
Math General Math Forum  For general math related discussion and news 
 LinkBack  Thread Tools  Display Modes 
May 7th, 2017, 06:18 AM  #1 
Newbie Joined: Dec 2016 From: New York Posts: 4 Thanks: 0  Dimensions, and numbers beyond real numbers
I am not that advanced in math, so the question I am asking might seem really elementary. But while I was watching this video, , I noticed a pattern that 1 dimensional objects need only 1 type of number to move(real numbers) 2 dimensional objects need only 2 types of numbers to move(real and complex) 3 dimensional objects need only 4 types of numbers to move(real,i,j,k) and the pattern is for any nth dimension, the number of points needed is 2^n1 How true is this equation? And I would be really interested to know more about this concept. 
May 7th, 2017, 07:20 AM  #2 
Senior Member Joined: Jun 2015 From: England Posts: 662 Thanks: 187 
What do you mean move?

May 7th, 2017, 10:40 AM  #3 
Newbie Joined: Dec 2016 From: New York Posts: 4 Thanks: 0  
May 7th, 2017, 10:55 AM  #4 
Senior Member Joined: Jun 2015 From: England Posts: 662 Thanks: 187 
So why do you think you need 4 types of number to rotate a 3D object?

May 7th, 2017, 11:47 AM  #5  
Senior Member Joined: Sep 2015 From: Southern California, USA Posts: 1,412 Thanks: 716  Quote:
In two dimensions a single angle, $\theta$, is all that is needed. In three dimensions two angles are necessary I'm going to guess that this continues into higher dimensions and that you need $n1$ angles to rotate an $n$ dimensional object. Basically you've got the product of $n1$ rotation matrices each having it's own parameter. Where the quaternions come in is if you want to translate and rotate a three dimensional object using a single matrix.  

Tags 
complex, dimensions, math, numbers, real 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Real numbers  Congeniality  Math Books  2  June 10th, 2015 08:25 AM 
real numbers  jessjans11  Algebra  9  July 22nd, 2014 03:20 AM 
Let a,b be real numbers such that....  thehurtlooker  Algebra  3  April 9th, 2013 12:58 AM 
Real numbers  greg1313  Applied Math  2  August 11th, 2011 03:45 AM 
Real Numbers  Tartarus  Algebra  2  November 26th, 2009 01:28 PM 