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...

called the Möbius–Kantor configuration. The Möbius–Kantor graph derives its name from being the Levi graph of the Möbius–Kantor configuration. It has one...

edges. Coxeter named it a Möbius–Kantor polygon for sharing the complex configuration structure as the Möbius–Kantor configuration, (83). Discovered by G...

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...

Non-uniform structure 3. Generalized quadrangle 4. Möbius–Kantor configuration 5. Pappus configuration An incidence structure is uniform if each line is...

closely related configuration, the Möbius–Kantor configuration formed by two mutually inscribed quadrilaterals, has the Möbius–Kantor graph, a subgraph...

Look up Möbius in Wiktionary, the free dictionary. Moebius, Mœbius, Möbius or Mobius may refer to: August Ferdinand Möbius (1790–1868), German mathematician...

Dual configuration The dual configuration, (123 94), points indexed 1...12 can have configuration table: Möbius–Kantor configuration Removing any...

This configuration exists as an abstract incidence geometry, but cannot be constructed in the Euclidean plane. (83), the Möbius–Kantor configuration. This...

realization; the Möbius–Kantor configuration of eight points and eight lines does not. It is known that every regular configuration with three lines per...

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...

Austro-Hungarian Empire. He is known for the Möbius–Kantor configuration and the Möbius-Kantor graph. Kantor studied mathematics and physics at the Technische...

other points on them) produces the (83) Möbius–Kantor configuration. Given an integer α ≥ 1, a tactical configuration satisfying: For every anti-flag (B,...

definitions exist only for the regular complex polytopes, which are configurations. The regular complex polytopes have been completely characterized, and...

graphs are the cubical graph G(4, 1), the Petersen graph G(5, 2), the Möbius–Kantor graph G(8, 3), the dodecahedral graph G(10, 2) and the Nauru graph G(12...

duopyramid G4=G(1,1,2) 3[3]3 <2,3,3> 24 6 3(24)3 3{3}3 8 8 3{} Möbius–Kantor configuration self-dual, same as R 4 {\displaystyle \mathbb {R} ^{4}} representation...

hyperplanes of symmetry passing through the center yield complex 3{4}3 Möbius–Kantor polygons. The root vectors of simple Lie group E8 are represented by...

{\displaystyle G(n,1)} the Dürer graph G ( 6 , 2 ) {\displaystyle G(6,2)} , the Möbius-Kantor graph G ( 8 , 3 ) {\displaystyle G(8,3)} , the dodecahedron G ( 10 ...

G(4,1)} , the Petersen graph G ( 5 , 2 ) {\displaystyle G(5,2)} , the Möbius–Kantor graph G ( 8 , 3 ) {\displaystyle G(8,3)} , the dodecahedral graph G...

duoprism, the 16-cell can be seen as its dual, a 4-4 duopyramid. The Möbius–Kantor polygon is a regular complex polygon 3{3}3, , in C 2 {\displaystyle...

Petersen graphs are the n-prism G(n, 1), the Dürer graph G(6, 2), the Möbius-Kantor graph G(8, 3), the dodecahedron G(10, 2), the Desargues graph G(10,...

Amer. Math. Soc. 81 (3): 536–538. doi:10.1090/s0002-9904-1975-13731-1. Kantor, William M. (1981). "Review of Permutation groups and combinatorial structures...

Servatius, Brigitte (2013), "2.3.2 Cubic graphs and LCF notation", Configurations from a Graphical Viewpoint, Springer, p. 32, ISBN 9780817683641. Frucht...