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Earn +20 ptsQ: Which regular polygons will not tile a surface?
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Which regular polygons will fit together to tile a flat surface?
Triangles, squares and hexagons. That is if they all have to be the same. If you use different regular polygons, you can tile a flat surface with triangles and 12-sides or with squares and 8-sides for example.
What regular polygons can not be use to tile a floor by itself?
Bone
Can a regular tessellation use four different regular polygons to cover a surface?
No. Four regular polygons cannot be combined for this purpose.
Is it possible to tile a floor with copies of a regular polygon?
Yes, but only with some polygons.
Will a regular polygon tile?
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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