Tag Archives: rhombic dodecahedron

The Compound of the Rhombic Dodecahedron and Its Own Third Stellation

I used Stella 4d to make this polyhedral compound, and this program may be tried for free at this website.

Image | Posted on by | Tagged , , , , , | 1 Comment

A Transparent Rhombic Dodecahedron

Created using Stella 4d, a program available at this website: http://www.software3d.com/Stella.php.

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

A Hollow, Five-Color Version of the Compound of Five Rhombic Dodecahedra

I made this using Stella 4d, software you can find at http://www.software3d.com/Stella.php. I also make a second version, with larger spheres and cylinders for the vertices and edges:

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

A Rhombic Ring of Icosahedra, Leading to a Rhombic Dodecahedron Made of Icosahedra

As it turns out, eight icosahedra form this rhombic ring, by augmentation: Measured from the centers of these icosahedra, the long and short diagonal of this rhombus are in a (√2):1 ratio. How do I know this? Because that’s the … Continue reading

Posted in Mathematics | Tagged , , , , , , , , , , , | 2 Comments

Various Views of Three Different Polyhedral Compounds: Those of (1) Five Cuboctahedra, (2) Five of Its Dual, the Rhombic Dodecahedron, and (3) Ten Components — Five Each, of Both Polyhedra.

Polyhedral compounds differ in the amount of effort needed to understand their internal structure, as well as the way the compounds’ components are assembled, relative to each other. This compound, the compound of five cuboctahedra, and those related to it, … Continue reading

Posted in Mathematics | Tagged , , , , , , , , , , , , , | 1 Comment

The Compound of the Truncated Octahedron and the Rhombic Dodecahedron

I created this compound using Stella 4d, software you may try at this website.

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

A Rhombic Dodecahedron, Built from Icosahedra and Octahedra

I assembled this using Stella 4d, software available here.

Posted in Mathematics | Tagged , , , , , , | 2 Comments