Five Circles Theorem

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.

Five circles have centers on a fixed circle with radii such that each intersects its two neighbors on the fixed circle. Then their other points of intersection give rise to the sides of a star polygon with vertices on the five circles. The radii of the first four circles can be picked at random as long as the circles complete the chain.

Contributed by: Borut Levart (May 2014)
Open content licensed under CC BY-NC-SA


Snapshots


Details

Click the button to pick circle radii at random.

Reference

[1] D. Wells, The Penguin Dictionary of Curious and Interesting Geometry, London: Penguin, 1991.



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