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To add colors to the surface you need to pass color data to the plot command.
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As in this example, you can just reuse the z value. Alternatively you could
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pass some independend color data. ...
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To bring colors instead of black/white to the surface, you need to change the
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gradient. Be sure to use the same color space for the gridcolor and the
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! In this example we also modified the projector. By that you can change the
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view angle, and you can also (as in this example) use a parallel projection
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instead of the default central projection. While the later looks more natural,
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a parallel projection keeps lines parallel independend from their depths. An
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very simple justification of the parallel projection is the vertical z axis,
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which stays vertical in the projection. Also the linear axes have equal
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distances between the ticks, which is not true for central projections.
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! Skipping the value for the z component will allow you to plot this surface
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on a two-dimensional graph as well.