Non-normal Magic Cube
This page showes a work of a non-normal magic cube, which does not consist of consecutive integers starting with 1.
an order-4 upside-down magic cube [Nakamura, 2004]
the source: original.
An upside-down magic cube is a magic cube in which it is also magic when it turned upside down by 180-degree rotation.
An upside-down magic cube can use only digits 0, 1, 6, 8, and 9.
This cube has magic rows, colomns, pillars, triagonals, and horizontal diagonals with the magic constant 2664 in both the original position and the upside-down position. Therefore, each of the four planes of the cube is a upside-down magic square independently, and the whole set of the planes of the cube is a upside-down magic cube. The 64 elements of the cube are distinguished integers from one another.
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This page was last updated on August 15, 2016.
"Magic Cubes and Tesseracts" http://magcube.la.coocan.jp/magcube/en/
Copyright © 2004-2016, Mitsutoshi Nakamura. All rights reserved.
Magic Cubes and Tesseracts