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Mind-Bending Math & GamesGeometry

Only Five Perfect Dice

There are exactly five shapes with identical regular faces

Some dice have every face, edge and corner exactly alike. Why can there only ever be five such shapes, and never a sixth?

You'll find out

  • Which five shapes make perfect dice
  • Why a sixth can never be built
  • What Plato thought they stood for

Why it matters

Dice, game pieces and soccer balls borrow these shapes, and the reason there are only five fits in a single corner.

About 3 min6 interactive slides · 5 questionsLesson 233 · Zone 26

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