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Visual Experiences

Browser-based screensavers, simulations, tilings, and geometric art. Everything runs in a browser — no install needed.

GitHub Pages base: https://raggedr.github.io/reaction-diffusion-screensaver/


1. Music-Reactive Screensavers

GPU-accelerated simulations that detect tempo from your microphone and respond to the beat. Click to start, grant mic access. They also run autonomously without a mic.

Screensaver Link Description
Reaction-Diffusion Live Gray-Scott maze patterns on GPU. Expanding ripple waves clear and regrow the maze on each beat. Colours drift through greens, teals, blues, purples.
Fluid Dynamics Live 2D Navier-Stokes with Kelvin-Helmholtz instability. Beats inject vortex dipoles at shear boundaries — like a lava lamp that dances to music.

Files: index.html, fluid.html, src/
Stack: Three.js, WebGL ping-pong framebuffers, GLSL shaders, Web Audio API FFT


2. Geometric Hallucinations (DMT)

Recursive geometry producing form constants — the universal visual hallucination patterns described by Bressloff et al. (2001). Spirals, tunnels, and vortices from pure straight lines.

Visualization Link Description
DMT Tunnel Live Four spiral vortices in a 2x2 grid — 80 nested squares, 3.5deg rotation per step, cosine-eased 20s loop. Pinwheel symmetry from alternating CW/CCW rotation.
Zentangle Paradox (animated) Live Nested triangles create logarithmic spirals from straight lines only. Time-varying rotation makes spiral cores wind and unwind while the grid stays rigid.
Zentangle Paradox (static) Live The classic pen-and-ink technique: ~50 iterations of vertex advancement along edges produce the illusion of smooth curves.
3D DMT Development version with parameter comments (dmt/dmt_3d.html).
Hexagons Hexagonal variant (dmt/hexagon.html).

Files: dmt/
Background: These patterns relate to Turing-type instabilities in V1 neural field equations — the symmetry group is determined by the Euclidean symmetry of cortical connection architecture.

Zentangle Paradox


3. Penrose Tilings

Aperiodic tilings — both correct P2/P3 constructions and deliberate "wrong" variants that reveal beautiful star-shaped voids.

Screensavers (automated)

Screensaver Link Description
Substitution Tiling Live Cycles through 8 metallic palettes and 3 seed configurations. Sweeps a perturbed deflation ratio back and forth — "wrong" Penrose tilings with star voids. Beveled 3D rendering.
Random Penrose Live Auto-cycling P2 tiling with palette transitions and opacity cross-fade.
De Bruijn Pentagrid Live P3 rhombus tiling via dual pentagrid construction. Palettes cycle automatically.

Interactive Tools

Tool Link Description
Interactive Substitution Live Same renderer as the screensaver with a control panel (press P) for manual parameter exploration.
Penrose Deflation Live Correct P2 kite-dart Robinson triangle deflation, step by step. Multiple colour palettes.
Tile Placement Live Drag-and-drop kite and dart tiles with snap-to-fit at matching edges.
Penrose Puzzle Live Jigsaw: tiles removed from a tiling, drag them back into the holes. Scroll/R to rotate, N for new puzzle.
Phason Flips (Pentagrid) Live Research tool: find and execute phason flips on P3 tilings. Hover to highlight, click to flip, Z to undo.
Phason Flips (Deflation) Live Same interaction on P2 kite-dart tilings via Robinson triangles.
Kite Decomposition Live 2x2 panel showing kite decomposition geometry.

Utilities

  • penrose-linkedin.html — Static Penrose banner generator for LinkedIn
  • flip_graph.py, find_flips.py, verify_flips.py — Python research tools for flip graph analysis
  • enumerate_patches.py — Penrose patch enumeration

Files: Root directory (*.html) + Python scripts


4. Mazes

Spanning-tree mazes with real-time restructuring.

Maze Link Description
Tree Surgery Live Click any cell to sever its subtree and regrow it. Supports DFS, Wilson's, Kruskal's, and Prim's algorithms.
Knotted Maze Live Fullscreen animated screensaver. Some cells become crossings where two strands pass through each other. Periodic tree surgery keeps it evolving.

Rust CLI (mazegen-rs)

Separate tool in mazes/mazegen-rs/ — generates, solves, analyses, and evolves mazes. Five algorithms, SVG export with distance heatmaps, GA with edge-swap mutation, NSGA-II multi-objective evolution.

Files: mazes/


Related Repos

Other visual/simulation repos in the collection:

Repo Description
reaction-diffusion-playground Interactive Gray-Scott playground (fork of Jason Webb's original). MIDI-controllable feed/kill parameters.
smoke-flow Real-time GPU smoke — laminar-to-turbulent transition via Navier-Stokes.
fluid-dynamics GA-evolved 2D Navier-Stokes vortex patterns — fitness = Shannon entropy of vorticity.
knots 3D cord physics (Verlet + mass-spring) — random agitation leads to spontaneous tangling.
belt-trick Interactive 3D Dirac belt trick — why spinors need 720deg (SU(2) contraction).
burgers 2D Burgers equation on GPU with GA evolving shock parameters.

Quick Start

npm install
npm run dev
  • Reaction-Diffusion: http://localhost:5173
  • Fluid Dynamics: http://localhost:5173/fluid.html
  • DMT Tunnel: http://localhost:5173/dmt/dmt-tunnel.html
  • Zentangle: http://localhost:5173/dmt/zentangle-animated.html
  • Tree Surgery Maze: http://localhost:5173/mazes/interactive.html

The DMT/Zentangle and Penrose files are standalone HTML — open directly in a browser, no build step needed.

Tech Stack

Layer Tech
Build Vite + vite-plugin-glsl
Rendering (screensavers) Three.js, WebGL ping-pong framebuffers
Physics GLSL: Gray-Scott, Navier-Stokes
Tilings & geometry Canvas 2D, standalone HTML
Audio Web Audio API FFT, custom tempo detection
Mazes (CLI) Rust, SVG output

Credits

  • Gray-Scott shaders adapted from reaction-diffusion-playground by Jason Webb
  • DMT geometric hallucination patterns relate to Bressloff, Cowan, Golubitsky, Thomas & Wiener (2001, 2002) on form constants and V1 cortical symmetry

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