#Mathematical Constant

[skinmechanix]

The gravestone of William Shanks (1812 - 1882), who calculated the value of PI to more than seven hundred and seven decimal places by hand and without a calculator. He would perhaps have been better remembered (and his grave better preserved) had he not made a mistake at five hundred and twenty seven decimal places. This was the longest expansion of the value for PI until the advent of digital computers in the 1940's.

[theinvisiblenarad]

Pi Approximation Day: Embracing the infinite magic of pi

I welcome my wonderful readers to a celebration of mathematics and wonder! Today, we delve into the enchanting realm of Pi Approximation Day, where we shall unlock the secrets of this fascinating and infinite number.

History of Pi

The Ancient Roots

The tale of Pi begins in ancient civilizations. Egyptians and Babylonians both attempted to approximate the value of Pi recognizing its significance in geometry. However, it was the ancient Greeks who truly embraced Pi.

Read More: https://theinvisiblenarad.com/pi-approximation-day/

[szimmetria-airtemmizs]

On the sides you can see two curves of constant width, that is a curve whose width is the same in all directions. This is the reason they always touch the two lines as they rotate. The existence of curves of constant width is well known by now. What is much less known is that you can morph between any two such curves such that during the morph the curve stays a curve of constant width. For these two curves the morphing can be seen in the middle. (Actually, you can see two different morphs. )

[art-of-mathematics]

I know I have drawn this shape so often already, but the process of drawing it is so soothing.

And for that, I have drawn a kind of step-by-step guide how to draw that shape in the top of this drawing:

(from left to right: ) [sorry in advance if I make it sound more complicated than it actually is. If you want to draw it, I would advice you to focus more on these illustrations rather than on my gibberish-text.]

1. draw a 2-dimensional Cartesian plane - or, in other words: just draw a cross like depicted

1.1. mark 2 points on the y-axis/vertical line with same distance to the coordinate origin, then mark 2 points on the x-axis/horizontal line with the same distance to the coordinate origin. (The markings on the y-axis need to be farther away from the origin than the markings of the x-axis)

2. connect the 4 marked points like depicted above. This is a function plot of a tractrix. (it has two mirror symmetry axes. )

3. draw an ellipse and connect the two markings on the x-axis. This becomes a kind of "belt" for the pseudosphere (4th picture)

4. part the ellipse into whatever-amount-you-want of partings (like you would cut a cake) and slightly mark these.

5. now imagine you cut that shape horizontally on the outer surface. (In the 5th picture I depicted that with red-ish pen across the pseudosphere. ) -

6. then the cut shape needs to be "(shape) shifted". For that we use a set of marked points we did in step 4). Furtherly, we "cut" the ellipse open, and push one end of it to the top, and the other end to the bottom. (depicted in picture 6 )

7. Then we connect the rest to get that shape:

[ramenwithbroccoli]

not to be controversial on main, but i really do feel like way more people would enjoy maths if someone properly explained it to them & they didn't have a hanging threat of failing an exam above their heads

[youandthemountains]

it probably is insane how much I wish I could express the thing about spones. the vibes about spones. Like there's the joking fun fandom vibes and I love them, I love to play with them, of course of course. but the THING. the CORE to me. i wish i could capture it and share it.

[unluckysatellite]

…

Li Zeyan/Victor 🤝 Xia Yizhou/Caleb

Getting wildly fucked over by their english localization (in different, completely stupid ways) and being hated for being “abusive” by the western fanbase and thusly continuing my curse of only loving cn otome men who are always gonna be hated on hahahahha

But also: the 哥哥 to 哥哥 connection is real (if you know you know) hahahah

[chippycore]

considering how people at the island need to calculate (or something i dont really remember) their soul numbers i wonder how anyone just sorta...finds an irrational number to be their number

[thepastisalreadywritten]

The first recorded use of π as a mathematical symbol comes from the Welsh mathematician William Jones in a 1706 work called Synopsis Palmariorum Matheseos in which he abbreviated the Greek περιφέρεια to its first letter: π.

He wrote: “3.14159 andc. = π”

He explained that he chose this symbol because it was the initial letter of the word ‘Periphery’ or ‘Circumference.'

However, the use of π as a standard notation for Pi was popularized by another mathematician, Leonhard Euler, who adopted it in 1737.

Euler was one of the most influential and prolific mathematicians of all time.

He used π extensively in his work on calculus, number theory, geometry, and physics.

He wrote:

“Let π denote the ratio of the diameter of a circle to its circumference."

Since then, π has become a universal symbol for pi and one of the most recognizable and celebrated mathematical constants in the world.

—

William Jones, FRS (1675 – 1 July 1749) was a Welsh mathematician, most noted for his use of the symbol π (the Greek letter Pi) to represent the ratio of the circumference of a circle to its diameter.

He was a close friend of Sir Isaac Newton and Sir Edmund Halley.

In November 1711, he became a Fellow of the Royal Society and later its vice-president.

—

Leonhard Euler (15 April 1707 – 18 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician, and engineer who founded the studies of graph theory and topology.

He made pioneering and influential discoveries in many other branches of mathematics, such as analytic number theory, complex analysis, and infinitesimal calculus.

He introduced much of modern mathematical terminology and notation, including the notion of a mathematical function.

He is also known for his work in mechanics, fluid dynamics, optics, astronomy, and music theory.

[quinn-fucks-shit-up]

personally I love when maths stops including any numbers at all, that bit's my favourite part

[bdknopp]

POWER OF PI…

“Pi is not just a collection of random digits. Pi is a journey; an experience; unless you try to see the natural poetry that exists in Pi, you will find it very difficult to learn.” ― David Chudnovsky David Chudnovsky, an acclaimed mathematician and co-discoverer of the Chudnovsky algorithm, shares his insight on the beauty and depth of pi, a fundamental mathematical constant. He encourages us…

[vanishingmoments]

I pray there never comes a day after this circuits class where I have to derive a function from a convolution integral involving a piecewise function because if there is i'm 110% fucked

[art-of-mathematics]

Pseudosphere transforming into Dini surface (WIP)

Here is a gif to what I try to depict:

Great website:

[i-iii-iii-vii]

assuming the attacks are multiplicative and not additive i'd go for 0 and i 

as 0 makes bad things disappear and i stops them from beeing real

besides that i (me) identifies with i (constant) as under the given relation both sides (i / other constants) can't interact with each other in any meaningful way.

if i was allowed to pick three constants i'd go for eπi✨ which benefits me with 0 all along (ʃ��˘ᴗ˘)♡

[dotbot3812]

call me tau cause i dont need half the shit you have