The Snub Dodecahedron’s Big Brother

triangles and decagons

The polyhedron above reminded me of the snub dodecahedron, which is shown below. Both rotating images were made using Stella 4d, which you can try for yourself — with a free trial download available — right here.

Snub Dodeca

Six Zonohedra

Zonohedra are a subset of polyhedra. In a zonohedron, all the faces are zonogons. A zonogon is a polygon with an even number of sides, as well as having opposite sides both congruent and parallel. This small collection of rotating zonohedra was made using Stella 4d, a program you can try for yourself at this website.

Also, if you want to see a larger version of any one of these zonohedra, simply click on it.

 

A Polyhedron Featuring 42 Regular Decagons

42-regular-decagons-60-each-of-two-types-of-trapezoid-and-20-triangles

In addition to the 42 regular decagons, the faces of this polyhedron include twenty equilateral triangles, sixty yellow trapezoids, and sixty blue trapezoids. That’s 182 faces in all.

The next picture shows what happens if all of the decagons have the same color, the triangles have another, and the trapezoids are hidden from view.

42-regular-decagons-60-each-of-two-types-of-trapezoid-and-20-triangles-reg-only-visible

Both images were created using Stella 4d, software you can try for yourself at this website.