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Tag Archives: snub dodecahedron
A Dozen Snub Dodecahedra, Surrounding a Dodecahedral Core
Software used — Stella 4d: Polyhedral Navigator, available as a free trial download at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged cluster, geometry, Mathematics, polyhedra, polyhedral, polyhedron, snub dodecahedron
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The Snub Dodecahedron’s Big Brother
The polyhedron above reminded me of the snub dodecahedron, which is shown below. Both rotating images were made using Stella 4d, which you can try for yourself — with a free trial download available — right here.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, snub dodecahedron
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The Triangles of a Snub Dodecahedron
The snub dodecahedron, one of the Archimedean solids, has eighty faces which are triangles, and twelve pentagonal faces as well. In the view above, the pentagons are rendered invisible, allowing the interior to be viewed as the solid rotates. The … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, snub dodecahedron
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Variations of the Snub Dodecahedron
To make the first of these variations, above, I augmented each triangular face of a snub dodecahedron with an antiprism 2.618 times as tall as the triangles’ edge length, and then took the convex hull of the result. The other … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, snub dodecahedron, solid, variant, variation
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The Snub Dodecahedron and Related Polyhedra, Including Compounds
The dual of the snub dodecahedron (above) is called the pentagonal hexacontahedron (below, left). The compound of the two is shown below, at right. (Any of the smaller images here may be enlarged with a click.) Like all chiral polyhedra, … Continue reading
An Icosahedron, Augmented by Snub Dodecahedra, Plus Two Versions of a Related Polyhedral Cluster
Because the snub dodecahedron is chiral, the polyhedral cluster, above, is also chiral, as only one enantiomer of the snub dodecahedron was used when augmenting the single icosahedron, which is hidden at the center of the cluster. As is the … Continue reading
Posted in Mathematics
Tagged chiral, chirality, cluster, compound, enantiomer, enantiomorphic, geometry, icosahedron, Mathematics, polyhedra, polyhedral, polyhedron, snub dodecahedron
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