[D66] Duodecimal python library [new]

[René Oudeweg]

> === Duodecimal Arithmetic Demonstration ===
> 
> 1) Division by 3 (exact in base-12):
>    1 / 3 = 0.4
>    As decimal: 0.3333333333333333
>    (1/3) × 3 = 1
>    Equal to 1? True
> 
> 2) Division by 4 (exact in base-12):
>    1 / 4 = 0.3
>    (1/4) × 4 = 1
> 
> 3) Division by 5 (infinite in base-12, like 1/3 in decimal):
>    1 / 5 = 0.24972497249724X08101
>    As decimal: 0.19999999999999998
>    (1/5) × 5 = 1.00000000000000234505
>    Equal to 1? False
> 
> 4) Basic arithmetic:
>    X.6 + 3.4 = 11.X
>    X.6 - 3.4 = 7.2
>    X.6 × 3.4 = 2E
> 
> 5) Base-12 handles 0.1₁₀ differently:
>    0.1₁₀ in base-12: 0.1249724972497250406
>    0.2₁₀ in base-12: 0.24972497249724X08101
>    Sum: 0.37249724972497310161
>    Back to decimal: 0.3


On 1/3/26 02:56, René Oudeweg wrote:
> [Deze implementatie bestond nog niet...]
> 
> https://github.com/juggao/duodecimal/tree/main
> 
> 
> I've created a native base-12 arithmetic library that stores and 
> computes numbers entirely in duodecimal representation! Here are the key 
> features:
> 
> Core Capabilities:
> 
> * Native Base-12 Storage: Numbers stored as lists of digits [0-11], 
> using 'X' for 10 and 'E' for 11
> * All Four Basic Operations: Addition, subtraction, multiplication, and 
> division implemented in pure base-12
> * Configurable Precision: Context-based precision control (like Python's 
> decimal module)
> * Multiple Input Formats: Can create from base-12 strings, decimals, or 
> other Duodecimal objects
> 
> Key Advantages Demonstrated:
> 
> 1/3 is exact: Duodecimal("1") / Duodecimal("3") gives exactly 0.4 in 
> base-12
> 1/4 is exact: Perfect representation (unlike some bases)
> 1/6 terminates: Another advantage of 12's factorization
> 
> The Tradeoff:
> 
> 1/5 becomes infinite in base-12, just like 1/3 is infinite in decimal
> This demonstrates that no base eliminates rounding—it only shifts which 
> fractions terminate.
> 
>