• janAkali@lemmy.one
    link
    fedilink
    English
    arrow-up
    73
    ·
    8 months ago

    Who said Pi is infinite? If we take Pi as base unit, it is exactly 1. No fraction, perfectly round.

    Now everything else requires an infinite precision.

      • otp@sh.itjust.works
        cake
        link
        fedilink
        English
        arrow-up
        3
        ·
        8 months ago

        I’m pretty sure a base-Pi counting system would mean that Pi is π, not 1.

        You’d count π, 2π, 3π, 4π, and so on. It doesn’t change reality, just the way you count and represent numbers.

        I might be off, but it’s definitely not π = 1.

      • janAkali@lemmy.one
        link
        fedilink
        English
        arrow-up
        1
        ·
        edit-2
        8 months ago

        You still think in 1-based system, Pi unit * Pi unit is Pi of Pi units or 3.14159… Pi units. Also, Pi unit / Pi unit is 1/Pi Pi units or 0.318309886183790… Pi units…

      • nul9o9@lemmy.world
        link
        fedilink
        English
        arrow-up
        8
        ·
        8 months ago

        6π is an acceptable answer for finding the circumference of a circle with a radius of 3 units of something.

      • janAkali@lemmy.one
        link
        fedilink
        English
        arrow-up
        7
        ·
        8 months ago

        1 is also a number, a number we chose by convention to be a base unit for all numbers. You can break down every number down to this unit.

        20 is 20 1s. 1.5 is 1 and a half 1.

        If we have Pi as a unit, circumference of a circle would be radius*2 of Pi units. But everything that doesn’t involve Pi would be a fraction of Pi, e.g. a normal 1 is roughly 1/3 of Pi units, 314 is roughly 100 Pi units, etc. etc.