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The 3/4" stones are pretty stable standing on edge, but I always put a few layers of paper towels under the stones. A terry towel might have too much give and cause the stones to topple. The paper...

Although they are slightly more expensive, I purchased the Naniwa Sharpening Stones that are about 3/4" thick rather than the thinner Specialty Stones. You get twice the stone for about 25% more...