I was inspired to try to create this style of legs for a small side-table that I am building:
However I have been running into some trouble trying to work out how to construct it.
I've been attempting to model it in SketchUp so that I can get all the measurements / angles worked out before I get to work, but I can't seem to figure out how to get the rotation of the legs right, so that the sides of each of the wooden strips on all three legs all lay flat against each other at the joints.
The first thing I attempted was to simplify things a bit and just model 3 straight square legs, intersecting right in the middle of each other... each leg is angled at 45° inwards. I had assumed that a matching rotation of 45° of each leg about it's lengthwise axis would get everything lined up, but it's ever so slightly off:
So the question is, how do I calculate the proper angle for the rotation of the legs, ideally for any given inward angle (ie: the legs will intersect closer to the top than the bottom, so are angled inwards at only 28°)?