Circle Inversion of Basic Figures

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.

Explore the circle inversion of six figures. Drag the locators to move and scale the red pre-image. The blue shape is the image after circle inversion in the dashed circle.

Contributed by: Garrett Nelson (June 2014)
Suggested by: Branko Curgus
Open content licensed under CC BY-NC-SA



Inversion of a point in a circle with center and radius to a point is the nonlinear mapping of the plane (except for the point ) to itself defined by , where , , and are collinear. Inversion swaps the interior and exterior of , preserves angles, and maps generalized circles to generalized circles. (A generalized circle is either an ordinary circle or a straight line.)

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.