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iOS 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-2.03DmacOS 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-2.03DiPhone & 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-2.03DThree 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-2.03Dcharacter-animation/character-design-directorHow the agent runs the character_design stage of the character-animation pipeline. The stage hands on the character design. Stops for the…Skill · Link only3Dcharacter-animation/rig-plan-directorHow the agent runs the rig_plan stage of the character-animation pipeline. The stage hands on the rig plan, the pose library. No approval…Skill · Link only3Dcreative/3d-world-generationWhen a film needs a real, continuous three.js world instead of stills or generated clips: which tools to route through, what each asset…Skill · Link only3D3d-asset-generationGenerating, rebuilding and checking 3D models for the world-building tools, through Atlas Cloud, fal.ai, licensed catalogs and Blender.Skill · Link only3Dcharacter-riggingBuilding 2D character rigs from data: parts, pivots, layers, constraints, views.Skill · Link only3Dpose-library-designDesigning reusable 2D character poses, action cycles and expressions.Skill · Link only3Dthreejs-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-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 only3Dcharacter_spec_generatorTurns an approved character idea into a structured character design file. Runs on the machine. Works with no keys.Tool · Link only3Dpose_library_builderBuilds a library of named poses and expressions for a rig. Runs on the machine. Works with no keys.Tool · Link only3Dsvg_rig_builderBuilds an SVG character rig: parts, pivots and layers. Runs on the machine. Works with no keys.Tool · Link only3Datlas_3dA 3D model from a text description, through Atlas Cloud. Calls an outside service; keys named in its code: ATLASCLOUD_API_KEY…Tool · Link only3Dblender_worldAssembles and renders a 3D world in Blender from generated and licensed assets. Runs on your own GPU with model weights you download. Needs…Tool · Link only3Dfal_3dA 3D model from text or a picture, and object reconstruction, through fal.ai. Calls an outside service; keys named in its code…Tool · Link only3Dthreejs_asset_catalogBrings licensed 3D model and texture packs into a local catalog for three.js worlds, keeping the license of each. Routes to whatever…Tool · Link only3Dthreejs_worldBuilds an editable three.js world from a structured description (terrain, regions, camera path) for rendering through HyperFrames. Runs on…Tool · Link only3DInk PuppetA stick figure that draws itself in and then plays named motion-capture clips in sequence. The agent only chooses the moves; nothing is…HTML · Link only3Dbvh2clip and add-motionTwo Node scripts that turn a 3D BVH motion-capture file into one of the puppet's flat 2D clips (joint tracks per frame, scaled to a fixed…Tool · Link only3Dcharacter_design schemaCharacter definitions for rigged animation. A JSON Schema; required fields: version, characters.Starter · Link only3Dpose_library schemaNamed poses, expressions and transition hints. A JSON Schema; required fields: version, characters.Starter · Link only3Drig_plan schemaRig parts, pivots, layers, constraints and views. A JSON Schema; required fields: version, characters.Starter · 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-2.03DMCP for Blender server (mcp-for-blender 2.2.7)The Python program an agent's app starts: it speaks MCP to the agent and plain JSON over a local TCP socket (this machine, port 9876) to…Tool · MIT3DMCP for Blender add-on (addon.py 1.8, protocol 15)One 7,200-line Blender add-on that opens a socket server inside Blender and carries out the commands sent to it: run Python, describe the…Tool · MIT3Dmcp-for-blender setupA command that finds the AI apps on the machine (Claude Desktop, Claude Code, Codex, Cursor, VS Code, Devin Desktop or Windsurf, OpenCode…Tool · MIT3Dmcp-for-blender install-addon / addon-pathsCopies the add-on bundled with the package into Blender's add-ons folder and prints where it wrote; addon-paths lists the Blender add-on…Tool · MIT3Dmcp-for-blender updateChecks PyPI for a newer release, refreshes uv's cached copy so the next launch uses it, and replaces every installed copy of the add-on…Tool · MIT3Dinstall.sh / install.ps1The one-line installers the README leads with. Each installs uv by piping uv's own installer into a shell if uv is missing, then runs the…Tool · MIT3DDockerfileRuns the MCP server in a container while Blender stays on the host; the image points at host.docker.internal:9876.Tool · MIT3DCodex pluginA Codex plugin wrapper around the same server that switches on the viewport panel beside the chat, thumbnail pickers for the asset…Tool · MIT3Dexecute_blender_codeRuns Python the model writes inside the user's open Blender, with the full bpy API, and returns whatever it printed. This is the tool that…Tool · MIT3Dgenerate_3dMakes one textured 3D model from a short text prompt or an image and imports it, through Tripo, Hunyuan3D, Hyper3D Rodin or Meshy. One…Tool · MIT3Dsearch_assetsSearches three existing libraries: Poly Haven (HDRIs, PBR textures and realistic models, all CC0, no key), Sketchfab (user-made models…Tool · MIT3Dimport_assetDownloads an asset found by search_assets and brings it into the scene: an HDRI becomes the world lighting, a texture set becomes a…Tool · MIT3DPoly HavenAbout 2,400 HDRIs, PBR texture sets and models, all CC0, fetched from api.polyhaven.com with no key and no account. HDRIs are packed into…Tool · MIT3DSketchfabSearch and download of user-made models from Sketchfab. Licenses differ per model, so each one has to be checked before it goes into…Tool · MIT3DPoly PizzaAbout 10,600 low-poly models as single .glb files, CC0 or CC-BY; the credit line is written onto each imported object. The README says…Tool · MIT3DHyper3D RodinText or image to a textured model through Hyper3D's own site or through fal.ai. The add-on carries a shared free-trial key for the main…Tool · MIT3DHunyuan3DText or image to a model through Tencent Cloud's Hunyuan API (mainland or international account), or through a Hunyuan3D server the user…Tool · MIT3DTripoText or image to a textured model through Tripo, on the user's own key or through Premium.Tool · MIT3DMeshyText or image to a textured model sized to real-world height with its origin on the ground; on the user's own key it can make a character…Tool · MIT3DMCP for Blender PremiumThe author's paid plan: one license key instead of four generator keys. The add-on sends the license key, a device ID and each prompt or…Tool · MIT3DGuide: Writing bpy that works on any BlenderThe most useful page in the repo for anyone scripting Blender: how to look up enum values, node sockets and operator arguments before using…Blender · MIT3DGuide: Materials and texturingNode materials in a few lines of code, a table of believable base color, metallic and roughness values, real-world tiling for Poly Haven…Blender · MIT3DGuide: RiggingArmatures from Python, Rigify for humanoids, simple rigs for everything else, skinning with automatic weights and how to fix it, and how to…Blender · MIT3DGuide: Retopology and mesh cleanupTurning generated or scanned meshes into lighter, clean geometry: diagnose, clean up, reduce, unwrap, and bake the detail back. Relevant to…Blender · MIT3Dblender-modelerGeneral modeling ground rules: COL_ collections first, blockout from primitives, the modifier order (mirror, array, solidify, boolean…Blender · MIT3Dcharacter-artistHuman characters for animation: proportions in head units, where edge loops must go to deform (eyes, mouth, shoulders, elbows, knees)…Blender · MIT3Dcloth-simCloth that drapes: quad garment mesh, pin and stiffness vertex groups, starting settings for a soft dress, a stiff coat and a flag, a…Blender · MIT3Dcreature-artistCreatures grounded in real anatomy: skeleton blockout first, then muscle masses, surface forms and detail tiers, with base skeletons for…Blender · MIT3Dgeometry-nodesProcedural systems as reusable GN_ node groups: scatter on a surface, a building generator, pipes and cables along curves, rock formations…Blender · MIT3Dhair-groomHair and fur two ways: hair cards on an atlas for real-time, curves or particle hair for a cinematic render, with card counts per LOD and…Blender · MIT3Dhard-surfaceCrisp manufactured objects: devices, machines, weapons, sci-fi panels. Gives the order that works (primary volumes, cutters named…Blender · MIT3DlightingLighting by intent: three-point setup with angles and ratios, which light type for which job, a color-temperature table, HDRI steps…Blender · MIT3DmaterialsPBR materials done consistently: a set of MAT_ master materials (metal, plastic, fabric, glass, emissive, organic), a table of metallic and…Blender · MIT3Dphysics-simRigid body, soft body and destruction: active against passive bodies, hinge and breakable constraints, pre-cut shards triggered on a chosen…Blender · MIT3Dprocedural-modelingParametric assets (rocks, buildings, roads, terrain, pipes, sci-fi panels) built with Geometry Nodes or modifiers, with variation testing…Blender · MIT3Dprop-artistGrounded everyday props (furniture, tools, household objects) when hard-surface is too mechanical: silhouette first, real-world scale…Blender · MIT3DretopologyTurning a dense sculpt into a clean quad mesh: methods (shrinkwrap setup included), edge-loop and pole rules, where triangles are allowed…Blender · MIT3DriggingArmatures for deforming assets: bone naming and hierarchy, IK against FK, constraints, weight painting, mechanical rigs, facial rigs and…Blender · MIT3DsculptingWhen to sculpt and how: Dyntopo against multiresolution, which brush for which job, the order of detail passes, alphas, damage and wear…Blender · MIT3Dtexture-workflowBaking and texture sets for games: high-to-low bake setup with a cage, which maps to bake (normal, AO, curvature, roughness), atlases…Blender · MIT3Duv-workflowUV unwrapping for production: where seams go, texel density, packing, mirrored UVs, UDIM, lightmap UVs and modular atlases, with a…Blender · MIT3Dvegetation-artistTrees, bushes and grass built as trunk, branches and alpha leaf cards on one atlas, with wind vertex colors and canopy LODs. Game-first…Blender · MIT3Dvehicle-artistCars, trucks, aircraft, ships and mechs: block the proportions from orthographic references, then body volumes, wheels, panel breaks…Blender · MIT3DBlender MCP client config (.mcp.json, .cursor/mcp.json)Two identical config files that register the Blender MCP server for Claude Code and Cursor. They are Windows-only as written (the command…Tool · MIT3DHow to get 3D assets (Pro)A fixed order for sourcing a model: download one if the user allowed it; else generate it from an image with a paid image-to-3D service…Skill · MIT3DHow to get 3D assets (Plus)The same sourcing order as the Pro page with the Blender step removed ('DO NOT use Blender for modeling') and a note that the image-to-3D…Skill · MIT3DFal bootstrap and batch generationThe working recipes for the two image-to-3D models on fal.ai, checked by the author against the official schemas on 2026-09-09…Skill · MIT3Dfal-batch.mjsA 172-line Node script with no dependencies that turns pictures into .glb models through fal.ai's queue: check validates a job file…Tool · MIT3Dthreejs-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-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 · MIT3Dcreate_threejs_game.pyCopies the starter into a folder you name and rewrites the project name in package.json and the lockfile. It only copies files; it installs…Tool · MIT3Dthreejs_3d_asset.pyA 73 KB command-line client for the Tripo API using only Python's standard library: text, image, status, download, postprocess…Tool · MIT3DRenderer 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 · MIT3DVertex-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 · MIT3DRapier 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 · MIT3DInputController.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 · MIT3DModelling and world recipesParts lists for building convincing models from three.js geometry alone: a hero vehicle, a hero character, obstacle families, rewards and a…Skill · MIT3Dturn.mjs (3D runtime, beta)The runtime of the optional 3D mode: parts that truly turn (a dial, a hinge, a piece that breaks off) are re-projected and re-shaded every…Tool · MIT3Dturn-build.mjs (3D builder, beta)The build side of the 3D mode: turning(P, { recorder }) declares groups (turn, slide, hinge, free), live layers and convex parts with seven…Tool · MIT3Dturn-fixed.mjs, canvas-painter.mjs, gl-shared.mjsThree experimental variants of the 3D runtime and WebGL layer (a fixed-camera turn engine of 147 KB, a canvas painter, a shared GL…Tool · MIT3D3dviz-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 · MIT3Dkit-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-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 · MIT3Dexport-village-assets.pyBuild the village glTF heroes procedurally in bpy and export them headless. The bpy script the stone guildhall and iron lantern GLBs come…Blender · MIT3Dexport-hero-tier.pyBake one already-exported kit GLB into a T3 hero GLB: bevel, UVs, baked color, AO, roughness. Joins the exported kit, bevels every edge…Blender · MIT3Dlighting-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 · MIT3DAgent 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 · MIT3DBuoyancy 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 · MIT3DCar-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 · MIT3DConvex 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 · MIT3DCovariance 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 · MIT3DDelaunay 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 · MIT3DFinite-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 · MIT3DClocked 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 · MIT3DHydrostatic 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 · MIT3DKepler 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 · MIT3DMuseum 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 · MIT3DNormal 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 · MIT3DRibbon 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 · MIT3DSliding 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 · MIT3DStanding 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 · MIT3DSupplied 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 · MIT3DThree-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 · MIT3D