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bezier circle shrinkwrapped on sphere

Lemon produced a renderable result.

There still might be a way to transform a circle curve along the sphere surface ?

Haven't done that yet, but the original visualization I wanted to produce using that in the process, I now posted as an answer, also achieved via modifiers as lemons.

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    $\begingroup$ Why remove tags ? Seems like a detrimental move. $\endgroup$ – t8ja Aug 8 '19 at 23:55
  • $\begingroup$ Hi, could you add images to help understand what you want to do? $\endgroup$ – lemon Aug 9 '19 at 14:53
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    $\begingroup$ Possibly related blender.stackexchange.com/questions/50396/… $\endgroup$ – batFINGER Aug 9 '19 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 '19 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 '19 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 '19 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 '19 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 '19 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 '19 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 '19 at 13:29
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EDIT: Array is not necessary. Screw does it, if an axis object is selected. Increasing the Screw factor produces a nice effect.

Inferior attempt:

enter image description here

A single edge is rotated via Array object offset (Epmty) and Screwed.

Aanimated the screw steps for effect.

I don't know how to Hide the first instance in the array, which would be necessary to leave only the "transforming cone".

Whoops... this second blend represents what I wanted to do with the generated cones, i.e. stack them and then get the areolas, but it seems finding a function which gives that result might be easier.

Tractrix - https://demonstrations.wolfram.com/ModelingAPseudosphereWithCones/

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    $\begingroup$ Hello :). This question keeps popping up as unanswered. Would you accept one of the answers? Thanks :). $\endgroup$ – Jachym Michal Feb 18 at 18:11

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