Lesson 7 - The Variations

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This program is the culmination of the contents of the previous lessons. You could say that the techniques that apply when playing from the main position of each section of the system, are complemented by the plays originating from a same diamond to different points in the first rail.

The purpose of this application is to illustrate the results in the third and fourth rails when playing from each of the main positions to different points in the first rail. The large number of results are in turn classified and grouped in different variations of the leading position greatly facilitating its study. If each variation law is known, the result in the following rails can be easily anticipated. Since each variation is studied according to their relationship with the rule of half’s, the results of the different variations are repeated, further facilitating the judgement of the trajectory of the cue ball in each variation.

The purpose of this application is to illustrate the results in the third and fourth rails when playing from each of the main positions to different points in the first rail. The large number of results are in turn classified and grouped in different variations of the leading position greatly facilitating its study. If each variation law is known, the result in the following rails can be easily anticipated. Since each variation is studied according to their relationship with the rule of half’s, the results of the different variations are repeated, further facilitating the judgement of the trajectory of the cue ball in each variation.

The analysis begins with the variations of the positions of the critical area, followed by those of the stable and merging areas of the system. Since the variations of the short rail positions are very unstable (subject to many variables or playing), they are studied in a system where the results are much more stable.

Since in most of the variations the cue ball travels around the table, the results based on a numerical system are analyzed using the law of division by two. Offering also a comparative analysis with the systems for plays around the table with effect.

This application introduces the universal returns of most billiard systems from the third to the fourth rail. They are called universal returns because they are the returns used by the vast majority of systems to pre-define their specific outcomes. In particular, but without excluding a large number of applications, when the cue travels around the table.