Meest perfecte 16x16x16x16 magische hyperkubus
Dwane Campbell heeft mij een "meest perfect" 16x16x16x16 magische hyperkubus gestuurd. Deze kubus is perfect en heeft als extra magische eigenschappen, dat elke 1/4 rij/kolom/pilaar/zuil 1/4 van de magische som oplevert en dat elke laag volledig 2x2 compact is. Ik heb de patronen van deze kubus en nog een andere Nasik kubus op de internet geanalyseerd.
Het is me met heel veel moeite gelukt om ook een meest perfect 16x16x16x16 magische hyperkubus te maken die dezelfde eigenschappen als Dwane Campbell’s kubus heeft. Bovendien levert in alle lagen elke halve diagonaal de helft van de magische som op (N.B.: Ik heb de getallen in twee van de patronen van Dwane Campbell in een iets andere volgorde gezet, waarbij nu ook in alle lagen elke halve diagonaal de helft van de magische som oplevert).
Mijn meest perfect 16x16x16x16 magische kubus bestaat uit 4 patronen met de getallen 1 t/m 16.
Zie onder de opbouw van het eerste patroon van de 16x16x16x16 magische kubus:
Bovenste laag van de eerste vier 16x16x16 deelkubussen van het eerste patroon van de 16x16x16x16 kubus
Patroon A1
|
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
|
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
|
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
|
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
|
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
|
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
|
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
|
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
|
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
|
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
|
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
|
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
|
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
|
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
|
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
|
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
Patroon A2
|
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
|
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
|
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
|
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
|
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
|
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
|
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
|
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
|
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
|
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
|
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
|
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
|
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
|
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
|
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
|
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
Patroon A3
|
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
|
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
|
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
|
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
|
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
|
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
|
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
|
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
|
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
|
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
|
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
|
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
|
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
|
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
|
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
|
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
Patroon A4
|
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
|
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
|
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
|
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
|
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
|
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
|
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
|
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
|
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
5 |
12 |
|
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
4 |
13 |
|
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
16 |
1 |
|
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
9 |
8 |
|
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
2 |
15 |
|
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
7 |
10 |
|
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
11 |
6 |
|
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
14 |
3 |
De volgorde van de 16x16 lagen van de 16x 16x16x16 deelkubussen is:
A1 A2 A3 A4 A1’ A2’ A3’ A4’ A1 A2 A3 A4 A1’ A2’ A3’ A4’
A3 A4 A1 A2 A3’ A4’ A1’ A2’ A3 A4 A1 A2 A3’ A4’ A1’ A2’
A1’ A2’ A3’ A4’ A1 A2 A3 A4 A1’ A2’ A3’ A4’ A1 A2 A3 A4
A3’ A4’ A1’ A2’ A3 A4 A1 A2 A3’ A4’ A1’ A2’ A3 A4 A1 A2
A1 A2 A3 A4 A1’ A2’ A3’ A4’ A1 A2 A3 A4 A1’ A2’ A3’ A4’
A3 A4 A1 A2 A3’ A4’ A1’ A2’ A3 A4 A1 A2 A3’ A4’ A1’ A2’
A1’ A2’ A3’ A4’ A1 A2 A3 A4 A1’ A2’ A3’ A4’ A1 A2 A3 A4
A3’ A4’ A1’ A2’ A3 A4 A1 A2 A3’ A4’ A1’ A2’ A3 A4 A1 A2
A1 A2 A3 A4 A1’ A2’ A3’ A4’ A1 A2 A3 A4 A1’ A2’ A3’ A4’
A3 A4 A1 A2 A3’ A4’ A1’ A2’ A3 A4 A1 A2 A3’ A4’ A1’ A2’
A1’ A2’ A3’ A4’ A1 A2 A3 A4 A1’ A2’ A3’ A4’ A1 A2 A3 A4
A3’ A4’ A1’ A2’ A3 A4 A1 A2 A3’ A4’ A1’ A2’ A3 A4 A1 A2
A1 A2 A3 A4 A1’ A2’ A3’ A4’ A1 A2 A3 A4 A1’ A2’ A3’ A4’
A3 A4 A1 A2 A3’ A4’ A1’ A2’ A3 A4 A1 A2 A3’ A4’ A1’ A2’
A1’ A2’ A3’ A4’ A1 A2 A3 A4 A1’ A2’ A3’ A4’ A1 A2 A3 A4
A3’ A4’ A1’ A2’ A3 A4 A1 A2 A3’ A4’ A1’ A2’ A3 A4 A1 A2
Het [apostrof]teken ' staat voor inverse
Zie onder de opbouw van het tweede patroon van de 16x16x16x16 magische kubus:
Bovenste laag van de eerste vier 16x16x16 deelkubussen van het tweede patroon van de 16x16x16x16 kubus
Patroon B1
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
Patroon B2
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
|
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
|
16 |
9 |
2 |
7 |
11 |
14 |
5 |
4 |
1 |
8 |
15 |
10 |
6 |
3 |
12 |
13 |
Patroon B3
|
6 |
3 |
12 |
13 |
1 |
8 |
15 |
10 |
11 |
14 |
5 |
4 |
16 |
9 |
2 |
7 |
|
11 |
14 |
5 |
4 |
16 |
9 |
2 |
7 |
6 |
3 |
12 |
13 |
1 |
8 |
15 |
10 |
|
6 |
3 |
12 |
13 |
1 |
8 |
15 |
10 |
11 |
14 |
5 |
4 |
16 |
9 |
2 |
7 |
|
11 |
14 |
5 |
4 |
16 |
9 |
2 |
7 |
6 |
3 |
12 |
13 |
1 |
8 |
15 |
10 |
|
6 |
3 |
12 |
13 |
1 |
8 |
15 |
10 |
11 |
14 |
5 |
4 |
16 |
9 |
2 |
7 |
|
11 |
14 |
5 |
4 |
16 |
9 |
2 |
7 |
6 |
3 |
12 |
13 |
1 |
8 |
15 |
10 |
|
6 |
3 |
12 |
13 |
1 |
8 |
15 |
10 |
11 |
14 |
5 |
4 |
16 |
9 |
2 |
7 |
|
11 |
14 |
5 |
4 |
16 |
9 |
2 |
7 |
6 |
3 |
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Patroon B4
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2 |
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1 |
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2 |
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1 |
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3 |
De volgorde van de 16x16 lagen van de 16x 16x16x16 deelkubussen is:
B1 B3 B1’ B3’ B1 B3 B1’ B3’ B1 B3 B1’ B3’ B1 B3 B1’ B3’
B2 B4 B2’ B4’ B2 B4 B2’ B4’ B2 B4 B2’ B4’ B2 B4 B2’ B4’
B3 B1 B3’ B1’ B3 B1 B3’ B1’ B3 B1 B3’ B1’ B3 B1 B3’ B1’
B4 B2 B4’ B2’ B4 B2 B4’ B2’ B4 B2 B4’ B2’ B4 B2 B4’ B2’
B1’ B3’ B1 B3 B1’ B3’ B1 B3 B1’ B3’ B1 B3 B1’ B3’ B1 B3
B2’ B4’ B2 B4 B2’ B4’ B2 B4 B2’ B4’ B2 B4 B2’ B4’ B2 B4
B3’ B1’ B3 B1 B3’ B1’ B3 B1 B3’ B1’ B3 B1 B3’ B1’ B3 B1
B4’ B2’ B4 B2 B4’ B2’ B4 B2 B4’ B2’ B4 B2 B4’ B2’ B4 B2
B1 B3 B1’ B3’ B1 B3 B1’ B3’ B1 B3 B1’ B3’ B1 B3 B1’ B3’
B2 B4 B2’ B4’ B2 B4 B2’ B4’ B2 B4 B2’ B4’ B2 B4 B2’ B4’
B3 B1 B3’ B1’ B3 B1 B3’ B1’ B3 B1 B3’ B1’ B3 B1 B3’ B1’
B4 B2 B4’ B2’ B4 B2 B4’ B2’ B4 B2 B4’ B2’ B4 B2 B4’ B2’
B1’ B3’ B1 B3 B1’ B3’ B1 B3 B1’ B3’ B1 B3 B1’ B3’ B1 B3
B2’ B4’ B2 B4 B2’ B4’ B2 B4 B2’ B4’ B2 B4 B2’ B4’ B2 B4
B3’ B1’ B3 B1 B3’ B1’ B3 B1 B3’ B1’ B3 B1 B3’ B1’ B3 B1
B4’ B2’ B4 B2 B4’ B2’ B4 B2 B4’ B2’ B4 B2 B4’ B2’ B4 B2
Zie onder de eerste laag van de eerste 16x16x16 deelkubus van het derde patroon van de 16x16x16x16 magische kubus:
Eerste laag van de eerste 16x16x16 deelkubus van het derde patroon van de 16x16x16x16 kubus
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Alle lagen hebben dezelfde structuur, maar hebben in de linker bovenhoek het getal 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, respectievelijk 16 en wel in onderstaande volgorde:
01-08-13-12 15-10-03-06 16-09-04-05 02-07-14-11
01-08-13-12 15-10-03-06 16-09-04-05 02-07-14-11
16-09-04-05 02-07-14-11 01-08-13-12 15-10-03-06
16-09-04-05 02-07-14-11 01-08-13-12 15-10-03-06
01-08-13-12 15-10-03-06 16-09-04-05 02-07-14-11
01-08-13-12 15-10-03-06 16-09-04-05 02-07-14-11
16-09-04-05 02-07-14-11 01-08-13-12 15-10-03-06
16-09-04-05 02-07-14-11 01-08-13-12 15-10-03-06
01-08-13-12 15-10-03-06 16-09-04-05 02-07-14-11
01-08-13-12 15-10-03-06 16-09-04-05 02-07-14-11
16-09-04-05 02-07-14-11 01-08-13-12 15-10-03-06
16-09-04-05 02-07-14-11 01-08-13-12 15-10-03-06
01-08-13-12 15-10-03-06 16-09-04-05 02-07-14-11
01-08-13-12 15-10-03-06 16-09-04-05 02-07-14-11
16-09-04-05 02-07-14-11 01-08-13-12 15-10-03-06
16-09-04-05 02-07-14-11 01-08-13-12 15-10-03-06
Zie onder de eerste laag van de eerste 16x16x16 deelkubus van het vierde patroon van de 16x16x16x16 magische kubus:
Eerste laag van de eerste 16x16x16 deelkubus van het vierde patroon van de 16x16x16x16 kubus
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Deze laag is identiek aan die van het derde patroon!!!
Alle lagen hebben dezelfde structuur, maar hebben in de linker bovenhoek het getal 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, respectievelijk 16 en wel in onderstaande volgorde:
01-01-16-16 01-01-16-16 01-01-16-16 01-01-16-16
08-08-09-09 08-08-09-09 08-08-09-09 08-08-09-09
13-13-04-04 13-13-04-04 13-13-04-04 13-13-04-04
12-12-05-05 12-12-05-05 12-12-05-05 12-12-05-05
15-15-02-02 15-15-02-02 15-15-02-02 15-15-02-02
10-10-07-07 10-10-07-07 10-10-07-07 10-10-07-07
03-03-14-14 03-03-14-14 03-03-14-14 03-03-14-14
06-06-11-11 06-06-11-11 06-06-11-11 06-06-11-11
16-16-01-01 16-16-01-01 16-16-01-01 16-16-01-01
09-09-08-08 09-09-08-08 09-09-08-08 09-09-08-08
04-04-13-13 04-04-13-13 04-04-13-13 04-04-13-13
05-05-12-12 05-05-12-12 05-05-12-12 05-05-12-12
02-02-15-15 02-02-15-15 02-02-15-15 02-02-15-15
07-07-10-10 07-07-10-10 07-07-10-10 07-07-10-10
14-14-03-03 14-14-03-03 14-14-03-03 14-14-03-03
11-11-06-06 11-11-06-06 11-11-06-06 11-11-06-06
Zie voor resultaat en alle patronen, onderstaande download.
Dwane Campbell heeft een 16x16x16x16 magische kubus gemaakt, die Nasik is en elke 1/4 rij/kolom/diagonaal (in de lagen) en elke 1/4 pilaar/zuil/ruimtelijke diagonaal levert 1/4 van de magische som op. Deze 16x16x16x16 magische kubus is niet 2x2x2x2 compact. Zie hieronder een analyse van Dwane Campbell's 16x16x16x16 magische kubus.