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Earn +20 ptsQ: What of the following combinations will tile a flat surface?
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Can a octagon tile a flat surface alone?
A regular octagon cannot tile a flat surface, it needs squares as fillers. An irregular octagon can tile a flat surface alone.
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.
Which regular polygons will not tile a surface?
An [equilateral] triangle, square and hexagon are the only regular polygons which, by themselves, will tile a surface.
Can copies of a decagon be used to tile a surface?
Yep. ^.^
Can you tile a surface with a regular hexagon?
Yes you can. Envision a beehive - it is made of regular hexagons.
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