Golden ratio
Optimization

There is no known general algorithm to arrange a given number of nodes evenly on a sphere, for any of several definitions of even distribution (see, for example, Thomson problem or Tammes problem). However, a useful approximation results from dividing the sphere into parallel bands of equal surface area and placing one node in each band at longitudes spaced by a golden section of the circle, i.e. 360 ∘ / φ ≈ 222.5 ∘. {\displaystyle 360^{\circ }/\varphi \approx 222.5^{\circ }.} This method was used to arrange the 1500 mirrors of the student-participatory satellite Starshine-3.

The golden ratio is a critical element to golden-section search as well.
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