Wolfram Demonstrations Project

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

Fractal Patterns from a Substitution Blueprint

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.

The "kernel" is a blueprint for constructing a self-similar figure. At iteration , a new image is produced based on the kernel in the following ways:

[more]

• If the entry in the kernel corresponding to a segment of the image is black, that segment is colored black.

• If its corresponding entry is white, the segment is colored white.

• If its corresponding entry is gray, the segment is replaced with a scaled copy of the entire image as it appeared at iteration .

Under the buttons on the left, the area of the black portion of the figure is given, both as of the current iteration and in the limit. For best results, set the controls from top to bottom. Clear kernel for a new figure.

[less]

Contributed by: Ethan Beihl (November 2016)
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