
Applied Math Applied Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 16th, 2017, 03:15 AM  #1 
Senior Member Joined: Nov 2015 From: USA Posts: 107 Thanks: 6  Need some help with coordinate conversion scheme
For those familiar with my other threads, those threads were purely for fun, this one is meant in complete seriousness however. (though not sure if this is the right place for it) I have a scheme for giving a coordinate address for 2d space with a single number, much like Spiral Honeycomb Mosaic, but for a square grid and simplified. Take a square with address 0. Slice it into quadrants. The top left quadrant is 00, the top right quadrant is 02, the bottom left quadrant is 01, and the bottom right quadrant is 03. With the coordinate as base 4, each digit of the coordinate address is at a particular depth of recursion. Firgure, 00 02 20 22 01 03 21 23 10 12 30 32 11 13 31 33 This is stacked to as many levels as required, filling the entire square with infinite addresses while maintaining locality. Further, when represented as binary, simple logic can be used to find the address of neighboring cells of the same depth. This makes it useful for computers. However, I need some way to convert from this single number address to the X,Y address of Cartesian coordinates (though with quadrant one as the upper left quadrant since this is all for use on computers with potential for computer images). However, I have no idea how to do this. I don't know about space filling curves, which is the only math I can think of that might apply. What do you guys think? And can anyone help me figure this out? 

Tags 
conversion, coordinate, scheme 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
coordinate conversion  tancm  Algebra  0  November 1st, 2012 05:07 AM 
Show the scheme is inconsistent  lu5t  Applied Math  0  June 10th, 2012 07:18 PM 
Polar to Cartesian Coordinate Conversion Help  swm06  Algebra  2  April 13th, 2012 10:34 AM 
predictorcorrector scheme  nad  Computer Science  11  March 23rd, 2011 06:33 AM 
Coordinate conversion  DoodleGal  Linear Algebra  2  May 18th, 2010 10:27 AM 