""" Deltoidalhexakontaeder 06.01.2021 www.3d-meier.de http://dmccooey.com/polyhedra/DeltoidalHexecontahedron.html """ import c4d import math # Variablen und Konstanten Titel = 'Deltoidalhexakontaeder' # Name NP = 62 # Anzahl Punkte N4 = 60 # Anzahl Vierecke Radius = 2 # Radius der Eckpunktkugeln C0 = (5 - math.sqrt(5)) / 4 C1 = (15 + math.sqrt(5)) / 22 C2 = math.sqrt(5) / 2 C3 = (5 + math.sqrt(5)) / 6 C4 = (5 + 4 * math.sqrt(5)) / 11 C5 = (5 + math.sqrt(5)) / 4 C6 = (5 + 3 * math.sqrt(5)) / 6 C7 = (25 + 9 * math.sqrt(5)) / 22 C8 = math.sqrt(5) Punkte = [(0.0, 0.0, C8), (0.0, 0.0, -C8), ( C8, 0.0, 0.0), (-C8, 0.0, 0.0), (0.0, C8, 0.0), (0.0, -C8, 0.0), (0.0, C1, C7), (0.0, C1, -C7), (0.0, -C1, C7), (0.0, -C1, -C7), ( C7, 0.0, C1), ( C7, 0.0, -C1), (-C7, 0.0, C1), (-C7, 0.0, -C1), ( C1, C7, 0.0), ( C1, -C7, 0.0), (-C1, C7, 0.0), (-C1, -C7, 0.0), ( C3, 0.0, C6), ( C3, 0.0, -C6), (-C3, 0.0, C6), (-C3, 0.0, -C6), ( C6, C3, 0.0), ( C6, -C3, 0.0), (-C6, C3, 0.0), (-C6, -C3, 0.0), (0.0, C6, C3), (0.0, C6, -C3), (0.0, -C6, C3), (0.0, -C6, -C3), ( C0, C2, C5), ( C0, C2, -C5), ( C0, -C2, C5), ( C0, -C2, -C5), (-C0, C2, C5), (-C0, C2, -C5), (-C0, -C2, C5), (-C0, -C2, -C5), ( C5, C0, C2), ( C5, C0, -C2), ( C5, -C0, C2), ( C5, -C0, -C2), (-C5, C0, C2), (-C5, C0, -C2), (-C5, -C0, C2), (-C5, -C0, -C2), ( C2, C5, C0), ( C2, C5, -C0), ( C2, -C5, C0), ( C2, -C5, -C0), (-C2, C5, C0), (-C2, C5, -C0), (-C2, -C5, C0), (-C2, -C5, -C0), ( C4, C4, C4), ( C4, C4, -C4), ( C4, -C4, C4), ( C4, -C4, -C4), (-C4, C4, C4), (-C4, C4, -C4), (-C4, -C4, C4), (-C4, -C4, -C4)] Vierecke = [( 18, 0, 8, 32 ), ( 18, 32, 56, 40 ), ( 18, 40, 10, 38 ), ( 18, 38, 54, 30 ), ( 18, 30, 6, 0 ), ( 19, 1, 7, 31 ), ( 19, 31, 55, 39 ), ( 19, 39, 11, 41 ), ( 19, 41, 57, 33 ), ( 19, 33, 9, 1 ), ( 20, 0, 6, 34 ), ( 20, 34, 58, 42 ), ( 20, 42, 12, 44 ), ( 20, 44, 60, 36 ), ( 20, 36, 8, 0 ), ( 21, 1, 9, 37 ), ( 21, 37, 61, 45 ), ( 21, 45, 13, 43 ), ( 21, 43, 59, 35 ), ( 21, 35, 7, 1 ), ( 22, 2, 11, 39 ), ( 22, 39, 55, 47 ), ( 22, 47, 14, 46 ), ( 22, 46, 54, 38 ), ( 22, 38, 10, 2 ), ( 23, 2, 10, 40 ), ( 23, 40, 56, 48 ), ( 23, 48, 15, 49 ), ( 23, 49, 57, 41 ), ( 23, 41, 11, 2 ), ( 24, 3, 12, 42 ), ( 24, 42, 58, 50 ), ( 24, 50, 16, 51 ), ( 24, 51, 59, 43 ), ( 24, 43, 13, 3 ), ( 25, 3, 13, 45 ), ( 25, 45, 61, 53 ), ( 25, 53, 17, 52 ), ( 25, 52, 60, 44 ), ( 25, 44, 12, 3 ), ( 26, 4, 16, 50 ), ( 26, 50, 58, 34 ), ( 26, 34, 6, 30 ), ( 26, 30, 54, 46 ), ( 26, 46, 14, 4 ), ( 27, 4, 14, 47 ), ( 27, 47, 55, 31 ), ( 27, 31, 7, 35 ), ( 27, 35, 59, 51 ), ( 27, 51, 16, 4 ), ( 28, 5, 15, 48 ), ( 28, 48, 56, 32 ), ( 28, 32, 8, 36 ), ( 28, 36, 60, 52 ), ( 28, 52, 17, 5 ), ( 29, 5, 17, 53 ), ( 29, 53, 61, 37 ), ( 29, 37, 9, 33 ), ( 29, 33, 57, 49 ), ( 29, 49, 15, 5 )] Faktor = 100 # Skalierungsfaktor k = 1 # Korrekturfaktor #************************************************************************ 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 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 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 main(): nullobj1 = CreateNullobjekt1() nullobj2 = CreateNullobjekt2() # Ecken nullobj3 = CreateNullobjekt3() # Kanten nullobj4 = CreateNullobjekt4() # Polygone plyobj1 = CreateVierecke() splobj1 = CreateSplineVierecke() 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(splobj1, nullobj3, 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()