Ray in a Square

​
side length
3
4
5
6
7
new question
What is the
ratio CD/5?
0
A ray enters a square at point
A
, reflects off the top and bottom of the square, and leaves at point
B
with integer coordinates. What is the ratio
|CD|/d
, where
d=1,2,…,7
is the length of the side of the square?

References

[1] A. F. Dunn, Second Book of Mathematical Bafflers, New York: Dover Publications, 1983, p. 50.

External Links

Find the Number of Cubes Removed
Pool Shot

Permanent Citation

Izidor Hafner
​
​"Ray in a Square"​
​http://demonstrations.wolfram.com/RayInASquare/​
​Wolfram Demonstrations Project​
​Published: September 28, 2012