Customizable Reuleaux Solids

thingiverse

Customizable Reuleaux Triangle, Tetrahedron and Solid of Revolution. The picture showcases a standard Reuleaux triangle put to use as a keyring. You can personalize features such as size, side thickness, height, etc. The Reuleaux triangle stands out as the simplest shape of constant width after the circle. Its diameter remains consistent, yet its radius is not - these distinctive properties make it suitable for applications like drill bits (to cut square holes) and rotary engines. In contrast, the Reuleaux tetrahedron falls short of being of constant width, although it comes close. Revolving the triangle around its midpoint yields an acorn-shaped solid of revolution that also boasts a constant width.