If the oblate golden rhombohedron has volume 1, then the prolate golden rhombohedron has volume
and the oblate golden rhombohedron whose edges are
times as long has volume
. So there exists a dissection of
O6 to one O6 and two A6 (see the Demonstration in Related Links). The basic idea is to dissect three smaller rhombohedra to a parallelepiped with the same height and angles as two smaller prolate rhombohedra and then to dissect the parallelepiped to the larger oblate rhombohedron.
