5x5x5x5 pantriagonal magic hypercube
I have analyzed Dwane Campbell's 5x5x5x5 pantriagonal cube (see download on website
http://magictesseract.com/odd_tesseract). The two grids consists of a simple symmetric 5x5 magic square and 24x the (semi
magic) shifted versions of the 5x5 square.
Take 1x number from first grid
|
1 |
19 |
7 |
25 |
13 |
14 |
2 |
20 |
8 |
21 |
22 |
15 |
3 |
16 |
9 |
10 |
23 |
11 |
4 |
17 |
18 |
6 |
24 |
12 |
5 |
||||
|
18 |
6 |
24 |
12 |
5 |
1 |
19 |
7 |
25 |
13 |
14 |
2 |
20 |
8 |
21 |
22 |
15 |
3 |
16 |
9 |
10 |
23 |
11 |
4 |
17 |
||||
|
10 |
23 |
11 |
4 |
17 |
18 |
6 |
24 |
12 |
5 |
1 |
19 |
7 |
25 |
13 |
14 |
2 |
20 |
8 |
21 |
22 |
15 |
3 |
16 |
9 |
||||
|
22 |
15 |
3 |
16 |
9 |
10 |
23 |
11 |
4 |
17 |
18 |
6 |
24 |
12 |
5 |
1 |
19 |
7 |
25 |
13 |
14 |
2 |
20 |
8 |
21 |
||||
|
14 |
2 |
20 |
8 |
21 |
22 |
15 |
3 |
16 |
9 |
10 |
23 |
11 |
4 |
17 |
18 |
6 |
24 |
12 |
5 |
1 |
19 |
7 |
25 |
13 |
||||
|
19 |
7 |
25 |
13 |
1 |
2 |
20 |
8 |
21 |
14 |
15 |
3 |
16 |
9 |
22 |
23 |
11 |
4 |
17 |
10 |
6 |
24 |
12 |
5 |
18 |
||||
|
6 |
24 |
12 |
5 |
18 |
19 |
7 |
25 |
13 |
1 |
2 |
20 |
8 |
21 |
14 |
15 |
3 |
16 |
9 |
22 |
23 |
11 |
4 |
17 |
10 |
||||
|
23 |
11 |
4 |
17 |
10 |
6 |
24 |
12 |
5 |
18 |
19 |
7 |
25 |
13 |
1 |
2 |
20 |
8 |
21 |
14 |
15 |
3 |
16 |
9 |
22 |
||||
|
15 |
3 |
16 |
9 |
22 |
23 |
11 |
4 |
17 |
10 |
6 |
24 |
12 |
5 |
18 |
19 |
7 |
25 |
13 |
1 |
2 |
20 |
8 |
21 |
14 |
||||
|
2 |
20 |
8 |
21 |
14 |
15 |
3 |
16 |
9 |
22 |
23 |
11 |
4 |
17 |
10 |
6 |
24 |
12 |
5 |
18 |
19 |
7 |
25 |
13 |
1 |
||||
|
7 |
25 |
13 |
1 |
19 |
20 |
8 |
21 |
14 |
2 |
3 |
16 |
9 |
22 |
15 |
11 |
4 |
17 |
10 |
23 |
24 |
12 |
5 |
18 |
6 |
||||
|
24 |
12 |
5 |
18 |
6 |
7 |
25 |
13 |
1 |
19 |
20 |
8 |
21 |
14 |
2 |
3 |
16 |
9 |
22 |
15 |
11 |
4 |
17 |
10 |
23 |
||||
|
11 |
4 |
17 |
10 |
23 |
24 |
12 |
5 |
18 |
6 |
7 |
25 |
13 |
1 |
19 |
20 |
8 |
21 |
14 |
2 |
3 |
16 |
9 |
22 |
15 |
||||
|
3 |
16 |
9 |
22 |
15 |
11 |
4 |
17 |
10 |
23 |
24 |
12 |
5 |
18 |
6 |
7 |
25 |
13 |
1 |
19 |
20 |
8 |
21 |
14 |
2 |
||||
|
20 |
8 |
21 |
14 |
2 |
3 |
16 |
9 |
22 |
15 |
11 |
4 |
17 |
10 |
23 |
24 |
12 |
5 |
18 |
6 |
7 |
25 |
13 |
1 |
19 |
||||
|
25 |
13 |
1 |
19 |
7 |
8 |
21 |
14 |
2 |
20 |
16 |
9 |
22 |
15 |
3 |
4 |
17 |
10 |
23 |
11 |
12 |
5 |
18 |
6 |
24 |
||||
|
12 |
5 |
18 |
6 |
24 |
25 |
13 |
1 |
19 |
7 |
8 |
21 |
14 |
2 |
20 |
16 |
9 |
22 |
15 |
3 |
4 |
17 |
10 |
23 |
11 |
||||
|
4 |
17 |
10 |
23 |
11 |
12 |
5 |
18 |
6 |
24 |
25 |
13 |
1 |
19 |
7 |
8 |
21 |
14 |
2 |
20 |
16 |
9 |
22 |
15 |
3 |
||||
|
16 |
9 |
22 |
15 |
3 |
4 |
17 |
10 |
23 |
11 |
12 |
5 |
18 |
6 |
24 |
25 |
13 |
1 |
19 |
7 |
8 |
21 |
14 |
2 |
20 |
||||
|
8 |
21 |
14 |
2 |
20 |
16 |
9 |
22 |
15 |
3 |
4 |
17 |
10 |
23 |
11 |
12 |
5 |
18 |
6 |
24 |
25 |
13 |
1 |
19 |
7 |
||||
|
13 |
1 |
19 |
7 |
25 |
21 |
14 |
2 |
20 |
8 |
9 |
22 |
15 |
3 |
16 |
17 |
10 |
23 |
11 |
4 |
5 |
18 |
6 |
24 |
12 |
||||
|
5 |
18 |
6 |
24 |
12 |
13 |
1 |
19 |
7 |
25 |
21 |
14 |
2 |
20 |
8 |
9 |
22 |
15 |
3 |
16 |
17 |
10 |
23 |
11 |
4 |
||||
|
17 |
10 |
23 |
11 |
4 |
5 |
18 |
6 |
24 |
12 |
13 |
1 |
19 |
7 |
25 |
21 |
14 |
2 |
20 |
8 |
9 |
22 |
15 |
3 |
16 |
||||
|
9 |
22 |
15 |
3 |
16 |
17 |
10 |
23 |
11 |
4 |
5 |
18 |
6 |
24 |
12 |
13 |
1 |
19 |
7 |
25 |
21 |
14 |
2 |
20 |
8 |
||||
|
21 |
14 |
2 |
20 |
8 |
9 |
22 |
15 |
3 |
16 |
17 |
10 |
23 |
11 |
4 |
5 |
18 |
6 |
24 |
12 |
13 |
1 |
19 |
7 |
25 |
+ 25x number from second grid
|
1 |
14 |
22 |
10 |
18 |
19 |
2 |
15 |
23 |
6 |
7 |
20 |
3 |
11 |
24 |
25 |
8 |
16 |
4 |
12 |
13 |
21 |
9 |
17 |
5 |
||||
|
19 |
2 |
15 |
23 |
6 |
7 |
20 |
3 |
11 |
24 |
25 |
8 |
16 |
4 |
12 |
13 |
21 |
9 |
17 |
5 |
1 |
14 |
22 |
10 |
18 |
||||
|
7 |
20 |
3 |
11 |
24 |
25 |
8 |
16 |
4 |
12 |
13 |
21 |
9 |
17 |
5 |
1 |
14 |
22 |
10 |
18 |
19 |
2 |
15 |
23 |
6 |
||||
|
25 |
8 |
16 |
4 |
12 |
13 |
21 |
9 |
17 |
5 |
1 |
14 |
22 |
10 |
18 |
19 |
2 |
15 |
23 |
6 |
7 |
20 |
3 |
11 |
24 |
||||
|
13 |
21 |
9 |
17 |
5 |
1 |
14 |
22 |
10 |
18 |
19 |
2 |
15 |
23 |
6 |
7 |
20 |
3 |
11 |
24 |
25 |
8 |
16 |
4 |
12 |
||||
|
18 |
1 |
14 |
22 |
10 |
6 |
19 |
2 |
15 |
23 |
24 |
7 |
20 |
3 |
11 |
12 |
25 |
8 |
16 |
4 |
5 |
13 |
21 |
9 |
17 |
||||
|
6 |
19 |
2 |
15 |
23 |
24 |
7 |
20 |
3 |
11 |
12 |
25 |
8 |
16 |
4 |
5 |
13 |
21 |
9 |
17 |
18 |
1 |
14 |
22 |
10 |
||||
|
24 |
7 |
20 |
3 |
11 |
12 |
25 |
8 |
16 |
4 |
5 |
13 |
21 |
9 |
17 |
18 |
1 |
14 |
22 |
10 |
6 |
19 |
2 |
15 |
23 |
||||
|
12 |
25 |
8 |
16 |
4 |
5 |
13 |
21 |
9 |
17 |
18 |
1 |
14 |
22 |
10 |
6 |
19 |
2 |
15 |
23 |
24 |
7 |
20 |
3 |
11 |
||||
|
5 |
13 |
21 |
9 |
17 |
18 |
1 |
14 |
22 |
10 |
6 |
19 |
2 |
15 |
23 |
24 |
7 |
20 |
3 |
11 |
12 |
25 |
8 |
16 |
4 |
||||
|
10 |
18 |
1 |
14 |
22 |
23 |
6 |
19 |
2 |
15 |
11 |
24 |
7 |
20 |
3 |
4 |
12 |
25 |
8 |
16 |
17 |
5 |
13 |
21 |
9 |
||||
|
23 |
6 |
19 |
2 |
15 |
11 |
24 |
7 |
20 |
3 |
4 |
12 |
25 |
8 |
16 |
17 |
5 |
13 |
21 |
9 |
10 |
18 |
1 |
14 |
22 |
||||
|
11 |
24 |
7 |
20 |
3 |
4 |
12 |
25 |
8 |
16 |
17 |
5 |
13 |
21 |
9 |
10 |
18 |
1 |
14 |
22 |
23 |
6 |
19 |
2 |
15 |
||||
|
4 |
12 |
25 |
8 |
16 |
17 |
5 |
13 |
21 |
9 |
10 |
18 |
1 |
14 |
22 |
23 |
6 |
19 |
2 |
15 |
11 |
24 |
7 |
20 |
3 |
||||
|
17 |
5 |
13 |
21 |
9 |
10 |
18 |
1 |
14 |
22 |
23 |
6 |
19 |
2 |
15 |
11 |
24 |
7 |
20 |
3 |
4 |
12 |
25 |
8 |
16 |
||||
|
22 |
10 |
18 |
1 |
14 |
15 |
23 |
6 |
19 |
2 |
3 |
11 |
24 |
7 |
20 |
16 |
4 |
12 |
25 |
8 |
9 |
17 |
5 |
13 |
21 |
||||
|
15 |
23 |
6 |
19 |
2 |
3 |
11 |
24 |
7 |
20 |
16 |
4 |
12 |
25 |
8 |
9 |
17 |
5 |
13 |
21 |
22 |
10 |
18 |
1 |
14 |
||||
|
3 |
11 |
24 |
7 |
20 |
16 |
4 |
12 |
25 |
8 |
9 |
17 |
5 |
13 |
21 |
22 |
10 |
18 |
1 |
14 |
15 |
23 |
6 |
19 |
2 |
||||
|
16 |
4 |
12 |
25 |
8 |
9 |
17 |
5 |
13 |
21 |
22 |
10 |
18 |
1 |
14 |
15 |
23 |
6 |
19 |
2 |
3 |
11 |
24 |
7 |
20 |
||||
|
9 |
17 |
5 |
13 |
21 |
22 |
10 |
18 |
1 |
14 |
15 |
23 |
6 |
19 |
2 |
3 |
11 |
24 |
7 |
20 |
16 |
4 |
12 |
25 |
8 |
||||
|
14 |
22 |
10 |
18 |
1 |
2 |
15 |
23 |
6 |
19 |
20 |
3 |
11 |
24 |
7 |
8 |
16 |
4 |
12 |
25 |
21 |
9 |
17 |
5 |
13 |
||||
|
2 |
15 |
23 |
6 |
19 |
20 |
3 |
11 |
24 |
7 |
8 |
16 |
4 |
12 |
25 |
21 |
9 |
17 |
5 |
13 |
14 |
22 |
10 |
18 |
1 |
||||
|
20 |
3 |
11 |
24 |
7 |
8 |
16 |
4 |
12 |
25 |
21 |
9 |
17 |
5 |
13 |
14 |
22 |
10 |
18 |
1 |
2 |
15 |
23 |
6 |
19 |
||||
|
8 |
16 |
4 |
12 |
25 |
21 |
9 |
17 |
5 |
13 |
14 |
22 |
10 |
18 |
1 |
2 |
15 |
23 |
6 |
19 |
20 |
3 |
11 |
24 |
7 |
||||
|
21 |
9 |
17 |
5 |
13 |
14 |
22 |
10 |
18 |
1 |
2 |
15 |
23 |
6 |
19 |
20 |
3 |
11 |
24 |
7 |
8 |
16 |
4 |
12 |
25 |
5x5x5x5 pantriagonal hypercube
|
1 |
344 |
532 |
250 |
438 |
464 |
27 |
370 |
558 |
146 |
172 |
490 |
53 |
266 |
584 |
610 |
198 |
386 |
79 |
292 |
318 |
506 |
224 |
412 |
105 |
||||
|
468 |
31 |
374 |
562 |
130 |
151 |
494 |
57 |
275 |
588 |
614 |
177 |
395 |
83 |
296 |
322 |
515 |
203 |
416 |
109 |
10 |
348 |
536 |
229 |
442 |
||||
|
160 |
498 |
61 |
254 |
592 |
618 |
181 |
399 |
87 |
280 |
301 |
519 |
207 |
425 |
113 |
14 |
327 |
545 |
233 |
446 |
472 |
40 |
353 |
566 |
134 |
||||
|
622 |
190 |
378 |
91 |
284 |
310 |
523 |
211 |
404 |
117 |
18 |
331 |
549 |
237 |
430 |
451 |
44 |
357 |
575 |
138 |
164 |
477 |
70 |
258 |
596 |
||||
|
314 |
502 |
220 |
408 |
121 |
22 |
340 |
528 |
241 |
434 |
460 |
48 |
361 |
554 |
142 |
168 |
481 |
74 |
262 |
580 |
601 |
194 |
382 |
100 |
288 |
||||
|
444 |
7 |
350 |
538 |
226 |
127 |
470 |
33 |
371 |
564 |
590 |
153 |
491 |
59 |
272 |
298 |
611 |
179 |
392 |
85 |
106 |
324 |
512 |
205 |
418 |
||||
|
131 |
474 |
37 |
355 |
568 |
594 |
157 |
500 |
63 |
251 |
277 |
620 |
183 |
396 |
89 |
115 |
303 |
516 |
209 |
422 |
448 |
11 |
329 |
542 |
235 |
||||
|
598 |
161 |
479 |
67 |
260 |
281 |
624 |
187 |
380 |
93 |
119 |
307 |
525 |
213 |
401 |
427 |
20 |
333 |
546 |
239 |
140 |
453 |
41 |
359 |
572 |
||||
|
290 |
603 |
191 |
384 |
97 |
123 |
311 |
504 |
217 |
410 |
431 |
24 |
337 |
530 |
243 |
144 |
457 |
50 |
363 |
551 |
577 |
170 |
483 |
71 |
264 |
||||
|
102 |
320 |
508 |
221 |
414 |
440 |
3 |
341 |
534 |
247 |
148 |
461 |
29 |
367 |
560 |
581 |
174 |
487 |
55 |
268 |
294 |
607 |
200 |
388 |
76 |
||||
|
232 |
450 |
13 |
326 |
544 |
570 |
133 |
471 |
39 |
352 |
253 |
591 |
159 |
497 |
65 |
86 |
279 |
617 |
185 |
398 |
424 |
112 |
305 |
518 |
206 |
||||
|
574 |
137 |
455 |
43 |
356 |
257 |
600 |
163 |
476 |
69 |
95 |
283 |
621 |
189 |
377 |
403 |
116 |
309 |
522 |
215 |
236 |
429 |
17 |
335 |
548 |
||||
|
261 |
579 |
167 |
485 |
73 |
99 |
287 |
605 |
193 |
381 |
407 |
125 |
313 |
501 |
219 |
245 |
433 |
21 |
339 |
527 |
553 |
141 |
459 |
47 |
365 |
||||
|
78 |
291 |
609 |
197 |
390 |
411 |
104 |
317 |
510 |
223 |
249 |
437 |
5 |
343 |
531 |
557 |
150 |
463 |
26 |
369 |
270 |
583 |
171 |
489 |
52 |
||||
|
420 |
108 |
321 |
514 |
202 |
228 |
441 |
9 |
347 |
540 |
561 |
129 |
467 |
35 |
373 |
274 |
587 |
155 |
493 |
56 |
82 |
300 |
613 |
176 |
394 |
||||
|
550 |
238 |
426 |
19 |
332 |
358 |
571 |
139 |
452 |
45 |
66 |
259 |
597 |
165 |
478 |
379 |
92 |
285 |
623 |
186 |
212 |
405 |
118 |
306 |
524 |
||||
|
362 |
555 |
143 |
456 |
49 |
75 |
263 |
576 |
169 |
482 |
383 |
96 |
289 |
602 |
195 |
216 |
409 |
122 |
315 |
503 |
529 |
242 |
435 |
23 |
336 |
||||
|
54 |
267 |
585 |
173 |
486 |
387 |
80 |
293 |
606 |
199 |
225 |
413 |
101 |
319 |
507 |
533 |
246 |
439 |
2 |
345 |
366 |
559 |
147 |
465 |
28 |
||||
|
391 |
84 |
297 |
615 |
178 |
204 |
417 |
110 |
323 |
511 |
537 |
230 |
443 |
6 |
349 |
375 |
563 |
126 |
469 |
32 |
58 |
271 |
589 |
152 |
495 |
||||
|
208 |
421 |
114 |
302 |
520 |
541 |
234 |
447 |
15 |
328 |
354 |
567 |
135 |
473 |
36 |
62 |
255 |
593 |
156 |
499 |
400 |
88 |
276 |
619 |
182 |
||||
|
338 |
526 |
244 |
432 |
25 |
46 |
364 |
552 |
145 |
458 |
484 |
72 |
265 |
578 |
166 |
192 |
385 |
98 |
286 |
604 |
505 |
218 |
406 |
124 |
312 |
||||
|
30 |
368 |
556 |
149 |
462 |
488 |
51 |
269 |
582 |
175 |
196 |
389 |
77 |
295 |
608 |
509 |
222 |
415 |
103 |
316 |
342 |
535 |
248 |
436 |
4 |
||||
|
492 |
60 |
273 |
586 |
154 |
180 |
393 |
81 |
299 |
612 |
513 |
201 |
419 |
107 |
325 |
346 |
539 |
227 |
445 |
8 |
34 |
372 |
565 |
128 |
466 |
||||
|
184 |
397 |
90 |
278 |
616 |
517 |
210 |
423 |
111 |
304 |
330 |
543 |
231 |
449 |
12 |
38 |
351 |
569 |
132 |
475 |
496 |
64 |
252 |
595 |
158 |
||||
|
521 |
214 |
402 |
120 |
308 |
334 |
547 |
240 |
428 |
16 |
42 |
360 |
573 |
136 |
454 |
480 |
68 |
256 |
599 |
162 |
188 |
376 |
94 |
282 |
625 |
