Sometimes I wake up from a nap, an’ I’m like #hello #sexual
I don’t normally do this but for some reason I feel the need to say it.
So this what my dumbass looks like when I wake up. #hungry #ijustwanteveryonetothinkimgoodlooking
I’m not saying he’s a genius, but he’s a genius.
Who Honors those we love for the very life we live? Who sends monsters to kill us…and at the same time sings that we’ll never die? Who teaches us what’s real…and how to laugh at lies? Who decides why we live and what we’ll die to defend? Who chains us…and who holds the key that can set us free? It’s you. You have all the weapons you need. Now fight!
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