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Tag Archives: icosahedron
An Icosahedron Augmented with Twenty Great Icosahedra, together with the Dual of this ClusterPolyhedron
The clusterpolyhedron above was formed by augmenting a central isocahedron with twenty great icosahedra. The dual of this cluster is shown below. Both these images were created using Stella 4d, which you may try for free at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged cluster, geometry, great icosahedron, icosahedron, Mathematics, polyhedra, polyhedron
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A Second Type of Double Icosahedron, and Related Polyhedra
After seeing my post about what I called the “double icosahedron,” which is two complete icosahedra joined at one common triangular face, my friend Tom Ruen brought my attention to a similar figure he likes. This second type of double icosahedron … Continue reading
Posted in Mathematics
Tagged double, geometry, gyroelongated pentagonal pyramid, icosahedron, J11, Mathematics, polyhedra, polyhedron, stellated, stellation, zonohedra, zonohedron
3 Comments
Augmenting, and Then Reaugmenting, the Icosahedron, with Icosahedra
A reader of this blog, in a comment on the last post here, asked what would happen if each face of an icosahedron were augmented by another icosahedron. I was also asked what the convex hull of such an icosahedroncluster … Continue reading
Posted in Mathematics
Tagged augment, augmentation, augmented, cluster, geometry, icosahedron, Mathematics, polyhedra, polyhedral, polyhedron
6 Comments
The Double Icosahedron, and Some of Its “Relatives”
The double icosahedron is simply an icosahedron, augmented on a single face by a second icosahedron. I thought it might be interesting to explore some transformations of this solid, using Stella 4d: Polyhedron Navigator (available here), and I was not … Continue reading
Posted in Mathematics
Tagged double, geometry, icosahedron, Mathematics, polyhedra, polyhedron
4 Comments
A BlackonBlack Polyhedron: The Final Stellation of the Icosahedron
I made this using Stella 4d: Polyhedron Navigator, which you may try for free right here.
Posted in Art
Tagged Art, final, geometric, geometrical, geometry, icosahedron, mathematical, polyhedra, polyhedron, stellated, stellation
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Icosahedral Blue On Blue
Stella 4d was used to make this image, and you may try it for free by following this link.
Icosahedral Cluster
The great icosahedron, one of the KeplerPoinsot solids, is hidden from view at the center of this cluster. Each of its faces is augmented with a Platonic icosahedron, producing what you see here. Stella 4d is the software I used; … Continue reading
Posted in Mathematics
Tagged cluster, geometry, great, icosahedron, Mathematics, polyhedra, polyhedral, polyhedron
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