Challenge

Build Rings & Toroids

Hand drawn graphic from the book Adventures Among the Toroids showing a Stewart Torus on an black, red, and beige background.
From the cover of the book "Adventures Among the Toroids: A Study of Quasiconvex, Aplanar, Tunneled Orientable Polyhedra of Positive Genus Having Regular Faces with Disjoint Interiors" by Bonnie Stewart first published in 1970. Self published by Bonnie Stewart and University of Michigan

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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