Generator
cobweb
A generator in the dynamics library, called 7 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.
cobweb 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
show: "orbit"
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 number of steps is a whole number between 2 and 400 ×2
- the parameter is between 0 and 4 ×2
- every corner of the staircase lies on the curve or on the diagonal ×1
- one point drawn per step, and the start ×1
- the map is one this figure knows ×1
- the number of drawn steps is a whole number between 2 and 400 ×1
- the orbit stays inside the unit interval ×1
- the starting point is between 0 and 1 ×1
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.