This die is inspired by the
repulsion force polyhedra. In fact, the underlying polyhedron (not rounded) looks like the two shapes that can be obtained through this technique with 24 points repulsing each others (two Pentagonal Icositetrahedra).
Actually, I calculated the positions of those points to have a maximal radius for the circles resulting from the intersection of this underlying polyhedron with a sphere. The result is a truncated sphere with 24 circular faces of same radius.