golden spiral

import pygame
from pygame.locals import *
import numpy as np

def Fibonacci():
    array = [0,10]
    for i in range(2,20):
        array.append( array[i-1]+array[i-2])
    return array

def compute_bezier_points():
    global boolean
    result = []

    b0x = koordinaten[0][0]
    b0y = koordinaten[0][1]
    if boolean:
        b1x = koordinaten[3][0]
        b1y = koordinaten[3][1]
        boolean = False
    else:
        b1x = koordinaten[1][0]
        b1y = koordinaten[1][1]
        boolean = True
    b2x = koordinaten[2][0]
    b2y = koordinaten[2][1]

    for t in np.arange(0, 1, 0.01):
        point = ((1-t)**2 *b0x + 2*(1-t)*t*b1x + t**2 *b2x, (1-t)**2 *b0y+ 2*(1-t)*t*b1y + t**2 *b2y)
        result.append((point))
    return result



def Quadrat():
    global orientierung, array, zaehler, koordinaten

    zaehler += 1
    koordinaten[0], koordinaten[2] = koordinaten[2], koordinaten[0]
    if orientierung == 1:
        orientierung = 2
        koordinaten[1] = [koordinaten[0] [0], koordinaten[0] [1]- array[zaehler]]
        koordinaten[2] = [koordinaten[1] [0] + array[zaehler], koordinaten[1] [1]]
        koordinaten[3] = [koordinaten[2] [0], koordinaten[0] [1]]
    elif orientierung == 2:
        orientierung = 3
        koordinaten[1] = [koordinaten[0] [0], koordinaten[0] [1]- array[zaehler]]
        koordinaten[2] = [koordinaten[1] [0] - array[zaehler], koordinaten[1] [1]]
        koordinaten[3] = [koordinaten[2] [0], koordinaten[0] [1]]
    elif orientierung == 3:
        orientierung = 4
        koordinaten[1] = [koordinaten[0] [0], koordinaten[0] [1]+ array[zaehler]]
        koordinaten[2] = [koordinaten[1] [0] - array[zaehler], koordinaten[1] [1]]
        koordinaten[3] = [koordinaten[2] [0], koordinaten[0] [1]]
    else:
        orientierung = 1
        koordinaten[1] = [koordinaten[0] [0], koordinaten[0] [1]+ array[zaehler]]
        koordinaten[2] = [koordinaten[1] [0] + array[zaehler], koordinaten[1] [1]]
        koordinaten[3] = [koordinaten[2] [0], koordinaten[0] [1]]




#Schritte zum zeichnen der Koordinaten
zaehler = 0
orientierung = 1
array = Fibonacci()
running = True
boolean = True
aufloesung = (800,800)
#Koordinaten der Quadrate
koordinaten = [[400,400],[400,400],[400,400],[400,400]]
white = (255,255,255)
GUI = pygame.display.set_mode(aufloesung)
GUI.fill(white)
while (running):
    for event in pygame.event.get():
            if event.type in (QUIT,KEYDOWN):
                running = False

    clock = pygame.time.Clock()
    clock.tick(60)
    Quadrat()
    pygame.draw.circle(GUI,(0,255,0),(400,400),3)
    pygame.draw.line(GUI,(255,0,0),(koordinaten[0] [0], koordinaten[0] [1]),(koordinaten[1] [0], koordinaten[1] [1]))
    pygame.draw.line(GUI,(255,0,0),(koordinaten[1] [0], koordinaten[1] [1]),(koordinaten[2] [0], koordinaten[2] [1]))
    pygame.draw.line(GUI,(255,0,0),(koordinaten[2] [0], koordinaten[2] [1]),(koordinaten[3] [0], koordinaten[3] [1]))
    pygame.draw.line(GUI,(255,0,0),(koordinaten[3] [0], koordinaten[3] [1]),(koordinaten[0] [0], koordinaten[0] [1]))
    b_points = compute_bezier_points()
    for i in range(len(b_points)-1):
        pygame.draw.line(GUI, pygame.Color("blue"), b_points[i],b_points[i+1], 2)
        pygame.display.update()
        pygame.time.wait(5)
    pygame.display.update()