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Symmetry Groups Lab

This visualisation uses AI Generated code, finetuned for the best visualisation, not code quality

image

Interactive C + Raylib lab for exploring finite Coxeter and Weyl-style symmetry groups through Dynkin/Coxeter structure, generator actions, orbit geometry, and word-level exploration panels.

What This Visualisation Shows

  • Group-specific page sets for several symmetry families from A1 through E8
  • How generators act on points, words, mirrors, and orbit structures
  • How Dynkin/Coxeter diagrams connect to geometric motion and relations
  • Two linked pages per group for structure, density, and action-spectrum views

Visual Map

flowchart LR
    A["Choose Group"]
    B["Generators + Relations"]
    C["Dynkin / Coxeter View"]
    D["Orbit Geometry"]
    E["Word / Action Explorer"]
    F["Density + Spectrum Views"]

    A --> B
    B --> C
    B --> D
    D --> E
    D --> F
Loading

Controls

  • q: quit
  • 1..9,0: jump between groups
  • h / l: previous or next group
  • j / k: switch between the two pages
  • Mouse drag, wheel, and hover/click interactions drive the active geometry panels

Run

make run

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