I made this using Stella 4d, which you can try for free right here. In the image above, the two components of this compound are given separate colors. In the second picture, below, the coloring is per face, except for parallel faces, which have the same color.
Tag Archives: compound
A Three-Part Polyhedral Compound Derived From an Enneagonal Prism
I made this using Stella 4d, which you can try for free at this website.
Two Polyhedral Compounds Derived From Catalan Solids
The second stellation of the dysdyakis triacontahedron, seen above, is an interesting two-part polyhedral compound. The dysdyakis triacontahedron is one of the Catalan solids, and is the dual of the great rhombicosidodecahedron.
There’s also a “little brother” to this first compound — it’s the second stellation of the dysdyakis dodecahedron, which is the dual of the great rhombicuboctahedron. Like its “big brother,” it’s a two-part compound. It is shown below.
Interestingly, the components of these two compounds are “stretched” versions of two other Catalan solids: the pentagonal hexecontahedron (dual of the snub dodecahedron), and the pentagonal icositetrahedron (dual of the snub cube).
I made these virtual models using Stella 4d, which you can download and try for free at http://www.software3d.com/Stella.php.
Three Different Compounds of the Octahedron and the First Stellation of the Rhombic Dodecahedron
These compounds differ in the relative sizes of their components. I made all three using Stella 4d, which you can try for free right here.
Three Two-Part Compounds Similar to Kepler’s “Stella Octangula”
I made these using Stella 4d: Polyhedron Navigator. You can give this software a try, right here, for free.
Two Six-Part Polyhedral Compounds
I stumbled across this compound the other day, while playing around with Stella 4d: Polyhedron Navigator (available here).
At first, I thought this was a compound of six tetrahedra, but careful examination reveals that the tetrahedra are missing parts along the middle of some of their edges. I looked up the canonical compound of six tetrahedra in Stella‘s library, and here it is. As you can see, it’s quite similar — but it does have those “missing” pieces added.
A Four-Part Polyhedral Compound
I stumbled across this while playing around with my favorite polyhedron-manipulation tool, Stella 4d. You can try this program for free at http://www.software3d.com/Stella.php.
The Compound of the Icosahedron and the Small Stellated Dodecahedron
I made this using Stella 4d, which you can try for free here.
A Compound of the Truncated Dodecahedron and the Truncated Icosahedron
I made this using Stella 4d, a program you can try for free at this website.
A Compound of the Platonic Octahedron and a Pyritohedral Dodecahedron
The red component of this compound is one of an infinite number of possible pyritohedral dodecahedra. It’s shown by itself in the image below.
I made this compound using Stella 4d, a program you can try for free at http://www.software3d.com/Stella.php.