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Why Are Regular Octagons Not Useable to Tile the Plane

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Why are regular octagons not useable to tile the plane?


Definitions:

Tooth Enamel

The hard, outer surface layer of a tooth that protects it from decay.

Gum Recession

A dental condition where the margin of the gum tissue surrounding the teeth wears away, exposing more of the tooth or the tooth's root.

Compulsion

A strong, usually irresistible impulse to perform an act, especially one that is irrational or contrary to one's will.

Major Depression

An emotional health condition marked by ongoing feelings of sadness or a diminished interest in once enjoyable activities, significantly affecting daily living.

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