Reuleaux Triangle - Reuleaux Polygons

Reuleaux Polygons

The Reuleaux triangle can be generalized to regular polygons with an odd number of sides, yielding a Reuleaux polygon. The most commonly used of these is the Reuleaux heptagon, which is the shape of several coins:

  • Botswana pula coins in the denominations of 2 pula, 1 pula, 25 thebe and 5 thebe.
  • Cypriot 50-cent coin, from 1991 until Cyprus joined the Euro in 2008.
  • Jordanian quarter-dinar and half-dinar coins.
  • Mauritian 10-rupee coin.
  • British 20-pence and 50-pence coins.

The constant width of such coins allows their use in coin-operated machines.

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