🔷 Geometry

Euler's Formula: Planar Graph & Schlegel Diagram (2D)New📱Flatten eight polyhedra into true planar-graph (Schlegel) diagrams via Tutte's barycentric… Nautilus Shell Growth (2D)New📱A top-down 2D projection of the logarithmic-spiral chamber growth a real nautilus shell… Parametric Surface Cross-Sections (2D)New📱A 2D orthographic-projection and cross-section explorer for classic parametric surfaces… Minimal Surface Cross-Sections: Catenoid & Helicoid (2D)New📱A 2D companion to the 3D minimal-surface simulation: it plots the catenoid's real meridian… Sphere Projections 2D — Mercator, Stereographic, Orthographic & Mollweide (2D)New📱A Canvas2D companion to the 3D sphere-projection lab: watch a real latitude/longitude… Tesseract 2D (2D)New📱Watch a real four-dimensional hypercube rotate using true 4D rotation matrices, then project… Polyhedra Net Explorer (2D)New📱Watch each Platonic solid unfold into its real flat net on a 2D canvas. Drag the fold slider… Gyroid Cross-Sections (2D)New📱Sweep a slicing plane through the gyroid's implicit surface and watch marching squares trace… Geodesic Dome Panel Net (2D)New📱Unfold a geodesic dome's triangular panels into a flat strut-and-panel schedule, the way… Parametric Curves Explorer (2D)New📱Draw epicycloids, hypocycloids, rose curves, Lissajous figures, cardioids and astroids from… Sierpinski Carpet — the Menger Sponge's 2D Analogue (2D)New📱Build the Sierpinski carpet on a Canvas2D grid, the real 2D analogue of the 3D Menger… Delaunay Triangulation & Voronoi Diagram (2D)New📱Canvas2D Bowyer-Watson Delaunay triangulation with a live Voronoi dual you build by clicking… Dimension Creation (2D): Sierpinski Carpet Box-Counting LabNew📱Canvas2D lab that builds a Sierpinski carpet fractal and lets you measure its box-counting… Origami Folding — 2D Crease Pattern SimulatorNew📱Rotate and fold Miura-ori, Yoshimura, Kresling and waterbomb crease patterns on a plain… Penrose Impossible Triangle (2D)New📱A 2D canvas projection lab where you dial the azimuth and elevation to find the exact angle… Computational Geometry Explorer (3D)NewA real 3D computational-geometry engine — incremental convex hull, Delaunay triangulation… Spatial Lab 3D — Platonic Solids & Cross-Section ExplorerNewOrbit five regular polyhedra and a torus in real WebGL, slice them open with a live… Circle Packing: RSA vs Advancing Front (2D)New📱2D circle-packing lab that grows a pack via random sequential addition or a tangent-seeking… Voronoi Glass Shatter (2D): Impact-Driven Fracture GeometryNew📱2D companion to the Voronoi glass-shatter lab: click the pane to fracture it from a real… Brick Wall Bond Pattern & Crumble Simulator (2D)New📱2D brick wall simulator with a real bond-pattern selector (running, stack, basket weave,… Möbius Strip Unrolled (2D)New📱An unrolled 2D diagram of a Möbius strip where an ant crawls along the surface and flips to… 3D Shape 2D: Metalness & Roughness Shading PreviewNew2D companion to the 3D Shape material viewer: pick a primitive silhouette, tune metalness… 2D TessellationsNew📱Build real 2D tessellations from lattice-vector math (triangular, square, hexagonal grids),… 2D Quaternion RotationNew📱A genuine 2D quaternion visualizer: real Hamilton-product quaternion multiplication,… The Hough TransformNew📱Watch noisy edge points cast votes into Hough parameter space and see the strongest peaks… Quaternion Rotation — Axis-Angle & Slerp ExplorerNew📱Explore how quaternions represent 3D rotation without gimbal lock. Set an axis and angle,… Salisbury: Britain's Tallest Medieval Spire and the Gateway to StonehengeNew📱A dual 3D scene comparing Salisbury Cathedral's soaring spire engineering with the… Eratosthenes' Earth MeasurementNew📱Recreate Eratosthenes' 3rd-century BC experiment: compare gnomon shadow angles at two cities… Exploring Higher DimensionsNew📱A concise introduction to higher dimensional geometry and its implications for physics and… Hyperspace SimulationNew📱Fly through a starfield warp tunnel and see how warp factor, tunnel radius and star density… Dimension Bridge: Exploring Higher Spatial DimensionsNew📱A concise introduction to dimensional geometry, exploring how objects might behave in spaces… Dimension Creation SimulationNew📱Learn about dimensional analysis and its applications in physics simulations. Explore how… String Art Pattern: Pattern MultiplierNew📱Create intricate string art patterns by adjusting the line multiplier and observing how… Voronoi Shatter: Thermodynamic FragmentationNew📱Explore how a point of concentrated energy can cause the breakdown and fragmentation of a… 3D Brick WallNew📱This simulation provides an interactive view of a 3D brick wall, allowing users to examine… 3D Geodesic Dome StructureNew📱This simulation visually represents how geodesic dome structures are constructed using… 3D Hypercube TesseractNew📱This simulation allows users to visualize a four-dimensional hypercube, also known as a… 3D Mobius StripNew📱This simulation allows users to explore the properties of a Möbius strip through interactive… 3D ShapeNew📱This simulation allows users to create and manipulate various three-dimensional shapes. It's… Voronoi CellsNew📱This simulation visualizes the Voronoi diagram concept, demonstrating how points in a plane… Computational Geometry - Comprehensive GuideNew📱This simulation demonstrates the principles of computational geometry by allowing users to… Floating Chess BoardNew📱This simulation demonstrates a 3D representation of a floating chess board, showcasing the… Geometric TunnelNew📱This simulation creates an immersive experience within a tunnel constructed from geometric… Kaleidoscope ShapesNew📱This simulation generates mesmerizing kaleidoscope patterns by transforming input shapes… Mathematics Geometry SimulationNew📱This simulation demonstrates geometric concepts such as shapes, angles, and area. It… Fractal Mountain FlythroughNew📱Experience the beauty of fractal geometry through a flythrough simulation of a mountain… Voronoi Glass ShatterNew📱This simulation recreates the visual effect of shattered glass using Voronoi diagrams,… Nautilus Shell GrowthNew📱This simulation demonstrates the logarithmic spiral growth pattern observed in nautilus… Mirror Room ReflectionsNew📱Explore the principles of reflection and refraction within a virtual mirror room. Adjust… Penrose Tiling in Three DimensionsNew📱This simulation visually represents the Penrose tiling pattern in three dimensions. Users… Penrose Impossible TriangleNew📱This simulation visually represents the Penrose impossible triangle, a fascinating geometric… Honeycomb Growth: Wave Propagation SimulationNew📱This simulation demonstrates the formation of honeycombs through wave propagation, where you… Enhanced Sierpinski Triangle Fractal GeneratorNew📱Explore the mesmerizing world of infinite detail within the Sierpinski triangle fractal.… Spiral StaircaseNew📱This simulation allows users to explore a complex spiral staircase, demonstrating principles… Spirograph SimulatorNew📱This simulation explores the geometry of spirographs, specifically hypotrochoids and… Theater Set Design SimulationNew📱This simulation enables users to design and arrange theatrical sets for various productions.… Theater Stage Design SimulationNew📱This simulation focuses on designing the physical layout and configuration of a theatrical… Theater Theater Design SimulationNew📱Users can experiment with designing a theater space, considering factors like acoustics,… Transcendent Dimension Transcendence SimulationNew📱This simulation investigates the theoretical possibilities of manipulating spatial… Transcendent Space Perfect Space SimulationNew📱This simulation explores the idea of a space characterized by absolute order, symmetry, and… Voronoi Cellular Landscape GenerationNew📱This simulation generates terrain using the Voronoi diagram algorithm. It demonstrates how… Voronoi Diagram GenerationNew📱This interactive exploration demonstrates the creation of Voronoi diagrams, visualizing how… Platonic Solid RotationNew📱This simulation visually represents the five Platonic solids – tetrahedron, cube,… Torus Knot MorphNew📱Observe the mesmerizing transformation of a torus knot through this simulation,… Lunar Shadow GeometryNew📱This simulation demonstrates how shadows are formed on the moon due to its spherical shape… Polar Lattice | Three.jsNew📱This simulation displays a polar lattice structure using three.js, potentially representing… Spatial LabNew📱This simulation demonstrates spatial reasoning and problem-solving within a virtual lab… Archimedean SolidsNew📱Interactive Archimedean solids explorer. Rotate the truncated tetrahedron, cuboctahedron,… Compass & Straightedge ConstructionsNew📱Animated, mathematically real compass-and-straightedge constructions: perpendicular… Conic SectionsNew📱Interactive conic sections simulator. Slice a double cone with an adjustable plane and watch… Euler's Formula (V-E+F=2)New📱Rotate eight polyhedra, from the tetrahedron to a truncated cube, and watch live vertex,… Gaussian Curvature ExplorerNew📱Compare a sphere, plane, saddle, cylinder and torus rendered as rotatable shaded meshes,… Golden Ratio SpiralNew📱Interactive golden ratio spiral simulator. Watch the golden rectangle subdivide into… Kepler-Poinsot Star PolyhedraNew📱Interactive Kepler-Poinsot star polyhedra simulator. Rotate the small stellated… Pentagon TilingNew📱Explore convex pentagon tilings of the plane. See why regular pentagons alone can never tile… Perspective Projection & Vanishing PointsNew📱A floor grid and 3D boxes are projected onto the picture plane using real camera math, the… Poincare Disk (Hyperbolic Geometry)New📱Drag points inside the unit disk to draw real hyperbolic geodesic arcs via circle-inversion… Polyhedron Nets (Unfolding 3D Solids)New📱Watch the five Platonic solids unfold into flat 2D nets and fold back into 3D, using a real… 4D Regular PolytopesNew📱Rotate genuine 4-dimensional regular polytopes, the 5-cell, 16-cell and 24-cell, plus a… Reuleaux PolygonsNew📱Build genuine curves of constant width from odd-sided regular polygons (3-11 sides). Watch a… Spherical TrigonometryNew📱Place three points on a rotatable globe to form a great-circle triangle. Live arc lengths,… Symmetry Groups & Wallpaper PatternsNew📱Tile the plane with an asymmetric flag motif under eight real wallpaper-group generators… Voronoi Diagrams & Lloyd's RelaxationNew📱Generate random sites and watch a raster-computed Voronoi diagram relax toward a centroidal… Superellipse — Lamé Curves & the SquircleNew📱Sweep the exponent n in |x/a|ⁿ + |y/b|ⁿ = 1 and watch it morph from astroid to diamond,… Sierpiński Tetrahedron — 3D FractalNew📱Explore the Sierpiński tetrahedron — a 3D fractal built by replacing a tetrahedron with four… Topology SurfacesNew📱Topological surfaces: genus, Euler characteristic, Klein bottle and Mobius strip… Torus KnotNew📱Reshape a (p,q) torus knot with iridescent fresnel shading — change p, q and tube thickness. Gyroid & Minimal SurfacesNew📱Explore triply-periodic minimal surfaces in 3D — Gyroid, Schwarz P, Diamond and Neovius —… Sphere & Circle PackingNew📱How densely can equal circles and spheres fill space? Compare square, hexagonal and random… Geodesic DomeNew📱Build Buckminster Fuller geodesic spheres by subdividing an icosahedron and projecting onto… Bézier, B-Spline & NURBSNew📱The parametric curves behind every vector graphic and font. Drag control points, watch the… Delaunay & VoronoiNew📱Compute the Delaunay triangulation (Bowyer–Watson) of a draggable point set live, with the… Menger SpongeNew📱The canonical 3D fractal: subdivide each cube into 27 children and keep 20, recurse.… Polyhedra Explorer📱Explore all 5 Platonic solids and 13 Archimedean solids in interactive 3D. Drag to rotate,… Minimal Surfaces — Catenoid, Helicoid, Soap Film📱Explore minimal surfaces: catenoid, helicoid, Enneper surface and soap-film simulation.… Sphere Projections — Mercator, Stereographic & More📱Compare 6 map projections of a sphere onto a flat plane: Mercator, Stereographic,… Tesseract — 4D Hypercube Rotation Visualiser📱Visualise a 4-dimensional hypercube (tesseract) projected into 2D. Rotate in 6 independent… Tessellations📱Interactive tessellation explorer. Regular tilings (triangular, square, hexagonal) and… Quaternion Rotation📱Interactive side-by-side Euler angles vs quaternion rotation comparison. See gimbal lock in… Parametric Surfaces📱Interactive parametric surface explorer. Render torus, Klein bottle, Möbius strip, sphere… Miura-ori, Yoshimura & Kresling Crease Patterns📱Explore Miura-ori, Yoshimura and Kresling crease patterns with animated step-by-step rigid… Hypercube Tesseract Simulator📱Watch a 4D hypercube's 16 vertices and 32 edges rotate through a real 4D rotation matrix and… Geodesic Dome Structure (2D)📱Subdivide an icosahedron into a triangulated geodesic dome at any frequency and watch the…