Python script to approximate the golden ratio with the fibonacci series

goldener_schnitt_fibonacci.py

import matplotlib.pyplot as plt 
import numpy as np 
from decimal import *
getcontext().prec = 20

MAX_ITERATIONS = 20

phi_approximations = list()

current_fib = Decimal(1)
last_fib = Decimal(1)

for i in range(MAX_ITERATIONS):
    phi_approximations.append(current_fib / last_fib)
    next_fib = current_fib + last_fib
    last_fib = current_fib
    current_fib = next_fib

for i in range(MAX_ITERATIONS):
    print(f"{i}: \t{phi_approximations[i]}")

fig = plt.plot(range(MAX_ITERATIONS), phi_approximations)
plt.xlabel('Anzahl der Iterationen')
plt.ylabel('Wert')
plt.show()