Macro Geodesic Dome

Description
This macro creates a parametric geodesic dome shell. The dome radius and the frequency parameter will be set at creation time.



How to use
1. Install the macro using Addon Manager (menu Tools → Addon Manager). On tab "Macros", pick "GeodesicDome", click "Install". Then close addon manager.

2. Run GeodesicDome.FCMacro. A dialog should appear

3. Specify the parameters, click OK.

a dome shape should appear. You can then edit dome parameters by altering properties of GeoDome object.

Script
(this is an old, non-parametric version of the script. Up-to-date version is in FreeCAD-macros repository, here! )

Macro_Geodesic_Dome.FCMacro


 * 1) -*- coding: utf-8 -*-


 * 1) Form implementation generated from reading ui file 'geodesic_dialog.ui'
 * 2) And changed manually to use FreeCAD "Gui::InputField"
 * 3) Created: Sun Jan  4 22:20:58 2015
 * 4)      by: pyside-uic 0.2.15 running on PySide 1.2.2
 * 5) Upgrade 2019/06/16 for use with FreeCAD 0.19 version
 * OS: Windows 10 (10.0)
 * 1) Word size of OS: 64-bit
 * 2) Word size of FreeCAD: 64-bit
 * 3) Version: 0.19.16993 (Git)
 * 4) Build type: Release
 * 5) Branch: master
 * 6) Hash: 5ea062f6699666b2f284f6a52105acf20828b481
 * 7) Python version: 3.6.8
 * 8) Qt version: 5.12.1
 * 9) Coin version: 4.0.0a
 * 10) OCC version: 7.3.0
 * 1) OCC version: 7.3.0

 
 * Copyright (c)2015 2019 Ulrich Brammer  *
 * This file is a supplement to the FreeCAD CAx development system.    *
 * This program is free software; you can redistribute it and/or modify *
 * it under the terms of the GNU Lesser General Public License (LGPL)  *
 * as published by the Free Software Foundation; either version 2 of   *
 * the License, or (at your option) any later version.                 *
 * for detail see the LICENCE text file.                               *
 * This software is distributed in the hope that it will be useful,    *
 * but WITHOUT ANY WARRANTY; without even the implied warranty of      *
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the        *
 * GNU Library General Public License for more details.                *
 * You should have received a copy of the GNU Library General Public   *
 * License along with this macro; if not, write to the Free Software   *
 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
 * USA                                                                 *
 * You should have received a copy of the GNU Library General Public   *
 * License along with this macro; if not, write to the Free Software   *
 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
 * USA                                                                 *
 * USA                                                                 *

from PySide import QtCore, QtGui import FreeCAD, FreeCADGui, math, Part from FreeCAD import Base

class Ui_Dialog(object): def setupUi(self, Dialog): Dialog.setObjectName("Dialog") Dialog.resize(477, 188) self.dia = Dialog self.gridLayoutWidget = QtGui.QWidget(Dialog) self.gridLayoutWidget.setGeometry(QtCore.QRect(19, 19, 440, 141)) self.gridLayoutWidget.setObjectName("gridLayoutWidget") self.gridLayout = QtGui.QGridLayout(self.gridLayoutWidget) self.gridLayout.setContentsMargins(0, 0, 0, 0) self.gridLayout.setObjectName("gridLayout") self.label = QtGui.QLabel(self.gridLayoutWidget) self.label.setObjectName("label") self.gridLayout.addWidget(self.label, 0, 0, 1, 1) #self.lineEdit = QtGui.QLineEdit(self.gridLayoutWidget) fui = FreeCADGui.UiLoader self.lineEdit = fui.createWidget("Gui::InputField") self.lineEdit.setObjectName("lineEdit") self.gridLayout.addWidget(self.lineEdit, 0, 1, 1, 1) self.label_2 = QtGui.QLabel(self.gridLayoutWidget) self.label_2.setObjectName("label_2") self.gridLayout.addWidget(self.label_2, 1, 0, 1, 1) self.lineEdit_2 = QtGui.QLineEdit(self.gridLayoutWidget) self.lineEdit_2.setObjectName("lineEdit_2") self.gridLayout.addWidget(self.lineEdit_2, 1, 1, 1, 1) self.label_3 = QtGui.QLabel(self.gridLayoutWidget) self.label_3.setObjectName("label_3") self.gridLayout.addWidget(self.label_3, 2, 0, 1, 1) self.buttonBox = QtGui.QDialogButtonBox(self.gridLayoutWidget) self.buttonBox.setOrientation(QtCore.Qt.Horizontal) self.buttonBox.setStandardButtons \ (QtGui.QDialogButtonBox.Cancel|QtGui.QDialogButtonBox.Ok) self.buttonBox.setObjectName("buttonBox") self.gridLayout.addWidget(self.buttonBox, 2, 1, 1, 1)

self.retranslateUi(Dialog) QtCore.QObject.connect(self.buttonBox, \     QtCore.SIGNAL("accepted"), self.makeSomething) QtCore.QObject.connect(self.buttonBox, \     QtCore.SIGNAL("rejected"), self.makeNothing) QtCore.QMetaObject.connectSlotsByName(Dialog)

def retranslateUi(self, Dialog): # original code commented 2019/06/16 # Dialog.setWindowTitle(QtGui.QApplication.translate \   #   ("Dialog", "Geodesic Dome Creator",  \ #  None, QtGui.QApplication.UnicodeUTF8)) # self.label.setText(QtGui.QApplication.translate \   #   ("Dialog", "Dome Radius", None, QtGui.QApplication.UnicodeUTF8)) # self.label_2.setText(QtGui.QApplication.translate \   #   ("Dialog", "Frequency Parameter\n(Integer between 1 to 10)", \ #  None,QtGui.QApplication.UnicodeUTF8)) # self.label_3.setText(QtGui.QApplication.translate \   #   ("Dialog", "This Macro creates \na full geodesic dome shell.\nX-Y-symmetry plane \nfor even frequencies", \ #  None, QtGui.QApplication.UnicodeUTF8)) ####   # replacement code  2019/06/16 Dialog.setWindowTitle("Geodesic Dome Creator") self.label.setText("Dome Radius") self.label_2.setText("Frequency Parameter\n(Integer between 1 to 10)") self.label_3.setText("This Macro creates \na full geodesic dome shell.\nX-Y-symmetry plane \nfor even frequencies") ####

def makeSomething(self): print( "accepted! Dome radius: ", self.lineEdit.property("text"), \     " with Frequency: ", int(self.lineEdit_2.text))

doc=App.activeDocument label = "GeodesicDome"

theDome = doc.addObject("Part::Feature",label) radius = self.lineEdit.property("text") frequency = int(self.lineEdit_2.text) self.dia.close self.makeDome(theDome, radius, frequency) doc.recompute def makeNothing(self): print( "rejected!!") self.dia.close

def makeDome(self, obj, domeRad_str, ny): def makeFreqFaces(fPt, sPt, thPt, ny = 1): # makes the geodesic dome faces out of the points of an     # icosahedron triangle b = self.a/ny # length of frequent triangles # definition of direction vectors growVec = (sPt - fPt) # growVec = (fPt - sPt) growVec.multiply(1.0/ny) crossVec = (thPt - sPt) # crossVec = (sPt - thPt) crossVec.multiply(1.0/ny) for k in range(ny): kThirdPt = fPt + growVec * (k+0.0) dThirdPt = Base.Vector(kThirdPt.x, kThirdPt.y, kThirdPt.z)       dThirdPt = dThirdPt.normalize.multiply(domeRad.Value) kSecPt = fPt + growVec * (k+1.0) dSecPt = Base.Vector(kSecPt.x, kSecPt.y, kSecPt.z)       dSecPt = dSecPt.normalize.multiply(domeRad.Value) # thirdEdge = Part.makeLine(kSecPt, kThirdPt) # thirdEdge = Part.makeLine(dSecPt, dThirdPt) for l in range(k+1): firstPt = kSecPt + crossVec *(l+1.0) dFirstPt = firstPt.normalize.multiply(domeRad.Value) secPt = kSecPt + crossVec *(l+0.0) dSecPt =secPt.normalize.multiply(domeRad.Value) thirdPt = kThirdPt + crossVec *(l+0.0) dThirdPt = thirdPt.normalize.multiply(domeRad.Value) #thirdEdge = Part.makeLine(secPt, thirdPt) thirdEdge = Part.makeLine(dSecPt, dThirdPt) # Part.show(thirdEdge) if l > 0: print( "in l: ", l, " mod 2: ", l%2) # What to do here? #secEdge = Part.makeLine(oThirdPt,thirdPt) secEdge = Part.makeLine(doThirdPt,dThirdPt) # Part.show(secEdge) #thirdEdge = Part.makeLine(secPt, thirdPt) #thirdEdge = Part.makeLine(dSecPt, dThirdPt) # Part.show(thirdEdge) triWire = Part.Wire([firstEdge, secEdge, thirdEdge]) # Part.show(triWire) triFace = Part.Face(triWire) self.domeFaces.append(triFace) #Part.show(triFace) oThirdPt = thirdPt doThirdPt = oThirdPt.normalize.multiply(domeRad.Value) # oFirstPt = firstPt #firstEdge = Part.makeLine(thirdPt,firstPt) firstEdge = Part.makeLine(dThirdPt,dFirstPt) oFirstEdge = firstEdge #secEdge = Part.makeLine(firstPt,secPt) secEdge = Part.makeLine(dFirstPt,dSecPt) #Part.show(firstEdge) #Part.show(secEdge) #Part.show(thirdEdge) triWire = Part.Wire([firstEdge, secEdge, thirdEdge]) triFace = Part.Face(triWire) self.domeFaces.append(triFace) #Part.show(triFace) domeRad = FreeCAD.Units.Quantity(domeRad_str) # self.a = Strutlength of underlying icosahedron: self.a=(4.0*domeRad.Value)/math.sqrt(2.0*math.sqrt(5.0)+10.0) # icoAngle: angle of vertices of icosahedron points # not a north or south pole self.icoAngle = math.atan(0.5) self.icoLat = domeRad.Value * math.sin(self.icoAngle) self.latRad = domeRad.Value * math.cos(self.icoAngle) self.ang36 = math.radians(36.0) # Calculation all points of the icosahedron self.icoPts = [] self.icoPts.append(Base.Vector(0.0, 0.0, domeRad.Value)) for i in range(10): self.icoCos = self.latRad * math.cos(i*self.ang36) self.icoSin = self.latRad * math.sin(i*self.ang36) if i%2 == 0: self.icoPts.append(Base.Vector(self.icoSin, self.icoCos, self.icoLat)) else: self.icoPts.append(Base.Vector(self.icoSin, self.icoCos, -self.icoLat)) self.icoPts.append(Base.Vector(0.0, 0.0, -domeRad.Value)) # making the faces of the icosahedron self.icoFaces = [] # collects faces of the underlying icosahedron self.domeFaces = [] # collects the faces of the geodesic dome thirdPt = self.icoPts[9] thirdEdge = Part.makeLine(self.icoPts[0],thirdPt) for i in range(5): j = i*2+1 firstEdge = Part.makeLine(thirdPt,self.icoPts[j]) secEdge = Part.makeLine(self.icoPts[j],self.icoPts[0]) triWire = Part.Wire([firstEdge, secEdge, thirdEdge]) triFace = Part.Face(triWire) self.icoFaces.append(triFace) # Part.show(triFace) makeFreqFaces(self.icoPts[j], self.icoPts[0], thirdPt, ny) thirdEdge = Part.makeLine(self.icoPts[0],self.icoPts[j]) thirdPt = self.icoPts[j] thirdPt = self.icoPts[9] secPt = self.icoPts[10] thirdEdge = Part.makeLine(secPt,thirdPt) for i in range(10): j = i+1 firstEdge = Part.makeLine(thirdPt,self.icoPts[j]) secEdge = Part.makeLine(self.icoPts[j],secPt) triWire = Part.Wire([firstEdge, secEdge, thirdEdge]) triFace = Part.Face(triWire) self.icoFaces.append(triFace) #Part.show(triFace) makeFreqFaces(self.icoPts[j], secPt, thirdPt, ny) thirdPt = secPt secPt = self.icoPts[j] thirdEdge = Part.makeLine(secPt,thirdPt) thirdPt = self.icoPts[10] thirdEdge = Part.makeLine(self.icoPts[11],thirdPt) for i in range(5): j = i*2+2 firstEdge = Part.makeLine(thirdPt,self.icoPts[j]) secEdge = Part.makeLine(self.icoPts[j],self.icoPts[11]) triWire = Part.Wire([firstEdge, secEdge, thirdEdge]) triFace = Part.Face(triWire) self.icoFaces.append(triFace) #Part.show(triFace) makeFreqFaces(self.icoPts[j], self.icoPts[11], thirdPt, ny) thirdEdge = Part.makeLine(self.icoPts[11],self.icoPts[j]) thirdPt = self.icoPts[j] # Shell of a corresponding icosahedron newShell = Part.Shell(self.icoFaces) #Part.show(newShell) # Shell of the geodesic dome #self.domeShell = Part.Shell(self.domeFaces) #Part.show(self.domeShell) obj.Shape = Part.Shell(self.domeFaces) # Shere with radius of geodesic dome for debugging purposes testSphere = Part.makeSphere(domeRad.Value) #Part.show(testSphere)

d = QtGui.QWidget d.ui = Ui_Dialog d.ui.setupUi(d) d.ui.lineEdit_2.setText("2") d.ui.lineEdit.setProperty("text", "2 m")

d.show

Link
Forum Designing geodesic dome