Octahedron Tetrahedron Picking

Consider the average volume of a tetrahedron picked at random inside an octahedron of unit volume. The answer is difficult to compute analytically (Zinani 2003), but the mean tetrahedron volume is numerically approximately equal to V^_ approx 0.01368.

See also

Ball Tetrahedron Picking, Cube Tetrahedron Picking, Octahedron, Point Picking, Sphere Tetrahedron Picking, Tetrahedron, Tetrahedron Tetrahedron Picking

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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.

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Octahedron Tetrahedron Picking

Cite this as:

Weisstein, Eric W. "Octahedron Tetrahedron Picking." From MathWorld--A Wolfram Web Resource.

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