Octahedron derived shape 01

grabcad

Shape derived from a pipe frame octahedron whose joints or seams and tips or corners I filleted to the same radius as that of its constituent pipes themselves and whose lower of two constituent tetrahedrons was centred at [0,0,0].I obtained the shape by creating 8 copies of the octahedron and rotating these around [0,0,0] so that they formed an evenly spaced and oriented circular pattern of octahedrons.Then, 2 by 2 only, I boolean intersected diametrically opposed octahedrons in the circular array with one another and, afterwards, boolean merged the resulting 4 shapes together. I finally filleted all seams and edges resulting from the boolean intersections and mergers performed previously.I believe the shape has 16 planes of symmetry.