Wolfram Demonstrations Project

12,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

Elliptic Epitrochoid

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

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

This Demonstration traces the path of a point (known as the pole or generator) fixed to an ellipse that rolls without slipping around a stationary base ellipse.

[more]

Moving the pole inside or outside the rolling ellipse makes the elliptic epitrochoid either curtate or prolate.

Changing the eccentricity of either ellipse creates a great variety of curves.

[less]

Contributed by: Erik Mahieu (December 2017)
Open content licensed under CC BY-NC-SA

Snapshots

Details

Also define two angles:

Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
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