The largest tetrahedron those points can be fit on a sphere
- Author:
- Roman Chijner
- Topic:
- Sphere
Four points A, B, C, D are taken at random on a sphere of radius r (use θ and φ reglers). The volume of the tetrahedron ABCD is greatest in the case of its regularity.
Using geogebra this problem is solved by computing the maxima of functions of 8 variables.