root_2.py

import math


def test_propotions(height, width):
    """checking the width and height of the number"""
    return height/width == math.sqrt(2)

def get_dimensions(a, b):
    """checks it"""
    if  a > b:
        return a, b
    else:
        return b, a

def check(x, y):
    return x/y

def scale(d):
    """trying folding the canvas"""
    x, y = get_dimensions(*d)
    return x, y



if __name__ == "__main__":

    # math.sqrt(2) = 1.414
    # lets start with prefixed measurements. width = 500 height = 707 h/w = 1.414
    factor = check(707, 500)
    print(factor)
    factor = check(*scale([707, 500]))
    print(factor)
    factor = check(*scale([707/2, 500])) #folding the paper
    print(factor)
    factor = check(*scale([707/2, 500/2])) #folding the paper
    print(factor)

    #math.sqrt(3) = 1.732
    # let start with prefixed measurements width = 500 height = 866
    factor = check(*scale([866, 500]))
    print(factor)
    factor = check(*scale([866/2, 500])) # folding the paper
    print(factor)
    factor = check(*scale([866/2, 500/2])) # folding the paper
    print(factor)