Tag Archives: faceted

Seven Different Facetings of the Truncated Icosahedron

The polyhedron above is the truncated icosahedron, widely known as the pattern for most soccer balls. In the image below, the faces and edges have been hidden, leaving only the vertices. To make a faceted version of this polyhedron, these … Continue reading

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Ten Different Facetings of the Rhombicosidodecahedron

This is the rhombicosidodecahedron. It is considered by many people, including me, to be the most attractive Archimedean solid. To create a faceted polyhedron, the first step is to get rid of all the faces and edges, leaving only the … Continue reading

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ZigZag: A Faceting of the Great Rhombcuboctahedron

I made this using Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.

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Two Facetings of the Truncated Dodecahedron

I made these using Stella 4d, a program you can try for free at this website.

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A Faceted Truncated Icosahedron

This is one of many possible facetings of the truncated icosahedron. I made it using Stella 4d, which you can try for yourself at this website: http://www.software3d.com/Stella.php.

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A Faceting of the Rhombcuboctahedron

This particular faceting of the rhombcuboctahedron can also be viewed as a cluster of stella octangulae. I made it using Stella 4d, polyhedron-manipulating software you can try, for yourself, at http://www.software3d.com/Stella.php.

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A Faceted Great Rhombcuboctahedron

Some prefer to call the great rhombcuboctahedron the “truncated cuboctahedron,” instead. Whichever term you prefer, this is a faceted version of that Archimedean solid. I made it using Stella 4d: Polyhedron Navigator, software you may find here.

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