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Whirlpool Sphere by llewelld Whirlpool Sphere by llewelld
Render of a Whirlpool Sphere animation created using Functy and animated in Blender. Although this isn't a torus, it was inspired by ~zipper's amazing Torus knot fun animation. Much credit also goes to ~Tonyralano for his direction and help with the modelling.

The file is large I'm afraid, and the animations will run slowly until it's fully downloaded.

Note also it's an APNG which may not be supported by your browser (apparently IE and Safari don't support it).

The function for the parametric curve this represents is the following:

x = ((40*a)-0)*cos((0.3*pi)*cos((pi*t/4)+4*((a+1.001)**(1/2))*(2*pi)))*sin(25*a*(2*pi))

y = ((40*a)-0)*cos((0.3*pi)*cos((pi*t/4)+4*((a+1.001)**(1/2))*(2*pi)))*cos(25*a*(2*pi))

z = ((40*a)-0)*sin((0.3*pi)*cos((pi*t/4)+4*((a+1.001)**(1/2))*(2*pi)))

radius = 0.7*((4*3)/((((4*cos(p+cos(4*((a)**(1/2))*(2*pi))))**2)+((3*sin(p))**2))**(1/2)))*((4+cos(80*a*(2*pi)))/5)*(sin(a*(pi))**(1/8))

colour (R, G, B) = (cos(3*a*(2*pi))*0+1, (1-cos(2*a*(0.5*pi)))/2, (1-sin(0.75*a*(2*pi)))/2).
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:iconpifactorial:
pifactorial Featured By Owner Aug 28, 2012
Whoa, I missed this one. You're certainly a whiz with parametric equations!
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:iconllewelld:
llewelld Featured By Owner Aug 28, 2012
Thanks :) It comes from wanted to render 3D objects, but not having the talent or skill for 3D modelling. Sadly the equations aren't very beautiful and always end up being full of sines and cosines. I can't seem to get good results with anything more esoteric :(
Reply
:iconevilskills:
evilskills Featured By Owner Aug 16, 2012  Professional Digital Artist
Amazing!
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:iconllewelld:
llewelld Featured By Owner Aug 17, 2012
Thank you :) I really appreciate you saying so!
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:iconanthonyralano:
AnthonyRalano Featured By Owner Aug 6, 2012  Professional Digital Artist
That is amazing!!!!!!!!!!!!!!!!!!!!!
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:iconllewelld:
llewelld Featured By Owner Aug 6, 2012
Thanks! It's all down to your help with Blender too.

Unfortunately I didn't have time to render it with the full number of cycles you recommended, and it gets a bit messy in the centre, so I'll have to do some more work on this.
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:iconanthonyralano:
AnthonyRalano Featured By Owner Aug 6, 2012  Professional Digital Artist
It is great. Wow!
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Submitted on
August 6, 2012
Image Size
25.9 MB
Resolution
960×540
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