Rooster Origami Folding

Classical Mechanics Level 2

Suppose you start with three clean pieces of squared origami papers of the same density and non-zero paper thickness. Let \(A\) be the smallest paper, \(B\) medium-sized, and \(C\) the largest. You are to fold each of them into a rooster as instructed.

Which piece of paper is the most difficult to start with for origami-folding?

Details and Assumptions:

Neglect deformation and paper-wetting during folding.
Assume that the folds are perfectly symmetric.

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