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You might reconsider your substrate and use plywood or MDF. Just ensures more stability, but I know some folks have "philosophical" reasons why not to use MDF.
To your question, I'd apply it at a right-angle to the grain of the substrate, much like plywood is made. (and do the same with the show-veneer)
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Take "Mounds" advice. Wood ,expands and shrinks,the veneer may crack with the movement.
mike
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Over 15 years ago I built a dining room table out of black walnut. I had a limited amount of some very nicely grained walnut but not enough to make the entire top and leaves. I didn't want to have a border around the top. I resawed the nice walnut into thick veneer and used it to veneer the walnut I made for the top. I ran the veneer the same direction that the solid walnut ran. The top, both veneer and solid wood, move as one unit in contracting and expanding. I think that the veneer and solid have to run in the same direction. Just think about it. How much might a 42" wide top expand and shrink between summer and winter? Quite a lot. You can't expect that a veneer could stop that movement on an inch thick top. Even if you veneered both sides, that top movement would eventually cause the veneer to fail. If the center were made of plywood or MDF, it would be an entirely different story. Oh, I gave this table to my daughter last year and it is still pretty much perfect. Ken