"""
Johnson Körperr J47
22.02.2021
www.3d-meier.de
http://dmccooey.com/polyhedra/GyroelongatedPentagonalCupolarotunda.html
"""

import c4d
import math

# Variablen und Konstanten
Titel = 'Johnson Körper J47' # Name

NP = 35   # Anzahl Punkte
N3 = 35   # Anzahl Dreiecke
N4 = 5    # Anzahl Vierecke
N5 = 7    # Anzahl Fuenfecke


Radius = 2 # Radius der Eckpunktkugeln

C0  = math.sqrt(10 * (5 - math.sqrt(5))) / 20
C1  = math.sqrt(10 * (5 + math.sqrt(5))) / 20
C2  = math.sqrt(2 * (math.sqrt(2 * (25 + 11 * math.sqrt(5))) - 2 * math.sqrt(5) - 4)) / 4
C3  = math.sqrt(5 * (5 + 2 * math.sqrt(5))) / 10
C4  = (1 + math.sqrt(5)) / 4
C5  = math.sqrt(10 * (5 + math.sqrt(5))) / 10
C6  = math.sqrt(2 * (5 + math.sqrt(5))) / 4
C7  = (2 * math.sqrt(10 * (5 - math.sqrt(5))) + 5 * math.sqrt(2 * (math.sqrt(2 * (25 + 11 * math.sqrt(5))) - 2 * math.sqrt(5) - 4))) / 20
C8  = math.sqrt(10 * (25 + 11 * math.sqrt(5))) / 20
C9  = (2 * math.sqrt(10 * (5 + math.sqrt(5))) + 5 * math.sqrt(2 * (math.sqrt(2 * (25 + 11 * math.sqrt(5))) - 2 * math.sqrt(5) - 4))) / 20
C10 = (3 + math.sqrt(5)) / 4
C11 = math.sqrt(5 * (5 + 2 * math.sqrt(5))) / 5
C12 = math.sqrt(5 + 2 * math.sqrt(5)) / 2
C13 = (1 + math.sqrt(5)) / 2
C14 = (4 * math.sqrt(5 * (5 + 2 * math.sqrt(5))) + 5 * math.sqrt(2 * (math.sqrt(2 * (25 + 11 * math.sqrt(5))) - 2 * math.sqrt(5) - 4))) / 20

Punkte = [( C13,  C2,  0.0),
          (-C13,  C2,  0.0),
          ( 0.0, -C2,  C13),
          ( 0.0, -C2, -C13),
          ( 0.5,  C2,  C12),
          ( 0.5,  C2, -C12),
          (-0.5,  C2,  C12),
          (-0.5,  C2, -C12),
          ( C12, -C2,  0.5),
          ( C12, -C2, -0.5),
          (-C12, -C2,  0.5),
          (-C12, -C2, -0.5),
          ( C10,  C2,   C6),
          ( C10,  C2,  -C6),
          (-C10,  C2,   C6),
          (-C10,  C2,  -C6),
          (  C6, -C2,  C10),
          (  C6, -C2, -C10),
          ( -C6, -C2,  C10),
          ( -C6, -C2, -C10),
          (  C4, C14,   C0),
          ( -C4, C14,   C0),
          ( 0.5, C14,  -C3),
          (-0.5, C14,  -C3),
          ( 0.0, C14,   C5),
          ( C10,  C9,  -C1),
          (-C10,  C9,  -C1),
          (  C4,  C9,   C8),
          ( -C4,  C9,   C8),
          ( 0.0,  C9, -C11),
          (  C0, -C7,   C4),
          (  C0, -C7,  -C4),
          ( -C3, -C7,  0.5),
          ( -C3, -C7, -0.5),
          (  C5, -C7,  0.0)]


Dreiecke = [(  2, 18,  6,  6 ),
            (  8, 16, 12, 12 ),
            ( 17,  9, 13, 13 ),
            ( 19,  3,  7,  7 ),
            ( 10, 11,  1,  1 ),
            (  2,  6,  4,  4 ),
            (  8, 12,  0,  0 ),
            ( 17, 13,  5,  5 ),
            ( 19,  7, 15, 15 ),
            ( 10,  1, 14, 14 ),
            (  2,  4, 16, 16 ),
            (  8,  0,  9,  9 ),
            ( 17,  5,  3,  3 ),
            ( 19, 15, 11, 11 ),
            ( 10, 14, 18, 18 ),
            (  2, 16, 30, 30 ),
            (  8,  9, 34, 34 ),
            ( 17,  3, 31, 31 ),
            ( 19, 11, 33, 33 ),
            ( 10, 18, 32, 32 ),
            (  0, 25, 13, 13 ),
            (  4, 27, 12, 12 ),
            ( 14, 28,  6,  6 ),
            ( 15, 26,  1,  1 ),
            (  5, 29,  7,  7 ),
            (  0, 13,  9,  9 ),
            (  4, 12, 16, 16 ),
            ( 14,  6, 18, 18 ),
            ( 15,  1, 11, 11 ),
            (  5,  7,  3,  3 ),
            ( 20, 22, 25, 25 ),
            ( 24, 20, 27, 27 ),
            ( 21, 24, 28, 28 ),
            ( 23, 21, 26, 26 ),
            ( 22, 23, 29, 29 )] 

Vierecke = [(  2, 30, 32, 18 ),
            (  8, 34, 30, 16 ),
            ( 17, 31, 34,  9 ),
            ( 19, 33, 31,  3 ),
            ( 10, 32, 33, 11 )] 

Fuenfecke = [( 20, 24, 21, 23, 22 ),
             ( 30, 34, 31, 33, 32 ),
             (  0, 12, 27, 20, 25 ),
             (  4,  6, 28, 24, 27 ),
             ( 14,  1, 26, 21, 28 ),
             ( 15,  7, 29, 23, 26 ),
             (  5, 13, 25, 22, 29 )]

Faktor = 100      # Skalierungsfaktor
k = 1             # Korrekturfaktor fuer Kantenlaenge 1


#************************************************************************
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 CreateVierecke():
    obj = c4d.BaseObject(c4d.Opolygon)
    obj.ResizeObject(NP, N4)
    obj.SetName('Vierecke')
  # 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))
  # Vierecke setzen
    for i in xrange(N4):
        obj.SetPolygon(i, c4d.CPolygon(Vierecke[i][0], Vierecke[i][1], Vierecke[i][2], Vierecke[i][3]))

    obj.Message(c4d.MSG_UPDATE)
    return obj

#************************************************************************
def CreateFuenfecke():
    obj = c4d.BaseObject(c4d.Opolygon)
    obj.ResizeObject(NP, N5*2)
    obj.SetName('Fünfecke')
  # 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))
    zz = 0 # Zaehler fuer Polygone zuruecksetzen
    for i in xrange(N5):
        obj.SetPolygon(zz, c4d.CPolygon(Fuenfecke[i][0], Fuenfecke[i][1], Fuenfecke[i][2], Fuenfecke[i][4]))
        zz = zz + 1
        obj.SetPolygon(zz, c4d.CPolygon(Fuenfecke[i][2], Fuenfecke[i][3], Fuenfecke[i][4], Fuenfecke[i][4]))
        zz = zz + 1

    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 CreateSplineVierecke():
    obj = c4d.BaseObject(c4d.Ospline)
    obj.SetName("Spline-Vierecke")
    obj.ResizeObject(N4*4)
    zz = 0
    for i in xrange(N4):
        for j in xrange(4):
            x = Punkte[Vierecke[i][j]][0]
            y = Punkte[Vierecke[i][j]][1]
            z = Punkte[Vierecke[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, N4)
    for i in range(0, N4):
        obj.SetSegment(i, 4, True)
  # Spline schliessen
    obj[c4d.SPLINEOBJECT_CLOSED] = True

    obj.Message(c4d.MSG_UPDATE)
    return obj


#************************************************************************
def CreateSplineFuenfecke():
    obj = c4d.BaseObject(c4d.Ospline)
    obj.SetName("Spline-Fünfecke")
    obj.ResizeObject(N5*5)
    zz = 0
    for i in xrange(N5):
        for j in xrange(5):
            x = Punkte[Fuenfecke[i][j]][0]
            y = Punkte[Fuenfecke[i][j]][1]
            z = Punkte[Fuenfecke[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, N5)
    for i in range(0, N5):
        obj.SetSegment(i, 5, 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()
    plyobj2 = CreateVierecke()
    plyobj3 = CreateFuenfecke()

    splobj1 = CreateSplineDreiecke()
    splobj2 = CreateSplineVierecke()
    splobj3 = CreateSplineFuenfecke()
    
    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(splobj3, nullobj3, None, True)
    doc.InsertObject(splobj2, nullobj3, None, True)
    doc.InsertObject(splobj1, nullobj3, None, True)
 
    doc.InsertObject(plyobj3, nullobj4, None, True)
    doc.InsertObject(plyobj2, nullobj4, 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()