With a Franklin panmagic 8x8 square you can construct a diagonal 8x8x8 magic cube which is also panmagic in the levels.
I used the Medjig method three dimensional (3D) to construct a 8x8x8 pantriagonal magic cube.
Two magic squares and (hyper)cubes whizz kids produced a Nasik 8x8x8 magic cube.
John Hendricks constructed an 8x8x8 magic cube, which is not only Nasik, but also each 1/2 row/column gives 1/2 of the magic sum.
Dwane Campbell constructed an 8x8x8 magic cube, which is not only Nasik, but also each 1/2 row/column/diagonal (in the levels) and each pillar gives 1/2 of the magic sum.