# A Parade of Surfaces

## a pictorial introduction to singularity theory

This page and its links present a pictorial introduction to
singularity theory. You'll find examples of many of the surface
which occur in singularity theory. There is also a link to the
basic definition which you'll need to understand the mathematics
behind the theory.

As well as GIF pictures we also have some 3D models, in
Virtual Reality Modelling Language
VRML format.

Time for a bit of an advert. All the pictures and 3D models were constructed
using the Liverpool Surface
Modeling Package which I have written. This package can create
both parametrised and implicit surfaces and whats more get the
singularities right.

You can actually try out some 3D surfaces over the web.

You might like to have a look at some of my
Papers
which discuss drawing algrbraic varieties/
implicit surfaces, all you ever wanted to know about third order
features of surfaces and a general discussion on drawing mathematical
objects.