Tag Archives: cuboctahedra

Octahedra and Cuboctahedra Can Fill Space Without Leaving Any Gaps

I created this image using Stella 4d, which you can try for free right here. It’s much like a tessellation, but in three dimensions instead of two.

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

Honeycomb Made of Cuboctahedra and Octahedra

This is the three-dimensional version of what is called a tessellation in two dimensions. It fills space, and can be continued in all directions. Software used: Stella 4d, available here.

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

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