I have used the Medjig method 3D to construct a Nasik (= pandiagonal & pantriagonal) 16x16x16 magic cube and 1/2 rows/columns/diagonals in each level give 1/2 of the magic sum.
René Chrétien created a Nasik 16x16x16 magic cube. You can find sequential numbers in the magic cube by using chess horse jumps.
Construct a Franklin panmagic 16x16x16 cube. This cube must be 2x2(x2) compact and 1/2 rows/columns/diagonals in the levels and 1/2 space diagonals must give 1/2 of the magic sum.
Whizz kids say that only the first and the third version are valid Franklin panmagic 16x16x16 cubes, because it consists of 8 proportional Nasik 8x8x8 magic cubes.