This was created using *Stella 4d: Polyhedron Navigator*. You may try this program for free at this website.

# Tag Archives: compound

# A Polyhedral Journey, Starting with the Compound of Five Dodecahedra

This is the compound of five dodecahedra, a shape which is included in the built-in polyhedral library of *Stella 4d*, a program you can try for yourself, free, right here.

I wanted to see what I could make, starting from this compound. My first modification to it was to create its convex hull, which is shown below.

The next move was to use *Stella*‘s “Try to Make Faces Regular” function, which produced this:

Next, I augmented this figure’s thirty yellow rhombi with prisms.

I then created the convex hull of this augmented polyhedron.

Next, I used the “Try to Make Faces Regular” function again, producing a solid that looks, to me, like a hybrid of the rhombicosidodecahedron and the rhombic triacontahedron.

This polyhedron has yellow faces that are almost squares. Careful inspection reveals that they are actually isosceles trapezoids. The next thing I did was to augment each of these trapezoids with a tall prism.

The next step was to, again, create the convex hull.

That was the end of this polyhedral journey, but I am confident there will be others.

# A Compound of Three Elongated Tetrahedra

I made this using *Stella 4d*, a program you can try for free at http://www.software3d.com/Stella.php.

# Five Tetrahedra

I made this variation of Kepler’s* Stella Octangula*, using *Stella 4d*, software you can try for free at this website.

# A Compound of Ten Hexagonal Prisms

I created this polyhedral compound by faceting a great rhombicosidodecahedron, using *Stella 4d*. You can try this program for free at http://www.software3d.com/Stella.php.

# A Compound of the Rhombic Triacontahedron and a Truncation of the Icosahedron

In the compound above, the yellow hexagons are not quite regular, which is why I’m calling the yellow-and-orange polyhedron *a* truncation of the icosahedron, rather than simply *the* truncated icosahedron. I stumbled upon it while playing with *Stella 4d*, which you may try for free at http://www.software3d.com/Stella.php.

# The Compound of Five Rhombic Dodecahedra

This is the compound of five rhombic dodecahedra, with each component shown in a different color. This is one of the few well-known polyhedral compounds which is actually more attractive with the faces hidden, and that’s what’s shown in the next image.

I made these images using *Stella 4d: Polyehdron Navigator*, which you can try for free at http://www.software3d.com/Stella.php.

# A Compound of Three Elongated Octahedra

This compound is the 16th stellation of the tetrakis hexahedron, the Catalan solid which is the dual of the Archimedean truncated octahedron. I made it using* Stella 4d*, which you can try for free at http://www.software3d.com/Stella.php.

# A Compound of Six Pentadecagonal Prisms

This chiral polyhedral compound was generated from a partial faceting of the polyhedron shown in the last post here, using *Stella 4d*‘s faceting function, plus its “try to make faces regular” operation afterwards. Making the six-prism compound in the first place was suggested by Tony Hartley, on Facebook, where I posted a link to that last post in a mathematical group for discussion. Thanks, Tony!

If you’d like to try *Stella* for yourself, the site to visit for a free trial download is http://www.software3d.com/Stella.php.

# Compound of Three Elongated Octahedra

This was created using *Stella 4d*, software you may try for free at this website.