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Tiling a Room Irrationally


	Numbers can be well approximated by numbers of the form , where and are integers and is irrational. This property can be used to tile a room almost perfectly, with just three tile sizes, and with no need to cut any tiles.


	Contributed by: Ed Pegg Jr
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E. Pegg Jr and A. Fisher, "Tessellation Set", US Patent 6309716.

The numbers are Euler's number

, the golden ratio

, Pythagoras's number

, Khinchin's constant

, Euler gamma

, Glaisher's constant

, Catalan's number

, and

Contributed by: Ed Pegg Jr

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