The Bokowski-Schewe configuration is the term used in this work for the geometric configuration constructed by Bokowski and Schewe (2005).
It is the first of the two geometric
configurations classified by Bokowski and Pilaud (2014),
is not combinatorially isomorphic to the Bokowski-Pilaud
configuration, and is self-dual.
Here "geometric" means realizable by points and straight lines in the real projective plane, so a chosen affine drawing may contain points at infinity. In the stricter usage that requires points and lines in the Euclidean plane, a projective collineation can be used to choose an affine chart avoiding the finitely many configuration points.
The Bokowski-Schewe graph, or Levi graph of the configuration, is a connected quartic graph and bipartite graph on 36 vertices and 72 edges. Its automorphism group has order 48 (Bokowski and Pilaud 2014).
No geometric configuration exists for
, so it and the Bokowski-Pilaud
configuration have the smallest possible order among geometric 4-configurations
(Bokowski and Schewe 2005, Bokowski and Schewe 2013, Bokowski and Pilaud 2014).