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Sorting based on the total value of the point in 3 layers

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I have this 4*1*3 data
data(:,:,1) = [12;23;0;2]
data(:,:,2) = [2;1;8;25]
data(:,:,3) = [3;9;4;0]
And I want it to be sorted as so:
data(:,:,1) = [0;12;2;23]
data(:,:,2) = [8;2;25;1]
data(:,:,3) = [4;3;0;9]
The sorting is taking into account the total value of that specific point in all 3 layers, and comparing with the other totals. Then, it sorts in ascending order. I tried using sort command but it dislocates the points from each other in layers (eg 12 2 and 3 are not in the same point anymore). Is there an eloquent way to do this?

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