Cases of quasi-coincident "almost orthogonal" projections of n-dimenstional polytopes in (n-k)-spaces

Question

Background:

In Regular Polytopes, Coxeter shows that the familiar 3-dimensional rhombic dodecahedron resulting from a true orthogonal projection of the 4-cube has a "floor-plan" which is the same as the "floor-plan" of a different less familiar dodecahedron resulting from an "almost-orthogonal" projection of a 5-cube. (The latter projection is "almost-orthogonal" because Coxeter introduces a very slight bit of perspective into it.)

Question:

Are there any other known cases of such "quasi-coincident" shadows in n-space of two objects in (n+1)-space and (n+2)-space.

I am particularly interested in any known cases involving shadows in 9-space of objects in 10-space and 11-space - in this regard, see also this question:

Are the roots of E6 in 9-space ever treated as an orthogonal projection of a set of points in 11-space?

Thanks as always for whatever time you can afford to spend considering this question.