How to Make a Six Legged, 3-Piece Pole Stand

While building out a basic dowel tree project, I decided to get creative and come up with an interesting design for the base. The result is this six-legged pole stand, made from three pieces of wood with a triangular opening in the middle. The geometry gave me some trouble during the build, but it all worked out and came together nicely.

See the Wolfram Alpha request I used to calculate the triangle size:

Table Saw: