Origami & Folding
what one sheet can do
Generator

The name is not the date — the attribution table generator

A generator in the who found it, and when library, called 13 times across 4 essays. Below: what it draws with nothing specified and with the settings the essays give it, what it checked while drawing, and everywhere it is used.

attribution-table 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

The name is not the dateSix results, each drawn from the year of the earliest proof anybody can point at to the year of the publication its name comes from. Nobody was robbed — a field with no journal rediscovers things — but a reader who takes the name for the date acquires a history that is decades too late, every time.the alternating-angle conditionHusimi, 1979Kawasaki, 198910 yrmountains minus valleys is twoHusimi and Maekawa, 1979Justin, 19867 yrthe big-little-big lemmaJustin, 1986the lemma, 19948 yrone fold solves a cubicBeloch, 1936Huzita, 199155 yrthe diamond buckling patternYoshimura, 1951Yoshimura, 196918 yrthe bi-directional foldMiura, 1970Miura-ori, 199525 yr1940196019802000mean lag 21 years · longest 55proof

results: [[object Object], [object Object], [object Object], [object Object], [object Object], [object Object]]

The name is not the dateSix results, each drawn from the year of the earliest proof anybody can point at to the year of the publication its name comes from. Nobody was robbed — a field with no journal rediscovers things — but a reader who takes the name for the date acquires a history that is decades too late, every time.the alternating-angle conditionHusimi, 1979Kawasaki, 198910 yrmountains minus valleys is twoHusimi and Maekawa, 1979Justin, 19867 yrthe big-little-big lemmaJustin, 1986the lemma, 19948 yrone fold solves a cubicBeloch, 1936Huzita, 199155 yrthe diamond buckling patternYoshimura, 1951Yoshimura, 196918 yrthe bi-directional foldMiura, 1970Miura-ori, 199525 yr1940196019802000mean lag 21 years · longest 55proof

results: [[object Object], [object Object], [object Object]]

The name is not the dateSix results, each drawn from the year of the earliest proof anybody can point at to the year of the publication its name comes from. Nobody was robbed — a field with no journal rediscovers things — but a reader who takes the name for the date acquires a history that is decades too late, every time.the alternating-angle conditionHusimi, 1979Kawasaki, 198910 yrmountains minus valleys is twoHusimi and Maekawa, 1979Justin, 19867 yrthe big-little-big lemmaJustin, 1986the lemma, 19948 yr19802000mean lag 8 years · longest 10proof

results: [[object Object], [object Object], [object Object]]

The name is not the dateSix results, each drawn from the year of the earliest proof anybody can point at to the year of the publication its name comes from. Nobody was robbed — a field with no journal rediscovers things — but a reader who takes the name for the date acquires a history that is decades too late, every time.one fold solves a cubicBeloch, 1936Huzita, 199155 yrthe diamond buckling patternYoshimura, 1951Yoshimura, 196918 yrthe bi-directional foldMiura, 1970Miura-ori, 199525 yr1940196019802000mean lag 33 years · longest 55proof

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.

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.

A file has no paper

The field's interchange format is three arrays — where the vertices are, which pairs of them an edge joins, and a letter for each edge — and that is exactly the object every computation on a crease pattern starts from. A list of edges cannot say that two of them must not cross, because crossing is a property of the drawing and the list has no drawing in it. So a pattern that no paper could carry is a perfectly well-formed file, and four of this collection's own were.

The name is not the date

Kawasaki's theorem is in Husimi's book ten years before Kawasaki's paper. Maekawa's is Justin's too. The mean gap between a result in this field and the name it is known by is twenty-two years, and it runs in one direction.

The patterns nobody owns

This site prints crease patterns at true scale and prints no designer's work, and that has always been stated as a rule applied at the end. Read the printed shelf as a documentary record instead and the rule turns out to be a property of the record: every pattern that carries a date was published as mathematics, every undated one belongs to nobody, and the two silences are one silence.

Two kinds of claim

This site has published a median overrun of two centuries and a mean of twenty-two years in the opposite direction, and both are right. Split the record by what each claim is about and the reason appears: every claim about a practice is dated earlier than its evidence, most claims about a result are dated later, and the two scatter by 979 years and 131.

All the figures · The who found it, and when field · The patterns a reader can fold