Look around the Graphics Lab

Regular, Semi-Regular Polyhedra, and thier Duals
(first page)

Prisms, Anti-prisms, Pryamids, and related Polyhedra

Miscellanous Polyhedra: Deltahedra

Johnson Solids -- The other convex polyhedra with regular faces

Why I studied polyhedra, and Image Generation Techniques

Known Polyhedral Mathematical Formula

Data Sources and links for Polyhedral Data

### Data Sources for Polyhedra

Whenever possible I used

**Exact Mathematics** to generate the

"OFF" file data for the polyhedral images
I generate. (See

Mathematical Formula). However
I have only a few of the formulas for this.

One of the best sources I found was George Hart's **Encyclopedia of
Polyhedra**. This however only listed the polyhedra in a VRML (suffix
".wrl") format. However a simple Perl Script I wrote extracted the data and
face data to "OFF" data format. His naming has some faults, particularly the
use of the term "trapezoidal" and "trapezohedron" for polyhedra with kite
shaped faces, which are not "trapezoids" at all. See definition for a Trapezoid.

A Second good source of data was the NetLib Polyhedron
Database, numbered as per the "Holt Polyhedral Library". This database
used their own "poly" data format, which contained not only 3D data but 2D
"nets" of the polyhedron. The data was easily converted to the "OFF" file format, for my own use.
The Polyhedral Database also has some serious faults. First the 3D object
data for Archimedian Polyhedra is completely missing from the source files.
Then for 5 of the Johnson Solids not all the faces are listed. Finally for 2
Johnson Solids, the 3D object data was completely wrong!

For my own raw OFF datafiles (which I publish with the object) I use Exact
Mathematics where possible, then the Polyhedron Database and failing that
George Hart's less accurate VRML data. Generally I also rotated the object so
as to match the orthogonal axises as as closely as I could. This makes it
easier to later position OFF data for various uses later.

A lot of polyhedra has also now been included into Wikipedia, particularly
the polyhedra groups such as,
Polyhedra,
Archimedean,
Catalan,
Deltahedron,
Prism,
Antiprism,
Bipyramid,
Trapezohedron.

Of course there are lots of other types of polyhedra I have not even looked
at, for example

Zonohedron with two extra polyhedra (at the end of the list given), and

Waterman
Polyhedron which are generated from sphere filling convex hulls.

### Links

WARNING: Many of the sources are no longer available. Though I am sure an
equal number of new sources are now online, I have not searched for them,
but should be easy to find via a web search engine.