Radial Five

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Pentagons

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Hexagons

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A Compound of the Rhombic Triacontahedron and a Truncation of the Dodecahedron

Created with Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.

Twenty Rhombicosidodecahedra Surrounding a Central Icosahedron

Created using Stella 4d, which you can try for yourself at http://www.software3d.com/Stella.php.

A Tetrahedral Array of Pulsating Tetrahedra

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I created this using Stella 4d: Polyhedron Navigator. You may try this software, for free, at http://www.software3d.com/Stella.php.

Violet and Blues

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One of Many Faceted Versions of the Great Rhombicosidodecahedron

The great rhombicosidodecahedron is also known as the truncated icosidodecahedron. I created this faceting of it using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.

A Symmetrohedron Featuring Regular Pentagons and Hexagons, as Well as Isosceles Trapezoids

Created using Stella 4d, which you can try for yourself at http://www.software3d.com/Stella.php.