Truncated Triacontahedron

Here's a unique polyhedron, with which I've been experimenting • It is a truncated medial rhombic triacontahedron

A triacontahedron has 30 faces • A "medial" triacontahedron is a stellated polyhedron, with 30 rhombic faces that extend through the center of the object • In a medial polyhedron, a face extends from one of the nodules, passing near (but not precisely through) the center, to an opposing nodule • The "concave" edges closest to the center of the figure are considered "false" edges, as they are formed by the intersection of two intersecting "true" medial faces

A medial rhombic triacontahedron is stellated, having "pointy" vertices, at the outer extents • These "pointy" extents have been truncated, to produce the outer-most pentagonal faces

While it, simply, looks like 12 clustered dodecahedra, the dodecahedral nodules are not regular, equilateral dodecahedra • The nodules do, indeed, have equilateral edges, but all of the faces are not "regular" pentagons • Only the outer-most pentagons are equilateral and regular • All other pentagons are "squashed" a bit, producing different vertex angles • (The vertex angles aren't all 108°, as in a "regular" pentagon)

Modeled in SketchUp • Rendered in Kerkythea