Stereology of dihedral angles I: First two moments.
01 January 1987
A gelatin dessert has wedge-shaped fruit slices in it randomly. A knife makes a planar slice through the dessert. Each dihedral angle of a fruit wedge cut by the knife shows up as an angle A in the slicing plane. We obtain formulas for the first two moments of A. These results are useful in biologic and geologic stereology, where measurements are made on two dimensional sections of a sample, and information about the angles in three dimensions is desired.