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An [equilateral] triangle, square and hexagon are the only regular polygons which, by themselves, will tile a surface.

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Q: Which regular polygons will not tile a surface?
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Related questions

What regular polygons can not tile a surface?

Regular polygons with 5, 7 or more sides.


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


What are all the regular polygons that tile?

The only ones are equilateral triangles, squares and regular hexagons.


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.


A regular tessellation is a tessellation which uses regular polygons to cover a surface completely?

one


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 polygons will tile the plane?

If it's interior angle is a factor of 360 then it will tessellate such as a square, a regular hexagon and an equilateral triangle.


Can you tile a surface with a regular hexagon?

Yes you can. Envision a beehive - it is made of regular hexagons.


What are polygons that are regular polygons?

regular polygons are the ones that all sides are equal