The Klein configuration is a configuration that consists of 60 points and 60 planes, with each point lying on 15 planes and each plane passing through 15 points.
The Levi graph of the configuration may be termed the 120-Klein graph.
Klein Configuration
See also
Klein Graphs, Levi GraphsExplore with Wolfram|Alpha
References
Hudson, R. W. H. T. "Klein's 6015 configuration." §25 in Kummer's Quartic Surface. Cambridge, England: Cambridge University Press, pp. 42-44, 1905.Klein, Felix (1870), "Zur Theorie der Liniencomplexe des ersten und zweiten Grades", Mathematische Annalen, Springer Berlin / Heidelberg, 2 (2): 198Ð226, 1870.Pokora, P.; Szemberg, T.; and Szpond, J. "Unexpected Properties of the Klein Configuration of 60 Points in
."
7 Mar 2022. https://arxiv.org/abs/2010.08863.
Cite this as:
Weisstein, Eric W. "Klein Configuration." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/KleinConfiguration.html