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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.
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 buildingblocks. First, here’s one in the same … Continue reading
The Final Stellation of the Great Rhombicosidodecahedron, Together with Its Dual
In the last post, several selections from the stellationseries of the great rhombicosidodecahedron (which some people call the truncated icosidodecahedron) were shown. It’s a long stellationseries — hundreds, or perhaps thousands, or even millions, of stellations long (I didn’t take … Continue reading
Selections from the StellationSeries 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
Posted in Mathematics
Tagged geometry, great rhombisidodecahedron, Mathematics, polyhedra, polyhedron, stellated, stellation, truncated icosidodecahedron
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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
Posted in Mathematics
Tagged facet, faceted, faceting, geometry, great rhombicosidodecahedron, Mathematics, polyhedra, polyhedron, truncated icosidodecahedron
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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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10 June 2014
Tagged Archimedean, geometry, great, hexahedron, language, Mathematics, nomenclature, polyhedra, polyhedron, rant, rhombcuboctahedron, rhombicosidodecahedron, rhombicuboctahedron, small, solid, term, terminology, truncated cube, truncated cuboctahedron, truncated icosidodecahedron, words
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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 MSPaint, and then used Stella … Continue reading