## What is a polyhedron?

First we define a polygon. This is a flat area surrounded by straight lines
for example:
A Polyhedron is the 3-dimensional version of a polygon.

It is made by joining polygons along their edges. For example six squares
can be joined to form a **cube**:
Other examples of polyhedra can be found here.

There are many books on polyhedra; here is a list
of some of the ones we have used.

## Why are Polyhedra useful?

*Boxes*

Most containers that we use today are polyhedra - usually cuboids which have
six rectangular faces. However all that is really needed is that the
container is closed (*it has an inside and an outside*) and other
types of polyhedra can make attractive boxes. You can design these using
our programs, send them to *!Draw* and decorate
them with Clipart before cutting out the 2-dimensional form and folding it
and glueing it to make a box. You can download some examples here. In particular, there are some boxes to make in the shapes of the 7 crystal classes.
*Condensed matter and materials science*
*Studies of symmetry*
*Mathematical recreation*

You can create any number of new polyhedra using our
!Stellate program.

*Page last updated 11 September 2003*

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