#

##
Reuleaux Triangles

- 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
also discussion
on Metafilter.

- constant-width
shapes and
Reuleaux
triangle from Eric Weisstein's treasure trove.

- Geometry
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.

- Reuleaux
triangle entry from
Kunkel's mathematics
lessons.

- Reuleaux
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
parallel lines.

- Square wheels.
Bill Beatty describes how to make cubical-looking shapes that are round
enough to roll smoothly on an axle.

- Star
construction of shapes of constant width, animated in Java by A. Bogomolny.

From the Geometry Junkyard,
computational
and recreational geometry pointers.

Send email if you
know of an appropriate page not listed here.

David Eppstein,
Theory Group,
ICS,
UC Irvine.

Semi-automatically
filtered
from a common source file.