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bezier circle shrinkwrapped on sphere

Bezier circle shrinkwrapped on sphere. Empty doesn't follow path. I accidentally captured this with the curve origin moved to the empty, but that doesn't affect the issue.

lemons transforming array torus

@lemon provided a renderable visualization. Here the curve I'm later referring to is visualized as a slim torus, which keeps its' thiccness diameter and turns into a sphere, of the said diameter, when it's at the poles.

I keep saying animation, but I don't mean rendered animation, when there's no surface or thickness.

Basically replace the torus in lemons animation with a curve... Edit: shrinkwrap makes the curve move along the sphere, but objects don't follow the path, so my guess is that objects projected from it/ based upon it also wouldn't.

Any method, Python, Animation Nodes preferable.

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    $\begingroup$ Why remove tags ? Seems like a detrimental move. $\endgroup$ – t8ja Aug 8 at 23:55
  • $\begingroup$ Hi, could you add images to help understand what you want to do? $\endgroup$ – lemon Aug 9 at 14:53
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    $\begingroup$ Possibly related blender.stackexchange.com/questions/50396/… $\endgroup$ – batFINGER Aug 9 at 14:55
  • $\begingroup$ I was struggling to find a good representation.This gif doesn't show the tip/center of the circle stationary in the center of the virtual sphere, so it still isn't good. $\endgroup$ – t8ja Aug 9 at 15:15
  • $\begingroup$ The image corresponds to the first sentence, ok, but what the point with "sliding an edgeloop on a sphere"? $\endgroup$ – lemon Aug 9 at 15:19
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Really unsure this is what is wanted in the question, but:

enter image description here

There is no Python nor animation nodes here. This is simply an animation.

The torus is done from a base little cylinder with an array and a simple deform to curve it:

enter image description here

Then animate an empty with a circle curve surrounding the torus:

enter image description here

And make this last empty parent of the torus.

Et voila:

enter image description here

All that is due to the simple deform which considers the object origin as base. As the parenting changes this origin location, it gives the result.

The curve is here to ensure that the result will be like 'around a sphere'.

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    $\begingroup$ Still don't connect all that with the cone... if you want it conical, modifying the circle curve shape would work, maybe $\endgroup$ – lemon Aug 9 at 16:55
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    $\begingroup$ @t8ja, still don't know what you want to obtain...! Could you draw something? $\endgroup$ – lemon Aug 10 at 16:24
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    $\begingroup$ @t8ja, well as I told you, I don't understand what you mean, sorry. $\endgroup$ – lemon Aug 11 at 15:16
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    $\begingroup$ all that still don't tell clearly the real final purpose of your question. $\endgroup$ – lemon Aug 13 at 13:17
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    $\begingroup$ There are multiple possible results, The object moving on a loxodrome path is one of them, and if the curve can be used to make a surface between it and the center of the sphere, then the originaly described cone/funnel transformation can be made. . $\endgroup$ – t8ja Aug 13 at 13:29

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