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Mathematics 15 Online
OpenStudy (anonymous):

can regular heptagons tessellate?

OpenStudy (unklerhaukus):

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OpenStudy (anonymous):

@thechocoluver445 that is incorrect, sorry. They asked about a heptagon (7 sides), not a hexagon (6-sides). Reasoning: There are 7 sides and 7 angles in a heptagon, each of equal length or angle respectively. Fact: The interior angle sum of a heptagon is 900°. Each interior angle (and they're all equal in a regular heptagon) is (900/7)°. In order to tessellate on a 2D plane (no deformation allowed) it needs to be a factor of 360°. 900/7 is not a factor of 360. Therefore, the answer is no. Make sense?

OpenStudy (unklerhaukus):

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