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Trioctagonal Tiling
In geometry, the trioctagonal tiling is a semiregular tiling of the hyperbolic plane, representing a Rectification (geometry), rectified Order-3 octagonal tiling. There are two triangles and two octagons alternating on each vertex (geometry), vertex. It has Schläfli symbol of ''r''. Symmetry Related polyhedra and tilings From a Wythoff construction there are eight hyperbolic Uniform tilings in hyperbolic plane, uniform tilings that can be based from the regular octagonal tiling. Drawing the tiles colored as red on the original faces, yellow at the original vertices, and blue along the original edges, there are 8 forms. It can also be generated from the (4 3 3) hyperbolic tilings: The trioctagonal tiling can be seen in a sequence of quasiregular polyhedrons and tilings: See also * Trihexagonal tiling - 3.6.3.6 tiling ** Rhombille tiling - dual V3.6.3.6 tiling * Tilings of regular polygons * List of uniform tilings References * John Horton Conway, John H. Conwa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometry
Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a ''List of geometers, geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point (geometry), point, line (geometry), line, plane (geometry), plane, distance, angle, surface (mathematics), surface, and curve, as fundamental concepts. Originally developed to model the physical world, geometry has applications in almost all sciences, and also in art, architecture, and other activities that are related to graphics. Geometry also has applications in areas of mathematics that are apparently unrelated. For example, methods of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, Wiles's proof of Fermat's ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
