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I want to create object like this:

enter image description here

How can I achieve this?

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    $\begingroup$ There is an addon for that: "add curve: extra objects". Once activated, Shift A/Curve/Add curve spirals, then choose spheric and tune the parameters in the operator panel $\endgroup$ – lemon Mar 4 '17 at 19:20
  • $\begingroup$ @lemon Should be an answer, not a comment. $\endgroup$ – Ray Mairlot Mar 4 '17 at 20:32
  • $\begingroup$ @RayMairlot, should be a duplicate, finally!! So... I'll just add another way to do it, without the addon (even if I don't know if it is mathematically correct) $\endgroup$ – lemon Mar 5 '17 at 7:06
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An alternative way, just to add to the catalogue found by Prashant in another question:

  • Add a plane and keep only one segment
  • Make an inclination at 45° in front view
  • Subdivide a lot (around 100 times)

enter image description here

  • In front view, select one extremity
  • Set the proportional editing to enabled and to linear
  • Make a "blank" rotation (0°) to adjust the falloff

  • Then in top view

  • R to rotate
  • Rotate at the maximum possible value
  • Rotate again ShiftR to repeat the last operation

enter image description here

Finally, add a cast modifier and let it to sphere with a factor of 1:

enter image description here

Edit: FYI, that can be done with a single subdivided segment kept horizontal. Rotate with linear falloff and grab Z with spherical falloff.

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    $\begingroup$ Hmm, interesting one, +1. :) $\endgroup$ – Leon Cheung Mar 5 '17 at 11:27

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