Most perfect magic cube per order

 

See below the most perfect magic cube (with the maximum possible magic features) per order.

 

[3x3x3]  The most magic 3x3x3 cube is a simple magic cube. In each level give the rows and columns (and in the middle level give the diagonals) the magic sum. Through the levels give the pillars and the space diagonals the magic sum.

 

[4x4x4]  The most magic 4x4x4 cube is simple magic with exception of the space diagonals, which give not the magic sum.
 
[5x5x5] 
The most magic 5x5x5 cube is semi panmagic. The (pan)diagonals through the levels from top to bottom and bottom to top give not the magic sum. The 5x5x5 cube is also symmetric.
 
[6x6x6] 
The most magic 6x6x6 cube is pantriagonal magic.
 
[7x7x7] 
The most magic 7x7x7 cube is panmagic and symmetric.


[8x8x8] 
The most magic 8x8x8 cube is perfect (Nasik), (partly 2x2 and fully 2x2x2) compact, and 1/2 rows/columns/diagonals in each level and 1/2 pillars give 1/2 of the magic sum.
 
[9x9x9] 
The most magic 9x9x9 cube is almost perfect (Nasik) magic (N.B.: only 2/4 of the pantriagonals give the magic sum), 3x3 compact and symmetric ór fully perfect (Nasik) magic, symmetric and not compact (= 'Frost magic').
 
[10x10x10] 
The most magic 10x10x10 cube is pantriagonal magic.
 
[11x11x11] 
The most magic 11x11x11 cube is perfect (Nasik) and symmetric.
 
[12x12x12] 
 I don't know what the most magic 12x12x12 cube is. I have constructed a 12x12x12 magic cube which consists of 8 proportional 6x6x6 (simple) magic cubes and the pantriagonals in 2 of the 4 directions (= 50%) give the right magic sum. See also an analysis of a 12x12x12 diagonal magic cube; the main diagonals in the levels and all diagonals through the levels (and the 4 [main] triagonals) give the magic sum.
 
[13x13x13] 
The most magic 13x13x13 cube is perfect (Nasik) and symmetric.


[14x14x14]
 
The most magic 14x14x14 cube is pantriagonal magic.

[15x15x15] 
The most magic 15x15x15 cube is almost perfect (Nasik) magic (N.B.: only 2/4 of the pantriagonals give the magic sum), 3x3 compact and symmetric ór fully perfect (Nasik) magic, symmetric and not compact (= 'Frost magic').

 

[16x16x16]  The most magic 16x16x16 cube consists of 8x proportional 8x8x8 Dwane Campbell's magic cube. So 1/4 rows/columns/diagonals in each level and 1/4 pillars give 1/4 of the magic sum and 1/2 space diagonals give 1/2 of the magic sum.

[17x17x17] The most magic 17x17x17 cube is perfect (Nasik) and symmetric.

 

[18x18x18]  The most magic 18x18x18 cube is pantriagonal magic.

 

[19x19x19] The most magic 19x19x19 cube is perfect (Nasik) and symmetric.

 

[21x21x21]  The most magic 21x21x21 cube is perfect (Nasik) and symmetric (= 'Frost magic').

 

[25x25x25]  The most perfect 25x25x25 cube is perfect (Nasik), symmetric and (fully) 5x5(x5) compact.