Curvature of the Trefoil Knot

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

The blue disk is the osculating circle, also known as the kissing circle or the circle of curvature. The blue vector is in the direction of the principal normal and ends at the center of the osculating circle. It has length , the radius of the osculating circle, where is the curvature. The red and green vectors are the tangent and binormal vectors of length 2.

Contributed by: Todd Will (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

detailSectionParagraph


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send