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A regular tessellation can use four different regular polygons to cover a surface true or false?
I think it's only 3: triangle, square and hexagon.
What type of tessellation uses one type of regular polygon to cover a surface completely?
If it also covers a surface without overlap, then it is a regular tessellation.
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.
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.
Can a regular pentagon and two regular hexagons meet at a vertex of a tessellation?
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.
