unlink

simple link

Borromean rings

**Links** are made up of more than one strand. Here are some examples,
starting with the unlink, and including the famous figure of the
**Borromean Rings**, which is made up of three linked squashed circles of which any
two are unlinked. John Robinson's sculpture **Bonds of Friendship** is an example of a link.

trefoil

the quadroil is a link

cinquefoil

the hexoil is a link

septoil

nonoil

In attempting to reduce the tangle of knots and links to some
kind of order, we also study families of knots and links. Above
is shown how one series of knots and links in a family gets more
and more complicated. This is a series of **torus knots** and links.

pretzel knot

Another family of knots is made like the figure eight. There are even more complicated families as on the right.

How many strands are there in the knots and links on this page?
How many colours are needed? Mathematics starts with **curiosity! **

**© Mathematics and Knots, U.C.N.W.,Bangor, 1996 - 2002**

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