Here you will find a collection of
knots and links, viewed
from a (mostly) mathematical
perspective.
Nearly all of the images here were created with
KnotPlot,
a fairly elaborate
program to visualize and
manipulate mathematical knots
in three and four dimensions.
You can download KnotPlot and try it on your computer (see the link
below), but first you may want to look at some of the images in
the picture gallery.
Note: If you are referencing this page off a CD-ROM, you are
seeing a "snapshot" of the KnotPlot Site at a particular date.
If you have internet access, go to the
KnotPlot Site on
the web.
That web site, like all web sites, is constantly changing
(maybe even improving).
Knot Pictures
Check out the
mathematical knots
(M)
page as well
to see more knot pictures.
Or try some of the following examples to see some knots in a different
light.
The pages marked with
have been updated or created as of 15 May 2000.
Those marked with an
M have at least one
MPEG animation.
Knots can be loaded from a database of almost 1000 knots and links
or sketched by hand in three dimensions.
Also, knots may be constructed via the Conway notation or
using a tangle calculator.
A number of special knot types
(torus knots, knot
chains,
Lissajous knots)
may be created on the fly.
Finally, new knots can be created from old knots using a
number of
transformations.