Build Archimedean Solids

Archimedean solids from Augustin Hirschvogel's Geometria dated 1543
Archimedean solids from Augustin Hirschvogel's Geometria dated 1543

Build regular convex polyhedra with faces that are regular polygons.

  • What does vertex-transitive mean? How many Archimedean solids are there? How do you know there are no more?
  • Who are Archimedes, Johannes Kepler, and John Conway? How did they name and document these shapes?
  • What rule defines the relationship between faces, vertices and edges for these shapes? Does the rule apply to all polyhedra?
  • Which Archimedean Solid model a Carbon allotrope?
  • How can you depict 3D shapes in 2 dimensions? For each method, what information is lost?

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