The Latest Stop in a Polyhedral Journey

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The Latest Stop in a Polyhedral Journey

After the last post, I did many things with the polyhedron I had — too many to remember the exact sequence — and I ended up with this. I wish I could remember the exact route I took to get here!

Software credit: see http://www.software3d.com/stella.php

The Eighth Stellation of the Dual of the Expanded Rhombic Dodecahedron

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The Eighth Stellation of the Dual of the Expanded Rhombic Dodecahedron

The expanded rhombic dodecahedron is in the last post. It took just a bit to turn it into this — using Stella 4d, software you can find at http://www.software3d.com/stella.php.

Expanded Rhombic Dodecahedron

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Expanded Rhombic Dodecahedron

To make this, a rhombic dodecahedron had each of its faces augmented with prisms, and the I took the convex hull of the resulting figure. This polyhedron has fifty faces, all but eight of which are quadrilaterals.

Software credit: http://www.software3d.com/stella.php.

A Faceting of the Great Rhombicosidodecahedron

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A Faceting of the Great Rhombicosidodecahedron

Software credit: http://www.software3d.com/Stella.php

A Faceting of the Icosidodecahedron

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A Faceting of the Icosidodecahedron

Software credit: http://www.software3d.com/stella.php