mathwave

Build a mathwave room that runs CPU physics/simulation each frame and renders real Three.js 3D geometry — N-body, boids, cloth (Verlet), spiking neural nets, Kohonen SOM, L-systems, RL cartpole, double pendulum. PerspectiveCamera + OrbitControls. Template — src/nbody.js.

Build a mathwave room that is a GPU field simulation on swapped float render targets (ping-pong) — reaction-diffusion, wave/ripple equations, Schrödinger wavefunctions, Lattice-Boltzmann fluids, Lenia/neural cellular automata, Physarum. Template — src/reaction.js.

Build a mathwave room that simulates a CPU integer/cell grid and displays it via a DataTexture + fullscreen display shader — Wolfram CA, Abelian sandpile, Hopfield network, Conway-style automata. Template — src/wolfram.js (+ the fullscreen-quad display pattern from src/fractal.js).

Conventions for adding a room to the mathwave Three.js gallery — file layout, the buildless ES-module/import-map setup, kiosk navigation, the shared common.js engine, and the ROOMS registry. Use this first whenever creating or modifying any mathwave room.

Apply the PlayStation-1 rendering aesthetic to a mathwave room — low-res framebuffer + nearest upscale + 4x4 Bayer ordered dither + 15-bit color crunch, plus optional vertex snapping. Reusable module src/ps1.js. Best on rooms with real 3D FORM (fractals), not abstract data clouds.

Build a mathwave room that is a GPU fragment-shader raymarcher/SDF — fractals (mandelbulb, mandelbox, menger, quaternion Julia), volumetrics (nebula), Truchet/metaballs. Single fullscreen quad, all geometry in the fragment shader, custom uCamPos orbit. Template — src/fractal.js.

The verification discipline for mathwave rooms — how to confirm a room ACTUALLY renders before claiming it works, using agent-browser plus window.__err / window.__diag canaries. Critically, node --check and a green fps reading are NOT sufficient. Use before committing any room.