Lattice-Sphere

Yeah, so basically I made a cube with octahedral faces and then built up the octahedrons with two different trapezoids to try and fill out a spherical volume. Did some surface-tracing on top of the polyhedron to figure out where the cuts would be and then 3-d scaled it to get a slightly larger copy. After that, it was pretty easy to use corner-points to make all the filler panels inside the nooks. I think it turned out quite nicely, if I do say so myself.