Wolfram Demonstrations Project

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

Limited Mandelbar Sets

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.

Consider the mapping . The Mandelbrot set consists of those complex numbers such that the iterates of do not tend to infinity as . Points with an iterate greater than 2 in absolute value diverge and are thus excluded from the Mandelbrot set.

[more]

Now consider taking the complex conjugate and arbitrary powers until the result exceeds an arbitrary value w. The mapping is then . The resulting sets are called Mandelbar sets because of the bar denoting conjugation.

The image plots the region of points having iterates with norms less than w.

[less]

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

Snapshots

Details

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