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A tiling of regular polygons (in two dimensions), polyhedra (three dimensions), or polytopes (n dimensions) is called a tessellation . Tessellations can be specified using a Schläfli symbol. The breaking up of self-intersecting polygons into simple polygons is also called tessellation (Woo et al. 1999), or more properly, polygon tessellation . There are exactly three regular tessellations composed of regular polygons symmetrically tiling the plane. Tessellations of the plane by two or... Semi-regular tessellations A semi-regular tessellation is a tessellation that is composed of two or more regular polygons such that the arrangement of the polygons is the same for each vertex in the tessellation . The pattern around each vertex is identical. We call this pattern the order of the vertex of the tessellation , and name it based on the number of sides of each regular polygon surrounding the vertex. The order of the semi-regular tessellation composed of equilateral triangles ... Tessellations are from time to time referred to as “tilings' '. Strictly, but, the phrase tilings refers to a pattern of polygons (shapes with straight aspects) simplest. Tessellations can be formed from ordinary and abnormal polygons, making the patterns they produce yet more interesting. A tessellation is a partition of an infinite space into pieces having a finite number of distinct shapes.
