  In this paper we prove, that none of the three combinatorial 8- manifolds on
15 vertices constructed by Brehm and Kuhnel, each of which is a cohomology
quaternionic projective plane, can be combinatorially embedded in the Euclidean
12-space, though they have tight polyhedral embeddings in Euclidean 14-space.
This extends a similar method already known for the nonembeddings of real and
complex projective planes.
