Even Astral Configurations

A configuration (pq, nk) is a collection of p points and n straight lines in the Euclidean plane so that every point has q straight lines passing through it and every line has k points lying on it. A configuration is astral if it has precisely q+1 2 symmetry classes (transitivity classes) of lines and k+1 2 symmetry classes of points. An even astral configuration is an astral configuration configuration where q and k are both even. This paper completes the classification of all even astral configurations.

• Type: Journal
• Year: 2004
• Where: COMBINATORICS
• Authors: Leah Wrenn Berman
• Keywords: COMBINATORICS 2004, Euclidean Plane, Symmetry Classes, Transitivity Classes