Hi Jim!
Let me start by saying that I LOVE my Byrnes saw! It is the best designed and machined tool that I own, and that includes all my full sized power tools. The only shortcoming the Byrnes has is the lack of a tilting arbor! The only way to make angled cuts on a Byrnes is to use the "tilt table" attachment. It is fiddly and takes forever to set up. I used it once, and I've not used it since. I went out and bought a Proxxon FET saw with a tilting arbor!
Cutting an octagon is easy. First make sure you have a piece of wood with a square profile exactly the same size as your finish piece. Something soft like pine or bass wood works well. You'll set up the angle of cut and the fence on the "scrap" piece before cutting your good stock.
Set the blade angle to 45 degrees and set the fence so that when you push the wood into the blade while holding it against the fence, you cut off a little of the the lower corner of the piece that is away from the fence. Turn the stock 90 degrees and cut off another corner. Look at the top three facets you've created. You want them to be identical. Move the fence toward the blade or away from the blade in small increments until they are. The cuts only need to be an inch or so long, so when you make an adjustment to the fence you can cut off the end and start with a "fresh " blank.
Once the fence is set, rotate the stock 90 degrees and cut off the remaining two "corners". The little octagon I cut in the pictures took me less than 5 minutes to do. One thing, though. You should have a zero clearance insert for the 45 degree blade angle. Proxxon gives you one extra, and you can order more. Simple!
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