Knots (Geometry and the Imagination)
Library Home || Full Table of Contents || Suggest a Link || Library Help
|Conway, Doyle, Gilman, Thurston; The Geometry Center|
|A mathematical knot is a knotted loop (a knot that can be unknotted is called an unknot). Two knots are considered equivalent if it is possible to rearrange one to the form of the other, without cutting the loop and without allowing it to pass through itself. Knots in a length of string can always be undone by pulling the ends through, so any two lengths of string are equivalent in this sense. If you drop a knotted loop of string on a table, it crosses over itself in a certain number of places. There may be ways to rearrange it with fewer crossings - the minimum possible number of crossings is the crossing number of the knot...|
|Levels:||Middle School (6-8), High School (9-12), College|
|Resource Types:||Manipulatives, Lesson Plans and Activities|
|Math Topics:||Knot Theory|
© 1994- The Math Forum at NCTM. All rights reserved.