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Controling the color of a parametric surface.

asked 2014-04-29 15:48:30 -0500

Raul gravatar image

I would like to represent a complex valued function on a parametric surface. I know that the complex_plot function can represent a complex function using colors. Is there a way of using it to color parametric surfaces? In other words, can I define the colors of the points of a parametric surface in terms of the two parameters in a natural and easy way?

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I guess I'm looking for something that looks like the following picture:

Raul gravatar imageRaul ( 2014-04-29 15:59:43 -0500 )edit

If you haven't seen it yet, you could take a look at the answer here: (works for 3d graphs).

niles gravatar imageniles ( 2014-04-30 07:49:17 -0500 )edit

@niles: I have seen that link before, but thanks for sharing it anyway. What I want is a little more complex than that I think. I want the colors to represent the values of a complex-valued function defined on a parametric surface. I don't really know how to adapt the answer given in that thread to achieve what I want. Maybe you have some ideas?

Raul gravatar imageRaul ( 2014-05-01 15:19:57 -0500 )edit

@Raul: Yeah, the answer there didn't work for me either, and I haven't (yet) gotten back to it. This is definitely possible in some sense, but a simple interface to it is not currently available. I don't have anything beyond the sage worksheet linked to from ticket #12212

niles gravatar imageniles ( 2014-05-02 03:50:19 -0500 )edit

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answered 2014-04-30 05:52:10 -0500

Antlab gravatar image

Hi. If I understand correctly, your question is related to this section of the Sage Trac (colormaps on implicit and parametric plots):

It seems that the feature still requires some work.

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I see, thank you for the link. I guess I should have to look for some workaround in the meantime.

Raul gravatar imageRaul ( 2014-05-01 15:17:27 -0500 )edit

Update: This is about to be merged!

kcrisman gravatar imagekcrisman ( 2015-01-22 09:26:26 -0500 )edit

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Asked: 2014-04-29 15:48:30 -0500

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Last updated: Apr 30 '14