10075
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
SNAPSHOTS
DETAILS
Reference
[1] A. F. Dunn,
Second Book of Mathematical Bafflers
, New York: Dover Publications, 1983, p. 50.
RELATED LINKS
Find the Number of Cubes Removed
(
Wolfram Demonstrations Project
)
Pool Shot
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
Ray in a Square
"
http://demonstrations.wolfram.com/RayInASquare/
Wolfram Demonstrations Project
Published: September 28, 2012
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Reflection of Parallel Rays by a Sphere
Michael Schreiber
Approximation by Rationals
Izidor Hafner
Symmetries of a Square and an Equilateral Triangle
Marc Brodie
Reflections of Polycubes in the Three Coordinate Planes
Izidor Hafner
Steinhaus' Billiard Ball Loop
Izidor Hafner
Conway's Billiard Ball Loop
Izidor Hafner
Enumerating the Rational Numbers
John Stucky
Fundamental Law of Fractions
Jeff Bryant
Devil's Staircase
Enrique Zeleny
Calkin-Wilf Tree of Fractions
Ken Caviness
Related Topics
Rational Numbers
Reflections
Middle School Mathematics
Puzzles and Recreations: Elementary
School Puzzles and Recreations
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+