English   Japanese
Home   Site Map  

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]
Plane No.1
111688899966
866999188611
988811666199
699166911888
Plane No.2
668191986819
919886691168
891968119686
186619868991
Plane No.3
889916161698
198661816989
616189998861
961898689116
Plane No.4
996869618181
681118969896
169696881918
818981196669
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.


Top


Home   Site Map  
Mitsutoshi Nakamura (Feedback)    To send an email to me, please enable JavaScript on your browser.
[Legal indication] Prohibit the send of any spam or advertising.

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.

track feed Magic Cubes and Tesseracts RSS
SEO
loading
Magic Cubes and Tesseracts