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# 363

New Year's Resolutions 2011 - January 1, 2011
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Nice! Finally a comic I understand. And Pie does not equal 22/7 because that would be 3.14285 and you taught me that pie is equal to 3.14159....

Pie is actually closer to 8.5397342…, but I don't know what that has to do with the comic.

1. [[1,2,3,4,5,6,7,8,9,10,11,12]
[2,4,6,8,10,12,14,16,18,20,22,24]
[3,6,9,12,15,18,21,24,27,30,33,36]
[4,8,12,16,20,24,2832,36,40,44,48]
[5,10,15,20,25,30,35,40,45,50,55,60]
[6,12,18,24,30,36,42,48,54,60,66,72]
[7,14,21,28,35,42,49,56,63,70,77,84]
[8,16,24,32,40,48,56,72,80,88,96]
[9,18,27,36,45,54,63,72,81,90,99,108]
[10,20,30,40,50,60,70,80,90,100,110,120]
[11,22,33,44,55,66,77,88,99,110,121,132]
[12,24,36,48,50,72,84,96,108,120,132,144]]
2. Still in high school, still using my beloved TI-84 silver edition plus.
3. aren't they used for navigation purposes? you might not want to draw half circles on your map just to calculate distances...
4. always do.
5. are you saying pi=/=22/7????

5. 3.14159265357979323846264338327950288...
6. am I worthy of love yet?

8*8=64
12*5=60
sorry, typos

5. It's actually:
3.14159265358979...
3.14159265357979...
Is what you wrote.
Spot the difference.

358979, yes, i know... also a typo, sorry :(

5. It's actually:
3.14159265358979...
3.14159265357979...
Is what you wrote.
Spot the difference.

Wait, pie = crust + filling, no?

22 parts of filling : 7 parts of paste, to be precise

The comic is brilliant as ever. The comments however have been getting lamer

22/7? If I'm gonna use an approximation for pi I'll go with 355/113

not to talk about the people that use pi=3 *cought*Astronomers*cough*

"355/113 -- Not the famous irrational number PI, but an incredible simulation.". I loved this one in linux fortunes. :D

the bible also says that pi = 3, "And he Hiram made a molten sea, ten cubits from the one rim to the other it was round all about, and...a line of thirty cubits did compass it round about....And it was an hand breadth thick...." — First Kings chapter 7, verses 23 and 26

The Bible says it's round... not perfectly circular

I guess your right, never mind.

I think the author of I Kings (the Deuteronomist?) was thinking of a circle, and approximating. However, an ellipse with major axis 10 and minor axis 9.09 would have a circumference close to 30. That's a ratio of 10:11. I guess some would call that "round".

There's no closed-form expression for elliptical circumferences; I'm using Ramanujan's approximation: pi*(3*(a+b)-sqrt((3*a+b)(a+3*b))).

Close enough that more than one legislature introduced bills that tried to make pi = 3, IIRC.

I'm afraid that's an urban legend. (See: http://www.snopes.com/religion/pi.asp) It started with various joke versions of the idea, satirizing creationism. On the other hand, creationists are not a legend.

I had heard this back in the '70s or so--so it was probably the Indiana attempt in 1897 that was being referenced...

I had an argument with my 5th grade teacher because she thought pi equaled 22/7.

A pie is actually = 1.59 in India when converted to \$

666/212
I discovered this by myself (as in, i didn't found it on the internet but i'm sure it exists already and that a lot of you already know about it)

Wouldn't that be 333/106?
Is that closer than 355/113?

666 looks cooler...
3/1 = 3
22/7 = 3.14
333/106 = 3.1415
355/113 = 3.141592
Man, finding the next one is really frustrating.
The closest i've gotten is 644/255 and that's not even close
I'm using both my trusty calculator and wolfram and i'm not getting anywhere yet

The denominator of the next better rational approximation is >30000 (I have it somewhere, need to look it up).

My source suggests 103993/33102. This is the next in line (after 355/113) of "best approximations of 2nd kind". The actual definition is that a rational number a/b is a best approximation of 2nd kind to a real number x, if |bx-a| < |dx-c| for any "rival rational approximation" d/c such that d <b. This is a stronger requirement than simply asking that the approximation error is smaller than the error gotten with any smaller denominator.
Best approximations of this kind are obtained from certain continued fraction expansions of x.

It hurts but it's true. My 7th grade algebra teacher tried to convince us all that 22/7 eventually equals pi. FML

that should be: 223/71 < π < 22/7.

Assuming that one has gotten over the fact that people try to rationalize pi one has to deal with certain facts.
Ex:
There are engineers!

So Pi might be handled as 3.1415 (perhaps a mechanical engineer)
or even 3.14 (likely one electronic engineer perhaps)
but then there are those like the civil engineers that treat pi as being 3

...

or 4

I don't think any mathematician here is challenging the usefulness of estimating a rational approximation of pi, just that there is a clear discrimination between approximation and equivalence. Of course engineers have to use fractional approximations sometimes. But a rational approximation does not an equivalency make.

Hey! Not all Civil Eng's use 4 to "approximate" pi, 4 is EQUIVALENT to pi, period.

Actually you still need to use relatively precise "magic numbers" when doing things like geodetic surveying, especially if you're legally liable.

1. lol 19x19 is way useful
2. What do you do with M+,M-,M anyway? What's 4/5 on the left side?
3. To see if the 2 line has same length?
4. 2
5. No way! I rather listen to pi songs

But is you use 22/7, you can use your Amazing Remainder-of-7 Wheel!

Does anyone know what the compass with two spikes is for?

read comment below. meant as reply. :( I think I DO need one so my comments will get where I want them :(

To trisect an angle, of course!

I remember using one of those thingies to draw a perpendicular bisector to a line. It was so long ago, and I don't remember why I did it. Probably homework.

do I need one to navigate through the internet??

Only if the points are virtual...

3,1415926 = 10000000000/3183098916 read an weap ^_^

That third one actually has been bugging me.

wht is 2^2011+3^2011

quick calculation made result of 7,5941302044839... x 10^-355

forgive me saw that plus sign as divide sign
so the correct calculation is
2,3513716639... x 10^605 + 3,0963014862... x 10^959
and the ansver is
3,0963014862... x 10^959
(3^2011 is so much bigger number that the 2^2011 doesnt make much difference)

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