Why always 961,761?

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This topic contains 2 replies, has 1 voice, and was last updated by  Joshua Barretto 3 weeks, 4 days ago.

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  • #21611 Reply

    Conrad

    I’ve noticed that when you do an image search the length of the returned location is almost always 961,761 digits (I’ve seen it be 961,760 a few times).

    I would have thought there’d be more variation in the length of the location purely because of how unlikely it is for the pixels to be arranged in any coherent way.

    I’m wondering if we only focus on searching for locations that are 961,761 digits long we might be ‘slightly’ more likely to find something…

    Of course, I fully appreciate just how absolutely infinitesimal this probability is. But surely it is better to work with a smaller set of near-infite numbers than a larger set of near-infinite numbers.

    How does the image search work?

    #21620 Reply

    Micah

    How would that even be possible if there’s only ~10^961,755 possible images. At least that’s what it says in the About page.

    #22599 Reply

    Joshua Barretto

    Choose a random number between 0 and 1,000,000. Actually, don’t bother: I’ll write some code that does it for us:

    164369 925330 437182 335350 546326 972247 502939 518014 376008 434748 
    145475 842491 136025 518807 451664 665484 434707 864162 488337 584648 
    633870 905897 451464 356288 220419 877818 552315 823613 77616 195298 
    917305 621156 632922 293906 347003 944423 736486 393026 327517 431551 
    134418 282798 449041 977092 5444 313410 674255 669098 665071 268848 
    469528 780592 770083 45162 642655 411775 959769 982839 45674 373007 
    747010 687822 559384 774511 347754 780773 511266 331972 216699 451979 
    514377 632053 32919 692727 48362 355278 512850 905201 882305 444480 
    304075 645126 879426 969640 514710 641256 893843 249794 325560 218243 
    631900 191975 380869 59277 845650 256658 894958 547484 330423 760530

    This is 100 random digits between 0 and 1 million. Notice how they almost all have 6 digits?

    Now imagine bigger numbers. The Library of Babel is immense. Ridiculously immense. Particularly when it comes to images. But the rule doesn’t change: there’s still a very high chance that the number of digits of any given image will be about the same as the number of digits of the largest possible location address.

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