kigdocument.noaxes()
kigdocument.nogrid()

a = Point(0., 0.)
b = Point(0., 1.)
c = Point(-0.3,1.6)
d = Point(0.2,1.4)

kigdocument.hideobjects()

e = CentralSymmetry (a, b)

angolo1 = Angle(e, b, c)
angolo2 = Angle(e, b, d)
segmento0 = Segment(a, b, VISIBLE)
segmento1 = Segment(b, c, VISIBLE)
segmento2 = Segment(b, d, VISIBLE)

def tree (p1, p2, n):   # build a tree with a trunk from p1 to p2, depth n
  s = Segment (p1, p2, VISIBLE)
  if n == 0:
    return

  p3 = CentralSymmetry (p1, p2)
  p4a = Rotate (p3, p2, angolo1)
  p5a = Scale2 (p4a, p2, segmento0, segmento1)
  p4b = Rotate (p3, p2, angolo2)
  p5b = Scale2 (p4b, p2, segmento0, segmento2)

  tree (p2, p5a, n-1)
  tree (p2, p5b, n-1)


tree (a, b, 6)