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Canopy Part TitleLeaves sweep through the frame and part to reveal the headline. Idea only: The repo's CREDITS.md says the origin of its two leaf textures…three.js · Link onlyA titleCode 3D ExtrudeSyntax-highlighted code on a lit, beveled 3D slab that rotates through real space and settles to a readable rest — true WebGL depth and…three.js · Apache-2.0Code on screenCode Particle AssembleThousands of GPU points scatter through space and fly to the exact glyph pixels of the code, resolving into readable syntax-highlighted…three.js · Apache-2.0Code on screenCode Shader DissolveThe code compiles into existence: a GPU fragment shader resolves it out of seeded noise with a chromatic dissolve front and edge glow, then…three.js · Apache-2.0Code on screenCuboid CarouselA chain of bevelled cuboids rides a traveling wave as a content carousel.three.js · Apache-2.0A picture layoutExploded StackIsometric layer plates explode apart with a label beside each layer, hold, then collapse back into one stack. Built for architecture and…three.js · Apache-2.0A map or a diagramFrost Sequence Camera OrbitAn orbiting camera follows an ice logo as it breaks apart, reforms into two text moments, and fades. Idea only: The repo's CREDITS.md says…three.js · Link onlyA logo revealGallery TunnelAn infinite corridor of panels: a square tunnel receding to a vanishing point, its floor, ceiling and walls tiled with saturated color…three.js · Apache-2.0A background that movesGlass HeroA solid glass object rises in front of a giant headline and keeps turning, so the type bends and splits into color through it.three.js · Apache-2.0A titleGlass Shard TitleGlass shards fly in through fog and tile themselves into the headline. Idea only: The repo's CREDITS.md says the origin of its matcap image…three.js · Link onlyA titleiOS 26 Liquid Glass Home Screen3D iPhone with a normal iOS 26 home screen, liquid glass app icons, shader wallpaper, dock, and fluid glass notifications that drop from…three.js · Apache-2.03DLiquid Glass NotificationFrosted glass notification cards floating over an aurora shader background. The repo marks it experimental.three.js · Apache-2.0A whole sceneLiquid Glass WidgetsFrosted glass stat cards, showcase panel and pill chips over an aurora shader background. The repo marks it experimental.three.js · Apache-2.0A whole scenemacOS Tahoe Liquid Glass Desktop3D MacBook with a macOS Tahoe-style desktop, glass menu bar, Finder window, dock, and cinematic device camera move. The repo marks it…three.js · Apache-2.03DOrbit CardA single feature card orbits a dot sphere on approved Blender camera motion.three.js · Apache-2.03DProduct TurntableA product turns a full revolution on a studio plinth in a seamless loop. Drop in a GLB or glTF model, or keep the built-in drink can with…three.js · Apache-2.03DSpiral GalaxyA spiral galaxy seen from outside, turning with real differential rotation: inner stars orbit faster than outer ones, so the arms wind up…three.js · Apache-2.0A background that movesiPhone & MacBook 3D ShowcaseReal GLTF iPhone 15 Pro Max and MacBook Pro models with live HTML-in-Canvas screen content, morphing glass lens, product review camera…three.js · Apache-2.03DLiquid BackgroundOrganic liquid simulation with vertex displacement on a subdivided plane. HTML content floats above rippling fluid surface with real-time…three.js · Apache-2.0A background that movesLiquid GlassA sample landing page (headline and stat cards) seen through a liquid-glass parallax layer, drawn with HTML-in-canvas and WebGL. The repo…three.js · Apache-2.0PortalA sample light-mode page opens through a portal into a second page: an HTML-in-canvas WebGL transition. The repo marks it experimental.three.js · Apache-2.0ShatterA sample page breaks like glass to show the page behind it: HTML-in-canvas panels shattered in WebGL. The repo marks it experimental.three.js · Apache-2.0Wireframe Portal TitleA wireframe portal bursts open, the title comes through, then its letters swap into a second phrase.three.js · Apache-2.0A titleThree Orbiting CardsA Three.js-powered orbit scene driven by a paused GSAP timeline for deterministic renders. Paste-in snippet: it registers no timeline, you…three.js · Apache-2.03DPath-Traced 3DA three.js scene with a fast raster preview and an opt-in path-traced export, with three-gpu-pathtracer vendored beside it. In the examples…three.js · Apache-2.03Dthreejs-animationthree.js animation: keyframes, skeletons, morph targets, mixing.three.js · Link only3Dthreejs-fundamentalsthree.js basics: scene, cameras, renderer, object hierarchy, coordinates.three.js · Link only3Dthreejs-geometrythree.js geometry: built-in shapes, buffer geometry, custom shapes, instancing.three.js · Link only3Dthreejs-interactionthree.js interaction: raycasting, controls, pointer input, selection.three.js · Link only3Dthreejs-lightingthree.js lighting: light types, shadows, environment lighting.three.js · Link only3Dthreejs-loadersthree.js asset loading: glTF, textures, HDR environments, async patterns.three.js · Link only3Dthreejs-materialsthree.js materials: PBR, basic, shader materials and their properties.three.js · Link only3Dthreejs-postprocessingthree.js post-processing: bloom, depth of field, screen effects.three.js · Link onlythreejs-shadersthree.js shaders: GLSL, uniforms, custom effects.three.js · Link onlythreejs-texturesthree.js textures: types, UV mapping, environment maps, settings.three.js · Link only3Dthreejs-world-generationBuilding editable three.js worlds you can fly a camera through, from text or a structured brief.three.js · Link only3DFlatPanelA flat textured panel with a contact shadow for real 3D page shots.three.js · Apache-2.03Dhero3d (3D hero object)A three.js layer on the same clock for one physical hero: a logo extruded from SVG paths, extruded text, a coin, a glass slab, a phone or a…three.js · Apache-2.03Dthree.js r186 and addons (bundled)The three.js module build and stock example add-ons (loaders, post-processing passes, RoundedBox and Text geometry), edited only to import…three.js · Apache-2.03Dopentype.js 1.3.4 (bundled)Font parser used to extrude 3D text. MIT (Frederik De Bleser and contributors); bundles tiny-inflate and a codePointAt polyfill, both MIT.three.js · Apache-2.03Dthreejs-game-directorThe entry skill: sets how far to take a three.js browser game from the user's own words (a small arcade game is not a request for the…three.js · MITA plan or a scriptthreejs-gameplay-systemsHow to make a playable loop: a one-page design brief, a core-loop contract proved in code, a level plan, then small ownership folders…three.js · MIT3Dthreejs-game-ui-designerHow to design a game's HUD, menus and touch controls as game interface, not a web dashboard: hierarchy (status, objective, feedback…three.js · MITA picture layoutthreejs-debug-profilerHow to find why a three.js page is blank, broken or slow: reproduce first, then an ordered checklist for blank canvases (canvas size, WebGL…three.js · MITA check on the resultthreejs-qa-releaseHow to prove a three.js game works the way a player meets it: build, open in a real browser, check console errors and non-blank canvas…three.js · MITA check on the resultthreejs-3d-generatorDrives the paid Tripo API to make 3D models for a three.js project: text to 3D, image to 3D, texturing, auto-rigging, animation…three.js · MIT3Dthreejs-image-generatorDrives Google's Gemini image API to make the 2D layer of a 3D project: concept sheets, clean reference images for image-to-3D, texture…three.js · MITPictures and footagethreejs-audio-generatorDrives the paid ElevenLabs API for game sound: short sound effects, looping ambience, music tracks, spoken lines, voice conversion from a…three.js · MITSound you can seeRenderer and environment map setupFive lines that give a scene studio reflections with no HDR file: sRGB output, ACES tone mapping, and a RoomEnvironment baked once through…three.js · MIT3DPainted metal materialClearcoat over a colored base, for a car body or a hull panel. One line of three.js; assumes the environment map setup.three.js · MIT3DBare brushed metal materialRaw steel that needs the environment map to read as metal. One line of three.js; assumes the environment map setup.three.js · MIT3DRubber materialNear-black, almost no reflection, for tyres and grips. One line of three.js; assumes the environment map setup.three.js · MIT3DMatte plastic materialMid roughness with a muted reflection, for housings and crates. One line of three.js; assumes the environment map setup.three.js · MIT3DGlossy ceramic materialA sharp wet-look reflection with full clearcoat. In our trial the white version bloomed as hard as the emissive ball under a bright light…three.js · MIT3DEmissive signal materialA dark base with a glow strong enough to feed bloom, for beacons, status lights and pickup cores. One line of three.js; assumes the…three.js · MIT3DCloth materialHigh roughness plus sheen for the soft edge highlight of fabric. One line of three.js; assumes the environment map setup.three.js · MIT3DReal refractive glass materialTrue transmission for one or two hero surfaces seen close. Costly: every transmissive material adds a whole extra scene render each frame…three.js · MIT3DCheap fake glass materialTransparent clearcoat with no extra render pass, for repeated windows, visors and shields. One line of three.js; assumes the environment…three.js · MIT3DFresnel rim glowAdds a colored glow at the grazing edges of a standard material by injecting three lines of GLSL with onBeforeCompile, so the lit material…three.js · MITScrolling emissive panelsBands of light that travel along a surface, for energy conduits, charge bars and data flowing through a pipe. Time is one uniform (uTime)…three.js · MITWind swaySways grass cards, flags or cables in the vertex shader, anchored at the base, with each instance of an InstancedMesh out of phase by its…three.js · MITA camera moveDissolve and spawnMakes an object appear or vanish in small blocks with a glowing edge. One uniform, uProgress from 0 to 1, is the whole state, which makes…three.js · MITA cut between two picturesGradient sky domeA back-facing sphere with a small shader: a top color, a horizon color, a sun disc and its halo. One draw call and no textures, for any…three.js · MITA background that movesPost-processing chainThe finishing pass: EffectComposer with a render pass, bloom (strength 0.45, radius 0.3, threshold 0.85), a small vignette shader, and…three.js · MITVertex-colour ambient occlusionDarkens creases by baking a color attribute into the mesh: contact shading with no texture and no extra draw call.three.js · MIT3DPolygon-offset decalsA flat mesh laid on a surface with polygonOffset so it does not flicker: panel lines, numbers and marks.three.js · MIT3DFake contact shadowA flat plane with a radial-gradient canvas texture under an object: grounds a floating thing with one draw call and no shadow map.three.js · MIT3DEmissive level-of-detail signalsRaise emissiveIntensity or swap material by distance so far lights still read; keep the color the same so identity survives.three.js · MIT3DMatcap propsMeshMatcapMaterial bakes lighting into one texture: the cheapest lit-looking material for background props. It ignores scene lights.three.js · MIT3DTweenManager and three easingsA 40-line tween runner with easeInQuad, easeOutCubic and easeOutBack (the one that overshoots), advanced by a delta you pass in. No…three.js · MITA camera moveTrauma-based screenshakeCamera shake where shake equals trauma squared, trauma decays 1.4 per second and is capped at 1, and the noise comes from accumulated time…three.js · MITA camera moveHitstopA 60 to 90 ms near-freeze on a heavy hit: scale the gameplay delta to 0.05 while the camera and feedback keep real time. In a video it is…three.js · MITSquash and stretchDeform on impact and bounce back with easeOutBack, keeping volume: when one axis scales by s the other two scale by 1 / sqrt(s). About 0.9…three.js · MITA camera moveCamera kick and FOV punchAdd 4 to 8 degrees of field of view on a boost or a hit and let it decay with a 0.2 s time constant; remember updateProjectionMatrix()…three.js · MITA camera moveImpact flashPulse a material's emissiveIntensity to a peak and tween it back in 0.22 s; for big events add a one-frame white overlay div fading over…three.js · MITPickup popA collected thing scales up to 1.6, rises and fades over 0.28 s, with a 120 ms scale punch on its counter. A good recipe for a number or an…three.js · MITA camera moveGamepad rumbleFeature-detected controller vibration with a swallowed promise. Interactive use only; nothing to render. Code is in the reference page…three.js · MITAudio pitch variance and duckingVary each playback's pitch by plus or minus 6 percent from a seeded generator so repeats do not sound machine-made, and duck the bed under…three.js · MITSound you can seeRapier setup with a fixed timestepHow to add real physics to a three.js scene: Rapier's world, a 1/60 s fixed step fed by a clamped accumulator, bodies and colliders…three.js · MIT3DLoop.tsA 30-line animation loop: requestAnimationFrame, delta in seconds capped at 0.05, update then render. It reads the browser's clock; to…three.js · MITEdit, render, publishRenderer.tscreateRenderer (antialias, sRGB output, ACES tone mapping at 1.05 exposure, PCF shadows) and resizeRenderer, which keeps canvas size, pixel…three.js · MITEdit, render, publishCameraRig.tsA follow camera at a fixed offset that eases toward its target with an exponential lag (1 - exp(-dt / lag)) and looks slightly ahead of it…three.js · MITA camera moverandom.ts (seeded random)mulberry32 in nine lines: createSeededRandom(seed) returns a function that gives the same sequence every time. The thing to use in place of…three.js · MITEdit, render, publishdispose.tsdisposeObject3D walks a three.js object and frees its geometries, materials and every texture on them. Use it when a scene is torn down so…three.js · MITEdit, render, publishInputController.tsKeyboard (WASD and arrows, Space or Shift to dash) and a touch stick merged into one movement vector, with pointer-cancel handling so a…three.js · MIT3DAudioSystem.tsA Web Audio context unlocked on the first key or pointer press, and one synthesised pickup blip (a triangle wave swept up over 0.12 s)…three.js · MITSound you can seeGameAudio manager shapeA 25-line Web Audio manager: unlock on a gesture, load and decode buffers by id, play through named gain groups (master, sfx, ui, ambience…three.js · MITSound you can see3dviz-pro-maxOne agent skill for making 3D scenes and explainers in three.js, with Blender as an optional helper. A ten-step workflow (intent, reason…three.js · MIT3DArm in MotionA registered bone-and-muscle elbow study with an approximate hinge and opposing biceps/triceps shape changes. Example study (anatomy and…three.js · MIT3DInside the BrainA registered-anatomy inspection of selected cortical gyri, white matter, cerebellum, and brainstem components. Example study (anatomy and…three.js · MIT3DBreath by BreathA registered lung-lobe study with an authored thoracic expansion field, schematic diaphragm, and directional airway cues. Example study…three.js · MIT3DThe Living HeartA registered-anatomy heart study with an anterior cutaway, selected vessels and valves, and an authored cardiac-cycle pose. Example study…three.js · MIT3DThe Moving KneeA registered bone assembly for resting, exploded, and approximate hinge inspection of the knee. Example study (anatomy and physiology): a…three.js · MIT3DUpper-body Muscle AtlasA source-registered inspection atlas for selected upper-body muscle portions and their skeletal framework. Example study (anatomy and…three.js · MIT3DCoopered barrel kitA coopered oak barrel with bulged staves, four iron hoops and a three-plank head, parameterised by height, radius, stave count, bulge and…three.js · MIT3DBiped walker kitA hatted village figure - tapering torso, belted tunic, two-joint legs and arms - with a procedural walk cycle whose arms counter-swing the…three.js · MIT3DTwo-wheeled farm cart kitA two-wheeled farm cart with eight-spoke wheels, a planked bed, side stanchions and draught shafts, with an animate(dt) that rolls the…three.js · MIT3DPegged clothesline kitTwo braced poles carrying a sagging line of pegged washing, each sheet at its own width, drop, yaw and lean, parameterised by span, height…three.js · MIT3DNailed shipping crate kitA nailed shipping crate of horizontal planks between four corner posts, with a diagonal brace and a battened lid, parameterised by size…three.js · MIT3DPaddock fence run kitA paddock fence of instanced posts carrying three sagging rail courses, parameterised by length_m, post count, height, sag and seed. A…three.js · MIT3DIron post lantern (blender gltf) kitA Blender-authored wrought iron post lantern exported as a 136 KB GLB: post on a stepped base, brass collars, hook arm with a diagonal…three.js · MIT3DWrought iron lantern post kitA wrought iron lantern post: stepped base flare, a tapering collared shaft, a scrolled bracket and a glazed head whose panes are emissive…three.js · MIT3DFive-bay timber long hall kitA five-bay timber long hall with two doors, a covered porch, a hanging sign and a chimney at each end of the ridge, parameterised by width…three.js · MIT3DTrestle market stall kitA trestle market stall with a striped canopy that sags between its posts, a scalloped valance, a plank counter on trestles, crates, sacks…three.js · MIT3DQuadruped walker kitA four-legged village animal - barrel body, arched neck, horned head, three-segment legs and a tail - with a procedural diagonal-pair walk…three.js · MIT3DInstanced water reeds kitA clump of instanced reed blades on a faceted tussock, with seed heads carried on the blade tips and an animate(dt) that bends every blade…three.js · MIT3DGlacial rock cluster kitA scatter of part-buried boulders built from five facet-jittered shapes and a pebble ring, parameterised by count, spread and seed, with an…three.js · MIT3DBattered round stone tower kitA battered round stone tower with a corbelled crenellated crown, a conical cap and banner, arrow slits spiralling up the shaft, and an…three.js · MIT3DHanging signboard kitA hanging tavern sign: stepped stone foot, timber post, a scrolled iron bracket and a bevelled board with a raised border and a carved boss…three.js · MIT3DSegmental-arch stone bridge kitA single segmental-arch stone bridge with a voussoir ring and raised keystone, coursed spandrels, four cutwaters, a cobbled deck and a…three.js · MIT3DStone guildhall (blender gltf) kitA Blender-authored stone guildhall exported as a 661 KB GLB: plinth, string course, capped chimney, a twelve-course tiled gable roof…three.js · MIT3DTimber-framed cottage kitA two-bay timber-framed cottage with a tiled gable roof, inset windows and a chimney socket, parameterised by width, depth, storeys, roof…three.js · MIT3DConifer with countable boughs kitA conifer with a flared root collar, a leaning tapered bole and eight whorls, each a skirt with nine boughs poking past it, with sway(dt)…three.js · MIT3DRound-crowned broadleaf tree kitA broadleaf tree with a flared root collar, a four-segment leaning trunk, four branches and a crown of seven overlapping canopy lobes, with…three.js · MIT3DWatermill with a turning wheel kitA two-storey stone-and-timber mill with an overshot wheel on a wheel socket, a launder feeding it, a first-floor loading door under a hoist…three.js · MIT3DStone draw-well kitA stone draw-well: three courses of dressed blocks under a coping ring, two posts, a shingled gable roof, a cranked windlass with coiled…three.js · MIT3Dtimber-cottage-t3 (baked hero GLB)The T3 hero: the cottage module's own geometry, baked in Blender. A 1.8 to 1.9 MB GLB: bevelled edges, one UV atlas, baked color, occlusion…three.js · MIT3Dwatermill-t3 (baked hero GLB)The T3 hero: the watermill module's own geometry, baked in Blender. A 1.8 to 1.9 MB GLB: bevelled edges, one UV atlas, baked color…three.js · MIT3Dbevelled-box primitiveThe base solid of every kit: a chamfered block that can carry edge wear. A building part used inside the building kits; it has no catalog…three.js · MIT3Dchimney primitiveA brick stack with corbelled courses, a stone cap and a clay pot. A building part used inside the building kits; it has no catalog record…three.js · MIT3Ddoor-with-step primitiveA plank door recessed in its opening, with iron straps, a ring handle, a stone threshold and a step that breaks the wall plane at the…three.js · MIT3Dinset-window primitiveA window recessed behind the wall face: reveal, frame, glazing bars, emissive glass, sill board and its drip groove. A building part used…three.js · MIT3Drailing primitiveA run of railing in two builds: turned balusters, or a solid parapet with coping. A building part used inside the building kits; it has no…three.js · MIT3Droof-tile-strip primitiveOne roof slope as lapped tile courses in a single InstancedMesh. A building part used inside the building kits; it has no catalog record or…three.js · MIT3Dsign primitiveA hanging trade sign: wrought bracket, eye hooks, a framed board and a painted field. A building part used inside the building kits; it has…three.js · MIT3Dstairs primitiveA straight flight: treads, real risers, a raking stringer and worn nosings. A building part used inside the building kits; it has no…three.js · MIT3Dtimber-frame primitiveExposed half-timber framing that stands proud of a wall face. A building part used inside the building kits; it has no catalog record or…three.js · MIT3Dvillage-layout.jsPlans a village from a seed: lanes, building plots that face the nearest lane without overlapping, and scatter zones for the gaps. The same…three.js · MITA picture layoutkit-core.jsThe shared helpers every kit module imports: a material cache, a seeded random generator, a bevelled box, an inset panel, a wall with real…three.js · MIT3Dkit-lod.jsPuts several quality tiers of one object into a single THREE.LOD with switch distances in meters and a hysteresis fraction so a slow orbit…three.js · MITEdit, render, publishkit-surface.js (procedural surface, tier T2)Gives a flat-colored kit a drawn surface with no image files: seeded albedo, normal and roughness canvases for seven families (wood…three.js · MIT3Dkit-walk.js (gait maths)Three pure helpers behind the two walkers: twoBoneIk, footCycle and routeStep. The walk advances by distance traveled over stride length…three.js · MIT3Dcamera-orbit-follow.jsOrbit camera with damping, named views, a 0.9 s focus tween and a follow mode that yields when the user takes over. rig.update(dt) returns…three.js · MITA camera movelighting-sun.jsOutdoor key, fill and rim. The defaults are dusk golden hour (a warm sun 6 degrees above the horizon, key to fill about 6 to 1); an…three.js · MIT3Dlighting-night-lantern.jsNight made of falloff: a weak blue moon, a dim hemisphere fill and up to twelve warm lantern point lights with physical decay (60 cd at 2.4…three.js · MIT3Dlighting-studio.jsA dark product studio: RoomEnvironment at low intensity plus three RectAreaLight panels (key, fill, rim, about 3 to 1) and one contact…three.js · MIT3Dpost-stack.jsBloom, vignette and optional depth of field through the pmndrs postprocessing package, with a careful note on tone mapping: the stack takes…three.js · MITAccessible route clearances and turning spacePlace a cited turning space in a room and, separately, sweep a conservative clearance envelope, keeping the two reports distinct instead of…three.js · MITA whole sceneAgent Harness execution mapExplain an authored agent loop with explicit tool and observation boundaries. A written recipe (abstract-systems-data; authored): the parts…three.js · MIT3DGuided vehicle traffic with zone reservationGive vehicles a reservation rule that they must obtain before entering shared space, so traffic behavior has an inspectable cause. A…three.js · MIT3DReachable workspace and singular configurationsMap where an arm can reach and mark the configurations where it loses a direction of motion. A written recipe (robotics-control; sourced)…three.js · MIT3DAutonomous planar phase portrait with time liftCompare phase trajectories, vector directions and a time-lifted solution for a bounded family of planar autonomous systems. A written…three.js · MIT3DBicycle drivetrain and gear ratioConnect chainring and sprocket sizes to wheel rotation through a chain that shares one linear speed. A written recipe (products-assemblies…three.js · MIT3DWide turns and inner slices on larger cubesModel a larger cube where a move addresses a contiguous range of layers and center pieces carry individual identity even when they look…three.js · MIT3DBinary heap, sift operations and heapsortShow one structure in two views at once: the array indices that own the data and the tree that explains the ordering. A written recipe…three.js · MIT3DBinomial outcomes and repeated trialsConnect independent binary trial paths to exact probabilities and observed counts. A written recipe (probability-statistics; part sourced…three.js · MIT3DBit-vector SMT: model, wraparound and proof boundaryKeep width, modular arithmetic, signed interpretation and solver evidence explicit. A written recipe (logic-circuits; part sourced, part…three.js · MIT3DBounded maintenance procedure state playbackPlay a supplied acyclic maintenance procedure through tasks and exclusive decisions with evidence-gated completion, while keeping planned…three.js · MIT3DBrachial plexus nerve routingFollow named nerve branches from the typical C5 to T1 roots through trunks, divisions and cords into the arm as an explicit route graph…three.js · MIT3DBreadth-first search and shortest edge countsExpose discovery order, the FIFO queue and shortest paths on a small unweighted graph. A written recipe (algorithms-data-structures; part…three.js · MIT3DSimply supported bridge load-path beam modelCompute reactions and one section response for declared point loads on a simply supported beam without presenting the result as structural…three.js · MIT3DBuild dependency graph and topological orderShow a build plan as a directed graph whose valid orders come from its structure, and make a cycle a reported failure. A written recipe…three.js · MIT3DBuilding service layer coordinationInspect invented building services with layer toggles and explicit geometric clash markers. A written recipe (architecture-interiors…three.js · MITA whole sceneBuoyancy and floating equilibriumMake the displaced volume an explicit object so flotation becomes a balance the viewer can watch settle. A written recipe…three.js · MIT3DInterlocking burr and its disassembly orderDesign an interlocking puzzle whose only freedom at each step is a short list of legal slides, and expose that list. A written recipe…three.js · MIT3DClassical Starling capillary exchange diagramBuild the classical two-pressure Starling teaching diagram and mark on the same scene where the revised steady-state view disagrees with…three.js · MIT3DCardiac cycle phases and valve statesDrive valve states from an explicit phase model so opening and closing follow declared pressure comparisons rather than animation timing. A…three.js · MIT3DCF ocean-current grid particle playbackAdvect educational tracers over a supplied small regular rectilinear CF lon/lat current grid using one declared frozen local east/north…three.js · MIT3DPrecomputed flow field playbackPlay back a computed flow field as data with provenance, and refuse to let the viewer treat playback as live simulation. A written recipe…three.js · MIT3DChirality and non-superimposable mirror imagesLet a viewer attempt to superimpose two mirror-image molecules and fail for a structural reason they can inspect. A written recipe…three.js · MIT3DCityGML stable-ID scenario differencerCompare a finite set of supplied CityGML-derived urban alternatives by stable feature identity, CRS, epoch and declared attribute/geometry…three.js · MITA whole sceneCar-following waves on a closed single laneSimulate continuous car-following on a periodic lane and connect every vehicle's motion to its bumper gap, approaching rate and declared…three.js · MIT3DElastic and inelastic collisions in spaceCompare momentum and kinetic energy across a one-dimensional central collision so that what is conserved and what is not becomes…three.js · MIT3DCommutators and conjugates as piece toolsBuild move sequences that touch few pieces and show why the algebraic form produces that effect. A written recipe (twisty-puzzles…three.js · MIT3DDouble-cone section explorerRelate a movable plane to its intersection with a double cone. A written recipe (solid-geometry; sourced): the parts to model, the one…three.js · MIT3DConstruction task dependency and building playbackLink supplied construction tasks, times and finish-start dependencies to stable building-element identities, then scrub the resulting…three.js · MITA whole sceneConvex hull of a point cloudBuild the hull of an editable point set and keep its degenerate outcomes visible instead of hiding them. A written recipe (solid-geometry…three.js · MIT3DCoupled gear kinematicsDrive meshing gears from a shared angular constraint with inspectable pitch circles. A written recipe (rigid-mechanics; sourced): the parts…three.js · MIT3DCourtyard house cutawayReveal a fictional courtyard dwelling while keeping room boundaries and levels legible. A written recipe (architecture-interiors…three.js · MITA whole sceneCovariance ellipsoid and principal axesShow a point cloud together with the ellipsoid built from its covariance, keeping sample estimate and population parameter distinct. A…three.js · MIT3DCP and Tucker tensor component reconstructionReconstruct a small explicit third-order tensor from supplied CP factors or a Tucker core and factors, linking component terms, slices and…three.js · MIT3DCritical path and combinational delayMake timing a property of paths through a circuit, with the longest path selected by summation rather than by appearance. A written recipe…three.js · MIT3DCross product orientation and areaLink ordered vectors, their normal and spanned parallelogram. A written recipe (linear-algebra; sourced): the parts to model, the one state…three.js · MIT3DTLS 1.3 message state: bounded server-authenticated handshakeTeach a bounded TLS 1.3 message order with public metadata and explicit external-verification gates. A written recipe…three.js · MIT3DReachable cube states and their invariantsLet a viewer build an impossible cube on purpose and have the model name which invariant is broken. A written recipe (twisty-puzzles…three.js · MIT3DCubic unit-cell atom accountingExpose shared atom fractions across repeated cubic cells. A written recipe (molecules-materials; sourced): the parts to model, the one…three.js · MIT3DCurl and circulation around a loopCompare a local curl component with circulation per unit area, distinguishing the finite-disk average from its shrinking-disk limit. A…three.js · MIT3DMagnetic field of a current loopBuild a field around a real conductor path and keep the on-axis analytic result distinct from off-axis numerical sampling. A written recipe…three.js · MIT3DDaylight and shading study over a dayDrive shadows from a documented solar position algorithm and keep the difference between geometry and photometry explicit. A written recipe…three.js · MITA whole sceneDelaunay tetrahedra and the empty sphere propertyPartition space around a point set and let the defining empty-sphere condition be tested rather than assumed. A written recipe…three.js · MIT3DDental bite and moving-hinge illustrationIllustrate a supplied mandible pose sequence against a fixed skull while making translation and the limited meaning of a hinge axis…three.js · MIT3DDeposited protein binding-site inspectionInspect a ligand and nearby residues from a supplied authoritative deposited structure while preserving atom, assembly and model metadata…three.js · MIT3DDeterminant and parallelepiped volumeCompare signed determinant with nonnegative geometric volume. A written recipe (linear-algebra; sourced): the parts to model, the one state…three.js · MIT3DDICOM registration landmark residual inspectorApply a supplied DICOM Spatial Registration matrix chain between original Frame-of-Reference UIDs and show illustrative paired-landmark…three.js · MIT3DDifferential-drive command and odometry viewDistinguish requested motion, applied wheel motion and estimated pose in a teaching mobile robot. A written recipe (robotics-control…three.js · MIT3DDijkstra distances and edge relaxationCompare tentative distances with settled shortest distances while stepping edge relaxations. A written recipe (algorithms-data-structures…three.js · MIT3DDirect-manipulation cube turnsTranslate face gestures into legal discrete moves while separating camera orbit. A written recipe (twisty-puzzles; sourced): the parts to…three.js · MIT3DDirectional derivative on a quadratic surfaceRotate a direction on a height field and compare the measured slope with the gradient dot product. A written recipe (calculus-fields; part…three.js · MIT3DDivergence and outward flux through a boxCompare face-by-face flux with the volume integral of divergence for a linear field. A written recipe (calculus-fields; part sourced, part…three.js · MIT3DDivergent ridge and crust-age bandsExpose the distinction between prescribed plate separation, newly formed crust and a computed geodynamic solution. A written recipe…three.js · MIT3DSigned double integral as a column sumPartition a rectangular domain into signed columns and compare numerical quadrature with an analytic integral. A written recipe…three.js · MIT3DAxial tilt and seasonal sunlightCompare seasonal illumination on a tilted globe without confusing orbital distance with the cause of seasons. A written recipe…three.js · MIT3DEclipse shadow cones and node alignmentBuild the shadow as real cones between finite bodies so partial, total and annular conditions follow from which cone contains the observer…three.js · MIT3DEigenvectors as invariant directionsSweep a direction through space and stop where the mapped vector stays on its own line, with the scale factor read from the same event. A…three.js · MIT3DEmbedding projection inspectorExplore a projection while retaining access to original vector relationships. A written recipe (abstract-systems-data; sourced): the parts…three.js · MIT3DEnhanced DICOM acquisition-frame inspectorInspect a supplied Enhanced CT object through shared/per-frame functional groups and dimension-index presentation while preserving original…three.js · MIT3DExact cover packing with a real searchKeep the search honest: a packing scene either runs a real backtracking search or replays a recorded one, and says which. A written recipe…three.js · MIT3DExpression rig with attention and gazeGive a character a small, well-chosen set of expression controls and let attention drive where those controls are aimed. A written recipe…three.js · MIT3DFantasy village dioramaCompose a small invented settlement around a memorable landmark, readable paths, and contrasting building silhouettes. A written recipe…three.js · MITA whole sceneFinite-window FFT spectrum and inverse reconstructionCompare one finite sampled signal under rectangular and tapered windows, reconstruct the exact windowed samples by inverse DFT, and…three.js · MIT3DFinite egress-network capacity playbackMove a finite supplied occupant count through a directed route network with integer travel steps, per-step arc capacities and a declared…three.js · MITA whole sceneClocked finite-state machine explorerSeparate present state, next state and committed clock transitions. A written recipe (logic-circuits; sourced): the parts to model, the one…three.js · MIT3DBounded Fisher reaction-diffusion frontSimulate the one-dimensional Fisher equation on a finite interval with a declared zero-flux stencil and conservative explicit-step…three.js · MIT3DFlat-pack furniture assembly sequenceTurn an assembly into an ordered, checkable sequence where each step consumes real parts from a visible inventory. A written recipe…three.js · MIT3DFolding desk lamp articulationExplore a designed lamp by moving its hinges within a declared motion envelope. A written recipe (products-assemblies; authored): the parts…three.js · MIT3DForced damped rectangular-room modal responseDrive a finite set of analytic rectangular-room modes with declared modal mass, damping and coupling rather than inferring loss from wall…three.js · MIT3DFourier harmonic synthesis with complex phasorsConnect a finite bank of odd harmonics to a square-wave approximation and expose truncation near jumps. A written recipe…three.js · MIT3DOne-bit full adderConnect sum and carry outputs to all three input bits. A written recipe (logic-circuits; sourced): the parts to model, the one state that…three.js · MIT3DGarden creature route and gaitMake a small fictional quadruped travel a route with readable foot placement and stopping. A written recipe (characters-motion-art…three.js · MIT3DXPBD soft-body boundary fixtureExercise one compliant particle mesh with pinned boundaries, explicit timestep/substeps/iterations and residuals rather than treating…three.js · MIT3DReversible guided layer-method tutorialTurn a declared beginner layer sequence into inspectable goal predicates, legal move demonstrations, learner commits, hints and exact…three.js · MIT3DGyroscopic precession and angular momentumShow a torque changing the direction of angular momentum rather than speeding the spin, and keep the fast-spin assumption visible. A…three.js · MIT3DTowers of Hanoi and its optimal move boundLet a viewer play the puzzle while the known minimum move count stays visible as a target rather than a decoration. A written recipe…three.js · MIT3DHeart chamber cutawayReveal four chambers without confusing presentation layers with tissue motion. A written recipe (anatomy-structures; sourced): the parts to…three.js · MIT3DHeat diffusion along a rod with fixed end temperaturesWatch an exact temperature mode decay while the rod itself stays geometrically fixed. A written recipe (soft-fluid-thermal; part sourced…three.js · MIT3DHepatic portal blood routeShow a named venous route that passes through two capillary beds before rejoining the systemic return. A written recipe…three.js · MIT3DCritical points and the second derivative testClassify stationary points on a surface from the discriminant, and show the inconclusive case as a real outcome. A written recipe…three.js · MIT3DHistorical diorama with evidence layersOrganize a site reconstruction so documented remains and interpretive additions can be inspected separately. A written recipe…three.js · MITA whole sceneHydrostatic pressure at equal depthCompare pressure probes at the same depth in differently shaped stationary containers. A written recipe (soft-fluid-thermal; part sourced…three.js · MIT3DImported 3×3 state and solver-result verificationParse an imported 3×3 state independently of local move history, validate inventory and reachability, call a versioned solver adapter, then…three.js · MIT3DTwo-slit interference and single-slit diffractionKeep slit separation and slit width as separate controls so the fringe pattern and its envelope have separate causes. A written recipe…three.js · MIT3DInverse-kinematics target and residualMake numerical target solving visible, including residuals and non-convergence. A written recipe (robotics-control; sourced): the parts to…three.js · MIT3DFinite irrigation scenario-envelope comparisonRun the existing bounded root-zone budget over a finite supplied set of provenance-labeled scenarios under one shared forcing schedule…three.js · MIT3DP and S plane waves in an isotropic elastic solidCompare homogeneous isotropic P and S plane waves through particle displacement, propagation direction and modulus-dependent speed in a…three.js · MIT3DJob shop schedule and solver boundaryPlay back a schedule that a solver produced, and keep the boundary between solving and animating visible. A written recipe…three.js · MIT3DPID joint control with saturationShow a controller responding to error, and let integral action and torque limits change the outcome visibly. A written recipe…three.js · MIT3DPath, time scaling and joint limitsSeparate the geometric path from the schedule along it, so speed limits change timing without changing the path. A written recipe…three.js · MIT3DKarst cave network with vertical connectivityCompose an underground world where the interesting decisions are vertical: which chamber connects to which, and by what route. A written…three.js · MITA whole sceneKepler ellipse with equal-time swept areasAdvance a body nonuniformly around an ellipse and compare sectors swept in equal time intervals. A written recipe (astronomy-space; part…three.js · MIT3DKinetic typography stage with readable alternativesAnimate authored words and phrases in 3D while preserving reading order, pause control, captions and a static text representation. A…three.js · MIT3DKMP pattern DFA: prefix recovery on mismatchDerive transition behavior from a concrete pattern and explain why a mismatch can preserve a partial match. A written recipe…three.js · MIT3DKnee structures with layer peelInspect the joint interior through reversible layer visibility. A written recipe (anatomy-structures; sourced): the parts to model, the one…three.js · MIT3DLantern keeper puppet performanceStage a readable miniature greeting with distinct anticipation, gesture and settle poses. A written recipe (characters-motion-art…three.js · MIT3DLayered atmosphere absorption-only chordIntegrate a fixed straight chord through concentric piecewise-homogeneous absorbing shells and accumulate optical depth with Beer–Lambert…three.js · MIT3DFlat layered attenuating seismic raysTrace one declared P or S geometric ray through flat constant-velocity layers while keeping travel time, interface refraction and…three.js · MIT3DLayered maze route puzzleNavigate a designed stacked maze while retaining an exact cell-and-link path history. A written recipe (spatial-puzzles; authored): the…three.js · MIT3DLinear transformation in three dimensionsConnect a real 3 by 3 matrix to transformed basis arrows, vectors, and a reference shape using one shared mapping. A written recipe…three.js · MIT3DLoading dock resource schedulingShow contention for invented dock resources with inspectable event timing. A written recipe (operations-logistics; authored): the parts to…three.js · MIT3DBoolean gate workbenchMake a combinational circuit explain its output for each input combination. A written recipe (logic-circuits; sourced): the parts to model…three.js · MIT3DMandelbrot escape-time map and iteration orbitClassify sampled parameters by detected escape and show unresolved finite-budget samples honestly. A written recipe (calculus-fields…three.js · MIT3DGeographic and projected coordinate framesShow the globe and its projected plane at once so distortion becomes something measured rather than described. A written recipe…three.js · MIT3DMarkov chain distribution and convergenceSeparate a single random walker from the distribution over states, and compare convergence or oscillation under a declared transition…three.js · MIT3DMass-spring cloth and its solver contractTreat cloth as a solver with declared parameters: what is integrated, at what step, and what makes it explode. A written recipe…three.js · MIT3DMemory allocation: one first-fit fragmentation traceReplay one address-ordered heap so allocation failure, internal waste and external holes remain distinct. A written recipe…three.js · MIT3DManifoldness, orientation and mesh validityMake mesh validity inspectable: combinatorial manifoldness, consistent orientation and geometric self-intersection are three different…three.js · MIT3DMinkowski sum and clearance envelopesTurn a clearance question into a solid: grow an obstacle by a moving part so the answer becomes a containment test. A written recipe…three.js · MIT3DA local orientation around a Moebius bandFollow a local frame around a half-twisted ribbon and inspect the reversed seam identification. A written recipe (topology-symmetry; part…three.js · MIT3DModular camera rig compatibilityCreate an invented accessory rig with explicit slot rules and reversible changes. A written recipe (products-assemblies; authored): the…three.js · MIT3DMolecular shape and electron-pair geometryContrast methane and water while distinguishing atoms from electron-pair guides. A written recipe (molecules-materials; sourced): the parts…three.js · MIT3DMonte Carlo volume estimate with an intervalEstimate a volume by sampling a bounding box and keep the uncertainty attached to every reported number. A written recipe…three.js · MIT3DMoon phases from an observer viewpointLink an external Sun-Earth-Moon diagram with the lunar disk seen by an Earth observer. A written recipe (astronomy-space; part sourced…three.js · MIT3DMoulded enclosure with draft, ribs and bossesModel a plastic housing whose features carry the reasons they exist: pull direction, draft, wall thickness and stiffening. A written recipe…three.js · MIT3DMulti-head attention comparison without head averagingCompare two to eight supplied attention heads from their separate projections through concatenation and the output projection while…three.js · MIT3DBone, joint and muscle as a lever systemExpose effort, fulcrum and load geometry on a limb so a moment arm becomes a measurable distance rather than an illustration. A written…three.js · MIT3DAccessible museum route and object inspectionBuild a navigable gallery whose route, landmarks and exhibit inspection stay connected, with equivalent controls for essential spatial…three.js · MITA whole sceneMuseum visitor evaluation event playbackReplay supplied or synthetic route and object-inspection events with provenance and missing-data states, without fabricating visitors or…three.js · MIT3DMusic structure mapped into a spatial sceneMap supplied musical events and sections to authored spatial parameters while keeping timing data, audio playback and visual interpretation…three.js · MIT3DNatural deduction: proof trees and assumption scopeInspect why each inference is licensed and which assumptions remain open. A written recipe (logic-circuits; part sourced, part authored)…three.js · MIT3DNewton basins for z cubed minus oneIterate Newton’s rule for f(z)=z^3-1 on a finite complex grid, classify only tolerance-confirmed roots, and lift one selected orbit without…three.js · MIT3DNight market street with layered lightBuild a dense street where the lighting is made of many small owned sources and the crowd flows along readable lanes. A written recipe…three.js · MITA whole sceneNormal density and interval probabilityMove interval boundaries under a normal curve while separating density height from probability area. A written recipe…three.js · MIT3DFlow rate through a narrowing conduitCompare cross-sectional average speeds while a fixed volume flow passes through different pipe areas. A written recipe (soft-fluid-thermal…three.js · MIT3DObserver-frame constellation and horizon playbackTransform supplied catalog directions and constellation line identities into an observer horizon frame at declared site and times…three.js · MIT3DOpen-boundary signal queue playbackCompare finite supplied signal plans on an open movement network with explicit arrivals, routes, storage and saturation-service inputs…three.js · MIT3DOrbital elements and orbit shapeGive each defined geometric orbital element a control, with explicit circular and equatorial conventions for undefined elements. A written…three.js · MIT3DOrbital isosurfaces: phase versus probabilityCompare signed orbital-amplitude contours with the non-negative squared amplitude of one supplied, identified one-particle orbital grid. A…three.js · MIT3DReference frames and time for orbital scenesMake the frame an explicit object: the same trajectory drawn in an inertial and a rotating frame looks completely different, and both are…three.js · MIT3DOrthogonal projection and the residual vectorMake the residual the visible subject: the shortest connection from a point to a subspace is perpendicular to it. A written recipe…three.js · MIT3DPallet build with stability rulesBuild a load where each placement is checked against authored stacking rules, so a pallet is a validated structure rather than a pile. A…three.js · MIT3DParcel sorter event playbackFollow parcels through an invented sorter whose routing decisions and queues are inspectable. A written recipe (operations-logistics…three.js · MIT3DPeriodic trajectory: temporal unwrappingSeparate wrapped cell images from one conditionally reconstructed continuous path in a fixed orthorhombic cell. A written recipe…three.js · MIT3DPiece permutation cycle explorerShow where pieces move without mistaking position cycles for complete puzzle state. A written recipe (twisty-puzzles; sourced): the parts…three.js · MIT3DPetri nets: weighted firing and markingsMake enabling, conflict and marking updates visible without confusing moving beads with tokens in transit. A written recipe…three.js · MIT3DPipelining, latency and throughputSeparate how long one item takes from how often items finish, and tie both to the slowest stage. A written recipe (logic-circuits…three.js · MIT3DRefraction at a planar interfaceChange the incident angle and indices while measuring both rays from the same surface normal. A written recipe (waves-optics-fields; part…three.js · MIT3DElectric field from two stationary chargesAdd two point-charge field contributions and distinguish direction from magnitude near singularities. A written recipe…three.js · MIT3DPolarization and Malus lawTrack a transmission axis in three dimensions and derive intensity from the angle between axes rather than from an artistic dimming. A…three.js · MIT3DPolycrystalline grains and slip planesShow a polycrystal as differently oriented lattice domains and make slip planes a property of orientation rather than a texture. A written…three.js · MIT3DPolyhedron net foldingKeep face identity and shared edges visible while unfolding a solid. A written recipe (solid-geometry; sourced): the parts to model, the…three.js · MIT3DPortable speaker exploded assemblyExplain the authored part hierarchy of a small speaker through reversible separation. A written recipe (products-assemblies; authored): the…three.js · MIT3DPredator-prey cycles in phase space and model timeLink an idealized two-population interaction model to its time series, phase portrait and bounded time-lifted trajectory without presenting…three.js · MIT3DProjectile trajectory and first contactKeep position, velocity and acceleration consistent through ballistic flight. A written recipe (rigid-mechanics; sourced): the parts to…three.js · MIT3DProtein secondary structure ribbonBuild a cartoon protein view whose helices and strands come from annotated structure rather than from decorative shapes. A written recipe…three.js · MIT3DPyraminx legal-move state and turn playerDrive a tetrahedral twisty puzzle from versioned discrete piece permutations and orientations, including distinct main-layer and tip moves…three.js · MIT3DQuadratic Julia filled-set escape inspectorHold one quadratic parameter fixed, vary the initial complex point, and inspect detected escape without confusing the dynamical plane with…three.js · MIT3DRAG retrieval and provenance inspectorInspect one query's ranked passages, its fixed top-k retriever prior, and separately defined latent-document contributions in a bounded RAG…three.js · MIT3DReaction coordinate: sourced energy profilePlot supplied energy samples against one declared coordinate without turning interpolation or a sampled peak into a mechanism. A written…three.js · MIT3DReactive trajectory: explicit topology changesPreserve atom identity and sourced bond events across frames without guessing reaction chemistry from distance. A written recipe…three.js · MIT3DDesired state, observed state and a reconciliation loopModel an operator loop where the difference between requested and observed state drives every action taken. A written recipe…three.js · MIT3DNormal modes of a rigid rectangular roomInspect one analytic pressure eigenmode in a lossless rigid rectangular room, with its frequency, signed spatial lobes and nodal planes…three.js · MIT3DRecursion, call stack and backtrackingBuild the call stack as a physical stack so that returning is popping, and let a backtracking search grow and prune it. A written recipe…three.js · MIT3DReplicated log and leader-based consensusGive each replica its own visible log so agreement becomes a comparison between logs rather than a claim. A written recipe…three.js · MIT3DReversible branching storybook spatial sceneTurn narrative choices into distinct spatial dioramas while preserving authoritative branch state, checkpoints and a truthful back/reset…three.js · MITA whole sceneRibbon motion sculptureCompose a layered ribbon installation whose form can be explored without hiding its control curve. A written recipe (characters-motion-art…three.js · MIT3DReciprocal complex mapping on the Riemann sphereRelate a bounded complex-plane viewport to the unit sphere and show how reciprocal mapping exchanges zero and infinity. A written recipe…three.js · MIT3DRobot arm forward-kinematics framesConnect joint coordinates to an articulated arm and inspectable endpoint frame. A written recipe (robotics-control; sourced): the parts to…three.js · MIT3DRigid robot contact task executionInspect a bounded rigid robot approach/contact/hold/retreat task whose controller, collision solver and state transitions have separate…three.js · MIT3DRolling without slipping and the inertia raceRace bodies of equal mass and radius down one incline so the only difference is where their mass sits. A written recipe (rigid-mechanics…three.js · MIT3DRoom acoustics through first-reflection image sourcesReveal direct and single-wall specular paths in a rectangular room, with travel delays rather than a claimed wave solution. A written…three.js · MIT3DRoot-zone irrigation water budgetBalance daily root-zone depletion from rain, runoff, irrigation, capillary rise, evapotranspiration and deep percolation while keeping…three.js · MIT3DSaddle-node normal form branch and bounded time traceExplore dx/dt=r-x^2 only on a declared bounded state/time window, linking its equilibrium branch, derivative stability and time trace…three.js · MIT3DSampling means from a skewed populationCompare individual Bernoulli draws with the distribution of repeated sample means. A written recipe (probability-statistics; part sourced…three.js · MIT3DSarcomere sliding filament comparisonCompare relaxed and shortened sarcomeres without shrinking the filaments themselves. A written recipe (physiology-biomechanics; sourced)…three.js · MIT3DSAT: a model versus a checked refutationSeparate one successful assignment from a proof that no assignment can work. A written recipe (logic-circuits; part sourced, part…three.js · MIT3DCape and hair follow-through chainsAdd trailing motion that is driven by the character rather than looped beside it, with limits that keep it from exploding. A written recipe…three.js · MIT3DSensorThings telemetry freshness and ordering viewReconcile a finite supplied SensorThings observation stream into stable scene objects while preserving phenomenon, result and arrival times…three.js · MIT3DService graph with trace inspectionConnect service nodes to observed trace relationships while exposing incomplete coverage. A written recipe (abstract-systems-data…three.js · MIT3DSetup, hold and the clock period budgetShow a register timing budget as a scene where violating a window has a visible, named consequence. A written recipe (logic-circuits…three.js · MIT3DIdeal pendulum with measurable stateRelate angular state to bob motion and distinguish small-angle approximation. A written recipe (rigid-mechanics; sourced): the parts to…three.js · MIT3DSingle attention-head value aggregationConnect one query row's scaled query-key scores and softmax weights to the weighted sum of value vectors produced by one attention head. A…three.js · MIT3DSingle-qubit pure and mixed states on the Bloch ballRelate a single-qubit density matrix to a point in the Bloch ball and distinguish pure-state phase from statistical mixing. A written…three.js · MIT3DSingle-qubit quantum-channel mapApply a supplied finite Kraus representation to single-qubit density matrices and compare the input Bloch ball with the channel output…three.js · MIT3DSkeletal hierarchy explorerConnect named bones to axial and appendicular groupings. A written recipe (anatomy-structures; sourced): the parts to model, the one state…three.js · MIT3DDry-skull foramina exploded route atlasInspect a licensed supplied adult dry-skull teaching mesh using curated cranial-fossa aperture labels and internal/external route anchors…three.js · MIT3DFloating archipelago with wind-driven travelAuthor a fictional world whose invented rule set is stated and consistently enforced, so travel between islands has real constraints. A…three.js · MITA whole sceneSliding block escape boardSlide authored rectangular blocks along constrained axes toward a visible exit. A written recipe (spatial-puzzles; authored): the parts to…three.js · MIT3DSmall neural-network forward activationsMake every affine contribution, pre-activation, ReLU result, and output of a small two-layer network inspectable for one input. A written…three.js · MIT3DSMT arithmetic: integer and real modelsCompare exact arithmetic domains and preserve solver uncertainty in the display. A written recipe (logic-circuits; part sourced, part…three.js · MIT3DProfile to solid of revolutionConnect a nonnegative profile, its sweep and volume slices. A written recipe (solid-geometry; sourced): the parts to model, the one state…three.js · MIT3DSpectral transitions: mixed orbital contributionsKeep calculated transition energies and strengths tied to method output while showing that an excited state may mix several orbital pairs…three.js · MIT3DSquare symmetries as exact permutationsApply rotations and reflections to labeled square corners and compare operation order. A written recipe (topology-symmetry; part sourced…three.js · MIT3DStable mergesort with persistent item identityTrack duplicate-valued items through recursive splitting and stable merging. A written recipe (algorithms-data-structures; part sourced…three.js · MIT3DStage previsualization with a versioned cue stackCoordinate performer blocking, camera, lighting and scenic cues in a reversible previsualization without claiming live show-control…three.js · MIT3DStair flight geometry and handrail heightGenerate a stair from riser and tread dimensions and check it against published provisions instead of eyeballing it. A written recipe…three.js · MITA whole sceneStanding wave modes on a fixed stringReveal stationary nodes while particles of a string oscillate transversely. A written recipe (waves-optics-fields; part sourced, part…three.js · MIT3DStellar parallax and observation baselineCompare two lines of sight from opposite orbital positions and keep the half-angle convention explicit. A written recipe (astronomy-space…three.js · MIT3DStreamflow guidance playback on a river networkPlay modeled streamflow over a river network while keeping guidance, observation and visualization clearly separated. A written recipe…three.js · MIT3DStudio furniture layout and clearanceArrange furniture in a measured authored room with visible footprint and door-sweep checks. A written recipe (architecture-interiors…three.js · MITA whole sceneSupplied brain-atlas region inspectionInspect regions from a supplied validated atlas label volume and label table without generating or relabeling anatomy. A written recipe…three.js · MIT3DSupplied OpenSim muscle wrapping-path playbackPlay supplied OpenSim muscle-tendon path samples across one bounded joint coordinate, preserving body frames and point identity without…three.js · MIT3DSingular value decomposition as orthogonal map, scale, orthogonal mapDecompose one matrix into three visible stages, keep reflections visible as legitimate orthogonal factors, and connect the ellipsoid…three.js · MIT3DSymmetry operations found under a toleranceApply candidate symmetry operations to a 3D arrangement and let the tolerance that decides success be an explicit control. A written recipe…three.js · MIT3DTerrain contours linked to a height fieldConnect equal-elevation contour lines with horizontal slices through a labeled synthetic terrain. A written recipe (earth-environment; part…three.js · MIT3DTerrain island with grounded explorationCompose a traversable island around a ridge, sheltered inlet and readable path. A written recipe (environments-dioramas; authored): the…three.js · MITA whole sceneThree-qubit GHZ correlation inspectorInspect an ordered three-qubit GHZ state through its eight amplitudes, one- and two-qubit reductions and exact three-body Pauli parity…three.js · MIT3DTimed colored Petri net: bindings and model timeBind typed token values and advance an explicit model clock without turning animation duration into net semantics. A written recipe…three.js · MIT3DTorque-driven planar four-bar dynamicsIntegrate one planar four-bar generalized coordinate from applied torque while solving loop closure on a locked assembly branch. A written…three.js · MIT3DTorus cells and Euler characteristicCount unique cells on a periodic torus mesh and compare them with the identified parameter rectangle. A written recipe (topology-symmetry…three.js · MIT3DTraining trajectory checkpoint inspectorInspect a trusted pre-extracted sequence of model checkpoints through comparable metrics and one fixed declared projection without loading…three.js · MIT3DTrefoil knot, crossings and invariantsKeep the spatial curve and its projected diagram in one scene, so a crossing count belongs to the projection and not to the knot. A written…three.js · MIT3D3 by 3 cube face-turn playerModel legal outer-layer turns with exact discrete state and animate their presentation without using mesh transforms as the puzzle state. A…three.js · MIT3DTwisty-puzzle mechanism cutaway and turn explanationUse a patent-grounded 3×3 mechanism example to explain how centers, sliding piece connectors and an interior element retain pieces while a…three.js · MIT3DTwo-parameter loss slice and gradientDistinguish a true two-parameter loss from a two-direction slice through a higher-dimensional model and show gradients in the coordinates…three.js · MIT3DTwo-qubit Bell-state marginals and joint correlationsInspect a normalized four-amplitude two-qubit state through its two reduced states and joint Pauli correlations, with Bell presets that…three.js · MIT3DTwo-qubit mixed-state partial-transpose inspectorInspect a supplied two-qubit density matrix, its reductions and partial-transpose spectrum with the exact 2×2 Peres-Horodecki separability…three.js · MIT3DKruskal, union-find and the cut propertyShow component membership as a first-class object so that rejecting an edge has a visible reason. A written recipe…three.js · MIT3DStreamlines, trajectories and integrator errorSeparate the field itself from the numerical path traced through it, and keep the step size visible as a modeling choice. A written recipe…three.js · MIT3DVentilation pressure and motion phasesConnect an illustrative thorax motion to pressure direction and airflow phase labels. A written recipe (physiology-biomechanics; sourced)…three.js · MIT3DVersioned branching-story save migrationMigrate a saved branching-story state through explicit schema versions, preserving immutable source data and rolling back on unknown or…three.js · MIT3DVertebral column regions, curves and disc structureBuild a segmented spine whose regional counts and curvatures stay correct while an authored flexion envelope is explored. A written recipe…three.js · MIT3DIdeal vessel radius and resistanceCompare how an ideal tube model changes resistance when radius changes. A written recipe (physiology-biomechanics; sourced): the parts to…three.js · MIT3DVoxel packing tray puzzlePlace authored polycube pieces into a small grid volume using exact occupied cells. A written recipe (spatial-puzzles; authored): the parts…three.js · MIT3DWait-for graphs: single-instance deadlockTrace an actual blocked request to its current owner and inspect a cycle witness under explicit assumptions. A written recipe…three.js · MIT3DWarehouse pick tour and inventoryConnect a synthetic order list to rack locations and explicit pick confirmations. A written recipe (operations-logistics; authored): the…three.js · MIT3DWater hydrogen-bond illustrationDistinguish intramolecular O-H bonds from selected illustrative intermolecular connections. A written recipe (molecules-materials…three.js · MIT3DFlow direction, accumulation and stream networksDerive drainage from a terrain grid so that a stream network is the result of a stated rule and a threshold, not a painted line. A written…three.js · MIT3DWinged creature flight cycle and banking turnsBuild a flier whose wing cycle, banking and heading come from one motion state instead of three unrelated animations. A written recipe…three.js · MIT3DAR museum placement and occlusion uncertaintyPlace one museum object from a WebXR hit-test pose, optionally maintain an anchor and depth occlusion when separately enabled, and expose…three.js · MITA whole sceneXR museum world-scale teleport contractNavigate a meter-authored museum using supplied walkable polygons and teleport targets while treating device bounded-floor geometry…three.js · MITA whole sceneXR two-hand product manipulation contractInspect one tabletop product using stable authored handle frames, one-hand rigid grab and a bounded two-hand transform on the product root…three.js · MIT3D