On Sunday, March 8, 2020 at 5:18:24 PM UTC+2, bassam karzeddin wrote:
> I have just published it on Quora (in accordance with their formate, but I have immeadeatly noticed that the academic moderator didn't like to reveal this truth for public attention by their invisible tools on the visibility of my answers where it would be attacked so aggressively once placed visibly to the common public academic mainstreams in all theoretical sciences for sure
>
> They simply don't like to see the fact nor able to refute me
>
> The link is here with only two views of visibility (abnormal and so unusual)
>
> https://www.quora.com/What-is-approximately-the-longest-distance-between-vertices-of-a-regular-polygon-of-unity-side-distance-and-a-given-number-of-sides-saying-3141592653589793/answer/Bassam-Karzeddin-1
>
> Most likely they wouldn't allow you to see it very soon, so hurry up and report it immeadeatly (as always as usual)
> *********************************************************
> My Question: What is "approximately" the longest distance between vertices of a regular polygon of unity side distance and a given number of sides saying (3141592653589793)?
>
> Also My Answer
>
> Let me introduce the elementary proof probably number (7) about the greatest illusion of all the times about the so-called “*circle*” in human minds in mathematics and science since their early start
>
> And since the whole lengthy business of $\pi$ is a matter of an endless and good approximation, then no harm at all to use those well-estimated approximations in order to convey a very hidden fact that confused all generations up to this date about a geometrical object named “circle” in all old and modern human civilizations and conceptions as well, where there was no conflict about it
>
> My So Peculiar Claim About The Circle And $\pi$
>
> I simply claim that the circle doesn’t exist even on the theoretical level thus $\pi$ isn’t a number nor it is any existing constant
>
> But what does exactly exist are those existing regular polygons that seem to us like circle due to the so limited abilities of our eyes abilities to see relatively the very small side of those existing regular polygons
>
> And the ratio of the perimeter length to the longest distance between vertices is a variable (non-constant) constructible number (that can be always approximated in the endless rational field representation with no stop in the same form that actually $\pi$ is approximated
>
> And since the existing regular polygon with the maximum number of sides never exists so nither the circle exists nor $\pi$ is any real number
> To illustrate that for mid-school students and interested laypersons let us follow this another elementary proof by observing how a regular polygon perimeter is with unity side distance are growing slowly and have the complete properties of what we know as $\pi$ constant number in both our old and modern mathematics as well
>
> One more important note that one should keep in mind about regular polygons are two types, the existing regular polygons in accordance with Fermat’s Polygon number that hence can be exactly constructed with a number of sides like ${3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, …}$
> Where a regular existing polygon with a maximum odd number of sides is equal to $(2^{32} - 1 = 4294967295)$
>
> And a regular existing polygon with minimum even number of sides equals to $(8589934590)$
> And the non-existing regular polygons that are impossible to construct by any means due to their absolute non-existence with a number of sides like
> ${7, 9, 11, 13, 14, 18, 19, 21, 22, 23, 25, 26, 27, 28, 29, 31, 33, ...}$[/math]
>
> However, this second type of regular polygons can be approximately constructed by many well-known means like (eye marking, marked rulers, carpenter skill methods, paper folding, Origami, …, etc), and may also construct exactly the first type of truly existing regular polygons as well
> So, let us in this answer use approximations based on approximated digits of well-known $\pi$ to avoid reinventing the wheel
>
> And a student should remember that my regular polygon is with one unity arbitrary existing distance that is basically undefined but can be as large as a galaxy length distance or as small as a blank constant length
> So, to see clearly how $\pi$ is a complete property of regular polygons and never for circle, kindly observe the following
>
> Given a regular polygon with (31) sides each with unity distance side would require the maximum distance between vertices nearly of (10) units, where the ratio (R) of its perimeter to that distance is simply $(R = \frac{31}{10} = 3.1)$
>
> Similarly, a regular polygon with a number of sides (314) and unity side distance would require the maximum distance between vertices approximately of (100) units distance, where the ratio (R) of its perimeter to that distance is simply $(R = \frac{314}{100} = 3.14)$
>
> Similarly, a regular polygon with a number of sides (314159) and unity side distance would require the maximum distance between vertices approximately of (100000) units distance, where the ratio (R) of its perimeter to that distance is simply $(R = \frac{314159}{100000} = 3.14159)$
>
> Similarly, a regular polygon with a number of sides (3141592653589793) and unity side distance would require the maximum distance between vertices approximately of $(10^{15})$ units distance, where the ratio (R) of its perimeter to that distance is simply $(R = \frac{3141592653589793}{10^{15}} = 3.141592653589793)$
>
> Didn’t you observe yet that even the approximation of $\pi$ up to 15 accurate digits is absolutely for regular polygons
>
> Didn’t you observe yet that your number $\pi$ isn’t any constant number since it is increasing indefinitely and theoretically and no matter however you think the increment is negligible
>
> Of course, an engineer or carpenter is completely excused for whatever approximations they actually need to say only a few digits for their earthy problem solutions approximations that never require any kind of perfection that theoretical universal mathematics strictly require
>
> In other words, theoretical scientists in (logic, philosophy, physics, and mathematics in particular) mustn’t hide behind those well-understood reasons since they aren’t after a technical problem solution nor having any true reason for whatever approximations they talk about by whatever methods like (limits, convergence, Cushy sequences, Dedekind cuts, Newton’s approximations, Intermediate theorem, …etc)
>
> Do you need more and more of many regular polygons with the unity side (??) that would give you more and more of approximations of your well-known $\pi$?
>
> Yes, indefinitely, there are many uncountable of them for sure
> consider this for example
>
> Similarly, a regular polygon with a number of sides (31415926535897932384626433832795028841971693993751058209) and unity side distance would require the maximum distance between vertices approximately of $(10^{55})$ units distance, where the ratio (R) of its perimeter to that distance is simply $(R = \frac{31415926535897932384626433832795028841971693993751058209}{1^{55}} = 3.1415926535897932384626433832795028841971693993751058209 ) $
>
> Don’t please let only the decimal notation confuse you since it is not any magical tool that can suddenly turn no numbers to real numbers because it is basically a division notation operation (nothing new about it)
>
> So you're ultimate number $(\pi = 3.141… = \frac{3141…}{1000…} = \frac{No-number}{No-number} = No-number)$
>
> Hence, for any obtained approximation of $\pi$, there is definitely a corresponding appropriate regular polygon that is its actual source
> So, where is the circle in the whole issue of regular polygons? Wonders!
> And where is the circle one must ask himself honestly and seriously as well
> And where is that number so-called constant number as $\pi$? Don’t ever wonder
>
> With this true unknown reasoning and normally not accepted by modern maths the old Greeks famous unsolved problems in the entire history of mathematics, still hanging over waiting to be solved and closed so easily as they were
>
> Had the ancient Greeks well-understood this hidden fact behind their three riddles then most probably you would have never heard about their three impossible construction problems
>
> Copyright(c), 2020
> Bassam Karzeddin
>
> References: My public freely published posts here and in many sites
>
> Also, the stolen old contents are important in the doomed Math Forum (at Drexel) and Stalk Exchange, and hidden Answers on Quora

Take help of Artificial Intelligence to understand most simple elementary matters in your mythematics

BKK