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Tag Archives: rhombic triacontahedron
Using Rhombic Triacontahedra to Build an Icosidodecahedron
These two polyhedra are the icosidodecahedron (left), and its dual, the rhombic triacontahedron (right). One nice thing about these two polyhedra is that one of them, the rhombic triacontahedron, can be used repeatedly, as a buildingblock, to build the other … Continue reading
Posted in Mathematics
Tagged geometry, icosidodecahedron, Mathematics, polyhedra, polyhedron, rhombic triacontahedra, rhombic triacontahedron
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A Transparent Rhombic Triacontahedron
I made this using Stella 4d: Polyhedron Navigator. You may try this software, for free, at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, rhombic triacontahedron
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One of Many Possible Facetings of the Rhombic Triacontahedron
The simplest way I can explain faceting is that it takes a familiar polyhedron’s vertices, and then connects them in unusual ways, so that you obtain different edges and faces. If you take the convex hull of a faceted polyhedron, … Continue reading
Posted in Mathematics
Tagged facet, faceted, faceting, geometry, Mathematics, polyhedra, polyhedron, rhombic triacontahedron
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92 Dodecahedra, Arranged as a Single Rhombic Triacontahedron
With 92 dodecahedra, if you arrange them just right, you can make a model of a rhombic triacontahedron: For purposes of comparison, here is what the rhombic triacontahedron normally looks like: Also, referring back to the first model shown, here … Continue reading
Posted in Mathematics
Tagged dodecahedra, dodecahedron, geometry, polyhedra, polyhedron, rhombic triacontahedron
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The Final Stellation of the Rhombic Triacontahedron, Together with Its Dual, a Faceting of the Icosidodecahedron
Sharpeyed, regular readers of this blog will notice that this is the same polyhedron shown in the previous post, which was described as the “final stellation of the compound of five cubes,” due to the coloring scheme used in the … Continue reading
Posted in Mathematics
Tagged dual, faceted, faceting, final, geometry, icosidodecahedron, Mathematics, polyhedra, polyhedron, reciprocal, rhombic triacontahedron, stellated, stellation
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A Compound of an Icosahedron and the First Stellation of the Rhombic Triacontahedron
I made this compound using software called Stella 4d: Polyhedron Navigator. This program may be purchased (or a trial download tried for free) at this website.
Posted in Mathematics
Tagged compound, geometry, icosahedron, Mathematics, polyhedra, polyhedral, polyhedron, rhombic triacontahedron, stellated, stellation
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