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A regular digon has both angles equal and both sides equal and is represented by Schläfli symbol {2}. It may be constructed on a sphere as a pair of 180 degree arcs connecting antipodal points, when it forms a lune. The digon is the simplest abstract polytope of rank 2. A truncated digon, t{2} is a square, {4}. An alternated digon, h{2} is a ...
1-uniform tilings include 3 regular tilings, and 8 semiregular ones, with 2 or more types of regular polygon faces. There are 20 2-uniform tilings, 61 3-uniform tilings, 151 4-uniform tilings, 332 5-uniform tilings and 673 6-uniform tilings. Each can be grouped by the number m of distinct vertex figures, which are also called m-Archimedean tilings.
These segments are called its edges or sides, and the points where two of the edges meet are the polygon's vertices (singular: vertex) or corners. The word polygon comes from Late Latin polygōnum (a noun), from Greek πολύγωνον ( polygōnon/polugōnon ), noun use of neuter of πολύγωνος ( polygōnos/polugōnos , the masculine ...
1 22 • 2 21: Uniform 7-polytope: 7-simplex: 7-orthoplex • 7-cube: 7-demicube: 1 32 • 2 31 • 3 21: Uniform 8-polytope: 8-simplex: 8-orthoplex • 8-cube: 8-demicube: 1 42 • 2 41 • 4 21: Uniform 9-polytope: 9-simplex: 9-orthoplex • 9-cube: 9-demicube: Uniform 10-polytope: 10-simplex: 10-orthoplex • 10-cube: 10-demicube: Uniform n ...
By two 9-uniform tilings in [10] a big fractalization is achieved by a scale factor of 3 in all planigons. In the case of s,C,B,H its own planigon is in the exact center: The two 9-uniform tilings are shown below, fractalizations of the demiregulars DC and DB, and a general example on S 2 TC:
Quarter inch cartridge tape (abbreviated QIC, commonly pronounced "quick") is a magnetic tape data storage format introduced by 3M in 1972, [1] with derivatives still in use as of 2016. QIC comes in a rugged enclosed package of aluminum and plastic that holds two tape reels driven by a single belt in direct contact with the tape.
In related terminology, the (n − 2)-faces of an n-polytope are called ridges (also subfacets). [10] A ridge is seen as the boundary between exactly two facets of a polytope or honeycomb. For example: The ridges of a 2D polygon or 1D tiling are its 0-faces or vertices. The ridges of a 3D polyhedron or plane tiling are its 1-faces or edges.
There are 7 subgroup dihedral symmetries: (Dih 12, Dih 6, Dih 3), and (Dih 8, Dih 4, Dih 2 Dih 1), and 8 cyclic group symmetries: (Z 24, Z 12, Z 6, Z 3), and (Z 8, Z 4, Z 2, Z 1). These 16 symmetries can be seen in 22 distinct symmetries on the icositetragon. John Conway labels these by a letter and group order. [2]