Modifying a Snub Dodecahedron

The polyhedron shown above is the snub dodecahedron, which is one of the Archimedean solids. The one shown below is its first stellation.

Next, each of the yellow faces was augmented with a tall prism.

The next step was to form the convex hull of the polyhedron above.

Finally, I used Stella 4d‘s “try to make faces regular” function on this convex hull. The result is below, and has 242 faces.

If you would like to try Stella 4d, the software I used to do all of this, simply visit http://www.software3d.com/Stella.php, and look for the free trial download.

An Expanded Snub Dodecahedron

To make this polyhedron, I started with a snub dodecahedron. Next, I augmented all triangular faces of it with prisms, then took the convex hull of the result. Finally, I used Stella 4d‘s “try to make faces regular” function on the convex hull.

An expanded snub dodecahedron

If you’d like to try the trial version of Stella for yourself, the website to visit is http://www.software3d.com/Stella.php.

The Snub Dodecahedron’s Big Brother

triangles and decagons

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.

Snub Dodeca