from Tkinter import *
root = Tk()
root.title("This is for you dear reader. A token of esteem and affection.")
import math
cw = 800 # canvas width
ch = 800 # canvas height
chart_1 = Canvas(root, width=cw, height=ch, background="black")
chart_1.grid(row=0, column=0)
p0_x = 400.0
p0_y = 400.0
p1_x = 330.0
p1_y = 330.0
p2_x = 250.0
p2_y = 250.0
p3_x = 260.0
p3_y = 260.0
p4_x = 250.0
p4_y = 250.0
p5_x = 180.0
p5_y = 180.0
alpha_0 = math.atan((p0_y - p1_y)/(p0_x - p1_x))
length_0_1 = math.sqrt((p0_y - p1_y)*(p0_y - p1_y) + (p0_x - p1_ x)*(p0_x - p1_x))
alpha_1 = math.atan((p1_y - p2_y)/(p1_x - p2_x))
length_1_2 = math.sqrt((p2_y - p1_y)*(p2_y - p1_y) + (p2_x - p1_ x)*(p2_x - p1_x))
alpha_2 = math.atan((p2_y - p3_y)/(p2_x - p3_x))
length_2_3 = math.sqrt((p3_y - p2_y)*(p3_y - p2_y) + (p3_x - p2_  x)*(p3_x - p2_x))
alpha_3 = math.atan((p3_y - p4_y)/(p3_x - p4_x))
length_3_4 = math.sqrt((p4_y - p3_y)*(p4_y - p3_y) + (p4_x - p3_  x)*(p4_x - p3_x))
alpha_4 = math.atan((p3_y - p5_y)/(p3_x - p5_x))
length_4_5 = math.sqrt((p5_y - p4_y)*(p5_y - p4_y) + (p5_x - p4_ x)*(p5_x - p4_x))
for i in range(1,2300): # end the program after 500 position # shifts.
animationdigital flower examplealpha_0 += 0.003
alpha_1 += 0.018
alpha_2 -= 0.054
alpha_3 -= 0.108
alpha_4 += 0.018
p1_x = p0_x - length_0_1 * math.cos(alpha_0)
p1_y = p0_y - length_0_1 * math.sin(alpha_0)
tip_locus_2_x = p2_x
tip_locus_2_y = p2_y
p2_x = p1_x - length_1_2 * math.cos(alpha_1)
p2_y = p1_y - length_1_2 * math.sin(alpha_1)
tip_locus_3_x = p3_x
tip_locus_3_y = p3_y
p3_x = p2_x - length_2_3 * math.cos(alpha_2)
p3_y = p2_y - length_2_3 * math.sin(alpha_2)
tip_locus_4_x = p4_x
tip_locus_4_y = p4_y
p4_x = p3_x - length_3_4 * math.cos(alpha_3)
p4_y = p3_y - length_3_4 * math.sin(alpha_3)
tip_locus_5_x = p5_x
tip_locus_5_y = p5_y
p5_x = p4_x - length_4_5 * math.cos(alpha_4)
p5_y = p4_y - length_4_5 * math.sin(alpha_4)
chart_1.create_line(p1_x, p1_y, p0_x, p0_y, tag='line_1',  fill='gray')
chart_1.create_line(p2_x, p2_y, p1_x, p1_y, tag='line_2',  fill='gray')
chart_1.create_line(p3_x, p3_y, p2_x, p2_y, tag='line_3',  fill='gray')
chart_1.create_line(p4_x, p4_y, p3_x, p3_y, tag='line_4',  fill='gray')
animationdigital flower examplechart_1.create_line(p5_x, p5_y, p4_x, p4_y, tag='line_5',  fill='#550000')
chart_1.create_line(tip_locus_2_x, tip_locus_2_y, p2_x, p2_y,  fill='#ff00aa')
chart_1.create_line(tip_locus_3_x, tip_locus_3_y, p3_x, p3_y,  fill='#aa00aa')
chart_1.create_line(tip_locus_4_x, tip_locus_4_y, p4_x, p4_y,  fill='#dd00dd')
chart_1.create_line(tip_locus_5_x, tip_locus_5_y, p5_x, p5_y,  fill='#880066')
chart_1.create_line(tip_locus_2_x, tip_locus_2_y, p5_x, p5_y,  fill='#0000ff')
chart_1.create_line(tip_locus_3_x, tip_locus_3_y, p4_x, p4_y,  fill='#6600ff')
chart_1.update() # This refreshes the drawing on the # canvas.
chart_1.delete('line_1', 'line_2', 'line_3', 'line_4') # Erase # selected tags.
root.mainloop()