Fibonacci thread - SCHOOL EXPERIMENT

[lemonadesoda]

=0

The rules of this thread are:

1./ Everybody may enter :)
2./ Calculate the NEXT NUMBER in the fibonacci series and post it :pimp:
3./ No posting of comments in the thread, unless you post the next fibonacci number first
4./ No double postings without someone else posting in-between

If you dont know what the next number is :confused: , go
http://en.wikipedia.org/wiki/Fibonacci_series

By April 1 we will see how far we got, and calculate Phi (golden ratio) using only the last two numbers in the series, go
http://en.wikipedia.org/wiki/Golden_ratio

Thanks for participating! :toast:
__________________________________________________ _________________________
***** Interesting links posted by other members in this thread *****

Very readable introduction to Fibonacci, seen in Nature, used in Architecture: http://www.reeldirectory.com/resumes/pdf0_8.pdf
Karen's Calculator, allowing very high precision calculations: http://www.karenware.com/powertools/ptcalc.asp
Dr Ron Knott's factorisation of the Fibonacci series: http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibtable.html

[lemonadesoda]

=1

Just to get the ball rolling...

[PVTCaboose1337]

1 again.

[JC316]

2

[Solaris17]

3

[Protius]

5

[PVTCaboose1337]

8

[Thermopylae_480]

13

Are we doing your homework for you or something? You know I could calculate this out as many places as you want in less than 30 sec using MS Excel.

[Protius]

twenty-one

[PVTCaboose1337]

34.

[Thermopylae_480]

55

[gamer210]

89

[lemonadesoda]

=144

Thanks for the offer Therm... but that's not the point. It's a maths & philosophy experiment. The study covers a number of elements, (i) accuracy based on IQ of forum members, (ii) speed based on forum intellectual density, (iii) longevity based on forum cooperation and participation.

How quickly and how close we get to golden ratio will indicate the ability of this forum to reach collective cooperative knowledge sharing. By comparing our results with the results from another board, we can draw some interesting conclusions.

Its also for a bit of nonsense!

[Thermopylae_480]

233

Awesome. I'm in!

[lemonadesoda]

=377

Therm! 175? Get your Excel out. LOL :roll:

[PVTCaboose1337]

610.

[Thermopylae_480]

987, caught it. Lol.

[PVTCaboose1337]

1597

Edit: Got a ti-83 prog now I just made... nice

[Thermopylae_480]

2584

The the post whores will love this.

[PVTCaboose1337]

4181. Ti-83+ Go!

[lemonadesoda]

=6765

Sneeky edit @14... not showing.. moderators! LOL

Yes, I think post whores will love it. LOL

[PVTCaboose1337]

10946

[Thermopylae_480]

17711

Got to look smart :cool:

[lemonadesoda]

=46368

IQ going up!

(Ti-83+ not such a fast calculator then? LOL. Thank god for edit. :roll:)

[Thermopylae_480]

Eventually these will have to be hand calculations, or Excel :laugh: .

Oi, to slow.

[PVTCaboose1337]

75025

[lemonadesoda]

= 196418

(edit your posts to correct your miscalcs!!! slow down for gods sake!)

[PVTCaboose1337]

317811

Ti-83+ Ftw!

[lemonadesoda]

= 514229

[PVTCaboose1337]

832040

I can go on a long time.

[lemonadesoda]

= 2,178,309

[PVTCaboose1337]

3,524,578

Ihave missed none..

[lemonadesoda]

= 5,702,887

Go back to the start of this thread. One post, one new fibonacci. See what you have done... you are SO OUT OF SYNC. Are you on mind altering drugs? Get your Excel out. I'm at number #36. Use Excel. Save the world! This is going so wrong... its like an airplane out of control!

[sound effect] EEEEEEEEEOOOOOOOORRRRRRWWWWWWW [/sound effect]

[PVTCaboose1337]

9,227,465

Im in sync...

Which ones have I missed...

[lemonadesoda]

= 14,930,352

Just take a deep breath... go back to the start... follow the sequence... obviously you can't fix other people's mistakes... just fix your own. The others will have to come back and fix it for themselves... if not... THE WHOLE WORLD WILL SEE THEY GOT NOODLES FOR BRAINS!

[PVTCaboose1337]

24,157,817

Im sorry! This is messed up...

Edit: We missed a few... I can't edit. Looks like them kept changing so I had to delete some of my posts...

[lemonadesoda]

= 39,088,169

Why did you delete posts? Now it's all horribly out of sync. :slap:

Obviously the IQ of this forum is going DOWN. :)

[PVTCaboose1337]

63,245,986

Get the mods to fix it. I am ok now right?

O also, this is the 39th term...

[lemonadesoda]

= 102,334,155

I think you deleted 2 or 3 posts. We will only get back in sync if someone puts posts back in the right place! I'm not sure this is possible.

[PVTCaboose1337]

165,580,141

[lemonadesoda]

= 267,914,296

I'll be back tomorrow to check progress. Good luck!

[PVTCaboose1337]

433494437

43rd term.

Nite as well.

[Thermopylae_480]

701108733

[PVTCaboose1337]

1134903170

[Thermopylae_480]

1836011903

[lemonadesoda]

= 2,971,215,073

[gamer210]

4,807,526,976

- for those who need help -
- http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibtable.html -

- i don't think it will go this far, but... -
- http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibtable301.html -

[bruins004]

7,778,742,049

Its not that hard people :toast:

EDIT : W00t I got it first :)

[lemonadesoda]

= 12,586,269,025

Those are interesting links gamer. Thanks!

I think we also need a double or quad precision calculator to calculate our golden ratio. We are already beyond being able to calculate the ratio in Excel. Do you know of any high precision calculators?

[bruins004]

20,365,011,074

[lemonadesoda]

= 32,951,280,099

My research found Karen's high precision calculator http://www.karenware.com/powertools/ptcalc.asp

P.S. She also has lots of other handly utilities. Check out her site.

**** GOLDEN RATIO SO FAR ****

= 20,365,011,074 / 32,951,280,099
= 0.618033988749894848204998714092597535052745872991 ...
...22093508565152632979656308799355455352988106078 2518

[bruins004]

53,316,291,173

[Completely Bonkers]

= 86,267,571,272

This Thread Is Bonkers

[Khriez]

= 139 583 862 445

http://www.reeldirectory.com/resumes/pdf0_8.pdf

[lemonadesoda]

= 225,851,433,717

That's a great PDF Khriez. Thanks for the link! :)

[ex_reven]

365 435 296 162

[Alec§taar]

You guys ought to write up a small program in VB, Delphi, or C/C++ to calc this for you...

(After all: It'd be able to do that up to 4 billion places or near to it, once you translate the equation from "human math" into "computer math")

EDIT PART - Just noticed you guys are past 4 billion, from a quick skim of the last page results... Well, so much for 4gb limit, right?

(Well, after that, you can use exponentiation/scientific notation iirc, to go past that - OR run it on a 64-bit rig + OS!)

:)

* Just a thought...

APK

P.S.=> It's what computers are good for, after all, automating tasks like this one & more... apk

[lemonadesoda]

= 591,286,729,879

Alec... your post breaks the rules. You should post the next Fibonacci before you comment. :shadedshu

Excel is getting very close to running out of being able to calculate the next Fibonacci in the series. It has already run out of precision for calculating the Golden Ratio. So IF YOU ARE OFFERING to write a program that will calculate the next Fibonacci AND the corresponding Golden Ratio, we would be delighted :)

But I think you would be spending a lot of time looking for code to help you with the extremely high precision (unlimited precision) computation. It would be a very good exercise for you :) I would admire your coding skills if you were successful.

[ex_reven]

956 722 026 041

[Alec§taar]

= 591,286,729,879

Alec... your post breaks the rules. You should post the next Fibonacci before you comment. :shadedshu

Yea, it probably does... my bad, I just read the title & posted, admittedly.

Sorry bout that fellas!

* Nope, I'm not going to write any programs for you, I was just offering something that might help you 'get into it' yourselves...

Now, I see you are using Excel though: smart move!

Except iirc, many versions of Excel are 16-bit limited/crippled, & doesn't HAVE TO BE!

I am talking full Excel, not student models.

(Not for EVERYTHING, but for instance, having only so many rows possible in its .xls sheets for example... that's how MS gets folks to buy are MORE POWERFUL TOOL, in Access, quite often - it makes companies buy the "premium/best" model of Office in fact!)

But I think you would be spending a lot of time looking for code to help you with the extremely high precision (unlimited precision) computation. It would be a very good exercise for you :) I would admire your coding skills if you were successful.

Ah, honestly? I don't have the time, or inclination... I used to do stuff like this on forums for programming students, but many times ended up doing their homework for them (not always, but most)...

I have a few folks here that have asked me stuff via PM about coding, & to look @ their code etc. but it's BEST to do it yourself...

However, I do & have give(n) clues on where I THINK the problem is, but often recommend them learning how to do step tracing & watch windows (for debugging - best thing you can learn is this, while coding, imo @ least).

APK

[ex_reven]

1 548 008 755 920

[Completely Bonkers]

2 504 730 781 961

http://www.digitalmarketing1.com/Images/pdf/A%20Golden%20Rule.pdf

http://www.analistademercado.com.br/Fibonacci01.pdf

http://www.structuremag.org/archives/2007/January%202007/p13-15C-Out-BoxJan07.pdf

[ex_reven]

4 052 739 537 881

[Completely Bonkers]

= 6,557,470,319,842

Of interest to stamp collectors:

http://www.fh-friedberg.de/users/boergens/marken/beispiele/goldenerschnitt.htm

http://www.fh-friedberg.de/users/boergens/marken/briefmarke_01_02.htm

[lemonadesoda]

= 10,610,209,857,723

These numbers are getting pretty big. When will we know we have arrived? Does anything in nature (that follows the fibonacci sequence) actually get THIS BIG?

[tkpenalty]

= 10,610,209,857,723

These numbers are getting pretty big. When will we know we have arrived? Does anything in nature (that follows the fibonacci sequence) actually get THIS BIG?

Yes, RAM. First you got 1b, 2b, 4b, 8b, 16b, 32b, 64b, 128b, 256b, 512b, 1kb, 2kb, 4kb, 8kb, 16kb, 32kb, 64kb, 128kb, 256kb, 512kb, 1MB, 2MB, 4MB, 8MB, 16MB, 32MB, 64MB, 128MB, 256MB, 512MB, 1GB, 2GB, 4GB, 8GB and so on.

With RAM its more regular, but with something like the fibonacci.. you need hundreds of calculations until you get a repeating pattern. It will happen but like around one septilion or something.

EDIT: 4GB of ram = 4000,000,000bytes, eventually we will get as much as the value you stated.

[Completely Bonkers]

F(n+1):= 17,167,680,177,565