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from math import *
from turtle import *

def dist(a, b):
 return sqrt((a[0] - b[0]) ** 2 + (a[1] - b[1]) ** 2)

def angle(a, b):
 return degrees(atan2(b[1] - a[1], b[0] - a[0]))

def point(a):
 penup()
 goto(a)
 pendown()
 pensize(4)
 goto(position())
 pensize(1)

def segment(a, b, coul, dash=True):
 color(coul)
 r = dist(a, b)
 penup()
 point(a)
 if not(dash):pensize(3)
 setheading(angle(a, b))
 for i in range(r):
  penup() if i % 5 and dash else pendown()
  fd(1)
 point(b)

def avance(a, b, d):
 penup()
 goto(a)
 setheading(angle(a, b))
 fd(d)
 pendown()
 pensize(4)
 goto(position())

def cercle(a, b, r, coul):
 color(coul)
 avance(a, b, r)
 b = position()
 segment(a, b, coul)
 p = position()
 point(p)
 setheading(heading() + 90)
 circle(int(r))

speed(1)
cercle((0, 0), (50, 0), 50, "grey")
for i in range(6):
 cs1, ss1 = 50 * cos(2 * i * pi / 6), 50 * sin(2 * i * pi / 6)
 cercle((cs1, ss1), (0, 0),50, "grey")  
p = pi/6 
pt = []
for i in range(6):
 cs1, ss1 = 50 * sqrt(3) * cos(2 * i * pi / 6+p), 50 * sqrt(3) * sin(2 * i * pi / 6+p)
 pt.append((cs1,ss1))
 cs2, ss2 = 50 * cos(2 * i * pi / 6), 50 * sin(2 * i * pi / 6)
 cercle((cs1, ss1), (cs2, ss2),50, "grey")     
for i in range(6):
    segment(pt[i], pt[(i+1)%6],'red',False)
for i in range(3):
 segment(pt[2*i], (0,0),'red',False)    

hideturtle()