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You can get a 10 x 3 x 1 Hard Ark for about 49.00 with shipping. A Soft Ark in the same size would run about the same..
They're both really nice for tuning up and finishing kitchen knives and...

Ragnar's $17.00 Black Ark is 4.0" long. You'd be a lot happier with an 8" long Ark...
A 4" stone won't give you enough space to work with.