00:00:06:21    Today on Maths is Fun, I want to talk about the Fibonacci numbers.

00:00:11:10    You probably remember these from school, but if not, here’s a quick refresher.

00:00:16:09    So it’s just a sequence of numbers that is derived from adding the last

00:00:21:05    two numbers in a sequence together to get your new number.

00:00:24:06    How does that work? So start off with the number one, the last two numbers,

00:00:28:19    what was only one, we have that together, we get one.

00:00:30:21    Now we have two numbers one and one is two.

00:00:33:04    If we add the last two numbers together, two and one, we get three,

00:00:37:23    if we add the last two numbers together, three and two, we get five,

00:00:41:19    five, and three is eight, eight, and five is 13. 13, and eight is 21.

00:00:50:06    And so on and so forth.

00:00:52:06    You can keep going as long as you like, really.

00:00:56:06    So that’s the Fibonacci sequence.

00:00:57:17     But what’s really cool about it is that it appears

00:01:01:24    everywhere in the natural world, it’s really quite astounding.

00:01:06:06    So, for example, the way X chromosomes are handed down through

00:01:14:09    through our parents, and grandparents and great grandparents,

00:01:17:11    is in exact replica of the Fibonacci sequence.

00:01:22:21    The way that honeybees recreate is also in the same sequence of Fibonacci numbers.

00:01:32:10    You also can see it illustrated in rabbits all sorts of things.

00:01:36:13    We also see it in the natural world. In terms of flowers,

00:01:42:20    the way that our sunflower arranges its petals is in line with the Fibonacci sequence.

00:01:47:09    And other flowers and plants will grow the same way as well.

00:01:51:20    You can see it in this really, really cool Ammonite fossil

00:01:57:23    is the Fibonacci sequence at work in nature.

00:02:01:20    And you can also see it in a spiral galaxy in the same sequence, the same pattern is applied.

00:02:10:22     So you can also see in our, in our DNA, for example,

00:02:16:13     that the ratio of the height and width of our DNA is,

00:02:21:01    is the golden sequence. So from the smallest thing in our,

00:02:25:24    in our universe, which is perhaps our DNA,

00:02:29:00    right up to the largest thing in our observable universe,

00:02:31:22    a spiral galaxy all adhere to these same rules, which is pretty cool.

00:02:36:04    The other thing about the Fibonacci sequence is if you draw it out,

00:02:40:14    you get a really cool spiral pattern.

00:02:45:08    So we start off with one box,

00:02:58:10    and another one box.

00:03:00:01    And now a box that’s twice the size as the two

00:03:04:24    and now a box that is three.

00:03:09:20    And now a box that is five.

00:03:13:04    And now a box that is eight.

00:03:17:18    And now box that is

00:03:20:04    13 in size,

00:03:23:24    and 21,

00:03:29:15    and so on.

00:03:36:20    And then we draw a curve starting at one

00:03:41:12    and going through each box,

00:03:46:16    we get this beautiful, poorly drawn by me

00:03:52:16    spiral.

00:03:57:12    And it’s that spiral

00:03:59:15    that you see everywhere in nature’s the exact spiral that you see,

00:04:03:11    like on the Ammonite that I showed you earlier.

00:04:06:19    It’s really cool.

00:04:08:01    Again, no practical application to this in

00:04:12:01    into the business world that I can think of,

00:04:14:24    but a really fascinating look at a simple series of numbers

00:04:19:08    and how this echoes throughout nature in the natural world.

00:04:23:04    Showing that maths is really the root of so much of what we see