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Interactive polyhedra explorer with animated transformations

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Polyhedra Explorer

🚧 Work in process.

Interactive polyhedra explorer with animated transformations. This project is focused on regular convex polyhedra and derivation of larger polyhedra via Conway polyhedron notation. All transformations are symmetry-preserving and all resulting elements (faces, edges, vertices) are grouped into rotation orbits and are colored by default with respect to them.

Prototype is deployed at http://polyhedron.me

Building & running

gradlew jsBrowserDevelopmentRun 

Roadmap / TODO

  • UI/UX
    • Animate seed changes with fly in/out
    • Better progress bar display
    • Show/kind faces by kind with point and click on the polyhedron
    • Mark experimental features in UI
    • Better slider UI on mobile devices
  • Export/Share
    • Solid to STL
    • Geometry to OpenSCAD
    • Picture to SVG
    • Share link
  • Polyhedra
    • Bigger library of seeds
      • Platonic solids
      • Arhimedean solids
      • Catalan solids
      • Infinite families of prisms/antiprisms
      • Johnson solids
    • Identify names of well-know polyhedra
  • Rendering
    • Render nicer edges and vertices
    • Render better-looking (physical) materials
    • Custom faces coloring: by orbit with reflections, by geometry, by size
    • Nicer-looking transparent views (only transparent front)
  • Polyhedron info
    • Show edge geometry (two faces)
    • Show face areas
    • Sort by selected column (kind/distance/length/area)
  • Transformations
    • Redesign truncation algorithm so that it always works
    • Rectification solution for non-regular polyhedra
    • Stellation
    • Better canonical algorithm
    • Long-term caching of canonical geometry keyed by topology
    • Improve transformation performance
  • Custom transformations
    • Truncate specific vertices
    • Cantellate specific edges
    • Augment specific faces
    • Improve dropping of selected vertices/faces/edges
  • Infrastructure
    • Embed CSS into WebPack
    • Drop gl-matrix
    • Switch from React to Compose
    • Benchmarking
    • Software gl impl: render polyhedra picture by params on backend

License

Copyright 2021 Roman Elizarov. Use of this source code is governed by the Apache 2.0 license.

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