|The Successful Search for the Smallest Perfect Magic Cube|
|3||no||John Hendricks *||1972|
|7||yes||Andrew H. Frost||1866|
|n>8||Single Solutions were found|
by several authors
|2k>4||yes||General solution by
Three aspects of the nearly perfect magic cube of order 4|
Walter Trump - January 2nd, 2004
The 16 rows, 16 columns, 16 pillars and 24 diagonals are magic (sum = 130).|
The 4 triagonals have the sums: 100, 120, 140 and 160.
Each of the 12 orthogonal planes contains a (non-normal) magic square.
The first known perfect magic cube of order 5
Walter Trump and Christian Boyer, 2003-11-13
This cube consists of all numbers from 1 to 125.|
The sum of the 5 numbers in each of the 25 rows, 25 columns, 25 pillars, 30 diagonals
and 4 triagonals (space diagonals) equals the magic constant 315.