Generator

reuleaux

A generator in the geometry library, called 6 times across 1 essays. Below: what it draws at its defaults and at each mode an essay asks for, what it checks while drawing, and everywhere it is used.

reuleaux is one function. Everything below came out of it during this build, at parameters taken from the essays rather than invented for this page — so a figure here is the same figure a reader meets in an essay, and if the generator changes, this page changes with it.

At its defaults

A Reuleaux triangleA curve of constant width on 3 vertices, with 6 pairs of parallel supporting lines drawn across it. Every pair is 180.1 apart.width 180.1at every angle

show: "rolling"

Rolling without risingA Reuleaux triangle at 5 rotations, between a ground line and a plank. The plank stays level because the width never changes.the plank does not move

show: "family"

Constant width is not a property of the circleReuleaux polygons on three, five and seven vertices beside a circle of the same width. All four measure the same in every direction, and only one of them is round.3 vertices5 vertices7 verticescircle

What it checks while it draws

Collected by running the family and listening to lib/verify.js, not written here. The count is how many separate times this build put that claim to the test.

Where it is called

Changing this generator changes every figure on this list. That is what makes the list worth publishing rather than keeping in a check script.

The whole library · What the figures prove