Linked Torus Knots

axis windings

5

core windings

6

hide link copies

major radius
show torus
minor radius

Torus knots are defined by the number of times they wind around the axis of the torus and around its core (i.e., its interior). Coprime winding numbers give simple torus knots. Noncoprime winding numbers can be interpreted as

g

links of simple torus knots, where

g

is the greatest common divisor of the winding numbers. Explore the effects of embedding the knot on tori with modified radii.

External Links

Torus Knot (Wolfram MathWorld)

Link (Wolfram MathWorld)

Permanent Citation

Michael Schreiber

"Linked Torus Knots"
http://demonstrations.wolfram.com/LinkedTorusKnots/
Wolfram Demonstrations Project
Published: September 28, 2007