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Tag Archives: snub dodecahedron
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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Flying Kites into the Snub Dodecahedron, a Dozen at a Time, Using Tetrahedral Stellation
I’ve been shown, by the program’s creator, a function of Stella 4d which was previously unknown to me, and I’ve been having fun playing around with it. It works like this: you start with a polyhedron with, say, icosidodecahedral symmetry, … Continue reading
Posted in Mathematics
Tagged chiral, chirality, geometry, kite, Mathematics, polyhedra, polyhedron, snub dodecahedron, stellated, stellating, stellation, symmetry, tetrahedral
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An Attempt to Blend Five Snub Cubes with One Snub Dodecahedron
Viewers will be the judges of how successful this attempt to blend these polyhedra actually is. I made it using Stella 4d, software you can try right here.
Posted in Mathematics
Tagged blend, blended, five, geometry, Mathematics, polyhedra, polyhedron, snub, snub cube, snub dodecahedron
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