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Perfect (Nasik) magic 8x8x8 cube
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How to use a 8x8 most perfect square to produce a perfect (Nasik) magic 8x8x8 cube
 
Read on http://en.wikipedia.org/wiki/Perfect_magic_cube everything about the features of the perfect magic
cube. Perfect magic cubes exist from the size (order) of 5x5x5 and bigger.
 
See on www.trump.de/magic-squares/magic-cubes/cubes-1.html the following perfect magic 5x5x5 cube.


The first known perfect magic cube of order 5



Walter Trump and Christian Boyer, 2003-11-13
 


 
The above mentioned 5x5x5 magic cube has the following magic features:
-         the 5 rows, the 5 columns and the 2 diagonals in each level give the magic sum of 315:
-         the 25 pillars give the magic sum of 315;
-         the 20 diagonals (for example 115+64+38+87+11=315 or 106+44+58+87+20=315) through
the 5 levels give the magic sum of 315;
-         The four space diagonals (for example 67+39+63+87+59=315) give the magic sum of 315.
 
 
You can use a (random chosen) 8x8 most perfect magic square (= Franklin panmagic 8x8 square) to produce a perfect
(Nasik) magic 8x8x8 cube:
 
 
(random chosen) 8x8 most perfect
3
30
44
53
43
54
4
29
48
49
7
26
8
25
47
50
21
12
62
35
61
36
22
11
58
39
17
16
18
15
57
40
19
14
60
37
59
38
20
13
64
33
23
10
24
9
63
34
5
28
46
51
45
52
6
27
42
55
1
32
2
31
41
56

1x digit
 
 
 
 
 
 
+ 64x digit
 
 
 
 
=
1st level perfect (Nasik) 8x8x8
3
30
44
53
3
30
44
53
 
1
2
3
7
6
5
4
0
 
67
158
236
501
387
350
300
53
48
49
7
26
48
49
7
26
 
4
0
1
2
3
7
6
5
 
304
49
71
154
240
497
391
346
5
28
46
51
5
28
46
51
 
6
5
4
0
1
2
3
7
 
389
348
302
51
69
156
238
499
42
55
1
32
42
55
1
32
 
3
7
6
5
4
0
1
2
 
234
503
385
352
298
55
65
160
21
12
62
35
21
12
62
35
 
1
2
3
7
6
5
4
0
 
85
140
254
483
405
332
318
35
58
39
17
16
58
39
17
16
 
4
0
1
2
3
7
6
5
 
314
39
81
144
250
487
401
336
19
14
60
37
19
14
60
37
 
6
5
4
0
1
2
3
7
 
403
334
316
37
83
142
252
485
64
33
23
10
64
33
23
10
 
3
7
6
5
4
0
1
2
 
256
481
407
330
320
33
87
138
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1x digit
 
 
 
 
 
 
+ 64x digit
 
 
 
 
=
2nd level perfect (Nasik) 8x8x8
45
52
6
27
45
52
6
27
 
6
5
4
0
1
2
3
7
 
429
372
262
27
109
180
198
475
2
31
41
56
2
31
41
56
 
3
7
6
5
4
0
1
2
 
194
479
425
376
258
31
105
184
61
36
22
11
61
36
22
11
 
1
2
3
7
6
5
4
0
 
125
164
214
459
445
356
278
11
18
15
57
40
18
15
57
40
 
4
0
1
2
3
7
6
5
 
274
15
121
168
210
463
441
360
59
38
20
13
59
38
20
13
 
6
5
4
0
1
2
3
7
 
443
358
276
13
123
166
212
461
24
9
63
34
24
9
63
34
 
3
7
6
5
4
0
1
2
 
216
457
447
354
280
9
127
162
43
54
4
29
43
54
4
29
 
1
2
3
7
6
5
4
0
 
107
182
196
477
427
374
260
29
8
25
47
50
8
25
47
50
 
4
0
1
2
3
7
6
5
 
264
25
111
178
200
473
431
370
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1x digit
 
 
 
 
 
 
+ 64x digit
 
 
 
 
=
3rd level perfect (Nasik) 8x8x8
53
3
30
44
53
3
30
44
 
1
2
3
7
6
5
4
0
 
117
131
222
492
437
323
286
44
26
48
49
7
26
48
49
7
 
4
0
1
2
3
7
6
5
 
282
48
113
135
218
496
433
327
51
5
28
46
51
5
28
46
 
6
5
4
0
1
2
3
7
 
435
325
284
46
115
133
220
494
32
42
55
1
32
42
55
1
 
3
7
6
5
4
0
1
2
 
224
490
439
321
288
42
119
129
35
21
12
62
35
21
12
62
 
1
2
3
7
6
5
4
0
 
99
149
204
510
419
341
268
62
16
58
39
17
16
58
39
17
 
4
0
1
2
3
7
6
5
 
272
58
103
145
208
506
423
337
37
19
14
60
37
19
14
60
 
6
5
4
0
1
2
3
7
 
421
339
270
60
101
147
206
508
10
64
33
23
10
64
33
23
 
3
7
6
5
4
0
1
2
 
202
512
417
343
266
64
97
151
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1x digit
 
 
 
 
 
 
+ 64x digit
 
 
 
 
=
4th level perfect (Nasik) 8x8x8
27
45
52
6
27
45
52
6
 
6
5
4
0
1
2
3
7
 
411
365
308
6
91
173
244
454
56
2
31
41
56
2
31
41
 
3
7
6
5
4
0
1
2
 
248
450
415
361
312
2
95
169
11
61
36
22
11
61
36
22
 
1
2
3
7
6
5
4
0
 
75
189
228
470
395
381
292
22
40
18
15
57
40
18
15
57
 
4
0
1
2
3
7
6
5
 
296
18
79
185
232
466
399
377
13
59
38
20
13
59
38
20
 
6
5
4
0
1
2
3
7
 
397
379
294
20
77
187
230
468
34
24
9
63
34
24
9
63
 
3
7
6
5
4
0
1
2
 
226
472
393
383
290
24
73
191
29
43
54
4
29
43
54
4
 
1
2
3
7
6
5
4
0
 
93
171
246
452
413
363
310
4
50
8
25
47
50
8
25
47
 
4
0
1
2
3
7
6
5
 
306
8
89
175
242
456
409
367
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1x digit
 
 
 
 
 
 
+ 64x digit
 
 
 
 
=
5th level perfect (Nasik) 8x8x8
44
53
3
30
44
53
3
30
 
1
2
3
7
6
5
4
0
 
108
181
195
478
428
373
259
30
7
26
48
49
7
26
48
49
 
4
0
1
2
3
7
6
5
 
263
26
112
177
199
474
432
369
46
51
5
28
46
51
5
28
 
6
5
4