""" Kachelung 52 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 = 6*h + r Abstand_y = 4.5*r + h Versatz_x = 0.5*r + 3*h 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 = [] #Inversion = True Inversion = False def Invers(z): return 1/z def CreateNullobjekt(): obj = c4d.BaseObject(c4d.Onull) # Nullobjekt erzeugen obj.SetName("Kachelung 52") 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) # 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 k in range(0,6*N): Sexeck2[k] = Drehung(Sexeck2[k], 30) + complex(2*h, 0) # Sechseck 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 # Vierecke ******************************************************************** def CreateSplineObjectQ(): obj = c4d.BaseObject(c4d.Ospline) # Splineobjekt erzeugen obj.ResizeObject(N*4*(2*NS+1)*(2*NS+1)*9) dt= r/N zz = 0 # Zaehler Punkte # Viereckssdaten erzeugen for i in range(0,N): z = complex(3*h + i * dt, -0.5 * r) Viereck.append(z) for i in range(0,N): z = complex(3*h + r, -0.5 * r + i * dt) Viereck.append(z) for i in range(0,N): z = complex(3*h + r - i * dt, 0.5 * r) Viereck.append(z) for i in range(0,N): z = complex(3*h, 0.5 * r - i * dt) Viereck.append(z) # Viereck duplizieren und verschieben for i in range(0,4*N): z = Viereck[i] + complex(0, r) Viereck.append(z) for i in range(0,4*N): z = Viereck[i] + complex(0, -r) Viereck.append(z) # Vierecke duplizieren und drehen for j in range(0,4*N*3): z = Drehung(Viereck[j], -60) Viereck.append(z) for j in range(0,4*N*3): z = Drehung(Viereck[j], 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*9): 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)*9) for i in range(0, (2*NS+1)*(2*NS+1)*9): 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 obj = c4d.BaseObject(c4d.Ospline) obj.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) 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)) for i in range(0, (2*NS+1)*(2*NS+1)): obj.SetSegment(i, 6*N, True) obj[c4d.SPLINEOBJECT_CLOSED] = True obj.SetName("Sechsecke 1") 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)*12) dt= r/N zz = 0 # Zaehler Punkte # Dreiecksdaten erzeugen for i in range(0,N): z = complex(0, 0.5 * r - i * dt) Dreieck1.append(z) for i in range(0,N): z = complex(i * dt, 0) z = Drehung(z, -30) + complex(0, -0.5*r) Dreieck1.append(z) for i in range(0,N): z = complex(i * dt, 0) z = Drehung(z, -150) + complex(h, 0) Dreieck1.append(z) # Dreieck spiegeln for i in range(0,3*N): z = complex(-Dreieck1[i].real, Dreieck1[i].imag) Dreieck1.append(z) # Dreiecke verschieben for i in range(0,3*N*2): Dreieck1[i] = Dreieck1[i] + complex(0, 2.5*r) # Dreiecke duplizieren und drehen for i in range(1,6): for j in range(0,3*N*2): 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*12): 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)*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 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)*2) 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(3*h + 0.5*r, 1.5*r) # Dreieck spiegeln for i in range(0,3*N): z = complex(Dreieck2[i].real, -Dreieck2[i].imag) 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*2): 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)*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 2") obj.Message(c4d.MSG_UPDATE) return obj def main(): nullobj = CreateNullobjekt() slinobj1 = CreateSplineObjectS1() slinobj2 = CreateSplineObjectS2() slinobj3 = CreateSplineObjectQ() slinobj4 = CreateSplineObjectD1() slinobj5 = CreateSplineObjectD2() doc.InsertObject(nullobj, None, 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()