Math is awesome

[sixpenceee]

A mechanical binary counter.

[coughlinbrothersmortuary-deacti]

WHAT.

[blackoutace]

Finally! Something else to play Skyrim on

[allofthemath]

Genius

[allofthemath]

3blue1brown is always incredible, and this is a lovely demonstration of how definitions work and how ellipses are defined. 

[allofthemath]

My question is: does every geometric series have a visual proof like this?

After all, they are *geometric*...

[allofthemath]

What in this picture is most like a triangle?

[allofthemath]

Math tattoos are best tattoos.

[defectivealtruist]

[astrophysics-official]

given any loop (of any shape), are there four points that, when connected, form a square? (unsolved) or a rectangle? (solved and proved in this video)

topology is really cool!! and so is this video, it’s got really nice explanations and does so in a way that people with no topology knowledge can understand PS topology was used by this year’s winners of the nobel prize in physics!!

[allofthemath]

I’m reading Richard Feynman’s autobiography right now, and he’s definitely someone to learn from. 

My students always understand things better when they’ve explained them to other students or to me.

[allofthemath]

Our brains are complicated devices, with many specialized modules working behind the scenes to give us an integrated understanding of the world. Mathematical concepts are abstract, so it ends up that there are many different ways that they can sit in our brains. ” “A given mathematical concept might be primarily a symbolic equation, a picture, a rhythmic pattern, a short movie—or best of all, an integrated combination of several different representations. These non-symbolic mental models for mathematical concepts are extremely important, but unfortunately, many of them are hard to share.” “Mathematics sings when we feel it in our whole brain. People are generally inhibited about even trying to share their personal mental models. People like music, but they are afraid to sing. You only learn to sing by singing.

William Thurston, 1982 Fields Medalist

[szimmetria-airtemmizs]

Moving hyperbolic tilling. 

Finally I managed to make it:) In the end I used Moebius transformations to make it move.  

https://en.wikipedia.org/wiki/M%C3%B6bius_transformation

[allofthemath]

Source: https://betterexplained.com/articles/adept-machine-learning-course/

[szimmetria-airtemmizs]

Hyperbolic moving paralel lines.

[allofthemath]

There was a young fellow from Trinity, Who took the square root of infinity. But the number of digits, Gave him the fidgets; He dropped Math and took up Divinity.

One, Two, Three... Infinity (1947)

[allofthemath]

I am a proud wearer of a unit circle tattoo. A temporary one. They really exist: http://www.zazzle.com/unit_circle_temporary_tattoos-256579684477991624 Best part is I gave them to all of my trigonometry students, who wore them with pride.

[allofthemath]

“Lander and Parkin’s paper about a conjecture by Euler (related to Fermat’s last Theorem), is probably the dream of everyone ever written a paper: It answers an interesting and important question, it’s correct beyond any doubt,  it’s easy to understand and only two sentences long.”

https://paperpile.com/blog/shortest-papers/

[mathani]

[gayasscommie-deactivated2017090]