add_mesh_geodesic_domes/geodesic_classes_271.py

   1 from .vefm_271 import mesh, vertex, edge, face
   2 from math import pi, acos, sin, cos, atan, tan, fabs, sqrt
   3
   4
   5 def check_contains(cl, name, print_value=False):
   6     dir_class = dir(cl)
   7     for el in dir_class:
   8         if el.startswith("_"):
   9             pass
  10         else:
  11             if print_value:
  12                 tmp = getattr(cl, el)
  13                 print(name, " contains ==>", el, " value = ", tmp)
  14             else:
  15                 print(name, " contains ==>", el)
  16     print("\ncheck_contains finished\n\n")
  17
  18
  19 class geodesic(mesh):
  20
  21     def __init__(self):
  22         mesh.__init__(self)
  23         self.PKHG_parameters = None
  24
  25         self.panels = []
  26         self.vertsdone = []
  27         self.skeleton = []      # List of verts in the full skeleton edges.
  28         self.vertskeleton = []  # config needs this member
  29         self.edgeskeleton = []  # config needs this member
  30         self.sphericalverts = []
  31         self.a45 = pi * 0.25
  32         self.a90 = pi * 0.5
  33         self.a180 = pi
  34         self.a270 = pi * 1.5
  35         self.a360 = pi * 2
  36         # define members here
  37         # setparams needs:
  38         self.frequency = None
  39         self.eccentricity = None
  40         self.squish = None
  41         self.radius = None
  42         self.square = None
  43         self.squarez = None
  44         self.cart = None
  45         self.shape = None
  46         self.baselevel = None
  47         self.faceshape = None
  48         self.dualflag = None
  49         self.rotxy = None
  50         self.rotz = None
  51         self.klass = None
  52         self.sform = None
  53         self.super = None
  54         self.odd = None
  55         # config needs
  56         self.panelpoints = None
  57         self.paneledges = None
  58         self.reversepanel = None
  59         self.edgelength = None
  60         self.vertsdone = None
  61         self.panels = []
  62
  63     def setparameters(self, params):
  64         parameters = self.PKHG_parameters = params
  65         self.frequency = parameters[0]     # How many subdivisions - up to 20.
  66         self.eccentricity = parameters[1]  # Elliptical if >1.0.
  67         self.squish = parameters[2]        # Flattened if < 1.0.
  68         self.radius = parameters[3]        # Exactly what it says.
  69         self.square = parameters[4]        # Controls amount of superellipse in X/Y plane.
  70         self.squarez = parameters[5]       # Controls amount of superellipse in Z dimension.
  71         self.cart = parameters[6]          # Cuts out sphericalisation step.
  72         self.shape = parameters[7]         # Full sphere, dome, flatbase.
  73         self.baselevel = parameters[8]     # Where the base is cut on a flatbase dome.
  74         self.faceshape = parameters[9]     # Triangular, hexagonal, tri-hex.
  75         self.dualflag = parameters[10]
  76         self.rotxy = parameters[11]
  77         self.rotz = parameters[12]
  78         self.klass = parameters[13]
  79         self.sform = parameters[14]
  80         self.super = 0                  # Toggles superellipse.
  81         if self.square != 2.0 or self.squarez != 2.0:
  82             self.super = 1
  83         self.odd = 0                    # Is the frequency odd. It matters for dome building.
  84         if self.frequency % 2 != 0:
  85             self.odd = 1
  86
  87     def makegeodesic(self):
  88         self.vertedgefacedata()         # PKHG only a pass 13okt11
  89         self.config()                   # Generate all the configuration information.
  90         if self.klass:
  91             self.class2()
  92         if self.faceshape == 1:
  93             self.hexify()               # Hexagonal faces
  94         elif self.faceshape == 2:
  95             self.starify()              # Hex and Triangle faces
  96         if self.dualflag:
  97             self.dual()
  98         if not self.cart:
  99             self.sphericalize()         # Convert x,y,z positions into spherical u,v.
 100         self.sphere2cartesian()         # Convert spherical uv back into cartesian x,y,z for final shape.
 101         for i in range(len(self.verts)):
 102             self.verts[i].index = i
 103         for edg in self.edges:
 104             edg.findvect()
 105
 106     def vertedgefacedata(self):
 107         pass
 108
 109     def config(self):
 110         for i in range(len(self.vertskeleton)):
 111             self.vertskeleton[i].index = i
 112         for edges in self.edgeskeleton:
 113             s = skeletonrow(self.frequency, edges, 0, self)  # self a geodesic
 114             self.skeleton.append(s)
 115         for i in range(len(self.verts)):
 116             self.verts[i].index = i
 117         for i in range(len(self.panelpoints)):
 118             a = self.vertsdone[self.panelpoints[i][0]][1]
 119             b = self.vertsdone[self.panelpoints[i][1]][1]
 120             c = self.vertsdone[self.panelpoints[i][2]][1]
 121             panpoints = [self.verts[a],
 122                         self.verts[b],
 123                         self.verts[c]]
 124             panedges = [self.skeleton[self.paneledges[i][0]],
 125                         self.skeleton[self.paneledges[i][1]],
 126                         self.skeleton[self.paneledges[i][2]]]
 127             reverseflag = 0
 128             for flag in self.reversepanel:
 129                 if flag == i:
 130                     reverseflag = 1
 131             p = panel(panpoints, panedges, reverseflag, self)
 132
 133     def sphericalize(self):
 134         if self.shape == 2:
 135             self.cutbasecomp()
 136         for vert in(self.verts):
 137
 138             x = vert.vector.x
 139             y = vert.vector.y
 140             z = vert.vector.z
 141
 142             u = self.usphericalise(x, y, z)
 143             v = self.vsphericalise(x, y, z)
 144             self.sphericalverts.append([u, v])
 145
 146     def sphere2cartesian(self):
 147         for i in range(len(self.verts)):
 148             if self.cart:
 149
 150                 x = self.verts[i].vector.x * self.radius * self.eccentricity
 151                 y = self.verts[i].vector.y * self.radius
 152                 z = self.verts[i].vector.z * self.radius * self.squish
 153             else:
 154                 u = self.sphericalverts[i][0]
 155                 v = self.sphericalverts[i][1]
 156                 if self.squish != 1.0 or self.eccentricity > 1.0:
 157                     scalez = 1 / self.squish
 158                     v = self.ellipsecomp(scalez, v)
 159                     u = self.ellipsecomp(self.eccentricity, u)
 160                 if self.super:
 161                     r1 = self.superell(self.square, u, self.rotxy)
 162                     r2 = self.superell(self.squarez, v, self.rotz)
 163                 else:
 164                     r1 = 1.0
 165                     r2 = 1.0
 166
 167                 if self.sform[12]:
 168                     r1 = r1 * self.superform(self.sform[0], self.sform[1],
 169                                              self.sform[2], self.sform[3],
 170                                              self.sform[14] + u, self.sform[4],
 171                                              self.sform[5], self.sform[16] * v)
 172                 if self.sform[13]:
 173                     r2 = r2 * self.superform(self.sform[6], self.sform[7],
 174                                              self.sform[8], self.sform[9],
 175                                              self.sform[15] + v, self.sform[10],
 176                                              self.sform[11], self.sform[17] * v)
 177                 x, y, z = self.cartesian(u, v, r1, r2)
 178
 179             self.verts[i] = vertex((x, y, z))
 180
 181     def usphericalise(self, x, y, z):
 182         if y == 0.0:
 183             if x > 0:
 184                 theta = 0.0
 185             else:
 186                 theta = self.a180
 187         elif x == 0.0:
 188             if y > 0:
 189                 theta = self.a90
 190             else:
 191                 theta = self.a270
 192         else:
 193             theta = atan(y / x)
 194
 195         if x < 0.0 and y < 0.0:
 196             theta = theta + self.a180
 197         elif x < 0.0 and y > 0.0:
 198             theta = theta + self.a180
 199         u = theta
 200         return u
 201
 202     def vsphericalise(self, x, y, z):
 203         if z == 0.0:
 204             phi = self.a90
 205         else:
 206             rho = sqrt(x ** 2 + y ** 2 + z ** 2)
 207             phi = acos(z / rho)
 208         v = phi
 209         return v
 210
 211     def ellipsecomp(self, efactor, theta):
 212         if theta == self.a90:
 213             result = self.a90
 214         elif theta == self.a270:
 215             result = self.a270
 216         else:
 217             result = atan(tan(theta) / efactor**0.5)
 218             if result >= 0.0:
 219                 x = result
 220                 y = self.a180 + result
 221                 if fabs(x - theta) <= fabs(y - theta):
 222                     result = x
 223                 else:
 224                     result = y
 225             else:
 226                 x = self.a180 + result
 227                 y = result
 228
 229                 if fabs(x - theta) <= fabs(y - theta):
 230                     result = x
 231                 else:
 232                     result = y
 233         return result
 234
 235     def cutbasecomp(self):
 236         pass
 237
 238     def cartesian(self, u, v, r1, r2):
 239         x = r1 * cos(u) * r2 * sin(v) * self.radius * self.eccentricity
 240         y = r1 * sin(u) * r2 * sin(v) * self.radius
 241         z = r2 * cos(v) * self.radius * self.squish
 242         return x, y, z
 243
 244
 245 class edgerow:
 246     def __init__(self, count, anchor, leftindex, rightindex, stepvector, endflag, parentgeo):
 247         self.points = []
 248         self.edges = []
 249         # Make a row of evenly spaced points.
 250         for i in range(count + 1):
 251             if i == 0:
 252                 self.points.append(leftindex)
 253             elif i == count and not endflag:
 254                 self.points.append(rightindex)
 255             else:  # PKHG Vectors added!
 256                 newpoint = anchor + (stepvector * i)
 257                 vertcount = len(parentgeo.verts)
 258                 self.points.append(vertcount)
 259                 newpoint.index = vertcount
 260                 parentgeo.verts.append(newpoint)
 261         for i in range(count):
 262             a = parentgeo.verts[self.points[i]]
 263             b = parentgeo.verts[self.points[i + 1]]
 264             line = edge(a, b)
 265             self.edges.append(len(parentgeo.edges))
 266             parentgeo.edges.append(line)
 267
 268
 269 class skeletonrow:
 270     def __init__(self, count, skeletonedge, shortflag, parentgeo):
 271         self.points = []
 272         self.edges = []
 273         self.vect = skeletonedge.vect
 274         self.step = skeletonedge.vect / float(count)
 275         # Make a row of evenly spaced points.
 276         for i in range(count + 1):
 277             vert1 = skeletonedge.a
 278             vert2 = skeletonedge.b
 279             if i == 0:
 280                 if parentgeo.vertsdone[vert1.index][0]:
 281                     self.points.append(parentgeo.vertsdone[vert1.index][1])
 282                 else:
 283                     newpoint = vertex(vert1.vector)
 284                     vertcount = len(parentgeo.verts)
 285                     self.points.append(vertcount)
 286                     newpoint.index = vertcount
 287                     parentgeo.vertsdone[vert1.index] = [1, vertcount]
 288                     parentgeo.verts.append(newpoint)
 289
 290             elif i == count:
 291                 if parentgeo.vertsdone[vert2.index][0]:
 292                     self.points.append(parentgeo.vertsdone[vert2.index][1])
 293                 else:
 294                     newpoint = vertex(vert2.vector)
 295                     vertcount = len(parentgeo.verts)
 296                     self.points.append(vertcount)
 297                     newpoint.index = vertcount
 298                     parentgeo.vertsdone[vert2.index] = [1, vertcount]
 299                     parentgeo.verts.append(newpoint)
 300             else:
 301                 newpoint = vertex(vert1.vector + (self.step * i))  # must be a vertex!
 302                 vertcount = len(parentgeo.verts)
 303                 self.points.append(vertcount)
 304                 newpoint.index = vertcount
 305                 parentgeo.verts.append(newpoint)
 306         for i in range(count):
 307             a = parentgeo.verts[self.points[i]]
 308             b = parentgeo.verts[self.points[i + 1]]
 309             line = edge(a, b)
 310             self.edges.append(len(parentgeo.edges))
 311             parentgeo.edges.append(line)
 312
 313
 314 class facefill:
 315     def __init__(self, upper, lower, reverseflag, parentgeo, finish):
 316         for i in range(finish):
 317             a, b, c = upper.points[i], lower.points[i + 1], lower.points[i]
 318             if reverseflag:
 319                 upface = face([parentgeo.verts[a], parentgeo.verts[c], parentgeo.verts[b]])
 320             else:
 321                 upface = face([parentgeo.verts[a], parentgeo.verts[b], parentgeo.verts[c]])
 322             parentgeo.faces.append(upface)
 323             if i == finish - 1:
 324                 pass
 325             else:
 326                 d = upper.points[i + 1]
 327                 if reverseflag:
 328                     downface = face([parentgeo.verts[b], parentgeo.verts[d], parentgeo.verts[a]])
 329                 else:
 330                     downface = face([parentgeo.verts[b], parentgeo.verts[a], parentgeo.verts[d]])
 331                 line = edge(parentgeo.verts[a], parentgeo.verts[b])
 332                 line2 = edge(parentgeo.verts[d], parentgeo.verts[b])
 333                 parentgeo.faces.append(downface)
 334                 parentgeo.edges.append(line)
 335                 parentgeo.edges.append(line2)
 336
 337
 338 class panel:
 339     def __init__(self, points, edges, reverseflag, parentgeo):
 340         self.cardinal = points[0]
 341         self.leftv = points[1]
 342         self.rightv = points[2]
 343         self.leftedge = edges[0]
 344         self.rightedge = edges[1]
 345         self.baseedge = edges[2]
 346         self.rows = []
 347         self.orient(parentgeo, edges)
 348         self.createrows(parentgeo)
 349         self.createfaces(parentgeo, reverseflag)
 350
 351     def orient(self, parentgeo, edges):
 352         if self.leftedge.points[0] != self.cardinal.index:
 353             self.leftedge.points.reverse()
 354             self.leftedge.vect.negative()
 355
 356         if self.rightedge.points[0] != self.cardinal.index:
 357             self.rightedge.points.reverse()
 358             self.rightedge.vect.negative()
 359
 360         if self.baseedge.points[0] != self.leftv.index:
 361
 362             self.baseedge.points.reverse()
 363             self.baseedge.vect.negative()
 364
 365     def createrows(self, parentgeo):
 366         for i in range(len(self.leftedge.points)):
 367             if i == parentgeo.frequency:
 368                 newrow = self.baseedge
 369             else:
 370                 newrow = edgerow(i, parentgeo.verts[self.leftedge.points[i]], self.leftedge.points[i],
 371                                 self.rightedge.points[i], self.baseedge.step, 0, parentgeo)
 372             self.rows.append(newrow)
 373
 374     def createfaces(self, parentgeo, reverseflag):
 375         for i in range(len(self.leftedge.points) - 1):
 376             facefill(self.rows[i], self.rows[i + 1], reverseflag, parentgeo, len(self.rows[i].points))
 377
 378
 379 # for point on top?  YES!
 380 class tetrahedron(geodesic, mesh):
 381     def __init__(self, parameter):
 382         geodesic.__init__(mesh)
 383         geodesic.setparameters(self, parameter)
 384         self.set_vert_edge_skeleons()
 385
 386     def set_vert_edge_skeleons(self):
 387         self.vertskeleton = [vertex((0.0, 0.0, 1.73205080757)),
 388                             vertex((0.0, -1.63299316185, -0.577350269185)),
 389                             vertex((1.41421356237, 0.816496580927, -0.57735026919)),
 390                             vertex((-1.41421356237, 0.816496580927, -0.57735026919))]
 391
 392         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 393                             edge(self.vertskeleton[0], self.vertskeleton[2]),
 394                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 395                             edge(self.vertskeleton[1], self.vertskeleton[2]),
 396                             edge(self.vertskeleton[2], self.vertskeleton[3]),
 397                             edge(self.vertskeleton[1], self.vertskeleton[3])]
 398
 399         self.panelpoints = [[0, 1, 2], [0, 2, 3], [0, 1, 3], [1, 2, 3]]
 400         self.paneledges = [[0, 1, 3], [1, 2, 4], [0, 2, 5], [3, 5, 4]]
 401         self.reversepanel = [2, 3]
 402         self.edgelength = []
 403         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 404
 405
 406 # for edge on top? YES
 407 class tetraedge(geodesic):
 408     def __init__(self, parameter):
 409         geodesic.__init__(mesh)
 410         geodesic.setparameters(self, parameter)
 411         self.set_vert_edge_skeleons()
 412
 413     def set_vert_edge_skeleons(self):
 414         self.vertskeleton = [vertex((0.0, -1.41421356237, 1.0)),
 415                             vertex((0.0, 1.41421356237, 1.0)),
 416                             vertex((1.41421356237, 0.0, -1.0)),
 417                             vertex((-1.41421356237, 0.0, -1.0))]
 418
 419         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 420                             edge(self.vertskeleton[0], self.vertskeleton[2]),
 421                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 422                             edge(self.vertskeleton[1], self.vertskeleton[3]),
 423                             edge(self.vertskeleton[1], self.vertskeleton[2]),
 424                             edge(self.vertskeleton[2], self.vertskeleton[3])]
 425
 426         for i in range(len(self.vertskeleton)):
 427             self.vertskeleton[i].index = i
 428
 429         self.panelpoints = [[0, 1, 2], [1, 2, 3], [0, 1, 3], [0, 2, 3]]
 430         self.paneledges = [[0, 1, 4], [4, 3, 5], [0, 2, 3], [1, 2, 5]]
 431         self.reversepanel = [0, 3]
 432         self.edgelength = []
 433         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 434
 435
 436 # for face on top? YES
 437 class tetraface(geodesic):
 438     def __init__(self, parameter):
 439         geodesic.__init__(mesh)
 440         geodesic.setparameters(self, parameter)
 441         self.set_vert_edge_skeleons()
 442
 443     def set_vert_edge_skeleons(self):
 444         self.vertskeleton = [vertex((-1.41421356237, -0.816496580927, 0.57735026919)),
 445                             vertex((1.41421356237, -0.816496580927, 0.57735026919)),
 446                             vertex((0.0, 1.63299316185, 0.577350269185)),
 447                             vertex((0.0, 0.0, -1.73205080757))]
 448
 449         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 450                             edge(self.vertskeleton[2], self.vertskeleton[1]),
 451                             edge(self.vertskeleton[2], self.vertskeleton[0]),
 452                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 453                             edge(self.vertskeleton[1], self.vertskeleton[3]),
 454                             edge(self.vertskeleton[2], self.vertskeleton[3])
 455                                 ]
 456         self.panelpoints = [[2, 0, 1], [0, 1, 3], [2, 1, 3], [2, 0, 3]]
 457
 458         self.paneledges = [[2, 1, 0], [0, 3, 4], [1, 5, 4], [2, 5, 3]]
 459         self.reversepanel = [1, 3]
 460         self.edgelength = []
 461         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 462
 463
 464 class octahedron(geodesic):
 465     def __init__(self, parameter):
 466         geodesic.__init__(mesh)
 467         geodesic.setparameters(self, parameter)
 468         self.set_vert_edge_skeleons()
 469
 470     def set_vert_edge_skeleons(self):
 471         self.vertskeleton = [vertex((0.0, 0.0, 1.0)),
 472                             vertex((0.0, 1.0, 0.0)),
 473                             vertex((-1.0, 0.0, 0.0)),
 474                             vertex((0.0, -1.0, 0.0)),
 475                             vertex((1.0, 0.0, 0.0)),
 476                             vertex((0.0, 0.0, -1.0))]
 477
 478         for i in range(len(self.vertskeleton)):
 479             self.vertskeleton[i].index = i
 480         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 481                             edge(self.vertskeleton[0], self.vertskeleton[2]),
 482                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 483                             edge(self.vertskeleton[0], self.vertskeleton[4]),
 484                             edge(self.vertskeleton[1], self.vertskeleton[2]),
 485                             edge(self.vertskeleton[2], self.vertskeleton[3]),
 486                             edge(self.vertskeleton[3], self.vertskeleton[4]),
 487                             edge(self.vertskeleton[4], self.vertskeleton[1]),
 488                             edge(self.vertskeleton[1], self.vertskeleton[5]),
 489                             edge(self.vertskeleton[2], self.vertskeleton[5]),
 490                             edge(self.vertskeleton[3], self.vertskeleton[5]),
 491                             edge(self.vertskeleton[4], self.vertskeleton[5])]
 492
 493         self.panelpoints = [[0, 1, 2], [0, 2, 3], [0, 3, 4], [0, 4, 1], [1, 2, 5],
 494                             [2, 3, 5], [3, 4, 5], [4, 1, 5]]
 495         self.paneledges = [[0, 1, 4], [1, 2, 5], [2, 3, 6], [3, 0, 7], [4, 8, 9],
 496                             [5, 9, 10], [6, 10, 11], [7, 11, 8]]
 497         self.reversepanel = [4, 5, 6, 7]
 498         self.edgelength = []
 499         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 500
 501
 502 class octaedge(geodesic):
 503     def __init__(self, parameter):
 504         geodesic.__init__(mesh)
 505         geodesic.setparameters(self, parameter)
 506         self.set_vert_edge_skeleons()
 507
 508     def set_vert_edge_skeleons(self):
 509         self.vertskeleton = [vertex((0.0, -0.707106781187, 0.707106781187)),
 510                             vertex((0.0, 0.707106781187, 0.707106781187)),
 511                             vertex((1.0, 0.0, 0.0)),
 512                             vertex((-1.0, 0.0, 0.0)),
 513                             vertex((0.0, -0.707106781187, -0.707106781187)),
 514                             vertex((0.0, 0.707106781187, -0.707106781187))]
 515
 516         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 517                             edge(self.vertskeleton[0], self.vertskeleton[4]),
 518                             edge(self.vertskeleton[0], self.vertskeleton[2]),
 519                             edge(self.vertskeleton[1], self.vertskeleton[2]),
 520                             edge(self.vertskeleton[1], self.vertskeleton[5]),
 521                             edge(self.vertskeleton[1], self.vertskeleton[3]),
 522                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 523                             edge(self.vertskeleton[2], self.vertskeleton[4]),
 524                             edge(self.vertskeleton[2], self.vertskeleton[5]),
 525                             edge(self.vertskeleton[3], self.vertskeleton[5]),
 526                             edge(self.vertskeleton[3], self.vertskeleton[4]),
 527                             edge(self.vertskeleton[4], self.vertskeleton[5])]
 528
 529         self.panelpoints = [[0, 1, 2], [0, 1, 3], [0, 2, 4], [1, 2, 5], [1, 3, 5],
 530                             [0, 3, 4], [2, 4, 5], [3, 4, 5]]
 531         self.paneledges = [[0, 2, 3], [0, 6, 5], [2, 1, 7], [3, 4, 8], [5, 4, 9],
 532                            [6, 1, 10], [7, 8, 11], [10, 9, 11]]
 533
 534         self.reversepanel = [0, 2, 4, 7]
 535         self.edgelength = []
 536         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 537
 538
 539 class octaface(geodesic):
 540     def __init__(self, parameter):
 541         geodesic.__init__(mesh)
 542         geodesic.setparameters(self, parameter)
 543         self.set_vert_edge_skeleons()
 544
 545     def set_vert_edge_skeleons(self):
 546         self.vertskeleton = [vertex((0.408248458663, -0.707106781187, 0.577350150255)),
 547                             vertex((0.408248458663, 0.707106781187, 0.577350150255)),
 548                             vertex((-0.816496412728, 0.0, 0.577350507059)),
 549                             vertex((-0.408248458663, -0.707106781187, -0.577350150255)),
 550                             vertex((0.816496412728, 0.0, -0.577350507059)),
 551                             vertex((-0.408248458663, 0.707106781187, -0.577350150255))]
 552
 553         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 554                             edge(self.vertskeleton[2], self.vertskeleton[1]),
 555                             edge(self.vertskeleton[2], self.vertskeleton[0]),
 556                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 557                             edge(self.vertskeleton[0], self.vertskeleton[4]),
 558                             edge(self.vertskeleton[1], self.vertskeleton[4]),
 559                             edge(self.vertskeleton[1], self.vertskeleton[5]),
 560                             edge(self.vertskeleton[2], self.vertskeleton[5]),
 561                             edge(self.vertskeleton[2], self.vertskeleton[3]),
 562                             edge(self.vertskeleton[3], self.vertskeleton[4]),
 563                             edge(self.vertskeleton[4], self.vertskeleton[5]),
 564                             edge(self.vertskeleton[3], self.vertskeleton[5])]
 565
 566         self.panelpoints = [[2, 0, 1], [0, 3, 4], [0, 1, 4], [1, 4, 5],
 567                             [2, 1, 5], [2, 3, 5], [2, 0, 3], [3, 4, 5]]
 568
 569         self.paneledges = [[2, 1, 0], [3, 4, 9], [0, 4, 5], [5, 6, 10],
 570                            [1, 7, 6], [8, 7, 11], [2, 8, 3], [9, 11, 10]]
 571
 572         self.reversepanel = [2, 5, 6, 7]
 573         self.edgelength = []
 574         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 575
 576
 577 class icosahedron(geodesic):
 578     def __init__(self, parameter):
 579         geodesic.__init__(mesh)
 580         geodesic.setparameters(self, parameter)
 581         self.set_vert_edge_skeleons()
 582
 583     def set_vert_edge_skeleons(self):
 584         self.vertskeleton = [vertex((0.0, 0.0, 0.587785252292)),
 585                             vertex((0.0, -0.525731096637, 0.262865587024)),
 586                             vertex((0.5, -0.162459832634, 0.262865565628)),
 587                             vertex((0.309016994375, 0.425325419658, 0.262865531009)),
 588                             vertex((-0.309016994375, 0.425325419658, 0.262865531009)),
 589                             vertex((-0.5, -0.162459832634, 0.262865565628)),
 590                             vertex((0.309016994375, -0.425325419658, -0.262865531009)),
 591                             vertex((0.5, 0.162459832634, -0.262865565628)),
 592                             vertex((0.0, 0.525731096637, -0.262865587024)),
 593                             vertex((-0.5, 0.162459832634, -0.262865565628)),
 594                             vertex((-0.309016994375, -0.425325419658, -0.262865531009)),
 595                             vertex((0.0, 0.0, -0.587785252292))]
 596
 597         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 598                             edge(self.vertskeleton[0], self.vertskeleton[2]),
 599                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 600                             edge(self.vertskeleton[0], self.vertskeleton[4]),
 601                             edge(self.vertskeleton[0], self.vertskeleton[5]),
 602                             edge(self.vertskeleton[1], self.vertskeleton[2]),
 603                             edge(self.vertskeleton[2], self.vertskeleton[3]),
 604                             edge(self.vertskeleton[3], self.vertskeleton[4]),
 605                             edge(self.vertskeleton[4], self.vertskeleton[5]),
 606                             edge(self.vertskeleton[5], self.vertskeleton[1]),
 607                             edge(self.vertskeleton[1], self.vertskeleton[6]),
 608                             edge(self.vertskeleton[2], self.vertskeleton[6]),
 609                             edge(self.vertskeleton[2], self.vertskeleton[7]),
 610                             edge(self.vertskeleton[3], self.vertskeleton[7]),
 611                             edge(self.vertskeleton[3], self.vertskeleton[8]),
 612                             edge(self.vertskeleton[4], self.vertskeleton[8]),
 613                             edge(self.vertskeleton[4], self.vertskeleton[9]),
 614                             edge(self.vertskeleton[5], self.vertskeleton[9]),
 615                             edge(self.vertskeleton[5], self.vertskeleton[10]),
 616                             edge(self.vertskeleton[1], self.vertskeleton[10]),
 617                             edge(self.vertskeleton[6], self.vertskeleton[7]),
 618                             edge(self.vertskeleton[7], self.vertskeleton[8]),
 619                             edge(self.vertskeleton[8], self.vertskeleton[9]),
 620                             edge(self.vertskeleton[9], self.vertskeleton[10]),
 621                             edge(self.vertskeleton[10], self.vertskeleton[6]),
 622                             edge(self.vertskeleton[6], self.vertskeleton[11]),
 623                             edge(self.vertskeleton[7], self.vertskeleton[11]),
 624                             edge(self.vertskeleton[8], self.vertskeleton[11]),
 625                             edge(self.vertskeleton[9], self.vertskeleton[11]),
 626                             edge(self.vertskeleton[10], self.vertskeleton[11])]
 627
 628         self.panelpoints = [[0, 1, 2], [0, 2, 3], [0, 3, 4], [0, 4, 5], [0, 5, 1], [1, 2, 6],
 629                             [2, 6, 7], [2, 3, 7], [3, 7, 8], [3, 4, 8], [4, 8, 9], [4, 5, 9],
 630                             [5, 9, 10], [5, 1, 10], [1, 10, 6], [6, 7, 11], [7, 8, 11],
 631                             [8, 9, 11], [9, 10, 11], [10, 6, 11]]
 632
 633         self.paneledges = [[0, 1, 5], [1, 2, 6], [2, 3, 7], [3, 4, 8], [4, 0, 9], [5, 10, 11],
 634                            [11, 12, 20], [6, 12, 13], [13, 14, 21], [7, 14, 15], [15, 16, 22],
 635                            [8, 16, 17], [17, 18, 23], [9, 18, 19], [19, 10, 24], [20, 25, 26],
 636                            [21, 26, 27], [22, 27, 28], [23, 28, 29], [24, 29, 25]]
 637
 638         self.reversepanel = [5, 7, 9, 11, 13, 15, 16, 17, 18, 19]
 639         self.edgelength = []
 640         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 641
 642
 643 class icoedge(geodesic):
 644     def __init__(self, parameter):
 645         geodesic.__init__(mesh)
 646         geodesic.setparameters(self, parameter)
 647         self.set_vert_edge_skeleons()
 648
 649     def set_vert_edge_skeleons(self):
 650         self.vertskeleton = [vertex((0, 0.309016994375, 0.5)),
 651                             vertex((0, -0.309016994375, 0.5)),
 652                             vertex((-0.5, 0, 0.309016994375)),
 653                             vertex((0.5, 0, 0.309016994375)),
 654                             vertex((-0.309016994375, -0.5, 0)),
 655                             vertex((0.309016994375, -0.5, 0)),
 656                             vertex((0.309016994375, 0.5, 0)),
 657                             vertex((-0.309016994375, 0.5, 0)),
 658                             vertex((-0.5, 0, -0.309016994375)),
 659                             vertex((0.5, 0, -0.309016994375)),
 660                             vertex((0, 0.309016994375, -0.5)),
 661                             vertex((0, -0.309016994375, -0.5))]
 662
 663         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 664                             edge(self.vertskeleton[0], self.vertskeleton[7]),
 665                             edge(self.vertskeleton[0], self.vertskeleton[2]),
 666                             edge(self.vertskeleton[1], self.vertskeleton[2]),
 667                             edge(self.vertskeleton[1], self.vertskeleton[4]),
 668                             edge(self.vertskeleton[1], self.vertskeleton[5]),
 669                             edge(self.vertskeleton[1], self.vertskeleton[3]),
 670                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 671                             edge(self.vertskeleton[0], self.vertskeleton[6]),
 672                             edge(self.vertskeleton[2], self.vertskeleton[7]),
 673                             edge(self.vertskeleton[2], self.vertskeleton[8]),
 674                             edge(self.vertskeleton[2], self.vertskeleton[4]),
 675                             edge(self.vertskeleton[4], self.vertskeleton[5]),
 676                             edge(self.vertskeleton[3], self.vertskeleton[5]),
 677                             edge(self.vertskeleton[3], self.vertskeleton[9]),
 678                             edge(self.vertskeleton[3], self.vertskeleton[6]),
 679                             edge(self.vertskeleton[6], self.vertskeleton[7]),
 680                             edge(self.vertskeleton[7], self.vertskeleton[10]),
 681                             edge(self.vertskeleton[7], self.vertskeleton[8]),
 682                             edge(self.vertskeleton[4], self.vertskeleton[8]),
 683                             edge(self.vertskeleton[4], self.vertskeleton[11]),
 684                             edge(self.vertskeleton[5], self.vertskeleton[11]),
 685                             edge(self.vertskeleton[5], self.vertskeleton[9]),
 686                             edge(self.vertskeleton[6], self.vertskeleton[9]),
 687                             edge(self.vertskeleton[6], self.vertskeleton[10]),
 688                             edge(self.vertskeleton[8], self.vertskeleton[10]),
 689                             edge(self.vertskeleton[8], self.vertskeleton[11]),
 690                             edge(self.vertskeleton[9], self.vertskeleton[11]),
 691                             edge(self.vertskeleton[9], self.vertskeleton[10]),
 692                             edge(self.vertskeleton[10], self.vertskeleton[11])]
 693
 694         self.panelpoints = [[0, 1, 2], [0, 1, 3], [0, 2, 7], [1, 2, 4], [1, 4, 5],
 695                             [1, 3, 5], [0, 3, 6], [0, 6, 7], [2, 7, 8], [2, 4, 8],
 696                             [3, 5, 9], [3, 6, 9], [7, 8, 10], [4, 8, 11], [4, 5, 11],
 697                             [5, 9, 11], [6, 9, 10], [6, 7, 10], [8, 10, 11], [9, 10, 11]]
 698
 699         self.paneledges = [[0, 2, 3], [0, 7, 6], [2, 1, 9], [3, 4, 11], [4, 5, 12], [6, 5, 13],
 700                            [7, 8, 15], [8, 1, 16], [9, 10, 18], [11, 10, 19], [13, 14, 22],
 701                            [15, 14, 23], [18, 17, 25], [19, 20, 26], [12, 20, 21], [22, 21, 27],
 702                            [23, 24, 28], [16, 24, 17], [25, 26, 29], [28, 27, 29]]
 703
 704         self.reversepanel = [0, 2, 5, 9, 11, 12, 14, 15, 17, 19]
 705         self.edgelength = []
 706         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 707
 708
 709 class icoface(geodesic):
 710     def __init__(self, parameter):
 711         geodesic.__init__(mesh)
 712         geodesic.setparameters(self, parameter)
 713         self.set_vert_edge_skeleons()
 714
 715     def set_vert_edge_skeleons(self):
 716         self.vertskeleton = [vertex((-0.17841104489, 0.309016994375, 0.46708617948)),
 717                             vertex((-0.17841104489, -0.309016994375, 0.46708617948)),
 718                             vertex((0.35682208977, 0.0, 0.467086179484)),
 719                             vertex((-0.57735026919, 0.0, 0.110264089705)),
 720                             vertex((-0.288675134594, -0.5, -0.11026408971)),
 721                             vertex((0.288675134594, -0.5, 0.11026408971)),
 722                             vertex((0.57735026919, 0.0, -0.110264089705)),
 723                             vertex((0.288675134594, 0.5, 0.11026408971)),
 724                             vertex((-0.288675134594, 0.5, -0.11026408971)),
 725                             vertex((-0.35682208977, 0.0, -0.467086179484)),
 726                             vertex((0.17841104489, -0.309016994375, -0.46708617948)),
 727                             vertex((0.17841104489, 0.309016994375, -0.46708617948))]
 728
 729         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 730                             edge(self.vertskeleton[2], self.vertskeleton[1]),
 731                             edge(self.vertskeleton[2], self.vertskeleton[0]),
 732                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 733                             edge(self.vertskeleton[1], self.vertskeleton[3]),
 734                             edge(self.vertskeleton[1], self.vertskeleton[4]),
 735                             edge(self.vertskeleton[1], self.vertskeleton[5]),
 736                             edge(self.vertskeleton[2], self.vertskeleton[5]),
 737                             edge(self.vertskeleton[2], self.vertskeleton[6]),
 738                             edge(self.vertskeleton[2], self.vertskeleton[7]),
 739                             edge(self.vertskeleton[0], self.vertskeleton[7]),
 740                             edge(self.vertskeleton[0], self.vertskeleton[8]),
 741                             edge(self.vertskeleton[3], self.vertskeleton[9]),
 742                             edge(self.vertskeleton[3], self.vertskeleton[4]),
 743                             edge(self.vertskeleton[5], self.vertskeleton[4]),
 744                             edge(self.vertskeleton[5], self.vertskeleton[10]),
 745                             edge(self.vertskeleton[5], self.vertskeleton[6]),
 746                             edge(self.vertskeleton[7], self.vertskeleton[6]),
 747                             edge(self.vertskeleton[7], self.vertskeleton[11]),
 748                             edge(self.vertskeleton[7], self.vertskeleton[8]),
 749                             edge(self.vertskeleton[3], self.vertskeleton[8]),
 750                             edge(self.vertskeleton[4], self.vertskeleton[9]),
 751                             edge(self.vertskeleton[4], self.vertskeleton[10]),
 752                             edge(self.vertskeleton[6], self.vertskeleton[10]),
 753                             edge(self.vertskeleton[6], self.vertskeleton[11]),
 754                             edge(self.vertskeleton[8], self.vertskeleton[11]),
 755                             edge(self.vertskeleton[8], self.vertskeleton[9]),
 756                             edge(self.vertskeleton[9], self.vertskeleton[10]),
 757                             edge(self.vertskeleton[11], self.vertskeleton[10]),
 758                             edge(self.vertskeleton[11], self.vertskeleton[9])]
 759
 760         self.panelpoints = [[2, 0, 1], [0, 1, 3], [2, 1, 5], [2, 0, 7], [1, 3, 4], [1, 5, 4],
 761                             [2, 5, 6], [2, 7, 6], [0, 7, 8], [0, 3, 8], [3, 4, 9], [5, 4, 10],
 762                             [5, 6, 10], [7, 6, 11], [7, 8, 11], [3, 8, 9], [4, 9, 10],
 763                             [6, 11, 10], [8, 11, 9], [11, 9, 10]]
 764
 765         self.paneledges = [[2, 1, 0], [0, 3, 4], [1, 7, 6], [2, 9, 10], [4, 5, 13], [6, 5, 14],
 766                            [7, 8, 16], [9, 8, 17], [10, 11, 19], [3, 11, 20], [13, 12, 21],
 767                            [14, 15, 22], [16, 15, 23], [17, 18, 24], [19, 18, 25], [20, 12, 26],
 768                            [21, 22, 27], [24, 23, 28], [25, 26, 29], [29, 28, 27]]
 769
 770         self.reversepanel = [1, 3, 5, 7, 9, 10, 12, 14, 17, 19]
 771         self.edgelength = []
 772         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 773
 774
 775 # PKHG TODO this does not work yet ...
 776 def creategeo(geo, polytype, orientation, parameters):
 777
 778     if polytype == 'Tetrahedron':
 779         if orientation == 'PointUp':
 780             my_tetrahedron = tetrahedron(geodesic)
 781             my_tetrahedron.set_vert_edge_skeleons()
 782             my_tetrahedron.config()
 783             check_contains(my_tetrahedron, "my_tetra", True)
 784             vefm_add_object(geo)
 785         elif orientation == 'EdgeUp':
 786             geo = tetraedge(parameters)
 787         else:  # orientation == 2:
 788             geo = tetraface(parameters)
 789     elif polytype == 'Octahedron':
 790         if orientation == 'PointUp':
 791             geo = octahedron(parameters)
 792         elif orientation == 'EdgeUp':
 793             geo = octaedge(parameters)
 794         else:  # if orientation == 2:
 795             geo = octaface(parameters)
 796     elif polytype == 'Icosahedron':
 797         if orientation == 'PointUp':
 798             geo = icosahedron(parameters)
 799         elif orientation == 'EdgeUp':
 800             geo = icoedge(parameters)
 801         else:  # if orientation == 2:
 802             geo = icoface(parameters)
 803
 804     return geo