#!/usr/bin/env python
from turtle import *
import math
import time
def pause():
    input("pause>")
    reset()

def exercice1(l): #J'ai mis un chiffre dans le nom de la variable pour me repérer
    #Fonction carré
    forward(l)
    left(90)
    forward(l)
    left(90)
    forward(l)
    left(90)
    forward(l)
    left(90)

def exercice2():
    exercice1(20)
    left(90)
    exercice1(40)
    left(90)
    exercice1(60)
    left(90)
    exercice1(70)

def exercice3():
    speed('fastest')
    for length in range(20, 200 ,20):
        exercice1(length)

def exercice4():
    speed('fastest')
    for i in range(1,501):
        forward(i)
        left(91)
def exercice5():
    def polygone(n, l):
        for i in range(1,n+1):
            forward(l)
            left(360/n)
    for i in range(3,7+1):
        polygone(i,30)
def exercice6():
    circle(70)
    circle(70,360*2, 5)

def exercice7():
    speed('fastest')
    for i in range(72):
        circle(70,180)
        setpos(0,0)
        left(5)

#FRACTALES

def exercice9():
    left(180)
    speed('fastest')
    def sierpinski(n, l):
        if n==1:
            begin_fill()
            for _ in range(3):
                left(60)
                forward(l)
                left(60)
            #circle(math.sqrt(((l)**2)/(2-2*math.cos(math.pi*30/180))),360,3)
            end_fill()
        else:
            sierpinski(n-1, l/2)
            left(60)
            forward(l)
            left(60)
            sierpinski(n-1, l/2)
            left(60)
            forward(l)
            left(60)
            sierpinski(n-1, l/2)
            left(60)
            forward(l)
            left(60)
    sierpinski(5,300)
    
def exercice10():
    left(90)
    speed('fastest')
    def bin_tree(n, h):
        pensize(n)
        forward(h/3)
        if n!=1 :
            left(30)
            bin_tree(n-1, 2*h/3)
            right(60)
            bin_tree(n-1, 2*h/3)
            left(30)
        left(180)
        forward(h/3)
        left(180)
    bin_tree(4,300)
def exercice11():
    Alice = Turtle()
    Bob = Turtle()
    Alice.penup()
    Bob.penup()
    Bob.setpos(-60,-10)
    Alice.setpos(0,40)
    Alice.pendown()
    Bob.pendown()
    def tick():
        Bob.forward(1.0)
        Alice.setheading(Alice.towards(*Bob.position()))
        Alice.forward(1.2)
    while Alice.distance(*Bob.position()) > 2:
        tick()
        time.sleep(0.001)
        
    
"""exercice1(40)
pause()
exercice2()
pause()
exercice3()
pause()
exercice4()
pause()
exercice5()
pause()
exercice6()
pause()
exercice7()
pause()
exercice9()
pause()
exercice10()
pause()
exercice11()
pause()"""