If the interior angles of a regular polygon are factors of 360 then it will tesselate.
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Any shape tesselates any of its covering spaces.
A square is one of the simplest shapes that can be tessellated. Tessellation is the means of using a repeated shape to build a larger shape with no gaps or overlaps.
The pattern on a soccer ball is usually a black pentagon surrounded by six white hexagons. Each white hexagon is surrounded by three black pentagons and three other white hexagons, with those two shapes alternating around the said white hexagon.
A shape is considered regular when all sides are of equal length.
I think you can tell if a shape has a square corner by seeing if the corner has a 90 degree angle. If it is 90 degress than it is a square corner.