  We considered the possibility that the oriented matroid theory is connected
with supersymmetry via the Grassmann-Plucker relations. The main reason for
this, is that such relations arise in both in the chirotopes definition of an
oriented matroid, and in maximally supersymmetric solutions of eleven- and
ten-dimensional supergravity theories. Taking this observation as a motivation,
and using the concept of a phirotope, we propose a mechanism to implement
supersymmetry in the context of the oriented matroid theory.
