Give a arbitrary tetrahedron such that unit sphere is tangent to all the face of the tetrahedron.
Find the minimal volume of the tetrahedron.
I guess that the answer is regular tetrahedron,but i can't prove it.
Give a arbitrary tetrahedron such that unit sphere is tangent to all the face of the tetrahedron.
Find the minimal volume of the tetrahedron.
I guess that the answer is regular tetrahedron,but i can't prove it.