Ray in a Square
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?
A
B
|CD|/d
d=1,2,…,7
References
References
[1] A. F. Dunn, Second Book of Mathematical Bafflers, New York: Dover Publications, 1983, p. 50.
External Links
External Links
Permanent Citation
Permanent Citation
Izidor Hafner
"Ray in a Square"
http://demonstrations.wolfram.com/RayInASquare/
Wolfram Demonstrations Project
Published: September 28, 2012