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Shapes tessellate to fit around an interior angle. They also tessellate because they are regular polygons; non-regular polygons cannot tessellate.

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Not correct.

All triangles and quadrilaterals will tessellate, whether regular or irregular. Contrary to the above answer, a regular pentagon will not tessellate but there are 14 different irregular pentagons which will tessellate (the last was discovered in 2015). Three convex hexagons will do so as well.

No polygon of 7 or more sides will tessellate - whether they are regular (contrary to the above answer) or irregular.

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โˆ™ 2016-11-20 19:46:41
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Q: Why do shapes tessellate?
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