There are eight semi-regular tessellations. There are only three regular tessellations: those made up of equilateral triangles, squares, or regular hexagons.Ī semi-regular tessellation, also known as an Archimedean tessellation, is a tessellation made up of more than one type of regular polygon, but the arrangement of polygons around each vertex is the same. The mathematical study of tessellations involves the use of several branches of mathematics, including geometry, topology, and group theory.Ī regular tessellation is a tessellation that uses only one type of regular polygon, and the same number of polygons meet at each vertex. It is closely related to the principles of symmetry, regularity, and repetition. Tessellation is a fundamental concept in the field of geometry. In the Islamic world, tessellations were used extensively in architectural decoration, particularly in the form of complex geometric patterns. The Greeks further developed the concept, using tessellations in their architecture and pottery designs. The earliest known tessellations were found in the Sumerian and Egyptian cultures, where they were used in wall decorations and floor mosaics. The concept of tessellation has been present in various cultures throughout history. A photograph of a tessellation pattern made up of regular hexagons. The shapes used in tessellation are usually polygons, but they can also be more complex shapes.Ī photograph of a tessellation pattern made up of regular hexagons. In other words, a tessellation is a way of tiling a plane using shapes such that there are no gaps or overlaps. Tessellation, also known as tiling, is a process in geometry that involves the covering of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.
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