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And what about the perfect geometry of a system that leads you to "a slight overcut"? What is geometrically perfect about the word "slight"? How big is "slight"? And how does allowing for throw to actually thicken up that overcut have anything to do with geometric perfection? And what about all the variations in throw? Speed, angle, spin, ball surface, etc. all have profound effects on the amount of throw an object ball is subject to. How does cte account for all of these factors? That magic 2:1 ratio?
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This post is directed to Sloppy Pockets. So, if you are reading it, and are in disagreement with the sentiments he expressed, I can save you from reading any further, since I am
in agreement with the sentiments he expressed, and I liked the way he expressed them. I am posting this instead of PMing it, because he deserves the respect of a public affirmation.
Thank you, Sloppy Pockets.
Early in my own CTE research, I was intrigued by the idea that there might be some special, and useful, relationship between the 3 fundamental angles of the System and the proportions of the rectangular table, as is suggested by the idea that if a given CTE solution doesn't pot the ball in the intended pocket, it does pot it in some other pocket after one or more rail contacts.
So I used those values (i.e., the 2:1 ratio, and the 15°, 30° and 45° angles), to search for meaningful patterns in the geometry. I found no useable relationships. If you tessellate that 2:1 rectangular geometry across the plane, and then project lines oriented at the aforementioned angles across the tessellation (which would replicate geometrically idealized single, or multi-rail, 'bank' shots), you might expect those projections to result in useful intersections with pockets. They don't. The 45° case is degenerate; i.e., it intersects either 2 pockets or no pockets, and so there's no point in even using it in this test. But even the 15° and 30° angles don't produce anything interesting.
Of course, there are no idealized banks in reality. All banks are subject to the lengthening or shortening effects of spin, roll, and force (i.e. rail compression), but I thought that if there was, at least, an idealized solution, that it might reasonably be extrapolated to real-world conditions.
This failure, coupled with the notion of the system putting you into a 'slight overcut', as you mentioned, completely wrecked any chance of my own use of the system (well, there were a few other things :smile

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And, by the way, I don't recall anything about this 'slight overcut' in the material that predates the CTE2 DVDs... Was it there before, and I missed it?
- s.west