from turtle import *
from math import sqrt

def draw_leaf(size):
    circle(size,90)
    right(270)
    circle(.75*size,90)
    circle(-.25*size,90)

def draw_trunk(size):
    forward(10*size)    
    circle(size/8,90)

def draw_branch(size):
        angles = [135, 135, 135, 135, 90]
        for angle in angles:
            branch_end(size)
            circle(size/8,angle)

def tip(size):
    forward(size)
    right(45)
    forward(size/10)
    right(90)
    forward(size/10)
    right(45)
    forward(size)

def branching(ang1, d1, ang2, d2, ang3):
    right(ang1)
    forward(d1)
    right(ang2)
    forward(d2)
    right(ang3)

def branch_end(size):
    forward(4*size)
    right(300)
    tip(size)
    branching(240,size,330,size,330)    
    tip(size)
    branching(30,size,240,size,30)
    tip(size)
    branching(330,size,330,size,240)
    tip(size)
    right(300)
    forward(4*size)

def draw_tree(size):
    circle(size/4,90)
    draw_trunk(size)
    draw_branch(size)
    forward(10*size)
    circle(size/4,90)