Ultra 25x25 in 27x27 magic square (2)
Construct a row grid and a column grid. Use the middle digits from 1 t/m 25 to produce the 25x25 inlay. Puzzle the border.
1x number from row grid +1
| 13 | 14 | 12 | 15 | 11 | 16 | 10 | 17 | 9 | 18 | 8 | 19 | 7 | 20 | 6 | 21 | 5 | 22 | 4 | 23 | 3 | 24 | 2 | 25 | 1 | 26 | 0 |
| 0 | 22 | 18 | 9 | 1 | 15 | 15 | 22 | 18 | 9 | 1 | 1 | 15 | 22 | 18 | 9 | 9 | 1 | 15 | 22 | 18 | 18 | 9 | 1 | 15 | 22 | 26 |
| 0 | 6 | 5 | 12 | 23 | 19 | 19 | 6 | 5 | 12 | 23 | 23 | 19 | 6 | 5 | 12 | 12 | 23 | 19 | 6 | 5 | 5 | 12 | 23 | 19 | 6 | 26 |
| 0 | 13 | 24 | 16 | 10 | 2 | 2 | 13 | 24 | 16 | 10 | 10 | 2 | 13 | 24 | 16 | 16 | 10 | 2 | 13 | 24 | 24 | 16 | 10 | 2 | 13 | 26 |
| 26 | 20 | 7 | 3 | 14 | 21 | 21 | 20 | 7 | 3 | 14 | 14 | 21 | 20 | 7 | 3 | 3 | 14 | 21 | 20 | 7 | 7 | 3 | 14 | 21 | 20 | 0 |
| 26 | 4 | 11 | 25 | 17 | 8 | 8 | 4 | 11 | 25 | 17 | 17 | 8 | 4 | 11 | 25 | 25 | 17 | 8 | 4 | 11 | 11 | 25 | 17 | 8 | 4 | 0 |
| 0 | 22 | 18 | 9 | 1 | 15 | 15 | 22 | 18 | 9 | 1 | 1 | 15 | 22 | 18 | 9 | 9 | 1 | 15 | 22 | 18 | 18 | 9 | 1 | 15 | 22 | 26 |
| 0 | 6 | 5 | 12 | 23 | 19 | 19 | 6 | 5 | 12 | 23 | 23 | 19 | 6 | 5 | 12 | 12 | 23 | 19 | 6 | 5 | 5 | 12 | 23 | 19 | 6 | 26 |
| 26 | 13 | 24 | 16 | 10 | 2 | 2 | 13 | 24 | 16 | 10 | 10 | 2 | 13 | 24 | 16 | 16 | 10 | 2 | 13 | 24 | 24 | 16 | 10 | 2 | 13 | 0 |
| 26 | 20 | 7 | 3 | 14 | 21 | 21 | 20 | 7 | 3 | 14 | 14 | 21 | 20 | 7 | 3 | 3 | 14 | 21 | 20 | 7 | 7 | 3 | 14 | 21 | 20 | 0 |
| 0 | 4 | 11 | 25 | 17 | 8 | 8 | 4 | 11 | 25 | 17 | 17 | 8 | 4 | 11 | 25 | 25 | 17 | 8 | 4 | 11 | 11 | 25 | 17 | 8 | 4 | 26 |
| 0 | 22 | 18 | 9 | 1 | 15 | 15 | 22 | 18 | 9 | 1 | 1 | 15 | 22 | 18 | 9 | 9 | 1 | 15 | 22 | 18 | 18 | 9 | 1 | 15 | 22 | 26 |
| 26 | 6 | 5 | 12 | 23 | 19 | 19 | 6 | 5 | 12 | 23 | 23 | 19 | 6 | 5 | 12 | 12 | 23 | 19 | 6 | 5 | 5 | 12 | 23 | 19 | 6 | 0 |
| 26 | 13 | 24 | 16 | 10 | 2 | 2 | 13 | 24 | 16 | 10 | 10 | 2 | 13 | 24 | 16 | 16 | 10 | 2 | 13 | 24 | 24 | 16 | 10 | 2 | 13 | 0 |
| 0 | 20 | 7 | 3 | 14 | 21 | 21 | 20 | 7 | 3 | 14 | 14 | 21 | 20 | 7 | 3 | 3 | 14 | 21 | 20 | 7 | 7 | 3 | 14 | 21 | 20 | 26 |
| 0 | 4 | 11 | 25 | 17 | 8 | 8 | 4 | 11 | 25 | 17 | 17 | 8 | 4 | 11 | 25 | 25 | 17 | 8 | 4 | 11 | 11 | 25 | 17 | 8 | 4 | 26 |
| 26 | 22 | 18 | 9 | 1 | 15 | 15 | 22 | 18 | 9 | 1 | 1 | 15 | 22 | 18 | 9 | 9 | 1 | 15 | 22 | 18 | 18 | 9 | 1 | 15 | 22 | 0 |
| 26 | 6 | 5 | 12 | 23 | 19 | 19 | 6 | 5 | 12 | 23 | 23 | 19 | 6 | 5 | 12 | 12 | 23 | 19 | 6 | 5 | 5 | 12 | 23 | 19 | 6 | 0 |
| 0 | 13 | 24 | 16 | 10 | 2 | 2 | 13 | 24 | 16 | 10 | 10 | 2 | 13 | 24 | 16 | 16 | 10 | 2 | 13 | 24 | 24 | 16 | 10 | 2 | 13 | 26 |
| 0 | 20 | 7 | 3 | 14 | 21 | 21 | 20 | 7 | 3 | 14 | 14 | 21 | 20 | 7 | 3 | 3 | 14 | 21 | 20 | 7 | 7 | 3 | 14 | 21 | 20 | 26 |
| 26 | 4 | 11 | 25 | 17 | 8 | 8 | 4 | 11 | 25 | 17 | 17 | 8 | 4 | 11 | 25 | 25 | 17 | 8 | 4 | 11 | 11 | 25 | 17 | 8 | 4 | 0 |
| 26 | 22 | 18 | 9 | 1 | 15 | 15 | 22 | 18 | 9 | 1 | 1 | 15 | 22 | 18 | 9 | 9 | 1 | 15 | 22 | 18 | 18 | 9 | 1 | 15 | 22 | 0 |
| 0 | 6 | 5 | 12 | 23 | 19 | 19 | 6 | 5 | 12 | 23 | 23 | 19 | 6 | 5 | 12 | 12 | 23 | 19 | 6 | 5 | 5 | 12 | 23 | 19 | 6 | 26 |
| 0 | 13 | 24 | 16 | 10 | 2 | 2 | 13 | 24 | 16 | 10 | 10 | 2 | 13 | 24 | 16 | 16 | 10 | 2 | 13 | 24 | 24 | 16 | 10 | 2 | 13 | 26 |
| 26 | 20 | 7 | 3 | 14 | 21 | 21 | 20 | 7 | 3 | 14 | 14 | 21 | 20 | 7 | 3 | 3 | 14 | 21 | 20 | 7 | 7 | 3 | 14 | 21 | 20 | 0 |
| 26 | 4 | 11 | 25 | 17 | 8 | 8 | 4 | 11 | 25 | 17 | 17 | 8 | 4 | 11 | 25 | 25 | 17 | 8 | 4 | 11 | 11 | 25 | 17 | 8 | 4 | 0 |
| 26 | 12 | 14 | 11 | 15 | 10 | 16 | 9 | 17 | 8 | 18 | 7 | 19 | 6 | 20 | 5 | 21 | 4 | 22 | 3 | 23 | 2 | 24 | 1 | 25 | 0 | 13 |
+27x number from column grid
| 0 | 0 | 0 | 26 | 26 | 0 | 0 | 26 | 26 | 0 | 0 | 26 | 26 | 0 | 0 | 26 | 26 | 0 | 0 | 26 | 26 | 0 | 0 | 26 | 26 | 26 | 13 |
| 26 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 0 |
| 1 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 25 |
| 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 1 |
| 2 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 24 |
| 24 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 2 |
| 3 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 |
| 23 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 3 |
| 4 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 22 |
| 22 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 4 |
| 5 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 21 |
| 21 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 5 |
| 6 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 20 |
| 20 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 6 |
| 7 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 19 |
| 19 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 7 |
| 8 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 18 |
| 18 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 8 |
| 9 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 17 |
| 17 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 9 |
| 10 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 16 |
| 16 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 14 | 21 | 20 | 7 | 3 | 10 |
| 11 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 17 | 8 | 4 | 11 | 25 | 15 |
| 15 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 1 | 15 | 22 | 18 | 9 | 11 |
| 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 23 | 19 | 6 | 5 | 12 | 14 |
| 14 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 10 | 2 | 13 | 24 | 16 | 12 |
| 13 | 26 | 26 | 0 | 0 | 26 | 26 | 0 | 0 | 26 | 26 | 0 | 0 | 26 | 26 | 0 | 0 | 26 | 26 | 0 | 0 | 26 | 26 | 0 | 0 | 0 | 26 |
= ultra magic 25x25 in 27x27 magic square
| 14 | 15 | 13 | 718 | 714 | 17 | 11 | 720 | 712 | 19 | 9 | 722 | 710 | 21 | 7 | 724 | 708 | 23 | 5 | 726 | 706 | 25 | 3 | 728 | 704 | 729 | 352 |
| 703 | 293 | 73 | 361 | 650 | 448 | 286 | 77 | 370 | 658 | 434 | 272 | 70 | 374 | 667 | 442 | 280 | 56 | 367 | 671 | 451 | 289 | 64 | 353 | 664 | 455 | 27 |
| 28 | 385 | 573 | 553 | 213 | 101 | 398 | 574 | 546 | 202 | 105 | 402 | 587 | 547 | 195 | 94 | 391 | 591 | 560 | 196 | 87 | 384 | 580 | 564 | 209 | 88 | 702 |
| 676 | 473 | 241 | 125 | 308 | 678 | 462 | 230 | 133 | 314 | 686 | 470 | 219 | 122 | 322 | 692 | 476 | 227 | 111 | 311 | 700 | 484 | 233 | 119 | 300 | 689 | 54 |
| 81 | 48 | 413 | 598 | 501 | 265 | 49 | 426 | 602 | 490 | 258 | 42 | 427 | 615 | 494 | 247 | 31 | 420 | 616 | 507 | 251 | 35 | 409 | 609 | 508 | 264 | 649 |
| 675 | 626 | 525 | 188 | 153 | 333 | 630 | 518 | 174 | 161 | 342 | 639 | 522 | 167 | 147 | 350 | 647 | 531 | 171 | 140 | 336 | 633 | 539 | 180 | 144 | 329 | 55 |
| 82 | 644 | 532 | 172 | 137 | 340 | 637 | 536 | 181 | 145 | 326 | 623 | 529 | 185 | 154 | 334 | 631 | 515 | 178 | 158 | 343 | 640 | 523 | 164 | 151 | 347 | 648 |
| 622 | 277 | 60 | 364 | 672 | 452 | 290 | 61 | 357 | 661 | 456 | 294 | 74 | 358 | 654 | 445 | 283 | 78 | 371 | 655 | 438 | 276 | 67 | 375 | 668 | 439 | 108 |
| 135 | 392 | 592 | 557 | 200 | 84 | 381 | 581 | 565 | 206 | 92 | 389 | 570 | 554 | 214 | 98 | 395 | 578 | 543 | 203 | 106 | 403 | 584 | 551 | 192 | 95 | 595 |
| 621 | 480 | 224 | 112 | 312 | 697 | 481 | 237 | 116 | 301 | 690 | 474 | 238 | 129 | 305 | 679 | 463 | 231 | 130 | 318 | 683 | 467 | 220 | 123 | 319 | 696 | 109 |
| 136 | 32 | 417 | 620 | 504 | 252 | 36 | 410 | 606 | 512 | 261 | 45 | 414 | 599 | 498 | 269 | 53 | 423 | 603 | 491 | 255 | 39 | 431 | 612 | 495 | 248 | 594 |
| 568 | 50 | 424 | 604 | 488 | 259 | 43 | 428 | 613 | 496 | 245 | 29 | 421 | 617 | 505 | 253 | 37 | 407 | 610 | 509 | 262 | 46 | 415 | 596 | 502 | 266 | 162 |
| 189 | 628 | 519 | 175 | 159 | 344 | 641 | 520 | 168 | 148 | 348 | 645 | 533 | 169 | 141 | 337 | 634 | 537 | 182 | 142 | 330 | 627 | 526 | 186 | 155 | 331 | 541 |
| 567 | 284 | 79 | 368 | 659 | 435 | 273 | 68 | 376 | 665 | 443 | 281 | 57 | 365 | 673 | 449 | 287 | 65 | 354 | 662 | 457 | 295 | 71 | 362 | 651 | 446 | 163 |
| 190 | 399 | 575 | 544 | 204 | 103 | 400 | 588 | 548 | 193 | 96 | 393 | 589 | 561 | 197 | 85 | 382 | 582 | 562 | 210 | 89 | 386 | 571 | 555 | 211 | 102 | 540 |
| 514 | 464 | 228 | 134 | 315 | 684 | 468 | 221 | 120 | 323 | 693 | 477 | 225 | 113 | 309 | 701 | 485 | 234 | 117 | 302 | 687 | 471 | 242 | 126 | 306 | 680 | 216 |
| 243 | 482 | 235 | 118 | 299 | 691 | 475 | 239 | 127 | 307 | 677 | 461 | 232 | 131 | 316 | 685 | 469 | 218 | 124 | 320 | 694 | 478 | 226 | 110 | 313 | 698 | 487 |
| 513 | 34 | 411 | 607 | 510 | 263 | 47 | 412 | 600 | 499 | 267 | 51 | 425 | 601 | 492 | 256 | 40 | 429 | 614 | 493 | 249 | 33 | 418 | 618 | 506 | 250 | 217 |
| 244 | 635 | 538 | 179 | 146 | 327 | 624 | 527 | 187 | 152 | 335 | 632 | 516 | 176 | 160 | 341 | 638 | 524 | 165 | 149 | 349 | 646 | 530 | 173 | 138 | 338 | 486 |
| 460 | 291 | 62 | 355 | 663 | 454 | 292 | 75 | 359 | 652 | 447 | 285 | 76 | 372 | 656 | 436 | 274 | 69 | 373 | 669 | 440 | 278 | 58 | 366 | 670 | 453 | 270 |
| 297 | 383 | 579 | 566 | 207 | 90 | 387 | 572 | 552 | 215 | 99 | 396 | 576 | 545 | 201 | 107 | 404 | 585 | 549 | 194 | 93 | 390 | 593 | 558 | 198 | 86 | 433 |
| 459 | 401 | 586 | 550 | 191 | 97 | 394 | 590 | 559 | 199 | 83 | 380 | 583 | 563 | 208 | 91 | 388 | 569 | 556 | 212 | 100 | 397 | 577 | 542 | 205 | 104 | 271 |
| 298 | 466 | 222 | 121 | 321 | 695 | 479 | 223 | 114 | 310 | 699 | 483 | 236 | 115 | 303 | 688 | 472 | 240 | 128 | 304 | 681 | 465 | 229 | 132 | 317 | 682 | 432 |
| 406 | 41 | 430 | 611 | 497 | 246 | 30 | 419 | 619 | 503 | 254 | 38 | 408 | 608 | 511 | 260 | 44 | 416 | 597 | 500 | 268 | 52 | 422 | 605 | 489 | 257 | 324 |
| 351 | 642 | 521 | 166 | 150 | 346 | 643 | 534 | 170 | 139 | 339 | 636 | 535 | 183 | 143 | 328 | 625 | 528 | 184 | 156 | 332 | 629 | 517 | 177 | 157 | 345 | 379 |
| 405 | 275 | 66 | 377 | 666 | 441 | 279 | 59 | 363 | 674 | 450 | 288 | 63 | 356 | 660 | 458 | 296 | 72 | 360 | 653 | 444 | 282 | 80 | 369 | 657 | 437 | 325 |
| 378 | 715 | 717 | 12 | 16 | 713 | 719 | 10 | 18 | 711 | 721 | 8 | 20 | 709 | 723 | 6 | 22 | 707 | 725 | 4 | 24 | 705 | 727 | 2 | 26 | 1 | 716 |
Use this method to construct inlaid squares of odd order from 5x5 to infinity.
See 5x5, 7x7, 9x9, 11x11, 13x13, 15x15, 17x17, 19x19, 21x21, 23x23, 25x25, 27x27, 29x29 & 31x31
