The Twelve Five-Valent Vertices of a Rhombic Triacontahedron, Peeking Through Each Face of a Dodecahedron

Image

The Five-Valent Vertices of a Rhombic Triacontahedron, Peeking Through Each Face of a Dodecahedron

Software credit: see http://www.software3d.com/stella.php — free trial download available.

The Ninth Stellation of the Rhombic Triacontahedron

Image

The Ninth Stellation of the Rhombic Triacontahedron

Created using Stella 4d, which you may try at http://www.software3d.com/Stella.php.

Decorated Rhombic Triacontahedron II

Image

Decorated Rhombic Triacontahedron

Created using Geometer’s Sketchpad, MS-Paint, and Stella 4d. The last of these programs may be tried for free at http://www.software3d.com/stella.php.

Rhombic Triacontahedron Featuring Octadecagonal Designs On Its Faces

Image

Rhombic Triacontahedron Featuring Octadecagonal Designs On Its Faces

The octagonal design on each face appears in the last post here, and was made using both Geometer’s Sketchpad and MS-Paint. After cropping this image, I projected it onto the faces of this polyhedron, the rhombic triacontahedron, using Stella 4d, a program you can try for yourself at http://www.software3d.com/php.

Op Art On a Rhombic Triacontahedron

Image

Op Art On a Rhombic Triacontahedron

The image on each face of this rhombic triacontahedron is the one found in the previous post here, named Ten Circles, and was created with the use of two programs, Geometer’s Sketchpad and MS-Paint.

Placing this image on each face of this polyhedron, as well as creating this rotating .gif file, required use of a third program, Stella 4d. This program may tried and/or purchased at http://www.software3d.com/stella.php.

The Thirty All-Seeing Eyes of the RhombicTriacontahedron

Image

The Thirty All-Seeing Eyes of the RhombicTriacontahedron

Software used:

Decorated Rhombic Triacontahedron

Image

Decorated Rhombic Triacontahedron

This rhombic triacontahedron is decorated with the image found in the last post, which I made using Geometer’s Sketchpad and MS-Paint. Projecting it on the faces, colorizing them, and making this rotating .gif were all done using another program, Stella 4d, which can be found here — http://www.software3d.com/stella.php — with a free trial download available.

I don’t usually post nets for the polyhedra I make, but I’m making an exception for this one:

Rhombic Triaconta

Icosahedron Encasing a Rhombic Triacontahedron

Image

Icosahedron Encasing a Rhombic Triacontahedron

Software credit: http://www.software3d.com/stella.php

Dodecahedron Made of Rhombic Triacontahedra

Image

Dodecahedron Made of Rhombic Triacontahedra

In the last post, I showed that five rhombic triacontahedra can be stuck together to form a pentagonal ring. The next logical step is shown here: using such pentagonal rings to construct an entire dodecahedron made of rhombic triacontahedra.

Software credit: see http://www.software3d.com/stella.php.

Pentagonal Ring of Rhombic Triacontahedra

Image

Pentagonal Ring of Rhombic Triacontahedra

Software credit: http://www.software3d.com/Stella.php.