Zonohedra Based on the Pentagonal Dipyramid

Here’s a pentagonal dipyramid. It’s one of the Johnson solids.

j13

The polyhedra-manipulation software I use, Stella 4d (available as a free trial download right here), lets the user make zonohedra from various “seed” polyhedra. When I made one with zones based on the vertices of the pentagonal dipyramid, a decagonal prism was the result. This surprised me; I wasn’t expecting to see a familiar polyhedron.

zonohedrified penta dipyramid v

Other selections gave me the results I expected: polar zonohedra I had never seen before. Here’s the one based on the edges of the pentagonal dipyramid.

zonohedrified penta dipyramid e

The next one is based on the pentagonal dipyramid’s faces.

zonohedrified penta dipyramid f

Here’s one based on vertices and edges:

zonohedrified penta dipyramid v e

This next one is based on vertices and faces.

The next one is based on edges and faces.

Finally, here’s the last one, with zones based on the faces, edges, and vertices of a pentagonal dipyramid.

Published by

RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things, a large portion of which are geometrical. Welcome to my little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with the views of my employer, nor any other organization, nor institution, of any kind.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s