TOPICS
Search

Kummer Configuration


The Kummer configuration is the 16_6 configuration formed by the 16 ordinary double points (nodes) of a 16-nodal Kummer surface and its 16 tropes, which are tangent to the surface along conics. Each trope contains six nodes and each node lies on six tropes.

The Levi graph of the configuration is the Kummer graph.


See also

Configuration, Kummer Graph, Kummer Surface, Levi Graph, Trope

Explore with Wolfram|Alpha

References

Coxeter, H. S. M. "Self-Dual Configurations and Regular Graphs." Bull. Amer. Math. Soc. 56, 413-455, 1950.Hudson, R. W. H. T. Kummer's Quartic Surface. Cambridge, England: Cambridge University Press, 1905. Reprinted Cambridge, England: Cambridge University Press, 1990.

Cite this as:

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

Subject classifications