Golden Ratio Calculator

# Golden ratio calculations
PHI = (1 + 5 ** 0.5) / 2  # 1.6180339887...

def golden_ratio_split(total):
    """Split a length into golden ratio proportions"""
    major = total * PHI / (1 + PHI)
    minor = total / (1 + PHI)
    return major, minor

def golden_width_to_height(width):
    return width / PHI

def golden_height_to_width(height):
    return height * PHI

# Examples
print(f"phi = {PHI:.10f}")
width = 1920
height = golden_width_to_height(width)
print(f"Golden height for width {width} = {height:.0f}")  # 1186

total = 100
major, minor = golden_ratio_split(total)
print(f"Split {total}: major={major:.3f}, minor={minor:.3f}")  # 61.803, 38.197

# Fibonacci approximation
fibs = [1, 1]
for _ in range(10):
    fibs.append(fibs[-1] + fibs[-2])
for a, b in zip(fibs[-6:], fibs[-5:]):
    print(f"{b}/{a} = {b/a:.6f}")