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if the resistance of tissue along a blade is proportional to the 'work' needed to penetrate, wouldn't any double edged blade with a tapered point penetrate just as well as a dagger design?
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If I understand correctly ,the taper only spreads the same amount of force required, over a longer time interval. The longer the taper, the further spread-out the force requirement, and the less required at any one instant.
So the wider the blade is, the longer the taper must be to achieve the same result.