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Tag Archives: stellated
The Fifth Stellation of the Icosahedron
I made this using Stella 4d, software you can try out for free at this website: http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged fifth, geometry, icosahedron, Mathematics, polyhedra, polyhedron, stellated, stellation
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A Compound of the Great Stellated Dodecahedron and the Great Dodecahedron
In the picture above, each component of this compound has its own color. In the one below, each set of parallel faces is given a color of its own. These images were made using Stella 4d, software you may try … Continue reading
Posted in Mathematics
Tagged compound, dodecahedron, geometry, great, Mathematics, polyhedra, polyhedron, stellated
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Three Versions of a Compound of the Great and Small Stellated Dodecahedra
In the first version of this compound shown here, the great stellated dodecahedron is shown in yellow, while the small stellated dodecahedron is shown in red. In the next version, each face has its own color, except for those in … Continue reading
Posted in Mathematics
Tagged dodecahedra, dodecahedron, geometry, great, Mathematics, polyhedra, polyhedron, small, stellated
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A Pyritohedral, Stellated Polyhedron, and Its Convex Hull
To make this polyhedron using Stella 4d (available here), I began with the dodecahedron, dropped the symmetry of the model from icosahedral to tetrahedral, and then stellated it thirteen times. This stellated polyhedron has pyritohedral symmetry, but this is easier … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, pyritohedral, stellated, stellation, symmetry
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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
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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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