Lanny Dean
EF5
I have been a little slow and have, over the last few days, finally read the entire thread by Mr. Van Grun. While somewhat interesting to read, it is not viable or tangable in the aspect he is trying to promote. This has prompted me to start a new thread (as the old thread is now locked)
My hope is that we can keep this thread from going down hill by ligit. responses....NO DOUCHBAG NAME CALLING STUFF, PLEASE.
I believe what Mr. Van Grun is refering to is called or better yet in direct relationship with the Mandelbrot Fractal. Not necassarly the Cardioid, at least not in this situation...that is, tornado outbreaks, tornado life cycle and even tornadogenesis.
It seems somewhat easy, at least to someone who is in the mathmatical field, to apply the basic equation r = 2a(1 - cos θ), this equation is in reference to both polar coordinates however keeping in mind that both polars have to be thought of or included....it wouldnt/can not work any other way.
Here is the problem with his (Mr. Van Grun) thought process:
He has not calculated for both polars. Simply stated, the Cardioid is an envelope of all circles whos centers are based on a fixed circle. In motion, they pass through each other but, only one point on the fixed circle.
What he is trying to explain, I think, is the one full cusp of "that" circle.
That equation(s), which he had given would be:
x = (a + b) cos(t) - b cos[(a/b + 1)t] And x = (a + b) cos(t) - b cos[(a/b + 1)t]
The above equations he gave do not in any way fit the verbal schematic he gave. If memory serves me correct, (it has been a long time since my college days)....They represent the basic epicycloid as far as the circumference only. Not the "cyclic" movement he was trying to explain.
With his verbal schematic and layout, the Holly Colorado tornado 3/27/08
should have never happened. It would have been out of the next "phase" or cusps. This could also include the Bird City 3/28/07 tornado as well.
The outer circle has to be the same radius of the inner circle for his "thought process" to work correctly. It simply does not fit. No questions, no exceptions.
I guess one could make the argument that Greensburg and Hallam and the 5/3/99 event for that matter would and do follow the basic Cardioid pattern. But there is no way, at least that I know of that could allow such mass chaos to happen along a curve per say, that would allow us to know exactly where tornadoes/tornadogenesis will happen.
Just my thoughts on the matter.
Edit: I would be interested in hearing from Mr. Van Grun to see what he has to say about this. Of course, I do not have the apparent mathmatical knowledge he does, but I did have to study some of this in electronics while I was in college. I can only assume that he will respond (hopefully) and I ask anyone interested to do the same.
My hope is that we can keep this thread from going down hill by ligit. responses....NO DOUCHBAG NAME CALLING STUFF, PLEASE.
I believe what Mr. Van Grun is refering to is called or better yet in direct relationship with the Mandelbrot Fractal. Not necassarly the Cardioid, at least not in this situation...that is, tornado outbreaks, tornado life cycle and even tornadogenesis.
It seems somewhat easy, at least to someone who is in the mathmatical field, to apply the basic equation r = 2a(1 - cos θ), this equation is in reference to both polar coordinates however keeping in mind that both polars have to be thought of or included....it wouldnt/can not work any other way.
Here is the problem with his (Mr. Van Grun) thought process:
He has not calculated for both polars. Simply stated, the Cardioid is an envelope of all circles whos centers are based on a fixed circle. In motion, they pass through each other but, only one point on the fixed circle.
What he is trying to explain, I think, is the one full cusp of "that" circle.
That equation(s), which he had given would be:
x = (a + b) cos(t) - b cos[(a/b + 1)t] And x = (a + b) cos(t) - b cos[(a/b + 1)t]
The above equations he gave do not in any way fit the verbal schematic he gave. If memory serves me correct, (it has been a long time since my college days)....They represent the basic epicycloid as far as the circumference only. Not the "cyclic" movement he was trying to explain.
With his verbal schematic and layout, the Holly Colorado tornado 3/27/08
should have never happened. It would have been out of the next "phase" or cusps. This could also include the Bird City 3/28/07 tornado as well.
The outer circle has to be the same radius of the inner circle for his "thought process" to work correctly. It simply does not fit. No questions, no exceptions.
I guess one could make the argument that Greensburg and Hallam and the 5/3/99 event for that matter would and do follow the basic Cardioid pattern. But there is no way, at least that I know of that could allow such mass chaos to happen along a curve per say, that would allow us to know exactly where tornadoes/tornadogenesis will happen.
Just my thoughts on the matter.
Edit: I would be interested in hearing from Mr. Van Grun to see what he has to say about this. Of course, I do not have the apparent mathmatical knowledge he does, but I did have to study some of this in electronics while I was in college. I can only assume that he will respond (hopefully) and I ask anyone interested to do the same.
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