Darwinbots Forum
General => Off Topic => Topic started by: spike43884 on August 09, 2016, 06:46:25 AM
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I was just stopping by because I need 2 mathematical equations (preferably as simple as possible).
Equation 1, needs to be able to check if a position is a specific magnitude away from another position in a 2 dimensional space.
Equation 2 needs to do the same as equation 1, except in a 3 dimensional space.
I have absolutely no idea what equations to use :P
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eq1: (x1 - x2)^2 + (y1 - y2)^2 <= distance^2
For positions (x1, y1) and (x2, y2). It's basically just checking if x2 is within the circle of radius distance centered at x1.
eq2: (x1 - x2)^2 + (y1 - y2)^2 + (z1 - z2)^2 <= distance^2
For positions (x1, y1, z1) and (x2, y2, z2). Same deal, but now it's a sphere.
This extends in to higher dimensions. You just keep adding in squared terms.
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eq1: (x1 - x2)^2 + (y1 - y2)^2 <= distance^2
For positions (x1, y1) and (x2, y2). It's basically just checking if x2 is within the circle of radius distance centered at x1.
eq2: (x1 - x2)^2 + (y1 - y2)^2 + (z1 - z2)^2 <= distance^2
For positions (x1, y1, z1) and (x2, y2, z2). Same deal, but now it's a sphere.
This extends in to higher dimensions. You just keep adding in squared terms.
Thanks.