Generator
ferrers
A generator in the number 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.
ferrers 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: "glaisher"
show: "durfee"
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 partitions of 8 into odd parts and into distinct parts come out equal ×2
- and it is the largest one that fits ×1
- every listed partition adds to the number it partitions ×1
- the conjugate is a partition of the same number ×1
- the number being partitioned is a whole number between 3 and 12 ×1
- the parts are a descending list of whole numbers ×1
- the square, the arm and the leg account for every dot ×1
- there is a Durfee square to draw ×1
- turning the diagram over twice gives it back ×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.