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Tag Archives: symmetry
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 Miscellany of Polyhedra with Icosidodecahedral Symmetry
All of these polyhedra were made using Stella 4d: Polyhedron Navigator. If you’d like to try this program yourself, simply visit http://www.software3d.com/Stella.php, where a free trial download is available.
Posted in Mathematics
Tagged geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, symmetry
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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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Tetrahedrally-Symmetric Creatures with Polyhedral Legs
Each of these has a tetrahedron hidden from view in the center. These were made using Stella 4d, which you may try for yourself here.
Posted in Art, Mathematics
Tagged geometric, geometrical, geometry, mathematical, Mathematics, polyhedra, polyhedron, symmetry, tetrahedral
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A Gallery of Two Dozen Polyhedra with Icosidodecahedral Symmetry, with a Few of Them Chiral
Any of these rotating polyhedra may be made larger with a click. I created them using Stella 4d, a program you may try (as a free trial download) at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, symmetry
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A Gallery of Fourteen Polyhedra with Cuboctahedral Symmetry
Any of these rotating polyhedra may be made larger with a single click. All were created using Stella 4d, a program you may try for free at this website: http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged cuboctahedral, geometry, Mathematics, octahedral, polyhedra, polyhedron, symmetry
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A Tetrahedral Exploration of the Icosahedron
Mathematicians have discovered more than one set of rules for polyhedral stellation. The software I use for rapidly manipulating polyhedra (Stella 4d, available here, including as a free trial download) lets the user choose between different sets of stellation criteria, … Continue reading
Posted in Mathematics
Tagged cuboctahedral, geometry, icosahedral, icosahedron, icosidodecahedral, Mathematics, octahedral, polyhedra, polyhedral, polyhedron, pyritohedral, solid, stellation, symmetry, tetrahedral
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