First Shape Found That Can’t Pass Through Itself
A geometry problem that originated with a royal bet has been solved after more than three centuries.
Imagine holding two equal-size dice, and consider if it's possible to bore a tunnel through one die that's big enough for the other to slide through.
Perhaps your instinct is to say “Surely not!”
This problem originated in the late 1600s with a bet between an unidentified person and Prince Rupert of the Rhine.
Mathematician John Wallis proved that drilling a straight tunnel in the direction of one of the cube’s inner diagonals can make it wide enough to allow another cube through.
Author's summary: Geometry problem solved after 300 years.
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