Omniaugmented dodecahedral prism (EntityTopic, 13)
From Hi.gher. Space
The omniaugmented dodecahedral prism is a CRF polytope with 2 dodecahedra, 24 pentagonal pyramids, and 60 square pyramids. It is constructed by augmenting the pentagonal prisms of the dodecahedral prism with pentagonal prism pyramids. Its lace tower is (x5o3o || o5o3A || x5o3o) or xox5ooo3oAo, where A = 3∕√5.
Projections
Centered on dodecahedron:
Side view:
Close-up projective view without visibility clipping, showing all 3 layers concentrically:
Coordinates
# x5o3o: apacs<phi, phi, phi> ~ <±1> epacs<0, 1, phi^2> ~ <±1> # o5o3A: (3/√5)*epacs<1, 0, phi> ~ <0>