Challenge

Build Prisms & Antiprisms

Abstract photograph looking upwards at One World Trade Center showing its elongated anti-prismic shape
One World trade Center showing its elongated anti-prismic shape. Photo by Dominik Dvořák at Unsplash

Build pairs of equal polygonal faces connected with squares or triangles.

  • What are prisms and antiprisms? Are they Johnson Solids? How many are there?
  • What symmetries do prisms and antiprisms have?
  • How can you calculate the surface area and volume of a prism? What about an antiprism?
  • How are prisms and bipyramids related?
  • How have prisms been used to study light? What is refraction?
  • How can you combine prisms and antiprisms with cupolas, rotundas and pyramids to create original sculptural forms?
  • How can you write and test an instruction guide for building a specific prism and antiprism pair?

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