The Non Transcendental, Exact Value of π and the Squaring of the Circle

[C.B.]

I can’t understand what you’re doing fellow.

[Arthur]

C.B.... Where is 0.786151377757 in b?

That's your formula.

Yes, that's what they'll tell him in a math forum, and I know this because I have seen it several times.

[C.B.]

What have you seen several times?

[Arthur]

The same type of demo. Go to a math forum, show it, and you'll see. I think that's the best advice we can give you.

[C.B.]

Thanks for the advice pal.
What if we begin to discuss Zeno’s Paradox about Achilles and the Tortoise.
Just for variation.

[Hush]

now C.B.,

I don’t worry about you so much. But you should do it.
As for the importance of 3.1446 your ridiculous behavior towers many times above the importance of that question here.
A malicious clown, incapable of creative thinking.
Nothing can top something like that in a simple chat thread.

Well that's really good news you're not worrying about me because you have more important things to do like credibly proving your 1/2-page faked Pi=3.1446 nonsense to the rest of the world. So stop babbling, being so easily distracted and focus on the main subject here which is to continue your mad-as-a-hatter quest to foolishly try and credibly prove your 1/2-Page faked pretend math Pi=3.1446 nonsense.

My dear C.B. you've been working tirelessly trying to fake a Pi=3.1446 proof for 8-years like a dedicated Jehovah Witness who are relentless pushing their beliefs onto people who are not interested, but at least the Jehovah Witness have some success managing to fool a few people into believing their religion, however C.B. after 8-years you still haven't convinced anyone your 1/2-page faked True Pi=3.1446 nonsense is credible. They should name a cocktail drink after you called the C.B. which has a shot of stubbornness mixed in an overwhelming glassful of failure. You are a genius in your own mind my dear C.B. Keep up the good work there sparky. You should try going to an insane asylum, and you will probably find folks there who will believe your 1/2-page faked Pi=3.1446 nonsense.

[omedam777]

This keeps getting better and better

Screenshot_20250916_233122.jpg (154.71 KiB) Viewed 2658 times

[omedam777]

I can’t understand what you’re doing fellow.

Don't really care about your denial of your own equation. I prefer moving forward with new formulas.

While you dabble in imperfections:

Screenshot_20250916-234403_Desmos.jpg (104.72 KiB) Viewed 2658 times

I will keep on exploring order and balance:

Screenshot_20250916-234632_Desmos.jpg (103.56 KiB) Viewed 2658 times

[C.B.]

Don't really care about your denial of your own equation. I prefer moving forward with new formulas.

My own equation?
Do you mean this nonsense?

b^4+b^2–1= -0.00264546308034

Know your parents you’re using their PC?

“my equation” is written this way:

b^4+b^2-1=0

Where did you pull this piece from, I don’t want to know:

b^4+b^2–1= -0.00264546308034

Otherwise you can keep looking for balance.
Did you already try tightrope walking?
Because math is a dangerous business if you don’t do it properly. You can slip into madness without even noticing it. And I’m serious about that.

[Arthur]

I will keep on exploring order and balance:

i found this demo

The Coxeter's loxodromic sequence of tangent circles.

Coxeter_circles.png (9.48 KiB) Viewed 2650 times

With 4 adjacent circles (1,2,3), the last one in the center of the three others (0).
If the radius of the circles are in geometric progression, the reason of this progression is k = ɸ + √ɸ = 2.89...
The angle between consecutive triples of centers is atan(√ɸ) = 51.827° the same angle as the the Kepler triangle.

Explanations

This come from Descartes theorem