Rolling Cycloidal Curves

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.

An -cusped epicycloid can roll inside an -cusped epicycloid with the same generating circle radius and if . The same holds for hypocycloids. A cycloidal gear is effectively an alternating sequence of epicycloidal- and hypocycloidal arcs. An -lobed cycloidal gear can roll inside an -lobed cycloidal gear with the same generating circle radius if .

Contributed by: Erik Mahieu (March 2013)
Open content licensed under CC BY-NC-SA




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.