Ball tetrahedron picking is the selection of quadruples of points (corresponding to vertices of a general tetrahedron) randomly placed
inside a ball. random tetrahedra can be picked in a unit
ball in the Wolfram Language using
the function RandomPoint[Ball[], n,
4].
Groemer, H. "On Some Mean Values Associated with a Randomly Selected Simplex in a Convex Set." Pacific J. Math.45,
525-533, 1973.Hostinsky, B. "Sur les probabilités géométriques."
Publ. Fac. Sci. Univ. Masaryk, No. 50. Brno, Czechoslovakia, 1925.Kingman,
J. F. C. "Random Secants of a Convex Body." J. Appl. Prob.6,
660-672, 1969.Sloane, N. J. A. Sequence A093591
in "The On-Line Encyclopedia of Integer Sequences."Solomon,
H. Geometric
Probability. Philadelphia, PA: SIAM, 1978.Zinani, A. "The
Expected Volume of a Tetrahedron Whose Vertices are Chosen at Random in the Interior
of a Cube." Monatshefte Math.139, 341-348, 2003.
random tetrahedra can be picked in a unit
ball in the Wolfram Language using
the function RandomPoint[Ball[], 
n,
4
].
