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Cremona-Richmond Configuration

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CremonaRichmondConfig

The Cremona-Richmond configuration is a 15_3 configuration of 15 lines and 15 points, with three lines through three points, three points on every line, and containing no triangles. It is illustrated above in two configurations, the left one due to Wells (1991, p. 40) and the right one due to Pisanski et al. (2004).

Its Levi graph is the Tutte 8-cage.

See also

Configuration, Tutte 8-Cage

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References

Grünbaum, B. Configurations of Points and Lines. Providence, RI: Amer. Math. Soc., pp. 1-2, 2009.Pisanski, T.; Boben, M.; Marušič, D.; Orbanić, A.; and Graovac, A. "The 10-Cages and Derived Configurations." Disc. Math. 275, 265-276, 2004. https://doi.org/10.1016/S0012-365X(03)00110-9.Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London, England: Penguin, p. 40, 1991.

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Cremona-Richmond Configuration

Cite this as:

Weisstein, Eric W. "Cremona-Richmond Configuration." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Cremona-RichmondConfiguration.html

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