print("This program draws pentagons of many colors.")

while True:
    pent_num = int(input("Enter the desired number of pentagons to draw:"))
    if pent_num <= 0 or pent_num > 30:
        print("Please enter an integer that is greater than zero and less than 30")
        continue
    break

    
import math
import turtle

n=5 # number or desired shape has
length=50 # length turtle moves per side of pentagon
sin=(math.sqrt(3)/2) # unit circle coordinate 
cos=(.5) # unit circle coordinate
ext_ang = 180-180*(n-2)/n
count = 0
x1= .2 # chosen color %
x2= .4 # chosen color %
x3= .6 # chosen color %

turtle.color(x3,x1,x2)
turtle.begin_fill()
turtle.penup()
turtle.goto(0,2.5*cos*length) # top of unit circle * 2.5
turtle.pendown()

while 5 <= pent_num:
    while count < 5:
        turtle.forward(length)
        turtle.left(ext_ang)  # n = number of repeated loops
        count = count + 1     # draws 1+5n pentagon
        
    turtle.end_fill()
    turtle.penup()
    turtle.goto(sin*length,cos*length)
    turtle.pendown()
    count = 0
    turtle.color(x3,x2,x1)
    turtle.begin_fill()

    while count < 5:
        turtle.forward(length)
        turtle.left(ext_ang)
        count = count + 1   # draws 2+5n pentagon
        
    turtle.end_fill()
    turtle.penup()
    turtle.goto(-sin*length,cos*length)
    turtle.pendown()
    count = 0
    turtle.color(x1,x3,x2)
    turtle.begin_fill()

    while count < 5:
        turtle.forward(length)
        turtle.left(ext_ang)
        count = count + 1   # draws 3+5n pentagon

    turtle.end_fill()
    turtle.penup()
    turtle.goto(-sin*length,-cos*length)
    turtle.pendown()
    count = 0
    turtle.color(x2,x3,x1)
    turtle.begin_fill()

    while count < 5:
        turtle.forward(length)
        turtle.left(ext_ang)
        count = count + 1 # draws 4+5n pentagon

    turtle.end_fill()
    turtle.penup()
    turtle.goto(sin*length,-cos*length)
    turtle.pendown()
    count = 0
    turtle.color(x2,x1,x3)
    turtle.begin_fill()

    while count < 5:
        turtle.forward(length)
        turtle.left(ext_ang)
        count = count + 1 # draws 5+5n pentagon

    turtle.end_fill()
    pent_num = pent_num - 5
    sin = 1.25*sin # sin multiplier for next loop
    cos = 1.25*cos # cos multiplier for next loop
    count= 0
    turtle.penup()
    turtle.goto(0,2.5*cos*length) # new destination for start pentagon of new loop
    turtle.pendown()
    x1=x1*.8 # color % multiplier for next loop
    x2=x2*.3 # color % multiplier for next loop
    x3=x3*.7 # color % multiplier for next loop
    turtle.color(x1,x2,x3) 
    turtle.begin_fill()

turtle.color(x1,x2,x3)
turtle.begin_fill()

while 4<= pent_num and pent_num < 5:
    while count < 5:
        turtle.forward(length)
        turtle.left(ext_ang)
        count = count + 1
    turtle.end_fill()
    pent_num = pent_num - 1
    turtle.penup()
    turtle.goto(-sin*length,cos*length)
    turtle.pendown()
    count = 0
    turtle.color(x1,x3,x2)
    turtle.begin_fill()

while 3<= pent_num and pent_num < 4:
    while count < 5:
        turtle.forward(length)
        turtle.left(ext_ang)
        count = count + 1
    turtle.end_fill()
    pent_num = pent_num - 1
    turtle.penup()
    turtle.goto(-sin*length,-cos*length)
    turtle.pendown()
    count = 0
    turtle.color(x2,x1,x3)
    turtle.begin_fill()

while 2<= pent_num and pent_num < 3:
    while count < 5:
        turtle.forward(length)
        turtle.left(ext_ang)
        count = count + 1
    turtle.end_fill()
    pent_num = pent_num - 1
    turtle.penup()
    turtle.goto(sin*length,-cos*length)
    turtle.pendown()
    count = 0
    turtle.color(x2,x3,x1)
    turtle.begin_fill()

while 1<= pent_num and pent_num < 2:
    while count < 5:
        turtle.forward(length)
        turtle.left(ext_ang)
        count = count + 1
    turtle.end_fill()
    pent_num = pent_num - 1
    turtle.penup()
    turtle.goto(sin*length,cos*length)
    turtle.pendown()
    count = 0

print("Thank you for using this program.")