Methodology here is really quite difficult to describe for as the name suggests, the process is chaotic, however, I will point out a few potential uses for this process.
First, if you have one card in a known location, it is fairly easy to follow that card and control it to whatever position you desire simply by ensuring you follow its location and move it to that point in the process of the square up. In this manner a single card, or perhaps even two or three could easily and convincingly be controlled to say either the top or bottom of the deck.
This concept brings me to the second potential application, that is to say, working either with a face up deck, or with a marked deck. If for example all the aces were marked in some manner obvious only to you, it would be possible to locate them easily and ensure they became grouped and controlled to whatever portion of the deck you desired. Additionally, as I mentioned, if you were to spread the cards around face up you could use this same process and perhaps in an even more elaborate manner of stacking those cards during the squaring process. This again, is actually much easier than it sounds simply by noting the location of specific cards, moving them to a position on the table where they are easily accessible during the square up and counting the number of cards being added between each of the desired cards. In theory, this could allow for very complex and normally difficult stacks to be performed quite effectively and convincingly as there are far fewer finesses and refinements that must be observed when using a chaos shuffle.
Whatever you choose, and I suspect most of you will choose, as most have traditionally, not to use the method at all, I hope those rather obvious suggestions give you at least some inspiration.
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