A Problem Squared

024 = Pumpkin Bores and Bumps 'n' Doors

Oct 31, 2021
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ANECDOTE

Math City Bubble And Platform Zero

  • Matt visited Math City in Leeds and made a bubble big enough to enclose himself.
  • He also photographed himself on the newly opened platform zero as a quirky tradition.
ANECDOTE

Pumpkin Through Pumpkin Trick

  • Matt experimentally carved a diagonal tunnel through a pumpkin so one same-size pumpkin could pass through another.
  • He used photos and careful orientation to cut a band-shaped hole bigger than the original pumpkin's apparent size.
INSIGHT

Orientation Changes Cross-Section Size

  • The smallest and largest cross-sections of an object differ with orientation, letting a shape pass through a seemingly smaller hole.
  • This geometric fact underlies Prince Rupert's Cube and enables surprising 'hole bigger than object' constructions.
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