A pantriagonal magic cube is a magic cube where all 4m2 pantriagonals sum correctly. There are 4 one-segment pantriagonals, 12(m − 1) two-segment pantriagonals...

proper simple or pantriagonal magic cube would contain no magic squares, a proper diagonal magic cube would contain exactly 3m + 6 simple magic squares, etc...

pantriagonal magic cubes, diagonal magic cubes, pantriagonal diagonal magic cubes, pandiagonal magic cubes, and perfect magic cubes. 1. Order 4 cube by Thomas...

pandiagonal, and an order-8 cube we class as pantriagonal. In another 1878 paper he showed another pandiagonal magic cube and a cube where all 13m lines sum...