Perfect Magic Cubes 
Many documents about perfect magic cubes have to be written new, because of 
New Discoveries in the History of Magic Cubes 
made by Holger Becker and Walter Trump. 
order  year  discoverer  pD  pT  A 
5  2003  Walter Trump and Christian Boyer       
6  2003  Walter Trump       
7  1833  Ferdinand J. Brede alias de Fibre  X    X 
8  1875  Gustavus Frankenstein      X 
9  1878  Andrew H. Frost  X  X  X 
...  ...  ... 
Three aspects of the nearly perfect magic cube of order 4 Walter Trump  January 2, 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 (nonnormal) magic square. 
The first known perfect magic cube of order 5 Walter Trump and Christian Boyer, 20031113 

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. 