This paper gives the exact evaluation of the shape density on the shape space Σ (S2,3) for a labelled random spherical triangle whose vertices are i.i.d.-uniform in a 'cap' of S2 bounded by a 'small' ...

Mathematicians have had a hard time finding commonalities in large groups of random shapes — until recently. A pilot takes off from New York’s John F. Kennedy airport and flies in a straight line for ...