"""
Hexakisoktaeder 2
16.01.2021
www.3d-meier.de
http://dmccooey.com/polyhedra/BiscribedDisdyakisDodecahedron.html
"""

import c4d
import math

# Variablen und Konstanten
Titel = 'Hexakisoktaeder 2' # Name

NP = 26    # Anzahl Punkte
N3 = 48    # Anzahl Dreiecke

Radius = 0.5 # Radius der Eckpunktkugeln    

C0 = math.sqrt(2)
C1 = (3 + 6 * math.sqrt(2)) / 7
C2 = (6 + 9 * math.sqrt(2)) / 7

Punkte = [(0.0, 0.0,  C2),
          (0.0, 0.0, -C2),
          ( C2, 0.0, 0.0),
          (-C2, 0.0, 0.0),
          (0.0,  C2, 0.0),
          (0.0, -C2, 0.0),
          ( C1, 0.0,  C1),
          ( C1, 0.0, -C1),
          (-C1, 0.0,  C1),
          (-C1, 0.0, -C1),
          ( C1,  C1, 0.0),
          ( C1, -C1, 0.0),
          (-C1,  C1, 0.0),
          (-C1, -C1, 0.0),
          (0.0,  C1,  C1),
          (0.0,  C1, -C1),
          (0.0, -C1,  C1),
          (0.0, -C1, -C1),
          ( C0,  C0,  C0),
          ( C0,  C0, -C0),
          ( C0, -C0,  C0),
          ( C0, -C0, -C0),
          (-C0,  C0,  C0),
          (-C0,  C0, -C0),
          (-C0, -C0,  C0),
          (-C0, -C0, -C0)]
    

Dreiecke = [(0,  6, 18, 18),
            (0, 18, 14, 14),
            (0, 14, 22, 22),
            (0, 22,  8,  8),
            (0,  8, 24, 24),
            (0, 24, 16, 16),
            (0, 16, 20, 20),
            (0, 20,  6,  6),
            (1,  7, 21, 21),
            (1, 21, 17, 17),
            (1, 17, 25, 25),
            (1, 25,  9,  9),
            (1,  9, 23, 23),
            (1, 23, 15, 15),
            (1, 15, 19, 19),
            (1, 19,  7,  7),
            (2,  6, 20, 20),
            (2, 20, 11, 11),
            (2, 11, 21, 21),
            (2, 21,  7,  7),
            (2,  7, 19, 19),
            (2, 19, 10, 10),
            (2, 10, 18, 18),
            (2, 18,  6,  6),
            (3,  8, 22, 22),
            (3, 22, 12, 12),
            (3, 12, 23, 23),
            (3, 23,  9,  9),
            (3,  9, 25, 25),
            (3, 25, 13, 13),
            (3, 13, 24, 24),
            (3, 24,  8,  8),
            (4, 10, 19, 19),
            (4, 19, 15, 15),
            (4, 15, 23, 23),
            (4, 23, 12, 12),
            (4, 12, 22, 22),
            (4, 22, 14, 14),
            (4, 14, 18, 18),
            (4, 18, 10, 10),
            (5, 11, 20, 20),
            (5, 20, 16, 16),
            (5, 16, 24, 24),
            (5, 24, 13, 13),
            (5, 13, 25, 25),
            (5, 25, 17, 17),
            (5, 17, 21, 21),
            (5, 21, 11, 11)]
                        

Faktor = 100   # Skalierungsfaktor
k = 1          # Korrekturfaktor


#************************************************************************
def CreateNullobjekt1():
    obj = c4d.BaseObject(c4d.Onull)
    obj.SetName(Titel)
    obj.Message(c4d.MSG_UPDATE)
    return obj

#************************************************************************
def CreateNullobjekt2():
    obj = c4d.BaseObject(c4d.Onull)
    obj.SetName('Ecken')
    obj.Message(c4d.MSG_UPDATE)
    return obj

#************************************************************************
def CreateNullobjekt3():
    obj = c4d.BaseObject(c4d.Onull)
    obj.SetName('Kanten')
    obj.Message(c4d.MSG_UPDATE)
    return obj

#************************************************************************
def CreateNullobjekt4():
    obj = c4d.BaseObject(c4d.Onull)
    obj.SetName('Polygone')
    obj.Message(c4d.MSG_UPDATE)
    return obj

#************************************************************************
def CreateDreiecke():
    obj = c4d.BaseObject(c4d.Opolygon)
    obj.ResizeObject(NP, N3)
    obj.SetName('Dreiecke')
  # Punkte uebergeben  
    for i in xrange(NP):
        obj.SetPoint(i, c4d.Vector(Punkte[i][0]*Faktor*k, Punkte[i][1]*Faktor*k, Punkte[i][2]*Faktor*k))
  # Dreiecke setzen
    for i in xrange(N3):
        obj.SetPolygon( i, c4d.CPolygon(Dreiecke[i][0], Dreiecke[i][1], Dreiecke[i][2], Dreiecke[i][3]))       

    obj.Message(c4d.MSG_UPDATE)
    return obj

#************************************************************************
def CreateSplineDreiecke():
    obj = c4d.BaseObject(c4d.Ospline)
    obj.SetName("Spline-Dreiecke")
    obj.ResizeObject(N3*3)
    zz = 0
    for i in xrange(N3):
        for j in xrange(3):
            x = Punkte[Dreiecke[i][j]][0]
            y = Punkte[Dreiecke[i][j]][1]
            z = Punkte[Dreiecke[i][j]][2]
            obj.SetPoint(zz, c4d.Vector(x*Faktor*k, y*Faktor*k, z*Faktor*k))
            zz = zz + 1
  # Segmente erzeugen
    obj.MakeVariableTag(c4d.Tsegment, N3)
    for i in range(0, N3):
        obj.SetSegment(i, 3, True)
  # Spline schliessen
    obj[c4d.SPLINEOBJECT_CLOSED] = True

    obj.Message(c4d.MSG_UPDATE)
    return obj

#************************************************************************
def main():
    nullobj1 = CreateNullobjekt1()
    nullobj2 = CreateNullobjekt2()   # Ecken
    nullobj3 = CreateNullobjekt3()   # Kanten
    nullobj4 = CreateNullobjekt4()   # Polygone
    
        
    plyobj1 = CreateDreiecke()   
    splobj1 = CreateSplineDreiecke()   
 
    doc.InsertObject(nullobj1, None, None, True)
    doc.InsertObject(nullobj4, nullobj1, None, True)
    doc.InsertObject(nullobj3, nullobj1, None, True)
    doc.InsertObject(nullobj2, nullobj1, None, True) 

    doc.InsertObject(splobj1, nullobj3, None, True)    
    
    doc.InsertObject(plyobj1, nullobj4, None, True)   
         
  # Kugeln auf Eckpunkte setzen
    for i in range(0, NP):
        obj = c4d.BaseObject(c4d.Osphere)
        obj[c4d.PRIM_SPHERE_RAD] = Radius
        obj.SetName(str(i))            
        x = Punkte[i][0]
        y = Punkte[i][1]
        z = Punkte[i][2]
        obj.SetAbsPos(c4d.Vector(x*Faktor*k, y*Faktor*k, z*Faktor*k))
        doc.InsertObject(obj, nullobj2, None, True)         
         
         
    c4d.EventAdd()



if __name__=='__main__':
    main()