Challenge

Build Pyramids & Bipyramids

Gwen Fisher and Paul Brown's pyramid at the Burning Man Festival, Nevada
Gwen Fisher and Paul Brown's pyramid at the Burning Man Festival, Nevada

Build shapes with polygonal bases and triangular sides converging at a point.

  • What is a pyramid? How can you calculate the surface area and volume of a pyramid?
  • What are bipyramids? How many regular bipyramids are there? How do they differ from pyramids?
  • How are bipyramids and prisms related?
  • What is a Sierpiński pyramid? What symmetries does it have? What is a fractal?
  • What ancient civilizations built large pyramid structures? What were they for? How are they similar and different?
  • How has the pyramid become a universal symbol in social, cultural, and scientific contexts?

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