Building a geodesic dome is very simple as long as you use a dome calculator although it is slightly technical. We went with a 16.2' diameter dome to make as minimal waste as possible with 10' conduit pipes. We also chose the 5/8 dome which means it is slightly more than a circle cut in half so that the side walls have more vertical edge to them to allow adults to walk around without hitting their heads.
This is the calculator we used to build a 3V 5/8 geodesic dome.
If you want all the math and total amounts of pipes and cut lengths they are available HERE on an Evernote.