How to Order (x,y) Coordinates in Mathematica?

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SUMMARY

This discussion focuses on ordering (x,y) coordinates in Mathematica using the Sort function. The user seeks to sort a list of coordinates while maintaining the integrity of associated data in multiple columns. The proposed solution involves defining a custom ordering function, p, that first compares the x values and then the y values if the x values are equal. This method ensures that the coordinates are sorted correctly according to the specified criteria.

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HannahB
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Hi everyone,

Is it possible to order a list of (x,y) coordinates in Mathematica by x, then y? I currently have a number of data files in which there are 5 columns: x, y, area, circularity, radius. I would like to order the list by x and y coordinates while keeping the rows intact.

Thank you
 
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There is
Code:
Sort[list, p]
sorts using the ordering function [i]p[/i].

For p you could use something like
Code:
p[a_, b_] := (a[[1]] < b[[1]]) || (a[[1]] == b[[1]] && a[[2]] < b[[2]])
 

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