Hi!

Lately there was an intriguing math video on youtube that referred to
the Weierstrass elliptic function:

https://youtu.be/5RHSS-zMaAQ?t=559

https://en.wikipedia.org/wiki/Weierstrass_elliptic_function

I was wondering how one might plot this in Desmos 3D.

I know it can be plotted using existing tools like this one: https://functions.wolfram.com/webMathematica/FunctionPlotting.jsp?name=WeierstrassP

But I'd like to see how it can be done in Desmos 3D, since this offers a
more flexible interface for experimentation (like being able to zoom,
change the orientation, etc..).

Can anyone provide a demonstration or give some hints what approach to
take plotting such a function (I've never seen functions involving a
summation over lattice points before)?

I was particularly intrigued because I had seen some abstract art
featuring this function by Man Ray a while ago:

https://i.imgur.com/LEV1jKd.png

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Op 28/04/2024 om 07:54 schreef Chris M. Thomasson:

On 4/27/2024 5:30 PM, sobriquet wrote:

Hi!

Lately there was an intriguing math video on youtube that referred to
the Weierstrass elliptic function:

https://youtu.be/5RHSS-zMaAQ?t=559

https://en.wikipedia.org/wiki/Weierstrass_elliptic_function

I was wondering how one might plot this in Desmos 3D.

I know it can be plotted using existing tools like this one:
https://functions.wolfram.com/webMathematica/FunctionPlotting.jsp?name=WeierstrassP

But I'd like to see how it can be done in Desmos 3D, since this offers
a more flexible interface for experimentation (like being able to
zoom, change the orientation, etc..).

Can anyone provide a demonstration or give some hints what approach to
take plotting such a function (I've never seen functions involving a
summation over lattice points before)?

I was particularly intrigued because I had seen some abstract art
featuring this function by Man Ray a while ago:

https://i.imgur.com/LEV1jKd.png

Check this out:

https://www.shadertoy.com/view/WtXGzs

Ah, thx! That might provide some useful clues.

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