def ustDoNastTetki(orient=1, bokKw=10):
    turtle.pu()
    turtle.rt(90*orient)
    turtle.fd(bokKw*2)
    turtle.lt(90*orient)
    turtle.fd(bokKw*3)
    turtle.pd()

def ustNaStart(r):
    turtle.lt(90)
    turtle.pu()
    turtle.rt(90)
    turtle.fd(r)
    turtle.lt(90)
    turtle.pd()

def circle(x,y,size):
	turtle.pu()
	turtle.goto(x,y)
	turtle.pd()
	turtle.begin_fill()
	turtle.circle(size)
	turtle.end_fill()

def line(a1,b1,a2,b2,c):
    turtle.pu()
    turtle.goto(a1,b1)
    turtle.color(c)
    turtle.pd()
    turtle.pensize(10)
    turtle.goto(a2,b2)

def ustNaStart(dlBokKw, ile):
    turtle.pu()
    turtle.bk(dlBokKw * ile / 2 +5)
    turtle.lt(90)
    turtle.fd(dlBokKw * (ile - 2) / 2 - 5)
    turtle.rt(90)
    turtle.pd()

def ustDoPOka(a):
    turtle.rt(60)
    turtle.bk(a * 1.5)
    turtle.lt(60)
    turtle.pu()
    turtle.rt(180)
    turtle.fd(4 * a)
    turtle.lt(60)
    turtle.fd(4 * a)
    turtle.lt(60)
    turtle.fd(4 * a)
    turtle.rt(60)
    turtle.fd(4 * a)
    turtle.lt(60)
    turtle.lt(360 / 12)
    turtle.fd(a * 8)
    turtle.lt(360 / 12)
    turtle.fd(a * 8)
    turtle.lt(360 / 12)
    turtle.fd(a * 8)
    turtle.lt(360 / 12)
    turtle.lt(60)
    turtle.fd(4 * a)
    turtle.lt(60)
    turtle.fd(a * 4)
    turtle.pd()

def turmandel(step, zoom, xres, yres, xthresh, ythresh):
  turtle.setheading(0)
  for y in range(yres):
    turtle.pu()
    turtle.setpos(0, y)
    turtle.pd()
    for x in range(xres):
      x = float(x)
      y = float(y)
      u = float(x)/float((xres/zoom))-xthresh
      v = float(y)/float((yres/zoom))-ythresh
      x0 = float(u)
      y0 = float(v)
      a = 0.0
      b = 0.0
      i = step
      while ((i>0) and (a+b<=4.0)):
        a = float(x0*x0)
        b = float(y0*y0)
        y0 = float(2.0*x0*y0+v)
        x0 = float(a-b+u)
        i = i - 1
      color = i % 255
      turtle.pencolor((color, color, color))
      if i < 1:
        turtle.pencolor((0,0,0))
      turtle.fd(1)

def ustDoElki(dlBokKw, bokKr):
    turtle.pu()
    turtle.fd(bokKr - dlBokKw)
    turtle.lt(90)
    turtle.fd(dlBokKw)
    turtle.lt(90)
    turtle.pd()

def ustDo2Elki(dlBokKw, bokKr, bokDl):
    turtle.pu()
    turtle.fd(bokKr - dlBokKw *2)
    turtle.rt(90)
    turtle.fd(bokDl - dlBokKw*2)
    turtle.rt(90)
    turtle.pd()

def ustNaStartKwiatki(rozmKanwy, segment):
    turtle.pu()
    turtle.bk(225)
    turtle.lt(90)
    turtle.bk(225)
    turtle.rt(90)
    turtle.pd()

def draw_triangle(x,y):
	turtle.penup()
	turtle.goto(x,y)
	turtle.pd()
	turtle.goto(x+25,y+50)
	turtle.goto(x+50,y)
	turtle.goto(x,y)

def ustNaStart(a):
    turtle.pu()
    turtle.bk(a)
    turtle.lt(90)
    turtle.fd(a / 2)
    turtle.rt(90)
    turtle.pd()

def draw_triangle(x,y):
	turtle.pu()
	turtle.goto(x,y)
	turtle.pd()
	turtle.goto(x+60,y+85)
	turtle.goto(x+85,y)
	turtle.goto(x,y)

def ustDoNastKraw(ile, bokKw=10):
    turtle.pu()
    turtle.lt(90)
    turtle.fd(bokKw)
    turtle.rt(90)
    turtle.rt(180)
    turtle.pd()

def rowOfShapes(number):
    for x in xrange(number):
        hexaTrangle(25,90,randomColor(),randomColor())
        turtle.left(90)
        turtle.pu()
        turtle.fd(15)
        turtle.pd()

def ustDoKwadratu(dlBokKw):
    turtle.pu()
    turtle.fd(dlBokKw * 2)
    turtle.lt(90)
    turtle.fd(dlBokKw * 2)
    turtle.lt(90)
    turtle.pd()

def linha(x1,y1,x2,y2):
    """ Traça uma linha entre dois pontos."""
    turtle.up()
    turtle.goto(x1,y1)
    turtle.pd()
    turtle.goto(x2,y2)
    turtle.up()

def stam(x,y):
    turtle.begin_fill()
    turtle.pu()
    turtle.goto(x,y)
    turtle.pd()
    turtle.circle(10)
    turtle.end_fill()

def ustDoNosa(a):
    turtle.pu()
    turtle.rt(60)
    turtle.bk(1.5 * a)
    turtle.fd(4 * a)
    turtle.lt(360 / 6)
    turtle.fd(4 * a)
    turtle.lt(360 / 6)
    turtle.fd(4 * a)
    turtle.lt(360 / 6)
    turtle.rt(180)
    turtle.lt(60)
    turtle.fd(a * 4)
    turtle.lt(120)
    turtle.fd(a * 8)
    turtle.lt(360 / 12)
    turtle.fd(a * 8)
    turtle.lt(360 / 12)
    turtle.fd(a * 8)
    turtle.lt(360 / 12)
    turtle.fd(a * 8)
    turtle.lt(360 / 12)
    turtle.lt(60)
    turtle.fd(8 * a)
    turtle.lt(30)
    turtle.lt(360 / 6)
    turtle.fd(2 * a)
    turtle.rt(360 / 6)
    turtle.fd(2 * a)
    turtle.rt(360/ 6)
    turtle.fd(a * 2)
    turtle.lt(360 / 6)
    turtle.pd()

def ustDoNastElem(dlBokMalKw):
    turtle.pu()
    turtle.rt(90)
    turtle.fd(dlBokMalKw * 5)
    turtle.lt(90)
    turtle.fd(dlBokMalKw)
    turtle.pd()