Tag Archives: truncated icosidodecahedron

A Great Rhombicosidodecahedron Inspired By David Bowie, As Ziggy Stardust

I made this with Stella 4d, which you can try for yourself at this website.

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The Great Rhombicosidodecahedron, Built from Rhombic Triacontahedra, and Its Dual

The great rhombicosidodecahedron is also known as the truncated icosidodecahedron (and, confusingly, several other names). Regardless of what it’s called, these pictures demonstrate that this Archimedean solid can be constructed using rhombic triacontahedra as building-blocks. First, here’s one in the same … Continue reading

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The Final Stellation of the Great Rhombicosidodecahedron, Together with Its Dual

In the last post, several selections from the stellation-series of the great rhombicosidodecahedron (which some people call the truncated icosidodecahedron) were shown. It’s a long stellation-series — hundreds, or perhaps thousands, or even millions, of stellations long (I didn’t take … Continue reading

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Selections from the Stellation-Series of the Great Rhombicosidodecahedron

The great rhombicosidodecahedron, also known as the truncated icosidodecahedron, has a long and complex stellation series. Here are some highlights from that series, chosen using aesthetic, rather than mathematical, criteria. All these virtual models were made using Stella 4d, which … Continue reading

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Another Faceting of the Great Rhombicosidodecahedron

This could also be called one of many possible faceted truncated icosidodecahedra. I made it using Stella 4d, which you can try and/or buy here. Faceting is the reciprocal operation of stellation, and involves connecting the vertices of a polyhedron … Continue reading

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Five of the Thirteen Archimedean Solids Have Multiple English Names

I call the polyhedron above the rhombcuboctahedron. Other names for it are the rhombicuboctahedron (note the “i”), the small rhombcuboctahedron, and the small rhombicuboctahedron. Sometimes, the word “small,” when it appears, is put in parentheses. Of these multiple names, all … Continue reading

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A Rotating Great Rhombicosidodecahedron, with Spinning Mandalas On Its Faces

This polyhedron is also known as the truncated icosidodecahedron. However, I prefer the name which appears in the title of this post. I made the image which appears on each face with Geometer’s Sketchpad and MS-Paint, and then used Stella … Continue reading

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