Exploring the Geometric Elegance of the Reuleaux Triangle: Constant Width in Engineering and Mathematics

Look at the Bike. The shape of the guitar picks.

A bike with wheels shaped like a Reuleaux triangle, the simplest and best-known curve of constant width other than the circle

The Reuleaux triangle is a geometric shape with a distinctive and intriguing property — it is not a circle, but it has a constant width.

This means that no matter how the Reuleaux triangle is rotated or oriented, its width remains the same at any given point.

This unique characteristic differentiates it from traditional shapes like squares, rectangles, or circles.

The Reuleaux triangle has found its way into architectural realms.

Reuleaux triangle-shaped window of the Church of Our Lady, Bruges in Belgium.