"""
Pentigree
27.01.2022
(c) Jürgen Meier (www.3d-meier.de)
"""

import c4d
import random
import math


# Variablen und Konstanten
Titel = 'Pentigree' # Name
N = 10000000        # Anzahl Punkte
Nv = 100            # Anzahl Punkte verwerfen
dx = 0.50           # Breite Polygon
dy = 0.50           # Hoehe Polygon
Faktor = 1000       # Skalierungsfaktor
r = (3 - math.sqrt(5.0))/2.0   # Konstante
a = r*math.cos(math.radians(36))
b = r*math.sin(math.radians(36))
c = r*math.cos(math.radians(108))
d = r*math.sin(math.radians(108))
e = a - r*math.cos(math.radians(72))
f = b + r*math.sin(math.radians(72))
g = e + a
h = f - b
k = g - r*math.cos(math.radians(72))
l = h - r*math.sin(math.radians(72))
m = k + a
n = l - b

def CreatePolygonObject():
    obj = c4d.BaseObject(c4d.Opolygon)
    obj.ResizeObject(4*N, N)
    obj.SetName(Titel)
  # Startwert der Berechnung
    x = 0.5
    xa = x
    y = 0.5
  # Zaehler fuer Punkte setzten
    zz = 0
  # Zaehler fuer Polygone setzten
    zzz = 0
    for i in xrange(0,Nv):
        zufall = random.randint(0,5)
        if zufall == 0:           
           x = a*xa - b*y
           y = b*xa + a*y
        if zufall == 1:           
           x = c*xa - d*y + a
           y = d*xa + c*y + b
        if zufall == 2:           
           x =  a*xa + b*y + e
           y = -b*xa + a*y + f
        if zufall == 3:           
           x =  c*xa + d*y + g
           y = -d*xa + c*y + h
        if zufall == 4:           
           x =  a*xa + b*y + k
           y = -b*xa + a*y + l
        if zufall == 5:           
           x = a*xa - b*y + m
           y = b*xa + a*y + n
        xa = x

    for i in xrange(0,N):
        zufall = random.randint(0,5)
        if zufall == 0:           
           x = a*xa - b*y
           y = b*xa + a*y
        if zufall == 1:           
           x = c*xa - d*y + a
           y = d*xa + c*y + b
        if zufall == 2:           
           x =  a*xa + b*y + e
           y = -b*xa + a*y + f
        if zufall == 3:           
           x =  c*xa + d*y + g
           y = -d*xa + c*y + h
        if zufall == 4:           
           x =  a*xa + b*y + k
           y = -b*xa + a*y + l
        if zufall == 5:           
           x = a*xa - b*y + m
           y = b*xa + a*y + n
        xa = x


        obj.SetPoint(zz, c4d.Vector((Faktor*x-dx/2.0),(Faktor*y+dy/2.0),0))
        zz=zz+1
        obj.SetPoint(zz, c4d.Vector((Faktor*x-dx/2.0),(Faktor*y-dy/2.0),0))
        zz=zz+1
        obj.SetPoint(zz, c4d.Vector((Faktor*x+dx/2.0),(Faktor*y+dy/2.0),0))
        zz=zz+1
        obj.SetPoint(zz, c4d.Vector((Faktor*x+dx/2.0),(Faktor*y-dy/2.0),0))
        zz=zz+1
        obj.SetPolygon(zzz, c4d.CPolygon(zz-1,zz-2,zz-4,zz-3))
        zzz=zzz+1

    obj.Message(c4d.MSG_UPDATE)
    return obj



def main():
    plyobj = CreatePolygonObject()
    doc.InsertObject(plyobj, None, None, True)

    c4d.EventAdd()



if __name__=='__main__':
    main()