A Compound of Three Square Dipyramids

The reason I am not calling this a compound of three octahedra is that the faces of the dipyramids aren’t quite equilateral. They are, however, isosceles.

compound of three square dipyramids

This was created with Stella 4d, which you can buy, or try for free, right here.

More Polyhedra, Including Some Compounds, from the Stellation-Series of the Tetrakis Cube

Tetrakishexa stellation

The next one is a compound of eight off-center pyramids. By this point, I had gone so far into the stellation-series (a search I began when preparing the post before this one) that I had lost count.

compound of eight off-center pyramids

This one is a compound of three short square-based dipyramids:

compound of three short square dipyramids

This one, according to Stella 4d, is a compound of three parts, but I can’t quite figure out what the parts are!

more from the stellation series of the tetrakis cube

Here is another “mystery compound,” this one with two parts:

bizarre two-part compound

Stella 4d, which I used to make these, may be tried here.

A Pulsating Compound of Three Octangular Dipyramids

Image

Pulsating Compound of Three Octangular Dipyramids

Software credit: see http://www.software3d.com/Stella.php for the software used (Stella 4d) to make this image. A free trial download is available.

A Compound of Three Non-Regular Square Diyramids

Image

Compound of Three Non-Regular Square Diyramids

The only irregularity to be found here is that the faces of the dipyramids are isosceles, not equilateral.

Software credit: see this website to try the program I used to make this rotating .gif image. It’s called Stella 4d: Polyhedron Navigator.