Q: Can a square be tessellated

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Yes. A simple case would be where they combine into a square.

Yes. A regular tessellation can be created from either an equilateral triangle, a square, or a hexagon.

A chessboard is tessellated, so I assume it is a figure that is checkered.

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.

Yes

Related questions

Yes. A simple case would be where they combine into a square.

Yes. A regular tessellation can be created from either an equilateral triangle, a square, or a hexagon.

a

A chessboard is tessellated, so I assume it is a figure that is checkered.

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.

No

No.

Yes

Yes

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In a normal plane, only regular polygons with interior angles that are a factor of 360o can be tessellated. This means only three shapes: the regular (equilateral) triangle, the regular quadrilateral (square) and the regular hexagon. If the line were considered a regular polygon (with only two sides) then it would also be included in this list.

There are several different types of symmetry. Some of these include reflectional symmetry or rotational symmetry. It depends on how the plane has been tessellated.