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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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Earn +20 ptsQ: Will a regular polygon tile
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Continue Learning about Math & Arithmetic
How can you tell if a polygon will tile plane?
A regular polygon will tile it if its internal angle divides 360 degrees.
Can a regular polygon always tile the plane?
Not always
Is there a regular polygon with more then 6 sides that will fit in a tile plane?
Not by itself.
Is it possible to tile a floor with copies of a regular polygon?
Yes, but only with some polygons.
Is a hexagon a regular polygon or not a regular polygon?
A 6 sided hexagon polygon can be regular or irregular.
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