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# Tag Archives: rhombic triacontahedron

## 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

Sharp-eyed, 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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## Two Versions of a Slowly Rotating Rhombic Triacontahedron, Adorned with Spectral Patterns on Each Face

It took three programs to make this. First, outlines of the “double rainbow” patterns on each face were constructed using Geometer’s Sketchpad. A screenshot from that program was then pasted into MS-Paint, which was used to add color to the … Continue reading

Posted in Art, Mathematics
Tagged Art, geometrical, geometry, math, mathematical, Mathematics, polyhedra, rainbow, rhombic triacontahedron, spectral, spectrum
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