this post was submitted on 03 Aug 2023
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Strange Planet by Nathan W. Pyle

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[–] [email protected] 0 points 1 year ago (2 children)

Base 10 is the most easy to scale, you just move the coma and add 0s. Base 12 doesn't allow that easily

[–] [email protected] 10 points 1 year ago* (last edited 1 year ago) (1 children)

A base 12 number system would have two extra symbols. Twelve would be written 10 and be called ten, and the number 144 would be written 100 and be called one hundred.

Everything you may think is inherent to base 10 is largely not. The quirky rules of 9's multiplication table would apply to 11's. Pi and e would still be irrational, and continue being no no matter which base of N you choose. Long division would work the same. Etc.

[–] [email protected] 2 points 1 year ago* (last edited 1 year ago) (1 children)

What if I choose base Pi? Then pi = 1

Checkmate.

Oh nvm, you did say base of N, but that's boring.

[–] [email protected] 4 points 1 year ago (1 children)
[–] [email protected] 0 points 1 year ago

Can't spell radians without rad 😎

[–] [email protected] 6 points 1 year ago (1 children)

You can just assign digits to ten and eleven?

[–] [email protected] 7 points 1 year ago* (last edited 1 year ago)

Yep. In computer science you sometimes need to calculate with hexadecimal numbers where 10-15 are the letters A-F. You just use another factor for scaling "easily".

In hexadecimal 10 is 16 in decimal. So if you do C * 10 it's C0 but that is 192 in decimal (12 * 16, remember the base is 16).

Whats cool though is that (all hexadecimal):

10 / 2 = 8

10 is 2 to the power of 4 which means 10 is divisible by 2 4 times.

Similarly (and arguably even cooler) with a base 12 system 10 is divisible by 2 AND 3!

10 / 3 = 4
10 / 2 = 6