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 .

# Octahedron Tetrahedron Picking

## See also

Ball Tetrahedron Picking, Cube Tetrahedron Picking, Octahedron, Point Picking, Sphere Tetrahedron Picking, Tetrahedron, Tetrahedron Tetrahedron Picking## Explore with Wolfram|Alpha

## References

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.

## Referenced on Wolfram|Alpha

Octahedron Tetrahedron Picking## Cite this as:

Weisstein, Eric W. "Octahedron Tetrahedron Picking." From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/OctahedronTetrahedronPicking.html