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Pentagons Are Terrible at One Thing

CGP GreyYouTube ↗

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 · From a tiled drawing to a construction that can continue

Caption notes

Grey compares regular polygons on the specific task of covering a plane. The pentagon example depends on the regular shape and what pieces may be repeated. Allowing different pentagons or a mix of shapes changes the tiling problem.

Archived captions (transcription method unspecified) ↗
Original passages · 2
Tiling is covering a surface with a pattern of polygons.
Pentagons Are Terrible at One Thing · ▶ 0:46–0:49
Pentagons are broken hexagons leaving gaps.
Pentagons Are Terrible at One Thing · ▶ 1:09–1:12

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