A Rhombicosidodecahedron, Augmented with Thirty Icosakaipentagonal Prisms

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A Rhombicosidodecahedron, Augmented with Thirty Icosagonal Prisms

When adding icosakaipentagonal prisms (those where the bases have 25 sides) to the thirty square faces of a rhombicosidodecahedron, the prisms can have one of two orientations. One is above, and here is the other one (click to enlarge):

Augmented Rhombicosidodeca

Software credit: I made these images using Stella 4d, available at http://www.software3d.com/Stella.php (free trial download available).