• Thumbnail for Möbius configuration
    In geometry, the Möbius configuration or Möbius tetrads is a certain configuration in Euclidean space or projective space, consisting of two tetrahedra...
    12 KB (1,346 words) - 18:15, 17 November 2023
  • Thumbnail for Möbius–Kantor configuration
    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...
    9 KB (1,009 words) - 02:28, 20 October 2023
  • Thumbnail for August Ferdinand Möbius
    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...
    8 KB (682 words) - 00:46, 28 February 2025
  • Moebius (redirect from Möbius)
    Look up Möbius in Wiktionary, the free dictionary. Moebius, Mœbius, Möbius or Mobius may refer to: August Ferdinand Möbius (1790–1868), German mathematician...
    6 KB (718 words) - 00:34, 18 February 2025
  • Thumbnail for Möbius strip
    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...
    88 KB (9,636 words) - 23:19, 30 April 2025
  • Thumbnail for Configuration (geometry)
    This configuration exists as an abstract incidence geometry, but cannot be constructed in the Euclidean plane. (83), the Möbius–Kantor configuration. This...
    16 KB (1,692 words) - 01:46, 8 May 2025
  • Thumbnail for Möbius–Kantor graph
    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...
    13 KB (1,529 words) - 17:51, 9 May 2025
  • Thumbnail for Hesse configuration
    Dual configuration The dual configuration, (123 94), points indexed 1...12 can have configuration table: Möbius–Kantor configuration Removing any...
    13 KB (1,386 words) - 06:40, 9 May 2025
  • graphs, each a skeleton of its Platonic solid. Boerdijk–Coxeter helix Möbius configuration Caltrop Demihypercube and simplex – n-dimensional analogues Pentachoron...
    76 KB (9,506 words) - 04:09, 11 March 2025
  • Thumbnail for Levi graph
    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...
    6 KB (601 words) - 16:47, 27 December 2024
  • Thumbnail for Hypercube graph
    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...
    13 KB (1,555 words) - 00:07, 10 May 2025
  • Thumbnail for Dual-tracked 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...
    12 KB (376 words) - 01:29, 25 October 2024
  • Thumbnail for Fano plane
    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...
    24 KB (3,102 words) - 07:38, 12 April 2025
  • Thumbnail for Möbius aromaticity
    orbitals of a Möbius aromatic system, stable Möbius aromatic molecules need to contain at least 8 electrons, although 4-electron Möbius aromatic transition...
    15 KB (1,900 words) - 19:55, 14 March 2025
  • Thumbnail for Möbius ladder
    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...
    15 KB (1,383 words) - 02:15, 11 May 2025
  • Thumbnail for Configuration space (mathematics)
    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...
    16 KB (2,260 words) - 20:10, 2 April 2025
  • Thumbnail for Möbius–Kantor polygon
    edges. Coxeter named it a Möbius–Kantor polygon for sharing the complex configuration structure as the Möbius–Kantor configuration, (83). Discovered by G...
    5 KB (459 words) - 00:15, 27 March 2025
  • mathematician August Ferdinand Möbius in 1858. Joel Jackson is the founder and CEO of Mobius Motors. Prior to founding Mobius, Jackson worked on business...
    19 KB (2,194 words) - 18:31, 5 May 2025
  • Thumbnail for Four color theorem
    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...
    49 KB (6,277 words) - 23:39, 14 May 2025
  • Thumbnail for Aromaticity
    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...
    22 KB (2,762 words) - 07:00, 15 May 2025
  • other points on them) produces the (83) Möbius–Kantor configuration. Given an integer α ≥ 1, a tactical configuration satisfying: For every anti-flag (B,...
    27 KB (3,321 words) - 07:34, 29 August 2023
  • Thumbnail for Conway's Game of Life
    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...
    56 KB (6,408 words) - 11:49, 5 May 2025
  • Thumbnail for Schwarz 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...
    78 KB (10,933 words) - 23:50, 14 April 2025
  • Thumbnail for Incidence structure
    Non-uniform structure 3. Generalized quadrangle 4. Möbius–Kantor configuration 5. Pappus configuration An incidence structure is uniform if each line is...
    19 KB (2,595 words) - 15:39, 27 December 2024
  • Thumbnail for Petersen graph
    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...
    24 KB (2,993 words) - 04:57, 12 April 2025
  • 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...
    4 KB (399 words) - 05:40, 11 May 2025
  • Thumbnail for Twisted Colossus
    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...
    20 KB (2,024 words) - 00:15, 20 April 2025
  • Thumbnail for Darboux cyclide
    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...
    5 KB (648 words) - 11:45, 13 January 2025
  • Thumbnail for Mac transition to Apple silicon
    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...
    49 KB (4,275 words) - 08:21, 3 May 2025
  • Thumbnail for Torus
    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