There is no way for me to know if you have ever studied or heard of Colonel John Boyd, he is the fighter pilot philosopher who came up with the OODA Loop Theory.
OODA stands for observe, orient, decide, and act.
In other words first you observe, and then orient yourself, and make the decision as to which strategy or attack you will use; and then act upon that decision.
This is how birds of prey, or predatory all animals think before attacking their next meal.
Now then, they may not realize what they are doing when they do this, because it becomes an instinctual process, and one, they must master for survival, otherwise they go hungry and do not eat.
Colonel John Boyd used his theories to help the fighter pilots get the edge with their aerial victories.
One of the biggest concerns that Colonel Boyd made known was the need for agility, maneuverability, and energy.
In other words it was up to him to teach fighter pilots how to swoop in on their enemy without giving away speed or agility during the maneuvers.
It is widely known that fighter pilots have an incredible ability to spatially see this in their brain.
And the enemy fighter pilots if they wish to survive such an attack must also have an equally innate sense of this to defend themselves, maneuvering into position, and attack the aggressor.
Now then I have a question that I came up with the other day when watching the Discovery Channel as sharks were going after schools of fish.
The sharks would come into the school of fish and open their jaws hoping to catch a few.
Often just as they swooped in, the fish schools would morph around the predator as he went through where they had just been, and then the fish school would move off into a different direction, in this cat and mouse game.
Now then my question is; do fish schools when invading such Predators Follow Mathematical maneuvers similar to that of the OODA Loop Theory.
That is to say do they morph in such a way that allows them to keep up their speed and agility while evading? In looking at how these fish schools evade their predators, I would say that yes.
And I would also submit to you that if you took the center average of the fish school as it morphed studied it from a geometric mathematical standpoint, that it's maneuvers would be similar to those taught to fighter pilots.
Now then, I would also submit to you that in the future with swarm robotic warfare that the Mathematical directions and maneuvers of these fish should be known by the Department of Defense so they can take up similar strategies.
This might sound like a complicated task, but I believe it's not, and I also believe that you were to take three-dimensional boxes in a grid format along with the morphing motions within that grid that you could plot the average course of that school of fish as the evaded their predator.
You might even find similarities to how birds in large flocks, or insects on the ground on a two-dimensional plane also morphed their group and evaded predators.
This in and of itself would give rise to the theory of the wisdom of crowds.
Although no one has ever studied this to the degree that I am suggesting, it is my contention and belief that it should be studied, and that there is a lot to be learned from such things.
Perhaps that's why I run a think tank, and attempt to come up with at least two original thoughts every day of my life.
If you have any comments, questions, or concerns about this potential breakthrough in Mathematical Alleviating maneuvers of swarming, then please shoot me an e-mail.