WOLFRAM|DEMONSTRATIONS PROJECT

Ray in a Square

side length

3

4

5

6

7

new question

What is the

ratio CD/5?

0

A

B

C

D

1

2

3

4

1

2

3

4

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?