Fibonacci series and Phi in NATURE

 
The Fibonacci series of numbers is at the heart of Nature....

The Fibonacci Sequence is a simple series of numbers:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...

The next number is found by adding up the two numbers before it.
 
  • The 2 is found by adding the two numbers before it (1+1)
  • Similarly, the 3 is found by adding the two numbers before it (1+2),
  • And the 5 is (2+3),
  • and so on!

Example: the next number in the sequence above would be 21+34 = 55
It is that simple!
Here is a longer list:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, ...

If you multiply a fibonacci number by 1.618 you will get the next in the series. This proportion of 1.618 is known as PHI.


I teach this to my classes...everything is in a fibonacci number like 3 or 5...see this apple core?


or this passionflower?


or this shell?


 

 
but wait! sometimes it multiplies in other spirals...how can this be?

 I never understood that...but BBC has explained it using Lucas numbers, the meristem and more.  Watch this if you are a fibonacci fiend like me and if you have drunk your coffee this morning.

It's pace is quite rapid. So take a deep breath and hit 'play' on the image.......it is mind expanding.

 
 
 
 

Comments

  1. AnonymousJune 29, 2012 at 5:37 PM

    Wonderful job as usual! Thanks for being such an inspiration.. there is always something wonderful in your posts!

    ReplyDelete
  2. Jan JohnsenJune 30, 2012 at 7:53 AM

    Thank you for that, Dvngardener! (Divine?)I am trying to share the green love...:-)

    ReplyDelete
  3. tammy sonsJuly 29, 2012 at 8:52 PM

    This is great, to say the least!

    ReplyDelete
  4. Jan JohnsenJuly 30, 2012 at 12:07 AM

    Tammy - You have a great nursery! great website too....I just featured it on the facebook page.

    ReplyDelete

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