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Q: Can a regular pentagon be used to tile a floor?

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it can in accompaniment with squares.

A pentagon has 5 sides.A regular pentagon has no right angles (5 interior angles each 108 degrees).An irregular pentagon can have at most 3 right angles, because a 4th would leave 180 degrees to be used for the final angle (540-360), which is a straight line.

it can tessellate * * * * * NO IT CANNOT! A regular polygon can be used to create a regular tesselation if and only if its interior angle divides 360 degrees. The interior angle of a regular pentagon is 108 degrees, which does not divide 360 degrees so it cannot be used for a regular tesselation. . Three pentagons meeting at a point would cover 3*108 = 324 degrees - not enough to cover the 360 degrees at a point. Meanwhile 4 pentagons would cover 4*108 = 432 degrees - resulting in a 72 degree overlap.

A pentagon has 5 sides.A regular pentagon has no right angles (5 interior angles each 108 degrees).An irregular pentagon can have at most 3 right angles, because a 4th would leave 180 degrees to be used for the final angle (540-360), which is a straight line.

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it can in accompaniment with squares.

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