Regular tessellations can be made using triangles, squares, and hexagons.
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Tessellations
3-sided4-sided6-sided3 sided, 4 sided, and 6 sided or in other words, triangles, squares, and hexagons.
Non-regular tessellations is a tessellation in which there is no restriction on the order of the polygons around vertices. There is an infinite number of such tessellations. These are tessellations with nonregular simple convex or concave polygons. All triangles and quadrilaterals will tessellate. Some pentagons and hexagons will.
Its trigonometry. Tessellations are shapes.
There isn't just one square tessellation .... there can be many. You will have to look up some or make your own. But squares CAN be used in tessellations, if that is your question.