""" Kachelung 51 10.09.2015 """ import c4d import math # Variablen und Konstanten N = 5 # Anzahl Punkte pro Kante r = 1.0 # Kantenlänge Zwoelfeck und Quadrat riz = 0.5*r*(2 + math.sqrt(3.0)) # Inkreisradius Zwoelfeck h = 0.5 * math.sqrt(3.0) *r # Hoehe Dreieck Abstand_x = 2*riz + 2*h + r Abstand_y = riz + 2*r + 2*h Versatz_x = riz + 0.5*r + h NS = 3 # Anzahl Wiederholungen in eine Richtung if NS%2 ==0: # nur ungerade NS zulassen NS = NS +1 Faktor = 1000 # Skalierungsfaktor Zwoelfeck = [] Viereck1 = [] Viereck2 = [] Sexeck = [] Dreieck1 = [] Dreieck2 = [] #Inversion = True Inversion = False def Invers(z): return 1/z def CreateNullobjekt(): obj = c4d.BaseObject(c4d.Onull) # Nullobjekt erzeugen obj.SetName("Kachelung 51") obj.Message(c4d.MSG_UPDATE) return obj def Drehung(z, Grad): Winkel = Grad * math.pi/180 x = z.real y = z.imag x1 = math.cos(Winkel) * x + math.sin(Winkel) * y y1 = -math.sin(Winkel) * x + math.cos(Winkel) * y return complex(x1, y1) # Quadrate 1 ************************************************************************** def CreateSplineObjectQ1(): # Splineobjekte erzeugen obj = c4d.BaseObject(c4d.Ospline) obj.ResizeObject(N*4*(2*NS+1)*(2*NS+1)*6) dt= r/N # Unterteilung Kante zz = 0 # Zaehler Punkte # Quadratdaten erzeugen for i in range(0,N): z = complex(-0.5 * r + i * dt, -0.5 * r) Viereck1.append(z) for i in range(0,N): z = complex(0.5 * r, -0.5 * r + i * dt) Viereck1.append(z) for i in range(0,N): z = complex(0.5 * r - i * dt, 0.5 * r) Viereck1.append(z) for i in range(0,N): z = complex(-0.5 * r, 0.5 * r - i * dt) Viereck1.append(z) # Quadrat positionieren for i in range(0,4*N): Viereck1[i] = Viereck1[i] + complex(0, riz + 0.5*r) # Viereck duplizieren und drehen for k in range(1,6): for i in range(0,4*N): z = Drehung(Viereck1[i], -60*k) Viereck1.append(z) for k in range(0,2*NS+1): y0 = -Abstand_y*NS + k*Abstand_y for j in range(0,2*NS+1): if k%2 == 0.0: x0 = -Abstand_x*NS + j*Abstand_x + Versatz_x else: x0 = -Abstand_x*NS + j*Abstand_x for i in range(0,4*N*6): z = Viereck1[i] + complex(x0, y0) if Inversion: z = Invers(z) obj.SetPoint(zz, c4d.Vector(z.real*Faktor, z.imag*Faktor, 0.0)) zz = zz + 1 obj.MakeVariableTag(c4d.Tsegment, (2*NS+1)*(2*NS+1)*6) for i in range(0, (2*NS+1)*(2*NS+1)*6): obj.SetSegment(i, 4*N, True) obj[c4d.SPLINEOBJECT_CLOSED] = True obj.SetName("Vierecke 1") obj.Message(c4d.MSG_UPDATE) return obj # Quadrate 2 ************************************************************************** def CreateSplineObjectQ2(): # Splineobjekte erzeugen obj = c4d.BaseObject(c4d.Ospline) obj.ResizeObject(N*4*(2*NS+1)*(2*NS+1)*6) dt= r/N # Unterteilung Kante zz = 0 # Zaehler Punkte # Quadratdaten erzeugen for i in range(0,N): z = complex(-0.5 * r + i * dt, -0.5 * r) Viereck2.append(z) for i in range(0,N): z = complex(0.5 * r, -0.5 * r + i * dt) Viereck2.append(z) for i in range(0,N): z = complex(0.5 * r - i * dt, 0.5 * r) Viereck2.append(z) for i in range(0,N): z = complex(-0.5 * r, 0.5 * r - i * dt) Viereck2.append(z) # Quadrat positionieren for i in range(0,4*N): Viereck2[i] = Viereck2[i] + complex(0, -h - 0.5*r) # Viereck duplizieren und drehen for k in range(1,3): for i in range(0,4*N): z = Drehung(Viereck2[i], -120*k) Viereck2.append(z) # Vierecke verschieben for i in range(0,4*N*3): Viereck2[i] = Viereck2[i] + complex(riz + h + 0.5*r, r + h) # Vierecke spiegeln for i in range(0,4*N*3): z = complex(Viereck2[i].real, -Viereck2[i].imag) Viereck2.append(z) for k in range(0,2*NS+1): y0 = -Abstand_y*NS + k*Abstand_y for j in range(0,2*NS+1): if k%2 == 0.0: x0 = -Abstand_x*NS + j*Abstand_x + Versatz_x else: x0 = -Abstand_x*NS + j*Abstand_x for i in range(0,4*N*6): z = Viereck2[i] + complex(x0, y0) if Inversion: z = Invers(z) obj.SetPoint(zz, c4d.Vector(z.real*Faktor, z.imag*Faktor, 0.0)) zz = zz + 1 obj.MakeVariableTag(c4d.Tsegment, (2*NS+1)*(2*NS+1)*6) for i in range(0, (2*NS+1)*(2*NS+1)*6): obj.SetSegment(i, 4*N, True) obj[c4d.SPLINEOBJECT_CLOSED] = True obj.SetName("Vierecke 2") obj.Message(c4d.MSG_UPDATE) return obj # Sechsecke **************************************************************************** def CreateSplineObjectS(): # Splineobjekte erzeugen obj2 = c4d.BaseObject(c4d.Ospline) obj2.ResizeObject(N*6*(2*NS+1)*(2*NS+1)*2) dt= r/N # Unterteilung Kante zz = 0 # Zaehler Punkte # Sechseckdaten erzeugen for i in range(0,N): z = complex(-0.5 * r + i * dt, -h) Sexeck.append(z) for k in range(1,6): for j in range(0,N): z = Drehung(Sexeck[j], -60*k) Sexeck.append(z) # Sechseck verschieben for i in range(0,6*N): Sexeck[i] = Sexeck[i] + complex(riz + h + 0.5*r, r + h) # Sechseck spiegeln for i in range(0,6*N): z = complex(Sexeck[i].real, -Sexeck[i].imag) Sexeck.append(z) for k in range(0,2*NS+1): y0 = -Abstand_y*NS + k*Abstand_y for j in range(0,2*NS+1): if k%2 == 0.0: x0 = -Abstand_x*NS + j*Abstand_x + Versatz_x else: x0 = -Abstand_x*NS + j*Abstand_x for i in range(0,6*N*2): z = Sexeck[i] + complex(x0, y0) if Inversion: z = Invers(z) obj2.SetPoint(zz, c4d.Vector(z.real*Faktor, z.imag*Faktor, 0.0)) zz = zz + 1 obj2.MakeVariableTag(c4d.Tsegment, (2*NS+1)*(2*NS+1)*2) for i in range(0, (2*NS+1)*(2*NS+1)*2): obj2.SetSegment(i, 6*N, True) obj2[c4d.SPLINEOBJECT_CLOSED] = True obj2.SetName("Sechsecke") obj2.Message(c4d.MSG_UPDATE) return obj2 # Zwoelfecke **************************************************************************** def CreateSplineObjectZ(): # Splineobjekte erzeugen obj1 = c4d.BaseObject(c4d.Ospline) obj1.ResizeObject(N*12*(2*NS+1)*(2*NS+1)) dt= r/N # Unterteilung Kante zz = 0 # Zaehler Punkte # Zwölfeckdaten erzeugen for i in range(0,N): z = complex(-0.5 * r + i * dt, -riz) Zwoelfeck.append(z) for k in range(1,12): for j in range(0,N): z = Drehung(Zwoelfeck[j], -30*k) Zwoelfeck.append(z) for k in range(0,2*NS+1): y0 = -Abstand_y*NS + k*Abstand_y for j in range(0,2*NS+1): if k%2 == 0.0: x0 = -Abstand_x*NS + j*Abstand_x + Versatz_x else: x0 = -Abstand_x*NS + j*Abstand_x for i in range(0,12*N): z = Zwoelfeck[i] + complex(x0, y0) if Inversion: z = Invers(z) obj1.SetPoint(zz, c4d.Vector(z.real*Faktor, z.imag*Faktor, 0.0)) zz = zz + 1 obj1.MakeVariableTag(c4d.Tsegment, (2*NS+1)*(2*NS+1)) for i in range(0, (2*NS+1)*(2*NS+1)): obj1.SetSegment(i, 12*N, True) obj1[c4d.SPLINEOBJECT_CLOSED] = True obj1.SetName("Zwölfecke") obj1.Message(c4d.MSG_UPDATE) return obj1 # Dreiecke 1 ************************************************************************** def CreateSplineObjectD1(): obj = c4d.BaseObject(c4d.Ospline) # Splineobjekt erzeugen obj.ResizeObject(N*3*(2*NS+1)*(2*NS+1)*6) dt= r/N zz = 0 # Zaehler Punkte # Dreiecksdaten erzeugen for i in range(0,N): z = complex(riz, 0.5 * r - i * dt) Dreieck1.append(z) for i in range(0,N): z = complex(i * dt, 0) z = Drehung(z, -30) + complex(riz, -0.5*r) Dreieck1.append(z) for i in range(0,N): z = complex(i * dt, 0) z = Drehung(z, -150) + complex(riz + h, 0) Dreieck1.append(z) # Dreieck duplizieren und drehen for k in range(1,6): for i in range(0,3*N): z = Drehung(Dreieck1[i], -60*k) Dreieck1.append(z) for k in range(0,2*NS+1): y0 = -Abstand_y*NS + k*Abstand_y for j in range(0,2*NS+1): if k%2 == 0.0: x0 = -Abstand_x*NS + j*Abstand_x + Versatz_x else: x0 = -Abstand_x*NS + j*Abstand_x for i in range(0,3*N*6): z = Dreieck1[i] + complex(x0, y0) if Inversion: z = Invers(z) obj.SetPoint(zz, c4d.Vector(z.real*Faktor, z.imag*Faktor, 0.0)) zz = zz + 1 obj.MakeVariableTag(c4d.Tsegment, (2*NS+1)*(2*NS+1)*6) for i in range(0, (2*NS+1)*(2*NS+1)*6): obj.SetSegment(i, 3*N, True) obj[c4d.SPLINEOBJECT_CLOSED] = True obj.SetName("Dreiecke 1") obj.Message(c4d.MSG_UPDATE) return obj # Dreiecke 2 ************************************************************************** def CreateSplineObjectD2(): obj = c4d.BaseObject(c4d.Ospline) # Splineobjekt erzeugen obj.ResizeObject(N*3*(2*NS+1)*(2*NS+1)*12) dt= r/N zz = 0 # Zaehler Punkte # Dreiecksdaten erzeugen for i in range(0,N): z = complex(0, 0.5 * r - i * dt) Dreieck2.append(z) for i in range(0,N): z = complex(i * dt, 0) z = Drehung(z, -30) + complex(0, -0.5*r) Dreieck2.append(z) for i in range(0,N): z = complex(i * dt, 0) z = Drehung(z, -150) + complex(h, 0) Dreieck2.append(z) # Dreieck verschieben for i in range(0,3*N): Dreieck2[i] = Dreieck2[i] + complex(-riz - h, 0.5*r) # Dreieck spiegeln for i in range(0,3*N): z = complex(Dreieck2[i].real, -Dreieck2[i].imag) Dreieck2.append(z) # Dreieck duplizieren und drehen for k in range(1,6): for i in range(0,6*N): z = Drehung(Dreieck2[i], -60*k) Dreieck2.append(z) for k in range(0,2*NS+1): y0 = -Abstand_y*NS + k*Abstand_y for j in range(0,2*NS+1): if k%2 == 0.0: x0 = -Abstand_x*NS + j*Abstand_x + Versatz_x else: x0 = -Abstand_x*NS + j*Abstand_x for i in range(0,3*N*12): z = Dreieck2[i] + complex(x0, y0) if Inversion: z = Invers(z) obj.SetPoint(zz, c4d.Vector(z.real*Faktor, z.imag*Faktor, 0.0)) zz = zz + 1 obj.MakeVariableTag(c4d.Tsegment, (2*NS+1)*(2*NS+1)*12) for i in range(0, (2*NS+1)*(2*NS+1)*12): obj.SetSegment(i, 3*N, True) obj[c4d.SPLINEOBJECT_CLOSED] = True obj.SetName("Dreiecke 2") obj.Message(c4d.MSG_UPDATE) return obj def main(): nullobj = CreateNullobjekt() slinobj1 = CreateSplineObjectZ() slinobj2 = CreateSplineObjectS() slinobj3 = CreateSplineObjectQ1() slinobj4 = CreateSplineObjectQ2() slinobj5 = CreateSplineObjectD1() slinobj6 = CreateSplineObjectD2() doc.InsertObject(nullobj, None, None, True) doc.InsertObject(slinobj6, nullobj, None, True) doc.InsertObject(slinobj5, nullobj, None, True) doc.InsertObject(slinobj4, nullobj, None, True) doc.InsertObject(slinobj3, nullobj, None, True) doc.InsertObject(slinobj2, nullobj, None, True) doc.InsertObject(slinobj1, nullobj, None, True) c4d.EventAdd() if __name__=='__main__': main()