sapevo e sentivo con certezza assoluta che esisteva anche il cubo magico 9x9x9...
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The 9x9x9 Magic Cube of the Tai Hsuan Ching
has central entry 365,
and 365 = 73 x 5 is the whole number of days in a solar year.
The corresponding Maya 365-day period is called the Haab.
The 8x8 Magic Square and 4x4x4 Magic Cube of the I Ching
have sums 260 and 130 = 260/2,
and 260 = 13 x 5 x 4 is the number of days in a Maya Tzolkin.
The common period of the Maya Haab and Tzolkin
is 73 x 5 x 13 x 4 = 18,980 days or 52 Haab.
The synodic period of Venus is 584 = 73 x 8.
The common period of the Maya Haab and
the synodic period of Venus
is 73 x 5 x 8 = 37,960 days or 104 Haab.
The common period of the Maya Haab and Tzolkin and
the synodic period of Venus
is 73 x 5 x 8 = 2,929 days or 8 Haab.
Since the 8x8 = 4x4x4 = 64, and 584 = 2 x 260 + 64.
the synodic period of Venus is naturally expressible in
terms of the 8x8 Magic Square and the 4x4x4 Magic Cube.
Here is the 9x9x9 Magic Cube:
1
543 179 616 252 689 397 33 470 106
107 544 180 617 244 690 398 34 471
472 108 545 172 618 245 691 399 35
36 473 100 546 173 619 246 692 400
401 28 474 101 547 174 620 247 693
685 402 29 475 102 548 175 621 248
249 686 403 30 476 103 549 176 613
614 250 687 404 31 477 104 541 177
178 615 251 688 405 32 469 105 542
2
97 534 170 607 324 680 388 24 461
462 98 535 171 608 316 681 389 25
26 463 99 536 163 609 317 682 390
391 27 464 91 537 164 610 318 683
684 392 19 465 92 538 165 611 319
320 676 393 20 466 93 539 166 612
604 321 677 394 21 467 94 540 167
168 605 322 678 395 22 468 95 532
533 169 606 323 679 396 23 460 96
3
452 88 525 242 598 315 671 379 15
16 453 89 526 243 599 307 672 380
381 17 454 90 527 235 600 308 673
674 382 18 455 82 528 236 601 309
310 675 383 10 456 83 529 237 602
603 311 667 384 11 457 84 530 238
239 595 312 668 385 12 458 85 531
523 240 596 313 669 386 13 459 86
87 524 241 597 314 670 387 14 451
4 Thanks to Jeff Knox for correcting my error in row 1, col 5, where I had written 231 by mistake.
6 443 160 516 233 589 306 662 370
371 7 444 161 517 234 590 298 663
664 372 8 445 162 518 226 591 299
300 665 373 9 446 154 519 227 592
593 301 666 374 1 447 155 520 228
229 594 302 658 375 2 448 156 521
522 230 586 303 659 376 3 449 157
158 514 231 587 304 660 377 4 450
442 159 515 232 588 305 661 378 5
5
361 78 434 151 507 224 580 297 653
654 362 79 435 152 508 225 581 289
290 655 363 80 436 153 509 217 582
583 291 656 364 81 437 145 510 218
219 584 292 657 365 73 438 146 511
512 220 585 293 649 366 74 439 147
148 513 221 577 294 650 367 75 440
441 149 505 222 578 295 651 368 76
77 433 150 506 223 579 296 652 369
6
725 352 69 425 142 498 215 571 288
280 726 353 70 426 143 499 216 572
573 281 727 354 71 427 144 500 208
209 574 282 728 355 72 428 136 501
502 210 575 283 729 356 64 429 137
138 503 211 576 284 721 357 65 430
431 139 504 212 568 285 722 358 66
67 432 140 496 213 569 286 723 359
360 68 424 141 497 214 570 287 724
7
279 716 343 60 416 133 489 206 643
644 271 717 344 61 417 134 490 207
199 645 272 718 345 62 418 135 491
492 200 646 273 719 346 63 419 127
128 493 201 647 274 720 347 55 420
421 129 494 202 648 275 712 348 56
57 422 130 495 203 640 276 713 349
150 58 423 131 487 204 641 277 714
715 351 59 415 132 488 205 642 278
8
634 270 707 334 51 407 124 561 197
198 635 262 708 335 52 408 125 562
563 190 636 263 709 336 53 409 126
118 564 191 637 264 710 337 54 410
411 119 565 192 638 265 711 338 46
47 412 120 566 193 639 266 703 339
340 48 413 121 567 194 631 267 704
705 341 49 414 122 559 195 632 268
269 706 342 50 406 123 560 196 633
9
188 625 261 698 325 42 479 115 552
553 189 626 253 699 326 43 480 116
117 554 181 627 254 700 327 44 481
482 109 555 182 628 255 701 328 45
37 483 110 556 183 629 256 702 329
330 38 484 111 557 184 630 257 694
695 331 39 485 112 558 185 622 258
259 696 332 40 486 113 550 186 623
624 260 697 333 41 478 114 551 187