**Hosted by The Math Forum
**

Fall 97 Archive || MacPOW Home || Math Forum POWs || Search MacPOW

A knot is a closed curve (non-self-intersecting) that cannot be deformed into a simple loop.

Consider curves obtained by using straight segments of unit length from a lattice point to a neighboring lattice point in 3-space. It is easy to make a loop having length 6, and of course a simple little square is a loop of length 4.

What is the shortest knot you can find using curves of this sort?

© Copyright 1997 Stan Wagon. Reproduced with permission.

[**Privacy Policy**]
[**Terms of Use**]

Home || The Math Library || Quick Reference || Search || Help

http://mathforum.org/

The Math Forum is a research and educational enterprise of the Drexel University School of Education.

2 October 1998