Creativity Imagination Math

[Music]

i’m

rosie and today i will be focusing on

spotting the creativity and

imagination inside mathematics

so who here wants an ice cream right now

me too but let’s talk about it later

first of all let’s talk about some math

some simple one why is six afraid of

seven

that’s right because seven eight nine

that’s just a simple answer but

on the other hand why are us humans

afraid of mass

that’s because we’re often afraid of

numbers

we sometimes view those numbers as

insurmountable challenge that keeps

hitting on us just look at this figure

and see

if this somehow reminds you of the fear

that you have over mass

if it does that’s because we often

picture those figures

as grand figures which only scientists

and mathematicians will venture to take

a step in

but actually don’t look at these numbers

as just numbers

we sometimes describe math as a language

itself

because we saw human languages are not

even capable of

explaining the complicity of it but

today

i’m here not to just talk about math but

more importantly

let’s talk beyond math let’s talk about

how

math powers imagination and how it helps

us to explore

and even construct the world people

often value math

as only logical reasoning and problem

solving skills

of course math cannot be separated from

those two

but remember there are only tools which

helps us to approach

the nature of math there can be a

pathway to understanding but they are

never the purpose that we’re aiming for

in fact everything and mass lead to

creativity and imagination

now let’s get back to our ice cream

imagine you are holding this ice cream

and

it’s a pretty typical one as you can see

it consists two parts a creamy topping

and a crispy cone

imagine you’re holding it and it happens

to be someone

who just heard my ted talk and you are

inspired to be a mathematician for one

day

um you’re looking at it then you start

randomly through

throwing different mathematical

questions towards this for ice cream

you saw oh how can we figure out the

volume of this topping

or is this beautiful geometric shape

somehow connected to the secret of

fibonacci sequence

great questions of course but then after

a minute you got

bored then tragedy occurs you

dropped it what can we do now

but look at it the cone part is still

good can we

at least pick it up it’s five seconds

rule

it will make a big difference but now

the only thing you have

is a cone it’s just a cone sitting there

doing nothing

so why don’t we do something to it

something exciting like

cut it open that might not sound very

mathematical indeed but

let’s try it because it sounds creative

i’m cutting it open can be fun because

you find several ways of doing it you

can cut it open either like that

or like that or like that and they give

you different outcomes if you look at

them from sideways

that cut gives you a circle that one

gives you

an ellipse and finally that one it gives

you

a curve which we usually call a parabola

these shapes as mathematicians as what

mathematicians always do we

gave them a fancy name we call them

conic sections

and conic sections are actually

everywhere you can find them

from grand human buildings to small

but beautiful nature belongings and

any basketball players here around

if you are one please raise your hand

see we have a lot of basketball players

here

i’m one myself too and what happens when

you throw a ball

chestnut could you please catch this

oops

sorry nice catch anyways but

did you just see what’s happening that

was the parabola that you just created

when you throw a ball you always get a

parabola and parabola

are everywhere you can literally spot it

here’s a parabola and you can spot it

from everywhere

you can spot it when a dolphin jumps out

of water

when a comet sweeps across the sky or

look into a mirror then you’ll find that

your eyes they’re

actually in parabolic structure too

parabolas they are beautiful shapes and

they are just as

powerful at the same time you can find

them

in the world famous building

the golden gate bridge bridges are meant

to be built strong

so that they can support the weight or

heavy loads that’s

acting on it so why is the parabolic

structure

applied in bridges because it actually

helps the bridge

to support any heavy loads that you need

to overcome

when a force is applied to a specific

region

on the bridge the parabola actually has

the ability to

send it down to different parts of the

parabolic structure

because a parabola is placed on evenly

the middle is arching up and the other

parts

are bending down so when the force is

applied

it can distribute it to different places

so that parabolic structure can usually

obtain

much more weight than other structures

such as a straight line or anything else

now let’s think back what we just did

that is called

mass don’t be shocked by me but you are

doing that

with me together math might be the most

imaginative form of art ever you can did

you

just think back we started from simply

a ice cream and it drops and then we

get conic sections and parabola now

we’re here

math is imaginative because it can give

us so many ways of so many different

things

and mathematics every mathematician is

an artist

in their own way for being creative

enough to connect

concepts together and also to start from

only a simple what if and end

with amazingly creative ideas and

connections between things

and our imagination is just never enough

you can always dive deeper imagination

and creativity

actually they often come hand in hand

because every piece of creation

starts from a single idea to try and

also from

imagining and constructing an idea if

you are creative enough

you can even find connections between

this bridge fantastic bridge between

this bridge and an egg

look at that egg what do you find you

can also find parabolic structure in

this egg

you can also picture it as an ellipse or

you can easily picture it as

the con as two parabolic structures that

are connected

actually it works the same way just it

did with the bridge

when a specific force is applied to this

egg

it’s the force got distributed to

different parts of the egg so the shell

can overcome

so much force have you ever tried to

squeeze an egg

with only your palm try it it’s

extremely hard to break the egg there’s

actually a challenge on youtube that’s

called

impossible air crush what impossible

because it’s hard

and an egg by experimenting it people

find out

it actually takes more than 26

kilograms of weight to break an egg

like clutching it in an upright position

26 kilograms that’s almost the weight of

a eight-year-old and

thanks to our parabola they’re so so

powerful

another example of applying parabola can

be

eiffel tower you are having this and

actually i don’t know if you thought

about this eiffel tower is made of all

metals

and these metals they um at total

the eiffel tower approximately weights

ten thousand and a hundred tons

and it’s simply supported by a parabolic

structure

at a base parabolas they’re amazing

and now don’t be shocked by this but you

are doing mass

again using your imagination and

creativity along with me

mass powers imagination and creativity

and those two are actually the essence

of of our

technology and now their world as nicola

tesla once said

facts and ideas are dead in themselves

and it’s the

imagination that brings life to them and

everyone is a mathematician because

everyone has ability to cut a cone open

or create a fantastic perfect parabola

by throwing a ball you are all

mathematicians

and thank you very much and also thanks

for our ice cream

[音乐]

我是

rosie,今天我将专注于

发现数学中的创造力和

想象力

所以谁现在也想要冰淇淋

但是让我们稍后再谈

首先让我们谈谈一些数学

一些简单的为什么 六怕

是对的,因为七八九

这只是一个简单的答案,但

另一方面,为什么我们人类

害怕质量

,那是因为我们经常害怕

数字,

我们有时将这些数字视为

无法克服的挑战,不断

打击我们 看看这个数字

看看这是否让你想起了你对质量过大的恐惧

因为我们经常

把这些数字想象

成只有科学家

和数学家才会冒险

迈出的宏伟数字,

但实际上并没有 将这些数字

视为只是数字,

我们有时将数学描述为一种语言

本身,

因为我们看到人类语言

甚至无法

解释它的共谋性,但

今天

我来这里不仅仅是谈论数学,

更重要的是

让我们谈论数学以外的话题让我们谈谈数学

如何

激发想象力以及它如何帮助

我们探索

甚至构建世界人们

通常将数学

视为仅是逻辑推理和解决

问题的

技能 数学不能与这两者分开,

但请记住,只有工具可以

帮助我们接近

数学的本质,可以有

一条通往理解的途径,但它们

永远不是我们的目标

,事实上,一切都和质量导致

创造力和 想象

现在让我们回到我们的冰淇淋

想象你拿着这个冰淇淋

它是一个非常典型的冰淇淋,你可以看到

它由两部分组成,一个奶油馅料

和一个酥脆的圆锥体

想象你拿着它,它

恰好是一个

人 刚听了我的 ted 演讲,你

受到启发成为一名数学家,

嗯,你正在看它,然后你开始

随机

抛出不同的数学

问题 ds这是冰淇淋

你看到的哦,我们怎么能算出

这个浇头的体积,

或者这个美丽的几何形状是否

与斐波那契数列的秘密有某种联系

,当然是很好的问题,但是

一分钟后你感到

无聊,然后悲剧发生了,你

掉了它 我们现在能做什么,

但看看它,锥体部分仍然

很好,我们

至少可以把它捡起来吗?它是五秒

规则,

它会产生很大的不同,但

现在你唯一拥有的

是一个锥体,它只是一个锥体坐在那里

什么都不做

所以我们为什么不对它

做一些令人兴奋的事情,比如

把它切开,这听起来可能不是很

数学,但

让我们试试吧,因为它听起来很有创意

我正在把它切开可能很有趣,因为

你可以找到几种方法

像那样或那样或那样把它切开,

如果你

从侧面看它们

,它们会给

你不同

的结果 e 我们通常称之为抛物线

这些形状作为数学家 就像

数学家一直在做的那样 我们

给它们起了一个花哨的名字 我们称之为

圆锥

曲线 圆锥曲线实际上

无处不在,

从宏伟的人类建筑到小

而美丽的自然物品和

任何篮球 这里的球员

如果你是一个请举手

看看我们这里有很多篮球运动员

我自己也是一个当

你扔一个

栗子球时会发生什么你能不能接住这个

哎呀

抱歉无论如何都不错

但是你刚刚看到 发生了什么事

那是你刚刚创建的抛物线

当你扔球时 你总是得到

抛物线

抛物线无处不在 你可以从字面上看到它

这是一条抛物线 你可以

从任何地方

发现它 当海豚跳出水面时你可以发现它

当彗星掠过天空

或照镜子时,您会发现

您的眼睛

实际上是抛物线结构,

它们是抛物线 美丽的形状,同时

它们同样

强大,您可以

在世界著名的建筑中找到它们

金门大桥的桥梁

旨在坚固,

以便它们能够支撑作用在其上的重量或

重物,

所以为什么 抛物线

结构

应用于桥梁,因为它实际上

有助于

桥梁支撑您需要克服的任何重载,

当力施加到

桥梁上的特定区域时,抛物线实际上

有能力

将其向下传递到

抛物线结构的不同部分

因为抛物线被均匀地放置

在中间是拱形的,而其他

部分

是向下弯曲的,所以当施加力时,

它可以将它分布到不同的地方,

这样抛物线结构通常可以获得

比直线等其他结构更大的重量

或者其他什么

现在让我们回想一下我们刚刚做

了什么叫做

质量不要被我震惊但是你和我一起

做那件事

妈妈 这可能是

你能想到的最具想象力的艺术形式,

你回想一下,我们从简单

的冰淇淋开始,然后它会下降,然后我们

得到圆锥曲线和抛物线,现在

我们在这里

数学是富有想象力的,因为它可以给

我们很多 这么多不同的

事物

和数学的方法每个数学家都是

以自己的方式成为艺术家,因为他们有

足够的创造力将

概念联系在一起,也

从一个简单的假设开始,并

以惊人的创造性想法和

事物之间的联系结束

,我们的想象力只是 永远不够,

你总是可以更深入地发挥想象力

和创造力,

实际上它们经常齐头并进,

因为每件创作

都从一个尝试的想法开始,

也从

想象和构建一个想法开始,如果

你有足够的创造力,

你甚至可以找到这座桥之间的联系

这座桥和一个鸡蛋之间的奇妙桥梁

看看那个鸡蛋 你发现了什么 你

还可以在这个鸡蛋中找到抛物线结构

你 也可以把它想象成一个椭圆,或者

你可以很容易地把

它想象成两个抛物线结构,

它们实际上是相连的

鸡蛋的不同部位,所以蛋壳

可以

承受如此大的力 你有没有试过只用手掌

挤压鸡蛋

尝试打破鸡蛋非常困难

实际上在 youtube 上有一个挑战

被称为

不可能的空气粉碎 什么不可能,

因为它很难

和一个鸡蛋 通过实验人们

发现

它实际上需要超过 26

公斤的重量才能打破一个鸡蛋,

就像在一个直立的位置抓住它一样

26 公斤,这几乎是

一个八岁孩子的重量,

多亏了我们的抛物线,它们是 如此

强大的

另一个应用抛物线的例子可以

埃菲尔铁塔,你有这个,

实际上我不知道你是否

想过这个埃菲尔铁塔是由所有

金属制成

的 和这些金属,他们嗯,

埃菲尔铁塔总共重约

一万吨

,它只是由抛物线底部的抛物线结构支撑,

它们很棒

,现在不要对此感到震惊,但你

正在

使用 你的想象力和

创造力和我一起

大众力量想象力和创造力

,这两者实际上

是我们

技术的本质,现在他们的世界正如

尼古拉特斯拉曾经说过的那样,

事实和想法本身就已经死了,

想象力给他们和每个人带来了生命

是一位数学家,因为

每个人都有能力切开一个圆锥体

或通过扔球创造一个梦幻般的完美抛物线

你们都是

数学家

,非常感谢你们,也

感谢我们的冰淇淋