Square Koch Fractal 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.

The classic Koch fractal curve is recursively created by starting with a line segment and then recursively adding a triangular bend in the center of each segment. Variations can be created by using a square shape instead of a triangle in the replacement rule. The type 1 curve is a direct analogy to the classic Koch curve, replacing each line segment with five smaller segments placed at right angles. The type 2 quadratic curve—also known as the 3/2 curve and the eight-segment Koch curve—uses a similar motif that replaces each segment with eight smaller segments.

Contributed by: Robert Dickau (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