When building a Zome-shaped trellis from PVC, I needed to cement two right-angle PVC connectors at a certain angle. I used this model to determine the mitre and bevel angles for my mitre saw. The red square indicates the cut that needs to be made.
The purple rectangles represent the planes of the two right-angle connectors. The rectangle with an adjoining green triangle represents the saw platform. Assume that one leg of the right angle is up against the saw fence. The mitre angle is then represented by the green triangle (and the red strut). It is therefore equal to arctan( 0.618 ) = 31.7 degrees, since the two blue struts are related by the golden ratio.
The bevel angle (or rather, its complement) is represented by the orange triangle. Since the orange struts are separated by 72 degrees, the bevel angle is 18 degrees.
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