#reuleaux triangle

[redwolf]

One of the cool things about geometry is that the same principle can underlie a medieval church window and a design for a weird, Maker Faire-appropriate bicycle wheel. In this adaptation of material from our recent book, Make: Geometry, we’ll show you how the two are related, and how to draw either one at any scale -- via Make:

[yotedragon]

A Reuleaux triangle dog

[skadream]

this is the first thing ive drawn on my ipad in over a month

[phasma-first-order]

[brightandshinylassie]

A rotor is a convex figure that can be rotated inside a polygon (or polyhedron) while always touching every side (or face). The least area rotor in a squareis the Reuleaux triangle.

[spacetchi]

Reuleaux Shapes

[tradeshanty]

The most well-known example of a curve of constant width is a circle, but many other constructions are known. Any triangle can also be used to construct such a curve, and the simplest example of this is the Reuleaux triangle, often used in machinery to convert rotational motion to reciprocating motion.

Image: Wikipedia

[lornaimwilson]

Circles