Crush By Richard Siken // Two Girls In Bed By Henri De Toulouse-Lautrec // “Washing Machine Heart”

Lunar Eclipse 2019 | Zoltan Tasi

Seeing the world from under ! 🐠🐠🐠💦🌊 | benthouard

Location: French Polynesia

Does time exists?

What is the actual reality of time?

Why does time follows “arrows”?

Saint Veronica with the Veil (Original piece by Mattia Preti c.1655-1660) Touched by Clayshaper

I love statues like this. How does someone have so much talent?

Beautiful proofs (#4) - When Gauss was a young child...

The legend goes something like this:

Gauss’s teacher wanted to occupy his students by making them add large sets of numbers and told everyone in class to find the sum of 1+2+3+ …. + 100.

And Gauss, who was a young child (age ~ 10) quickly found the sum by just pairing up numbers:

Using this ingenious method used by Gauss allows us to write a generic formula for the sum of first n positive integers as follows:

Blanet: A new class of planet that could form around black holes

The dust clouds around supermassive black holes are the perfect breeding ground for an exotic new type of planet.

Blanets are fundamentally similar to planets; they have enough mass to be rounded by their own gravity, but are not massive enough to start thermonuclear fusion, just like planets that orbit stars. In 2019, a team of astronomers and exoplanetologists showed that there is a safe zone around a supermassive black hole that could harbor thousands of blanets in orbit around it.

The generally agreed theory of planet formation is that it occurs in the protoplanetary disk of gas and dust around young stars. When dust particles collide, they stick together to form larger clumps that sweep up more dust as they orbit the star. Eventually, these clumps grow large enough to become planets.

A similar process should occur around supermassive black holes. These are surrounded by huge clouds of dust and gas that bear some similarities to the protoplanetary disks around young stars. As the cloud orbits the black hole, dust particles should collide and stick together forming larger clumps that eventually become blanets.

The scale of this process is vast compared to conventional planet formation. Supermassive black holes are huge, at least a hundred thousand times the mass of our Sun. But ice particles can only form where it is cool enough for volatile compounds to condense.

This turns out to be around 100 trillion kilometers from the black hole itself, in an orbit that takes about a million years to complete. Birthdays on blanets would be few and far between!

An important limitation is the relative velocity of the dust particles in the cloud. Slow moving particles can collide and stick together, but fast-moving ones would constantly break apart in high-speed collisions. Wada and co calculated that this critical velocity must be less than about 80 meters per second.

source

the mathematics students

crisp, grey mornings

the scratch of pencil on graph paper

working through complex problems just for the joy of it

baroque era piano music playing in the background

a love of patterns and puzzles

writing out your favorite proofs again and again

advanced math courses, sitting with the upperclassmen

the dusty green of an empty chalkboard

formulas scribbled on your hand in pen

going through a problem again and again until you understand it fully

carefully sketched graphs

short, bitten nails

ice cold water

hands marked with graphite

using math to take apart the world around you

doodling fractals on scratch paper

memorizing digits of pi just to show off to your friends

the moment of clarity when a problem fits together

hair clipped back out of your face

looking for fibonacci sequences in nature

watching a long and complicated equation simplify down to something short and compact

Limits