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Ray in a Square
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
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Reference
[1] A. F. Dunn,
Second Book of Mathematical Bafflers
, New York: Dover Publications, 1983, p. 50.
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PERMANENT CITATION
Izidor Hafner
"
Ray in a Square
"
http://demonstrations.wolfram.com/RayInASquare/
Wolfram Demonstrations Project
Published: September 28, 2012
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