""" Kachelung 56 10.09.2015 """ import c4d import math # Variablen und Konstanten N = 5 # Anzahl Punkte pro Kante r = 1.0 # Kantenlaenge h = 0.5*math.sqrt(3.0) *r # Hoehe Dreieck Abstand_x = 2*h + 5*r Abstand_y = 5*h + 1.5*r Versatz_x = h + 2.5*r NS = 3 # Anzahl Wiederholungen in einer Richtung if NS%2 ==0: # nur ungerade NS zulassen NS = NS +1 Faktor = 1000 # Skalierungsfaktor Viereck = [] Sexeck1 = [] Sexeck2 = [] Dreieck1 = [] Dreieck2 = [] Dreieck3 = [] #Inversion = True Inversion = False def Invers(z): return 1/z def CreateNullobjekt(): obj = c4d.BaseObject(c4d.Onull) # Nullobjekt erzeugen obj.SetName("Kachelung 56") 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) # Vierecke ******************************************************************** def CreateSplineObjectQ(): obj = c4d.BaseObject(c4d.Ospline) # Splineobjekt erzeugen obj.ResizeObject(N*4*(2*NS+1)*(2*NS+1)*15) dt= r/N zz = 0 # Zaehler Punkte # Viereckssdaten erzeugen for i in range(0,N): z = complex(h + i * dt, -0.5 * r) Viereck.append(z) for i in range(0,N): z = complex(h + r, -0.5 * r + i * dt) Viereck.append(z) for i in range(0,N): z = complex(h + r - i * dt, 0.5 * r) Viereck.append(z) for i in range(0,N): z = complex(h, 0.5 * r - i * dt) Viereck.append(z) # Viereck duplizieren und verschieben for i in range(0,4*N): z = Viereck[i] + complex(r, 0) Viereck.append(z) for i in range(0,4*N): z = Viereck[i] + complex(2*r, 0) Viereck.append(z) for i in range(0,4*N): z = Viereck[i] + complex(3*r, 0) Viereck.append(z) for i in range(0,4*N): z = Viereck[i] + complex(4*r, 0) Viereck.append(z) # Viereck duplizieren und drehen for i in range(0,4*N*5): z = Drehung(Viereck[i], -60) Viereck.append(z) for i in range(0,4*N*5): z = Drehung(Viereck[i], 60) Viereck.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*15): z = Viereck[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)*15) for i in range(0, (2*NS+1)*(2*NS+1)*15): obj.SetSegment(i, 4*N, True) obj[c4d.SPLINEOBJECT_CLOSED] = True obj.SetName("Vierecke") obj.Message(c4d.MSG_UPDATE) return obj # Sechsecke 1 ********************************************************************** def CreateSplineObjectS1(): # Splineobjekte erzeugen obj2 = c4d.BaseObject(c4d.Ospline) obj2.ResizeObject(N*6*(2*NS+1)*(2*NS+1)) 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) Sexeck1.append(z) for k in range(1,6): for j in range(0,N): z = Drehung(Sexeck1[j], -60*k) Sexeck1.append(z) for k in range(0,6*N): Sexeck1[k] = Drehung(Sexeck1[k], 30) 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): z = Sexeck1[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)) for i in range(0, (2*NS+1)*(2*NS+1)): obj2.SetSegment(i, 6*N, True) obj2[c4d.SPLINEOBJECT_CLOSED] = True obj2.SetName("Sechsecke 1") obj2.Message(c4d.MSG_UPDATE) return obj2 # Sechsecke 2 ********************************************************* def CreateSplineObjectS2(): # Splineobjekte erzeugen obj = c4d.BaseObject(c4d.Ospline) obj.ResizeObject(N*6*(2*NS+1)*(2*NS+1)*6) 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) Sexeck2.append(z) for k in range(1,6): for j in range(0,N): z = Drehung(Sexeck2[j], -60*k) Sexeck2.append(z) for i in range(0,6*N): Sexeck2[i] = Sexeck2[i] + complex(h + r + 0.5*r, 0.5*r + h) # Sechsecke duplizieren und drehen for i in range(1,6): for j in range(0,6*N): z = Drehung(Sexeck2[j], -60*i) Sexeck2.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*6): z = Sexeck2[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, 6*N, True) obj[c4d.SPLINEOBJECT_CLOSED] = True obj.SetName("Sechsecke 2") obj.Message(c4d.MSG_UPDATE) return obj # 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(-0.5 * r + i * dt, -r-h) Dreieck1.append(z) for i in range(0,N): z = complex(i * dt, 0) z = Drehung(z, -120) + complex(0.5*r, -r-h) Dreieck1.append(z) for i in range(0,N): z = complex(i * dt, 0) z = Drehung(z, 120) + complex(0, h-r-h) Dreieck1.append(z) for i in range(1,6): for j in range(0,3*N): z = Drehung(Dreieck1[j], -60*i) 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)*6) dt= r/N zz = 0 # Zaehler Punkte # Dreiecksdaten erzeugen for i in range(0,N): z = complex(-0.5*r + i * dt, 0) Dreieck2.append(z) for i in range(0,N): z = complex(i * dt, 0) z = Drehung(z, -120) + complex(0.5*r, 0) Dreieck2.append(z) for i in range(0,N): z = complex(i * dt, 0) z = Drehung(z, 120) + complex(0, h) Dreieck2.append(z) # Dreieck verschieben for i in range(0,3*N): Dreieck2[i] = Dreieck2[i] + complex(h + 2.5*r, 0.5*r) # Dreieck spiegeln z = complex(Dreieck2[i].real, -Dreieck2[i].imag) Dreieck2.append(z) # Dreieck duplizieren und drehen for i in range(0,3*N*2): z = Drehung(Dreieck2[i], 60) Dreieck2.append(z) for i in range(0,3*N*2): z = Drehung(Dreieck2[i], -60) 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*6): 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)*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 2") obj.Message(c4d.MSG_UPDATE) return obj # Dreiecke 3 ********************************************************************* def CreateSplineObjectD3(): obj = c4d.BaseObject(c4d.Ospline) # Splineobjekt erzeugen obj.ResizeObject(N*3*(2*NS+1)*(2*NS+1)*2) dt= r/N zz = 0 # Zaehler Punkte # Dreiecksdaten erzeugen for i in range(0,N): z = complex(-0.5*r + i * dt, 0) Dreieck3.append(z) for i in range(0,N): z = complex(i * dt, 0) z = Drehung(z, -120) + complex(0.5*r, 0) Dreieck3.append(z) for i in range(0,N): z = complex(i * dt, 0) z = Drehung(z, 120) + complex(0, h) Dreieck3.append(z) # Dreieck verschieben for i in range(0,3*N): Dreieck3[i] = Dreieck3[i] + complex(h + 2.5*r, -0.5*r - 2*h) # Dreieck spiegeln z = complex(Dreieck3[i].real, -Dreieck3[i].imag) Dreieck3.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*2): z = Dreieck3[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)*2) for i in range(0, (2*NS+1)*(2*NS+1)*2): obj.SetSegment(i, 3*N, True) obj[c4d.SPLINEOBJECT_CLOSED] = True obj.SetName("Dreiecke 3") obj.Message(c4d.MSG_UPDATE) return obj def main(): nullobj = CreateNullobjekt() slinobj1 = CreateSplineObjectD1() slinobj2 = CreateSplineObjectQ() slinobj3 = CreateSplineObjectS2() slinobj4 = CreateSplineObjectS1() slinobj5 = CreateSplineObjectD2() slinobj6 = CreateSplineObjectD3() doc.InsertObject(nullobj, None, None, True) doc.InsertObject(slinobj6, nullobj, None, True) doc.InsertObject(slinobj5, nullobj, None, True) doc.InsertObject(slinobj1, nullobj, None, True) doc.InsertObject(slinobj2, nullobj, None, True) doc.InsertObject(slinobj3, nullobj, None, True) doc.InsertObject(slinobj4, nullobj, None, True) c4d.EventAdd() if __name__=='__main__': main()