Two Views of the Final Stellation of the Icosidodecahedron

In the image above, the icosidodecahedron’s final stellation is colored by face type. In the one below, I used “rainbow color mode.” Both were made using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

One of Many Facetings of the Icosidodecahedron

I created this using Stella 4d, software you can try right here.

A Faceted Truncated Icosahedron With 32 Faces

This faces of this polyhedron include 12 regular pentagons, and twenty 6/2-gons. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

A Tessellation Featuring Three Varieties of Squares

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Tessellation of Hexagrams and Equilateral Triangles

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A Fifty-faced Symmetrohedron

The hexagons and squares in this polyhedron are regular; only the isosceles trapezoids are not. I made it using Stella 4d, which you can try for free right here.

A Tetrahedral Stellation of the Dodecahedron

To make this polyhedron using Stella 4d (available here), I started with the dodecahedron, dropped the symmetry of the model down to tetrahedral, and then stellated it twice.