Skip to content
The Magic Theorem
The Magic Theorem

A greatly-expanded, much-abridged edition of The Symmetries of Things

  • Buy This Book!
    • See some art
    • What people are saying
    • Press about The Magic Theorem
  • Do Stuff
    • Things to do with The Magic Theorem
    • Join us for a Symmetry Stroll!
  • Learn More
    • What is the Magic Theorem?
    • The authors
    • Contact us
The Magic Theorem

A greatly-expanded, much-abridged edition of The Symmetries of Things

The fundamentals

stuff to do > things to make > polyhedra > some fundamentals

The surface patterns illustrate internal structure, a fractal froth of dodecahedra.

Four tetrahedra and one icosahedron form a large tet with the icosa inside — and a hidden octahedron!

One has a clockwise twist, the other twists counter-clockwise!

These are quick and easy for a five-minute project. Yet the surface patterns reveal a fractal octet truss in the interior.

The Magic Theorem

Contact us

Errata

Buy this book

©2025 The Magic Theorem