Friday, 12 March 2010

Scale invariance

People often refer to how ants can life many times their body weight as though this were somehow remarkable. The greater the size difference between the objects compared, the less meaningful a concept "strength-to-weight ratio" becomes. The strength of an object scales with the square of its length, while the weight scales with the cube of its length. Therefore, I propose "√strength-to-³√weight ratio" as a more suitable measure.

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