Generator
circle-map
A generator in the dynamics library, called 0 times across 0 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.
circle-map 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
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.
- the angle is a number or one of the named constants ×1
- the gaps take at most three distinct values, as the three-distance theorem says ×1
- the number of steps is a whole number between 3 and 120 ×1
- the orbit repeats exactly when the angle is rational ×1