Tag Archives: truncated icosahedron

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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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 Truncated Icosahedron, Formed By Silver Pipes, and Gold Fastenings

I made this precious-metal version of the truncated icosahedron using Stella 4d, a program which is available here: http://www.software3d.com/Stella.php.

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A Cluster of 33 Truncated Icosahedra

There is one truncated icosahedron at the center of this cluster, and each of its 32 faces is augmented with another truncated icosahedron, for a total of 33. I built this cluster using Stella 4d, software available here.

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A Pyritohedral Coloring-Scheme for the Truncated Icosahedron

While the polyhedron above, informally known as the “soccer ball,” has icosidodecahedral symmetry, its coloring-scheme does not. Instead, I colored the faces in such a way that the coloring-scheme has pyritohedral symmetry — the symmetry of a standard volleyball. This … Continue reading

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The Compound of the Truncated Icosahedron and the Rhombic Triacontahedron

I put these two polyhedra together using Stella 4d: Polyhedron Navigator. If you’d like to try this program yourself, for free, this website is the one to visit: http://www.software3d.com/Stella.php.

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A Truncated Icosahedron, with Hexagons Augmented By Triangular Pyramids, in a Chiral Pattern

I made this using Stella 4d: Polyhedron Navigator, software available here.

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