**Tessalations**

In each angle in a regular shape that tessalates each interior angle is a factor of 360

All quadrilaterals (including iregular ones) tessalate because all of the interior angles add up to 360 degrees so they will always tessalate.

Triangle - each angle is 120 degrees. 120 is a factor of 360. Therefore, regular triangles tessalate.

Pentagon - each angle is 72 degrees. 72 is a factor of 360. Therefore, regular pentagons tessalate.

Hexagon - each angle is 60 degrees. 60 is a factor of 360. Therefore, all regular pentagons tessalate.

Heptagon - each angle is 51 degrees. 51 does not go perfectly into 360. Therefore, all regular heptagons do not tessalate.

Pentagon - each angle is 45 degrees. 45 is a factor of 360. Therefore, all regular pentagons tessalate.

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