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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 segment(a, b, coul):
 pensize(1)
 r = dist(a, b)
 penup()
 goto(a)
 color(coul)
 setheading(angle(a, b))
 for i in range(r):
  penup() if i % 5 else pendown()
  fd(1)

def arc(a, b, c, w, coul):
 color(coul)
 pensize(w)
 bc = dist(b, c)
 ac = dist(a, c)
 ab = dist(a, b)
 u = angle(a, b)
 t = degrees(acos((ac * ac + ab * ab - bc * bc) / (2 * ac * ab)))
 penup()
 goto(b)
 setheading(u + 90)
 pendown()
 circle(int(ab), t)

def avance(a, b, d):
 penup()
 goto(a)
 setheading(angle(a, b))
 fd(d)
 pendown()
 pensize(4)
 goto(position())
 pensize(1)


pt = [(0, -100)]
speed(1)
penup()
goto(pt[0])
pendown()

for _ in range(6):
 pensize(1)
 circle(100, 60)
 pensize(4)
 goto(position())
 pt.append(position())

r = dist(pt[0], pt[2])
pa = []

for i in range(3):
 segment(pt[2 * i + 2], pt[(2 * i + 5) % 6], "grey")
for i in range(3):
 segment(pt[2 * i], pt[(2 * i + 2) % 6], "red")
 arc(pt[2 * i], pt[2 * i + 2], pt[(2 * i + 4) % 6], 2, "red")
for i in range(3):
 avance(pt[2 * i + 1], pt[(2 * i + 4) % 6], 200 - r)
 p = position()
 segment(p, pt[2 * i + 2], "blue")
 arc(p, pt[2 * i + 2], pt[2 * i], 1, "blue")
for i in range(3):
 avance(pt[2 * i + 2], (0, 0), 30)
 pa.append(position())
for i in range(3):
 avance(pt[2 * i + 1], pt[(2 * i + 4) % 6], 50)
 p = position()
 segment(p, pa[i], "purple")
 arc(p, pa[i], pa[(i + 2) % 3], 1, "purple")

hideturtle()