In geometry, the Möbius configuration or Möbius tetrads is a certain configuration in Euclidean space or projective space, consisting of two tetrahedra...
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In geometry, the Möbius–Kantor configuration is a configuration consisting of eight points and eight lines, with three points on each line and three lines...
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Leipzig. Möbius died in Leipzig in 1868 at the age of 77. His son Theodor was a noted philologist. He is best known for his discovery of the Möbius strip...
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In mathematics, a Möbius strip, Möbius band, or Möbius loop is a surface that can be formed by attaching the ends of a strip of paper together with a half-twist...
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This configuration exists as an abstract incidence geometry, but cannot be constructed in the Euclidean plane. (83), the Möbius–Kantor configuration. This...
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graph theory, the Möbius–Kantor graph is a symmetric bipartite cubic graph with 16 vertices and 24 edges named after August Ferdinand Möbius and Seligmann...
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Dual configuration The dual configuration, (123 94), points indexed 1...12 can have configuration table: Möbius–Kantor configuration Removing any...
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graphs, each a skeleton of its Platonic solid. Boerdijk–Coxeter helix Möbius configuration Caltrop Demihypercube and simplex – n-dimensional analogues Pentachoron...
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Levi graph (category Configurations (geometry))
and is 3-regular with 14 vertices. The Möbius–Kantor graph is the Levi graph of the Möbius–Kantor configuration, a system of 8 points and 8 lines that...
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vertices and twelve edges. The graph Q4 is the Levi graph of the Möbius configuration. It is also the knight's graph for a toroidal 4 × 4 {\displaystyle...
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Dual-tracked roller coaster (redirect from Möbius Loop roller coaster)
each cycle, each train travels half the track. In less common configurations, a Möbius loop coaster train travels the entire length of the track before...
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Fano plane (redirect from Fano configuration)
noting that F× 8 is a cyclic group of order 7. The symmetries of P1F7 are Möbius transformations, and the basic transformations are reflections (order 2...
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orbitals of a Möbius aromatic system, stable Möbius aromatic molecules need to contain at least 8 electrons, although 4-electron Möbius aromatic transition...
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form a topological Möbius strip. Möbius ladders were named and first studied by Guy and Harary (1967). For every even n > 4, the Möbius ladder Mn is a nonplanar...
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In mathematics, a configuration space is a construction closely related to state spaces or phase spaces in physics. In physics, these are used to describe...
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edges. Coxeter named it a Möbius–Kantor polygon for sharing the complex configuration structure as the Möbius–Kantor configuration, (83). Discovered by G...
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mathematician August Ferdinand Möbius in 1858. Joel Jackson is the founder and CEO of Mobius Motors. Prior to founding Mobius, Jackson worked on business...
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toroidal polyhedra such as the Szilassi polyhedron require seven colors. A Möbius strip requires six colors (Tietze 1910) as do 1-planar graphs (graphs drawn...
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becomes allowed (see also Möbius–Hückel concept for details). Because the twist can be left-handed or right-handed, the resulting Möbius aromatics are dissymmetric...
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Incidence geometry (section Möbius planes)
other points on them) produces the (83) Möbius–Kantor configuration. Given an integer α ≥ 1, a tactical configuration satisfying: For every anti-flag (B,...
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finite field, with a choice of topologies such as a cylinder, a torus, or a Möbius strip. Alternatively, programmers may abandon the notion of representing...
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Schwarz triangle (redirect from Möbius triangle)
Möbius triangle, and corresponds to a non-overlapping tiling, and the symmetry group is called a triangle group. In the sphere there are three Möbius...
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Non-uniform structure 3. Generalized quadrangle 4. Möbius–Kantor configuration 5. Pappus configuration An incidence structure is uniform if each line is...
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of the Desargues configuration, and its edges represent pairs of lines that do not meet at one of the ten points of the configuration. Donald Knuth states...
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origin in the Austro-Hungarian Empire. He is known for the Möbius–Kantor configuration and the Möbius-Kantor graph. Kantor studied mathematics and physics at...
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long continuous circuit, it may be considered a Möbius Loop roller coaster. However, unlike most Möbius Loop layouts, it only has one station and one cycle...
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Darboux cyclide (redirect from Möbius sphere)
a canal surface (the envelope of a one-parameter family of spheres). A Möbius sphere (also known as an M-sphere) S {\displaystyle S} is the set given...
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tablet device, under Paul Gavarini and Tom Pittard, in a project labelled Möbius. A partnership was established with Acorn Computers, and VLSI in 1990, and...
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Torus (section Configuration space)
letters (by permuting the coordinates). For n = 2, the quotient is the Möbius strip, the edge corresponding to the orbifold points where the two coordinates...
40 KB (5,166 words) - 11:29, 5 May 2025