add_mesh_geodesic_domes/geodesic_classes_271.py

   1 # SPDX-License-Identifier: GPL-2.0-or-later
   2
   3 from .vefm_271 import mesh, vertex, edge, face
   4 from math import pi, acos, sin, cos, atan, tan, fabs, sqrt
   5
   6
   7 def check_contains(cl, name, print_value=False):
   8     dir_class = dir(cl)
   9     for el in dir_class:
  10         if el.startswith("_"):
  11             pass
  12         else:
  13             if print_value:
  14                 tmp = getattr(cl, el)
  15                 print(name, " contains ==>", el, " value = ", tmp)
  16             else:
  17                 print(name, " contains ==>", el)
  18     print("\ncheck_contains finished\n\n")
  19
  20
  21 class geodesic(mesh):
  22
  23     def __init__(self):
  24         mesh.__init__(self)
  25         self.PKHG_parameters = None
  26
  27         self.panels = []
  28         self.vertsdone = []
  29         self.skeleton = []      # List of verts in the full skeleton edges.
  30         self.vertskeleton = []  # config needs this member
  31         self.edgeskeleton = []  # config needs this member
  32         self.sphericalverts = []
  33         self.a45 = pi * 0.25
  34         self.a90 = pi * 0.5
  35         self.a180 = pi
  36         self.a270 = pi * 1.5
  37         self.a360 = pi * 2
  38         # define members here
  39         # setparams needs:
  40         self.frequency = None
  41         self.eccentricity = None
  42         self.squish = None
  43         self.radius = None
  44         self.square = None
  45         self.squarez = None
  46         self.cart = None
  47         self.shape = None
  48         self.baselevel = None
  49         self.faceshape = None
  50         self.dualflag = None
  51         self.rotxy = None
  52         self.rotz = None
  53         self.klass = None
  54         self.sform = None
  55         self.super = None
  56         self.odd = None
  57         # config needs
  58         self.panelpoints = None
  59         self.paneledges = None
  60         self.reversepanel = None
  61         self.edgelength = None
  62         self.vertsdone = None
  63         self.panels = []
  64
  65     def setparameters(self, params):
  66         parameters = self.PKHG_parameters = params
  67         self.frequency = parameters[0]     # How many subdivisions - up to 20.
  68         self.eccentricity = parameters[1]  # Elliptical if >1.0.
  69         self.squish = parameters[2]        # Flattened if < 1.0.
  70         self.radius = parameters[3]        # Exactly what it says.
  71         self.square = parameters[4]        # Controls amount of superellipse in X/Y plane.
  72         self.squarez = parameters[5]       # Controls amount of superellipse in Z dimension.
  73         self.cart = parameters[6]          # Cuts out sphericalisation step.
  74         self.shape = parameters[7]         # Full sphere, dome, flatbase.
  75         self.baselevel = parameters[8]     # Where the base is cut on a flatbase dome.
  76         self.faceshape = parameters[9]     # Triangular, hexagonal, tri-hex.
  77         self.dualflag = parameters[10]
  78         self.rotxy = parameters[11]
  79         self.rotz = parameters[12]
  80         self.klass = parameters[13]
  81         self.sform = parameters[14]
  82         self.super = 0                  # Toggles superellipse.
  83         if self.square != 2.0 or self.squarez != 2.0:
  84             self.super = 1
  85         self.odd = 0                    # Is the frequency odd. It matters for dome building.
  86         if self.frequency % 2 != 0:
  87             self.odd = 1
  88
  89     def makegeodesic(self):
  90         self.vertedgefacedata()         # PKHG only a pass 13okt11
  91         self.config()                   # Generate all the configuration information.
  92         if self.klass:
  93             self.class2()
  94         if self.faceshape == 1:
  95             self.hexify()               # Hexagonal faces
  96         elif self.faceshape == 2:
  97             self.starify()              # Hex and Triangle faces
  98         if self.dualflag:
  99             self.dual()
 100         if not self.cart:
 101             self.sphericalize()         # Convert x,y,z positions into spherical u,v.
 102         self.sphere2cartesian()         # Convert spherical uv back into cartesian x,y,z for final shape.
 103         for i in range(len(self.verts)):
 104             self.verts[i].index = i
 105         for edg in self.edges:
 106             edg.findvect()
 107
 108     def vertedgefacedata(self):
 109         pass
 110
 111     def config(self):
 112         for i in range(len(self.vertskeleton)):
 113             self.vertskeleton[i].index = i
 114         for edges in self.edgeskeleton:
 115             s = skeletonrow(self.frequency, edges, 0, self)  # self a geodesic
 116             self.skeleton.append(s)
 117         for i in range(len(self.verts)):
 118             self.verts[i].index = i
 119         for i in range(len(self.panelpoints)):
 120             a = self.vertsdone[self.panelpoints[i][0]][1]
 121             b = self.vertsdone[self.panelpoints[i][1]][1]
 122             c = self.vertsdone[self.panelpoints[i][2]][1]
 123             panpoints = [self.verts[a],
 124                         self.verts[b],
 125                         self.verts[c]]
 126             panedges = [self.skeleton[self.paneledges[i][0]],
 127                         self.skeleton[self.paneledges[i][1]],
 128                         self.skeleton[self.paneledges[i][2]]]
 129             reverseflag = 0
 130             for flag in self.reversepanel:
 131                 if flag == i:
 132                     reverseflag = 1
 133             p = panel(panpoints, panedges, reverseflag, self)
 134
 135     def sphericalize(self):
 136         if self.shape == 2:
 137             self.cutbasecomp()
 138         for vert in(self.verts):
 139
 140             x = vert.vector.x
 141             y = vert.vector.y
 142             z = vert.vector.z
 143
 144             u = self.usphericalise(x, y, z)
 145             v = self.vsphericalise(x, y, z)
 146             self.sphericalverts.append([u, v])
 147
 148     def sphere2cartesian(self):
 149         for i in range(len(self.verts)):
 150             if self.cart:
 151
 152                 x = self.verts[i].vector.x * self.radius * self.eccentricity
 153                 y = self.verts[i].vector.y * self.radius
 154                 z = self.verts[i].vector.z * self.radius * self.squish
 155             else:
 156                 u = self.sphericalverts[i][0]
 157                 v = self.sphericalverts[i][1]
 158                 if self.squish != 1.0 or self.eccentricity > 1.0:
 159                     scalez = 1 / self.squish
 160                     v = self.ellipsecomp(scalez, v)
 161                     u = self.ellipsecomp(self.eccentricity, u)
 162                 if self.super:
 163                     r1 = self.superell(self.square, u, self.rotxy)
 164                     r2 = self.superell(self.squarez, v, self.rotz)
 165                 else:
 166                     r1 = 1.0
 167                     r2 = 1.0
 168
 169                 if self.sform[12]:
 170                     r1 = r1 * self.superform(self.sform[0], self.sform[1],
 171                                              self.sform[2], self.sform[3],
 172                                              self.sform[14] + u, self.sform[4],
 173                                              self.sform[5], self.sform[16] * v)
 174                 if self.sform[13]:
 175                     r2 = r2 * self.superform(self.sform[6], self.sform[7],
 176                                              self.sform[8], self.sform[9],
 177                                              self.sform[15] + v, self.sform[10],
 178                                              self.sform[11], self.sform[17] * v)
 179                 x, y, z = self.cartesian(u, v, r1, r2)
 180
 181             self.verts[i] = vertex((x, y, z))
 182
 183     def usphericalise(self, x, y, z):
 184         if y == 0.0:
 185             if x > 0:
 186                 theta = 0.0
 187             else:
 188                 theta = self.a180
 189         elif x == 0.0:
 190             if y > 0:
 191                 theta = self.a90
 192             else:
 193                 theta = self.a270
 194         else:
 195             theta = atan(y / x)
 196
 197         if x < 0.0 and y < 0.0:
 198             theta = theta + self.a180
 199         elif x < 0.0 and y > 0.0:
 200             theta = theta + self.a180
 201         u = theta
 202         return u
 203
 204     def vsphericalise(self, x, y, z):
 205         if z == 0.0:
 206             phi = self.a90
 207         else:
 208             rho = sqrt(x ** 2 + y ** 2 + z ** 2)
 209             phi = acos(z / rho)
 210         v = phi
 211         return v
 212
 213     def ellipsecomp(self, efactor, theta):
 214         if theta == self.a90:
 215             result = self.a90
 216         elif theta == self.a270:
 217             result = self.a270
 218         else:
 219             result = atan(tan(theta) / efactor**0.5)
 220             if result >= 0.0:
 221                 x = result
 222                 y = self.a180 + result
 223                 if fabs(x - theta) <= fabs(y - theta):
 224                     result = x
 225                 else:
 226                     result = y
 227             else:
 228                 x = self.a180 + result
 229                 y = result
 230
 231                 if fabs(x - theta) <= fabs(y - theta):
 232                     result = x
 233                 else:
 234                     result = y
 235         return result
 236
 237     def cutbasecomp(self):
 238         pass
 239
 240     def cartesian(self, u, v, r1, r2):
 241         x = r1 * cos(u) * r2 * sin(v) * self.radius * self.eccentricity
 242         y = r1 * sin(u) * r2 * sin(v) * self.radius
 243         z = r2 * cos(v) * self.radius * self.squish
 244         return x, y, z
 245
 246
 247 class edgerow:
 248     def __init__(self, count, anchor, leftindex, rightindex, stepvector, endflag, parentgeo):
 249         self.points = []
 250         self.edges = []
 251         # Make a row of evenly spaced points.
 252         for i in range(count + 1):
 253             if i == 0:
 254                 self.points.append(leftindex)
 255             elif i == count and not endflag:
 256                 self.points.append(rightindex)
 257             else:  # PKHG Vectors added!
 258                 newpoint = anchor + (stepvector * i)
 259                 vertcount = len(parentgeo.verts)
 260                 self.points.append(vertcount)
 261                 newpoint.index = vertcount
 262                 parentgeo.verts.append(newpoint)
 263         for i in range(count):
 264             a = parentgeo.verts[self.points[i]]
 265             b = parentgeo.verts[self.points[i + 1]]
 266             line = edge(a, b)
 267             self.edges.append(len(parentgeo.edges))
 268             parentgeo.edges.append(line)
 269
 270
 271 class skeletonrow:
 272     def __init__(self, count, skeletonedge, shortflag, parentgeo):
 273         self.points = []
 274         self.edges = []
 275         self.vect = skeletonedge.vect
 276         self.step = skeletonedge.vect / float(count)
 277         # Make a row of evenly spaced points.
 278         for i in range(count + 1):
 279             vert1 = skeletonedge.a
 280             vert2 = skeletonedge.b
 281             if i == 0:
 282                 if parentgeo.vertsdone[vert1.index][0]:
 283                     self.points.append(parentgeo.vertsdone[vert1.index][1])
 284                 else:
 285                     newpoint = vertex(vert1.vector)
 286                     vertcount = len(parentgeo.verts)
 287                     self.points.append(vertcount)
 288                     newpoint.index = vertcount
 289                     parentgeo.vertsdone[vert1.index] = [1, vertcount]
 290                     parentgeo.verts.append(newpoint)
 291
 292             elif i == count:
 293                 if parentgeo.vertsdone[vert2.index][0]:
 294                     self.points.append(parentgeo.vertsdone[vert2.index][1])
 295                 else:
 296                     newpoint = vertex(vert2.vector)
 297                     vertcount = len(parentgeo.verts)
 298                     self.points.append(vertcount)
 299                     newpoint.index = vertcount
 300                     parentgeo.vertsdone[vert2.index] = [1, vertcount]
 301                     parentgeo.verts.append(newpoint)
 302             else:
 303                 newpoint = vertex(vert1.vector + (self.step * i))  # must be a vertex!
 304                 vertcount = len(parentgeo.verts)
 305                 self.points.append(vertcount)
 306                 newpoint.index = vertcount
 307                 parentgeo.verts.append(newpoint)
 308         for i in range(count):
 309             a = parentgeo.verts[self.points[i]]
 310             b = parentgeo.verts[self.points[i + 1]]
 311             line = edge(a, b)
 312             self.edges.append(len(parentgeo.edges))
 313             parentgeo.edges.append(line)
 314
 315
 316 class facefill:
 317     def __init__(self, upper, lower, reverseflag, parentgeo, finish):
 318         for i in range(finish):
 319             a, b, c = upper.points[i], lower.points[i + 1], lower.points[i]
 320             if reverseflag:
 321                 upface = face([parentgeo.verts[a], parentgeo.verts[c], parentgeo.verts[b]])
 322             else:
 323                 upface = face([parentgeo.verts[a], parentgeo.verts[b], parentgeo.verts[c]])
 324             parentgeo.faces.append(upface)
 325             if i == finish - 1:
 326                 pass
 327             else:
 328                 d = upper.points[i + 1]
 329                 if reverseflag:
 330                     downface = face([parentgeo.verts[b], parentgeo.verts[d], parentgeo.verts[a]])
 331                 else:
 332                     downface = face([parentgeo.verts[b], parentgeo.verts[a], parentgeo.verts[d]])
 333                 line = edge(parentgeo.verts[a], parentgeo.verts[b])
 334                 line2 = edge(parentgeo.verts[d], parentgeo.verts[b])
 335                 parentgeo.faces.append(downface)
 336                 parentgeo.edges.append(line)
 337                 parentgeo.edges.append(line2)
 338
 339
 340 class panel:
 341     def __init__(self, points, edges, reverseflag, parentgeo):
 342         self.cardinal = points[0]
 343         self.leftv = points[1]
 344         self.rightv = points[2]
 345         self.leftedge = edges[0]
 346         self.rightedge = edges[1]
 347         self.baseedge = edges[2]
 348         self.rows = []
 349         self.orient(parentgeo, edges)
 350         self.createrows(parentgeo)
 351         self.createfaces(parentgeo, reverseflag)
 352
 353     def orient(self, parentgeo, edges):
 354         if self.leftedge.points[0] != self.cardinal.index:
 355             self.leftedge.points.reverse()
 356             self.leftedge.vect.negative()
 357
 358         if self.rightedge.points[0] != self.cardinal.index:
 359             self.rightedge.points.reverse()
 360             self.rightedge.vect.negative()
 361
 362         if self.baseedge.points[0] != self.leftv.index:
 363
 364             self.baseedge.points.reverse()
 365             self.baseedge.vect.negative()
 366
 367     def createrows(self, parentgeo):
 368         for i in range(len(self.leftedge.points)):
 369             if i == parentgeo.frequency:
 370                 newrow = self.baseedge
 371             else:
 372                 newrow = edgerow(i, parentgeo.verts[self.leftedge.points[i]], self.leftedge.points[i],
 373                                 self.rightedge.points[i], self.baseedge.step, 0, parentgeo)
 374             self.rows.append(newrow)
 375
 376     def createfaces(self, parentgeo, reverseflag):
 377         for i in range(len(self.leftedge.points) - 1):
 378             facefill(self.rows[i], self.rows[i + 1], reverseflag, parentgeo, len(self.rows[i].points))
 379
 380
 381 # for point on top?  YES!
 382 class tetrahedron(geodesic, mesh):
 383     def __init__(self, parameter):
 384         geodesic.__init__(mesh)
 385         geodesic.setparameters(self, parameter)
 386         self.set_vert_edge_skeleons()
 387
 388     def set_vert_edge_skeleons(self):
 389         self.vertskeleton = [vertex((0.0, 0.0, 1.73205080757)),
 390                             vertex((0.0, -1.63299316185, -0.577350269185)),
 391                             vertex((1.41421356237, 0.816496580927, -0.57735026919)),
 392                             vertex((-1.41421356237, 0.816496580927, -0.57735026919))]
 393
 394         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 395                             edge(self.vertskeleton[0], self.vertskeleton[2]),
 396                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 397                             edge(self.vertskeleton[1], self.vertskeleton[2]),
 398                             edge(self.vertskeleton[2], self.vertskeleton[3]),
 399                             edge(self.vertskeleton[1], self.vertskeleton[3])]
 400
 401         self.panelpoints = [[0, 1, 2], [0, 2, 3], [0, 1, 3], [1, 2, 3]]
 402         self.paneledges = [[0, 1, 3], [1, 2, 4], [0, 2, 5], [3, 5, 4]]
 403         self.reversepanel = [2, 3]
 404         self.edgelength = []
 405         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 406
 407
 408 # for edge on top? YES
 409 class tetraedge(geodesic):
 410     def __init__(self, parameter):
 411         geodesic.__init__(mesh)
 412         geodesic.setparameters(self, parameter)
 413         self.set_vert_edge_skeleons()
 414
 415     def set_vert_edge_skeleons(self):
 416         self.vertskeleton = [vertex((0.0, -1.41421356237, 1.0)),
 417                             vertex((0.0, 1.41421356237, 1.0)),
 418                             vertex((1.41421356237, 0.0, -1.0)),
 419                             vertex((-1.41421356237, 0.0, -1.0))]
 420
 421         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 422                             edge(self.vertskeleton[0], self.vertskeleton[2]),
 423                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 424                             edge(self.vertskeleton[1], self.vertskeleton[3]),
 425                             edge(self.vertskeleton[1], self.vertskeleton[2]),
 426                             edge(self.vertskeleton[2], self.vertskeleton[3])]
 427
 428         for i in range(len(self.vertskeleton)):
 429             self.vertskeleton[i].index = i
 430
 431         self.panelpoints = [[0, 1, 2], [1, 2, 3], [0, 1, 3], [0, 2, 3]]
 432         self.paneledges = [[0, 1, 4], [4, 3, 5], [0, 2, 3], [1, 2, 5]]
 433         self.reversepanel = [0, 3]
 434         self.edgelength = []
 435         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 436
 437
 438 # for face on top? YES
 439 class tetraface(geodesic):
 440     def __init__(self, parameter):
 441         geodesic.__init__(mesh)
 442         geodesic.setparameters(self, parameter)
 443         self.set_vert_edge_skeleons()
 444
 445     def set_vert_edge_skeleons(self):
 446         self.vertskeleton = [vertex((-1.41421356237, -0.816496580927, 0.57735026919)),
 447                             vertex((1.41421356237, -0.816496580927, 0.57735026919)),
 448                             vertex((0.0, 1.63299316185, 0.577350269185)),
 449                             vertex((0.0, 0.0, -1.73205080757))]
 450
 451         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 452                             edge(self.vertskeleton[2], self.vertskeleton[1]),
 453                             edge(self.vertskeleton[2], self.vertskeleton[0]),
 454                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 455                             edge(self.vertskeleton[1], self.vertskeleton[3]),
 456                             edge(self.vertskeleton[2], self.vertskeleton[3])
 457                                 ]
 458         self.panelpoints = [[2, 0, 1], [0, 1, 3], [2, 1, 3], [2, 0, 3]]
 459
 460         self.paneledges = [[2, 1, 0], [0, 3, 4], [1, 5, 4], [2, 5, 3]]
 461         self.reversepanel = [1, 3]
 462         self.edgelength = []
 463         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 464
 465
 466 class octahedron(geodesic):
 467     def __init__(self, parameter):
 468         geodesic.__init__(mesh)
 469         geodesic.setparameters(self, parameter)
 470         self.set_vert_edge_skeleons()
 471
 472     def set_vert_edge_skeleons(self):
 473         self.vertskeleton = [vertex((0.0, 0.0, 1.0)),
 474                             vertex((0.0, 1.0, 0.0)),
 475                             vertex((-1.0, 0.0, 0.0)),
 476                             vertex((0.0, -1.0, 0.0)),
 477                             vertex((1.0, 0.0, 0.0)),
 478                             vertex((0.0, 0.0, -1.0))]
 479
 480         for i in range(len(self.vertskeleton)):
 481             self.vertskeleton[i].index = i
 482         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 483                             edge(self.vertskeleton[0], self.vertskeleton[2]),
 484                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 485                             edge(self.vertskeleton[0], self.vertskeleton[4]),
 486                             edge(self.vertskeleton[1], self.vertskeleton[2]),
 487                             edge(self.vertskeleton[2], self.vertskeleton[3]),
 488                             edge(self.vertskeleton[3], self.vertskeleton[4]),
 489                             edge(self.vertskeleton[4], self.vertskeleton[1]),
 490                             edge(self.vertskeleton[1], self.vertskeleton[5]),
 491                             edge(self.vertskeleton[2], self.vertskeleton[5]),
 492                             edge(self.vertskeleton[3], self.vertskeleton[5]),
 493                             edge(self.vertskeleton[4], self.vertskeleton[5])]
 494
 495         self.panelpoints = [[0, 1, 2], [0, 2, 3], [0, 3, 4], [0, 4, 1], [1, 2, 5],
 496                             [2, 3, 5], [3, 4, 5], [4, 1, 5]]
 497         self.paneledges = [[0, 1, 4], [1, 2, 5], [2, 3, 6], [3, 0, 7], [4, 8, 9],
 498                             [5, 9, 10], [6, 10, 11], [7, 11, 8]]
 499         self.reversepanel = [4, 5, 6, 7]
 500         self.edgelength = []
 501         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 502
 503
 504 class octaedge(geodesic):
 505     def __init__(self, parameter):
 506         geodesic.__init__(mesh)
 507         geodesic.setparameters(self, parameter)
 508         self.set_vert_edge_skeleons()
 509
 510     def set_vert_edge_skeleons(self):
 511         self.vertskeleton = [vertex((0.0, -0.707106781187, 0.707106781187)),
 512                             vertex((0.0, 0.707106781187, 0.707106781187)),
 513                             vertex((1.0, 0.0, 0.0)),
 514                             vertex((-1.0, 0.0, 0.0)),
 515                             vertex((0.0, -0.707106781187, -0.707106781187)),
 516                             vertex((0.0, 0.707106781187, -0.707106781187))]
 517
 518         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 519                             edge(self.vertskeleton[0], self.vertskeleton[4]),
 520                             edge(self.vertskeleton[0], self.vertskeleton[2]),
 521                             edge(self.vertskeleton[1], self.vertskeleton[2]),
 522                             edge(self.vertskeleton[1], self.vertskeleton[5]),
 523                             edge(self.vertskeleton[1], self.vertskeleton[3]),
 524                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 525                             edge(self.vertskeleton[2], self.vertskeleton[4]),
 526                             edge(self.vertskeleton[2], self.vertskeleton[5]),
 527                             edge(self.vertskeleton[3], self.vertskeleton[5]),
 528                             edge(self.vertskeleton[3], self.vertskeleton[4]),
 529                             edge(self.vertskeleton[4], self.vertskeleton[5])]
 530
 531         self.panelpoints = [[0, 1, 2], [0, 1, 3], [0, 2, 4], [1, 2, 5], [1, 3, 5],
 532                             [0, 3, 4], [2, 4, 5], [3, 4, 5]]
 533         self.paneledges = [[0, 2, 3], [0, 6, 5], [2, 1, 7], [3, 4, 8], [5, 4, 9],
 534                            [6, 1, 10], [7, 8, 11], [10, 9, 11]]
 535
 536         self.reversepanel = [0, 2, 4, 7]
 537         self.edgelength = []
 538         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 539
 540
 541 class octaface(geodesic):
 542     def __init__(self, parameter):
 543         geodesic.__init__(mesh)
 544         geodesic.setparameters(self, parameter)
 545         self.set_vert_edge_skeleons()
 546
 547     def set_vert_edge_skeleons(self):
 548         self.vertskeleton = [vertex((0.408248458663, -0.707106781187, 0.577350150255)),
 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                             vertex((0.816496412728, 0.0, -0.577350507059)),
 553                             vertex((-0.408248458663, 0.707106781187, -0.577350150255))]
 554
 555         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 556                             edge(self.vertskeleton[2], self.vertskeleton[1]),
 557                             edge(self.vertskeleton[2], self.vertskeleton[0]),
 558                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 559                             edge(self.vertskeleton[0], self.vertskeleton[4]),
 560                             edge(self.vertskeleton[1], self.vertskeleton[4]),
 561                             edge(self.vertskeleton[1], self.vertskeleton[5]),
 562                             edge(self.vertskeleton[2], self.vertskeleton[5]),
 563                             edge(self.vertskeleton[2], self.vertskeleton[3]),
 564                             edge(self.vertskeleton[3], self.vertskeleton[4]),
 565                             edge(self.vertskeleton[4], self.vertskeleton[5]),
 566                             edge(self.vertskeleton[3], self.vertskeleton[5])]
 567
 568         self.panelpoints = [[2, 0, 1], [0, 3, 4], [0, 1, 4], [1, 4, 5],
 569                             [2, 1, 5], [2, 3, 5], [2, 0, 3], [3, 4, 5]]
 570
 571         self.paneledges = [[2, 1, 0], [3, 4, 9], [0, 4, 5], [5, 6, 10],
 572                            [1, 7, 6], [8, 7, 11], [2, 8, 3], [9, 11, 10]]
 573
 574         self.reversepanel = [2, 5, 6, 7]
 575         self.edgelength = []
 576         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 577
 578
 579 class icosahedron(geodesic):
 580     def __init__(self, parameter):
 581         geodesic.__init__(mesh)
 582         geodesic.setparameters(self, parameter)
 583         self.set_vert_edge_skeleons()
 584
 585     def set_vert_edge_skeleons(self):
 586         self.vertskeleton = [vertex((0.0, 0.0, 0.587785252292)),
 587                             vertex((0.0, -0.525731096637, 0.262865587024)),
 588                             vertex((0.5, -0.162459832634, 0.262865565628)),
 589                             vertex((0.309016994375, 0.425325419658, 0.262865531009)),
 590                             vertex((-0.309016994375, 0.425325419658, 0.262865531009)),
 591                             vertex((-0.5, -0.162459832634, 0.262865565628)),
 592                             vertex((0.309016994375, -0.425325419658, -0.262865531009)),
 593                             vertex((0.5, 0.162459832634, -0.262865565628)),
 594                             vertex((0.0, 0.525731096637, -0.262865587024)),
 595                             vertex((-0.5, 0.162459832634, -0.262865565628)),
 596                             vertex((-0.309016994375, -0.425325419658, -0.262865531009)),
 597                             vertex((0.0, 0.0, -0.587785252292))]
 598
 599         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 600                             edge(self.vertskeleton[0], self.vertskeleton[2]),
 601                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 602                             edge(self.vertskeleton[0], self.vertskeleton[4]),
 603                             edge(self.vertskeleton[0], self.vertskeleton[5]),
 604                             edge(self.vertskeleton[1], self.vertskeleton[2]),
 605                             edge(self.vertskeleton[2], self.vertskeleton[3]),
 606                             edge(self.vertskeleton[3], self.vertskeleton[4]),
 607                             edge(self.vertskeleton[4], self.vertskeleton[5]),
 608                             edge(self.vertskeleton[5], self.vertskeleton[1]),
 609                             edge(self.vertskeleton[1], self.vertskeleton[6]),
 610                             edge(self.vertskeleton[2], self.vertskeleton[6]),
 611                             edge(self.vertskeleton[2], self.vertskeleton[7]),
 612                             edge(self.vertskeleton[3], self.vertskeleton[7]),
 613                             edge(self.vertskeleton[3], self.vertskeleton[8]),
 614                             edge(self.vertskeleton[4], self.vertskeleton[8]),
 615                             edge(self.vertskeleton[4], self.vertskeleton[9]),
 616                             edge(self.vertskeleton[5], self.vertskeleton[9]),
 617                             edge(self.vertskeleton[5], self.vertskeleton[10]),
 618                             edge(self.vertskeleton[1], self.vertskeleton[10]),
 619                             edge(self.vertskeleton[6], self.vertskeleton[7]),
 620                             edge(self.vertskeleton[7], self.vertskeleton[8]),
 621                             edge(self.vertskeleton[8], self.vertskeleton[9]),
 622                             edge(self.vertskeleton[9], self.vertskeleton[10]),
 623                             edge(self.vertskeleton[10], self.vertskeleton[6]),
 624                             edge(self.vertskeleton[6], self.vertskeleton[11]),
 625                             edge(self.vertskeleton[7], self.vertskeleton[11]),
 626                             edge(self.vertskeleton[8], self.vertskeleton[11]),
 627                             edge(self.vertskeleton[9], self.vertskeleton[11]),
 628                             edge(self.vertskeleton[10], self.vertskeleton[11])]
 629
 630         self.panelpoints = [[0, 1, 2], [0, 2, 3], [0, 3, 4], [0, 4, 5], [0, 5, 1], [1, 2, 6],
 631                             [2, 6, 7], [2, 3, 7], [3, 7, 8], [3, 4, 8], [4, 8, 9], [4, 5, 9],
 632                             [5, 9, 10], [5, 1, 10], [1, 10, 6], [6, 7, 11], [7, 8, 11],
 633                             [8, 9, 11], [9, 10, 11], [10, 6, 11]]
 634
 635         self.paneledges = [[0, 1, 5], [1, 2, 6], [2, 3, 7], [3, 4, 8], [4, 0, 9], [5, 10, 11],
 636                            [11, 12, 20], [6, 12, 13], [13, 14, 21], [7, 14, 15], [15, 16, 22],
 637                            [8, 16, 17], [17, 18, 23], [9, 18, 19], [19, 10, 24], [20, 25, 26],
 638                            [21, 26, 27], [22, 27, 28], [23, 28, 29], [24, 29, 25]]
 639
 640         self.reversepanel = [5, 7, 9, 11, 13, 15, 16, 17, 18, 19]
 641         self.edgelength = []
 642         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 643
 644
 645 class icoedge(geodesic):
 646     def __init__(self, parameter):
 647         geodesic.__init__(mesh)
 648         geodesic.setparameters(self, parameter)
 649         self.set_vert_edge_skeleons()
 650
 651     def set_vert_edge_skeleons(self):
 652         self.vertskeleton = [vertex((0, 0.309016994375, 0.5)),
 653                             vertex((0, -0.309016994375, 0.5)),
 654                             vertex((-0.5, 0, 0.309016994375)),
 655                             vertex((0.5, 0, 0.309016994375)),
 656                             vertex((-0.309016994375, -0.5, 0)),
 657                             vertex((0.309016994375, -0.5, 0)),
 658                             vertex((0.309016994375, 0.5, 0)),
 659                             vertex((-0.309016994375, 0.5, 0)),
 660                             vertex((-0.5, 0, -0.309016994375)),
 661                             vertex((0.5, 0, -0.309016994375)),
 662                             vertex((0, 0.309016994375, -0.5)),
 663                             vertex((0, -0.309016994375, -0.5))]
 664
 665         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 666                             edge(self.vertskeleton[0], self.vertskeleton[7]),
 667                             edge(self.vertskeleton[0], self.vertskeleton[2]),
 668                             edge(self.vertskeleton[1], self.vertskeleton[2]),
 669                             edge(self.vertskeleton[1], self.vertskeleton[4]),
 670                             edge(self.vertskeleton[1], self.vertskeleton[5]),
 671                             edge(self.vertskeleton[1], self.vertskeleton[3]),
 672                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 673                             edge(self.vertskeleton[0], self.vertskeleton[6]),
 674                             edge(self.vertskeleton[2], self.vertskeleton[7]),
 675                             edge(self.vertskeleton[2], self.vertskeleton[8]),
 676                             edge(self.vertskeleton[2], self.vertskeleton[4]),
 677                             edge(self.vertskeleton[4], self.vertskeleton[5]),
 678                             edge(self.vertskeleton[3], self.vertskeleton[5]),
 679                             edge(self.vertskeleton[3], self.vertskeleton[9]),
 680                             edge(self.vertskeleton[3], self.vertskeleton[6]),
 681                             edge(self.vertskeleton[6], self.vertskeleton[7]),
 682                             edge(self.vertskeleton[7], self.vertskeleton[10]),
 683                             edge(self.vertskeleton[7], self.vertskeleton[8]),
 684                             edge(self.vertskeleton[4], self.vertskeleton[8]),
 685                             edge(self.vertskeleton[4], self.vertskeleton[11]),
 686                             edge(self.vertskeleton[5], self.vertskeleton[11]),
 687                             edge(self.vertskeleton[5], self.vertskeleton[9]),
 688                             edge(self.vertskeleton[6], self.vertskeleton[9]),
 689                             edge(self.vertskeleton[6], self.vertskeleton[10]),
 690                             edge(self.vertskeleton[8], self.vertskeleton[10]),
 691                             edge(self.vertskeleton[8], self.vertskeleton[11]),
 692                             edge(self.vertskeleton[9], self.vertskeleton[11]),
 693                             edge(self.vertskeleton[9], self.vertskeleton[10]),
 694                             edge(self.vertskeleton[10], self.vertskeleton[11])]
 695
 696         self.panelpoints = [[0, 1, 2], [0, 1, 3], [0, 2, 7], [1, 2, 4], [1, 4, 5],
 697                             [1, 3, 5], [0, 3, 6], [0, 6, 7], [2, 7, 8], [2, 4, 8],
 698                             [3, 5, 9], [3, 6, 9], [7, 8, 10], [4, 8, 11], [4, 5, 11],
 699                             [5, 9, 11], [6, 9, 10], [6, 7, 10], [8, 10, 11], [9, 10, 11]]
 700
 701         self.paneledges = [[0, 2, 3], [0, 7, 6], [2, 1, 9], [3, 4, 11], [4, 5, 12], [6, 5, 13],
 702                            [7, 8, 15], [8, 1, 16], [9, 10, 18], [11, 10, 19], [13, 14, 22],
 703                            [15, 14, 23], [18, 17, 25], [19, 20, 26], [12, 20, 21], [22, 21, 27],
 704                            [23, 24, 28], [16, 24, 17], [25, 26, 29], [28, 27, 29]]
 705
 706         self.reversepanel = [0, 2, 5, 9, 11, 12, 14, 15, 17, 19]
 707         self.edgelength = []
 708         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 709
 710
 711 class icoface(geodesic):
 712     def __init__(self, parameter):
 713         geodesic.__init__(mesh)
 714         geodesic.setparameters(self, parameter)
 715         self.set_vert_edge_skeleons()
 716
 717     def set_vert_edge_skeleons(self):
 718         self.vertskeleton = [vertex((-0.17841104489, 0.309016994375, 0.46708617948)),
 719                             vertex((-0.17841104489, -0.309016994375, 0.46708617948)),
 720                             vertex((0.35682208977, 0.0, 0.467086179484)),
 721                             vertex((-0.57735026919, 0.0, 0.110264089705)),
 722                             vertex((-0.288675134594, -0.5, -0.11026408971)),
 723                             vertex((0.288675134594, -0.5, 0.11026408971)),
 724                             vertex((0.57735026919, 0.0, -0.110264089705)),
 725                             vertex((0.288675134594, 0.5, 0.11026408971)),
 726                             vertex((-0.288675134594, 0.5, -0.11026408971)),
 727                             vertex((-0.35682208977, 0.0, -0.467086179484)),
 728                             vertex((0.17841104489, -0.309016994375, -0.46708617948)),
 729                             vertex((0.17841104489, 0.309016994375, -0.46708617948))]
 730
 731         self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
 732                             edge(self.vertskeleton[2], self.vertskeleton[1]),
 733                             edge(self.vertskeleton[2], self.vertskeleton[0]),
 734                             edge(self.vertskeleton[0], self.vertskeleton[3]),
 735                             edge(self.vertskeleton[1], self.vertskeleton[3]),
 736                             edge(self.vertskeleton[1], self.vertskeleton[4]),
 737                             edge(self.vertskeleton[1], self.vertskeleton[5]),
 738                             edge(self.vertskeleton[2], self.vertskeleton[5]),
 739                             edge(self.vertskeleton[2], self.vertskeleton[6]),
 740                             edge(self.vertskeleton[2], self.vertskeleton[7]),
 741                             edge(self.vertskeleton[0], self.vertskeleton[7]),
 742                             edge(self.vertskeleton[0], self.vertskeleton[8]),
 743                             edge(self.vertskeleton[3], self.vertskeleton[9]),
 744                             edge(self.vertskeleton[3], self.vertskeleton[4]),
 745                             edge(self.vertskeleton[5], self.vertskeleton[4]),
 746                             edge(self.vertskeleton[5], self.vertskeleton[10]),
 747                             edge(self.vertskeleton[5], self.vertskeleton[6]),
 748                             edge(self.vertskeleton[7], self.vertskeleton[6]),
 749                             edge(self.vertskeleton[7], self.vertskeleton[11]),
 750                             edge(self.vertskeleton[7], self.vertskeleton[8]),
 751                             edge(self.vertskeleton[3], self.vertskeleton[8]),
 752                             edge(self.vertskeleton[4], self.vertskeleton[9]),
 753                             edge(self.vertskeleton[4], self.vertskeleton[10]),
 754                             edge(self.vertskeleton[6], self.vertskeleton[10]),
 755                             edge(self.vertskeleton[6], self.vertskeleton[11]),
 756                             edge(self.vertskeleton[8], self.vertskeleton[11]),
 757                             edge(self.vertskeleton[8], self.vertskeleton[9]),
 758                             edge(self.vertskeleton[9], self.vertskeleton[10]),
 759                             edge(self.vertskeleton[11], self.vertskeleton[10]),
 760                             edge(self.vertskeleton[11], self.vertskeleton[9])]
 761
 762         self.panelpoints = [[2, 0, 1], [0, 1, 3], [2, 1, 5], [2, 0, 7], [1, 3, 4], [1, 5, 4],
 763                             [2, 5, 6], [2, 7, 6], [0, 7, 8], [0, 3, 8], [3, 4, 9], [5, 4, 10],
 764                             [5, 6, 10], [7, 6, 11], [7, 8, 11], [3, 8, 9], [4, 9, 10],
 765                             [6, 11, 10], [8, 11, 9], [11, 9, 10]]
 766
 767         self.paneledges = [[2, 1, 0], [0, 3, 4], [1, 7, 6], [2, 9, 10], [4, 5, 13], [6, 5, 14],
 768                            [7, 8, 16], [9, 8, 17], [10, 11, 19], [3, 11, 20], [13, 12, 21],
 769                            [14, 15, 22], [16, 15, 23], [17, 18, 24], [19, 18, 25], [20, 12, 26],
 770                            [21, 22, 27], [24, 23, 28], [25, 26, 29], [29, 28, 27]]
 771
 772         self.reversepanel = [1, 3, 5, 7, 9, 10, 12, 14, 17, 19]
 773         self.edgelength = []
 774         self.vertsdone = [[0, 0]] * len(self.vertskeleton)
 775
 776
 777 # PKHG TODO this does not work yet ...
 778 def creategeo(geo, polytype, orientation, parameters):
 779
 780     if polytype == 'Tetrahedron':
 781         if orientation == 'PointUp':
 782             my_tetrahedron = tetrahedron(geodesic)
 783             my_tetrahedron.set_vert_edge_skeleons()
 784             my_tetrahedron.config()
 785             check_contains(my_tetrahedron, "my_tetra", True)
 786             vefm_add_object(geo)
 787         elif orientation == 'EdgeUp':
 788             geo = tetraedge(parameters)
 789         else:  # orientation == 2:
 790             geo = tetraface(parameters)
 791     elif polytype == 'Octahedron':
 792         if orientation == 'PointUp':
 793             geo = octahedron(parameters)
 794         elif orientation == 'EdgeUp':
 795             geo = octaedge(parameters)
 796         else:  # if orientation == 2:
 797             geo = octaface(parameters)
 798     elif polytype == 'Icosahedron':
 799         if orientation == 'PointUp':
 800             geo = icosahedron(parameters)
 801         elif orientation == 'EdgeUp':
 802             geo = icoedge(parameters)
 803         else:  # if orientation == 2:
 804             geo = icoface(parameters)
 805
 806     return geo