Challenge

Build Rings & Toroids

From the cover of the book Adventures Among the Toroids
From the cover of the book Adventures Among the Toroids

Build shapes with holes in the middle like a donut.

  • What is a torus? What is the simplest one with regular polygonal faces you can make?
  • Who are Bonnie Stewart and Felix Klein? What shapes did they study?
  • What is Conway's toroidal deltahedron?
  • What is toroidal genus? How does Euler's equation apply to toroidal polyhedra?
  • What is a toroidal graph?
  • Where do toroidal forms appear in nature and technology?
  • How can you combine other materials to create necklaces, bracelets, hats, or other wearables?

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