from turtle import Turtle
from numpy import cos, sin, pi

t = Turtle()
t.speed(2)

t.shape('turtle')


def pol2dec(r: float, phi: float) -> tuple:
    x = r * cos(phi)
    y = r * sin(phi)
    point = (x, y)

    return point


vMin = 3
vMax = 13
a = 10


for n in range(vMin, vMax + 1):
    angle = 0
    radius = 0

    angle_inc = ( 360 / n ) / 2
    radius_inc = angle_inc / (2 * sin(360 / 2 * n))

    angle += angle_inc
    radius += radius_inc

    print("++++++block++++++")
    print("n = ", n)
    print("angle = ", angle)
    print("radius = ", radius)
    print("++++++block++++++")

    for i in range(n):
        t.goto(*pol2dec(radius, angle))