Lattice degeneracies of geometric fermions

We give the minimal numbers of degrees of freedom carried by geometric fermions on all lattices of maximal symmetries in d=2,3, and 4 dimensions. These numbers are lattice dependent, but in the (free) continuum limit, part of the degrees of freedom have to escape to infinity in the spectrum by a Wilson mechanism built in, and 2sup(d) survive for any lattice. On self-reciprocial lattices we compare the minimal numbers of degrees of freedom of geometric fermions with the minimal numbers of naive fermions on these lattices and argue that these numbers are equal. (orig.)