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Tag Archives: truncated icosahedron
A Truncated Icosahedron, Formed By Silver Pipes, and Gold Fastenings
I made this preciousmetal version of the truncated icosahedron using Stella 4d, a program which is available here: http://www.software3d.com/Stella.php.
Posted in Art, Mathematics
Tagged Art, geometry, gold, Mathematics, polyhedra, polyhedron, silver, truncated icosahedron
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A Cluster of 33 Truncated Icosahedra
There is one truncated icosahedron at the center of this cluster, and each of its 32 faces is augmented with another truncated icosahedron, for a total of 33. I built this cluster using Stella 4d, software available here.
Posted in Mathematics
Tagged cluster, geometry, Mathematics, polyhedra, polyhedron, truncated icosahedron
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A Pyritohedral ColoringScheme for the Truncated Icosahedron
While the polyhedron above, informally known as the “soccer ball,” has icosidodecahedral symmetry, its coloringscheme does not. Instead, I colored the faces in such a way that the coloringscheme has pyritohedral symmetry — the symmetry of a standard volleyball. This … Continue reading
Posted in Mathematics
Tagged color, coloring, geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, pyritohedral, soccer ball, symmetry, truncated icosahedron, volleyball
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The Compound of the Truncated Icosahedron and the Rhombic Triacontahedron
I put these two polyhedra together using Stella 4d: Polyhedron Navigator. If you’d like to try this program yourself, for free, this website is the one to visit: http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged compound, geometry, Mathematics, polyhedra, polyhedron, rhombic triacontahedron, truncated icosahedron
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A Truncated Icosahedron, with Hexagons Augmented By Triangular Pyramids, in a Chiral Pattern
I made this using Stella 4d: Polyhedron Navigator, software available here.
Posted in Mathematics
Tagged augmentation, augmented, chiral, chirality, geometry, Mathematics, polyhedra, polyhedron, truncated icosahedron
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Two of Many Possible Facetings of the Truncated Icosahedron
I made these faceted polyhedra, both facetings of the truncated icosahedron, using Stella 4d, software available here.
Posted in Mathematics
Tagged facet, faceted, faceting, geometry, Mathematics, polyhedra, polyhedron, truncated icosahedron
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Buckminsterfullerene Molecular Models: Three Different Versions
Buckminsterfullerene, a molecule made of 60 carbon atoms, and having the shape of a truncated icosahedron, is easily modeled with Stella 4d: Polyhedron Navigator (see http://www.software3d.com/Stella.php to try or buy this program). The first image shows the”ball and stick” version … Continue reading