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Tag Archives: truncated icosahedron
The Compound of the Truncated Isocahedron and the Pentakis Dodecahedron, with Related Polyhedra
The yellowandred polyhedron in the compound below is the truncated icosahedron, one of the Archimedean solids. The blue figure is its dual, the pentakis dodecahedron, which is one of the Catalan solids. The next image shows the convex hull of … Continue reading
Posted in Mathematics
Tagged compound, convex hull, dual, geometry, Mathematics, pentakis dodecahedron, polyhedra, polyhedron, truncated icosahedron
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Seven Different Facetings of the Truncated Icosahedron
The polyhedron above is the truncated icosahedron, widely known as the pattern for most soccer balls. In the image below, the faces and edges have been hidden, leaving only the vertices. To make a faceted version of this polyhedron, these … Continue reading
Posted in Mathematics
Tagged facet, faceted, faceting, geometry, Mathematics, polyhedra, polyhedron, truncated icosahedra, truncated icosahedron
2 Comments
A Faceted Truncated Icosahedron
This is one of many possible facetings of the truncated icosahedron. I made it using Stella 4d, which you can try for yourself at this website: http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged facet, faceted, faceting, geometry, Mathematics, polyhedra, polyhedron, truncated icosahedron
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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
4 Comments
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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