Products with A to return all 2 copies, against the block width

At its defaults it draws products with a to return all 2 copies, against the block width. One bar per block width. Widths below 2 return fewer copies than the eigenvalue has, at every step count up to a basis of half the problem's dimension, and are marked rather than drawn. The cheapest width that works is 2, at 32 products with A; the widest drawn costs 84.

block-width-cost is one function in lib/figures/blocksize.js — how wide the block should be — the multiplicity, and the deflation that never fires. Everything below came out of it during this build, at arguments taken from the essays rather than invented for this page. A figure here is the figure a reader meets in an essay, and if the generator changes, this page changes with it.

One bar per block width. Widths below 2 return fewer copies than the eigenvalue has, at every step count up to a basis of half the problem's dimension, and are marked rather than drawn. The cheapest width that works is 2, at 32 products with A; the widest drawn costs 84.

One bar per block width. Widths below 3 return fewer copies than the eigenvalue has, at every step count up to a basis of half the problem's dimension, and are marked rather than drawn. The cheapest width that works is 3, at 51 products with A; the widest drawn costs 84.

One bar per block width. Widths below 2 return fewer copies than the eigenvalue has, at every step count up to a basis of half the problem's dimension, and are marked rather than drawn. The cheapest width that works is 2, at 32 products with A; the widest drawn costs 84.

One bar per block width. Widths below 1 return fewer copies than the eigenvalue has, at every step count up to a basis of half the problem's dimension, and are marked rather than drawn. The cheapest width that works is 1, at 19 products with A; the widest drawn costs 78.

One bar per block width. Widths below 4 return fewer copies than the eigenvalue has, at every step count up to a basis of half the problem's dimension, and are marked rather than drawn. The cheapest width that works is 4, at 64 products with A; the widest drawn costs 84.

Every figure above checked its own claims on the way to being drawn, and a claim that failed would have stopped the picture rather than shipped a wrong one. Those checks used to leave no trace at all: a passing one returned true and the only evidence the figure had checked anything was that nothing crashed. The list below is what they actually said, collected by running this generator with an observer installed — not a description of what it is believed to check.

8 distinct claims across 5 sets of arguments, grouped below by shape — because most of them are one sentence with a different number in it, and how many separate times that sentence was put to the test is the informative part.

The rule does not apply to it. It factorises nothing, so there is no residual it could be withholding. That is worth stating rather than leaving blank: a site that reported the rule as satisfied by every generator would be counting mostly generators the rule never reached.

Across the library: the rule bites on 217 of 397 generators — 199 print a residual and 18 are exempt with a published reason; 180 factorise nothing. Read from lib/residual-rule.js, which is the same body the gate enforces from, and the gate's last check fails the build if this page and it disagree about any generator.