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There are only three regular polygons which with tile. These a re a triangle, quadrilateral (square) and hexagon.

This is because if there are n tiles meeting at a point, then the sum of the angles around that point must be 360 degrees - otherwise the polygons will overlap. The only regular polygons with interior angles that are factors of 360 are the ones mentioned above.

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∙ 11y ago

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How can you tell if a polygon will tile plane?

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