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.

# This code is copied instead of the original macro code
# to guide the user to the online download page.
# Use it if the code of the macro is larger than 64 KB and cannot be included in the wiki
# or if the RAW code URL is somewhere else in the wiki.

from PySide import QtGui, QtCore

diag = QtGui.QMessageBox(QtGui.QMessageBox.Information,
    "Information",
    "This macro must be downloaded from this link\n"
    "\n"
    "https://raw.githubusercontent.com/FreeCAD/FreeCAD-macros/master/ParametricObjectCreation/geodesic_dome/geodesic_dome.py" + "\n"
    "\n"
    "Quit this window to access the download page")

diag.setWindowFlags(QtCore.Qt.WindowStaysOnTopHint)
diag.setWindowModality(QtCore.Qt.ApplicationModal)
diag.exec_()

import webbrowser 
webbrowser.open("https://raw.githubusercontent.com/FreeCAD/FreeCAD-macros/master/ParametricObjectCreation/geodesic_dome/geodesic_dome.py")

Usage

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! )

ToolBar Icon

Macro_Geodesic_Dome.FCMacro

# -*- coding: utf-8 -*-

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

'''
************************************************************************
* Copyright (c)2015 2019 Ulrich Brammer <ulrich1a[at]users.sourceforge.net> *
*                                                                      *
* 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                                                                  *
*                                                                      *
************************************************************************
'''


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