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Who cares about topology? (Old version)

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Further reading 1

When does a pattern in a picture become a proof? →A tiling suggests a conjecture, a new encoding turns rectangles into collisions, and a plotting rule creates spirals before primes even enter the picture. What work does each picture actually do?This video helps answer · Which relationship must survive a change of picture?

Caption notes

Encode a pair on a closed curve by its midpoint and separation. A collision between distinct pairs supplies two equal diagonals with the same midpoint, the data needed for a rectangle.

Video or transcript source ↗
Original passages · 2
the midpoint of A and C is the same as the midpoint of B and D
Who cares about topology? (Old version) · ▶ 2:47–2:55
exactly d units above that midpoint m
Who cares about topology? (Old version) · ▶ 4:06–4:11

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