论文信息 - The Volume of a Tetrahedron whose Vertices are Chosen at Random in the Interior of a Parent Tetrahedron

The Volume of a Tetrahedron whose Vertices are Chosen at Random in the Interior of a Parent Tetrahedron

We solve a problem proposed by V. Klee (1969). He asked for a calculation of κ, the expected value of V, the volume of a daughter tetrahedron whose vertices are chosen at random (i.e. independently and uniformly) in the interior of a parent tetrahedron of unit volume. We discover: We also calculate the second, fourth and sixth moments of V.

David Mannion | David Mannion

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