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 A Second Type of Double Icosahedron, and Related Polyhedra
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 The Compound of the Octahedron and the Small Stellated Dodecahedron
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Tag Archives: stellated
A Second Type of Double Icosahedron, and Related Polyhedra
After seeing my post about what I called the “double icosahedron,” which is two complete icosahedra joined at one common triangular face, my friend Tom Ruen brought my attention to a similar figure he likes. This second type of double icosahedron … Continue reading
Posted in Mathematics
Tagged double, geometry, gyroelongated pentagonal pyramid, icosahedron, J11, Mathematics, polyhedra, polyhedron, stellated, stellation, zonohedra, zonohedron
3 Comments
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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Selected Stellations of the Truncated Dodecahedron
This is the truncated dodecahedron. It is one of the Archimedean solids. This polyhedron has a long stellationseries, from which I selected several on aesthetic grounds. The figure immediately below is the truncated dodecahedron’s 16th stellation. Here is the 21st … Continue reading
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, stellated, stellation, truncated
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A Compound of Two Stellated Polyhedra
I made this using Stella 4d, software you can try for free at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged compound, geometry, Mathematics, polyhedra, polyhedron, stellated
1 Comment
Some Tetrahedral Stellations of the Truncated Cube
I created these with Stella 4d, which you may try for free at this website. To make a given polyhedral stellation appear larger, simply click on it.
Posted in Mathematics
Tagged cube, geometry, Mathematics, polyhedra, polyhedron, stellated, stellation, symmetry, tetrahedral, truncated
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Three Stellations of the Truncated Cube
The polyhedron above is the 12th stellation of the truncated cube. The one below is the 14th. The next one shown is the 18th and final stellation. If stellated again, the result is an ordinary truncated cube. These virtual models … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, stellated, stellating, stellation, truncated cube
1 Comment
A Decorated Pentagonal Hexacontahedron, with Three of Its Stellations
This is a pentagonal hexacontahedron, the dual of the snub dodecahedron. It’s decorated with mandalas of the the type I blogged here, two posts ago. The mandalas do interesting things when this polyhedron is stellated, as you can see below. … Continue reading
Posted in Art, Mathematics
Tagged Art, geometric, geometrical, geometry, mathematical, Mathematics, pentagonal hexacontahedron, polyhedra, polyhedron, stellated, stellation
1 Comment