import turtle
import math


def regularPolygon(numbersides, lengthside):
    n = lengthside
    r = numbersides
    z = (180 * r - 360) / r
    turtle.left(z / 2)
    for i in range(0, r):
        turtle.left(180 - z)
        turtle.forward(n)
    turtle.right(z / 2)


turtle.speed(2)
y = 60
regularPolygon(3, y)
r = y / (2 * math.sin(math.radians(360 / 6)))
for i in range(9):
    turtle.penup()
    turtle.forward(30)
    turtle.pendown()
    a = (r + 30) * 2 * math.sin(math.radians(360 / (2 * (4 + i))))
    regularPolygon(4 + i, a)
    r = a / (2 * math.sin(math.radians(360 / (2 * (4 + i)))))