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Tag Archives: pyritohedral
A Nonconvex, Pyritohedral Dodecahedron with Nonconvex Pentagonal Faces
I created this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php. Starting with the Platonic dodecahedron, I dropped the symmetry of the model down from icosahedral to tetrahedral, then stellated it six times. I also put the … Continue reading
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, nonconvex, pentagon, polyhedra, polyhedron, pyritohedral, pyritohedron
1 Comment
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 Compound of an Octahedron and a Pyritohedral Dodecahedron
I made this using Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged compound, dodecahedron, geometry, Mathematics, octahedron, polyhedra, polyhedral, polyhedron, pyritohedral
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A Pyritohedral Polyhedron Featuring Only Hexagonal and Rhombic Faces
Software credit: I used Stella 4d to make this, and you can find that program at http://www.software3d.com/Stella.php, with a free trial download available there.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, pyritohedral
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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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A Pyritohedral and PentagonFaced Polyhedron
Twelve of the faces of this polyhedron are pink, and the other twentyfour are blue. It has no faces which are not pentagons. I made it using Stella 4d: Polyhedron Navigator, which is avialable at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, Mathematics, pentagon, polyhedra, polyhedron, pyritohedral, pyritohedral symmetry
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A Compound of Two Pyritohedral Dodecahedra
I made this compound using Stella 4d, a program which is available here: http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged compound, dodecahedra, dodecahedron, geometry, Mathematics, polyhedra, polyhedron, pyritohedral
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