Ford Circles with Variable Radii

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.

Ford circles are centered at , with radii , where and are coprime integers. Each circle is tangent to the axis at and to two circles from earlier iterations. This Demonstration shows the Ford circles with the extra feature that the radii of the two largest circles are variable. Thus, in each direction, the scaling of the circle of the next level is different. Iteration generates circles. In the limit , each circle becomes tangent to infinitely many other circles.

Contributed by: Ethan Zack and Jonathan Kogan (December 2016)
Open content licensed under CC BY-NC-SA




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.