[quote=“Forester, post:24, topic:180”]I do not know who when and why first started observing scatter from diamond.
If I guess it would be probably because it is the easiest to see the point when the ball hits it.[/quote]
I’d think that yes, in part it is because it is easy to see. But more profoundly, it has to do with the idea that until diamond hit, the physics of roulette can be mathematically modelled. After diamond hit, the bouncing is chaotic and the only thing one can do is to collect statistics about the scatter distribution. It seems obvious, but it is deceptive.
Forester, you are the only one I’ve seen who has gone a step further and examined the effects of hitting different parts of the diamond. Of course, a hit on the upper part of the diamond implies higher speed of the ball (it hasn’t had so much time to slow down during its spiraling movement) and a bit greater distance form the rotor. Both these factors imply a longer jump and (I assume) a scatter distribution which is both flatter and has its peak further away from the (number under the) diamond impacted. An impact on the lower (actually the middle part) of a diamond can only happen at lower ball speed. And since the distance to the rotor is a bit shorter, the ball will quickly land after the impact and the scatter distribution will likely be more peaky and centered closer to the number under the impacted diamond.
I assume that your focus on rotor hit rather than diamond hit, has to do with you wanting to indirectly include the details of the diamond impact in the modell, rather than leaving it all to the scatter. Even if there isn’t enough precision in ball timing to predict which part of the diamond will be hit, it might be useful for scatter analysis to consider the concept.
After the diamond hit the ball can stay in the air 0.1s or ~1 s. It is ½ wheel difference.
Yes, and you’d like to measure this, right? I would suggest using digital sound recording. It should be easy to manually identify the of the ball hitting a diamond, and also the first after that, when it hits the rotor (or something else). Therefor, on a soundlevel-over-time graph, you can measure the “air time” of the ball with very high precision. In combination with a video frame analysis, the causes and consequences of ball air time could be revealed.
In the best case, the air time of the ball is strictly correlated with what part of the diamond it has hit (longer air time means hitting higher up). This could be verified by measuring ball speed and distance to diamond before impact. Whether it hit (the top of) one diamond, or (the middle of) the next vertical diamond a quarter of a revolution further away, is obvious from video analysis. If lucky, there will be a very peaky and nice scatter distribution for the cases when the ball hits the lower part of the diamond! Most freak scatter events maybe might be defered to the top-of-diamond impact events where the ball spends a lot of time in the air.
Anyway, I don’t think it is the point of impact with the rotor that is of primary interest. It is the air time. The two are different because the ball might make its first landing on something else than the rotor. And air time is best measured acoustically, since the time resolution of digital audio is many times higher than in video analysis.