The AB4 T-4 E-mode configuration space was shown to be spherical (the S 2 topological manifold) and exhibit the symmetry properties of a disdyakis dodecahedron. Examination of the configuration space revealed that each polytope species (configuration) appears multiple times but with different orientations (orientation permutations). These orientation permutations are identified as pseudorotations that stand in addition to the "permutation isomer" pseudorotations described by traditional analyses. Further, this AB4 T-4 E-mode example demonstrates that pathways connect all pseudorotated species without necessarily passing through, or near, the stereotropically-problematic (or in the extreme case, unphysical) "fusion" polytopes.