First, we look at my vice. The vice has certain issues, you can see the center "screw" bar and the two alignment bars on the side.
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I attached my saw vise to a piece of oak but in such a way that the base sits on the three bars and the sides go around it. I could have done it slightly differently, but here it is hanging on my wall.
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The result is that it sets the saw at a nice height and it is very easy and fast to drop it into one of my bench vises. It could also fit into my Moxon vise. Given the design, I think that this was easier to mount to my bench than the old metal vise that I had. If I had built the wooden vise as I had planned, I probably would have designed the base to be somewhat similar so that it would be easy for me to mount. Keep that in mind if you choose to build or buy one; how will you mount it?