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I'm considering whether "html site" means a plain HTML file or if I should just use the default Next.js setup, so I'll check the project structure first before deciding. I'll go with Next.js since that's the working environment, keeping the lava lamp as a self-contained component. For the visual effect, I'm weighing CSS gooey blobs with SVG filters versus a WebGL shader with metaballs versus Canvas 2D — a shader-based approach inside a glass-shaped lamp container would look most realistic and impressive. Now I'm recalling the actual proportions of a classic lava lamp: the metal base is a truncated cone, wider at the bottom and narrowing upward, topped by a tapered glass vessel and a small metal cap, and I want to get these dimensions right for authenticity. I'm recalling the Mathmos Astro lamp design specifically: a cone-shaped base wide at the bottom narrowing upward, with the glass bottle bulging outward from that narrow top before tapering again toward a small cap, giving that classic rocket-like profile. Actually, I doubt my memory of the exact taper direction, so I'm reconsidering the classic silhouette: a gold conical base widening toward the bottom, topped by a globe that's likely widest lower down and narrowing toward a small pointed-ish cap. Since getting the exact proportions right isn't critical, I'll just aim for a recognizable rocket-like silhouette rather than obsessing over precise measurements. Okay, I'll commit to the rocket-like silhouette: wide truncated cone base, bottle widest at bottom narrowing upward with rounded shoulders, narrowing cap. Now I'm weighing rendering approaches—thinking through whether to build the entire lamp as a single WebGL fragment shader using SDF shapes for glow and refraction, versus a hybrid rendering method. I'm leaning toward the full-shader approach for cohesive glow, and mapping out the key ingredients: organic metaball wax with realistic heating/rising/cooling/sinking behavior and stretching blobs, ambient colored glow spilling onto the surroundings, specular glass highlights, a base with light details, and interactive color presets. I'm also adding an on/off switch — flipping it off dims the glow and lets the wax settle into a pool, while turning it on warms things up and sends blobs rising again. For the palette I want to avoid clichéd purple gradients and lean into authentic 60s-70s lava lamp aesthetics — thinking through classic wax/liquid color combos (red-in-yellow, orange-in-clear, blue-with-white) alongside chrome/gold base materials and warm incandescent glow. For typography I'm leaning toward a groovy retro display font like Shrikhand or a soft 70s serif like Fraunces for a minimal title, paired with a plain sans or mono for the small controls — keeping the lamp itself as the clear visual centerpiece with everything else quiet. For color, I'm avoiding the near-black-plus-acid-accent cliché and instead considering a deep oxblood or brown background with metallic brass/chrome base details, since the actual accent colors will shift dynamically with whichever classic lava lamp preset (red/yellow, blue/white, pink/purple, etc.) is selected. Now I'm thinking through the rendering approach: a metallic base and cap, wax blobs with a soft glowing translucent look lit from below like subsurface scattering, a liquid gradient brighter near the bulb, glass highlight streaks, and a subtle pulsing radial room glow behind the lamp, possibly with a tabletop reflection—likely implemented with a single WebGL fragment shader for the glass contents. Now I'm weighing whether to draw the base and cap as SVG shapes clipped against the same glass silhouette so everything aligns pixel-perfectly, using SVG clipPath applied via CSS clip-path to mask the canvas, with metal gradients and highlight overlays layered on top. I'm second-guessing whether a simple lamp silhouette (trapezoids and a curved vessel) counts as the kind of "complex illustration" I should avoid hand-drawing directly in SVG. Considering CSS-based alternatives too — divs with clip-path polygons for the base and cap, gradients for metal — but the tapered glass vessel shape with rounded shoulders doesn't map cleanly onto border-radius or responsive clip-path paths. I'm settling on doing the whole lamp procedurally in the WebGL shader instead, since it's more flexible, scales responsively, and allows richer lighting interactions between the wax and the base. I'm now working out the metaball approach for the wax blobs: summing smooth falloff fields from ~12 blobs, stretching them anisotropically when moving to look more organic, and adding pool contributions at the bottom (and occasionally top) of the glass to simulate collected wax. For physics, I'm planning to simulate blob positions, radii, and temperature on the CPU, with heat near the bottom driving buoyancy. This gives a natural on/off cycle: turning the lamp off removes the heat source so blobs cool and sink, while turning it on lets them warm and rise gradually, with blob merging handled automatically by the metaball math. I'm passing this blob data into the shader as a uniform array, then structuring the shader around normalized "lamp space" coordinates scaled to fit within the viewport. Now I'm working out the actual lamp geometry proportions — a tapered base cone, a bulging glass globe whose width profile widens near the bottom and narrows toward the top, and a small cap cone at the very top. I'm trying to recall realistic proportions from classic lava lamp designs (like the Lava Lite Century or Astro models) to get believable height fractions and width ratios for the base, globe, and cap sections. For the shader implementation, I'm planning to approximate each part with a simple distance function comparing the horizontal offset against the profile width at that height, clamped by the vertical bounds of each section, which should be good enough for anti-aliased rendering. I'm starting to lay out the rendering order, beginning with the background layer. I'm thinking the background should be drawn directly in the shader as a dark room tone with a radial glow tied to the liquid color, since keeping it in the same canvas as the lamp gives a more cohesive glow effect, with the HTML UI just overlaying minimal controls on top. For the base layer, I'm working out cylinder-style shading using the x-position to fake a normal vector, then applying a metal-like gradient with highlight bands and warm color bleeding up from the glowing glass above. I'm also considering adding small glowing star or circular cutouts near the top of the base, computing their positions procedurally using an angle-based pattern so they compress realistically at the edges like a true 3D cylinder, though I'm weighing whether this added detail is worth the complexity versus keeping the design clean. Actually, I'll skip base holes and go with a brushed metal look with a thin rim. For the glass contents, I'm planning the liquid to be a deep saturated color that brightens near the bottom from bulb light with a subtle edge vignette, and the wax as a metaball field where I compute an analytic gradient for shading — brighter near the bottom, with rim lighting derived from the surface normal. I'll add diffuse light from below, a front-top-left specular highlight, and inner glow tied to field thickness, plus antialiased edges via the gradient magnitude, clipping blobs to the glass silhouette. I'll skip the hidden heating coil since the wax pool covers it, and give the glass a fresnel edge tint, vertical specular streaks, a top reflection, and a bright rim; the cap gets metal shading like the base with a bit of glow from below. For the surface, I'll keep it simple: a subtle floor tone below the base with a soft contact-shadow ellipse and gentle glow falloff rather than a full reflection. Beyond the lamp itself, I'm considering adding a minimal wordmark like "Lava Lamp" with a light, evocative tagline such as "a very slow screensaver." For controls, I'm planning a power toggle that fades the glow and cools/sinks the wax when off, plus a handful of classic color presets shown as small two-dot swatches, and maybe a heat slider for speed. I like the idea of a fullscreen "zen" mode where the UI fades on inactivity but returns on mouse movement or focus, and a playful "click to warm" interaction on the glass for a bit of delight without overcomplicating things. I also need to handle accessibility — labeling the canvas with a proper aria description, labeling controls clearly, and respecting prefers-reduced-motion by slowing the blob speed and disabling idle flicker rather than freezing it entirely, since slow motion is core to the whole concept. And I should account for a WebGL fallback, showing a simple message or CSS-based gooey effect if WebGL isn't supported. Now I'm reconsidering the actual deliverable: "make a html site" leans toward a plain static HTML/CSS/JS build rather than a full Next.js app, given the casual phrasing, though the default framework guidance nudges toward Next.js unless context suggests otherwise. Given the simplicity of a single-page lava lamp demo, a plain static HTML page feels like the more natural interpretation of what the user is asking for. Given the file:// compatibility issues with module scripts, the simplest robust approach is a self-contained index.html with inline or classic-script CSS/JS, served locally with something like `serve` or Python's http.server for the preview, and deployable as-is to Vercel as a static site. But weighing the trade-offs, Next.js is the safer default since it's guaranteed to work with the preview and publish flow, while a plain HTML approach risks breaking things by ripping out the scaffold. Since "HTML site" is likely just how a novice user describes any website rather than a literal request for a single static file, I'll stick with Next.js and just make sure the rendered output looks and feels like a clean, self-contained site. I'll skip asking clarifying questions since I should default to completing the request. Now I'm planning to check the project structure, look at the layout, styles, and config files, and consider calling GenerateDesignInspiration since the request doesn't specify a particular visual style — a lava lamp scene could use some retro, glowing design direction to guide the palette and typography. I'm sketching out the file structure: a layout with fonts and metadata, a globals stylesheet with design tokens, a page that renders a client-side lava lamp experience component, and separate modules for the WebGL canvas, shader sources, blob physics simulation, color presets, and UI controls for power/color/heat. I'll manage power, preset, and heat as local state passed into the canvas via refs so the animation loop can read the latest values without reinitializing WebGL — no need for SWR since this is all local UI state, not data fetching. Skipping localStorage persistence since this is a lightweight toy and shouldn't need saved state. Now I'm working out the actual lamp geometry in normalized lamp-space units — defining the base, glass, and cap boundaries along the vertical axis, then figuring out how the base's half-width tapers from bottom to top to get that classic truncated-cone silhouette with a slight flare and foot ring at the very bottom. I'm shaping the glass bottle profile mathematically, blending a rounded bottom shoulder (using an elliptical arc) into a linear taper toward the narrower neck near the top, so the bottle looks organically rounded rather than mechanically straight. Working through the rocket silhouette proportions, I confirm the overall width-to-height ratio fits comfortably across desktop, mobile portrait, and landscape viewports when scaled appropriately. Now I'm thinking about positioning the lamp — centering it horizontally and vertically between the header and control bar so it doesn't overlap the UI, with scale and center computed in JS and passed to the shader as uniforms based on viewport dimensions. For the actual layout, I'm sketching a desktop version with a wordmark top-left, maybe a power toggle top-right, and a bottom-center pill toolbar holding color swatches, a heat slider, and power control, with the lamp centered in the remaining space. On mobile, the wordmark stays at top and the toolbar moves to the bottom with scrollable swatches, keeping the lamp visible in between. I also like the idea of an idle-hide behavior — fading the UI and hiding the cursor after a few seconds of inactivity for a screensaver feel — plus grounding the lamp visually with a floor plane below its base, using a light pool and falloff to make it feel like it's resting on a surface rather than floating. Now I'm weighing whether to add a reflection on that floor surface: a mirrored, faded copy of the lamp glow could look like polished glossy tabletop and would only double the metaball evaluation cost for the small floor region, which seems affordable performance-wise, though I'm still deciding if a reflection of just the base actually reads well visually. Actually, since the visible reflection would mostly just be the base itself given the small floor area, I'll skip it and instead ground the lamp with a soft light pool glowing around the base plus a darker contact shadow right underneath. Now I'm turning to the blob count and structure for the lava simulation—roughly 9-11 free-floating blobs, an implicit bottom pool baked into the shader, and possibly a small merged cap pool forming when blobs cluster at the top. For each blob's physics, I'm defining position, velocity, radius, and a temperature value that drives buoyancy: heating occurs near the bulb at the bottom when powered on, cooling increases toward the top, and buoyancy forces push hot blobs upward and cool ones downward. I'm also adding viscous drag toward terminal velocity, gentle horizontal wandering with center attraction and wall repulsion, and vertical/horizontal boundary constraints so blobs stay within the glass. I'm scaling terminal velocity with radius so bigger blobs move faster, and adding vertical stretching proportional to speed so fast-moving blobs elongate, letting rising blobs naturally form a neck connecting to the pool below via the metaball rendering. Since metaballs already handle merging and separating visually without needing hard physics, I'm just adding a weak separation force so blobs don't all clump into one giant mass. For the pool at the bottom, I'm modeling it as a field contribution with a wobbling top surface that blends smoothly into the blob field so rising blobs connect naturally to the pool surface. I'm weighing inverse-square metaball falloff against compact-support falloff (Wyvill-style) for how the blobs blend and bridge — inverse-square gives long-range influence and natural gooey necks between blobs, while compact support is more controllable but needs tuning of radius and threshold to get similarly smooth stretchy bridges like a real lava lamp. For shading, I'm figuring out how to fake 3D roundness from the 2D scalar field by using its gradient as a pseudo-normal, since real lava lamp wax is translucent and backlit, so I want the blobs to look glowing and gummy with brighter facing-the-light regions rather than flat silhouettes. I'm using the ratio (field value - threshold)/gradient magnitude as a first-order approximation of signed distance to the blob's edge, then building a rounded dome height profile from that distance so I can compute lighting as if each blob were a true rounded 3D surface rather than a flat 2D shape. For the lighting model, I'm layering a bulb light from below with height-based falloff, a translucency-style rim glow at thin edges to simulate wax letting light through, ambient base color, and a moderate specular highlight from an upper-left key light to give the wax blobs a glossy, liquid sheen without looking too plastic. For the liquid, I'm giving it a vertical brightness gradient so it glows brighter near the bulb at the bottom, plus a horizontal falloff making the center slightly brighter than the edges, while skipping costly effects like wax shadows cast upward into the liquid to keep things clean and performant. For the glass, I'm adding edge vignetting to darken the sides, a thin fresnel-style bright rim near the glass boundary, and two vertical specular highlight bands of differing width and intensity that taper naturally with the glass curvature, plus a soft broad sheen. I'm also considering a subtle lens-like refraction mapping at the edges so contents viewed through the glass compress slightly like a real cylindrical lens. Now I'm thinking about the cap and base metal finish — deciding between a neutral chrome/silver (works with any palette) versus a warmer gold/brass tone reminiscent of classic lava lamps. For the metal shading itself, I'm working out how to compute the surface normal at each point on the cone/cylinder cross-section, factoring in the cone's slight upward tilt, so I can reflect a view vector off it for a realistic environment-reflection look. I'm also planning an environment reflection strip with bright and dark bands mimicking window light and room shadow, plus a subtle brushed-metal texture using horizontal noise lines, a machined-looking top collar ring, and colored light spill where the glass glow reflects onto the metal base near the top and bottom edges. For the room and background, I'm designing a dark wall color tinted subtly by the lamp's glow, with a soft radial halo around the glass that fades outward in two layers (tight and broad), gently flickering with the wax motion, plus a floor plane below the base with a lit pool and contact shadow. I'm also adding film grain noise to prevent banding in the dark gradients and a vignette to darken the corners, then handling power on/off transitions by smoothly easing a glow value toward 0 or 1 over a few seconds to simulate the bulb warming up or fading out. For the heat simulation, turning off drops the heat source to zero so blobs cool and sink, while turning on heats them from the bottom so they start rising after a compressed warm-up of about 5-10 seconds instead of the real 30-60 minutes. When off, I'll dim everything to roughly 12% brightness with faint ambient light so the lamp's silhouette stays visible, and on load I'll start the lamp already on with blobs pre-distributed and glow fading in over 1.5 seconds for immediate visual appeal. I'm also considering a "Heat" or "Warmth" slider to control simulation speed and rising rate. I'm settling on "Heat" as the control name, trimming the UI to just power, color, and heat, and adding a fullscreen screensaver button using the Fullscreen API (hiding it if unsupported). For color presets I'm brainstorming evocative wax/liquid pairings like Classic (red wax, yellow liquid), Ocean (yellow wax, blue liquid), Glacier, Magma, Nebula, and Slime, thinking through which combinations feel most authentic to real lava lamps. Now I'm refining these into five concrete presets — Molten (red-orange wax, amber liquid), Tidepool (yellow wax, blue liquid), and variations I'm testing like Absinthe or Flamingo — while being careful not to lean too heavily on purple since that's a design cliché, though one authentic purple-liquid preset among many still feels fine as long as it isn't the default. I'm also considering how contrast between wax and liquid colors matters visually against the shader. I'm settling on Molten (red wax, yellow liquid) as the default since it's the most iconic lava lamp look, and I'm now shaping the site's design system around it — a warm dark background, off-white foreground text, and an amber accent drawn from the liquid glow rather than the generic "near-black plus vermilion accent" cliché, since the ambient room glow naturally avoids pure black. Actually, a dark walnut wood-paneled wall could be a striking vernacular touch — a 70s den vibe, with vertical grain and grooves subtly lit by the lamp's glow and fading into darkness away from it. That risks feeling busy or cheesy though, so I'm weighing it against a quieter textured plaster wall with subtle noise instead. For the table surface, I'm thinking dark lacquered wood with a sheen to match the mood without overdoing the wood-panel theme. For the title font, I'm leaning toward something groovy and 70s — considering Shrikhand, Righteous, or Fraunces with heavy weight and soft/wonk variable axes for that Cooper Black-style display look. Now I'm planning the controls panel: a floating pill-shaped power switch, a radiogroup of color swatches styled like tiny lava-lamp capsules using accessible native radio inputs, a styled range slider for heat, and a fullscreen icon button, all built with proper ARIA roles and labels for accessibility. For swatches I'll go with native radio inputs for full accessibility, but use shadcn Switch and Slider for the power toggle and heat control since they're already conventions in this environment. That means I need to invoke the shadcn skill before adding those components via CLI, and I'll also use agent-browser later for verification. Then I'm weighing UI ideas — a cute cord-switch metaphor for power feels charming but overly complex, and letting clicks on the lamp itself toggle power risks accidental triggers, so I'll stick with a simple toolbar control. I'm also considering an idle-hide behavior that fades the header and controls after a few seconds of inactivity, implemented via a custom idle-detection hook, though I'm still weighing whether that's the right UX for this screensaver-style app. For performance, I'm figuring out how to cap the device pixel ratio and total rendered pixels so the shader stays smooth even on high-DPI displays, using an adaptive scale formula based on screen resolution, and I'm planning to skip shader computation for pixels outside the glass's bounding region to save GPU work. For WebGL setup, I'm deciding to prefer WebGL2 with GLSL ES 3.0 when available, falling back to WebGL1 with extensions, and working out how to compute anti-aliased metaball edges manually using the field's gradient and pixel size instead of relying on fwidth. g, then handle restored contexts by reinitializing. Now I'm designing the shader's uniforms: passing lamp origin and scale, an array of blob positions/radii/stretch in lamp-space units, and a pool factor representing how much wax has settled at the bottom. I'm reasoning that when the lamp is cold, blobs sinking into the pool region naturally reads as lumpy cooled wax, which is visually accurate rather than a problem to fix. I'm setting up the coordinate transform from fragment coordinates into normalized lamp space, defining the vertical bands for base, glass, and cap, and starting to write the function describing the base's width profile with a slight concave taper toward the foot. Now I'm refining that curve, adding a foot band, collar band, and cone body to the base, and deciding to layer the drawing order (glass, then base, then cap) so overlaps hide correctly. I'm starting the glass width profile function next. Working through the glass shoulder curve, taper slope, and cap profile, checking that each piece slightly overlaps the next so seams stay hidden, and settling on a simple SDF-style distance function with antialiasing for edges. I'm laying out the full composite order (background, glow, glass with liquid/wax effects, base, cap, then grain and vignette), then designing the metaball field function for the wax blobs — using an anisotropic distance metric so blobs can stretch vertically while preserving area, and deriving the gradient formula for shading while guarding against divide-by-zero for zero-radius blobs. Now I'm defining the pool of liquid at the bottom using an inverse-square falloff so blobs bridge naturally with the pool surface, adding gentle wobble to the surface height, and thinking through how blobs should flatten and stop before reaching the cap so they look physically grounded rather than clipped. I'm working out the wax surface normal calculation from the field gradient, approximating a rounded dome profile with a curvature radius so thin necks between blobs read as tubes rather than flat surfaces, then building the lighting model — bulb light from below with wrap-around diffuse for translucency, a rim glow term for backlit edges, ambient/self-glow contributions, and a subtle specular highlight so the wax doesn't look overly plastic. Finally I'm shading the liquid layer itself, adding a vertical brightness falloff so the region near the bulb glows more and the center column looks like a light cone, and I'm about to add floating particle details for extra atmosphere. I'm adding a soft halo glow around each wax blob by blending in the field value near the edges, then compositing the wax over the liquid using its coverage mask. Now I'm layering realistic glass effects on top: darkening near the tapered edges to fake thicker glass and dark-room fresnel, adding faint reflected highlights and specular streaks that curve along the glass profile, fading them vertically so they're strongest in the mid-glass region, and keeping a minimum streak visibility even when the lamp is off so the shape still reads. I'm also adding a horizontal lens-like refraction remap so blobs near the center look slightly magnified while those near the edge compress, giving a sense of a real glass cylinder. I'm defining the glass silhouette's edge antialiasing with a dark outline and thin inner rim highlight. I'm writing the metal base shading function — computing per-pixel surface normal across the cylinder, blending several exponential "environment reflection" bands to simulate studio highlights, darkening toward grazing edges, adding a brushed-metal micro-texture via hashed noise, and layering in colored glow reflections from the lamp glass onto both the base and the underside of the cap. I'm deciding between a brass or chrome finish for the base, weighing which fits the overall warm, dim-room aesthetic I'm envisioning, and starting to sketch out the full color palette — dark warm background, off-white foreground text, muted secondary text, a dynamic accent tied to the glow color preset, and a brass tone reserved for the in-canvas metal parts — with the idea of wiring the preset's glow color into a CSS variable that drives the UI's accent styling. 3c:oa,127:T6702,3c:o6702,Since the project is still the default scaffold, I need to build the lava lamp site from scratch. The user's "html site" phrasing just means a regular web page, so I'll build it as a Next.js App Router page since that's the working preview environment. Now I'm working through the actual visual design of a lava lamp: the classic shape has a tapered metal base cone, a glass "rocket" body that widens then narrows, and a metal cap on top. I'm recalling the iconic Mathmos Astro lamp silhouette to get the proportions right—wider base flaring outward, then the upper glass tapering back inward toward the neck. For the wax rendering itself, I'm weighing metaball approaches: an SVG gooey filter using blur and color matrix tricks, a canvas-based per-pixel metaball field on a low-res grid, or a WebGL fragment shader for the smoothest, most glowing result. I'm leaning toward WebGL for the best look, with fake 3D lighting from the field gradient and heat-based color gradients. I'm debating whether to render the whole lamp in one shader using signed distance fields for the glass shape, or composite CSS/SVG for the metal base and cap with a clipped WebGL canvas for the glass interior. Now I'm thinking about what makes the lamp memorable — a dark full-viewport room with the lamp glowing at center, casting colored light outward, classic color presets, a power switch with a warm-up animation where blobs rise from a pile at the bottom, and maybe a heat/speed slider for interaction. For the aesthetic, I want to lean into the retro 60s/70s psychedelic vernacular — Mathmos "Astro" style, groovy typography, warm amber glow, walnut wood and brushed chrome, avoiding the generic dark-mode-with-neon-accent look. The room's ambient tint could shift based on the lamp's chosen color theme, tying the whole page together as one cohesive lit scene. I'm keeping the palette to 3-5 CSS variables — a deep warm background, warm off-white foreground, muted text, and an accent that shifts with the lava color per theme — while being careful not to slip into the "near-black plus single accent" cliché by deriving the background glow from the lamp's own color instead of generic darkness. For fonts, I'm limiting to two: something groovy and 70s-inspired for headings (weighing options like Righteous, Shrikhand, or a softened Fraunces with high wonk/soft axes) paired with a clean body font. I'm imagining the page as a dark room where the lamp glows center-stage, styled with retro packaging vernacular — like a product label reading "Astro Lamp" with small technical specs, evoking the box the lamp itself came in. I want physical-feeling controls: an inline rocker switch for power, colorway swatches with names like "Red/Yellow" or "Blue/Green" mimicking classic lava lamp presets, and maybe a heat slider tied to a warm-up animation. Copy should stay minimal and in-character, like "click the switch to warm it up." For rendering, I'm planning a WebGL shader approach for the glass interior showing the lava and liquid, with the cap and base rendered separately around it. I'm weighing two approaches: rendering the whole lamp in one shader for cohesive lighting versus using SVG/CSS for the vector-crisp lamp body with a clipped WebGL canvas just for the interior. I'm leaning toward the second option, though embedding canvas via foreignObject inside SVG worries me because of Safari rendering quirks. For a convincing lava lamp look, I'm focusing on smooth organic metaball blobs lit from below near the bulb, translucent colored liquid with a bottom-brighter gradient, glass specular streaks, and subtle rim shading on the blobs to suggest subsurface glow. For the shader itself, I'm planning to sum smooth kernel fields around each blob center to define a surface threshold, derive normals from the field gradient for lighting, and layer in a soft halo glow plus a heated wax pool at the bottom where blobs form and rise from. For the blob dynamics, I'm giving each one a temperature that rises near the heat source and cools with distance, driving buoyancy so hot blobs rise and cool ones sink, plus drag and gentle wobble noise, while keeping them bounded within the tapered glass — with tuning so the blobs don't all move in sync. I want to randomize heat absorption per blob based on size, since bigger blobs have more thermal mass relative to surface area and should heat/cool more slowly. I'm also planning a power-state system: when off, everything cools and settles to the bottom; when turned on, the bulb lights immediately but the wax takes a "warming up" period before blobs start rising, which I could reflect in a small status label. For blob shape, I want to move beyond plain circles toward stretched, teardrop-like forms when rising, possibly by composing each blob from multiple linked metaballs or scaling distance anisotropically based on velocity. I'm working out the shader math for velocity-based vertical stretching, passing per-blob data like position, radius, and stretch factor, so merging and pinching-off happen naturally through the metaball field. I'm settling on roughly 10-14 blobs plus pool terms as performant, capping device pixel ratio at 2, and now sketching the overall lamp geometry using a normalized coordinate system with classic proportions. Recalling the Mathmos Astro's silhouette, I'm mapping out relative dimensions for base, glass, and cap: a wide flaring cone at the bottom, a glass bottle that bulges slightly above the base before tapering to a narrow neck, and a small flat-topped cone as the cap, translating these into trapezoid widths and heights within a 200-unit-wide viewBox. For a more elegant look I'm considering using curved SVG paths instead of straight-edged trapezoids, and figuring out whether I can use an SVG clipPath with objectBoundingBox units so the shape scales properly with the container rather than relying on CSS clip-path with fixed pixel coordinates. That gives me a single source of truth: a profile function defined once in JS, feeding the SVG glass path, the canvas clip-path polygon, and the physics wall collisions consistently. The shader itself doesn't need the shape data except possibly for edge darkening where liquid appears darker near curved glass walls due to longer light path length. For that cylinder-style edge shading, I'm considering passing the same profile as a uniform float array (say 48 samples) into the shader and interpolating between samples to compute local half-width at any height, rather than trying to fake it with a bounding-box gradient overlay that wouldn't follow the taper correctly. Since dynamic indexing of uniform arrays isn't reliably supported in WebGL1 fragment shaders per the GLSL ES 1.0 spec, I'll switch to WebGL2 with GLSL ES 3.00 where that's guaranteed, or alternatively just define the profile analytically using the same smoothstep-based formula in both JS and the shader to avoid arrays entirely. I'm working out a two-part profile function: an ease-out curve for the shoulder below the widest point and a linear taper above it, though I need to soften the kink where they meet at max width so it doesn't look like a hard corner. I'm also deciding on the shader approach — WebGL2 with uniform arrays for blobs, computing the glass profile analytically to match the JS version, and clipping the canvas shape via a CSS clip-path polygon derived from that profile. For cylindrical shading near the walls, I'm thinking an SVG overlay could work better than a gradient: drawing the glass outline as a thick, blurred, dark stroke inside a clipPath creates an inner vignette that naturally follows the tapered shape, since bounding-box gradients wouldn't bend with the taper. A highlight streak could similarly follow the wall profile, offset inward and blurred, while the shader itself doesn't need the profile data — only the physics simulation does. At the narrow top, blobs will naturally get squeezed against the walls, which actually reads as realistic squishing rather than a bug. I'm now leaning firmly toward the hybrid approach — SVG for the glass body, WebGL for the interior — since it balances crispness with maintainability better than a single all-encompassing shader. For compatibility, I'll write the shader in GLSL ES 1.00 so it runs on both WebGL1 and WebGL2 contexts, requesting 'webgl' with an 'experimental-webgl' fallback, and if no WebGL is available at all I'll show a simple static CSS gradient fallback. I also want to handle prefers-reduced-motion by slowing the simulation rather than freezing it entirely, since a lava lamp's motion is already slow and calming. Now I'm sketching the overall page composition: a full-viewport dark room with the lamp centered and tall, a colored glow on the wall behind it that reflects the current liquid theme, and a subtle tabletop surface beneath it with a reflected glow ellipse to ground the scene. For the UI I'm thinking about a 70s-inspired title treatment in the top-left, considering groovy display fonts like Shrikhand or something softer like Fraunces for a wordmark such as "Lava Lamp" or "Glow Motion." For the type system I'm settling on a "late-night 70s living room" aesthetic — pairing a groovy display font like Shrikhand with a Futura-inspired body/label font like Jost, which fits the space-age era of the original Astro lamp, using product-style technical labels for the controls. I'm keeping the lamp itself as the hero, with a small Shrikhand wordmark and quiet Jost-labeled controls (power toggle, colorway swatches shown as radio buttons) so nothing competes with the glow. For the third control I'm adding a heat slider using a native range input, plus an aria-live status text cycling through "Warming up…", "Flowing", "Cooling down", "Off" for accessibility. I'm deciding to keep interactions limited to these controls rather than adding pointer-based nudging or shaking gimmicks, to avoid unnecessary scope creep. Now I'm working out colorway palettes for the wax/liquid combos — planning a "Classic" red-orange wax in amber-yellow liquid, and a "Lagoon" style pairing yellow wax with a blue or teal liquid for contrast, along with a subtle ambient room glow that shifts color based on the mix of wax and liquid tones. I'm narrowing the final set to five distinct colorways — something like Classic, Lagoon, Orchid, Pearl, and Mint — while keeping the overall UI palette limited to 3-5 colors for cohesion. For the room design, I'm thinking about deriving the background glow directly from the lamp's liquid color so it's not just a flat near-black backdrop, using CSS color-mix to tint the wall subtly based on the active theme. I'm setting up custom properties for the lava, liquid, and glow colors, then building a radial gradient centered on the lamp's glass to simulate the light spilling onto the wall behind it. I'm sketching a "surface" element as a sideboard the lamp sits on, with a highlighted edge and a soft reflection glow beneath the base, and working out proportions so the lamp scales sensibly on desktop viewports. For layout, I'm considering splitting the desktop view into a left column with the wordmark and description and a right side for controls, keeping things centered and compact on mobile instead. I'm now leaning toward a simpler design: a single horizontal control strip along the bottom edge—power toggle, colorway swatches, heat slider—with the wordmark tucked small in a corner so the lamp itself stays the visual focus, wrapping into two rows on mobile. I'm also weighing adding an "ambient mode" that hides the UI entirely so it can just glow quietly, though I'm wary about keyboard shortcuts conflicting with button interactions. I'll build this within Next.js since that's what the preview environment supports, which still counts as a website for the user's purposes. Now I'm working out the SVG geometry for the lamp itself—defining the viewBox proportions and sketching out the cap, glass body, and flared base with specific widths and heights at each vertical section to get that classic lava lamp silhouette. I'm also thinking about adding a nice touch: small circular perforations in the base arranged in rows that glow warmly when the lamp is powered on, mimicking the star-cutout detail found in vintage lamp designs, which ties the visual glow directly to the power state for a bit of extra realism. For the base's cone shape, I'll compute hole positions along the curved surface so their horizontal spacing compresses toward the edges, giving a convincing 3D perspective rather than a flat, evenly-spaced look. I'm leaning toward a neutral chrome/silver metal finish for the base to keep the palette simple, with the top collar catching some reflected glow from the glass above when lit. For the glass itself, I'm planning layered overlays: a canvas layer for the liquid and wax, then SVG on top adding an inner vignette near the walls, vertical specular highlight streaks, and a faint outline stroke to suggest the glass edge. I'm also considering minor realism details — an air gap at the neck, a bright glow at the bottom where the bulb shines through the liquid — but deciding to skip finer touches like a visible coil, since the cap and base collar hide most of that area anyway. Now I'm working out the coordinate system for the shader, mapping the canvas bounds to the glass bounding box dimensions. Setting up shader coordinate conversion... Now I'm thinking about the metaball field function itself: each blob contributes a kernel based on distance, and I'm weighing bounded polynomial kernels against inverse-square kernels. The inverse-square approach gives that classic gooey merging and bridging effect that suits a lava lamp, though its infinite support means the field never fully drops to zero across the canvas, which I need to account for. I'm working through the math for when two blobs actually merge at a given threshold, comparing sharper falloff kernels (r⁴/d⁴) versus the gooeier r²/d² version, and also considering a signed-distance-field smooth-min approach as a more controllable alternative. With SDFs, I like that anti-aliasing and shading fall out naturally — using the signed distance as a depth proxy for thickness/brightness, and computing surface normals from the gradient via finite differences. I'm also working out how the pool itself could be modeled as another SDF surface (a wobbling plane) that smoothly unions with the blobs so they pinch off necks as they rise, and how to approximate a 3D height profile for each spherical blob for shading purposes. For merged/ambiguous shapes I'm considering a fixed bevel radius approach for the height profile instead, giving rounded edges with a flat plateau, then deriving normals from the 2D distance gradient plus the height derivative. I'm also thinking through the actual visual reference of real lava lamps — saturated glowing wax lit from below, brighter near the bulb, darker toward the top, with soft, slightly darkened edges from a Fresnel-like effect. Now I'm working out the shader's color composition: for the liquid, brightness increases toward the bottom with an added hot-spot glow near the bulb, blended with a whitish tint to simulate bulb light, while the wax gets its own bottom-lit shading term. For the wax normals, I'm computing them from the height field's signed distance derivative so surfaces tilt outward toward the blob edges, then defining a light direction pointing from below-front to drive the diffuse term, plus an extra vertical brightness gradient favoring the bottom and a subtle emission term to make thinner wax blobs read as more translucent. I'm adding a weak specular highlight since wax-liquid interfaces have low refractive contrast, then compositing wax over the liquid color with a soft tinted halo where the liquid near the wax picks up its hue from scattering. Finally I'm applying a simple exponential tone-mapping curve to tame the brightened bottom colors without harsh clipping. For the lamp uniforms, I'm setting up a brightness fade for the bulb toggle (dim ambient glow when off so the blob shapes stay faintly visible), and deciding to skip per-blob heat-based color and just pack position, radius, and stretch into a vec4. For the physics simulation, I'm defining each blob's state (position, velocity, radius, temperature, noise phase, heat rate) and setting up a heating rule where blobs near the bottom gain temperature over time when the power is on. Now I'm working out the buoyancy and drag model: blobs above a neutral temperature threshold rise while colder ones sink, with viscous drag limiting terminal velocity, calibrated so a blob takes roughly 8-15 seconds to traverse the lamp height. I'm also tuning the heating rate so a blob near the heat zone warms up over a few seconds, and considering a cooling rule that's stronger toward the top of the liquid. Actually, I want the blob temperature to relax toward an ambient liquid profile that's warmer at the bottom and cooler at the top, with smaller blobs equilibrating faster and the heat zone pulling blobs strongly toward maximum temperature. This should create realistic behavior where blobs heat and rise, cool partway and sometimes hover or sink back, while a few build enough thermal momentum to reach and squish against the top before cooling and falling again. I'm also thinking about the timing math for how long blobs linger at the top and bottom before triggering their next rise or sink, and I realize the bottom pooling rate needs to be much slower with more randomness per blob so they don't bounce off immediately. I want to add subtle horizontal wandering driven by slow noise and phase-shifted per blob, plus soft wall constraints, to mimic the natural convection currents where rising blobs favor the center and sinking ones drift outward. For blob interactions, I'm leaning on the metaball rendering to handle visual merging automatically when blobs overlap, which gives a free "merge and split" look as blobs with different velocities pass near each other. I'll add a bit of temperature exchange and velocity damping when blobs overlap so merged blobs feel like they stick together briefly before drifting apart. For the wax pool itself, I'm thinking of it as a thin flat layer at the bottom that blobs rest in and merge with when cold, forming a mound, and stretch out of via a smooth SDF union when they heat up and rise — using a vertical stretch factor tied to velocity so rising/falling blobs elongate before pinching off. To keep the stretched ellipse's area constant, I'll compensate horizontally by scaling by the inverse square root of the vertical stretch factor. I'll also add a subtle angular wobble to each blob's radius over time so they don't look like perfectly rigid ellipses. I'm estimating the cost: with 12 blobs, per-pixel atan/sin calls, and finite-difference gradient sampling across the lamp's pixel area at DPR 2, the total transcendental operations per frame land well within what even modest GPUs handle at 60fps, so I don't need to worry about performance there. Now I'm considering whether an analytic gradient through the smooth-min blend could avoid the finite-difference sampling entirely. I'm deciding finite differences (sampling the field at the point plus small offsets in x and y) is simpler and clean enough, though I could also use dFdx/dFdy screen-space derivatives, which are cheaper but tend to look blocky at 2x2 pixel granularity — a tradeoff I'd rather avoid by limiting gradient computation to a branch near the wax surface where shading actually matters. I also need to work out the pool surface shape at the bottom of the glass, and figure out how blobs should flatten realistically when they rise and press against the top of the glass rather than just getting clipped abruptly. Since the glass narrows near the top, big blobs won't fit the width and would otherwise look wrong just clamped in place, so I want to add a squeeze effect — stretching a blob vertically and compressing it horizontally as it enters a narrow section, capping the stretch factor so it doesn't look absurd, giving the illusion of wax naturally squeezing through the neck. When cold, the blobs pool into one big lump at the bottom via smooth union, which reads correctly. I want a global "lamp warmth" value that ramps up when on and decays when off, driving both the heating rate of blobs and the liquid temperature profile, so switching on causes a light flicker first, then a roughly 8-second delay before the first blob lifts off — long enough to feel like real warm-up but not tedious. I'm also leaning toward having the lamp default to on and already warm on page load, so the user sees the flowing effect immediately. On load, I'll set warmth to 1 and scatter blobs across bottom, middle, and top positions with temperatures matching their placement, plus a quick incandescent-style flicker-up for the bulb on power-on and a slower orange afterglow fade when powered off. For the heat control, I'm going with a slider labeled "Heat" that displays a wattage value (like "30W") as a playful nod to bulb strength, since it's more tactile and immediately understandable than a segmented low/med/high control, and it scales the heating rate and buoyancy to speed up or slow down the wax flow. I'm considering an ambient/focus mode that fades the UI away to spotlight the lamp, but I'll likely skip auto-hide behavior since it risks feeling confusing rather than useful, and I want to stay focused on core functionality. For the background, I'm layering a warm dark base derived from the liquid color with a radial glow centered on the glass that scales with the light level, plus a secondary tighter glow blending liquid and wax tones. I'm now working out the room's perspective: the wall fills the top portion of the viewport, the tabletop occupies the lower band where it meets the wall at a horizon line, and the lamp sits on that surface with a colored glow pooling in an ellipse around its base plus a subtle contact shadow directly beneath it, giving the scene a sense of depth between the wall glow and the tabletop reflection. Now I'm planning the layout structure: a relative full-height container with absolutely positioned layers for the wall glow, table, and lamp, then working through responsive breakpoints—on desktop, the lamp centered with a wordmark and description on the left and a quiet controls panel (power, colorway, heat) on the right, while on mobile the wordmark and power switch sit in a header row, the lamp shrinks to fit, and the colorway swatches plus heat slider move to the bottom. Actually, if controls sit below the lamp on the table area, I need the table's top edge and the lamp's base position to shift together—let me restructure as a stage region containing the wall and table, with the lamp anchored to the bottom of that stage and a shelf-like band marking the table surface, leaving the darker area beneath for the controls. I'm settling on a simpler layout: a full-bleed backdrop layer holding the wall glow and a bottom shelf band, with the actual content on top structured as a header, a lamp stage, and a controls aside arranged in a responsive grid. On mobile, I want the controls area itself to act as the tabletop surface the lamp overlaps, so the alignment stays automatic rather than requiring separate height calculations between the shelf and controls. Actually, maybe I'm overcomplicating this — skip the explicit shelf table entirely and let the lamp float with its own ground glow ellipse beneath the base, which implies a surface without alignment headaches. I could bake that glow into the lamp component itself, then just place the lamp in the layout. A subtle darkening gradient toward the bottom of the viewport could reinforce the sense of a table/floor zone without needing a hard horizon line. Now I'm designing the controls: a pill-shaped power toggle with a glowing indicator when on, a radio group of round swatches showing colorway combos (wax/liquid colors) with a selected-name label below, and a custom-styled heat slider with a glowing thumb. For typography, I'm leaning into the 70s groovy era of lava lamps—considering a bold display font like Shrikhand for the wordmark while keeping labels cleaner. I'm also picturing a dark wood-paneled wall behind the lamp, with subtle vertical grooves rendered via a repeating gradient that only become visible where the lamp's glow hits them. I'm working through the color palette next, deciding on a warm near-black background (deep browns rather than pure black or teal/olive tones), with the lamp's glow color itself providing the accent rather than a fixed UI accent color, sticking with the iconic red-wax-in-yellow-liquid as the default colorway. Now I'm planning the component architecture: a server page rendering a client experience component that holds power/colorway/heat state, a separate lamp component running its own animation loop with WebGL rendering, plus supporting modules for the physics simulation, renderer, colorway definitions, and controls—keeping the animation loop driven by refs so prop changes don't restart it. I'm working out the precise geometry of the lamp based on real Mathmos Astro proportions—converting centimeter measurements into SVG viewBox units for the cap, glass body, and base, then defining the glass silhouette as a blend of two cone-shaped lines meeting in a smooth, rounded shoulder using a smooth-minimum formula to avoid a hard kink at the widest point. Writing SVG geometry code... I'm figuring out the rendering order and layering—ground glow behind the base, canvas for the glass interior sim, then an SVG overlay on top for glass effects, base, and cap—making sure the base and cap in the overlay visually cover the parts of the canvas that shouldn't show through. I'm detailing the base's visual design: a metallic cone gradient using neutral greys, a glowing collar reflecting the lamp's inner light via screen blend mode, and small perforated holes near the top that light up warmly when powered on, kept tiny enough to read as charming detail rather than distraction. Writing glass highlight and outline SVG paths... 3c:oa,128:T296f,3c:o296f,Nothing's built yet, so I need to create a lava lamp site as requested. Since this is a Next.js project, I'm deciding whether to build it as the main page component within the existing template structure rather than a standalone static HTML file. The key visual challenge is the merging blob effect — I'm weighing SVG gooey filters versus WebGL metaball shaders for realism versus complexity. I'm picturing a dark room scene with a glowing lava lamp casting light, maybe with color theme controls and a clickable power switch, styled after the retro Mathmos Astro lamp design. I'm adding a warm-up simulation where the lamp gradually heats over a few seconds instead of real-world hours. For color constraints, I'm keeping the core UI palette minimal (near-black room, off-white text, muted gray) while letting the wax color itself serve as the dynamic accent, so presets feel like content rather than breaking the design system's color rules. But I want to avoid the cliché near-black-plus-acid-accent look, even though it's grounded in the lava lamp subject. Instead of a plain dark room, I'm considering a warmer 70s-inspired setting — walnut wood paneling, mustard and brown tones — so the background itself carries a specific retro identity rather than defaulting to generic darkness lit by a single accent glow. I'm sketching the palette: a deep umber-brown background with a radial glow tinted by the lamp's liquid, warm cream text, muted brown-gray secondary text, and an accent tied to whatever wax color the lamp preset uses. The lamp illustration itself (chrome base, glass, liquid) can carry its own gradient grays and colors as part of the artwork without breaking the five-color UI palette rule. For typography, I'm narrowing to two fonts and considering retro-flavored display options like Righteous, Shrikhand, Bungee, or Fraunces for a groovy 70s feel paired with a clean body font. I keep cycling through melting/drippy fonts but reconsider: maybe the lamp itself should be the bold signature element, with everything else quiet — a clean grotesk or mono for any small labels rather than a loud display font. That raises the question of what content a lava lamp site even needs, and I lean toward a pure ambient toy: full-screen lamp with minimal controls like power. I'm settling on building an interactive full-viewport dark 70s room scene with a realistic lava lamp at the center, a small vintage-styled control panel for power, color presets, and heat/speed, plus a tiny caption and ambient wall glow that reacts to the lamp's state. For the blobs themselves I'm weighing an SVG gooey-filter approach using layered circles animated inside the glass shape. Comparing that against a WebGL metaball shader that sums field contributions from several blobs to get smoother merging and fake 3D lighting with rim light and subsurface glow, clipped to the glass silhouette — the SVG route is easier and DOM-friendly but needs extra gradients for shading, while WebGL looks far more polished but is more complex to implement. I'm leaning toward hand-rolled WebGL (no library) since it'll be more impressive, though I'll need to be careful given headless browser testing likely relies on software rendering. I'm now working out the classic tapered glass silhouette shape so I can mask the shader output to it while building the chrome base/cap separately in CSS/SVG. I'm working out the exact width profile of the glass along its height — narrow at the bottom matching the base's top, bulging widest around a quarter of the way up, then tapering toward the cap — and planning to encode that as a smooth function so the base, glass, and cap widths align seamlessly at their joints. For clipping the WebGL canvas to the glass shape, I'm weighing options: pixel-based CSS clip-path won't scale responsively, but an SVG clipPath using objectBoundingBox units would scale correctly across browsers. The most robust approach is doing the masking directly inside the shader by reimplementing the same width function in GLSL, so I need to keep the JS-generated SVG path and the shader's math perfectly in sync. I'm working out a simple polynomial formula for the glass width as a function of height that widens toward the bottom, bulges near y≈0.3, and tapers up to the neck—testing values at several sample points to see how close the curve matches the real lamp's proportions. Now I'm trying to nail down actual dimensions in pixels and inches, estimating the base, glass body, and cap heights and diameters relative to the classic lava lamp shape. I'll keep the base a brushed silver/aluminum finish rather than complicating with color variants. For the lighting, I want warm light glowing upward through the glass liquid, brightening near the base, with a soft leak at the collar rim and an ambient glow pool spreading onto the surface and wall behind the lamp — I'm considering whether a generated wood-paneled wall texture would help sell the 70s scene or clash with the rendered lamp. A CSS gradient wall feels cleaner than a generated background, and I might add subtle film grain via an SVG turbulence filter for warmth. I'm debating whether to animate the wall glow to breathe with the wax motion or keep it simpler with a gentle CSS pulse, with the glow color tied to the preset and fading when powered off. For controls, I'm thinking of a small vintage-style panel positioned near the lamp, and I need to work out sizing so the lamp scales properly to fit both desktop and mobile viewports. Now I'm sketching the concrete layout: a full-screen container with a wall gradient background, a small wordmark/caption top-left avoiding trademarked names, and a control card on the side for power, heat, and color options. I'm also considering placing the lamp on a tabletop-like surface at the bottom of the screen, with a front edge and perspective so it looks like it's resting on a shelf catching the glow. I'm now settling on four color presets for the lamp, pairing classic wax/liquid combos like warm red-orange wax in golden liquid, or pale yellow wax in deep blue liquid, while avoiding overused purple clichés and picking distinct oklch color values for each. For the UI itself, the theme colors stay minimal — dark wall background, warm light text, muted warm gray, and translucent card surfaces — with the selected wax color driving accent elements like slider thumbs and the power indicator through a CSS variable. Now I'm turning to the actual physics: each simulated blob needs position, radius, velocity, and temperature properties to drive realistic rising and falling motion in the glass. I'm designing the heat/buoyancy model where blobs near the bottom warm up and rise while cooling ones near the top sink back down, with drag and gentle horizontal drift for organic wandering, plus a clamp keeping them inside the glass walls. I'm also planning a static puddle of pooled wax at the base to represent the melted reservoir blobs emerge from, since blobs visually merging via metaballs is enough to sell the lava lamp look even if they mathematically just pass through each other. Now I'm working out the field function and coordinate system: defining glass-local design units matching the SVG viewBox, sizing blobs as a fraction of the glass's max half-width, and setting up the classic metaball field (sum of radius-squared over distance-squared, thresholded) so I can compute smooth gradients for shading. I'm considering swapping the classic 1/d² kernel for a finite-support soft-object kernel like Wyvill's to avoid far-field bulging between distant blobs, though with only ~10 blobs performance isn't a concern either way. For the lava-lamp look, I'm thinking through how wax glows from the bulb below — blobs brighter near the bottom, cooler and darker as they rise, with the surrounding liquid also glowing brightest near the base and fading upward. For the actual shading, I'm working out how to derive surface normals from the field gradient, light them from below with a rim/specular pass for realism, and blend a darker-to-bright wax color based on height and lighting intensity. For anti-aliasing the blob edges, I'm computing the field gradient analytically inside the accumulation loop so I can derive a pixel-space edge width for a smoothstep, avoiding the need for fwidth or WebGL2-specific derivative support. I'm also planning the liquid's vertical light gradient (bright near the bulb, fading upward), a subtle light cone effect, and glass-related lighting cues like edge darkening and specular highlight streaks — deciding whether these belong in the shader or as SVG overlays for crispness, and leaning toward keeping the shader focused just on the glass region with the rest of the lamp (base, cap) built in SVG/CSS for accessibility and crisp edges. I need to handle premultiplied alpha correctly and anti-alias the glass silhouette mask using an approximate distance-to-edge calculation. I'm thinking through constraining wax blob positions to stay within the glass silhouette so clipping reads as them pressing against the glass, and confirming performance is trivial given the canvas size and blob count. Now I'm designing the power/heat state machine — warm-up and cool-down timings, how heat affects glow intensity and blob buoyancy/temperature, and the satisfying "power off" moment where the room and lamp go dark together. I'm adding a flow/heat slider for controlling how lively the wax motion is, plus respecting prefers-reduced-motion by slowing the simulation rather than freezing it, and pausing rendering appropriately when the tab is hidden. For accessibility, I'm planning ARIA roles and labels for the canvas and proper semantic controls for the power button, color presets, and sliders. I'm sketching out the file structure: a scene component, a lamp component combining SVG chrome and canvas, a canvas component running the WebGL simulation, a controls panel, and separate lib files for presets, simulation logic, shaders, and the shared glass profile geometry. I'm also reconsidering the user's phrasing "html site" — weighing whether they want a literal static HTML file versus just a general web page, and deciding that defaulting to a Next.js app is the safer, more idiomatic choice unless they explicitly ask for a single static file. Finally, I'm deciding to invoke the design inspiration tool now since no specific visual style was requested, and noting I'll use the browser verification skill later to screenshot and confirm the finished lamp renders correctly. 3c:oa,129:T5b53,3c:o5b53,I'm pulling together a few visual references — luminous generative graphics on dark backgrounds, small uppercase mono data labels, a warm orange-tan palette, and a 3D hero object with type — to shape an identity direction that favors restraint and small, precise details. For the lamp itself, I'm imagining a telemetry-style readout panel showing its live state — temperature climbing during warm-up, then labels like "FLOWING," "COOLING," or "OFF" — functioning as genuinely useful info rather than decoration. I'm also sketching the desktop composition: the lamp centered and large against a shelf line, a small wordmark and mono sub-label top-left, the state readout top-right, and a small caption like "Est. 1963 — Model A" tucked bottom-left, while debating whether a big Axiom-style headline would compete too much with the lamp as the visual centerpiece. Now I'm dropping the fake model number idea since arbitrary numbers feel decorative rather than meaningful, and I'm thinking through the palette — a dark walnut-brown room rather than pure near-black, with the wall glowing to match whatever color the lamp's liquid preset is, so blue liquid tints the room blue and so on. For type, I'm weighing pairing a quirky 70s-flavored grotesk headline font like Syne or Bricolage Grotesque with a mono label font, steering away from the overused Space Grotesk/Space Mono or default Geist combos. Landing on Bricolage Grotesque paired with DM Mono for a restrained but retro feel, though now I'm reconsidering Fraunces with its soft axis for a Cooper Black-esque 70s wordmark treatment on the word "lava," which would be a stronger period nod than a plain grotesk. Comparing options, I lean toward Bricolage Grotesque with DM Mono labels — it fits the "scientific instrument" framing better than a retro Fraunces treatment, giving the lamp a museum-placard/instrument-panel feel. A temperature readout during warm-up feels justified since it explains why the wax isn't moving yet, rather than being decorative telemetry I should avoid. I'm sketching the layout: wordmark and tagline top-left, STATE/WAX temp readout top-right, lamp centered on a shelf, caption bottom-left and Power/Flow/Colour controls bottom-right, all sitting above a shelf line with a wooden front face. For mobile, I'm adjusting to a stacked arrangement with the lamp taking up most of the vertical space, wordmark/state on top and controls below. Now I'm working out the glass color presets as actual hex values I can convert to shader-friendly RGB floats -- pairing wax and liquid colors like red-orange with amber for a classic look, yellow wax with deep blue liquid for a "Nightshift" theme, and considering aqua or pink wax options with clear or tinted liquids to find combinations that glow well in a dark room. I'm also thinking through how the light actually behaves in a real lava lamp: the liquid glows brightest near the bulb at the bottom and dims toward the top, while the wax blobs look darker and more saturated where thick but brighter and more orange-tinted at their thin, translucent edges where the backlight shows through. I'm sketching a shading model — a thickness value from the blob's shape drives a color mix between light and deep wax tones, plus a bottom-up light attenuation term multiplied by normal-based diffuse lighting so the undersides of blobs catch more glow, with a bit of subsurface scattering added at thin edges and a subtle specular highlight for realism. For the liquid, I'm blending deep and light colors based on a similar height-based light falloff with a soft central glow cone, deciding to skip modeling wax shadows cast into the liquid above as unnecessary complexity. I'm considering approximating soft occlusion of light by blobs below a given point using the metaball field itself as a cheap shadow term, but deciding to keep this feature moderate and possibly defer it. For the glass, I'm adding Fresnel-style edge darkening, a thin rim highlight near the glass boundary, and a couple of vertical specular streaks with varying intensity along the height, skipping refraction effects, and starting to handle the case where the lamp's power is off so lighting fades to weak ambient only. Now I'm setting up the coordinate system for the simulation, defining a normalized glass shape with height and half-width parameters, and specifying blob radius ranges along with an extra field term to represent the liquid pool at the bottom. Working through the blob physics — heating stronger near the bottom, cooling toward a colder ambient temperature near the top, buoyancy driving vertical motion, and horizontal wander with centering forces to keep blobs inside the glass boundaries. But I'm realizing a full temperature-based physics simulation risks getting blobs stuck, so I'm reconsidering a simpler, more controllable approach instead. I'm now leaning toward temperature-based physics tuned with size-dependent rates: bigger blobs heat and cool more slowly than small ones, mirroring real lava lamps where large blobs linger and small ones cycle quickly. I'm also weighing whether to model blob-to-blob merging and splitting behavior. I'm using an anisotropic distance kernel to blend the pool ellipse with nearby blobs so they merge smoothly at the bottom, and letting the pool grow when the lamp cools and everything sinks together. I'll skip the heating coil detail since it's hidden under wax, but I do want blobs to flatten when they hit the narrowing top of the glass, and I'm giving each blob gentle sine-based horizontal wandering toward a shifting target position. Settling on nine blobs of varying sizes for the final composition. Now I'm adding subtle radius oscillation for organic wobble, plus an area-preserving anisotropic stretch so blobs elongate into teardrop shapes when rising quickly, passed as a per-blob uniform vector alongside position and radius. I'm structuring the shader uniforms to hold blob arrays, pool ellipse parameters, heat level, and color stops, writing this in GLSL ES 1.0 for WebGL1 compatibility with fixed-size uniform arrays and constant-bound loops. Writing field function code... I'm working through the anisotropic gradient math for blobs and pools, deriving how the falloff kernels combine, and checking that overlapping fields from multiple blobs stay organic-looking without excessive bulging near thresholds. I realize the 1/D-style kernel causes unwanted global inflation in crowded regions (~29% boundary expansion), so I'm switching to a finite-support Wyvill kernel instead, which only lets blobs merge within a limited range and avoids that inflation problem. Now I'm deriving the gradient for this new kernel. Comparing feel: 1/d² merges create smooth, reaching lava tendrils, while the Wyvill kernel behaves more like surface tension with distinct blobs that touch and fuse rather than stretch. I'm settling on the polynomial kernel with cubic falloff and computing the right radius scale and threshold so two equal blobs merge at a reasonable separation distance. For the pool at the bottom, I want it to look like a mound of melted wax rather than a flat layer, so I'm modeling it with a wide ellipse using the same field kernel to give it a dome-shaped surface that blobs can rise from. Blobs sinking into the cold pool visually merge with it, bulging the dome to suggest accumulating wax. I'm now working out the temperature dynamics for each blob: heating faster near the bottom heat source, cooling toward an ambient gradient that's warmer below and cooler above, and buoyancy driven by deviation from neutral temperature with viscous drag opposing motion, aiming for realistic multi-second rise times matching real lava lamps. Testing the numbers mentally, initial heating rates were far too fast (blobs would heat and rise almost instantly), so I tuned the heating coefficient down so blobs linger near the bottom for about a second before drifting upward, continuing to warm as they climb through the hot zone before cooling causes many to stall or sink back around mid-height — which actually creates nice variety, since some blobs will make it all the way up while others don't, and this should scale with blob size too. I'm worried about a stable equilibrium point where a blob's temperature exactly matches the ambient temperature at some height, causing it to hover motionlessly instead of continuing to rise or fall — I need to make sure the ambient temperature curve doesn't create that neutral-buoyancy trap. This is a third-order dynamical system whose stability depends on the parameters, so instead of risking that ambiguity, I should just concentrate the heating narrowly at the very bottom near the pool — that way blobs heat only while resting there, then rise past the zone and cool naturally. Though I realize this could still create a small bouncing oscillation right at the zone's edge, so hysteresis in the heating trigger might be the cleaner fix. Actually, real lava lamps work through adhesion — wax stays attached to the bottom pool until it's heated enough to overcome surface tension and break free. I should model this "stuck" state explicitly: a blob remains fixed at the bottom accumulating heat until it crosses a release threshold (like T > 0.85), then detaches and rises strongly buoyant, cooling as it ascends, sinking once it cools below the midpoint, and re-sticking once it touches bottom again. I want to add a subtle necking effect too — as the stuck blob approaches its release temperature it should visually rise and stretch slightly, simulating a bulge forming before detachment. At the top, blobs should clamp against the ceiling, cool quickly since that's the coldest zone, then sink back down. And when power is switched off, heat input stops so nothing reaches release temperature and all wax settles into one stuck mass at the bottom — restoring power should ramp heat back up gradually, releasing blobs one at a time in a staggered fashion. I'm also mapping heat level to a displayed wax temperature (roughly 22°C to 60°C) and defining status labels like "Off," "Cooling," "Warming up," and "Flowing" based on power state and heat level thresholds, with separate time constants for warm-up versus cool-down, plus a faster-responding bulb glow that turns on almost instantly compared to the slower-melting wax. For the initial page load, I've decided the lamp should start already warmed up and flowing with blobs distributed at varied heights so the first impression is delightful, letting users toggle power afterward to see the realistic warm-up and cool-down behavior — including wax dulling in appearance when cold and continuing to drift briefly after power-off before settling. For interaction, I'm making the whole lamp itself clickable to toggle power (with proper aria-pressed labeling and focus styling) in sync with a separate power switch in the controls panel, while skipping a cursor-hover heating gimmick to keep things restrained. For the ambient glow, I'm layering a radial gradient behind the lamp whose color and intensity track the preset glow color and light level, updating a CSS custom property directly via ref inside the animation loop for performance rather than through React state, and considering a subtle flicker tied to how much wax occludes the bottom of the lamp to mimic a real lamp's shifting output. For smooth color transitions between presets, I realize CSS can't natively animate radial-gradient colors, so I'm using the @property syntax to register the glow variable as a `` type, which lets it interpolate smoothly across modern browsers. Now I'm working through the lamp's SVG geometry, defining a coordinate system for the glass body based on real Astro lamp proportions—figuring out the ratio between glass height and max half-width to get realistic dimensions. That gives an aspect ratio near 1:3, so I'm setting up the SVG viewBox at 300×780 with the lamp centered horizontally, computing pixel positions for the base, glass, and cap sections. I'm positioning the WebGL canvas absolutely within that same coordinate system using percentage offsets so it lines up exactly over the glass region, then planning a separate SVG overlay layer for the glass outline, highlights, and chrome base/cap details. Working out the layering: the shadows and glow sit behind the canvas, the canvas renders the glass contents, and a front SVG layer draws the base, cap, collar ring, and glass highlights with a transparent cutout so the canvas shows through. I'm deriving the same glass-width formula for both the SVG outline path and the GLSL shader mask, solving for the curvature constant so the profile peaks correctly between the narrower top and wider bottom. I'm now sampling the width function at various heights to check the resulting silhouette isn't too round at the base or too curved near the top, tracing values from the bottom bulge up toward the neck. Now I'm working out the base structure: a straight cone tapering from the glass bottom down to a wider foot, with a collar ring where it meets the glass, plus a matching cap at the top with its own ring detail. I'm planning a chrome-like gradient for the metal parts, going from dark edges to a bright highlight across the cone. Since the room is dark, the chrome should read as mostly black with sharp vertical highlights that pick up the lamp's glow color when it's lit, dimming to neutral tones when off — plus a bright rim glow near the collar where light spills up into the glass. I'm also adding a soft white highlight streak along the glass surface as an overlay for extra realism. I decide it's simpler to compute the highlight bands directly in the shader using the same profile math already driving the u-coordinate, rather than layering a separate SVG on top — this avoids alignment headaches and keeps everything in one pass, including a thin brightened/darkened rim near the silhouette edge. So I'm settling on a layering scheme: SVG for the shadow pool, base, collar, and cap, with the canvas glass drawn beneath it since the collar and cap overlap the glass edges. The table glow pool can just be an absolutely-positioned radial gradient element behind everything, and I can drive the chrome gradient colors dynamically using CSS variables in the SVG stop-color values. Now I'm working through canvas sizing and coordinate mapping — setting up a ResizeObserver to scale the canvas by device pixel ratio, then converting fragment coordinates into glass-space units so the shader math lines up with the rendered dimensions. Writing shader uniforms and helper functions... Adding pool contribution to the field, then working out threshold math for blob visible radius versus support radius, and deciding on an area-preserving stretch scale for elliptical blobs before moving to the wax mask calculation. I need to guard against degenerate smoothstep edges when the gradient is near zero, so I'm adding a small epsilon floor. Then I'm working through the wax shading logic: computing thickness from the field value, and deriving a normal from the gradient scaled so edges tilt convincingly while staying flat at the center, considering a dome-height approach for a more sphere-like falloff at the silhouette. For lighting I'm setting up a bulb light from below since the wax is translucent, computing diffuse and falloff terms with height-based attenuation, adding a subsurface glow that brightens thinner regions, and a dim ambient term, while considering whether to skip specular since the wax reads as fairly matte. Now I'm balancing wax color mixing between highlight and base tones by thickness, layering lit and ambient contributions plus a soft top-left sheen, then working out the liquid color similarly with a light-cone falloff that brightens near the bottom and center so it looks convincingly dark when the light is off. I'm also starting to account for occlusion, where blobs cast shadows on the light above them. Now I'm adding glass effects — edge darkening from apparent thickness at the silhouette, plus a subtle rim highlight near the glass boundary. I'm weighing tone-mapping approaches — ACES risks shifting hue on saturated wax colors, so I'm testing a simpler exponential mapping (1-exp(-col*exposure)) that preserves saturation reasonably well while still giving a nice glow near the bulb, accepting a modest desaturation tradeoff for simplicity. I'm settling on a basic clamp with a hint of dithering noise to avoid banding in dark gradients, then moving into defining the TypeScript types and simulation state for the wax blobs — position, velocity, radius, temperature, and stuck state. Defining simulation types... Still writing blob physics... Working through the ODE for cooling and rise distance, I find that with default cooling rates blobs only reach 43-62% of the height, so I need to slow cooling further to get blobs reaching near the top—testing c=0.06 gives 73% height and c=0.043 for larger blobs gets close to full height. I also need to account for ambient temperature varying by height (warmer at bottom, cooler near top), which reinforces the rise-then-sink cycle, and for size-dependent heat capacity where smaller blobs cool/heat faster since surface-to-volume ratio scales as 1/r. Finally I'm sketching how blob-blob coupling should work: when two blobs get close enough, their temperatures and velocities partially equalize over time, with surface tension causing full fusion when they touch. Partial coupling makes similar-temperature blobs travel together temporarily before drifting apart, mimicking how real lamp blobs merge and separate. For stuck blobs pooling at the bottom near similar x positions, I want them to overlap into a larger lump with slow horizontal drift, and at the top I'm handling the glass narrowing by clamping blob position so it presses against the cap and gets visually clipped, resembling wax pooling under the lamp's cap. For initial conditions, I'm picking nine blobs with a range of radii from small to fairly large (up to 42% of the glass width), then pre-simulating roughly a minute of sim time at startup so the lamp starts mid-flow rather than in an artificial resting state, using client-side randomness safely inside a useEffect to avoid hydration issues. Now I'm working out the pool dome's visible shape and support radii so the density kernel produces a believable blob merge near the bottom. I'm also thinking through wax appearance when cold or when the lamp is off — dimmer sss, dull ambient-only lighting around 0.08-0.12 so the lamp is still faintly visible in the dark room, with pool strength scaling with accumulated stuck wax. For the React side, I'm planning a client-only LavaCanvas component taking power/flow/preset props and an optional throttled telemetry callback (~4Hz) to avoid re-rendering React state every frame. Now I'm sketching the component hierarchy: a `LavaLamp` button wrapping a canvas layer for the fluid simulation and an SVG layer for the lamp body, with a per-frame callback that updates CSS variables directly on a ref'd root element for the room glow rather than triggering React renders, keeping the readout state separately throttled. React state should update sparingly, just a few times per second during warm-up and not at all in steady state. For the shader colors, I'll smoothly lerp the current wax and liquid colors toward each preset's target using exponential decay each frame. I'm now defining the preset library with distinct color palettes for each lava lamp style — Ember (red-orange wax in golden liquid), Midnight (yellow wax in blue liquid), and Flamingo (pink tones) — along with matching glow colors for the room ambiance. For the third preset I'm reconsidering the liquid color: a clear tint risks looking washed out near the bulb, so I'm leaning toward pairing the pink wax with a turquoise liquid instead for a punchier, more retro combo. For a fourth option I'm weighing a lime green wax, but trying to avoid pairing it with purple since that would push the room glow into a cliché purple gradient look — still deciding how many presets to finalize. I'm settling on a fourth preset, "Glacier," with white or icy wax in a teal-blue liquid, and considering whether the UI accent should derive from the glow color rather than the wax to keep each preset visually distinct from Midnight's blue tones. I keep cycling through color pairings to avoid repeating hues across presets. I'll settle on four: Ember with red wax in amber liquid for an amber-orange glow, Midnight with yellow wax in cobalt liquid for a blue glow, Lagoon with magenta wax in turquoise liquid for a vibrant turquoise glow, and a fourth option still being weighed between Emerald or Rosé for variety. For the UI, I'm picturing swatch icons as small circles with a liquid-colored ring surrounding a wax-colored dot to visually represent each preset combination. I'm also planning a "Flow" speed slider ranging from lazy to lively with reduced-motion defaults, plus a status readout showing wax temperature that climbs during warm-up, with playful copy noting that real lava lamps take an hour while this one heats up in seconds. Now I'm working out the copy and layout: a lowercase "lava" wordmark with a tagline, a small mono status readout, a caption explaining the wax cycle with a nod to the lamp's 1963 invention, and a subtle hint about tapping the lamp to turn it off. I'm arranging these elements symmetrically around the centered lamp — wordmark and readout up top, controls and caption near the bottom on the empty wall space — while adapting the layout for mobile with a stacked header. I'm rethinking the bottom shelf as a 70s hi-fi cabinet front panel, with the controls built right into its face like knobs on a stereo, so mobile and desktop can share the same compact layout without controls overlapping the shelf. I'm working out the vertical proportions: on desktop the wall area minus sideboard height gives around 640px for the lamp (roughly 246px wide), which feels right for the scene. For mobile, since the header overlays the top of the wall, I'm subtracting that space too, landing on a lamp height around 600px and width near 230px to avoid clashing with the header text. 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