The Counts Riffle Shuffle System

What will follow is not a technique, but a system. I stated in the previous section that while Marlo appears to have written a section on stacking each individual hand, I don't see the need, except perhaps in so far as game theory is concerned and I will not address that here. The system can be applied in a vast array of ways, but for me, the most direct example comes in some complex shuffles such as four of a kind culled and stacked in two shuffles. The benchmarks progress as I work through this, section. To begin with you are able to cull and stack four of a kind in two shuffles. Later, it becomes culling eight or nine cards in three shuffles and distributing them via a false deal, then the elimination of the false deal and stacking the cards directly. I will offer many examples of the ideas and aspects of what I have come to call the system, but many more exist. I will conclude with ideas that blew me away when I discovered them, what I have coined "the impossible stack" since it allows you to cull twenty cards (5 hands of four of a kind) in just four shuffles. Initially I found that while this was possible in theory, it became logistically impossible to perform in real time, but I have since refined the method to better address those concerns. The concerns, as well as the solution and some further ideas will provide the end of the examples, but more is possible. Two nights ago as I lay in bed it occurred to me that something incredible was possible, but I have not yet refined the method sufficiently for exposure, though it would be phenomenal in my view.

Rather than break this system down explaining the application step by step, I am simply going to begin by introducing ideas, the various aspects of the system one by one and then put it all together along with various sample demonstrations towards the end at which point I will address further concerns and solutions. I must stress two points, the first, is that many of the concepts and ideas that are important have already been covered so I would recommend you refer to the previous sections on riffle shuffling. The second, is that while I have developed this system independently and thus far have found it to be the best available, I cannot imagine that ideas as simple as these are new, so I would offer my congratulations to others who have worked out the same ideas and better ones. Without further ado, we shall begin.

Cutting and Culling

I will begin with the basics, this entire system is rooted in the bottom of the deck rather than the top. In each and every occasion, I will refer you to eventually culling the cards to the bottom of the deck and I will never suggest bringing them to the top, for numerous reasons. When I started asking people about other methods and telling them about this one, I remember the comment "that means you are culling three cards in one shuffle" and yes, that is true, sometimes you are culling many more than three. There are several benefits to this system, but one is the ability to cull large numbers of cards quickly and honestly, most people will probably be disappointed with how that is done. Most are probably expecting some unbelievable unique, complex, and brilliant method. None exists, it is a simple matter of what we will call collective culling and the key is all in where you cut.

Cutting in the right place, that is the first lesson, and it makes all the difference in the world. Previously, we were cutting to roughly the middle, the first ace that turns up around that area, not so here, here it becomes a very precise science and the wrong cut location could ruin everything, or at least involve a great number more shuffles in order to complete the culling.

Collective Culling

What you want to do, is cut the deck so that you can group cards and group increasingly large numbers of cards with each shuffle. That is the second lesson, learning not merely to cull cards to the top or bottom of the deck, but to cull, and group cards within the deck. This is going to allow you to cull that whole group to the bottom of the deck later on. For example, say you wanted to cull four aces, it is possible to do so in two shuffles. That is to say, you can group all four together in two shuffles, where they become grouped tends to depend on a cut of the deck. When you riffle through the cards, you wouldn't want to stop at just any ace, you would want to stop either between the second and third aces, or at the third ace. The reason for this is that it allows the two packets of the deck to interlock like building blocks. Consider the following illustration:

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