Relatives of spidrox

[mr_e_man]

The rectified 600-cell (o5o3x3o) has icosahedra and octahedra as cells. When it's swirlprismatodiminished, some of the vertices are deleted, so the octahedra become square pyramids, and the icosahedra become pentagonal antiprisms. The deleted vertices become pentagonal prisms.

The cantellated 120-cell (x5o3x3o) has rhombicosidodecahedra, octahedra, and trigonal prisms as cells. Couldn't this also be swirlprismatodiminished? Delete some pentagonal sets of vertices, so the octahedra become square pyramids, and the rhombicosidodecahedra become parabidiminished. The deleted pentagons become decagonal prisms. (The 4D solids being cut off are pentagonal magnabicupolic rings.)

How about a swirlprismatogyrate cantellated 120-cell? Instead of deleting the pentagons, rotate them 36°.

Or a swirlprismatoaugmented thing? Anything in the o5o3o3o family with pentagonal or decagonal prisms could work. Augment with pentagonal prism pyramids or magnabicupolic rings.

[username5243]

The swirldiminished srahi (x5o3x3o is already known: https://bendwavy.org/klitzing/incmats/sidsrahi.htm

So is the gyrated version: https://bendwavy.org/klitzing/incmats/sgysrahi.htm

Unforunately because srahi has 4 vertex types under the swirl symmetry of spidrox, these both fail to be vertex transitive.