plotting the Weierstrass elliptic function in Desmos 3D

[sobriquet]

Hi!

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

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:

Loading Image...

[Chris M. Thomasson]

Post by sobriquet
Hi!
Lately there was an intriguing math video on youtube that referred to
http://youtu.be/5RHSS-zMaAQ
https://en.wikipedia.org/wiki/Weierstrass_elliptic_function
I was wondering how one might plot this in Desmos 3D.
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
https://i.imgur.com/LEV1jKd.png

Check this out:

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

[sobriquet]

Post by Chris M. Thomasson

Post by sobriquet
Hi!
Lately there was an intriguing math video on youtube that referred to
http://youtu.be/5RHSS-zMaAQ
https://en.wikipedia.org/wiki/Weierstrass_elliptic_function
I was wondering how one might plot this in Desmos 3D.
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
https://i.imgur.com/LEV1jKd.png

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

Ah, thx! That might provide some useful clues.

[Chris M. Thomasson]

Post by sobriquet

Post by Chris M. Thomasson

Post by sobriquet
Hi!
Lately there was an intriguing math video on youtube that referred to
http://youtu.be/5RHSS-zMaAQ
https://en.wikipedia.org/wiki/Weierstrass_elliptic_function
I was wondering how one might plot this in Desmos 3D.
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
https://i.imgur.com/LEV1jKd.png

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

Ah, thx! That might provide some useful clues.

It sure should! :^)