Generator

complex-set

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.

complex-set 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

The Mandelbrot setPoints of the complex plane shaded by how long the iteration takes to escape, with the set itself the innermost region.every c for which the orbit of zero stays bounded, contoured by how long the rest take to escapethe boundary is where the two behaviours meet, and no amount of zoom makes it simple

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 whole library · What the figures prove