Tag Archives: icosahedron

One Dozen Icosahedra

I made this using Stella 4d, software you can try for yourself right here.

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An Icosahedron Augmented with Twenty Great Icosahedra, together with the Dual of this Cluster-Polyhedron

The cluster-polyhedron 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.

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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

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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 icosahedron-cluster … Continue reading

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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

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A Black-on-Black Polyhedron: The Final Stellation of the Icosahedron

I made this using Stella 4d: Polyhedron Navigator, which you may try for free right here.

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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.

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