Question

Create a GUI (Graphical User Interface) in Python to graph the approximation of the Golden Spiral (Fibonacci Spiral).

34 21 13

For this purpose, you must calculate the coordinates and radio, and simulate a process of infinity using a loop.

In short, the graph must start in the lower left side corner and continue to its center infinitely.

Answer 1

# Python program for Plotting Fibonacci
# spiral fractal using Turtle
import turtle
import math

def fiboPlot(n):
   a = 0
   b = 1
   square_a = a
   square_b = b

   # Setting the colour of the plotting pen to blue
   x.pencolor("black")

   # Drawing the first square
   x.forward(b * factor)
   x.left(90)
   x.forward(b * factor)
   x.left(90)
   x.forward(b * factor)
   x.left(90)
   x.forward(b * factor)

   # Proceeding in the Fibonacci Series
   temp = square_b
   square_b = square_b + square_a
   square_a = temp
  
   # Drawing the rest of the squares
   for i in range(1, n):
       x.backward(square_a * factor)
       x.right(90)
       x.forward(square_b * factor)
       x.left(90)
       x.forward(square_b * factor)
       x.left(90)
       x.forward(square_b * factor)

       # Proceeding in the Fibonacci Series
       temp = square_b
       square_b = square_b + square_a
       square_a = temp

   # Bringing the pen to starting point of the spiral plot
   x.penup()
   x.setposition(factor, 0)
   x.seth(0)
   x.pendown()

   # Setting the colour of the plotting pen to red
   x.pencolor("black")

   # Fibonacci Spiral Plot
   x.left(90)
   for i in range(n):
       print(b)
       fdwd = math.pi * b * factor / 2
       fdwd /= 90
       for j in range(90):
           x.forward(fdwd)
           x.left(1)
       temp = a
       a = b
       b = temp + b

# Here 'factor' signifies the multiplicative
# factor which expands or shrinks the scale
# of the plot by a certain factor.
factor = 1

# Taking Input for the number of
# Iterations our Algorithm will run
n = int(input('Enter the number of iterations (must be > 1): '))

# Plotting the Fibonacci Spiral Fractal
# and printing the corresponding Fibonacci Number
if n > 0:
   print("Fibonacci series for", n, "elements :")
   x = turtle.Turtle()
   x.speed(100)
   fiboPlot(n)
   turtle.done()
else:
   print("Number of iterations must be > 0")