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Hoe maak ik een perfect (Nasik) magische 11x11x11 kubus?
Maak gebruik van de methode voor het panmagische 5x5 vierkant om een perfect (Nasik) magische
11x11x11 kubus te maken.
Als je een symmetrische (& perfect) magische kubus wil maken, plaats dan in de 1e rij van de 1e
laag van het 1e patroon het middelste getal van 0 t/m 10, dus de 5, op de 2e positie (van links) en
plaats de overige getallen in een 'symmetrische' volgorde, bijvoorbeeld: 4-5-6-7-8-9-10-0-1-2-3.
Als je alleen een perfecte (maar geen symmetrische) magische kubus wil maken, plaats dan de ge-
tallen 0 t/m 10 in willekeurige volgorde (b.v. 2-5-7-8-4-9-10-0-6-1-3).
Maak rij 2 t/m 11 van de 1e laag van het 1e patroon door de 1e rij telkens ([11+1]/2 = ) 6 plaatsen
naar links te verschuiven. Maak laag 2 t/m 11 van het 1e patroon door de kolommen van de 1e laag
telkens 2 plaatsen naar links te verschuiven.
Als je een symmetrische (& perfecte) magische kubus wil maken, plaats dan in de 1e rij van de 1e
laag van het 2e patroon het middelste getal van 0 t/m 10, dus de 5, op de 8e positie (van links) en
plaats de overige getallen in een 'symmetrische' volgorde, bijvoorbeeld: 9-10-0-1-2-3-4-5-6-7-8.
Als je alleen een perfecte (maar geen symmetrische) magische kubus wil maken, plaats dan de ge-
tallen 0 t/m 10 in willekeurige volgorde (b.v. 2-5-7-8-4-9-10-0-6-1-3).
Maak rij 2 t/m 11 van de 1e laag van het 2e patroon door de 1e rij telkens ([11+1]/2 = ) 6 plaatsen
naar rechts te verschuiven. Maak laag 2 t/m 11 van het 2e patroon door de kolommen van de 1e laag
telkens 2 plaatsen naar links te verschuiven.
Het 3e patroon is hetzelfde als het 2e patroon, maar dan met de lagen in omgekeerde volgorde (11 t/m
1 in plaats van 1 t/m 11).
Neem 1x getal uit 1e patroon + 11x getal uit 2e patroon + 121x getal uit 3e patroon en de perfect (Nasik)
magische 11x11x11 kubus is gereed.
| 1x getal + 1 uit 1e laag |
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+11x getal uit 1e laag |
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+ 121x getal uit 1e laag |
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+ 121x getal uit 2e laag |
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+ 121x getal uit 3e laag |
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| 1x getal + 1 uit 4e laag |
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+11x getal uit 4e laag |
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+ 121x getal uit 4e laag |
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|
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1x getal + 1 uit 5e laag |
|
|
+11x getal uit 5e laag |
|
|
+ 121x getal uit 5e laag |
| 1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
|
|
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
|
|
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
| 7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
| 2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
|
|
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
|
|
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
| 8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
| 3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
|
|
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
|
|
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
| 9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
| 4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
|
|
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
|
|
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
| 10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
| 5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
|
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
|
|
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
| 0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| 6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
|
|
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1x getal + 1 uit 6e laag |
|
|
+11x getal uit 6e laag |
|
|
+ 121x getal uit 6e laag |
| 3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
|
|
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
| 9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
|
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
| 4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
|
|
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
| 10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
| 5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
|
|
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
|
|
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
| 0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| 6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
|
|
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
|
|
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
| 1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
|
|
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
| 7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
|
|
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
| 2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
|
|
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
| 8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
|
|
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1x getal + 1 uit 7e laag |
|
|
+11x getal uit 7e laag |
|
|
+ 121x getal uit 7e laag |
| 5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
|
|
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
| 0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| 6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
|
|
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
| 1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
|
|
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
|
|
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
| 7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
| 2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
|
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
|
|
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
| 8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
| 3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
|
|
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
| 9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
|
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
| 4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
| 10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1x getal + 1 uit 8e laag |
|
|
+11x getal uit 8e laag |
|
|
+ 121x getal uit 8e laag |
| 7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
|
|
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
| 2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
|
|
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
|
|
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
| 8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
| 3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
|
|
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
|
|
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
| 9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
| 4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
|
|
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
|
|
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
| 10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
| 5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
|
|
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
|
|
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
| 0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| 6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
|
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
|
|
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
| 1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
|
|
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1x getal + 1 uit 9e laag |
|
|
+11x getal uit 9e laag |
|
|
+ 121x getal uit 9e laag |
| 9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
|
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
| 4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
|
|
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
| 10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
| 5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
|
|
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
| 0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| 6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
|
|
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
|
|
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
| 1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
| 7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
|
|
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
| 2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
|
|
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
| 8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
|
|
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
| 3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
|
|
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1x getal + 1 uit 10e laag |
|
|
+11x getal uit 10e laag |
|
|
+ 121x getal uit 10e laag |
| 0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| 6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
|
|
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
| 1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
|
|
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
|
|
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
| 7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
| 2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
|
|
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
|
|
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
| 8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
| 3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
|
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
|
|
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
| 9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
| 4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
|
|
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
| 10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
| 5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1x getal + 1 uit 11e laag |
|
|
+11x getal uit 11e laag |
|
|
+ 121x getal uit 11e laag |
| 2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
|
|
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
| 8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
|
|
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
| 3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
|
|
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
|
|
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
| 9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
| 4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
|
|
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
|
|
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
| 10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
| 5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
|
|
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
|
|
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
| 0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| 6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
|
|
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
|
|
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
| 1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
|
|
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
| 7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
|
|
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
2 |
3 |
=
| Perfect (Nasik) 11x11x11 magische kubus, 1e laag |
| 951 |
1084 |
1096 |
1229 |
31 |
164 |
297 |
419 |
552 |
685 |
818 |
| 165 |
287 |
420 |
553 |
686 |
819 |
952 |
1085 |
1097 |
1230 |
32 |
| 820 |
953 |
1086 |
1098 |
1231 |
33 |
155 |
288 |
421 |
554 |
687 |
| 23 |
156 |
289 |
422 |
555 |
688 |
821 |
954 |
1087 |
1099 |
1232 |
| 689 |
822 |
955 |
1088 |
1100 |
1222 |
24 |
157 |
290 |
423 |
556 |
| 1223 |
25 |
158 |
291 |
424 |
557 |
690 |
823 |
956 |
1089 |
1090 |
| 558 |
691 |
824 |
957 |
1079 |
1091 |
1224 |
26 |
159 |
292 |
425 |
| 1092 |
1225 |
27 |
160 |
293 |
426 |
559 |
692 |
825 |
947 |
1080 |
| 427 |
560 |
693 |
815 |
948 |
1081 |
1093 |
1226 |
28 |
161 |
294 |
| 1082 |
1094 |
1227 |
29 |
162 |
295 |
428 |
561 |
683 |
816 |
949 |
| 296 |
429 |
551 |
684 |
817 |
950 |
1083 |
1095 |
1228 |
30 |
163 |
| Perfect (Nasik) 11x11x11 magische kubus, 2e laag |
| 612 |
745 |
878 |
1011 |
1144 |
1266 |
68 |
201 |
334 |
467 |
600 |
| 1267 |
69 |
202 |
335 |
468 |
601 |
613 |
746 |
879 |
1012 |
1134 |
| 602 |
614 |
747 |
880 |
1002 |
1135 |
1268 |
70 |
203 |
336 |
469 |
| 1136 |
1269 |
71 |
204 |
337 |
470 |
603 |
615 |
748 |
870 |
1003 |
| 471 |
604 |
616 |
738 |
871 |
1004 |
1137 |
1270 |
72 |
205 |
338 |
| 1005 |
1138 |
1271 |
73 |
206 |
339 |
472 |
605 |
606 |
739 |
872 |
| 340 |
473 |
595 |
607 |
740 |
873 |
1006 |
1139 |
1272 |
74 |
207 |
| 874 |
1007 |
1140 |
1273 |
75 |
208 |
341 |
463 |
596 |
608 |
741 |
| 209 |
331 |
464 |
597 |
609 |
742 |
875 |
1008 |
1141 |
1274 |
76 |
| 743 |
876 |
1009 |
1142 |
1275 |
77 |
199 |
332 |
465 |
598 |
610 |
| 67 |
200 |
333 |
466 |
599 |
611 |
744 |
877 |
1010 |
1143 |
1276 |
| Perfect (Nasik) 11x11x11 magische kubus, 3e laag |
| 394 |
527 |
660 |
782 |
915 |
1048 |
1181 |
1314 |
116 |
128 |
261 |
| 1049 |
1182 |
1315 |
117 |
129 |
262 |
395 |
528 |
650 |
783 |
916 |
| 263 |
396 |
518 |
651 |
784 |
917 |
1050 |
1183 |
1316 |
118 |
130 |
| 918 |
1051 |
1184 |
1317 |
119 |
131 |
264 |
386 |
519 |
652 |
785 |
| 132 |
254 |
387 |
520 |
653 |
786 |
919 |
1052 |
1185 |
1318 |
120 |
| 787 |
920 |
1053 |
1186 |
1319 |
121 |
122 |
255 |
388 |
521 |
654 |
| 111 |
123 |
256 |
389 |
522 |
655 |
788 |
921 |
1054 |
1187 |
1320 |
| 656 |
789 |
922 |
1055 |
1188 |
1310 |
112 |
124 |
257 |
390 |
523 |
| 1311 |
113 |
125 |
258 |
391 |
524 |
657 |
790 |
923 |
1056 |
1178 |
| 525 |
658 |
791 |
924 |
1046 |
1179 |
1312 |
114 |
126 |
259 |
392 |
| 1180 |
1313 |
115 |
127 |
260 |
393 |
526 |
659 |
792 |
914 |
1047 |
| Perfect (Nasik) 11x11x11 magische kubus, 4e laag |
| 176 |
298 |
431 |
564 |
697 |
830 |
963 |
975 |
1108 |
1241 |
43 |
| 831 |
964 |
976 |
1109 |
1242 |
44 |
166 |
299 |
432 |
565 |
698 |
| 34 |
167 |
300 |
433 |
566 |
699 |
832 |
965 |
977 |
1110 |
1243 |
| 700 |
833 |
966 |
978 |
1111 |
1233 |
35 |
168 |
301 |
434 |
567 |
| 1234 |
36 |
169 |
302 |
435 |
568 |
701 |
834 |
967 |
979 |
1101 |
| 569 |
702 |
835 |
968 |
969 |
1102 |
1235 |
37 |
170 |
303 |
436 |
| 1103 |
1236 |
38 |
171 |
304 |
437 |
570 |
703 |
836 |
958 |
970 |
| 438 |
571 |
704 |
826 |
959 |
971 |
1104 |
1237 |
39 |
172 |
305 |
| 972 |
1105 |
1238 |
40 |
173 |
306 |
439 |
572 |
694 |
827 |
960 |
| 307 |
440 |
562 |
695 |
828 |
961 |
973 |
1106 |
1239 |
41 |
174 |
| 962 |
974 |
1107 |
1240 |
42 |
175 |
308 |
430 |
563 |
696 |
829 |
| Perfect (Nasik) 11x11x11 magische kubus, 5e laag |
| 1278 |
80 |
213 |
346 |
479 |
491 |
624 |
757 |
890 |
1023 |
1145 |
| 492 |
625 |
758 |
891 |
1013 |
1146 |
1279 |
81 |
214 |
347 |
480 |
| 1147 |
1280 |
82 |
215 |
348 |
481 |
493 |
626 |
759 |
881 |
1014 |
| 482 |
494 |
627 |
749 |
882 |
1015 |
1148 |
1281 |
83 |
216 |
349 |
| 1016 |
1149 |
1282 |
84 |
217 |
350 |
483 |
495 |
617 |
750 |
883 |
| 351 |
484 |
485 |
618 |
751 |
884 |
1017 |
1150 |
1283 |
85 |
218 |
| 885 |
1018 |
1151 |
1284 |
86 |
219 |
352 |
474 |
486 |
619 |
752 |
| 220 |
342 |
475 |
487 |
620 |
753 |
886 |
1019 |
1152 |
1285 |
87 |
| 754 |
887 |
1020 |
1153 |
1286 |
88 |
210 |
343 |
476 |
488 |
621 |
| 78 |
211 |
344 |
477 |
489 |
622 |
755 |
888 |
1021 |
1154 |
1287 |
| 623 |
756 |
889 |
1022 |
1155 |
1277 |
79 |
212 |
345 |
478 |
490 |
| Perfect (Nasik) 11x11x11 magische kubus, 6e laag |
| 1060 |
1193 |
1326 |
7 |
140 |
273 |
406 |
539 |
661 |
794 |
927 |
| 274 |
407 |
529 |
662 |
795 |
928 |
1061 |
1194 |
1327 |
8 |
141 |
| 929 |
1062 |
1195 |
1328 |
9 |
142 |
275 |
397 |
530 |
663 |
796 |
| 143 |
265 |
398 |
531 |
664 |
797 |
930 |
1063 |
1196 |
1329 |
10 |
| 798 |
931 |
1064 |
1197 |
1330 |
11 |
133 |
266 |
399 |
532 |
665 |
| 1 |
134 |
267 |
400 |
533 |
666 |
799 |
932 |
1065 |
1198 |
1331 |
| 667 |
800 |
933 |
1066 |
1199 |
1321 |
2 |
135 |
268 |
401 |
534 |
| 1322 |
3 |
136 |
269 |
402 |
535 |
668 |
801 |
934 |
1067 |
1189 |
| 536 |
669 |
802 |
935 |
1057 |
1190 |
1323 |
4 |
137 |
270 |
403 |
| 1191 |
1324 |
5 |
138 |
271 |
404 |
537 |
670 |
803 |
925 |
1058 |
| 405 |
538 |
671 |
793 |
926 |
1059 |
1192 |
1325 |
6 |
139 |
272 |
| Perfect (Nasik) 11x11x11 magische kubus, 7e laag |
| 842 |
854 |
987 |
1120 |
1253 |
55 |
177 |
310 |
443 |
576 |
709 |
| 45 |
178 |
311 |
444 |
577 |
710 |
843 |
855 |
988 |
1121 |
1254 |
| 711 |
844 |
856 |
989 |
1122 |
1244 |
46 |
179 |
312 |
445 |
578 |
| 1245 |
47 |
180 |
313 |
446 |
579 |
712 |
845 |
857 |
990 |
1112 |
| 580 |
713 |
846 |
858 |
980 |
1113 |
1246 |
48 |
181 |
314 |
447 |
| 1114 |
1247 |
49 |
182 |
315 |
448 |
581 |
714 |
847 |
848 |
981 |
| 449 |
582 |
715 |
837 |
849 |
982 |
1115 |
1248 |
50 |
183 |
316 |
| 983 |
1116 |
1249 |
51 |
184 |
317 |
450 |
583 |
705 |
838 |
850 |
| 318 |
451 |
573 |
706 |
839 |
851 |
984 |
1117 |
1250 |
52 |
185 |
| 852 |
985 |
1118 |
1251 |
53 |
186 |
319 |
441 |
574 |
707 |
840 |
| 187 |
309 |
442 |
575 |
708 |
841 |
853 |
986 |
1119 |
1252 |
54 |
| Perfect (Nasik) 11x11x11 magische kubus, 8e laag |
| 503 |
636 |
769 |
902 |
1024 |
1157 |
1290 |
92 |
225 |
358 |
370 |
| 1158 |
1291 |
93 |
226 |
359 |
371 |
504 |
637 |
770 |
892 |
1025 |
| 372 |
505 |
638 |
760 |
893 |
1026 |
1159 |
1292 |
94 |
227 |
360 |
| 1027 |
1160 |
1293 |
95 |
228 |
361 |
373 |
506 |
628 |
761 |
894 |
| 362 |
374 |
496 |
629 |
762 |
895 |
1028 |
1161 |
1294 |
96 |
229 |
| 896 |
1029 |
1162 |
1295 |
97 |
230 |
363 |
364 |
497 |
630 |
763 |
| 231 |
353 |
365 |
498 |
631 |
764 |
897 |
1030 |
1163 |
1296 |
98 |
| 765 |
898 |
1031 |
1164 |
1297 |
99 |
221 |
354 |
366 |
499 |
632 |
| 89 |
222 |
355 |
367 |
500 |
633 |
766 |
899 |
1032 |
1165 |
1298 |
| 634 |
767 |
900 |
1033 |
1166 |
1288 |
90 |
223 |
356 |
368 |
501 |
| 1289 |
91 |
224 |
357 |
369 |
502 |
635 |
768 |
901 |
1034 |
1156 |
| Perfect (Nasik) 11x11x11 magische kubus, 9e laag |
| 285 |
418 |
540 |
673 |
806 |
939 |
1072 |
1205 |
1217 |
19 |
152 |
| 940 |
1073 |
1206 |
1218 |
20 |
153 |
286 |
408 |
541 |
674 |
807 |
| 154 |
276 |
409 |
542 |
675 |
808 |
941 |
1074 |
1207 |
1219 |
21 |
| 809 |
942 |
1075 |
1208 |
1220 |
22 |
144 |
277 |
410 |
543 |
676 |
| 12 |
145 |
278 |
411 |
544 |
677 |
810 |
943 |
1076 |
1209 |
1221 |
| 678 |
811 |
944 |
1077 |
1210 |
1211 |
13 |
146 |
279 |
412 |
545 |
| 1212 |
14 |
147 |
280 |
413 |
546 |
679 |
812 |
945 |
1078 |
1200 |
| 547 |
680 |
813 |
946 |
1068 |
1201 |
1213 |
15 |
148 |
281 |
414 |
| 1202 |
1214 |
16 |
149 |
282 |
415 |
548 |
681 |
814 |
936 |
1069 |
| 416 |
549 |
682 |
804 |
937 |
1070 |
1203 |
1215 |
17 |
150 |
283 |
| 1071 |
1204 |
1216 |
18 |
151 |
284 |
417 |
550 |
672 |
805 |
938 |
| Perfect (Nasik) 11x11x11 magische kubus, 10e laag |
| 56 |
189 |
322 |
455 |
588 |
721 |
733 |
866 |
999 |
1132 |
1265 |
| 722 |
734 |
867 |
1000 |
1133 |
1255 |
57 |
190 |
323 |
456 |
589 |
| 1256 |
58 |
191 |
324 |
457 |
590 |
723 |
735 |
868 |
1001 |
1123 |
| 591 |
724 |
736 |
869 |
991 |
1124 |
1257 |
59 |
192 |
325 |
458 |
| 1125 |
1258 |
60 |
193 |
326 |
459 |
592 |
725 |
737 |
859 |
992 |
| 460 |
593 |
726 |
727 |
860 |
993 |
1126 |
1259 |
61 |
194 |
327 |
| 994 |
1127 |
1260 |
62 |
195 |
328 |
461 |
594 |
716 |
728 |
861 |
| 329 |
462 |
584 |
717 |
729 |
862 |
995 |
1128 |
1261 |
63 |
196 |
| 863 |
996 |
1129 |
1262 |
64 |
197 |
330 |
452 |
585 |
718 |
730 |
| 198 |
320 |
453 |
586 |
719 |
731 |
864 |
997 |
1130 |
1263 |
65 |
| 732 |
865 |
998 |
1131 |
1264 |
66 |
188 |
321 |
454 |
587 |
720 |
| Perfect (Nasik) 11x11x11 magische kubus, 11e laag |
| 1169 |
1302 |
104 |
237 |
249 |
382 |
515 |
648 |
781 |
903 |
1036 |
| 383 |
516 |
649 |
771 |
904 |
1037 |
1170 |
1303 |
105 |
238 |
250 |
| 1038 |
1171 |
1304 |
106 |
239 |
251 |
384 |
517 |
639 |
772 |
905 |
| 252 |
385 |
507 |
640 |
773 |
906 |
1039 |
1172 |
1305 |
107 |
240 |
| 907 |
1040 |
1173 |
1306 |
108 |
241 |
253 |
375 |
508 |
641 |
774 |
| 242 |
243 |
376 |
509 |
642 |
775 |
908 |
1041 |
1174 |
1307 |
109 |
| 776 |
909 |
1042 |
1175 |
1308 |
110 |
232 |
244 |
377 |
510 |
643 |
| 100 |
233 |
245 |
378 |
511 |
644 |
777 |
910 |
1043 |
1176 |
1309 |
| 645 |
778 |
911 |
1044 |
1177 |
1299 |
101 |
234 |
246 |
379 |
512 |
| 1300 |
102 |
235 |
247 |
380 |
513 |
646 |
779 |
912 |
1045 |
1167 |
| 514 |
647 |
780 |
913 |
1035 |
1168 |
1301 |
103 |
236 |
248 |
381 |
Deze kubus is symmetrisch, panmagisch in elke laag en pandiagonaal & pantriagonaal magisch door de
lagen heen (voor uitleg over de magische eigenschappen, zie vorige webpagina).
Bovenstaande methode werkt voor kubus met orde is oneven maar geen veelvoud van 3 vanaf 11 (= 11x11x11,
13x13x13, 17x17x17, 19x19x19, 23x23x23, 25x25x25, 29x29x29, ...).
Maak zelf een magische kubussen in EXCEL:
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