On p-tuples of equi-isoclinic 3-spaces in the Euclidean space

In this paper we show on the one hand that ℝ8 contains two congruence classes of sextuples of equi-isoclinic 3-subspaces, whereas no such 7-tuple exists and on the other hand, we give the list of all regular p-tuples of equi-isoclinic 3-subspaces.