<HOME> <<VORIGE] [VOLGENDE>>
Hoe maak ik meest perfecte magische 8x8 vierkanten van binaire patronen?
Op pagina ‘panmagisch 4x4 vierkant, binair’ laat ik zien dat het mogelijk is om vanuit binaire patronen alle
mogelijke panmagische 4x4 vierkanten te maken. Ik heb deze methode ook ‘doorgetrokken’ naar meest
perfecte magische 8x8 vierkanten.
De binaire 8x8 patronen
Kies 6 binaire patronen telkens uit of A of B. Dit geeft 2x2x2x2x2x2 is 64 keuzemogelijkheden.
[A]
|
0
|
0
|
1
|
1
|
0
|
0
|
1
|
1
|
|
|
0
|
0
|
1
|
1
|
0
|
1
|
1
|
0
|
|
|
0
|
0
|
1
|
1
|
1
|
0
|
0
|
1
|
|
|
0
|
0
|
1
|
1
|
1
|
1
|
0
|
0
|
|
1
|
1
|
0
|
0
|
1
|
1
|
0
|
0
|
|
|
1
|
1
|
0
|
0
|
1
|
0
|
0
|
1
|
|
|
1
|
1
|
0
|
0
|
0
|
1
|
1
|
0
|
|
|
1
|
1
|
0
|
0
|
0
|
0
|
1
|
1
|
|
0
|
0
|
1
|
1
|
0
|
0
|
1
|
1
|
|
|
0
|
0
|
1
|
1
|
0
|
1
|
1
|
0
|
|
|
0
|
0
|
1
|
1
|
1
|
0
|
0
|
1
|
|
|
0
|
0
|
1
|
1
|
1
|
1
|
0
|
0
|
|
1
|
1
|
0
|
0
|
1
|
1
|
0
|
0
|
|
|
1
|
1
|
0
|
0
|
1
|
0
|
0
|
1
|
|
|
1
|
1
|
0
|
0
|
0
|
1
|
1
|
0
|
|
|
1
|
1
|
0
|
0
|
0
|
0
|
1
|
1
|
|
0
|
0
|
1
|
1
|
0
|
0
|
1
|
1
|
|
|
0
|
0
|
1
|
1
|
0
|
1
|
1
|
0
|
|
|
0
|
0
|
1
|
1
|
1
|
0
|
0
|
1
|
|
|
0
|
0
|
1
|
1
|
1
|
1
|
0
|
0
|
|
1
|
1
|
0
|
0
|
1
|
1
|
0
|
0
|
|
|
1
|
1
|
0
|
0
|
1
|
0
|
0
|
1
|
|
|
1
|
1
|
0
|
0
|
0
|
1
|
1
|
0
|
|
|
1
|
1
|
0
|
0
|
0
|
0
|
1
|
1
|
|
0
|
0
|
1
|
1
|
0
|
0
|
1
|
1
|
|
|
0
|
0
|
1
|
1
|
0
|
1
|
1
|
0
|
|
|
0
|
0
|
1
|
1
|
1
|
0
|
0
|
1
|
|
|
0
|
0
|
1
|
1
|
1
|
1
|
0
|
0
|
|
1
|
1
|
0
|
0
|
1
|
1
|
0
|
0
|
|
|
1
|
1
|
0
|
0
|
1
|
0
|
0
|
1
|
|
|
1
|
1
|
0
|
0
|
0
|
1
|
1
|
0
|
|
|
1
|
1
|
0
|
0
|
0
|
0
|
1
|
1
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
H21
|
|
|
|
|
|
|
|
|
H22
|
|
|
|
|
|
|
|
|
H23
|
|
|
|
|
|
|
|
|
H24
|
|
|
|
|
0
|
1
|
1
|
0
|
0
|
0
|
1
|
1
|
|
|
0
|
1
|
1
|
0
|
0
|
1
|
1
|
0
|
|
|
0
|
1
|
1
|
0
|
1
|
0
|
0
|
1
|
|
|
0
|
1
|
1
|
0
|
1
|
1
|
0
|
0
|
|
1
|
0
|
0
|
1
|
1
|
1
|
0
|
0
|
|
|
1
|
0
|
0
|
1
|
1
|
0
|
0
|
1
|
|
|
1
|
0
|
0
|
1
|
0
|
1
|
1
|
0
|
|
|
1
|
0
|
0
|
1
|
0
|
0
|
1
|
1
|
|
0
|
1
|
1
|
0
|
0
|
0
|
1
|
1
|
|
|
0
|
1
|
1
|
0
|
0
|
1
|
1
|
0
|
|
|
0
|
1
|
1
|
0
|
1
|
0
|
0
|
1
|
|
|
0
|
1
|
1
|
0
|
1
|
1
|
0
|
0
|
|
1
|
0
|
0
|
1
|
1
|
1
|
0
|
0
|
|
|
1
|
0
|
0
|
1
|
1
|
0
|
0
|
1
|
|
|
1
|
0
|
0
|
1
|
0
|
1
|
1
|
0
|
|
|
1
|
0
|
0
|
1
|
0
|
0
|
1
|
1
|
|
0
|
1
|
1
|
0
|
0
|
0
|
1
|
1
|
|
|
0
|
1
|
1
|
0
|
0
|
1
|
1
|
0
|
|
|
0
|
1
|
1
|
0
|
1
|
0
|
0
|
1
|
|
|
0
|
1
|
1
|
0
|
1
|
1
|
0
|
0
|
|
1
|
0
|
0
|
1
|
1
|
1
|
0
|
0
|
|
|
1
|
0
|
0
|
1
|
1
|
0
|
0
|
1
|
|
|
1
|
0
|
0
|
1
|
0
|
1
|
1
|
0
|
|
|
1
|
0
|
0
|
1
|
0
|
0
|
1
|
1
|
|
0
|
1
|
1
|
0
|
0
|
0
|
1
|
1
|
|
|
0
|
1
|
1
|
0
|
0
|
1
|
1
|
0
|
|
|
0
|
1
|
1
|
0
|
1
|
0
|
0
|
1
|
|
|
0
|
1
|
1
|
0
|
1
|
1
|
0
|
0
|
|
1
|
0
|
0
|
1
|
1
|
1
|
0
|
0
|
|
|
1
|
0
|
0
|
1
|
1
|
0
|
0
|
1
|
|
|
1
|
0
|
0
|
1
|
0
|
1
|
1
|
0
|
|
|
1
|
0
|
0
|
1
|
0
|
0
|
1
|
1
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
V11
|
|
|
|
|
|
|
|
|
V12
|
|
|
|
|
|
|
|
|
V13
|
|
|
|
|
|
|
|
|
V14
|
|
|
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
|
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
V21
|
|
|
|
|
|
|
|
|
V22
|
|
|
|
|
|
|
|
|
V23
|
|
|
|
|
|
|
|
|
V24
|
|
|
|
|
0
|
1
|
| | 
