• Rivalarrival@lemmy.today
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    13 days ago

    But we still have a number system where 10 is the sum of 5+5.

    I want a number system where 10 is the sum of 6+6, and 12 is the sum of 7+7. A number system with two more single-digit numbers: one representing the sum of 6 and 4 as a single digit; and another representing the sum of 6 and 5. A system where 10*10 is 100, and 100 is the product of 6 * 2 * 6 * 2. A number system where 10 is evenly divisible by 2, 3, 4, and 6.

    A metric system developed from that number system would be stunningly gorgeous.

    • mitchty@lemmy.sdf.org
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      13 days ago

      I’m curious how you could make that work as it’s a basic contradiction. For 6+6 to equal 10 6 couldn’t equal itself which makes the entire premise invalid.

      If you want more single digit numbers hexadecimal aka base 16 is even better than 12. But I can’t see how 10 can be evenly divided by all of 2,3,4,6 without being a multiple of the set.

      • milicent_bystandr@lemm.ee
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        13 days ago

        I think they just mean base 12. So “10” isn’t ten, it’s 1 * 121 + 0 * 120; xyz is x * 122 + y * 121 + z * 120.

        Like sixteen in hex is 10 (commonly written 0x10, to differentiate it from decimal 10)

        Edit: oof, my client is trying to be clever with the mathematical writing and bungling it, I’ll try to fix… Hmm, hope that makes it better not worse

        • Rivalarrival@lemmy.today
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          13 days ago

          Exactly. I am trying to describe a duodecimal number system without using a decimal number system. “Ten” is a single-digit number. “Eleven” is a single digit number. “10” is pronounced “Twelve”.

      • Rivalarrival@lemmy.today
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        13 days ago

        Of course. But I’m saying it in such a way that doesn’t require the use of numbers in a base that is the product of 2 and 5.

        In any given number system, the base of that number system is 10.