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Hi,
With the code:

var('x,y')
plot3d(max(x,y), (x, -5, 5), (y, -5, 5))

Why don't I get something symetric by the x=y plane?

This code gives me want I thought I'd get:

var('x,y')
plot3d((x+y+abs(x-y))/2, (x, -5, 5), (y, -5, 5))