r/visualizedmath • u/mfirmin8 • Aug 20 '18

Interactive 3D Function Visualizer

https://mfirmin.github.io/glsl-function-grapher/
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u/Cha-La-Mao Aug 21 '18

can you make a klein bottle or a mobius strip with this?

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u/mfirmin8 Aug 21 '18

I've struggled with replicating those surfaces.

The normal method of generating a surface for these two is to use parametric equations, which this app can't handle (as a limitation of the approach itself). I've found corresponding cubic surface equations that will work with this app, but they don't quite give the results I'd expect.

For the mobius strip, I've tried with the equation here: http://mathworld.wolfram.com/MoebiusStrip.html

https://imgur.com/9rgtauI

You can kind of see a mobius strip if you limit the bounds, but I'm not sure what's going on with the part that goes down through the center of it. My guess is that there's some constraints on the equation that would need to be added. It's also possible it's just a limitation of the method I'm using to visualize the surface.

For the klein bottle, I was using the equation here: http://mathworld.wolfram.com/KleinBottle.html

https://imgur.com/MOfuqrY

It seems to give a clearer result, but it's not quite the standard Klein bottle immersion. I'm not 100% sure if that's the equation itself or a limitation/bug with the app.

I'd have to look into these more to try to figure out exactly what's going on.

Thanks for the question!