jrandahlm:

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


MATH IS FUN

jrandahlm:

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

MATH IS FUN

Source: 1ucasvb

justinrampage:

An Illustrated Anatomical Guide To Popular Monsters by Brad McGinty

Animator, illustrator and comic book artist Brad McGinty has created an excellent illustrated anatomical series of popular film monsters, which were inspired by the 1967 book titled An Anatomical Guide to Monsters by writer Shoji Otomo and illustrator Shogo Endo.

Prints and shirts are currently available to purchase at Brad’s online shop.

Anatomical Illustrations by Brad McGinty (Tumblr) (Dribble) (Twitter)

via XombieDIRGE | Laughing Squid

Source: xombiedirge

NBD, JUST IF POKEMON WERE DINOS

"If, in some cataclysm, all of scientific knowledge were to be destroyed, and only one sentence passed on to the next generation of creatures, what statement would contain the most information in the fewest words? I believe it is the atomic hypothesis that all things are made of atoms — little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another. In that one sentence, you will see, there is an enormous amount of information about the world, if just a little imagination and thinking are applied."

-

Richard Feynman, his answer to the one sentence to be passed on to the next generation.

(via Brain Pickings)

(via jtotheizzoe)

Source: brainpickings.org

jtotheizzoe:

toffany:

fibonacci nacho

The golden cheese ratio.

jtotheizzoe:

toffany:

fibonacci nacho

The golden cheese ratio.

Source: toffany

Text

When I heard the learn’d astronomer;

When the proofs, the figures, were ranged in columns before me;

When I was shown the charts and the diagrams, to add, divide, and measure them;

When I, sitting, heard the astronomer, where he lectured with much applause in the lecture-room,

How soon, unaccountable, I became tired and sick;

Till rising and gliding out, I wander’d off by myself,

In the mystical moist night-air, and from time to time,

Look’d up in perfect silence at the stars.

- Walt Whitman

jtotheizzoe:

commie-pinko-liberal:

Neil deGrasse Tyson on how unrepresentative our representatives are

Tyson/Hanson 2020

Source: commie-pinko-liberal

(via tyleroakley)

Source: videohall

Movie of floating flame space balls

Space is fucking awesome

No big deal, just FLOATING FLAME BALLS IN SPACE