Separated geodesic_domes from add_mesh_extra_objects

1 files changed, 804 insertions, 0 deletions

diff --git a/add_mesh_geodesic_domes/geodesic_classes_271.py b/add_mesh_geodesic_domes/geodesic_classes_271.py
new file mode 100644
index 00000000..6f54bff7
--- /dev/null
+++ b/add_mesh_geodesic_domes/geodesic_classes_271.py
@@ -0,0 +1,804 @@
+from .vefm_271 import mesh, vertex, edge, face
+from math import pi, acos, sin, cos, atan, tan, fabs, sqrt
+
+
+def check_contains(cl, name, print_value=False):
+    dir_class = dir(cl)
+    for el in dir_class:
+        if el.startswith("_"):
+            pass
+        else:
+            if print_value:
+                tmp = getattr(cl, el)
+                print(name, " contains ==>", el, " value = ", tmp)
+            else:
+                print(name, " contains ==>", el)
+    print("\ncheck_contains finished\n\n")
+
+
+class geodesic(mesh):
+
+    def __init__(self):
+        mesh.__init__(self)
+        self.PKHG_parameters = None
+
+        self.panels = []
+        self.vertsdone = []
+        self.skeleton = []      # List of verts in the full skeleton edges.
+        self.vertskeleton = []  # config needs this member
+        self.edgeskeleton = []  # config needs this member
+        self.sphericalverts = []
+        self.a45 = pi * 0.25
+        self.a90 = pi * 0.5
+        self.a180 = pi
+        self.a270 = pi * 1.5
+        self.a360 = pi * 2
+        # define members here
+        # setparams needs:
+        self.frequency = None
+        self.eccentricity = None
+        self.squish = None
+        self.radius = None
+        self.square = None
+        self.squarez = None
+        self.cart = None
+        self.shape = None
+        self.baselevel = None
+        self.faceshape = None
+        self.dualflag = None
+        self.rotxy = None
+        self.rotz = None
+        self.klass = None
+        self.sform = None
+        self.super = None
+        self.odd = None
+        # config needs
+        self.panelpoints = None
+        self.paneledges = None
+        self.reversepanel = None
+        self.edgelength = None
+        self.vertsdone = None
+        self.panels = []
+
+    def setparameters(self, params):
+        parameters = self.PKHG_parameters = params
+        self.frequency = parameters[0]     # How many subdivisions - up to 20.
+        self.eccentricity = parameters[1]  # Elliptical if >1.0.
+        self.squish = parameters[2]        # Flattened if < 1.0.
+        self.radius = parameters[3]        # Exactly what it says.
+        self.square = parameters[4]        # Controls amount of superellipse in X/Y plane.
+        self.squarez = parameters[5]       # Controls amount of superellipse in Z dimension.
+        self.cart = parameters[6]          # Cuts out sphericalisation step.
+        self.shape = parameters[7]         # Full sphere, dome, flatbase.
+        self.baselevel = parameters[8]     # Where the base is cut on a flatbase dome.
+        self.faceshape = parameters[9]     # Triangular, hexagonal, tri-hex.
+        self.dualflag = parameters[10]
+        self.rotxy = parameters[11]
+        self.rotz = parameters[12]
+        self.klass = parameters[13]
+        self.sform = parameters[14]
+        self.super = 0                  # Toggles superellipse.
+        if self.square != 2.0 or self.squarez != 2.0:
+            self.super = 1
+        self.odd = 0                    # Is the frequency odd. It matters for dome building.
+        if self.frequency % 2 != 0:
+            self.odd = 1
+
+    def makegeodesic(self):
+        self.vertedgefacedata()         # PKHG only a pass 13okt11
+        self.config()                   # Generate all the configuration information.
+        if self.klass:
+            self.class2()
+        if self.faceshape == 1:
+            self.hexify()               # Hexagonal faces
+        elif self.faceshape == 2:
+            self.starify()              # Hex and Triangle faces
+        if self.dualflag:
+            self.dual()
+        if not self.cart:
+            self.sphericalize()         # Convert x,y,z positions into spherical u,v.
+        self.sphere2cartesian()         # Convert spherical uv back into cartesian x,y,z for final shape.
+        for i in range(len(self.verts)):
+            self.verts[i].index = i
+        for edg in self.edges:
+            edg.findvect()
+
+    def vertedgefacedata(self):
+        pass
+
+    def config(self):
+        for i in range(len(self.vertskeleton)):
+            self.vertskeleton[i].index = i
+        for edges in self.edgeskeleton:
+            s = skeletonrow(self.frequency, edges, 0, self)  # self a geodesic
+            self.skeleton.append(s)
+        for i in range(len(self.verts)):
+            self.verts[i].index = i
+        for i in range(len(self.panelpoints)):
+            a = self.vertsdone[self.panelpoints[i][0]][1]
+            b = self.vertsdone[self.panelpoints[i][1]][1]
+            c = self.vertsdone[self.panelpoints[i][2]][1]
+            panpoints = [self.verts[a],
+                        self.verts[b],
+                        self.verts[c]]
+            panedges = [self.skeleton[self.paneledges[i][0]],
+                        self.skeleton[self.paneledges[i][1]],
+                        self.skeleton[self.paneledges[i][2]]]
+            reverseflag = 0
+            for flag in self.reversepanel:
+                if flag == i:
+                    reverseflag = 1
+            p = panel(panpoints, panedges, reverseflag, self)
+
+    def sphericalize(self):
+        if self.shape == 2:
+            self.cutbasecomp()
+        for vert in(self.verts):
+
+            x = vert.vector.x
+            y = vert.vector.y
+            z = vert.vector.z
+
+            u = self.usphericalise(x, y, z)
+            v = self.vsphericalise(x, y, z)
+            self.sphericalverts.append([u, v])
+
+    def sphere2cartesian(self):
+        for i in range(len(self.verts)):
+            if self.cart:
+
+                x = self.verts[i].vector.x * self.radius * self.eccentricity
+                y = self.verts[i].vector.y * self.radius
+                z = self.verts[i].vector.z * self.radius * self.squish
+            else:
+                u = self.sphericalverts[i][0]
+                v = self.sphericalverts[i][1]
+                if self.squish != 1.0 or self.eccentricity > 1.0:
+                    scalez = 1 / self.squish
+                    v = self.ellipsecomp(scalez, v)
+                    u = self.ellipsecomp(self.eccentricity, u)
+                if self.super:
+                    r1 = self.superell(self.square, u, self.rotxy)
+                    r2 = self.superell(self.squarez, v, self.rotz)
+                else:
+                    r1 = 1.0
+                    r2 = 1.0
+
+                if self.sform[12]:
+                    r1 = r1 * self.superform(self.sform[0], self.sform[1],
+                                             self.sform[2], self.sform[3],
+                                             self.sform[14] + u, self.sform[4],
+                                             self.sform[5], self.sform[16] * v)
+                if self.sform[13]:
+                    r2 = r2 * self.superform(self.sform[6], self.sform[7],
+                                             self.sform[8], self.sform[9],
+                                             self.sform[15] + v, self.sform[10],
+                                             self.sform[11], self.sform[17] * v)
+                x, y, z = self.cartesian(u, v, r1, r2)
+
+            self.verts[i] = vertex((x, y, z))
+
+    def usphericalise(self, x, y, z):
+        if y == 0.0:
+            if x > 0:
+                theta = 0.0
+            else:
+                theta = self.a180
+        elif x == 0.0:
+            if y > 0:
+                theta = self.a90
+            else:
+                theta = self.a270
+        else:
+            theta = atan(y / x)
+
+        if x < 0.0 and y < 0.0:
+            theta = theta + self.a180
+        elif x < 0.0 and y > 0.0:
+            theta = theta + self.a180
+        u = theta
+        return u
+
+    def vsphericalise(self, x, y, z):
+        if z == 0.0:
+            phi = self.a90
+        else:
+            rho = sqrt(x ** 2 + y ** 2 + z ** 2)
+            phi = acos(z / rho)
+        v = phi
+        return v
+
+    def ellipsecomp(self, efactor, theta):
+        if theta == self.a90:
+            result = self.a90
+        elif theta == self.a270:
+            result = self.a270
+        else:
+            result = atan(tan(theta) / efactor**0.5)
+            if result >= 0.0:
+                x = result
+                y = self.a180 + result
+                if fabs(x - theta) <= fabs(y - theta):
+                    result = x
+                else:
+                    result = y
+            else:
+                x = self.a180 + result
+                y = result
+
+                if fabs(x - theta) <= fabs(y - theta):
+                    result = x
+                else:
+                    result = y
+        return result
+
+    def cutbasecomp(self):
+        pass
+
+    def cartesian(self, u, v, r1, r2):
+        x = r1 * cos(u) * r2 * sin(v) * self.radius * self.eccentricity
+        y = r1 * sin(u) * r2 * sin(v) * self.radius
+        z = r2 * cos(v) * self.radius * self.squish
+        return x, y, z
+
+
+class edgerow:
+    def __init__(self, count, anchor, leftindex, rightindex, stepvector, endflag, parentgeo):
+        self.points = []
+        self.edges = []
+        # Make a row of evenly spaced points.
+        for i in range(count + 1):
+            if i == 0:
+                self.points.append(leftindex)
+            elif i == count and not endflag:
+                self.points.append(rightindex)
+            else:  # PKHG Vectors added!
+                newpoint = anchor + (stepvector * i)
+                vertcount = len(parentgeo.verts)
+                self.points.append(vertcount)
+                newpoint.index = vertcount
+                parentgeo.verts.append(newpoint)
+        for i in range(count):
+            a = parentgeo.verts[self.points[i]]
+            b = parentgeo.verts[self.points[i + 1]]
+            line = edge(a, b)
+            self.edges.append(len(parentgeo.edges))
+            parentgeo.edges.append(line)
+
+
+class skeletonrow:
+    def __init__(self, count, skeletonedge, shortflag, parentgeo):
+        self.points = []
+        self.edges = []
+        self.vect = skeletonedge.vect
+        self.step = skeletonedge.vect / float(count)
+        # Make a row of evenly spaced points.
+        for i in range(count + 1):
+            vert1 = skeletonedge.a
+            vert2 = skeletonedge.b
+            if i == 0:
+                if parentgeo.vertsdone[vert1.index][0]:
+                    self.points.append(parentgeo.vertsdone[vert1.index][1])
+                else:
+                    newpoint = vertex(vert1.vector)
+                    vertcount = len(parentgeo.verts)
+                    self.points.append(vertcount)
+                    newpoint.index = vertcount
+                    parentgeo.vertsdone[vert1.index] = [1, vertcount]
+                    parentgeo.verts.append(newpoint)
+
+            elif i == count:
+                if parentgeo.vertsdone[vert2.index][0]:
+                    self.points.append(parentgeo.vertsdone[vert2.index][1])
+                else:
+                    newpoint = vertex(vert2.vector)
+                    vertcount = len(parentgeo.verts)
+                    self.points.append(vertcount)
+                    newpoint.index = vertcount
+                    parentgeo.vertsdone[vert2.index] = [1, vertcount]
+                    parentgeo.verts.append(newpoint)
+            else:
+                newpoint = vertex(vert1.vector + (self.step * i))  # must be a vertex!
+                vertcount = len(parentgeo.verts)
+                self.points.append(vertcount)
+                newpoint.index = vertcount
+                parentgeo.verts.append(newpoint)
+        for i in range(count):
+            a = parentgeo.verts[self.points[i]]
+            b = parentgeo.verts[self.points[i + 1]]
+            line = edge(a, b)
+            self.edges.append(len(parentgeo.edges))
+            parentgeo.edges.append(line)
+
+
+class facefill:
+    def __init__(self, upper, lower, reverseflag, parentgeo, finish):
+        for i in range(finish):
+            a, b, c = upper.points[i], lower.points[i + 1], lower.points[i]
+            if reverseflag:
+                upface = face([parentgeo.verts[a], parentgeo.verts[c], parentgeo.verts[b]])
+            else:
+                upface = face([parentgeo.verts[a], parentgeo.verts[b], parentgeo.verts[c]])
+            parentgeo.faces.append(upface)
+            if i == finish - 1:
+                pass
+            else:
+                d = upper.points[i + 1]
+                if reverseflag:
+                    downface = face([parentgeo.verts[b], parentgeo.verts[d], parentgeo.verts[a]])
+                else:
+                    downface = face([parentgeo.verts[b], parentgeo.verts[a], parentgeo.verts[d]])
+                line = edge(parentgeo.verts[a], parentgeo.verts[b])
+                line2 = edge(parentgeo.verts[d], parentgeo.verts[b])
+                parentgeo.faces.append(downface)
+                parentgeo.edges.append(line)
+                parentgeo.edges.append(line2)
+
+
+class panel:
+    def __init__(self, points, edges, reverseflag, parentgeo):
+        self.cardinal = points[0]
+        self.leftv = points[1]
+        self.rightv = points[2]
+        self.leftedge = edges[0]
+        self.rightedge = edges[1]
+        self.baseedge = edges[2]
+        self.rows = []
+        self.orient(parentgeo, edges)
+        self.createrows(parentgeo)
+        self.createfaces(parentgeo, reverseflag)
+
+    def orient(self, parentgeo, edges):
+        if self.leftedge.points[0] != self.cardinal.index:
+            self.leftedge.points.reverse()
+            self.leftedge.vect.negative()
+
+        if self.rightedge.points[0] != self.cardinal.index:
+            self.rightedge.points.reverse()
+            self.rightedge.vect.negative()
+
+        if self.baseedge.points[0] != self.leftv.index:
+
+            self.baseedge.points.reverse()
+            self.baseedge.vect.negative()
+
+    def createrows(self, parentgeo):
+        for i in range(len(self.leftedge.points)):
+            if i == parentgeo.frequency:
+                newrow = self.baseedge
+            else:
+                newrow = edgerow(i, parentgeo.verts[self.leftedge.points[i]], self.leftedge.points[i],
+                                self.rightedge.points[i], self.baseedge.step, 0, parentgeo)
+            self.rows.append(newrow)
+
+    def createfaces(self, parentgeo, reverseflag):
+        for i in range(len(self.leftedge.points) - 1):
+            facefill(self.rows[i], self.rows[i + 1], reverseflag, parentgeo, len(self.rows[i].points))
+
+
+# for point on top?  YES!
+class tetrahedron(geodesic, mesh):
+    def __init__(self, parameter):
+        geodesic.__init__(mesh)
+        geodesic.setparameters(self, parameter)
+        self.set_vert_edge_skeleons()
+
+    def set_vert_edge_skeleons(self):
+        self.vertskeleton = [vertex((0.0, 0.0, 1.73205080757)),
+                            vertex((0.0, -1.63299316185, -0.577350269185)),
+                            vertex((1.41421356237, 0.816496580927, -0.57735026919)),
+                            vertex((-1.41421356237, 0.816496580927, -0.57735026919))]
+
+        self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
+                            edge(self.vertskeleton[0], self.vertskeleton[2]),
+                            edge(self.vertskeleton[0], self.vertskeleton[3]),
+                            edge(self.vertskeleton[1], self.vertskeleton[2]),
+                            edge(self.vertskeleton[2], self.vertskeleton[3]),
+                            edge(self.vertskeleton[1], self.vertskeleton[3])]
+
+        self.panelpoints = [[0, 1, 2], [0, 2, 3], [0, 1, 3], [1, 2, 3]]
+        self.paneledges = [[0, 1, 3], [1, 2, 4], [0, 2, 5], [3, 5, 4]]
+        self.reversepanel = [2, 3]
+        self.edgelength = []
+        self.vertsdone = [[0, 0]] * len(self.vertskeleton)
+
+
+# for edge on top? YES
+class tetraedge(geodesic):
+    def __init__(self, parameter):
+        geodesic.__init__(mesh)
+        geodesic.setparameters(self, parameter)
+        self.set_vert_edge_skeleons()
+
+    def set_vert_edge_skeleons(self):
+        self.vertskeleton = [vertex((0.0, -1.41421356237, 1.0)),
+                            vertex((0.0, 1.41421356237, 1.0)),
+                            vertex((1.41421356237, 0.0, -1.0)),
+                            vertex((-1.41421356237, 0.0, -1.0))]
+
+        self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
+                            edge(self.vertskeleton[0], self.vertskeleton[2]),
+                            edge(self.vertskeleton[0], self.vertskeleton[3]),
+                            edge(self.vertskeleton[1], self.vertskeleton[3]),
+                            edge(self.vertskeleton[1], self.vertskeleton[2]),
+                            edge(self.vertskeleton[2], self.vertskeleton[3])]
+
+        for i in range(len(self.vertskeleton)):
+            self.vertskeleton[i].index = i
+
+        self.panelpoints = [[0, 1, 2], [1, 2, 3], [0, 1, 3], [0, 2, 3]]
+        self.paneledges = [[0, 1, 4], [4, 3, 5], [0, 2, 3], [1, 2, 5]]
+        self.reversepanel = [0, 3]
+        self.edgelength = []
+        self.vertsdone = [[0, 0]] * len(self.vertskeleton)
+
+
+# for face on top? YES
+class tetraface(geodesic):
+    def __init__(self, parameter):
+        geodesic.__init__(mesh)
+        geodesic.setparameters(self, parameter)
+        self.set_vert_edge_skeleons()
+
+    def set_vert_edge_skeleons(self):
+        self.vertskeleton = [vertex((-1.41421356237, -0.816496580927, 0.57735026919)),
+                            vertex((1.41421356237, -0.816496580927, 0.57735026919)),
+                            vertex((0.0, 1.63299316185, 0.577350269185)),
+                            vertex((0.0, 0.0, -1.73205080757))]
+
+        self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
+                            edge(self.vertskeleton[2], self.vertskeleton[1]),
+                            edge(self.vertskeleton[2], self.vertskeleton[0]),
+                            edge(self.vertskeleton[0], self.vertskeleton[3]),
+                            edge(self.vertskeleton[1], self.vertskeleton[3]),
+                            edge(self.vertskeleton[2], self.vertskeleton[3])
+                                ]
+        self.panelpoints = [[2, 0, 1], [0, 1, 3], [2, 1, 3], [2, 0, 3]]
+
+        self.paneledges = [[2, 1, 0], [0, 3, 4], [1, 5, 4], [2, 5, 3]]
+        self.reversepanel = [1, 3]
+        self.edgelength = []
+        self.vertsdone = [[0, 0]] * len(self.vertskeleton)
+
+
+class octahedron(geodesic):
+    def __init__(self, parameter):
+        geodesic.__init__(mesh)
+        geodesic.setparameters(self, parameter)
+        self.set_vert_edge_skeleons()
+
+    def set_vert_edge_skeleons(self):
+        self.vertskeleton = [vertex((0.0, 0.0, 1.0)),
+                            vertex((0.0, 1.0, 0.0)),
+                            vertex((-1.0, 0.0, 0.0)),
+                            vertex((0.0, -1.0, 0.0)),
+                            vertex((1.0, 0.0, 0.0)),
+                            vertex((0.0, 0.0, -1.0))]
+
+        for i in range(len(self.vertskeleton)):
+            self.vertskeleton[i].index = i
+        self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
+                            edge(self.vertskeleton[0], self.vertskeleton[2]),
+                            edge(self.vertskeleton[0], self.vertskeleton[3]),
+                            edge(self.vertskeleton[0], self.vertskeleton[4]),
+                            edge(self.vertskeleton[1], self.vertskeleton[2]),
+                            edge(self.vertskeleton[2], self.vertskeleton[3]),
+                            edge(self.vertskeleton[3], self.vertskeleton[4]),
+                            edge(self.vertskeleton[4], self.vertskeleton[1]),
+                            edge(self.vertskeleton[1], self.vertskeleton[5]),
+                            edge(self.vertskeleton[2], self.vertskeleton[5]),
+                            edge(self.vertskeleton[3], self.vertskeleton[5]),
+                            edge(self.vertskeleton[4], self.vertskeleton[5])]
+
+        self.panelpoints = [[0, 1, 2], [0, 2, 3], [0, 3, 4], [0, 4, 1], [1, 2, 5],
+                            [2, 3, 5], [3, 4, 5], [4, 1, 5]]
+        self.paneledges = [[0, 1, 4], [1, 2, 5], [2, 3, 6], [3, 0, 7], [4, 8, 9],
+                            [5, 9, 10], [6, 10, 11], [7, 11, 8]]
+        self.reversepanel = [4, 5, 6, 7]
+        self.edgelength = []
+        self.vertsdone = [[0, 0]] * len(self.vertskeleton)
+
+
+class octaedge(geodesic):
+    def __init__(self, parameter):
+        geodesic.__init__(mesh)
+        geodesic.setparameters(self, parameter)
+        self.set_vert_edge_skeleons()
+
+    def set_vert_edge_skeleons(self):
+        self.vertskeleton = [vertex((0.0, -0.707106781187, 0.707106781187)),
+                            vertex((0.0, 0.707106781187, 0.707106781187)),
+                            vertex((1.0, 0.0, 0.0)),
+                            vertex((-1.0, 0.0, 0.0)),
+                            vertex((0.0, -0.707106781187, -0.707106781187)),
+                            vertex((0.0, 0.707106781187, -0.707106781187))]
+
+        self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
+                            edge(self.vertskeleton[0], self.vertskeleton[4]),
+                            edge(self.vertskeleton[0], self.vertskeleton[2]),
+                            edge(self.vertskeleton[1], self.vertskeleton[2]),
+                            edge(self.vertskeleton[1], self.vertskeleton[5]),
+                            edge(self.vertskeleton[1], self.vertskeleton[3]),
+                            edge(self.vertskeleton[0], self.vertskeleton[3]),
+                            edge(self.vertskeleton[2], self.vertskeleton[4]),
+                            edge(self.vertskeleton[2], self.vertskeleton[5]),
+                            edge(self.vertskeleton[3], self.vertskeleton[5]),
+                            edge(self.vertskeleton[3], self.vertskeleton[4]),
+                            edge(self.vertskeleton[4], self.vertskeleton[5])]
+
+        self.panelpoints = [[0, 1, 2], [0, 1, 3], [0, 2, 4], [1, 2, 5], [1, 3, 5],
+                            [0, 3, 4], [2, 4, 5], [3, 4, 5]]
+        self.paneledges = [[0, 2, 3], [0, 6, 5], [2, 1, 7], [3, 4, 8], [5, 4, 9],
+                           [6, 1, 10], [7, 8, 11], [10, 9, 11]]
+
+        self.reversepanel = [0, 2, 4, 7]
+        self.edgelength = []
+        self.vertsdone = [[0, 0]] * len(self.vertskeleton)
+
+
+class octaface(geodesic):
+    def __init__(self, parameter):
+        geodesic.__init__(mesh)
+        geodesic.setparameters(self, parameter)
+        self.set_vert_edge_skeleons()
+
+    def set_vert_edge_skeleons(self):
+        self.vertskeleton = [vertex((0.408248458663, -0.707106781187, 0.577350150255)),
+                            vertex((0.408248458663, 0.707106781187, 0.577350150255)),
+                            vertex((-0.816496412728, 0.0, 0.577350507059)),
+                            vertex((-0.408248458663, -0.707106781187, -0.577350150255)),
+                            vertex((0.816496412728, 0.0, -0.577350507059)),
+                            vertex((-0.408248458663, 0.707106781187, -0.577350150255))]
+
+        self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
+                            edge(self.vertskeleton[2], self.vertskeleton[1]),
+                            edge(self.vertskeleton[2], self.vertskeleton[0]),
+                            edge(self.vertskeleton[0], self.vertskeleton[3]),
+                            edge(self.vertskeleton[0], self.vertskeleton[4]),
+                            edge(self.vertskeleton[1], self.vertskeleton[4]),
+                            edge(self.vertskeleton[1], self.vertskeleton[5]),
+                            edge(self.vertskeleton[2], self.vertskeleton[5]),
+                            edge(self.vertskeleton[2], self.vertskeleton[3]),
+                            edge(self.vertskeleton[3], self.vertskeleton[4]),
+                            edge(self.vertskeleton[4], self.vertskeleton[5]),
+                            edge(self.vertskeleton[3], self.vertskeleton[5])]
+
+        self.panelpoints = [[2, 0, 1], [0, 3, 4], [0, 1, 4], [1, 4, 5],
+                            [2, 1, 5], [2, 3, 5], [2, 0, 3], [3, 4, 5]]
+
+        self.paneledges = [[2, 1, 0], [3, 4, 9], [0, 4, 5], [5, 6, 10],
+                           [1, 7, 6], [8, 7, 11], [2, 8, 3], [9, 11, 10]]
+
+        self.reversepanel = [2, 5, 6, 7]
+        self.edgelength = []
+        self.vertsdone = [[0, 0]] * len(self.vertskeleton)
+
+
+class icosahedron(geodesic):
+    def __init__(self, parameter):
+        geodesic.__init__(mesh)
+        geodesic.setparameters(self, parameter)
+        self.set_vert_edge_skeleons()
+
+    def set_vert_edge_skeleons(self):
+        self.vertskeleton = [vertex((0.0, 0.0, 0.587785252292)),
+                            vertex((0.0, -0.525731096637, 0.262865587024)),
+                            vertex((0.5, -0.162459832634, 0.262865565628)),
+                            vertex((0.309016994375, 0.425325419658, 0.262865531009)),
+                            vertex((-0.309016994375, 0.425325419658, 0.262865531009)),
+                            vertex((-0.5, -0.162459832634, 0.262865565628)),
+                            vertex((0.309016994375, -0.425325419658, -0.262865531009)),
+                            vertex((0.5, 0.162459832634, -0.262865565628)),
+                            vertex((0.0, 0.525731096637, -0.262865587024)),
+                            vertex((-0.5, 0.162459832634, -0.262865565628)),
+                            vertex((-0.309016994375, -0.425325419658, -0.262865531009)),
+                            vertex((0.0, 0.0, -0.587785252292))]
+
+        self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
+                            edge(self.vertskeleton[0], self.vertskeleton[2]),
+                            edge(self.vertskeleton[0], self.vertskeleton[3]),
+                            edge(self.vertskeleton[0], self.vertskeleton[4]),
+                            edge(self.vertskeleton[0], self.vertskeleton[5]),
+                            edge(self.vertskeleton[1], self.vertskeleton[2]),
+                            edge(self.vertskeleton[2], self.vertskeleton[3]),
+                            edge(self.vertskeleton[3], self.vertskeleton[4]),
+                            edge(self.vertskeleton[4], self.vertskeleton[5]),
+                            edge(self.vertskeleton[5], self.vertskeleton[1]),
+                            edge(self.vertskeleton[1], self.vertskeleton[6]),
+                            edge(self.vertskeleton[2], self.vertskeleton[6]),
+                            edge(self.vertskeleton[2], self.vertskeleton[7]),
+                            edge(self.vertskeleton[3], self.vertskeleton[7]),
+                            edge(self.vertskeleton[3], self.vertskeleton[8]),
+                            edge(self.vertskeleton[4], self.vertskeleton[8]),
+                            edge(self.vertskeleton[4], self.vertskeleton[9]),
+                            edge(self.vertskeleton[5], self.vertskeleton[9]),
+                            edge(self.vertskeleton[5], self.vertskeleton[10]),
+                            edge(self.vertskeleton[1], self.vertskeleton[10]),
+                            edge(self.vertskeleton[6], self.vertskeleton[7]),
+                            edge(self.vertskeleton[7], self.vertskeleton[8]),
+                            edge(self.vertskeleton[8], self.vertskeleton[9]),
+                            edge(self.vertskeleton[9], self.vertskeleton[10]),
+                            edge(self.vertskeleton[10], self.vertskeleton[6]),
+                            edge(self.vertskeleton[6], self.vertskeleton[11]),
+                            edge(self.vertskeleton[7], self.vertskeleton[11]),
+                            edge(self.vertskeleton[8], self.vertskeleton[11]),
+                            edge(self.vertskeleton[9], self.vertskeleton[11]),
+                            edge(self.vertskeleton[10], self.vertskeleton[11])]
+
+        self.panelpoints = [[0, 1, 2], [0, 2, 3], [0, 3, 4], [0, 4, 5], [0, 5, 1], [1, 2, 6],
+                            [2, 6, 7], [2, 3, 7], [3, 7, 8], [3, 4, 8], [4, 8, 9], [4, 5, 9],
+                            [5, 9, 10], [5, 1, 10], [1, 10, 6], [6, 7, 11], [7, 8, 11],
+                            [8, 9, 11], [9, 10, 11], [10, 6, 11]]
+
+        self.paneledges = [[0, 1, 5], [1, 2, 6], [2, 3, 7], [3, 4, 8], [4, 0, 9], [5, 10, 11],
+                           [11, 12, 20], [6, 12, 13], [13, 14, 21], [7, 14, 15], [15, 16, 22],
+                           [8, 16, 17], [17, 18, 23], [9, 18, 19], [19, 10, 24], [20, 25, 26],
+                           [21, 26, 27], [22, 27, 28], [23, 28, 29], [24, 29, 25]]
+
+        self.reversepanel = [5, 7, 9, 11, 13, 15, 16, 17, 18, 19]
+        self.edgelength = []
+        self.vertsdone = [[0, 0]] * len(self.vertskeleton)
+
+
+class icoedge(geodesic):
+    def __init__(self, parameter):
+        geodesic.__init__(mesh)
+        geodesic.setparameters(self, parameter)
+        self.set_vert_edge_skeleons()
+
+    def set_vert_edge_skeleons(self):
+        self.vertskeleton = [vertex((0, 0.309016994375, 0.5)),
+                            vertex((0, -0.309016994375, 0.5)),
+                            vertex((-0.5, 0, 0.309016994375)),
+                            vertex((0.5, 0, 0.309016994375)),
+                            vertex((-0.309016994375, -0.5, 0)),
+                            vertex((0.309016994375, -0.5, 0)),
+                            vertex((0.309016994375, 0.5, 0)),
+                            vertex((-0.309016994375, 0.5, 0)),
+                            vertex((-0.5, 0, -0.309016994375)),
+                            vertex((0.5, 0, -0.309016994375)),
+                            vertex((0, 0.309016994375, -0.5)),
+                            vertex((0, -0.309016994375, -0.5))]
+
+        self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
+                            edge(self.vertskeleton[0], self.vertskeleton[7]),
+                            edge(self.vertskeleton[0], self.vertskeleton[2]),
+                            edge(self.vertskeleton[1], self.vertskeleton[2]),
+                            edge(self.vertskeleton[1], self.vertskeleton[4]),
+                            edge(self.vertskeleton[1], self.vertskeleton[5]),
+                            edge(self.vertskeleton[1], self.vertskeleton[3]),
+                            edge(self.vertskeleton[0], self.vertskeleton[3]),
+                            edge(self.vertskeleton[0], self.vertskeleton[6]),
+                            edge(self.vertskeleton[2], self.vertskeleton[7]),
+                            edge(self.vertskeleton[2], self.vertskeleton[8]),
+                            edge(self.vertskeleton[2], self.vertskeleton[4]),
+                            edge(self.vertskeleton[4], self.vertskeleton[5]),
+                            edge(self.vertskeleton[3], self.vertskeleton[5]),
+                            edge(self.vertskeleton[3], self.vertskeleton[9]),
+                            edge(self.vertskeleton[3], self.vertskeleton[6]),
+                            edge(self.vertskeleton[6], self.vertskeleton[7]),
+                            edge(self.vertskeleton[7], self.vertskeleton[10]),
+                            edge(self.vertskeleton[7], self.vertskeleton[8]),
+                            edge(self.vertskeleton[4], self.vertskeleton[8]),
+                            edge(self.vertskeleton[4], self.vertskeleton[11]),
+                            edge(self.vertskeleton[5], self.vertskeleton[11]),
+                            edge(self.vertskeleton[5], self.vertskeleton[9]),
+                            edge(self.vertskeleton[6], self.vertskeleton[9]),
+                            edge(self.vertskeleton[6], self.vertskeleton[10]),
+                            edge(self.vertskeleton[8], self.vertskeleton[10]),
+                            edge(self.vertskeleton[8], self.vertskeleton[11]),
+                            edge(self.vertskeleton[9], self.vertskeleton[11]),
+                            edge(self.vertskeleton[9], self.vertskeleton[10]),
+                            edge(self.vertskeleton[10], self.vertskeleton[11])]
+
+        self.panelpoints = [[0, 1, 2], [0, 1, 3], [0, 2, 7], [1, 2, 4], [1, 4, 5],
+                            [1, 3, 5], [0, 3, 6], [0, 6, 7], [2, 7, 8], [2, 4, 8],
+                            [3, 5, 9], [3, 6, 9], [7, 8, 10], [4, 8, 11], [4, 5, 11],
+                            [5, 9, 11], [6, 9, 10], [6, 7, 10], [8, 10, 11], [9, 10, 11]]
+
+        self.paneledges = [[0, 2, 3], [0, 7, 6], [2, 1, 9], [3, 4, 11], [4, 5, 12], [6, 5, 13],
+                           [7, 8, 15], [8, 1, 16], [9, 10, 18], [11, 10, 19], [13, 14, 22],
+                           [15, 14, 23], [18, 17, 25], [19, 20, 26], [12, 20, 21], [22, 21, 27],
+                           [23, 24, 28], [16, 24, 17], [25, 26, 29], [28, 27, 29]]
+
+        self.reversepanel = [0, 2, 5, 9, 11, 12, 14, 15, 17, 19]
+        self.edgelength = []
+        self.vertsdone = [[0, 0]] * len(self.vertskeleton)
+
+
+class icoface(geodesic):
+    def __init__(self, parameter):
+        geodesic.__init__(mesh)
+        geodesic.setparameters(self, parameter)
+        self.set_vert_edge_skeleons()
+
+    def set_vert_edge_skeleons(self):
+        self.vertskeleton = [vertex((-0.17841104489, 0.309016994375, 0.46708617948)),
+                            vertex((-0.17841104489, -0.309016994375, 0.46708617948)),
+                            vertex((0.35682208977, 0.0, 0.467086179484)),
+                            vertex((-0.57735026919, 0.0, 0.110264089705)),
+                            vertex((-0.288675134594, -0.5, -0.11026408971)),
+                            vertex((0.288675134594, -0.5, 0.11026408971)),
+                            vertex((0.57735026919, 0.0, -0.110264089705)),
+                            vertex((0.288675134594, 0.5, 0.11026408971)),
+                            vertex((-0.288675134594, 0.5, -0.11026408971)),
+                            vertex((-0.35682208977, 0.0, -0.467086179484)),
+                            vertex((0.17841104489, -0.309016994375, -0.46708617948)),
+                            vertex((0.17841104489, 0.309016994375, -0.46708617948))]
+
+        self.edgeskeleton = [edge(self.vertskeleton[0], self.vertskeleton[1]),
+                            edge(self.vertskeleton[2], self.vertskeleton[1]),
+                            edge(self.vertskeleton[2], self.vertskeleton[0]),
+                            edge(self.vertskeleton[0], self.vertskeleton[3]),
+                            edge(self.vertskeleton[1], self.vertskeleton[3]),
+                            edge(self.vertskeleton[1], self.vertskeleton[4]),
+                            edge(self.vertskeleton[1], self.vertskeleton[5]),
+                            edge(self.vertskeleton[2], self.vertskeleton[5]),
+                            edge(self.vertskeleton[2], self.vertskeleton[6]),
+                            edge(self.vertskeleton[2], self.vertskeleton[7]),
+                            edge(self.vertskeleton[0], self.vertskeleton[7]),
+                            edge(self.vertskeleton[0], self.vertskeleton[8]),
+                            edge(self.vertskeleton[3], self.vertskeleton[9]),
+                            edge(self.vertskeleton[3], self.vertskeleton[4]),
+                            edge(self.vertskeleton[5], self.vertskeleton[4]),
+                            edge(self.vertskeleton[5], self.vertskeleton[10]),
+                            edge(self.vertskeleton[5], self.vertskeleton[6]),
+                            edge(self.vertskeleton[7], self.vertskeleton[6]),
+                            edge(self.vertskeleton[7], self.vertskeleton[11]),
+                            edge(self.vertskeleton[7], self.vertskeleton[8]),
+                            edge(self.vertskeleton[3], self.vertskeleton[8]),
+                            edge(self.vertskeleton[4], self.vertskeleton[9]),
+                            edge(self.vertskeleton[4], self.vertskeleton[10]),
+                            edge(self.vertskeleton[6], self.vertskeleton[10]),
+                            edge(self.vertskeleton[6], self.vertskeleton[11]),
+                            edge(self.vertskeleton[8], self.vertskeleton[11]),
+                            edge(self.vertskeleton[8], self.vertskeleton[9]),
+                            edge(self.vertskeleton[9], self.vertskeleton[10]),
+                            edge(self.vertskeleton[11], self.vertskeleton[10]),
+                            edge(self.vertskeleton[11], self.vertskeleton[9])]
+
+        self.panelpoints = [[2, 0, 1], [0, 1, 3], [2, 1, 5], [2, 0, 7], [1, 3, 4], [1, 5, 4],
+                            [2, 5, 6], [2, 7, 6], [0, 7, 8], [0, 3, 8], [3, 4, 9], [5, 4, 10],
+                            [5, 6, 10], [7, 6, 11], [7, 8, 11], [3, 8, 9], [4, 9, 10],
+                            [6, 11, 10], [8, 11, 9], [11, 9, 10]]
+
+        self.paneledges = [[2, 1, 0], [0, 3, 4], [1, 7, 6], [2, 9, 10], [4, 5, 13], [6, 5, 14],
+                           [7, 8, 16], [9, 8, 17], [10, 11, 19], [3, 11, 20], [13, 12, 21],
+                           [14, 15, 22], [16, 15, 23], [17, 18, 24], [19, 18, 25], [20, 12, 26],
+                           [21, 22, 27], [24, 23, 28], [25, 26, 29], [29, 28, 27]]
+
+        self.reversepanel = [1, 3, 5, 7, 9, 10, 12, 14, 17, 19]
+        self.edgelength = []
+        self.vertsdone = [[0, 0]] * len(self.vertskeleton)
+
+
+# PKHG TODO this does not work yet ...
+def creategeo(geo, polytype, orientation, parameters):
+
+    if polytype == 'Tetrahedron':
+        if orientation == 'PointUp':
+            my_tetrahedron = tetrahedron(geodesic)
+            my_tetrahedron.set_vert_edge_skeleons()
+            my_tetrahedron.config()
+            check_contains(my_tetrahedron, "my_tetra", True)
+            vefm_add_object(geo)
+        elif orientation == 'EdgeUp':
+            geo = tetraedge(parameters)
+        else:  # orientation == 2:
+            geo = tetraface(parameters)
+    elif polytype == 'Octahedron':
+        if orientation == 'PointUp':
+            geo = octahedron(parameters)
+        elif orientation == 'EdgeUp':
+            geo = octaedge(parameters)
+        else:  # if orientation == 2:
+            geo = octaface(parameters)
+    elif polytype == 'Icosahedron':
+        if orientation == 'PointUp':
+            geo = icosahedron(parameters)
+        elif orientation == 'EdgeUp':
+            geo = icoedge(parameters)
+        else:  # if orientation == 2:
+            geo = icoface(parameters)
+
+    return geo