  We calculate the representation-graded Bredon homology rings of all
elementary abelian 2-groups with coefficients in the constant mod-2 Mackey
functor. We show that these rings are domains, and we exhibit minimal
presentations as quotients of the polynomial algebra on the pre-Euler and
inverse Thom classes of all nontrivial characters, subject to an explicit
finite list of relations arising from orientability properties. Two corollaries
of our presentation are the calculation, originally due to Holler and Kriz, of
the geometric fixed point rings, and a strengthening of a calculation of Balmer
and Gallauer of the localized twisted cohomology ring.
