Every one of the 4,096 texts of 12 characters, by how many runs its transform has

Every one of the 4,096 texts of 12 characters, by how many runs its transform has

Not a sample: all 2^12 strings over 2 symbols are transformed and their runs counted, so this is the distribution rather than an estimate of it. The transform of a text of 12 characters has 13 positions, counting the sentinel, so the run count runs from 2 to 13. The number of texts with a small run count is what a compressed index's size can be a function of, and it is small: 154 texts have 4 runs or fewer, out of 4,096.

Drawn at 700 × 402, wide on the page. Everything above is what run-floor returns with no arguments; the caption is the generator's own, computed from the numbers in the drawing rather than written beside it.

2 essays call run-floor. The drawing above is what it returns with no arguments at all; every call below passes it something, because a placement that passes nothing draws whichever member of the family the generator happens to default to rather than the one its essay argues about — which is what optcheck and figfill exist to catch.