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Almost all models possess reflection symmetry. For a square, there are only two choices - along the main diagonal, or along the vertical/horizontal through the centre of the square.
Models are often composed of different bases grafted together. Identifying sub-bases allows you to fill in the major creases more easily.
Details like fingers and claws are often formed from heavily pleated regions with many short creases. Knowing where they are allows you to "tune them out" from the model, making the model collapse stage easier. Sometimes. Maybe.
The CP folding procedure goes as follows:
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