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Maximum number of half great circles of length $\pi$ can be drawn on a sphere without any in...

You can have arbitrarily many disjoint great semicircles on a sphere. Picture cutting a small regular $n$ gon $A_1A_2\dots A_{n}$ centered at the north pole, and let $B_1B_2\dots B_{n}$ be the polygon …
Gjergji Zaimi's user avatar