no
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An [equilateral] triangle, square and hexagon are the only regular polygons which, by themselves, will tile a surface.
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.
Yes.Yes.Yes.Yes.
Yes it can tile. * * * * * No, they cannot.
This is like asking "why is pi 3.14 plus a bit"? It just is. Hexagons tile because they do.