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Know angles is not a good option.
Is better use lengths.
You will have less errors
The construction method shown in the Earthineer blog you cited is the one used by Paul Robinson, a member of this group (though he hasn't posted here recently). If you go to his website, www.geodome.co.uk, you should be able to find a link to his video showing how to build the triangular wooden frames.
As far as I know, this method was initially perfected by Oregon Dome, a home-building firm in the USA. You have to bevel-rip all the triangle struts through their wide side to create the correct dihedral angles between triangles. For small domes, such as those Paul demonstrates in his video, this is no problem because the lumber stock is so small, e.g., 1.5" by 1.5". You don't need a huge table saw blade. But if you wish to use that method for a 6-meter diameter dome based on the rhombicuboctahedron, you will have very long struts and therefore will need more robust lumber stock such as 2x4 or 2x6, which are difficult to bevel-rip on a small-bladed table saw.
If you are able to bevel-rip such wider lumber, then I can help by providing the angles for the bevel rips and end cuts. You will also need to know the exact linear dimensions of the two template triangles (what Paul calls "patterns"). These lengths are calculated using the chord factors, the spherical radius of the dome, and the lumber stock dimensions.
There are a few earlier threads of Geodesic Help where we discussed the "Oregon Dome panel method". You should be able to find those posts using the Search function.
- Gerry in Québec
Very nice job Gerry!