With the alternative method of Strachey we make 4 as proportional as possible 13x13 magic squares to construct the 26x26 magic square, and than we swap numbers to get the magic square valid.
To construct the 4 magic 13x13 squares, take the numbers 0 up to 12 as row coordinates and take the numbers 0 up to (13 x 4 -/- 1 = ) 51 as column coordinates.
Use the following table to get the column coordinates.
0 | 0 | 0 | 0 | 0 | 3 | 3 | 3 | 3 | 3 | 0 | 2 | 3 | 20 | |
3 | 3 | 3 | 3 | 3 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 1 | 19 | |
1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 3 | 0 | 19 | |
2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 2 | 20 |
0 | 4 | 8 | 12 | 16 | 23 | 27 | 31 | 35 | 39 | 40 | 46 | 51 | 332 | |
3 | 7 | 11 | 15 | 19 | 20 | 24 | 28 | 32 | 36 | 43 | 44 | 49 | 331 | |
1 | 5 | 9 | 13 | 17 | 22 | 26 | 30 | 34 | 38 | 41 | 47 | 48 | 331 | |
2 | 6 | 10 | 14 | 18 | 21 | 25 | 29 | 33 | 37 | 42 | 45 | 50 | 332 |
Construct the 13x13 (pan)magic squares
13x column coordinate
0 | 4 | 8 | 12 | 16 | 23 | 27 | 31 | 35 | 39 | 40 | 46 | 51 |
8 | 12 | 16 | 23 | 27 | 31 | 35 | 39 | 40 | 46 | 51 | 0 | 4 |
16 | 23 | 27 | 31 | 35 | 39 | 40 | 46 | 51 | 0 | 4 | 8 | 12 |
27 | 31 | 35 | 39 | 40 | 46 | 51 | 0 | 4 | 8 | 12 | 16 | 23 |
35 | 39 | 40 | 46 | 51 | 0 | 4 | 8 | 12 | 16 | 23 | 27 | 31 |
40 | 46 | 51 | 0 | 4 | 8 | 12 | 16 | 23 | 27 | 31 | 35 | 39 |
51 | 0 | 4 | 8 | 12 | 16 | 23 | 27 | 31 | 35 | 39 | 40 | 46 |
4 | 8 | 12 | 16 | 23 | 27 | 31 | 35 | 39 | 40 | 46 | 51 | 0 |
12 | 16 | 23 | 27 | 31 | 35 | 39 | 40 | 46 | 51 | 0 | 4 | 8 |
23 | 27 | 31 | 35 | 39 | 40 | 46 | 51 | 0 | 4 | 8 | 12 | 16 |
31 | 35 | 39 | 40 | 46 | 51 | 0 | 4 | 8 | 12 | 16 | 23 | 27 |
39 | 40 | 46 | 51 | 0 | 4 | 8 | 12 | 16 | 23 | 27 | 31 | 35 |
46 | 51 | 0 | 4 | 8 | 12 | 16 | 23 | 27 | 31 | 35 | 39 | 40 |
3 | 7 | 11 | 15 | 19 | 20 | 24 | 28 | 32 | 36 | 43 | 44 | 49 |
11 | 15 | 19 | 20 | 24 | 28 | 32 | 36 | 43 | 44 | 49 | 3 | 7 |
19 | 20 | 24 | 28 | 32 | 36 | 43 | 44 | 49 | 3 | 7 | 11 | 15 |
24 | 28 | 32 | 36 | 43 | 44 | 49 | 3 | 7 | 11 | 15 | 19 | 20 |
32 | 36 | 43 | 44 | 49 | 3 | 7 | 11 | 15 | 19 | 20 | 24 | 28 |
43 | 44 | 49 | 3 | 7 | 11 | 15 | 19 | 20 | 24 | 28 | 32 | 36 |
49 | 3 | 7 | 11 | 15 | 19 | 20 | 24 | 28 | 32 | 36 | 43 | 44 |
7 | 11 | 15 | 19 | 20 | 24 | 28 | 32 | 36 | 43 | 44 | 49 | 3 |
15 | 19 | 20 | 24 | 28 | 32 | 36 | 43 | 44 | 49 | 3 | 7 | 11 |
20 | 24 | 28 | 32 | 36 | 43 | 44 | 49 | 3 | 7 | 11 | 15 | 19 |
28 | 32 | 36 | 43 | 44 | 49 | 3 | 7 | 11 | 15 | 19 | 20 | 24 |
36 | 43 | 44 | 49 | 3 | 7 | 11 | 15 | 19 | 20 | 24 | 28 | 32 |
44 | 49 | 3 | 7 | 11 | 15 | 19 | 20 | 24 | 28 | 32 | 36 | 43 |
1 | 5 | 9 | 13 | 17 | 22 | 26 | 30 | 34 | 38 | 41 | 47 | 48 |
9 | 13 | 17 | 22 | 26 | 30 | 34 | 38 | 41 | 47 | 48 | 1 | 5 |
17 | 22 | 26 | 30 | 34 | 38 | 41 | 47 | 48 | 1 | 5 | 9 | 13 |
26 | 30 | 34 | 38 | 41 | 47 | 48 | 1 | 5 | 9 | 13 | 17 | 22 |
34 | 38 | 41 | 47 | 48 | 1 | 5 | 9 | 13 | 17 | 22 | 26 | 30 |
41 | 47 | 48 | 1 | 5 | 9 | 13 | 17 | 22 | 26 | 30 | 34 | 38 |
48 | 1 | 5 | 9 | 13 | 17 | 22 | 26 | 30 | 34 | 38 | 41 | 47 |
5 | 9 | 13 | 17 | 22 | 26 | 30 | 34 | 38 | 41 | 47 | 48 | 1 |
13 | 17 | 22 | 26 | 30 | 34 | 38 | 41 | 47 | 48 | 1 | 5 | 9 |
22 | 26 | 30 | 34 | 38 | 41 | 47 | 48 | 1 | 5 | 9 | 13 | 17 |
30 | 34 | 38 | 41 | 47 | 48 | 1 | 5 | 9 | 13 | 17 | 22 | 26 |
38 | 41 | 47 | 48 | 1 | 5 | 9 | 13 | 17 | 22 | 26 | 30 | 34 |
47 | 48 | 1 | 5 | 9 | 13 | 17 | 22 | 26 | 30 | 34 | 38 | 41 |
2 | 6 | 10 | 14 | 18 | 21 | 25 | 29 | 33 | 37 | 42 | 45 | 50 |
10 | 14 | 18 | 21 | 25 | 29 | 33 | 37 | 42 | 45 | 50 | 2 | 6 |
18 | 21 | 25 | 29 | 33 | 37 | 42 | 45 | 50 | 2 | 6 | 10 | 14 |
25 | 29 | 33 | 37 | 42 | 45 | 50 | 2 | 6 | 10 | 14 | 18 | 21 |
33 | 37 | 42 | 45 | 50 | 2 | 6 | 10 | 14 | 18 | 21 | 25 | 29 |
42 | 45 | 50 | 2 | 6 | 10 | 14 | 18 | 21 | 25 | 29 | 33 | 37 |
50 | 2 | 6 | 10 | 14 | 18 | 21 | 25 | 29 | 33 | 37 | 42 | 45 |
6 | 10 | 14 | 18 | 21 | 25 | 29 | 33 | 37 | 42 | 45 | 50 | 2 |
14 | 18 | 21 | 25 | 29 | 33 | 37 | 42 | 45 | 50 | 2 | 6 | 10 |
21 | 25 | 29 | 33 | 37 | 42 | 45 | 50 | 2 | 6 | 10 | 14 | 18 |
29 | 33 | 37 | 42 | 45 | 50 | 2 | 6 | 10 | 14 | 18 | 21 | 25 |
37 | 42 | 45 | 50 | 2 | 6 | 10 | 14 | 18 | 21 | 25 | 29 | 33 |
45 | 50 | 2 | 6 | 10 | 14 | 18 | 21 | 25 | 29 | 33 | 37 | 42 |
+ row coordinate +1
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 |
3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 |
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 |
12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 |
4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 |
2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 |
= 13x13 (pan)magic square
4407 | 4407 | 4407 | 4407 | 4407 | 4407 | 4407 | 4407 | 4407 | 4407 | 4407 | 4407 | 4407 | |||
4407 | 4407 | ||||||||||||||
4407 | 1 | 54 | 107 | 160 | 213 | 305 | 358 | 411 | 464 | 517 | 531 | 610 | 676 | ||
4407 | 116 | 169 | 209 | 301 | 354 | 407 | 460 | 513 | 527 | 606 | 672 | 10 | 63 | ||
4407 | 218 | 310 | 363 | 416 | 456 | 509 | 523 | 602 | 668 | 6 | 59 | 112 | 165 | ||
4407 | 359 | 412 | 465 | 518 | 532 | 611 | 664 | 2 | 55 | 108 | 161 | 214 | 306 | ||
4407 | 461 | 514 | 528 | 607 | 673 | 11 | 64 | 117 | 157 | 210 | 302 | 355 | 408 | ||
4407 | 524 | 603 | 669 | 7 | 60 | 113 | 166 | 219 | 311 | 364 | 404 | 457 | 510 | ||
4407 | 665 | 3 | 56 | 109 | 162 | 215 | 307 | 360 | 413 | 466 | 519 | 533 | 599 | ||
4407 | 65 | 105 | 158 | 211 | 303 | 356 | 409 | 462 | 515 | 529 | 608 | 674 | 12 | ||
4407 | 167 | 220 | 312 | 352 | 405 | 458 | 511 | 525 | 604 | 670 | 8 | 61 | 114 | ||
4407 | 308 | 361 | 414 | 467 | 520 | 521 | 600 | 666 | 4 | 57 | 110 | 163 | 216 | ||
4407 | 410 | 463 | 516 | 530 | 609 | 675 | 13 | 53 | 106 | 159 | 212 | 304 | 357 | ||
4407 | 512 | 526 | 605 | 671 | 9 | 62 | 115 | 168 | 221 | 300 | 353 | 406 | 459 | ||
4407 | 601 | 667 | 5 | 58 | 111 | 164 | 217 | 309 | 362 | 415 | 468 | 508 | 522 | ||
4394 | 4394 | 4394 | 4394 | 4394 | 4394 | 4394 | 4394 | 4394 | 4394 | 4394 | 4394 | 4394 | |||
4394 | 4394 | ||||||||||||||
4394 | 40 | 93 | 146 | 199 | 252 | 266 | 319 | 372 | 425 | 478 | 570 | 584 | 650 | ||
4394 | 155 | 208 | 248 | 262 | 315 | 368 | 421 | 474 | 566 | 580 | 646 | 49 | 102 | ||
4394 | 257 | 271 | 324 | 377 | 417 | 470 | 562 | 576 | 642 | 45 | 98 | 151 | 204 | ||
4394 | 320 | 373 | 426 | 479 | 571 | 585 | 638 | 41 | 94 | 147 | 200 | 253 | 267 | ||
4394 | 422 | 475 | 567 | 581 | 647 | 50 | 103 | 156 | 196 | 249 | 263 | 316 | 369 | ||
4394 | 563 | 577 | 643 | 46 | 99 | 152 | 205 | 258 | 272 | 325 | 365 | 418 | 471 | ||
4394 | 639 | 42 | 95 | 148 | 201 | 254 | 268 | 321 | 374 | 427 | 480 | 572 | 573 | ||
4394 | 104 | 144 | 197 | 250 | 264 | 317 | 370 | 423 | 476 | 568 | 582 | 648 | 51 | ||
4394 | 206 | 259 | 273 | 313 | 366 | 419 | 472 | 564 | 578 | 644 | 47 | 100 | 153 | ||
4394 | 269 | 322 | 375 | 428 | 481 | 560 | 574 | 640 | 43 | 96 | 149 | 202 | 255 | ||
4394 | 371 | 424 | 477 | 569 | 583 | 649 | 52 | 92 | 145 | 198 | 251 | 265 | 318 | ||
4394 | 473 | 565 | 579 | 645 | 48 | 101 | 154 | 207 | 260 | 261 | 314 | 367 | 420 | ||
4394 | 575 | 641 | 44 | 97 | 150 | 203 | 256 | 270 | 323 | 376 | 429 | 469 | 561 | ||
4394 | 4394 | 4394 | 4394 | 4394 | 4394 | 4394 | 4394 | 4394 | 4394 | 4394 | 4394 | 4394 | |||
4394 | 4394 | ||||||||||||||
4394 | 14 | 67 | 120 | 173 | 226 | 292 | 345 | 398 | 451 | 504 | 544 | 623 | 637 | ||
4394 | 129 | 182 | 222 | 288 | 341 | 394 | 447 | 500 | 540 | 619 | 633 | 23 | 76 | ||
4394 | 231 | 297 | 350 | 403 | 443 | 496 | 536 | 615 | 629 | 19 | 72 | 125 | 178 | ||
4394 | 346 | 399 | 452 | 505 | 545 | 624 | 625 | 15 | 68 | 121 | 174 | 227 | 293 | ||
4394 | 448 | 501 | 541 | 620 | 634 | 24 | 77 | 130 | 170 | 223 | 289 | 342 | 395 | ||
4394 | 537 | 616 | 630 | 20 | 73 | 126 | 179 | 232 | 298 | 351 | 391 | 444 | 497 | ||
4394 | 626 | 16 | 69 | 122 | 175 | 228 | 294 | 347 | 400 | 453 | 506 | 546 | 612 | ||
4394 | 78 | 118 | 171 | 224 | 290 | 343 | 396 | 449 | 502 | 542 | 621 | 635 | 25 | ||
4394 | 180 | 233 | 299 | 339 | 392 | 445 | 498 | 538 | 617 | 631 | 21 | 74 | 127 | ||
4394 | 295 | 348 | 401 | 454 | 507 | 534 | 613 | 627 | 17 | 70 | 123 | 176 | 229 | ||
4394 | 397 | 450 | 503 | 543 | 622 | 636 | 26 | 66 | 119 | 172 | 225 | 291 | 344 | ||
4394 | 499 | 539 | 618 | 632 | 22 | 75 | 128 | 181 | 234 | 287 | 340 | 393 | 446 | ||
4394 | 614 | 628 | 18 | 71 | 124 | 177 | 230 | 296 | 349 | 402 | 455 | 495 | 535 | ||
4407 | 4407 | 4407 | 4407 | 4407 | 4407 | 4407 | 4407 | 4407 | 4407 | 4407 | 4407 | 4407 | |||
4407 | 4407 | ||||||||||||||
4407 | 27 | 80 | 133 | 186 | 239 | 279 | 332 | 385 | 438 | 491 | 557 | 597 | 663 | ||
4407 | 142 | 195 | 235 | 275 | 328 | 381 | 434 | 487 | 553 | 593 | 659 | 36 | 89 | ||
4407 | 244 | 284 | 337 | 390 | 430 | 483 | 549 | 589 | 655 | 32 | 85 | 138 | 191 | ||
4407 | 333 | 386 | 439 | 492 | 558 | 598 | 651 | 28 | 81 | 134 | 187 | 240 | 280 | ||
4407 | 435 | 488 | 554 | 594 | 660 | 37 | 90 | 143 | 183 | 236 | 276 | 329 | 382 | ||
4407 | 550 | 590 | 656 | 33 | 86 | 139 | 192 | 245 | 285 | 338 | 378 | 431 | 484 | ||
4407 | 652 | 29 | 82 | 135 | 188 | 241 | 281 | 334 | 387 | 440 | 493 | 559 | 586 | ||
4407 | 91 | 131 | 184 | 237 | 277 | 330 | 383 | 436 | 489 | 555 | 595 | 661 | 38 | ||
4407 | 193 | 246 | 286 | 326 | 379 | 432 | 485 | 551 | 591 | 657 | 34 | 87 | 140 | ||
4407 | 282 | 335 | 388 | 441 | 494 | 547 | 587 | 653 | 30 | 83 | 136 | 189 | 242 | ||
4407 | 384 | 437 | 490 | 556 | 596 | 662 | 39 | 79 | 132 | 185 | 238 | 278 | 331 | ||
4407 | 486 | 552 | 592 | 658 | 35 | 88 | 141 | 194 | 247 | 274 | 327 | 380 | 433 | ||
4407 | 588 | 654 | 31 | 84 | 137 | 190 | 243 | 283 | 336 | 389 | 442 | 482 | 548 |
Put the 4 (pan)magic 13x13 squares together.
26x26 (semi-)magic square, to be corrected
8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | 8801 | |||
8814 | 8788 | |||||||||||||||||||||||||||
8801 | 1 | 54 | 107 | 160 | 213 | 305 | 358 | 411 | 464 | 517 | 531 | 610 | 676 | 40 | 93 | 146 | 199 | 252 | 266 | 319 | 372 | 425 | 478 | 570 | 584 | 650 | ||
8801 | 116 | 169 | 209 | 301 | 354 | 407 | 460 | 513 | 527 | 606 | 672 | 10 | 63 | 155 | 208 | 248 | 262 | 315 | 368 | 421 | 474 | 566 | 580 | 646 | 49 | 102 | ||
8801 | 218 | 310 | 363 | 416 | 456 | 509 | 523 | 602 | 668 | 6 | 59 | 112 | 165 | 257 | 271 | 324 | 377 | 417 | 470 | 562 | 576 | 642 | 45 | 98 | 151 | 204 | ||
8801 | 359 | 412 | 465 | 518 | 532 | 611 | 664 | 2 | 55 | 108 | 161 | 214 | 306 | 320 | 373 | 426 | 479 | 571 | 585 | 638 | 41 | 94 | 147 | 200 | 253 | 267 | ||
8801 | 461 | 514 | 528 | 607 | 673 | 11 | 64 | 117 | 157 | 210 | 302 | 355 | 408 | 422 | 475 | 567 | 581 | 647 | 50 | 103 | 156 | 196 | 249 | 263 | 316 | 369 | ||
8801 | 524 | 603 | 669 | 7 | 60 | 113 | 166 | 219 | 311 | 364 | 404 | 457 | 510 | 563 | 577 | 643 | 46 | 99 | 152 | 205 | 258 | 272 | 325 | 365 | 418 | 471 | ||
8801 | 665 | 3 | 56 | 109 | 162 | 215 | 307 | 360 | 413 | 466 | 519 | 533 | 599 | 639 | 42 | 95 | 148 | 201 | 254 | 268 | 321 | 374 | 427 | 480 | 572 | 573 | ||
8801 | 65 | 105 | 158 | 211 | 303 | 356 | 409 | 462 | 515 | 529 | 608 | 674 | 12 | 104 | 144 | 197 | 250 | 264 | 317 | 370 | 423 | 476 | 568 | 582 | 648 | 51 | ||
8801 | 167 | 220 | 312 | 352 | 405 | 458 | 511 | 525 | 604 | 670 | 8 | 61 | 114 | 206 | 259 | 273 | 313 | 366 | 419 | 472 | 564 | 578 | 644 | 47 | 100 | 153 | ||
8801 | 308 | 361 | 414 | 467 | 520 | 521 | 600 | 666 | 4 | 57 | 110 | 163 | 216 | 269 | 322 | 375 | 428 | 481 | 560 | 574 |