Tag Archives: truncated dodecahedron

Two Facetings of the Truncated Dodecahedron

I made these using Stella 4d, a program you can try for free at this website.

Posted in Mathematics | Tagged , , , , , , | Leave a comment

Some Stellations of the Truncated Dodecahedron

The stellation-series of the truncated dodecahedron contains some interesting polyhedra. Selections from this series appear below. The polyhedron above is the 24th stellation of the truncated dodecahedron, while the one below is the 25th stellation. The polyhedron immediately above is the truncated … Continue reading

Posted in Mathematics | Tagged , , , , , , | Leave a comment

The 21st and 22nd Stellations of the Truncated Dodecahedron

Stellation of a polyhedron involves extending its faces and/or edges into space to form other polyhedra, often with a star-like appearance, which is where the words “stellation,” “stellate,” and “stellated” originate. (“Stella” is Latin for “star.”) Since this can be … Continue reading

Posted in Mathematics | Tagged , , , , , , , , | Leave a comment

A Faceting of the Truncated Dodecahedron, Together with Its Dual

This faceting of the truncated dodecahedron, one of many, was made with Stella 4d, software you can buy, or try for free, here. Here is its dual, below.

Posted in Mathematics | Tagged , , , , , , , , | Leave a comment

The Compound of the Truncated Dodecahedron and Its Dual, the Triakis Icosahedron

I made this using Stella 4d, which you can find at http://www.software3d.com/Stella.php.

Image | Posted on by | Tagged , , , , , , , | Leave a comment

A Cluster of Truncated Dodecahedra

I made this, using Stella 4d, by augmenting each decagonal face of the cluster in the previous post with a truncated dodecahedron. You can give this program a try yourself, for free, at http://www.software3d.com/stella.php.

Image | Posted on by | Tagged , , , , | Leave a comment

A “Bowtie” Expansion of the Truncated Dodecahedron

This polyhedron has the twelve regular decagons and twenty regular triangles of the truncated dodecahedron, but they are moved outwards from the center, and rotated slightly, creating gaps. These gaps are then filled with thirty pairs of isosceles trapezoids in … Continue reading

Image | Posted on by | Tagged , , , , , | Leave a comment