Math: Tessellation

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Street Pavement

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Giant's Causeway, Ireland

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A tessellation or tiling of the plane is a collection of plane figures that fills the plane with no overlaps and no gaps.

A regular tessellation is a mosaic with all pieces being the same size ans shape.

A semi regular tessellation is one that has more than on shape filling the plane.

In computer-aided design, arbitrary 3D shapes are often too complicated to analyze directly. So they are divided (tessellated) into a mesh of small, easy-to-analyze pieces -- usually either irregular tetrahedrons, or irregular hexahedrons. There a tessellations in nature. Columnar Jointing and Tessellated Pavement are geological formations made in nature. Tessellations frequently appeared in the art of M. C. Escher.



Sources
Wikipedia