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In geometry, the Klein configuration, studied by Klein (1870), is a geometric configuration related to Kummer surfaces that consists of 60 points and 60 planes, with each point lying on 15 planes and each plane passing through 15 points.

References

Hudson, R. W. H. T. (1990) [1905], "§25. Klein's 6015 configuration", Kummer's quartic surface, Cambridge Mathematical Library, Cambridge University Press, pp. 42–44, ISBN 978-0-521-39790-2, MR 1097176
Klein, Felix (1870), "Zur Theorie der Liniencomplexe des ersten und zweiten Grades", Mathematische Annalen (Springer Berlin / Heidelberg) 2: 198–226, doi:10.1007/BF01444020, ISSN 0025-5831

Mathematics Encyclopedia

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