A Rational Function that Iterates to the Identity

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 function has the property that for all in the extended reals (i.e., can be infinite as well as finite). In the graph, can be taken to be any one of the three points on the axis. The sides of the polygon trace out the steps of the triple composition.

Contributed by: George Beck (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