A Rhombic Enneacontahedron, Augmented with Sixty Rhombic Dodecahedra, Along with Its Dual

Posted on 3 January 2015 by RobertLovesPi

The dual to this cluster-polyhedron appears below. Both virtual models were created using Stella 4d: Polyhedron Navigator, software available here.

The Rhombic Dodecahedron / Rhombic Triacontahedron Compound

Posted on 12 September 2014 by RobertLovesPi

Stella 4d has this in its built-in library. You can try it at http://www.software3d.com/Stella.php.

A Collection of Four Polyhedra Decorated with Mandalas

Posted on 11 September 2014 by RobertLovesPi

First, a cuboctahedron.

Next, its dual, the rhombic dodecahedron.

And, after that, the icosidodecahedron.

And finally, its dual, the rhombic triacontahedron.

All of these rotating images were assembled using Stella 4d, available at http://www.software3d.com/Stella.php.

A Compound of an Icosahedron and the First Stellation of the Rhombic Triacontahedron

Posted on 6 August 2014 by RobertLovesPi

I stumbled across this compound yesterday, an example of exploratory polyhedral manipulation using Stella 4d producing an unexpected result. If you would like to experiment with a free trial download of this program, before deciding whether or not to purchase the fully-functioning version, simply click here: www.software3d.com/Stella.php.

Zonohedron Featuring 870 Rhombic Faces of 15 Types

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Zonohedron Featuring 870 Rhombic Faces of 15 Types

Software credit: visit http://www.software3d.com/stella.php for more information on the program used to make this rotating image. A free trial download is available.

A Rhombic Triacontahedron, Peeking Through the Faces of an Icosahedron

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A Rhombic Triacontahedron, Peeking Through the Faces of an Icosahedron

Software credit: visit http://www.software3d.com/stella.php for more information on the program used to make this rotating image. A free trial download is available.

A Concentric Dodecahedron, Icosahedron, and Rhombic Triacontahedron

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A Concentric Dodecahedron, Icosahedron, and Rhombic Triacontahedron

Created using Stella 4d, software you can find at www.software3d.com/Stella.php.

Two Saturnian Moons Adorning a Rhombic Dodecahedron

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Two Saturnian Moons Adorning a Rhombic Dodecahedron

The larger moon shown, Saturn’s largest, is Titan, recognizable by its hazy atmosphere. The smaller one, which looks more like our own moon, is Rhea.

This image was captured by the Cassini spacecraft, which has been investigating the Saturnian system now for years.

Projecting the images onto the faces of a rhombic dodecahedron was done with Stella 4d, software you may try for free at http://www.software3d.com/stella.php.

A Polyhedron In Need of a Name

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A Polyhedron In Need of a Name

This is the dual of the polyhedron from the previous post, although without any faces rendered invisible, as was the case with that one. I find it strongly reminiscent of the rhombic triacontahedron, but it has twice as many rhombi (sixty), as well as twenty triangles. Unlike the rhombic triacontahedron, this figure is chiral.

I can’t think of an appropriate name for this, so, if anyone has one, please leave your suggestion in a comment.

Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).