- Applications of shapes of constant width.
A Reuleaux triangle doesn't quite drill out a square hole (it leaves
rounded corners) but a different and less-symmetric constant-width shape
based on an isosceles right triangle can be used to do so. This web page
also discusses coin design, cams, and rotary engines, all based on
curves of constant width; see
triangle from Eric Weisstein's treasure trove.
forum discussion on the Reuleux triangle and its ability to drill
out (most of) a square hole.
- A magic geometric constant optimized by the Reuleaux triangle.
- Number patterns,
curves, and topology, J. Britton.
Includes sections on the golden ratio, conics, Moiré patterns,
Reuleaux triangles, spirograph curves, fractals, and flexagons.
triangle entry from
Wheel. From Mudd Math Fun Facts.
- Rolling with Reuleaux from Ivars Peterson's MathLand.
- Shapes of constant width.
- Sketchpad demo includes a Reuleaux triangle rolling between two
- Square wheels.
Bill Beatty describes how to make cubical-looking shapes that are round
enough to roll smoothly on an axle.
construction of shapes of constant width, animated in Java by A. Bogomolny.
From the Geometry Junkyard,
and recreational geometry pointers.
Send email if you
know of an appropriate page not listed here.
from a common source file.