Challenge

Build Deltahedra

Joyce Jacobson Kaufman working on a molecular model
Joyce Jacobson Kaufman working on a molecular model

Build polyhedra where every face is an equilateral triangle.

  • How many strictly convex deltahedra are there? How can you prove that?
  • How many ways can you connect 2, 3, 4, and 5 tetrahedra?
  • What is the simplest chiral polyhedron?
  • How many 10-faced deltahedra are there? How many with 7 vertices?
  • What is a net? What other ways can you depict deltahedra in 2 dimensions?
  • What is a Boerdijk–Coxeter Helix? What symmetries does it have?
  • How could you write and test instructions for building a specific deltahedron?

For answers, notes, and supporting materials, enter your license code.

Enter Premium License

Pinned images from our dedicated Pinterest board.