Interactive Simulations

Crystal Amplituhedron: Symmetry as Boundary

The Niggli cone as a positive geometry whose boundary stratification encodes all crystal symmetry systems — with E6 root projection, polytope growth layers, and depth-attenuated wireframe rendering.

crystallographypositive-geometrywebglmathematics

Regular Polytopes: The Dimensional Ladder of Perfection

Interactive nD polytope visualization — from Platonic solids through the exceptional 4D polytopes to 6D hypercubes, with bloom wireframe rendering and Givens rotation.

geometrypolytopeswebglhigher-dimensions

Periodic Table Topology

Interactive visualization of the periodic table as a 4D lattice — persistent homology reveals 10 H₁ cycles that the standard 2D table tears.

topologychemistryvisualizationpersistent-homology

Platonic Solids

All five Platonic solids generated from first principles — two seeds, one constant, and the convex hull. Raw WebGL, zero dependencies.

geometrywebglmathematics

Fluid Dynamics Simulation

Interactive particle-based fluid simulation using double density relaxation, implemented in Rust/WASM with WebGL rendering

physicswasmrustwebglfluid-dynamics

Boids Flocking Simulation

Interactive flocking simulation demonstrating emergent behavior from simple rules, implemented in Rust/WASM with spatial partitioning for thousands of boids at 60fps

physicswasmrustemergenceflocking

Visualizations

Grokking Constellation Network

Interactive 3D force-directed graph of 32 constellation nodes across physics, mathematics, EE, and RF engineering, connected by 91 typed morphism edges. Explore cross-domain structural relationships in the knowledge network.

three.js 3d-force-graph knowledge-graph category-theory

Visual Definitions

Each term constrains a configuration space. Add precision, watch possibilities narrow.

Morpho-Space: The Shape of a Word

It is not language that fails us — it is we who fail language. Watch mathematical terms constrain configuration space in real time.

geometrytopologylanguagewebgl