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implicit plot with different scales on x and y axes

asked 2018-02-13 22:03:13 -0500

pratarpersilja gravatar image

Say I want to plot implicit_plot(x^2 + 10000*y^2 - 2, (x,-3,3), (y,-0.03,0.03)), or anything else where the interesting values of x and y varies over different orders of magnitude. At least on my machine, the result is a completely illegible png, squished into nothingness.

http: //  i187.photobucket.com/albums/x207/pratarpersilja/scaling_unusable_zpsspbvecof.png

(I wasn't allowed to add clickable links).

Of course, in this particular case I could rewrite the expression manually until the x and y ranges are the same. In the case that inspired these experiments in the first place, that rewrite is not realistic to do by hand.

How do I force an implicit plot to not have the same number of pixels per numerical unit in x and y directions?

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slelievre gravatar imageslelievre ( 2018-02-14 01:29:27 -0500 )edit

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answered 2018-02-14 01:26:05 -0500

slelievre gravatar image

The aspect ratio (how many times to scale y with respect to x) can be specified.

An example (using lambda to avoid having to define x and y as symbolic variables):

sage: implicit_plot(lambda x, y: x^2 + 10000*y^2 - 2, (-3,3), (-0.03,0.03), aspect_ratio=10)
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Asked: 2018-02-13 22:03:13 -0500

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Last updated: Feb 14