Wolfram Demonstrations Project

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

Hironaka's Curve

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.

Hironaka's curve (sometimes called Hironaka's M-curve) is a fractal generated by starting with two line segments, and repeatedly scaling and translating the resulting figure. This Demonstration shows the first several approximations.

Contributed by: Robert Dickau (June 2016)
Open content licensed under CC BY-NC-SA

Snapshots

Details

References

[1] G. A. Edgar, Measure, Topology, and Fractal Geometry, New York: Springer-Verlag, 1990 pp. 203–204.

[2] R. Dickau. "Hironaka's Curve." (Jun 3, 2016) robertdickau.com/hironaka.html.

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