Challenge

Build Johnson Solids

Handmade models made by Martin Berman from white card of Johnson Solid polyhedra in the Smithsonian Museum on a blue background.
Models of Johnson Solids by Martin Berman from the Smithsonian Museum collection. From the Smithsonian collection

Build convex polyhedra with regular polygonal faces.

  • What are Johnson Solids and how are they related to Platonic and Archimedean Solids?
  • How many Johnson solids are there? How can you prove there are no more?
  • What is a near-miss Johnson solid? How many are there?
  • What are some ways to systematically name and classify Johnson Solids?
  • What is your favorite shape? What does it remind you of? What sort of character does it have? How does different setting, lighting and view points affect its appearance and personality?

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