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A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries. A periodic tiling has a repeating pattern. Some special kinds include regular tilings with regular polygonal tiles all of the same shape, and ... A pattern of shapes that fit perfectly together! A Tessellation (or Tiling) is when we cover a surface with a pattern of flat shapes so that... From a simple definition to types and real-life examples, here's everything you need to know about tessellations in math. 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 ... These tessellations work because all the properties of a tessellation are present. Figure 10 5 2: Tessellation – Squares Figure 10 5 3: Tessellation – Hexagons The movements or rigid motions of the shapes that define tessellations are classified as translations, rotations, reflections, or glide reflections.

A regular tessellation is a pattern that covers a flat surface entirely using copies of just one type of regular polygon, with no gaps or overlaps. This guide explores the principles and patterns of geometric tessellations, from regular tilings to complex designs with examples.