/sci/ - Science & Math

yes.
Although the perimeter doesn't necessarily converge to one of a circle.

>>6104468
There can't actually be infinite sides, so no
But certainly adding sides brings you closer to a circle

>>6104473
Yes it does, for a n-sided polygon, perimeter is <span class="math">2nRsin(\pi/n)[/spoiler].
sin(x)=x, as x->0, so as n gets large you get:
<span class="math">2nR\pi/n=2R\pi[/spoiler]

Same goes for area using <span class="math">A=0.5nr^2sin(2\pi/n)[/spoiler]

>>6104468

That's only one side, not infinite.

>>6104567
That's two sides. The inside and the outside.

>>6104582
also, the circle has a left and a right side.

>>6104473
>1989
>being this retarded

>>6104491
>>6104586
>not necessarily
you'd expect educated people to know how o read

>>6104650
learn some analysis faggot

the shape in your pic does indeed converge to a circle

however S_n -> S does not imply P(S_n) -> P(S)

where each S_n is the set of points of each polygon, and S the set of points of the circle, and P the perimeter function.

>>6104656
thanks for making the exact point I was trying to make in this post >>6104473

Assburger much?

>>6104660
As I understand OP's pic, in that case it precisely does converge to 2 pi r, so your point is irrelevant.

>aspergers
>not in DSM-5
>so last century

>>6104656
>>6104650

This doesn't converge to a circle, but a diamond.

>>6104650
I'd like to see an L-system that does that

>>6104650
>draw a right triangle
>draw a rectangle around it, semiperimeter = sum of catets
>remove corners, semiperimeter still = sum of catets
>repeat to infinity, hypotenuse = sum of catets
>problem Pythagoras?