here is a continous curved blade.
HI Balance knife.
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As discussed previously in this thread, the Kukri is a prime example of a recurve -- where an outside curve flows (re-curves) into an inside curve.
Even the outside curve on the Kukri shown is not continuous -- it starts out with a fairly tight radius, then opens up to a larger radius as it flows toward the beginning on the recurve.
Just some food for thought on the semantics involved.
Big Mike