# tk_Square_Spiral_Fractal_Animation.py

# tk_Square_Spiral_Fractal_Animation.py

import tkinter as tk
import math

WIDTH, HEIGHT = 300, 300

root = tk.Tk()
root.title("Square Spiral Fractal Animation")
canvas = tk.Canvas(root, width=WIDTH, height=HEIGHT, bg='black')
canvas.pack()

rainbow=[]
def z(r,g,b):
    rainbow.append(f'#{r:02x}{g:02x}{b:02x}')
r,g,b=255,0,0
for g in range(256):
    z(r,g,b)
for r in range(254, -1, -1):
    z(r,g,b)
for b in range(256):
    z(r,g,b)
for g in range(254, -1, -1):
    z(r,g,b)
for r in range(256):
    z(r,g,b)
for b in range(254, -1, -1):
    z(r,g,b)

Lcolors = len(rainbow) - 1

steps = (WIDTH/5)*(HEIGHT/5)
incr = 3 / steps
div = 50 / steps

def spiral_coords(width, height, step):
    cx, cy = width // 2, height // 2
    x, y = 0, 0
    dx, dy = 0, -1
    max_side = max(width, height)
    coords = []
    for i in range((max_side//step + 2) ** 2):
        px, py = cx + x*step, cy + y*step
        if 0 <= px < width and 0 <= py < height:
            coords.append((px, py))
        if x == y or (x < 0 and x == -y) or (x > 0 and x == 1-y):
            dx, dy = -dy, dx
        x, y = x+dx, y+dy
    return coords

spiral_order = spiral_coords(WIDTH, HEIGHT, 5)[::-1]

pixels = {}
i = 0
for x, y in spiral_order:
    j = 25 + ((i * incr) * (div * i))
    pixels[x, y] = [j, j]
    i += 1

while 1:
    canvas.delete("all")
    for x, y in spiral_order:
        i, j = pixels[x, y]
        j = (i + j) % Lcolors
        pixels[x, y] = [i, j]
        color = rainbow[int(j)]
        canvas.create_rectangle(x, y, x+5, y+5, fill=color, outline='')
    canvas.update()

root.mainloop()