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This straight line topic is fascinating! Look how transforming the start and finish into lines creates endless possibilities of how to find the efficient solution. All of them which are straight lines. I have also indicated an inefficient solution. Still a straight line, but longer.
You're not necessarily correct that a longer line is less efficient. Eg, in the case of a wave propagating between 2 points in a layered medium (with the layers having different velocities) it's not true that the straight line is the quickest. The rays will travel so as to minimize time not distance.
Can´t see the videos, but sure enjoy mused detail like in this thread. Like with Hamia´s pointer to layered medium and the benefit of hitting angles closer to rectangular.
It's a matter of choice. You have to make a decision about how you want to model your flamenco learning experience. In economics, modelling a market with linear supply and demand functions is far from how supply and demand really behave, but it's a great way to get a basic idea of how things will probably turn out in the long run. A layered medium seems to be an advanced approach compared to the parrallel lines and might be more accurate, but will it be suitable as a workhorse model?
Wow guys...ok, a diagonal line is straight, but you imply two different end points or "goals" which as I said before, makes no sense to me why someone would have a different goal regarding flamenco. THe sphere example IS 2d speaking of the surface, where the straight line I refer to between two points, again, exists on the INSIDE of the sphere (clearly) in 3d. Perfect example how "skimming the surface" might get you there, but it's not the direct and more efficient path.
Wow guys...ok, a diagonal line is straight, but you imply two different end points or "goals" which as I said before, makes no sense to me why someone would have a different goal regarding flamenco. THe sphere example IS 2d speaking of the surface, where the straight line I refer to between two points, again, exists on the INSIDE of the sphere (clearly) in 3d. Perfect example how "skimming the surface" might get you there, but it's not the direct and more efficient path.
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