The turtles are a lot smarter than they seem sometimes. Hereās my headcanon/breakdown of how their minds tick.
The planner. His mind is a giant chessboard, and heās memorized all the possible moves. He knows that if he plays a certain move, he can expect his opponent to play one of three, and heās ordered them from most- to least-likely and built off of that. From a coldly logical standpoint, he analyzes his options and determines not only the best way to achieve victory while taking the fewest risks, but how his opponents will build their own similar strategies.
He can also plan on the fly very well, able to make instantaneous adjustments to his former chess moves in order to deal with unexpected outcomes. His spacial awareness is massive, as well, and he can keep track of numerous opponents at once on any battlefield.
His problem: emotion. He predictions are usually top-notch and right on the money ā up until emotion comes into play. Itās his variable, the thing that topples his house of cards and leaves him falling back on reactions rather than leads.
Reactionary. Raph doesnāt plan ahead; he plans in the heat of the moment, well aware that his opponents arenāt going to follow any sort of plan he makes for more than a step or two. And when his predictions fail, his raw strength and skill succeed, making him a lethal kind of fighter. His greatest strength is in knowing exactly how to press his foeās buttons to get them to react the way he wants them to.
Unlike Leo, Raph can only plan on the fly, which is useful against opponents who try to plan ahead seven moves in advance; Raphās natural mindset wrecks those types of thinkers. He also works new techniques down to muscle memory, leaving him able to fight blind if needed.
His problem: his rage. If his opponents can get him riled, everything else breaks down; he can keep up some semblance of control up to a point, but after that, he loses all ability to lead his opponents or think clearly.
Cause and effect. Logic and strictly linear thinking drive Donnieās mind, leading him to knowing all possible uses for any given item or action and enabling him to correctly plan an incredibly complex series of events. This is shown especially in his ability to code computer programs, hack anything with said codes, and build fully functional mechanical objects. He knows exactly what will happen if a certain number of chemicals are mixed, and knows how he can use them on the spot.
His logic center also allows him to plan ahead in a battle, knowing how his opponents will react to every move he makes and allowing him to plan for it. Heās also able to keep track of numerous subjects at once, essentially able to deflect darts while knocking them into key targets at the same time.
His problem: heās too linear. He has difficulty stepping back from a problem, which stops him from seeing the big picture. There are times the answer is staring him right in the face, but he canāt see it because heās too focused on the smallest details.
The non-thinker. Mikeyās mind is built in the exact opposite way that Donnieās is: he doesnāt think to find answers because the solution is always extremely obvious to him. He takes in knowledge without paying attention to it, as well, leading him to having a kind of complex beehive of knowledge in which any relevant information he needs is simply delivered to him, not unlike puzzle pieces being laid out for him.
This is the boy who jumps into dangerous situations feet-first and, through sheer speed, gets out unscathed. Heās also weirdly accurate with his predictions, especially in time frames, proving that he has an odd geometric mindset that doesnāt run on numbers. For example, he can tell you the exact distance between two objects and the time itāll take to travel between them at any given speed and be accurate within a few percent, and he has no idea how he does it.
His problem: words. He doesnāt know what terms like āintegerā and āvariableā mean, so math- and science-jargon go right over his head. He doesnāt know how to figure out how someone will react through logical means; he only knows how emotion will drive their actions.
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