I think it's only 3: triangle, square and hexagon.
If it also covers a surface without overlap, then it is a regular tessellation.
An [equilateral] triangle, square and hexagon are the only regular polygons which, by themselves, will tile a 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.
No. The interior angle of a regular pentagon is 108 degrees, the interior angle of a regular hexagon is 120 degrees. So, at the vertex, the three polygons will have angles adding up to 108+120+120 = 348 degrees. To tessellate, or cover the surface, they must add to 360 degrees.
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No, a regular tessellation uses multiple copies of only one regular polygon.
A semi-regular tessellation is covering a plane surface with two or more different regular polygons, all of which have sides of the same length. In addition, each polygon vertex is surrounded by polygons in the same order.
A semi-regular tessellation is covering a plane surface with two or more different regular polygons, all of which have sides of the same length. In addition, each polygon vertex is surrounded by polygons in the same order.
I think it's only 3: triangle, square and hexagon.
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It is a regular tessellation.
If it also covers a surface without overlap, then it is a regular tessellation.
Regular polygons with 5, 7 or more sides.
An [equilateral] triangle, square and hexagon are the only regular polygons which, by themselves, will tile a surface.