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How An Infinite Hotel Ran Out Of Room

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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 · From a tiled drawing to a construction that can continue

Caption notes

Doubling each guest’s room number frees rooms in an infinite hotel. Infinite strings present a different problem: changing one diagonal letter per row of a proposed list constructs a string differing from every row.

Archived captions (transcription method unspecified) ↗
Original passages · 2
move to the room with double their room number.
How An Infinite Hotel Ran Out Of Room · ▶ 1:27–1:30
The letter on the diagonal.
How An Infinite Hotel Ran Out Of Room · ▶ 5:03–5:04

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