Maths is all around us

galileo galilei

the man who persuaded the world the

earth rotated around the sun

and invented amazing telescopes that

helped us look into space

500 years ago once said the book of

nature

is written in the language of

mathematics

i love and have always loved maths i

also love nature and we spent

hours walking in the parks and

countryside i can see that maths is all

around us

and i have spent some time looking at

four famous mathematicians who have

shown us

the maths in nature i want to start with

a man

named leonardo fibonacci fibonacci lived

in italy around

1 000 years ago he was the son of a

merchant

he used to travel around with his father

and watch him buying and selling goods

this meant that he became very

interested in numbers

as he grew up he studied hard and wrote

a number of books about maths

but what he is most famous for is

something called the fibonacci sequence

the sequence came about when he posed

this question

if you put a pair of rabbits in a walled

garden a boy and a girl

how many pairs will be produced in one

year if every month

each pair produces another he came up

with something like this

one and one then two

one and one added together then three

one and two added together

and so forth he kept adding the numbers

next to each other together

and then put that result at the end of

the sequence

finally he had something like this 1 1

2 3 5 8 and 13 and so on

he put these numbers into a diagram and

it looks something like this

now this is called phi and you can see

it everywhere in nature

here you can see it as plants grow

here you can see it in the tail of a

seahorse and

even here these are pictures of real

galaxies taken in space

you can see the spiral in each of them

now when i go for a walk along a park or

a lot sorry

in a park or along any road i can see

that the mass around me has a

mathematical pattern to it

this makes it very interesting

as well as plants i like animals and one

day i realized that some animals had

quite similar patterns on their backs

so i decided to look into it i came

across a man named georgie voronoi

voronoi was ukrainian mathematician and

he lived around 100 years ago

sadly he only died when he was 40 but he

did

discover something very important the

voronoi pattern

you can picture this pattern like this

if you were to sprinkle some salt on a

table

and then draw lines that were

equidistant to each of the grains

you would get the voronoi pattern you

can see this pattern everywhere around

you in nature

here you can see it on the back of a

turtle

here you can even see it on the skin of

a giraffe and here you can see it

on the inside of the skin of an onion

next time you go for a walk have a look

around you maybe it’s a leaf or some

dried mud

and you will see a familiar pattern

talking of patterns on animals i came

across

another man named archimedes archimedes

was a greek mathematician and

philosopher

and he lived around 2 300 years ago

that’s 300 years before the birth of

jesus christ

and he was a very clever man and made

many very important discoveries in the

world of mathematics

one of the best things that he did was

to discover the number pi

pi is the number you get if you divide

the circumference of a circle

the way around it but i do by the

diameter the way through it

pi is very simple to work out and it’s a

very very amazing number

three things that are amazing about it

are that it goes on

forever and ever it never repeats itself

and it has been calculated to over one

trillion digits that’s a million

millions what is also incredible about

the number pi

is that scientists have discovered that

the placement and frequency of some

markings on animals backs

are to do with the number pi like here

on the dots on this starfish

or here on the spot on this whale

when i was looking into pi i discovered

that it was called an irrational number

which means you can never put it all

into one place it just keeps going on

and

on forever when i was looking into

irrational numbers

i discovered there was also something

called an imaginary number

a number that doesn’t exist and the man

often thought responsible of imaginary

numbers

was a man named leonard euler euler was

a swiss mathematician and he lived

around the 1700s so around 300 years ago

he looks something like this and he

wanted to be able to calculate things

to do with sound waves light waves and

waves in the water

at his time he didn’t have any way to do

this so he decided to come up with his

own way

but the thing this is the weird thing

about the thing he did

he came up with a number but a number

that didn’t exist

he came up with the number square root

of negative one

but we all know the square root of

negative one isn’t possible

because negative one times negative one

is one

but he used it anyway and he came up

with some very clever calculations like

this one

he now he called it i and this is an

example of a calculation that he did

now everybody uses i to work out things

like sound waves light waves waves in

the water

and even things to do with microwaves

i have come to see that maths is not

just a boring subject that we have to do

in school

it is everywhere we look and in

everything we see

and i especially love the saying of a

famous indian mathematician

named shakuntala devi who only died a

few years ago

but before she did she said without

mathematics there is nothing you can do

everything around you is mathematics

everything around you is numbers

伽利略 伽利略 500 年前说服世界

地球围绕太阳旋转

并发明了

帮助我们观察太空的惊人望远镜的人

曾经说过,自然之书

是用我热爱的数学语言写成的

,我一直热爱数学我

也热爱 自然,我们花了好

几个小时在公园和

乡村散步

大约1000年前住在意大利他是一个商人的儿子,

他曾经和父亲一起到处旅行

,看着他买卖商品,

这意味着他长大后

对数字很感兴趣,

他努力学习并写

了一个数字 关于数学的书籍,

但他最出名的

是所谓的斐波那契数列

,如果你放一对兔子,当他提出

这个问题时,这个数列

就会出现 在一个有围墙的

花园里,一个男孩和一个女孩

一年将生产多少双

如果每个月

每双生产另一双他

想出了这样的东西:

一加一,然后二

一加一,然后三

一加二加起来

, 以此类推,他不断

将彼此相邻的数字相加

,然后将该结果放在序列的末尾,

最后他得到了类似 1 1

2 3 5 8 和 13 的东西,依此类推,

他将这些数字放入图表中,

看起来 像这样的东西

现在被称为 phi 你可以

在自然界的任何地方

看到它 你可以在植物生长的

过程中看到它 你可以在海马的尾巴上看到它

甚至在这里这些是在太空中拍摄的真实

星系的照片

你可以看到

现在,当我沿着公园散步或者

在公园里或沿着任何一条道路走很遗憾时,它们每个人的螺旋线我可以看到

我周围的质量有一个

数学模式,

这使得它

和植物一样非常有趣 我喜欢动物,有

一天 我意识到有些动物

的背上有非常相似的图案

所以我决定研究一下我

遇到了一个名叫乔治·沃罗诺伊的人

沃罗诺伊是乌克兰数学家,

他生活在大约 100 年前,

遗憾的是他在 40 岁时才去世,但他

确实

发现了 非常重要的

voronoi 图案

你可以像这样描绘这个图案

如果你在桌子上撒一些盐

然后画出

与每个谷物等距的线

你会得到 voronoi 图案 你

可以在你周围的任何地方看到这个图案

自然

在这里你可以在乌龟的背上

看到它 你甚至可以

在长颈鹿的皮肤上

看到 你也许是一片叶子或一些

干泥

,你会看到一个熟悉的图案

谈论动物的图案我

遇到了

另一个名叫阿基米德的人 阿基米德

是一位希腊数学家和

哲学家

,他活着 d 大约 2

300 年前,也就是耶稣基督诞生前 300 年

,他是一个非常聪明的人,在数学世界中做出了

许多非常重要的发现

,他所做的最好的事情之一

就是发现了数字

pi 是 如果你将

一个圆的周长除以

它周围的方式,你会得到一个数字,但我是

通过它的直径来计算的

pi 很容易计算出来,这是一个

非常非常令人惊奇的

数字,它令人惊奇

的是它去了

永远永远它永远不会重复

,它被计算到超过一

万亿位数,也就是一

百万,

关于数字 pi 的另一个令人难以置信的

是,科学家们发现

动物背部某些标记的位置和频率

当我研究 pi 时,我

发现它被称为无理数

,这意味着你永远不能 p 但这一切都

集中在一个地方它只是一直持续

下去当我研究

无理数时

我发现还有一种

叫做虚

数的东西一个不存在的数字

通常认为对虚数负责的

人是一个人 名叫 leonard euler euler 是

一位瑞士数学家,他生活

在 1700 年代左右,所以大约 300 年前,

他看起来像这样,他

希望能够计算

与声波、光波和

水中波有关的事情,

当时他没有 没有办法做到

这一点,所以他决定想出

自己的方式,

但奇怪

的是他所做的事情

他想出了一个数字,但一个

不存在的数字

他想出了 number

负一的平方根,

但我们都知道

负一的平方根是不可能的,

因为负一乘以负一

就是一,

但他还是用了它,他想出

了一些非常聪明的计算,比如

这个

他不 他称它为 i,这

是他进行的计算示例

我们在学校必须做的一个无聊的科目

它无处不在,在

我们所看到的一切中

,我特别喜欢一位名叫 shakuntala devi 的著名印度数学家的说法,

她几年前才去世,

但在她去世之前,她说

那里没有数学 你无能为力 你

周围的一切都是数学

你周围的一切都是数字