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
  • [x] Solid to STL
  • [x] Geometry to OpenSCAD
  • [ ] Picture to SVG
  • [ ] Share link
• Polyhedra
  • [ ] Bigger library of seeds
    • [x] Platonic solids
    • [x] Arhimedean solids
    • [x] 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.