One of the places I sometimes have trouble is remembering all the useful angles or construction techniques that are available. So I made a template of a few of the “good” ways to join parts together. This includes things like the old “beam-plate-plate-beam” spacings that allow you to cross-brace a conventional studded structure, but here I’ve included a bunch of studless options as well. The fact that the long double-bent liftarm allows right angles is obvious, but now I can see that I can pin it easily into a “beam-plate-plate-beam” structure as well, using for instance the 1st holes to either side of the 45° section. And the single-bent liftarm will also fit handily – in fact, if you look at the spacing you’ll see it allows a 3-4-5 right triangle construction. Also look at the little odd bit in red and yellow, up under the curve of the double-bent liftarm: the distance between the top-left and bottom-right holes is 1.5 units, very handy for certain gear combinations. Almost hidden in the back are two black beams: these sketch out the geometry for more 3-4-5 right triangles (in this case, double-sized).
These are certainly not all the interesting geometries that are possible, but a simple hybrid structure that shows some of the common geometries. How many more interesting ones can you find?