Well, that was fun to watch, but I was really getting annoyed with her voice. A nice version of my thoughts would be "someone please give her something to eat" (hopefully that needs no further explanation)

Because no circle can possibly fill up the space of a shape that is not a circle, there is always some space left (even though it may be too small to see) So technically, there will always be some space left in that finite space to draw circles in, resulting in an infinite amount. It`s similar to the principle of multiplying 1/2 by itself. You can do this an infinite amount of times, and it will never reach zero.

"I dislike how she keeps going on about drawing an infinite number of whatevers (mainly circles) in a, fundamentally, finite space."

So, you`re saying you dislike fractal geometry? While it is certainly true that you`d need a pencil and paper capable of rendering infinitesimal circles (or camels, whatever) in order to literally draw your infinite number (which would, of course, take infinite time), it`s the math that`s important.

(The same lack of infinite precision comes back to bite you when you`re rendering, say, the Mandelbrot set. Eventually, you get to the point where rounding error becomes too significant, at which point the beauty of the fractal turns to mush.)

@HedlesChkn, You should try to measure the length of a circle or something. There are much things infinitive. Pi, e, sin/cos/tan, most fractions. Wich are used to calculate

Now do it with Diamonds and Geodesics on graph paper ;) and so glad she mentioned Sierpinski`s Triangle, before she got to it I was trying to remember the name of it the whole time. You can also fill in each upside down triangle with an infinite number of rightside up triangles. It`s all a matter of perspective really. Anyone ever heard of The Flower of Life and Logarithmic Spirals?

- Another ``doodling in math class`` video.
it`s amazing

I wish I was friend with ol` Abey Link...

And nah, Nerd_Rage, there was a similar video by the same girl, but that one was about snake doodles.

So, you`re saying you dislike fractal geometry? While it is certainly true that you`d need a pencil and paper capable of rendering infinitesimal circles (or camels, whatever) in order to literally draw your infinite number (which would, of course, take infinite time), it`s the math that`s important.

(The same lack of infinite precision comes back to bite you when you`re rendering, say, the Mandelbrot set. Eventually, you get to the point where rounding error becomes too significant, at which point the beauty of the fractal turns to mush.)

The elephant fractal at 3:01 is beautiful!

You should try to measure the length of a circle or something. There are much things infinitive. Pi, e, sin/cos/tan, most fractions. Wich are used to calculate

Levni Yilmaz? If that`s who you`re talking about, she kind of reminded me of him as well.