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

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

    ReplyDelete
  3. This is great, to say the least!

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

    ReplyDelete

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