Pasch configuration

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In discrete geometry, the Pasch configuration, which can also be described as a (6₂4₃) configuration,^[1] is a configuration of 6 points and 4 lines, with 3 points per line and 2 lines per point.^[2] It is named after Moritz Pasch.

The Levi graph of the Pasch configuration is called the Pasch graph.^[2]

References

[edit]

Saniga, Metod; Holweck, Frédéric; Pracna, Petr (2015). "From Cayley-Dickson Algebras to Combinatorial Grassmannians". Mathematics. 3 (4). MDPI AG: 1192–1221. arXiv:1405.6888. doi:10.3390/math3041192. ISSN 2227-7390.

External links

[edit]

Weisstein, Eric W., "Pasch Configuration", MathWorld

v t e Incidence structures
Representation	Incidence matrix Incidence graph
Fields	Combinatorics Block design Steiner system Geometry Incidence Projective plane Graph theory Hypergraph Statistics Blocking
Configurations	Complete quadrangle Fano plane Möbius–Kantor configuration Pappus configuration Hesse configuration Desargues configuration Reye configuration Pasch configuration Schläfli double six Cremona–Richmond configuration Kummer configuration Grünbaum–Rigby configuration Klein configuration Dual
Theorems	Sylvester–Gallai theorem De Bruijn–Erdős theorem Szemerédi–Trotter theorem Beck's theorem Bruck–Ryser–Chowla theorem
Applications	Design of experiments Kirkman's schoolgirl problem

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References

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