Slab sawn walnut generally shows more figure, but it is also more likely to be "one-sided" which means one side may show a lot more figure and grain than the other. Slab, or plain sawn wood is more likely to warp or cup.

Quarter sawn wood is more stable, and typically shows more similar figure and grain on both sides of a board or stock blank. Here's an illustration:



As you can see, there are going to be some boards in a plain sawn log that will have quarter sawn grain and figure because the growth rings are mainly perpendicular to the cut side.

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