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Tag Archives: faceting
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
Ten Different Facetings of the Rhombicosidodecahedron
This is the rhombicosidodecahedron. It is considered by many people, including me, to be the most attractive Archimedean solid. To create a faceted polyhedron, the first step is to get rid of all the faces and edges, leaving only the … Continue reading
Posted in Mathematics
Tagged facet, faceted, faceting, geometry, Mathematics, polyhedra, polyhedron, rhombicosidodecahedron
2 Comments
ZigZag: A Faceting of the Great Rhombcuboctahedron
I made this using Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.
Two Facetings of the Truncated Dodecahedron
I made these using Stella 4d, a program you can try for free at this website.
Posted in Mathematics
Tagged faceted, faceting, geometry, Mathematics, polyhedra, polyhedron, truncated dodecahedron
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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 Faceting of the Rhombcuboctahedron
This particular faceting of the rhombcuboctahedron can also be viewed as a cluster of stella octangulae. I made it using Stella 4d, polyhedronmanipulating software you can try, for yourself, at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged facet, faceted, faceting, geometry, Mathematics, polyhedra, polyhedron, rhombcuboctahedron, rhombicuboctahedron, stella octangula
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A Hollow Faceting of the Rhombicosidodecahedron, and Its Hollow Dual
The images above all show a particular faceting of the rhombicosidodecahedron which, to my surprise, is hollow. It has the vertices of a rhombicosidodecahedron, but two different facetypes, as seen in the smaller pictures: yellow hexagons, and red isosceles trapezoids. … Continue reading
Posted in Mathematics
Tagged faceted, faceting, geometry, hollow, Mathematics, polyhedra, polyhedron, puzzle
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