I took a closer look at some computer models of triangular panels based on the Oregon Dome method. That's where you bevel-rip struts through the wide face and assemble them into triangles with butted joints. It now looks to me like there are indeed some compound cuts involved, namely at one end of each strut. Earlier, I thought there were only simple bevel cuts.
For the Buckyball panel domes that Bill Fisher is thinking about building (https://groups.google.com/forum/#!topic/geodesichelp/8MX7SJ9vd_4), which consist of pentagons and hexagons rather than triangles, there are no compound angles to cut. This is partly due to the fact that the joints are mitred, not butted. But for most triangulated panel domes, there will be some compound angles to cut, even with the Oregon Dome method.
Attached is an Antiview image of a computer model of a dome panel frame. It's a simple example of the Oregon Dome method applied to the equilateral triangle of a 2v icosa half-sphere. The compound cuts are the three exposed strut ends.
Here's a link to Paul Robinson's great little Youtube video on building triangular frames:
https://www.youtube.com/watch?v=U32KTMtp5kU
At the 6 min. 20 sec. mark, Paul pulls out a handsaw to make the final three cuts on his frame. These, as far as I can tell, are compound angles (though he says at the outset of the video there are no compound cuts involved). The advantage of Paul's setup is that the simple triangular "pattern" (or jig) he has created allows him to make these cuts without having to calculate any compound angle saw settings. The other three end cuts, done before the three struts are placed on the jig, are all simple bevel cuts, calculated from the face angles of the particular triangle he happens to be working on.
- Gerry in Québec
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I took this pic a few minutes ago. Even the cupola is buried. Luckily the camera didn't freeze. Including wind chill, the temperature is minus 35 degrees C (minus 30 F).
- Gerry in Québec, imagining a beach in Hawaii