Two things called folding, and only one of them has a local test
two-counts is one function. Everything below came out of it during this
build, at arguments 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.
At its defaults
chainStates: 3, upTo: 10, sectors: [40, 110, 140, 70]
chainStates: 3, upTo: 10
chainStates: 3, upTo: 8
What it checked while it drew
Collected by running this generator with a listener on the assertions, not written here. The count is how many separate times this build put that claim to the test.
- at 10 units the chain has 59,049 configurations against the sheet's 1,024 ×3
- 4 of the 16 assignments at this vertex fold flat — a filter of 25%, computed by the site's own enumerator ×1
- at 10 units the chain has 1,048,576 configurations against the sheet's 1,024 ×1
- the worked vertex is developable — its sectors sum to 360° ×1
Where it is called
Changing this generator changes every figure on this list, which is what makes the list worth publishing rather than keeping in a check script.
Two ceilings
A DNA origami is limited by the length of one viral strand and by whether its helices can be visited once each in a single pass. Grown one step at a time, a square block runs into the first at a hundred helices and a plus runs into the second at five — so which limit a shape meets is decided by the shape and not by the chemistry.
Two things called folding
A protein folds and a sheet folds, and the word is the same word by accident. Both have exponentially many states and that is not the difference. The difference is that one of them can be filtered by four conditions checked at a single point, and the other cannot be filtered by anything local at all.
Every generator · The folding nobody designed field · The patterns a reader can fold