"""
Koch Snowflake I
03.02.2022
(c) Juergen Meier (www.3d-meier.de)
"""

import c4d
import random
import math
import cmath

# Variablen und Konstanten
Titel = 'Koch Snowflake I' # Name
N = 1000000                # Anzahl Punkte
Nv = 100                   # Anzahl Punkte verwerfen
dx = 2.0                   # Breite Polygon
dy = 2.0                   # Hoehe Polygon
Faktor = 1000              # Skalierungsfaktor
s = math.sqrt(3.0)         # Konstante
xa = 0.5
a = 1/2.0
b = s/6.0
c = 1/3.0
d = 1/s
e = 2/3.0

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(0,6)
        if zufall == 0:           
           x = a*xa -b*y
           y = b*xa + a*y   
        if zufall == 1:
           x = c*xa + d
           y = c*y  + c
        if zufall == 2:
           x = c*xa
           y = c*y  + e
        if zufall == 3:
           x = c*xa - d
           y = c*y  + c
        if zufall == 4:
           x = c*xa - d
           y = c*y  - c
        if zufall == 5:
           x = c*xa
           y = c*y - e
        if zufall == 6:
           x = c*xa + d
           y = c*y  - c
        xa = x

    for i in xrange(0,N):
        zufall = random.randint(0,6)
        if zufall == 0:           
           x = a*xa -b*y
           y = b*xa + a*y   
        if zufall == 1:
           x = c*xa + d
           y = c*y  + c
        if zufall == 2:
           x = c*xa
           y = c*y  + e
        if zufall == 3:
           x = c*xa - d
           y = c*y  + c
        if zufall == 4:
           x = c*xa - d
           y = c*y  - c
        if zufall == 5:
           x = c*xa
           y = c*y - e
        if zufall == 6:
           x = c*xa + d
           y = c*y  - c
        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()