""" Kachelung 55 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*r Abstand_y = riz + 0.5*r + 3*h Versatz_x = riz + r NS = 3 # Anzahl Wiederholungen in eine Richtung if NS%2 ==0: # nur ungerade NS zulassen NS = NS +1 Faktor = 1000 # Skalierungsfaktor Zwoelfeck = [] Viereck1 = [] 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 55") 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(riz + 0.5*r, 0) # 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 # 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 drehen for i in range(0,3*N): Dreieck1[i] = Drehung(Dreieck1[i], -30) # 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) # Dreiecke drehen for i in range(0,6*N): Dreieck2[i] = Drehung(Dreieck2[i], -30) # 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 # Dreiecke 3 ************************************************************************** def CreateSplineObjectD3(): obj = c4d.BaseObject(c4d.Ospline) # Splineobjekt erzeugen obj.ResizeObject(N*3*(2*NS+1)*(2*NS+1)*8) 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 spiegeln for i in range(0,3*N): z = complex(Dreieck3[i].real, -Dreieck3[i].imag) Dreieck3.append(z) # Dreieck duplizieren, drehen und verschieben for i in range(0,3*N): z = Drehung(Dreieck3[i] - complex(0.5*r,0), 60) + complex(0.5*r, 0) Dreieck3.append(z) for i in range(0,3*N): z = Drehung(Dreieck3[i] - complex(-0.5*r,0), -60) + complex(-0.5*r, 0) Dreieck3.append(z) # Dreiecke verschieben for i in range(0,3*N*4): Dreieck3[i] = Dreieck3[i] + complex(riz + r, 0.5*r + h) # Dreieck spiegeln for i in range(0,3*N*4): 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*8): 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)*8) for i in range(0, (2*NS+1)*(2*NS+1)*8): 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 = CreateSplineObjectZ() slinobj2 = CreateSplineObjectQ1() slinobj3 = CreateSplineObjectD1() slinobj4 = CreateSplineObjectD2() slinobj5 = CreateSplineObjectD3() 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()