Unicursal curves and knot diagrams (Geometry and the Imagination)
Library Home || Full Table of Contents || Suggest a Link || Library Help
|Conway, Doyle, Gilman, Thurston; The Geometry Center|
|A unicursal curve in the plane is a curve that you get when you put down your pencil, and draw until you get back to the starting point. As you draw, your pencil mark can intersect itself, but you're not supposed to have any triple intersections. You could say that you pencil is allowed to pass over an point of the plane at most twice. This property of not having any triple intersections is generic: If you scribble the curve with your eyes closed (and somehow magically manage to make the curve finish off exactly where it began), the curve won't have any triple intersections...|
|Levels:||Middle School (6-8), High School (9-12), College|
|Resource Types:||Lesson Plans and Activities|
|Math Topics:||Knot Theory|
© 1994- The Math Forum at NCTM. All rights reserved.