Sudokumethode 3
Maak een Franklin panmagisch 8x8 vierkant met behulp van een patroon van 2x2 hetzelfde panmagisch 4x4 vierkant en een patroon van 2x2 (origineel, verticaal gespiegeld, horizontaal gespiegeld en horizontaal en verticaal gespiegeld) een 4x4 sudokupatroon (= verdubbelaar).
Neem 1x getal uit 1e patroon
| 1 | 8 | 13 | 12 | 1 | 8 | 13 | 12 |
| 15 | 10 | 3 | 6 | 15 | 10 | 3 | 6 |
| 4 | 5 | 16 | 9 | 4 | 5 | 16 | 9 |
| 14 | 11 | 2 | 7 | 14 | 11 | 2 | 7 |
| 1 | 8 | 13 | 12 | 1 | 8 | 13 | 12 |
| 15 | 10 | 3 | 6 | 15 | 10 | 3 | 6 |
| 4 | 5 | 16 | 9 | 4 | 5 | 16 | 9 |
| 14 | 11 | 2 | 7 | 14 | 11 | 2 | 7 |
+4x getal uit 2e patroon
| 0 | 1 | 2 | 3 | 2 | 3 | 0 | 1 |
| 3 | 2 | 1 | 0 | 1 | 0 | 3 | 2 |
| 1 | 0 | 3 | 2 | 3 | 2 | 1 | 0 |
| 2 | 3 | 0 | 1 | 0 | 1 | 2 | 3 |
| 1 | 0 | 3 | 2 | 3 | 2 | 1 | 0 |
| 2 | 3 | 0 | 1 | 0 | 1 | 2 | 3 |
| 0 | 1 | 2 | 3 | 2 | 3 | 0 | 1 |
| 3 | 2 | 1 | 0 | 1 | 0 | 3 | 2 |
= 8x8 Franklin panmagisch vierkant
| 1 | 24 | 45 | 60 | 33 | 56 | 13 | 28 |
| 63 | 42 | 19 | 6 | 31 | 10 | 51 | 38 |
| 20 | 5 | 64 | 41 | 52 | 37 | 32 | 9 |
| 46 | 59 | 2 | 23 | 14 | 27 | 34 | 55 |
| 17 | 8 | 61 | 44 | 49 | 40 | 29 | 12 |
| 47 | 58 | 3 | 22 | 15 | 26 | 35 | 54 |
| 4 | 21 | 48 | 57 | 36 | 53 | 16 | 25 |
| 62 | 43 | 18 | 7 | 30 | 11 | 50 | 39 |
In totaal zijn er 32 verschillende 'verdubbelaars':
| 1 | 0 | 3 | 1 | 2 | 2 | 3 | 1 | 2 | 0 | 3 | 1 | 2 | 0 | 3 | 4 | 2 | 0 | 3 | 1 | ||||||||||
| 3 | 0 | 2 | 1 | 0 | 2 | 1 | 3 | 2 | 1 | 3 | 0 | 1 | 3 | 0 | 2 | ||||||||||||||
| 2 | 1 | 3 | 0 | 1 | 3 | 0 | 2 | 3 | 0 | 2 | 1 | 0 | 2 | 1 | 3 | ||||||||||||||
| 1 | 2 | 0 | 3 | 2 | 0 | 3 | 1 | 0 | 3 | 1 | 2 | 3 | 1 | 2 | 0 | ||||||||||||||
| 5 | 3 | 0 | 2 | 1 | 6 | 0 | 2 | 1 | 3 | 7 | 2 | 1 | 3 | 0 | 8 | 1 | 3 | 0 | 2 | ||||||||||
| 2 | 1 | 3 | 0 | 1 | 3 | 0 | 2 | 3 | 0 | 2 | 1 | 0 | 2 | 1 | 3 | ||||||||||||||
| 1 | 2 | 0 | 3 | 2 | 0 | 3 | 1 | 0 | 3 | 1 | 2 | 3 | 1 | 2 | 0 | ||||||||||||||
| 0 | 3 | 1 | 2 | 3 | 1 | 2 | 0 | 1 | 2 | 0 | 3 | 2 | 0 | 3 | 1 | ||||||||||||||
| 9 | 2 | 1 | 3 | 0 | 10 | 1 | 3 | 0 | 2 | 11 | 3 | 0 | 2 | 1 | 12 | 0 | 2 | 1 | 3 | ||||||||||
| 1 | 2 | 0 | 3 | 2 | 0 | 3 | 1 | 0 | 3 | 1 | 2 | 3 | 1 | 2 | 0 | ||||||||||||||
| 0 | 3 | 1 | 2 | 3 | 1 | 2 | 0 | 1 | 2 | 0 | 3 | 2 | 0 | 3 | 1 | ||||||||||||||
| 3 | 0 | 2 | 1 | 0 | 2 | 1 | 3 | 2 | 1 | 3 | 0 | 1 | 3 | 0 | 2 | ||||||||||||||
| 13 | 1 | 2 | 0 | 3 | 14 | 2 | 0 | 3 | 1 | 15 | 0 | 3 | 1 | 2 | 16 | 3 | 1 | 2 | 0 | ||||||||||
| 0 | 3 | 1 | 2 | 3 | 1 | 2 | 0 | 1 | 2 | 0 | 3 | 2 | 0 | 3 | 1 | ||||||||||||||
| 3 | 0 | 2 | 1 | 0 | 2 | 1 | 3 | 2 | 1 | 3 | 0 | 1 | 3 | 0 | 2 | ||||||||||||||
| 2 | 1 | 3 | 0 | 1 | 3 | 0 | 2 | 3 | 0 | 2 | 1 | 0 | 2 | 1 | 3 | ||||||||||||||
| 17 | 2 | 1 | 0 | 3 | 18 | 1 | 0 | 3 | 2 | 19 | 0 | 3 | 2 | 1 | 20 | 3 | 2 | 1 | 0 | ||||||||||
| 0 | 3 | 2 | 1 | 3 | 2 | 1 | 0 | 2 | 1 | 0 | 3 | 1 | 0 | 3 | 2 | ||||||||||||||
| 3 | 0 | 1 | 2 | 0 | 1 | 2 | 3 | 1 | 2 | 3 | 0 | 2 | 3 | 0 | 1 | ||||||||||||||
| 1 | 2 | 3 | 0 | 2 | 3 | 0 | 1 | 3 | 0 | 1 | 2 | 0 | 1 | 2 | 3 | ||||||||||||||
| 21 | 0 | 3 | 2 | 1 | 22 | 3 | 2 | 1 | 0 | 23 | 2 | 1 | 0 | 3 | 24 | 1 | 0 | 3 | 2 | ||||||||||
| 3 | 0 | 1 | 2 | 0 | 1 | 2 | 3 | 1 | 2 | 3 | 0 | 2 | 3 | 0 | 1 | ||||||||||||||
| 1 | 2 | 3 | 0 | 2 | 3 | 0 | 1 | 3 | 0 | 1 | 2 | 0 | 1 | 2 | 3 | ||||||||||||||
| 2 | 1 | 0 | 3 | 1 | 0 | 3 | 2 | 0 | 3 | 2 | 1 | 3 | 2 | 1 | 0 | ||||||||||||||
| 25 | 3 | 0 | 1 | 2 | 26 | 0 | 1 | 2 | 3 | 27 | 1 | 2 | 3 | 0 | 28 | 2 | 3 | 0 | 1 | ||||||||||
| 1 | 2 | 3 | 0 | 2 | 3 | 0 | 1 | 3 | 0 | 1 | 2 | 0 | 1 | 2 | 3 | ||||||||||||||
| 2 | 1 | 0 | 3 | 1 | 0 | 3 | 2 | 0 | 3 | 2 | 1 | 3 | 2 | 1 | 0 | ||||||||||||||
| 0 | 3 | 2 | 1 | 3 | 2 | 1 | 0 | 2 | 1 | 0 | 3 | 1 | 0 | 3 | 2 | ||||||||||||||
| 29 | 1 | 2 | 3 | 0 | 30 | 2 | 3 | 0 | 1 | 31 | 3 | 0 | 1 | 2 | 32 | 0 | 1 | 2 | 3 | ||||||||||
| 2 | 1 | 0 | 3 | 1 | 0 | 3 | 2 | 0 | 3 | 2 | 1 | 3 | 2 | 1 | 0 | ||||||||||||||
| 0 | 3 | 2 | 1 | 3 | 2 | 1 | 0 | 2 | 1 | 0 | 3 | 1 | 0 | 3 | 2 | ||||||||||||||
| 3 | 0 | 1 | 2 | 0 | 1 | 2 | 3 | 1 | 2 | 3 | 0 | 2 | 3 | 0 | 1 |
N.B.: De verdubbelaars zijn toepasbaar op de 3 basisvierkanten, maar niet op een willekeurig gekozen meest perfect 4x4 vierkant.
Je kunt het magisch 8x8 vierkant verdubbelen naar 16x16, 32x32, ...
