Generator

folding-a-sum

Every excluded cut's displacements added twice: the open mark is the raw total in degrees and the filled mark is the same total folded into half a turn either way. The two agree everywhere but one row, and on that row the raw total is the largest in the table at about minus a whole turn while the folded total is the smallest. Reading the sums raw would have named the one closed cycle here as the worst anomaly in the census.

The same sums read raw and read folded. Every excluded cut's displacements added twice: the open mark is the raw total in degrees and the filled mark is the same total folded into half a turn either way. The two agree everywhere but one row, and on that row the raw total is the largest in the table at about minus a whole turn while the folded total is the smallest. Reading the sums raw would have named the one closed cycle here as the worst anomaly in the census.

Drawn at its defaults, in the rows the exchange set aside. It takes no options at all, so every essay calling it gets this exact drawing.

Called by 2 essays

the blast radius of changing it

What a plant might be doing

A cycle sums to a whole turn

The test proposed for whether three displaced chains are a three-cycle was that their displacements sum to zero. Three chains rotating into one another's places each move about a third of a turn the same way round, and a third of a turn three times is a whole turn — which the unfolded test calls the worst row in the census.

What a plant might be doing

The rows nobody added up

Seventeen of the census's thirty wrecked cuts come back as one balanced pair of displaced chains, and every claim about the exchange is quantified over those seventeen. The other thirteen were set aside as having three or more exceptions and never looked at again. They are one addition each.

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