The Berman configurations are the terms used in this work for two geometric configurations due to Leah W. Berman. They are the Berman configuration and Berman
configuration. Grünbaum (2009, p. 238) described
the
configuration as the smallest known 5-configuration and credited it to Berman by
private communication. Berman (2014) published the
construction, and Pegg (2023) described the
and
configurations as the first known geometric 5- and 6-configurations,
respectively.
Both configurations have 12-fold rotational symmetry, making them 12-cyclic polycyclic configurations.
The
configuration therefore has four point orbits and four line orbits, while the
configuration has eight of each.
Both configurations are self-dual.
Their Levi graphs are the Berman graphs.