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Fibonacci Sequence - here we go again!

wagger

By wagger

40 comments


When you look down on many plants you will see that they grow so that the leaves above don’t hide the lower leaves. This means they all get good sunlight and also collects the most rain funnelling it to the roots. If you count down the stem from one leaf to the next leaf directly below the first one, count the number of times you have gone round the stem in one direction and again in the other direction you will find you have – three consecutive Fibonacci numbers! Approximately ninety per cent of plants follow this pattern.

New growth on a plant is made by a tiny group of cells called the ‘Meristem’ and there is a Meristem at the tip of each branch. As the growing point rises cells further down the stem expand. Also, these cells grow in a spiral fashion, as if the stem turns by an angle and then a new cell appears, turning again and then another new cell is formed and so on. Each leaf on the stem is at a fixed angle so it will least obscure the leaves below and this fixed angle is – guess what? – Phi!!! The Golden Number. This automatically gives the best possible light and rain collection area to each leaf, flowers the best possible exposure to pollinators and seeds the best possible packing – as in the sunflower head.

The Golden Number is also known as the Golden Section or Divine Proportion and has been used throughout history in design, architecture and art even going back as far as the pyramids in Egypt though whether by accident or design is not known. It’s use continues through ancient greek architecture, Renaissance art and continues being used to this day.

The DNA molecule, the program for all life, is based on the golden section. It measures 34 angstroms long by 21 angstroms wide for each full cycle of its double helix spiral, 34 and 21 both being Fibonacci numbers. Just don’t ask me what an angstrom is!!! – very small.

You will also find the Golden Number throughout nature from the human body to all kinds of animals, butterfly markings, sea shells etc. It truly is a magical formula. I don’t think I’ll ever understand it all but will continue to marvel at it and hope I haven’t bored you too much.

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Comments

 

I am trying to follow this? but as some leaves grow opposite each other I lost the plot help?

6 Dec, 2009

 

I think these come in at the beginning of the Fibonacci sequence - 1/2. Elm trees are like that. If you have a look at : http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibnat.html#plants
it explains it better than I can.

6 Dec, 2009

 

Will have a look but smart maths has always been beyond me.

6 Dec, 2009

 

maths smart--- or dim!--- has always been beyond me.....

6 Dec, 2009

 

an angstrom is 1/10,000,000,000 m named afetr the ?swedish? scientist who was one of the pioneering elctronmicroscopists. modern scientists use nanometres [nm] instead.
the dna spirals 10 bases per turn which is 34nm or 340A. but there are 4 dna bases so not quite perfect.:o)

the general term for leaf arrangment to prevent interference is 'leaf mosiac' but many plants can move the leaf blade to maximise the light it catches. Also the chloroplasts in the photosynthesising cells can also move through the cell to get to the best spot to photosynthsise.

I loved this blog wagger thanks.

6 Dec, 2009

 

my head hurts...

6 Dec, 2009

 

yes mine still does too. dont worry i finding lying down in a dark room helps :o))))

6 Dec, 2009

 

That was so interesting. I remembered some of it from my A level botany days.

6 Dec, 2009

 

think i need a couple of headach pills wagger, my brain hurts lol, hope you know what you ment :o)) sounds very clever, then plants are dont you think :o))

6 Dec, 2009

 

We have an engineer on here they are into maths so I wonder will this do his brain in. It would be interesting to see if engineering co insides with all this.

6 Dec, 2009

 

Shall I make a new GoYpedia category for "Brain Ache" ? Lol.

6 Dec, 2009

 

yes me too hywell.

6 Dec, 2009

 

lol. All these comments came in a split second :o)
I enjoyed my A level subjects Seaburngirl .

6 Dec, 2009

 

lol Terra yes plez
im not the best at maths, only basic, what are A levels lol kidding ;o))

6 Dec, 2009

 

What were your other A level subjects, Hywel ?
Maths and Science ?
Cat care ?
Cacti care ?
Art...I bet you did art... you are good at drawing.. Lol.

6 Dec, 2009

 

Yes why not Terratoonie I think yes think!!! it would be a gread Goy pedia. hehe

6 Dec, 2009

 

TT - Botany, Zoology, Geology lol. I've forgotten 99% of it :o)
Maths - I can count to 3. Well I think it's 3 anyway lol

6 Dec, 2009

 

Sandra I thought you would know what A levels are the A stands for Ale and the levels are how many glasses you can drink after this lol

6 Dec, 2009

 

good point sanbaz they are called AS and A2 now. I do wish they would stop fiddling with things.
i did too hywell. well not so much the physics but as the only girl in a class of 24 I had some entertaining times. Maths was a better mix and chemistry too. Biology was my fave though. still is. cant you tell? :o)

6 Dec, 2009

 

lol morgana,, trust you hehehe
yes i do know them as Alevels sea just didnt take any, i didnt care much for school, only art, athletics and history, thats it,:o)

6 Dec, 2009

 

I hated school aswell. Too many bullies - boys, girls, and teachers :o(((

6 Dec, 2009

 

yes i agree there hywel :o((,

6 Dec, 2009

 

I too hated school the only thing good that come from school was touch typing and shorthand, which got me jobs for engineering company then an electrical company, which got me my money for cloths to go dancing and fags.

6 Dec, 2009

 

I HATED the Grammar School....
... loved my junior school...
Just thought I'd add that before I sign off for the evening..Lol.

6 Dec, 2009

 

Good night TT :o)

6 Dec, 2009

 

:o) x

6 Dec, 2009

 

nite Terra x

6 Dec, 2009

 

I enjoyed school most of the time, though did suffer from bullies as i was a little on the tubby side. still am :o)
I am off to bed as soon as 17yr old gets in from a date.

6 Dec, 2009

 

ok, nite sea, sleep well :o)) oh a date,, my son is 17 and has new girlfriend to, what a worry lol

6 Dec, 2009

 

now i know how my mother used to worry. to think i used to laugh at her for it. [in a nice way mind you]

6 Dec, 2009

 

know what you mean, my mum just the same, part of life, they grow up so fast dont they, im off now, im getting tired, hope the date went well ;o))

6 Dec, 2009

 

night night sanbaz

6 Dec, 2009

 

nite sea

6 Dec, 2009

 

Very fascinating bedtime reading, Wagger. Have read these blogs now a few times, and think my head's getting round it all. Many Thanks for this! :-))

6 Dec, 2009

 

Love this blog Wagger. I can't say that I understand it completely but I can see the patterns in the numbers. God must be a mathematician. LOL
I enjoyed school for the most part although I used to be picked on because of my accent. I loved sciences...all of them. Biology was my favourite expanding to pathology, microbiology, anatomy and physiology in college. But there was also chemisty, biochemistry, physics, nuclear physics etc. Loved them. But, I do agree with Morgana....one of the most useful things I learned in school was touch typing....that single thing has helped me land so many jobs.

7 Dec, 2009

 

just found your previous blog re golden number ( I was away ) and now I am just begining to follow the above! absolutly fascinating

7 Dec, 2009

 

I've finally found some time to visit my own blog and what do I find going on behind my back lat at night? LOL. The only thing I really enjoyed at school was sports 'cos I was quite good at it - netball team, hockey team, tennis team. Oh, and biology. When I said I wanted to go int horticulture I was pushed into a bank and evening classes for shorthand and typing.
:-((((
Seaburngirl, your comment made me wonder if something like 'leaf mosaic' was what made flowers follow the sun but found the name for that is 'Phototropism'. There's a good article about that in Wikipedia.
Thanks for the comments, folks

8 Dec, 2009

 

You are so clever and I really tried to understand it but I`m afriad my brain gave up halway through.. I must read it again! :o)

Sandra x

19 Dec, 2009

 

Hi Wagger! There has been something mentioned elsewhere on GOY about sunflower heads following the sun!! Must go find it!!! Many Thanks for this pointer!

Fab blog, must say again, hope you are not run off your feet in the "lead up" to the Big Day!!!1 Seasons Greeetings to you and yours!! :-))

19 Dec, 2009

 

I had to read it all several times to get the hang of it, Sandra - the more I read the more fascinating I found it! If you google it you can find some amazing photographs which show it well, they say a picture is worth a thousand words and in this case it's very true!!! Makes it easier to understand.

19 Dec, 2009

 

I think I remember seeing something, David. If you find it can you put a comment on here so I can revisit it, thanks. I don't run anywhere these days let alone off my feet, lol. The best of the season to you and your family and a Happy New Year.

19 Dec, 2009

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