# The Mind-Blowing Mathematics of Sunflowers – Instant Egghead #59

How fast does a colony of rabbits grow,

assuming they breed like rabbits? If mature rabbits produce

a new litter every month, first you’ll have just the one pair… …then two, then three, and then 5 pair as the offspring start

having litters of their own. Soon the colony is growing fast. Eight, thirteen, twenty-one, thirty-four,

and then fifty-five pairs of rabbits. These are the numbers

of the Fibonacci Sequence Named after 13th Century Italian mathematician Leonardo of Pisa

(better known as Fibonacci). He introduced the rabbit problem

about 800 years ago. The sum of two consecutive numbers

in the Fibonacci Sequence gives you the next number. Of course, real rabbits

don’t breed so predictably. But surprisingly, the Fibonacci Sequence

is common in nature. Look at the head of the sunflower.

It typically contains two types of spirals. Thirty-four spirals in one direction

and fifty-five in the other. 34 and 55 appear back to back

in the Fibonacci Sequence. Some sunflowers have even larger

Fibonacci numbers, such as 89 and 144. Pine cones often display similar patterns

with 8 and 13 spirals. Again, consecutive Fibonacci numbers. This can’t be coincidence.

And in fact, there is more math at play. For growing sunflower, it’s beneficial

to push out each new floret as far as possible

from the existing florets. That gives each floret

the most space to grow. Studies have shown that

under many growth conditions each floret should emerge

at an angle 137.5 degrees from the one that came before. Amazingly, 137.5 degrees is a well-known

angle called, “The Golden Angle”. It’s famous for being derived from a number

called the Golden Ratio or Phi. The Golden Ratio is closely related

to the Fibonacci Sequence. Take any number in the sequence, divide it

by the one that came before, and voila! A good approximation of the Golden Ratio. So the Golden Angle produces

the most efficient use of the sunflowers limited space. And the relationship between

the Golden Angle, the Golden Ratio, and the Fibonacci Sequence

is what causes the sunflower spirals to appear in numbers

straight out of Fibonacci. As beautiful as the sunflower is, isn’t even lovelier knowing there is

a deep mathematical order to it? For Scientific American’s

Instant Egghead, I’m John Matson.

yes this canot be a coinsidance, so there's only one creator

my sunflowers won't be looked at the same way again:-)

omg we just went over this in geometry smh

Hm. That "rabbit" problem doesn't even take into consideration predation of the rabbits…

Praise Lord that he has embedded his intelligence in designing His creation so that we can find Him through his works

Yet its amazing that all this happened spontaneously.

wow….such….mind….blown……not…so…much…

Fantastic! I love this.

Excellent !

A house with perfectly placed bricks must have been evolved… seems legit.

Ouir sunflowers have hit 10+ft and continue to grow. Always facinated with the patterns of the head of the sunflowers. Thanks for the excellent video!

sweet, and now you know what makes a free energy device work, its inherient in nature to want to spin, just nature takes her time when its shown in growing life forms. ,no? not a tornado though, so what makes this free energy device spin all on its own and whats inside it generating the electrical energy for you to use.

This is all bullshit, read the holy Bible. It explains all!

Guess what… Nobody gives a crap.

Intelligent design

I love Sunflowers…… What you just showed me is the mathematical formula to solid happiness

1337

loved the boiiiiiii whats dat song do it lit brah

Thanks for the vid. It saved me from probably getting a bad grade Lol

whatever you do don't plant perennial sunflowers they will takeover your backyard and have of your neighbors

Stop saying i look like chicken little

DYLAN EEEEEEEEEEEEEEEEEE

What is one benefit of sunflower research found in this video?

Who's here because of school 🙄

stupid

you need a horse to perform the perfect rotation

Just amazing!

Good job !

So what studies determined this degree of 137.5? Sunflower studies? Would the number be different with a different type of plant?