Miquel configuration

In geometry, the Miquel configuration is a configuration of eight points and six circles in the Euclidean plane, with four points per circle and three circles through each point.[1] Its Levi graph is the Rhombic dodecahedral graph, the skeleton of both Rhombic dodecahedron and Bilinski dodecahedron. The configuration is related to Miquel's theorem.

Miquel configuration
Rhombic dodecahedral graph

References

  1. Grünbaum, Branko (2009), Configurations of points and lines, Graduate Studies in Mathematics, vol. 103, Providence, RI: American Mathematical Society, p. xiv+399, ISBN 978-0-8218-4308-6, MR 2510707.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.