Real Area(2D)


According to my calculations,  Xy and Yx have unique special designs and local designations. I doubt that they fit in the exact same position, but who knows? All I can tell is that even when Xy^2 covers all of Yx's length_width vertically, it only represents half the total area. Therefore, Yx^2 is required. (Xy's width_length + Yx's length_width) is near equivalent to the total area when the adjusting hypotenuse formula is used. That's a minor worry for me. My major conflicts are now possible shapes this 2D dimension can take, and what are their coordinating placements. 
See the simplified grid example. If Yx = 5, and Xy = 5 , then  Max(H) = 7.071. If Yx was half, their quantities would be 10 wrapped up in 5 units of  distance. For some reason,  Max(H) is an extended form of that 5. It's like topology or twisted strings. They do resemble DNA constructs by label, but I don't know too much about that other than their chemical building blocks. For now, I'm going to take some time to reflect on what possible forms must this 2D structure take. I want a mind dissolved from all irrelevant prior knowledge. I want to comprehend it for what it actually is.  How can a 2D structure evoke depth like a Z axis ? It makes no sense. There might be another way to imagine this like an S , bend, , or looped shape or something. 


I call this formula Real Area. It combines quantitative processes, apply minimum limits to percentile units, and identify values decaying from interactions between quantity and percentile units via their operators. Here are some ground rules. Minimal percentage has to be 1%. A relative basis of 1 to 100% is the reference for all higher proportionalities associated with quantities(see diagram 2). If the relative basis is 1 to 100%, all resulting values will have a floor of 0.028284V. 2D cannot label its lengths similarly to 1D because their features and functions change. D1 can use Y as length and X as width, but 2D uses Yx as length_width and Xy as width_legth. This distinction is real for 2D because at every coordinate, or minimal unit, there must be an (X+Y) or (Y+X) coordinate. When coordinates are analyzed in 2D, they also pass through irrational zones seen approximately as radical2 or 1.4142Yx and Xy.  The 2D paradigm is as balanced as any other greater or smaller dimensions.  As far as I can tell, I cannot multiple a value with another. I can only add, separate , or multiple them via quantity. This totally violates Legacy Math's principles concerning like terms. 
 
Example 1's logic goes as follows. If I know a unit of 1Xy and 1Yx, I can deduce H is equivalent to 1.4142 units at 50%. Since I can change the length_width of H from minimum to maximum, 1.4142 maximum length_width sits at the 50% range. Therefore, an isolated 0.028284 value sits at the 1% range at 1 quantity with a combined coordinate of (Y1,X1). Following these calculative logics, the Real Area for units 1Yx to1Xy is near equivalent to 72.1242 units with 2550 distinct quantities associated with a relatively minimum value of 0.028284V. Certain percentile values ,highlighted in green boxes, represent their ability to adjust depending on the kind of shapes that they come in contact with. For these examples, I used squares, but I can apply them to rectangles , circles, etc.  These same logics apply to example 2. 

As a result, all units ,except for percentile, units have to become granular. So, quantities, values , and distance units take on decimal features if their percentiles iterate at a fix 1%, minimal adjustment. I now know, for example 1, that it would take 35.3357 quantities of full value Xy width_lengths to fill an Yx length_width. 
Anyway, I must design a short had to find quantities within a range of adjusting H. I should if I plan to answer the question ," How to find min(H) from N to 4 ? for example. Plus, I'll update the formula for area after I design a shorthand for adding those changing H.
  
I added example 3. It illustrates the shorthand for finding the quantity within a range of adjusting hypotenuse. It also adds and separates those ranges.  The Real Area formula has been updated.

(3^2 + 4^2 = 5^2)'s shorthand correlates to an unsolvable problem (Fermat's Last Theorem) , but I won't know until I reach 3D. I'm in no rush.  Soon,  I will update this page on my blog. It is almost definitive. R.I.P Galileo, Pythagoras , Isaac Newton, Einstein, and be gone! Line-Brain dimension. Constructing Real 2D Area
https://almighty-darkness.blogspot.com/2024/09/rip-pythagoras.html "

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