/sci/ - Science & Math » Thread #10852531

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Anonymous Wed 31 Jul 17:56:44 2019 No.10852531 View Reply Original Report

Quoted By: >>10852590 >>10852591 >>10852595 >>10852599 >>10852618 >>10852702 >>10852714 >>10852759 >>10852922 >>10853148 >>10853157 >>10853395 >>10853440 >>10853634 >>10854312 >>10856230

holy shit...

Anonymous

Anonymous Wed 31 Jul 2019 18:05:26 No.10852554 Report

Quoted By:

there's another way to do this where Pi equals 2

Anonymous

Anonymous Wed 31 Jul 2019 18:14:23 No.10852585 Report

Quoted By:

https://en.wikipedia.org/wiki/Modes_of_convergence_(annotated_index)

Anonymous

Anonymous Wed 31 Jul 2019 18:16:19 No.10852590 Report

Quoted By:

>>10852531
You're approximating the area of the circle by doing that, not the length.
The curve and the circle have the same area but it's clear that they have different lengths.

Anonymous

Anonymous Wed 31 Jul 2019 18:17:13 No.10852591 Report

Quoted By:

>>10852531
Kek

Anonymous

Anonymous Wed 31 Jul 2019 18:17:48 No.10852595 Report

Quoted By: >>10852769

>>10852531
>4!
pi is not 24

Anonymous

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Anonymous Wed 31 Jul 2019 18:20:42 No.10852599 Report

Quoted By:

>>10852531

Anonymous

Anonymous Wed 31 Jul 2019 18:21:49 No.10852605 Report

Quoted By: >>10852607 >>10852609

Okay, so imagine after folding the corners, you draw a straight line starting from where the outline meets the circumference and touches the opposite side of the box. Now you have a shape that has a smaller perimeter than the box, but still larger than the circumference.

Anonymous

Anonymous Wed 31 Jul 2019 18:22:45 No.10852607 Report

Quoted By: >>10852750

>>10852605
>he doesn't know about limits
I feel sorry for you

Anonymous

Anonymous Wed 31 Jul 2019 18:22:56 No.10852609 Report

Quoted By: >>10852750

>>10852605
>and touches the opposite side of the box
What did you mean by this

Anonymous

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Anonymous Wed 31 Jul 2019 18:25:05 No.10852618 Report

Quoted By: >>10852783

>>10852531
distance =/= length

hypotenuse length, $n \rightarrow \infty$

a+b or $\sqrt{a^{2}+b^{2}}$ ?

Anonymous

Anonymous Wed 31 Jul 2019 19:07:41 No.10852702 Report

Quoted By:

>>10852531
That's how engeneers keep steel for home projects.

Anonymous

Anonymous Wed 31 Jul 2019 19:15:17 No.10852714 Report

Quoted By: >>10852761

>>10852531
making the horizontal and vertical stairways infinitely small still doesn't make them a circle. they're still stairways, just infinitely small ones.

this seems related to the infinite coastline paradox.

Anonymous

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Anonymous Wed 31 Jul 2019 19:29:06 No.10852750 Report

Quoted By: >>10852765 >>10852953

>>10852609
Well, draw a diagonal through each of the corners w/o going into the circle . That hypotenuse should have a smaller length than the combined lengths of its perpendicular sides, so the trimmed shape should also fit inside the square perimeter and still contains the circle. I'm pretty stupid, so I don't have a clear explanation for this.

>>10852607
I don't think you need to understand limits to get the point I'm trying to make. How would limits work here?

Anonymous

Anonymous Wed 31 Jul 2019 19:33:05 No.10852759 Report

Quoted By:

>>10852531
Shouldn't the corners cut INTO the circle to mantain an equivalent area?
Do you want pi or the ribbon wrapped around pi?
This is stupid.

Anonymous

Anonymous Wed 31 Jul 2019 19:33:47 No.10852761 Report

Quoted By: >>10852775

>>10852714
>infinitely small ones
so, a circle

Anonymous

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Anonymous Wed 31 Jul 2019 19:35:27 No.10852765 Report

Quoted By: >>10852783

>>10852750
>How would limits work here?
how indeed

Anonymous

Anonymous Wed 31 Jul 2019 19:37:19 No.10852769 Report

Quoted By: >>10854414

>>10852595
HahahahahahHaAha classic STEM joke rofl Cause ! means factorial hahahaha lmao

Anonymous

Anonymous Wed 31 Jul 2019 19:39:52 No.10852775 Report

Quoted By: >>10852785

>>10852761
no, still stair-steps.

Anonymous

Anonymous Wed 31 Jul 2019 19:44:15 No.10852783 Report

Quoted By:

>>10852765
Well, if you need help see

>>10852618

Anonymous

Anonymous Wed 31 Jul 2019 19:45:15 No.10852785 Report

Quoted By: >>10852913 >>10853187

>>10852775
at any finite number, stair-steps.
at infinity, it's perfectly smooth.

Anonymous

Anonymous Wed 31 Jul 2019 20:30:13 No.10852913 Report

Quoted By: >>10852949

>>10852785
only if you're thinking in pixels on a screen. in reality a jaggedy shape stays jaggedy, no matter how tiny you make it, including infinity. infinite detail doesn't transform one shape into another.

Anonymous

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Anonymous Wed 31 Jul 2019 20:33:23 No.10852922 Report

Quoted By:

>>10852531
> taxicab geometry

Anonymous

Anonymous Wed 31 Jul 2019 20:43:23 No.10852949 Report

Quoted By:

>>10852913
whoosh

Anonymous

Anonymous Wed 31 Jul 2019 20:44:20 No.10852953 Report

Quoted By:

>>10852750
Take any pattern like that (with diagonals) and repeat it. You get a number for 'pi' between pi and 4.

Anonymous

Anonymous Wed 31 Jul 2019 21:04:31 No.10853022 Report

Quoted By:

Just because it appears like the result of a sequence, does not make it part of said sequence.

Anonymous

Anonymous Wed 31 Jul 2019 21:45:55 No.10853148 Report

Quoted By:

>>10852531
Pi is a variable, not a constant

Anonymous

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Anonymous Wed 31 Jul 2019 21:49:32 No.10853157 Report

Quoted By: >>10853621 >>10853702 >>10854185 >>10854297 >>10854725

>>10852531
what is the resolution to this paradox? nobody has actually proved it wrong

Anonymous

Anonymous Wed 31 Jul 2019 21:59:06 No.10853187 Report

Quoted By: >>10853389 >>10854389

>>10852785
think relatively.
no matter how much you zoom in, you will still see that the circle is smooth and the box has corners.
circle allows you to zoom in as much as you like, because pi is irrational. at some point you will see the circle like a straight line, but those stairways will always be in that shape, it doesn't matter how much you zoom in, you can't get a smooth stairways, it's not possible. there's always those extra length.

Anonymous

Anonymous Wed 31 Jul 2019 23:13:45 No.10853389 Report

Quoted By:

>>10853187
this. chopping the corners infinitely still gets you a shape with corners, therefore it cant be the same as a circle

KumKum, Kage of Krap & Konstants

KumKum, Kage of Krap & Konstants Wed 31 Jul 2019 23:14:39 No.10853395 Report

Quoted By: >>10853432

>>10852531
A circle doesn't have a length.

Anonymous

Anonymous Wed 31 Jul 2019 23:25:26 No.10853432 Report

Quoted By: >>10853435

>>10853395
Why do namefags always say the stupidest shit

KumKum, Kage of Krap & Konstants

KumKum, Kage of Krap & Konstants Wed 31 Jul 2019 23:27:10 No.10853435 Report

Quoted By: >>10854246

>>10853432
Why do anonymous posters think that their opinion adds to the communal gestalt?

Anonymous

Anonymous Wed 31 Jul 2019 23:30:35 No.10853440 Report

Quoted By: >>10853629

>>10852531
https://www.quora.com/How-does-one-explain-the-pi-4-%E2%80%98proof%E2%80%99-regarding-a-square-reduced-to-a-circle

lol quora > sci

Anonymous

Anonymous Thu 01 Aug 2019 00:45:00 No.10853621 Report

Quoted By:

>>10853157
multiple anons have already proved it wrong, but to state it succinctly: the sequence does not converge to the circle in the C1 topology. Since the definition of arc length involves a derivative, one cannot conclude that the arc length of the limit is the limit of the arc lengths.

Anonymous

Anonymous Thu 01 Aug 2019 00:49:50 No.10853629 Report

Quoted By:

>>10853440
the first answer is mostly a cop out - it doesn't even use the word differentiable

Anonymous

Anonymous Thu 01 Aug 2019 00:51:34 No.10853634 Report

Quoted By:

>>10852531
That will never make a circle.

Anonymous

Anonymous Thu 01 Aug 2019 01:24:41 No.10853702 Report

Quoted By:

>>10853157
>what is the resolution to this paradox? nobody has actually proved it wrong
1) The circumference of the circle is ~3.14. The perimeter of the square is 4. The spaces in between the two shapes have a total area of ~.86.
2) The circumference of the circle is still ~3.14. The perimeter of the folded square is still 4. The new spaces in between the two shapes still have a total area of ~.86.
3) Repeat this as much as you want, but the spaces never lose any area. What happens is you just decrease the space per corner while increasing the number of corners in a way that always preserves the total area of ~.86.

Anonymous

Anonymous Thu 01 Aug 2019 07:01:57 No.10854185 Report

Quoted By:

>>10853157

As you make the corners smaller you change their scale. Smaller scales, smaller measurements. Its a limit problem. The Universe is geometric like this, squares, but its also comprised of scale factors.

Anonymous

Anonymous Thu 01 Aug 2019 07:56:10 No.10854246 Report

Quoted By:

>>10853435
gas yrself fgt

Anonymous

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Anonymous Thu 01 Aug 2019 08:39:12 No.10854297 Report

Quoted By:

>>10853157

Anonymous

Anonymous Thu 01 Aug 2019 08:56:31 No.10854312 Report

Quoted By: >>10854351

>>10852531

Thank you OP for again demonstrating that the concept of infinity is pants on heads retarded.

Although many of the brain dead wipes who frequent this board will not understand your point.

Anonymous

Anonymous Thu 01 Aug 2019 09:18:53 No.10854351 Report

Quoted By: >>10854385 >>10854437

>>10854312
>demonstrating that the concept of infinity is pants on heads retarded

how does it do that?
Infinite removal of corners isn't necessary for the image to retain its meaning, it only needs to be done enough times to look like a circle

Anonymous

Anonymous Thu 01 Aug 2019 09:44:06 No.10854385 Report

Quoted By:

>>10854351

Scale changes. Different scales different measurements. No one figured this out. No one figured out everything. Spend $200,000 at Uni

Anonymous

Anonymous Thu 01 Aug 2019 09:50:03 No.10854389 Report

Quoted By:

>>10853187
>let's pretend finite is infinite

Anonymous

Anonymous Thu 01 Aug 2019 10:16:20 No.10854414 Report

Quoted By:

>>10852769
glad you liked it

Anonymous

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Anonymous Thu 01 Aug 2019 10:34:50 No.10854437 Report

Quoted By:

>>10854351
>Infinite removal of corners
IMO, the wrongness of this pi=4 result is most concisely demonstrated by calling it "infinite multiplying of corners." A circle doesn't have any corners.

Anonymous

Anonymous Thu 01 Aug 2019 14:03:01 No.10854725 Report

Quoted By:

>>10853157
"circles", as in a series of infinite points which are equidistant from a single point don't exist in the first place.

Anonymous

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Anonymous Fri 02 Aug 2019 01:48:57 No.10856222 Report

Quoted By:

Circle of diameter D
>D = 1m
outside the circle is tangent a single SQUARE of side L
>L = 1m
The RATIO perimeter/length is PI (no dimensional units: [meter/meter]= [1])
PI=P/D=[4 m]/[1 m]= 4 (no units)

>PI=4
I MADE IT
Now you make the pentagon

Anonymous

Anonymous Fri 02 Aug 2019 01:53:21 No.10856230 Report

Quoted By:

>>10852531
>table = 4
I don't get it

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