Zonohedra are a subset of polyhedra with all faces in pairs of parallel and congruent zonogons. Zonogons are polygons with sides which occur only as parallel and congruent pairs of line segments. As a consequence of this, the faces of zonohedra must have even numbers of sides.

Considering all the restrictions on zonohedra, it may be surprising that there is so much variety among them. Every polyhedron shown in this post is a zonohedron. The colors are chosen so that all four-sided zonogons have one color, all six-sided zonogons have a second color, and so on.

I made all of these using *Stella 4d: Polyhedron Navigator*. This program may be tried for free at this website.

### Like this:

Like Loading...

*Related*

Unique geometric art

LikeLiked by 1 person

Thank you!

LikeLike

I think they look great! My favourite is the 5th one.

LikeLike