Ray in a Square

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A ray enters a square at point , reflects off the top and bottom of the square, and leaves at point
with integer coordinates. What is the ratio
, where
is the length of the side of the square?
Contributed by: Izidor Hafner (September 2012)
Open content licensed under CC BY-NC-SA
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Reference
[1] A. F. Dunn, Second Book of Mathematical Bafflers, New York: Dover Publications, 1983, p. 50.
Permanent Citation
"Ray in a Square"
http://demonstrations.wolfram.com/RayInASquare/
Wolfram Demonstrations Project
Published: September 28 2012