The Mathematica Journal
Departments
Download This Issue
Home
Feature Articles
Graphics Gallery
Tricks of the Trade
In and Out
Columns
The Mathematica Programmer
New Products
New Publications
Classifieds
Calendar
News Bulletins
Editor's Pick
Mailbox
Letters
Write Us
About the Journal
Staff and Contributors
Submissions
Subscriptions
Advertising
Back Issues

Conclusions

An intricate but fast algorithm has been presented that creates the zonohedrification of a polyhedron or an arbitrary star of vectors. It can be used to generate and display a wide variety of interesting, new polyhedra of which a few are shown here. The additional notebook included here, zonohedra1.nb,  generates all these examples. A version of this notebook enhanced by Russell Towle, Towle.nb, is also available.

The only output format illustrated here is Graphics3D, but conversion to other formats is straightforward. Three-dimensional virtual reality versions of these zonohedra are available for viewing on the internet at [7]. A different approach to zonohedra is given in [8], which appeared after this article was written.


Converted by Mathematica      September 30, 1999 [Prev Page][Next Page]