DescriptionVertex Regular Spherigon and Circle (3.3.3.3.5).png
English: Example configuration vertex regular polygon (configuration vertex Catalaves tile) of (3.3.3.3.5). It is cyclic, with a circumcircle about the vertex of radius r(mid)/(2*r(cir)). Resulting rotation shows the solid angle is (1/2-sqrt(4*r(cir)-1))/(4*r(cir)) of the entire sphere. This method can be used to determine the densities of uniform spherigonal circle packings.
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