1ucasvb:

The familiar trigonometric functions can be geometrically derived from a circle. But what if, instead of the circle, we used a regular polygon? In this animation, we see what the “polygonal sine” looks like for the square and the hexagon. The polygon is such that the inscribed circle has radius 1. (There’s a very neat reason for this.) Since these polygons are not perfectly symmetrical like the circle, the function will depend on the orientation of the polygon. More on this subject and derivations of the functions can be found in this other post
Now you can also listen to what these waves sound like
This technique is general for any polar curve. Here’s a heart’s sine function, for instance

1ucasvb:

The familiar trigonometric functions can be geometrically derived from a circle. But what if, instead of the circle, we used a regular polygon? In this animation, we see what the “polygonal sine” looks like for the square and the hexagon. The polygon is such that the inscribed circle has radius 1. (There’s a very neat reason for this.) Since these polygons are not perfectly symmetrical like the circle, the function will depend on the orientation of the polygon. More on this subject and derivations of the functions can be found in this other post

Now you can also listen to what these waves sound like

This technique is general for any polar curve. Here’s a heart’s sine function, for instance

@2 months ago with 152846 notes

thedarkhare:

A Modern Hair Study by Tara Bogart

(via qualiteas)

@3 months ago with 24482 notes

sandwichpress:

Eastern Bloc Cartoons: Krtek/Krteček (The Mole/Little Mole)

[x]

“Krtek was first to be seen in 1956 in Prague, when Zdeněk Miler wanted to create a children’s cartoon about how flax is processed. Miler wanted the cartoon to be understood in every country of the world, so he decided to use his daughters as voice actors, reducing the speech to short non-figurative exclamations in order to express the mole’s feelings and world perception. They also became the bottleneck of the creation process as they were the ones who got to see the whole film first, thus Miler was able to decide whether the message of the movie was able to get to children or not.”

(via qualiteas)

@4 months ago with 183 notes
one day history of coffee drinking

one day history of coffee drinking

@4 months ago
#mine 
misscoconut:

Another unofficial Nerd Girl Problem.

this is a serious problem!!!

misscoconut:

Another unofficial Nerd Girl Problem.

this is a serious problem!!!

@4 months ago with 19 notes
12.12.12!!!!
Happy Birthday To Me!!!!
Yeah!!!

12.12.12!!!!

Happy Birthday To Me!!!!

Yeah!!!

@5 months ago with 5 notes
#my birthday #12.12.12 #yeah!! 
theatlantic:

The Best Photos of 2012

A man walks inside of the crumbling oval skeleton of the House of the Bulgarian Communist Party on mount Buzludzha in central Bulgaria on March 14, 2012.
[Image: Dimitar Dilkoff/AFP/Getty Images]

We’re not the only ones who think this was pulled straight out of Close Encounters of the Third Kind, right?

theatlantic:

The Best Photos of 2012

A man walks inside of the crumbling oval skeleton of the House of the Bulgarian Communist Party on mount Buzludzha in central Bulgaria on March 14, 2012.

[Image: Dimitar Dilkoff/AFP/Getty Images]

We’re not the only ones who think this was pulled straight out of Close Encounters of the Third Kind, right?

@5 months ago with 15995 notes

Wj313 (China) - 【王国大逆袭】ST

[more Wj313 | artist found at artcollageleivos]

(Source: artchipel, via fassbenders)

@6 months ago with 38882 notes
minor-arcana:

Steven Morgana,
Beauty is in the Eye of the Collective, 2011

minor-arcana:

Steven Morgana,

Beauty is in the Eye of the Collective, 2011

@2 months ago with 17422 notes

aarontviets:

DOES ANYONE KNOW HOW OLD GEORGE BLAGDEN IS

THIS IS IMPORTANT

dec.28 1989 is his birthday. i googled

@4 months ago with 2 notes
brookdalemusic:

Russian Musical Art: Full Size Here: http://peopletoo.ru/2010/notlist2/index.html
@4 months ago with 170 notes

(Source: sciencefiction)

@4 months ago with 3397 notes

My first After Effect Project!

A PSA of Stop Smoking

@5 months ago

Happy Birthday to me! I turn 27 today.

acrossthetracks:

image

—————- I turn 28 today!!! Happy birthday to me!!! 12.12.12 @5 months ago with 5 notes
triangles doodle

triangles doodle

@5 months ago
#mine