Interactive Simulations
Accelerating the grasp of intensional, generative structure, with perception and relationality as carrier.
Six Names for One Point
Sine, cosine, tangent and the rest are six lengths hanging off a single point walking a circle of radius one. Drag the point and every function of the angle moves together; the waves are just the walk, unrolled.
The Address of Your Photograph
Every image at a given format already has a coordinate. Computing yours takes a moment; finding anything by searching for it is impossible, and almost nothing has a description shorter than itself. An instrument for checking both on your own image.
Where the Names Run Out
A continuous descent through sixty-five powers of ten, from the largest metric prefix down to the Planck length — showing, at every step, how the image at that scale was actually obtained.
The Infinity Cell: Standing Inside a Reflection Group
A mirrored dodecahedron with LED-strip edges, raytraced per-pixel in a single fragment shader — why the cube closes into a perfect lattice and the dodecahedron swirls forever.
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.
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.
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.
Platonic Solids
All five Platonic solids generated from first principles — two seeds, one constant, and the convex hull. Raw WebGL, zero dependencies.
Fluid Dynamics Simulation
Interactive particle-based fluid simulation using double density relaxation, implemented in Rust/WASM with WebGL rendering
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
Visual Learning
Relational maps and intensional definitions. Add precision, watch the possibilities narrow.
Ordinary Language Understanding
A lexicon of 60 mathematical terms, each given its clearest plain-language account and its minimal generative structure — linked by 262 typed edges into a force-directed graph. Every entry carries a hand-drawn visual, a notation glossary, and a constructive-debt ledger marking exactly where classical axioms enter.
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.
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.
