## Question: |
Let us place n great circles on the sphere so that the largest distance from any spherical point to the next great circle shall be as small as possible. |

## Conjecture: |
The largest incircle of an arrangement of n great circles is always >= pi/2n.Equality holds only at the regular mosaik {2,2n}, i.e. when all great circles intersect at two antipodal points and when they are "uniformly" distributed then. |

## other formulation: |
The radius of the (smallest) circle containing n points in the elliptic plane is always <= π/2 * ( 1 - 1/n ); equality holds only if the points are equidistant on a line. (The elliptic plane is given by the set of antipodal point-pairs on the sphere). |

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