A general solution for the four fours problem

four_fours.py

# log(log(sqrt(4), 4), (sqrt(4)/4)) == 1

import math

def repeat(func, n):
    x = 4
    for _ in range(n):
        x = func(x)
    return x

def four_fours(n):
    inner = repeat(math.sqrt, n)
    return round(math.log(math.log(inner, 4), (math.sqrt(4)/4)))

if __name__ == '__main__':
    print("The four fours problem, first 100 solutions:")
    subscript_digits = '₀₁₂₃₄₅₆₇₈₉'
    print("Format: number, equation, calculated number")
    for num in range(100):
        inner = f"{'√' * num}4"
        print(f"{num} = log₄(log√₄/₄({inner})) = {four_fours(num)}")