hole-packing is one function. Everything below was drawn by it when the site was
last published, at settings 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 when the generator changes, this
page changes with it.
With nothing specified
A holed sheet against a solid one of the same area The longest flap a seeded search could pack onto a square with a hole in it, against the same search on a solid square holding the same amount of paper. The bar is the difference as a percentage; it is a comparison of two searches at one budget and not of two optima. the bar is how much longer a flap the holed sheet carries both sheets hold the same area of paper, so this is about arrangement 2 flaps 4.20% 0.7213 against 0.6923 3 flaps 2.00% 0.5165 against 0.5063 4 flaps 2.09% 0.4983 against 0.4881 5 flaps -0.27% 0.3164 against 0.3173 6 flaps 1.07% 0.2907 against 0.2876 7 flaps 1.30% 0.2540 against 0.2507 8 flaps 0.73% 0.2386 against 0.2369 a bar to the left is the search doing worse on the holed sheet, which is a search result rather than a finding
view: "pair"Two flaps either side of a hole reach further Two flap tips a fixed distance apart, on sheets with a slot of increasing width between them. On solid paper each flap stops when the two discs meet; across a hole they may overlap, because everything they share is not paper. two tips 0.6 of a sheet width apart the bar is how long a flap each can carry solid paper 0.300 the discs meet halfway a slot 0.1 wide 0.357 19% further than solid paper a slot 0.2 wide 0.404 35% further than solid paper a slot 0.3 wide 0.466 55% further than solid paper a slot 0.4 wide 0.500 67% further than solid paper a slot 0.5 wide 0.551 84% further than solid paper the tips do not move; only the paper between them does
view: "against"A holed sheet against a solid one of the same area The longest flap a seeded search could pack onto a square with a hole in it, against the same search on a solid square holding the same amount of paper. The bar is the difference as a percentage; it is a comparison of two searches at one budget and not of two optima. the bar is how much longer a flap the holed sheet carries both sheets hold the same area of paper, so this is about arrangement 2 flaps 4.20% 0.7213 against 0.6923 3 flaps 2.00% 0.5165 against 0.5063 4 flaps 2.09% 0.4983 against 0.4881 5 flaps -0.27% 0.3164 against 0.3173 6 flaps 1.07% 0.2907 against 0.2876 7 flaps 1.30% 0.2540 against 0.2507 8 flaps 0.73% 0.2386 against 0.2369 a bar to the left is the search doing worse on the holed sheet, which is a search result rather than a finding
view: "pair", widths: [0.05, 0.15, 0.25, 0.35, 0.45, 0.55]Two flaps either side of a hole reach further Two flap tips a fixed distance apart, on sheets with a slot of increasing width between them. On solid paper each flap stops when the two discs meet; across a hole they may overlap, because everything they share is not paper. two tips 0.6 of a sheet width apart the bar is how long a flap each can carry solid paper 0.300 the discs meet halfway a slot 0.05 wide 0.325 8% further than solid paper a slot 0.15 wide 0.384 28% further than solid paper a slot 0.25 wide 0.441 47% further than solid paper a slot 0.35 wide 0.484 61% further than solid paper a slot 0.45 wide 0.541 80% further than solid paper a slot 0.55 wide 0.551 84% further than solid paper the tips do not move; only the paper between them does
What it checked while it drew
Collected while it drew, not written by hand.
The count is how many separate times that claim was put to the test.
two flaps 0.6 of a sheet width apart reach 0.300 on solid paper and 0.551 across a hole 0.5 wide ×2
the holed sheet packs a longer flap at 6 of the 7 counts searched ×1
the two sheets have the same area, so the comparison is about arrangement rather than about how much paper there is ×1
Where it is called
Every figure listed here is drawn by the same rule, so a mistake in the rule would be in all
of them at once, and so would a correction.
All the figures ·
The designing a base field ·
The patterns a reader can fold