![]() Leave a message on the discussion page by clicking the 'discussion' tab at the top of this image page. Have questions about the image or the explanations on this page? If you are able, please consider adding to or editing this page! They are part of an area of mathematics that often appears easy to. Teaching Materials There are currently no teaching materials for this page. Tessellations are used appreciably in regular objects, especially in buildings and walls. 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. Escher, the most famous tessellation artist. Created by students for the Thinkquest contest. Totally Tessellated The art, math and history of tessellations. ![]() Tessellation patterns are used for tiles, mosaics, quilts and art. 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. See Wikipedias entry: Tessellations Youll find an intuitive definition of tessellations ('Tessellation is the process of creating a two-dimensional plane using the repetition of a geometric shape with no overlaps and no gaps. Tessellations are patterns that repeat endlessly without leaving gaps. Tessellations are observed in some works of great artists like M.C. Since 6 \times 60\circ 360\circ, there is a regular tessellation using six triangles around each vertex.Corners of the tiles need to fit together around a point, which means the corner angle of the regular polygon must evenly divide 360. 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. A tessellation using one regular polygon tile, arranged so that edges match up. 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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