The Math Flow

God is in the details; so is mathematics.

[The Math Flow @TheMathFlow]

In topology - the branch of mathematics where shapes are allowed to stretch, bend, twist, and shrink, but never tear or glue.
For a topologist, a coffee mug and a donut are essentially the exact same object!

[The Math Flow @TheMathFlow]

When an object spins around its middle axis, even a tiny wobble keeps growing instead of dying out. Soon, the wobble becomes so big that the object flips over completely. Then the same thing happens again, so it keeps flipping back and forth. This is the Dzhanibekov effect.

[The Math Flow @TheMathFlow]

a³ − b³ = (a − b)(a² + ab + b²)

[The Math Flow @TheMathFlow]

Taylor Series of the Sine Function.

[The Math Flow @TheMathFlow]

Taylor Series of the Exponential Function.

[The Math Flow @TheMathFlow]

A simple proof of the Pythagorean theorem.

[The Math Flow @TheMathFlow]

- Srinivasa Ramanujan, as recounted in S. R. Ranganathan, Ramanujan: The Man and the Mathematician

[The Math Flow @TheMathFlow]

Today, November 7th, marks the birth anniversary of Sir Chandrasekhara Venkata Raman, one of India's greatest scientific minds.
At the age of 41, he won the Nobel Prize in Physics for discovering the Raman effect, becoming the first Asian scientist to receive a Nobel Prize in the sciences.

[The Math Flow @TheMathFlow]

The Fibonacci spiral is a masterpiece of structural design.

[The Math Flow @TheMathFlow]

Geometric Series: 1/2⁠ + ⁠1/4⁠ + ⁠1/8⁠ + ⁠1/16⁠ + ··· = 1

[The Math Flow @TheMathFlow]

@PhysInHistory Some people think it's fake. :)

[The Math Flow @TheMathFlow]

Taylor Series of the Exponential Function.

[The Math Flow @TheMathFlow]

When an object spins in zero gravity about its middle axis, the rotation is inherently unstable, and the object periodically flips 180 degrees mid-flight, a phenomenon known as the Dzhanibekov effect.

[The Math Flow @TheMathFlow]

There is exactly one you.

[The Math Flow @TheMathFlow]

@vapor_ware404 Indeed.

[The Math Flow @TheMathFlow]

@Alan851603 The instability of it keeps on growing; it flips to overcome that somewhat.

[The Math Flow @TheMathFlow]

When an object spins in zero gravity about its middle axis, the rotation is inherently unstable, and the object periodically flips 180 degrees mid-flight, a phenomenon known as the Dzhanibekov effect.

[The Math Flow @TheMathFlow]

@BarryYoungNZ That i have to think about, sure it wont be that simple.

[The Math Flow @TheMathFlow]

@EternitiesAI Yes Some daily use objects show this effect.