Teaching Materials There are currently no teaching materials for this page. For more information, check out the separate page on Hyperbolic Tilings Tessellations can also be formed on hyperbolic surfaces. In the image below, the hexagons are white and the pentagons are black. A soccer ball is covered in hexagons and pentagons, which form a semi-regular tessellation on a sphere. Shapes can be tessellated on surfaces other than the plane, such a spheres. Examples of beautiful tessallations in nature are cracking patterns in dried mud or pottery, cellular structures in Biology and and crystals in metallic ingots.Ī larger example of Penrose tiling, which can repeat infinitely without repetition or symmetry. Tessellations are observed in some works of great artists like M.C. Tessellations are a combination of math, art and fun, in this regard there are numerous applications in real life ranging from the patterns on floors to jig-saw puzzles. The image below is an example of an irregular tessellation. Many other shapes, including ones made up of complex curves can tessellate. Irregular tessellations encompass all other tessellations, including the tiling in the main image. Below are examples of semi-regular tessellations. Semi-regular tessellations, also known as Archimedean tessellations, are formed by two or more regular polygons whose arrangement at every vertex are identical. Regular Hexagons A regular hexagon is a six-sided regular polygon, and it also tessellates.
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