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I came across a plot3d where a non continuous function looked continuous. One way to confirm if it was indeed coninuous was to use style=point

with(plots):
plot3d(Im(sqrt(x+I*y)), x = -2 .. 2, y = -2 .. 2)

plot3d(Im(sqrt(x+I*y)), x = -2 .. 2, y = -2 .. 2, style = point, grid = [70, 70])

With style=point we see a better representation.  One way to show the surface without the inteconnected surface would be to split the graph into two.

a := plot3d(Im(sqrt(x+I*y)), x = -2 .. 2, y = 0 .. 2):
b := plot3d(Im(sqrt(x+I*y)), x = -2 .. 2, y = -2 .. 0):

display(a,b)

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