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Apocalyptic Magic Square

  1. Jun 6, 2006 #1
    In honor of today's date, June 6, 2006, I've been circulating the Apocalyptic Magic Square around the office (yes, I get some strange looks, but I'm used to that).

    This remarkable object is a 6 by 6 magic square with a total of 666, with every number in it being a prime. This object can easily be found on the internet, but the sites I've seen only present it -- they don't discuss it's mathematical attributes.

    Is this object very special? I know there are algorithms for producing magic squares, but is it possible to use an algorithm to guarantee a magic square using only prime numbers? Is it possible to construct prime based magic squares of arbitrary size and/or sum? Is it possible to show that the Apocalyptic Magic Square is unique in any way? Any information on these questions would be appreciated. Thanks in advance.
     
  2. jcsd
  3. Sep 10, 2008 #2
    Why don't you try this one I created in 2006:
    The Cube of Satariel (by Jason Shiffman):

    This cube was created from 216 singular numbers. Every
    row on every face including corner to corner add up to
    1,998, which is 666 multiplied by 3. Every number added
    with the number in the same spot on the opposite side adds
    up to 666. Example 128+538=666. 310+356=666...etc, etc.



    FRONT:
    128 518 515 167 482 188
    458 251 452 440 215 182
    407 356 290 278 320 347
    275 284 362 350 392 335
    242 467 224 236 431 398
    488 122 155 527 158 548

    LEFT:
    556 403 322 334 187 196
    163 454 364 292 238 487
    502 232 367 295 460 142
    154 244 355 283 448 514
    127 418 328 400 202 523
    496 247 262 394 463 136

    TOP:
    175 490 520 172 526 115
    190 220 427 439 256 466
    352 379 298 286 271 412
    340 307 370 358 343 280
    406 436 223 211 472 250
    535 166 160 532 130 475

    BACK:
    538 148 151 499 184 478
    208 415 214 226 451 484
    259 310 376 388 346 319
    391 382 304 316 274 331
    424 199 442 430 235 268
    178 544 511 139 508 118


    RIGHT:
    110 263 344 332 479 470
    503 212 302 374 428 179
    164 434 299 371 206 524
    512 422 311 383 218 152
    539 248 338 266 464 143
    170 419 404 272 203 530


    BOTTOM:
    491 176 146 494 140 551
    476 446 239 227 410 200
    314 287 368 380 395 254
    326 359 296 308 323 386
    260 230 443 455 194 416
    131 500 506 134 536 191


    In the film Pi, Max becomes obsessed with a 216-digit number
    in his quest to find the numeric equation behind existence,
    and is told by a group of Hasidic Jews that it represents the
    true name of God.
    As six cubed, 216 is also symbolic of the Mark of the Beast in
    Christianity. This has been expressed in the Left Behind series.
    This is interesting as the quotient of 144,000/666 is 216.
    216216216... These two numbers are used extensively throughout
    the book of Revelation in the Holy Bible, where the Mark of the
    Beast is identified.
    The 216th verse of the Apocalypse: (Revelation 13:4)
    " And they worshipped the dragon which gave power unto the beast"
    .. covers the first half of Exodus, including Pharaoh's enslavement
    of the Israelites, the birth of Moses, the deliverance from Egypt,
    the crossing of the Red Sea, and the Revelation at Mount Sinai.
    In exploring the mystical dimension of these dramatic events,
    the Zohar treats the nature of evil and it relation to the divine
    realm, the romance of Moses and Shekhinah, and the inner meaning of
    the Ten Commandments. In the context of the miraculous splitting of
    the Red Sea, Rabbi Shim'on reveals the mysterious Name of 72, a
    complex divine name consisting of 216 letters (72 triads), formed out
    of three verses in Exodus 14.
     
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