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 A BlackonBlack Polyhedron: The Final Stellation of the Icosahedron
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Tag Archives: final
A BlackonBlack Polyhedron: The Final Stellation of the Icosahedron
I made this using Stella 4d: Polyhedron Navigator, which you may try for free right here.
Posted in Art
Tagged Art, final, geometric, geometrical, geometry, icosahedron, mathematical, polyhedra, polyhedron, stellated, stellation
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Building a “Polyhedral Porcupine”
This is the icosahedron, followed by its first stellation. The first stellation of the icosahedron can be stellated again, and again, and so on. The “final stellation” of the icosahedron is the one right before the stellationseries “wraps around,” back … Continue reading
Posted in Mathematics
Tagged compound, final, geometry, icosahedron, Mathematics, polyhedra, polyhedral, polyhedron, porcupine, stellated, stellation
2 Comments
The Final Stellation of the Compound of Five Icosahedra
This was made using Stella 4d, software available at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged compound, final, five, geometry, icosahedra, Mathematics, polyhedra, polyhedron, stellate, stellated, stellation
1 Comment
The Final Stellation of the Rhombic Triacontahedron, Together with Its Dual, a Faceting of the Icosidodecahedron
Sharpeyed, regular readers of this blog will notice that this is the same polyhedron shown in the previous post, which was described as the “final stellation of the compound of five cubes,” due to the coloring scheme used in the … Continue reading
Posted in Mathematics
Tagged dual, faceted, faceting, final, geometry, icosidodecahedron, Mathematics, polyhedra, polyhedron, reciprocal, rhombic triacontahedron, stellated, stellation
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The Final Stellation of the Compound of Five Cubes
The version of the final stellation of the compound of five cubes shown above has its colors derived from the traditional fivecolor version of the original compound, itself. The one below, by contrast, has its colors selected by facetype, without … Continue reading
Posted in Mathematics
Tagged compound, final, five cubes, geometry, Mathematics, polyhedra, polyhedral, polyhedron, stellate, stellated, stellation
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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
The Final Stellation of the Icosahedron
This is what you get if you stellate an icosahedron seventeen times. The eighteenth stellation “loops” back around to the original figure, the icosahedron. For this reason, the figure above is often called “the final stellation of the icosahedron,” as … Continue reading
Posted in Mathematics
Tagged complete, final, geometry, icosahedron, Mathematics, polyhedra, polyhedron, stellated, stellation
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