So… yes. I’m a software developer. This means that I can count to 16 very easily. So easily that I use letters to fill the space until I hit 10 (referring to 16, without abandon or care)
I’ve tired of base 16. I decided to play with something a little more obscure.
I played with base 7.4
Where is in decimal you have : 1000s, 100s, 10s, 1s, .1, .10, .100, etc…
In base 7.4 you have:
7.4^3, 7.4^2, 7.4^1, 7.4^0, 7.4^-1, 7.4^-2, 7.4^-3
So at first all worked out.
10(10) = 12.431644201(7.4)
9(10) = 11.431644201(7.4)
8(10) = 10.431644201(7.4)
Then I made the mistake of solving for
7.4(10) = 10(7.4)
I came up with 7.270551032(7.4)
that’s right. In Base 7.4:
10(7.4) == 7.270551032(7.4)
Oops.
I love moments when you prove different numbers are the same.
I looked at shimmeringjemmy at this point and said, “I think I broke Math”
So… my new form of using rational non-integers as numeration bases shall from this day forward have a name.
I call my system:
“Crystal Math”