WOLFRAM|DEMONSTRATIONS PROJECT

Nowhere-Neat Squaring the Square

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board
11×11
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tiles
0
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autofill 1x1
colors
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none
numbers
sizes
numbers
small
large
outline
none
thin
thick
check
off
nowhere-neat
no-touch
To delete a tile, click it.
solution
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The goal is to completely tile a large square area with smaller squares such that no two tiles have a side in common ("nowhere-neat tiling").
A similar goal is to tile the large square with smaller squares such that no two tiles of the same size share any part of a side (apart from a vertex). This is called a "no-touch" tiling. Note that no-touch implies nowhere-neat.