My Math Forum  

Go Back   My Math Forum > Math Forums > Math

Math General Math Forum - For general math related discussion and news


Reply
 
LinkBack Thread Tools Display Modes
September 19th, 2014, 10:54 PM   #1
Newbie
 
Joined: Sep 2014
From: bhubaneswar

Posts: 1
Thanks: 0

get angle after n reflection inside a square

Is there a general formula that tell what angle a line will make on the side of a square after it makes n reflection on the sides of the square. Provided the first angle it make on one side of the square at a certain point.

It is sure after n reflection, the line is going to make a certain angle at a certain point at a certain side of the square.

What I know, how a computer find the above, is by calculating each reflection and arriving at the n reflection.

Thanks.
Attached Images
File Type: jpg carrom.jpg (19.6 KB, 0 views)
rajeshmarndi is offline  
 
September 20th, 2014, 03:11 PM   #2
Global Moderator
 
Joined: May 2007

Posts: 6,821
Thanks: 723

At each collision the angle of incldence equals the angle of reflection. If the next collision is with a perpendicular wall, the angle is the complement. If the next collision is with the parallel wall, the angle is the same.

The computer problem is then determining which wall is hit after n collisions. This is a somewhat messy, but straightforward geometry calculation.
mathman is offline  
Reply

  My Math Forum > Math Forums > Math

Tags
angle, inside, reflection, square



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Largest square inside a cube proglote Algebra 16 June 11th, 2011 03:50 PM
Reflection julian21 Algebra 1 July 21st, 2010 06:20 PM
Finding the area of a square with right angle lines vnonwong Algebra 3 October 14th, 2009 05:09 AM
Formula For This Reflection envision Algebra 0 October 3rd, 2009 06:30 PM
Formula For This Reflection envision Applied Math 0 December 31st, 1969 04:00 PM





Copyright © 2019 My Math Forum. All rights reserved.