11x11x11x11 pantriagonal & panquadragonal magic cube


If you use the 'shift' method you get a 5x5x5x5 or 7x7x7x7 magic cube wich is not (fully) pantriagonal and panquadragonal magic. If you use the shift method to get a 11x11x11x11 magic cube, notify that the 11x11x11x11 cube is (fully) pantriagonal ad panquadragonal magic.


N.B.: The 11x11x11x11 magic cube is panmagic in the levels and 1/2 pandiagonal magic through the levels. So the 11x11x11x11 magic cube misses 1/2 magic feature to be Nasik perfect. The smallest four dimensional Nasik perfect magic cube is the 16x16x16x16 magic cube.


Use an ultra magic 11x11 square to construct a 11x11x11x11 magic cube. Construct the first grid by placing the 11x11 magic square in the middle level of the middle (3D-)cube. Create by shift-2 in the rows and columns 120 different shifted versions of the 11x11 magic square, filling the 11x11x11x11 magic cube. Construct the second grid by using shift-2 in the opposite direction.


See for grids, the result and the check (if all numbers are in the magic cube and addition of the numbers give the right magic sum) the download below.


11x11x11x11, pantriagonal & panquadragon
Microsoft Excel werkblad 1.1 MB