The 26-Sided Unilluminable Room
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If a candle is inside a room with mirrored walls, can any portion of the room be dark? In 1958, a young Roger Penrose found an unilluminable room with elliptical sides. In 1995, George Tokarsky proved that a light ray starting from one corner of a mirrored 45 degree triangle could never return to that corner. From that, he built a 26-sided room such that a single point of light would lead to a single point of darkness elsewhere in the room. The red dots are a pair of points that theoretically cannot illuminate each other.
Contributed by: Michael Trott (March 2011)
Open content licensed under CC BY-NC-SA
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"The 26-Sided Unilluminable Room"
http://demonstrations.wolfram.com/The26SidedUnilluminableRoom/
Wolfram Demonstrations Project
Published: March 7 2011