Click the link. Just go on and click it...You will NOT be sorry, I guarantee it.

[CaliforniaPeggy]

http://www.wimp.com/fibonaccisequence/

[RKP5637]

1. +++ 1,000,000 +++ n/t

[MisterP]

2. bbbut it's from the Middle Ages!

[Squinch]

3. Beautiful!

And such a happy thing. I don't know why, but it is.

[spanone]

4. k&r...

[csziggy]

5. Thank you so much for posting this - it is a beautiful interlude

I needed that.

[CaliforniaPeggy]

6. You're so very welcome, my dear csziggy.............I needed it too.

[Lochloosa]

7. Thank You. Nothing more to be said.

[Kablooie]

8. So God knows his mathematics. Not surprising since he invented math in the first place.

I'm playing Fundamental Christian devil's advocate here.
They need a good advocate of the devil to get their point across.

Cool film though.

[Volaris]

23. Playing Devil's Advocate in this case might not be quite as devilish (or heretical) as you may think

It seems inevitable that a certian contingent among the Human species will always have a need, and see a usefulness for, Faith (as opposed to organised Religion, which is a different animal altogether). Since that is the reality the rest of us face, it may be in our best interest to adapt arguments that embrace the BEST qualities of thier Faith, rather than trying to argue them to a position of faithless-NESS, which I'm not convinced can actually be done.

In that vein, any description of a Godhead that doesn't meet the functional definition of "All-Knowing", isn't REALLY a Godhead, and is therefore incomplete, and the worship of such an incompleteness is considered by many Faith Traditions to be a form of outright Blasphemy.

If your God isn't smart enough to understand that Biology is simply an emergent form of CHEMISTRY, what you're worshiping isn't really God, but rather, an external projection of you OWN lack of understanding.

Just an obsevation, and (I've found) a quite useful one.

Peace, because Dexter is on=)

[Kablooie]

28. Not to put too fine a point on it Breaking Bad overlaps Dexter. A terrible calamity.

And both are going into their last season.
Things like this drive me into piracy.

[Volaris]

41. Well, there's your problem right there...

we don't call it piracy. we call it "on demand" vewing=).

[loudsue]

37. Good post.

Thank you.

[Lionel Mandrake]

34. I don't see it that way.

Math would be the same with or without a god. Math can be discovered, but not invented. Even if there were an omnipotent being, he, she, or it could not create a world where 1 + 1 = 3. That's because the truths of mathematics are timeless and universal.

If horses had gods, their gods would look like horses. But horses are sensible animals; they are not afflicted by religion or other superstitions.

[Volaris]

42. Thats just it though...for the Faithful, it sure as hell IS possible

for there to be a God-created Universe where 1+1=3. That the Universe is the way it it IS, can only mean that it's the universe as "God" WANTS it to be, evolution and all. This conclusion allows people of honest Faith to function scientifically from the same playbook as all of the worlds Atheists, Agnostics, and non-Christians, which is a pretty decent place to be if you like Science, Tehchology, and the advancement of civilation and culture that comes along with those things.

You're right about Horses and Gods. That Humans are rather limited in our natural understnading of Nature, is why a lot of our Gods seem to be too. Science expands our understanding of nature, and, if you can allow for the possibility, helps us envision better, more accurate, more Enlightened forms of what a Universal Creator-God can be, even if you yourself (and, for the most part, me) don't believe such Fairy Tales.

[Lionel Mandrake]

46. In no conceivable universe can a false statement be true.

The most you can reasonably assert is that some otherwise intelligent organisms might believe that 1+1=3.

Such organisms would never develop a civilization.

[Stargazer09]

9. Thank you!

I have a child with a stomach virus tonight, and I really needed something beautiful to help clear my mind.

[CaliforniaPeggy]

10. I'm so glad I could help!

I hope your child will very soon be healed...

[Stargazer09]

13. I hope so, too

He's such a sweetheart, and I know he didn't mean to make such a mess (he's 9, but he's not neurotypical). I'm going to show him the video tomorrow, because I think he will enjoy it.

Again, thank you.

[panader0]

11. Cool-- I almost had a flashback.

[ms liberty]

12. You're one of the few DU'ers who can say that without a blurb about the subject...

I'm glad it was you, I might have missed it had a different member posted it, and that would have been a shame. So beautiful! Thank you, CP!

[Matariki]

19. +1

[CaliforniaPeggy]

24. Aw, thank you, my dear ms liberty...

You cannot know how much I appreciate your kind remarks...

[Rex]

14. The golden spiral.

http://en.wikipedia.org/wiki/Golden_spiral

Beautiful graphics, never seen it drawn so wonderfully as that video. Thanks!

[alfredo]

29. Artist have long drawn on the golden mean/spiral/ratio.

[Scuba]

50. Wonderful examples, thanks for posting them alfredo.

[alfredo]

57. Thanks. My high school art classes paid off.

[NutmegYankee]

31. And led right into the golden angle

http://en.wikipedia.org/wiki/Golden_angle

Just awesome!

[Cali_Democrat]

15. Cool

[love_katz]

16. Thank you CP.

Beautiful film.

I LOVE NATURE!!!!

[Lifelong Protester]

17. I know I'm supposed to be learning something, but is it ok

just to say it's pretty??

[CaliforniaPeggy]

25. Of course it's OK!

I'm not mathematically inclined either, although right now I wish I were...

It is very pretty!

[starroute]

18. As you might guess from my avatar, this one touched me where I live

Really good stuff.

[CaliforniaPeggy]

27. I am really glad it did that for you...Your avatar is beautiful!

[johnnyreb]

20. It is such a privilege to experience that.

Thanks CaliforniaPeggy.

[MrMickeysMom]

21. WE are all the same, my dear Peggy

That's what it means to me... The message is always beautiful, and humbling...

[Tx4obama]

22. Anyone else see the numbers and think of ''LOST'' ? :)

[Bette Noir]

26. You were right. It's beautiful.

[Mr_Jefferson_24]

30. Elegant and beautiful--thanks for posting.

[2naSalit]

32. Isn't nature amazingly beautiful?

Thanks, I needed that.

[NYC_SKP]

33. +0.6180339!

Ask any math geek!

[mick063]

35. 1.618034

Someone confirm this for me.

I have heard that if you put two sheep on an island, none died from attrition, and all were born fertile, the population growth would be by the ratio of 1.618034.

[NYC_SKP]

36. I have never heard that claim.

I only know that in the seventies, I derived that figure using a calculator.

I know of the golden section diagram, the golden proportion, but not the values involved.

So I set our to solve by trial and error the number that would satisfy "x" in the equation below:

1/x = x+1

.6180339 comes close, and is called "phi"/

1/.6180339 = 1.6180339

The sheep, I don't know about that but let me know if you find out!

[eppur_se_muova]

54. Only as the numbers increase to infinity ... (this story was originally told about rabbits, FWIW)

If you take the ratio of two successive Fibos, you get ...

1/1 = 1
2/1 = 2
3/2 = 1.5
5/3 = 1.6666
8/5 = 1.6
13/8 = 1.625
21/13 = 1.6154
...

These form successive approximations to ? from above and below.
Start from any two numbers in place of 1 and 1 and you get the same result !
To calculate the nth Fibo quickly just calculate ?ⁿ, divide by √5, and round to the nearest integer (Binet's formula). ?ⁿ itself rounds to the nearest Lucas number.

http://en.wikipedia.org/wiki/Fibonacci_number

[Lionel Mandrake]

39. When I input N[2/(Sqrt[5] + 1), 20] into the program Mathematica,

the output is 0.618033988749894848, which is accurate to 20 decimal places. The actual golden ratio and its inverse are irrational numbers; their decimal expansions go on forever without falling into repetitive patterns.

On the other hand, when i input 0.6180339!, the output is 0.895673. To a math geek, "!" means factorial (which is generalized via the Gamma function).

[mick063]

45. the ratio

0+1 =1
1+1=2
2+1=3
3+2=5
5+3=8
8+5=13
13+8=21
21+13=34
34+21=55
55+34=89


89 divided by 55= 1.618181818

[lpbk2713]

38. Bookmarked ... thanks Peg

I'll visit this site often.

[CaliforniaPeggy]

40. My dear lpbk2713!

Every time I watch it, I start to cry...

It is that beautiful.

We need truly beautiful things like this.....it's so easy to become brutalized in our daily lives...

[defacto7]

43. a very lovely depiction of math, space, geometry, beauty and life...

all connected in a natural web that is reality. Just connect the numbers!

[freshwest]

44. VIDEO from youtube (I always have trouble with other players) so this is how I saw it:

Absolutely beautiful, uplifting and enlightening.

Thanks, CP!!

[CaliforniaPeggy]

47. Thank you SO MUCH, my dear freshwest...

Because YouTube allows the big screen view, I saw it that way, and WOW. Overwhelmingly beautiful.

I just never get tired of seeing this; I wish it were 10 minutes long.

[freshwest]

49. You're welcome. You can download it and loop it and it'll go as long as you want. The music is great

I wish youtube would allow looping but if they did they'd break their servers. They have wonderful music with many amateur slideshows there. I would have never heard or purchased from iTunes or Amazon without hearing them first at youtube from the community there.

Whenever you want that full screen aspect, put the name of the video into the youtube search bar and most likely, it will already be there.

I spent a lot of time there until they made me switch to a gmail account and it fouled up my regular email and now I can't log in anymore. I miss my friends from around the world there, much more positive than DU most days.

I'm going to check another ISP to save money and see if I'll stay on broadband or not, maybe I can set up a new account, IDK but all the new formats mess with my iMac.

[SwissTony]

48. Brilliant, CP. Thank you. If we had a mathematicians group on DU,

I'd nominate you for entry. You'd have to say "maths" instead of "math" unless pokerfan beats me for the presidency.

[Liberal_in_LA]

51. k&r

[bvar22]

52. Elegant and Inspiring!

Thanks.
DURec

[HarveyDarkey]

53. Normally I don't click on links with no explanation...

But since it's you CP, the nicest person on DU, I did. You're right, I wasn't sorry. Thank you lady.

[malaise]

55. Magnificent

Thank you CaliforniaPeggy

[MarianJack]

56. As we said in the 60s,...

...GROOOOVY!

PEACE!