The Penrose Unilluminable Room

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.

In the early 1950s, Ernst Straus asked if a single candle could illuminate an entire room made with mirrored walls, no matter what the shape of the room. In 1958, a young Roger Penrose used the properties of the ellipse to make a room that would always have dark regions, regardless of the position of the candle. In this Demonstration, the locator is the candle, and regions of the room are white (lit) or gray (dark). The red points are the foci of the half ellipses at the top and bottom of the room.

Contributed by: Ed Pegg Jr (March 2011)
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.