entire planet. And while they may seem like random  designs that can actually reveal quite a lot,  

整個地球。而它們看似隨意的設計，其實可以透露出不少資訊。

based on the work of famous mathematician Alan  Turing scientists have created the emerging field  

基於著名數學家艾倫-圖靈的工作，科學家們創造了新興的領域。

of mathematical biology. And in this next film,  we see how scientists are using this technique  

的數學生物學。在下一部影片中，我們將看到科學家們是如何使用這種技術的。

to unveil the hidden realm of patterns, with the  ultimate goal of harnessing them to save species  

揭開模式的神祕面紗，最終目標是利用它們來拯救物種。

across the world. Make sure you stick around after  the credits for a short q&a with the filmmakers.  

世界各地。在片頭之後，請務必留下與電影製作人的簡短問答。

And now from Producer Cristina  Ceuca. This is "A Natural Code."

現在由製片人Cristina Ceuca為大家介紹。這是 "自然密碼"。

We live in a universe of patterns.  Every night, stars move across the sky.

我們生活在一個充滿模式的宇宙中。 每天晚上，星星在天空中移動。

No two snowflakes are ever the same.  intricate waves move across the oceans.  

沒有兩片雪花是一樣的，錯綜複雜的波浪在海洋上移動。

The wind creates ripples in sand.  

風在沙子中產生了漣漪。

Nature's love for patterns extends into the  animal kingdom with a multitude of designs.

大自然對圖案的喜愛延伸到了動物王國，有眾多的設計。

All of these patterns seem disconnected. But  what if they weren't? My name is Natasha Allison.  

所有這些模式看起來都是不相干的。但如果它們不是呢？我的名字是娜塔莎-艾莉森。

This is a story about how we can use  maths to understand more about nature.  

這是一個關於我們如何利用數學來了解更多自然界的故事。

To try and help endangered  species throughout the world.

努力幫助全世界的瀕危物種。

People have never really thought about  how did the animal get its coat markings?  

大家從來沒有真正想過，動物的毛髮標記是怎麼來的？

Why does this animal have one coat? Why  does that another coat? Can we understand

為什麼這個動物有一件毛？為什麼那個又是另一種毛呢？我們可以理解

that? There was one person who wrote a theory  that gave us a whole new way of seeing nature,  

那是什麼？有一個人寫了一個理論，給了我們一種全新的觀察自然的方式。

he was able to see that seemingly different  patterns might not be that different at all.  

他能夠看到，看似不同的模式，可能根本就沒有那麼大的區別。

His name was Alan Turing.  

他的名字是艾倫-圖靈

Alan Turing may be best known  for decrypting German messages  

圖靈可能是最著名的解密德文資訊的人了

in World War II. Not only did he save many  lives, and create one of the first computers,  

在第二次世界大戰中。他不僅挽救了許多人的生命，還創造了第一批計算機。

he helped us understand patterns in nature.

他幫助我們瞭解自然界的模式。

And it was his thinking about  mathematics in this kind of way,  

而他就是以這樣的方式來思考數學的。

that made him behind the first kinds  of mathematical biology research.  

使他成為第一批數學生物學研究種類的背後。

The whole area of mathematical biology is about  understanding nature more using mathematics.  

整個數學生物學領域就是要多用數學來理解自然。

Alan Turing wrote that patterns in nature perform  due to the reaction and spread of two chemicals.  

艾倫-圖靈寫道，自然界中的模式是由於兩種化學物質的反應和傳播而執行的。

These chemicals are called an  activator, and an inhibitor.  

這些化學物質被稱為激活劑，和抑制劑。

The activator encourages production of itself,  whilst the inhibitor slows the production of the  

活化劑鼓勵其自身的生產，而抑制劑則減緩其生產。

activator. Showing both some special mathematical  conditions for this process to produce patterns,  

激活劑。既展示了這一過程產生模式的一些特殊數學條件。

such as spots and stripes. We could explain  this using an analogy of fires and firefighters.  

如斑點和條紋。我們可以用火災和消防員的比喻來解釋。

If we imagine a really dry forest, so dry, that  fires are likely to randomly break out. We could  

如果我們想象一個真正乾燥的森林，乾燥到很可能隨機發生火災。我們可以

prevent this by spreading firefighters across  the forest, waiting for the fires to appear.  

防止這種情況發生，將消防人員分散在森林中，等待火種出現。

You can think of the firefighters as the  inhibitor chemical, stopping the activating  

你可以把消防員看成是抑制劑的化學物質，阻止活化的

fires producing more of themselves and  spreading out too far. As we predicted,  

火災自生自滅，蔓延得太遠。正如我們所預測的那樣。

fires break up. Now if the firefighters spread  much faster than the fires, they were able to stop  

火災破滅。現在如果消防員的傳播速度比火勢快得多，他們就能阻止。

the production and the spread of the fires. Which  leaves burn patches or sparks across the forest.  

火災的產生和蔓延。哪些在森林中留下燃燒的斑點或火花。

That's how Turing patterns are created.

圖靈模式就是這樣產生的。

One of the things that this theory of cheering, I  think tells us his route cheering himself because  

這個加油的理論，我覺得告訴我們他的路線加油自己的一個事情，是因為

it shows just what a far reaching and  inquiring and inventive mind he had.

這說明他的思想是多麼的深遠，多麼的富有探索性和創造性。

And the sad thing is he he did this work. He  published his work in 1952 and he died 1954  

而可悲的是，他他做了這項工作。他在1952年出版了他的作品，1954年去世了

tragically had he lived. Where would we  know be in terms of our understanding of bio

如果他還活著，就會很悲慘。我們對生物的理解將何去何從？

But we can learn so much more from him.  

但我們可以從他身上學到更多的東西。

Researchers have used Turing theory to describe  how many things in the world get that pattern.  

研究人員用圖靈理論描述了世界上有多少事物得到這種模式。

We can see Turing patterns everywhere. From  a zebra stripes to a cheetah spots to the  

我們隨處可以看到圖靈圖案。從斑馬條紋到獵豹斑點再到圖靈圖案。

goosebumps on our skin, it's also been used to  understand more about how animals use their space.  

我們皮膚上的雞皮疙瘩，它也被用來了解更多關於動物如何使用它們的空間。

For example, in my research, I study how birds  move and why they live in the ranges and the  

例如，在研究中，我研究鳥類是如何移動的，為什麼它們會生活在範圍內，以及。

territories that they live in. And instead of  chemicals, we look at the location of the animal,  

領土，他們生活在。而不是化學品， 我們看的是動物的位置。

and the things that drive these  sensitive chemicals reacting together,  

以及驅動這些敏感化學物質一起反應的東西。

our animal behaviors, such as an animal moving  away from scent marks or moving towards its den,  

我們的動物行為，如動物遠離氣味標記或向其洞穴移動。

or maybe moving towards prey. If we  understand why animals move in a certain way,  

或者是向獵物移動如果我們理解了動物為什麼會以某種方式移動，

maybe we can understand how best to protect them.  When humans are changing their habitat, so much  

也許我們可以瞭解如何最好地保護它們。 當人類改變它們的棲息地時，很多東西都會被改變

could be used Turing theory to try and help  endangered species throughout the world.

可以用圖靈理論來嘗試幫助全世界的瀕危物種。

When you have an encounter with a shark,  if you look at it from the top, you just  

當你遇到鯊魚時，如果你從上往下看，你只是

look at it, it seems like stars moving through  the water just gliding so effortlessly. And it's  

看著它，就像星星在水面上移動，就這麼毫不費力地滑行著。而它

it's like looking at a constellation it's  just really beautiful patterns of the whale  

就像看星座一樣 這就是鯨魚的美麗圖案

shark. Very interesting in that they these unique  patterns form the sharks individual spot pattern,  

鯊魚非常有趣的是，它們這些獨特的圖案形成了鯊魚個體的斑紋。

and this unique spot pattern can be used  to then identify each individual shark.  

而這種獨特的斑點圖案就可以用來識別每一條鯊魚。

The whale shark research program is  an NGO that works in the Maldives to  

鯨鯊研究計劃是一個非政府組織，在馬爾地夫開展的工作是為了

consult whale sharks in the area through  research and community mobilization.  

通過研究和社區動員，在該地區諮詢鯨魚問題。

On our daily whale shark service, we go out on  the reef on the south area marine protected area.  

在我們每天的鯨鯊服務中，我們在南區海洋保護區的礁石上出海。

We take identification shots from the left  side, the right side and the top of the shark.  

我們從鯊魚的左側、右側和頂部進行識別拍攝。

And then we run it through a software called  Atreus which is linked to the database,  

然後我們通過一個叫Atreus的軟件來運行它，這個軟件與數據庫相連。

and it gives us the closest matches to the shock  and then we are able to know which shark we saw.

它給我們提供了最接近衝擊的匹配，然後我們就能知道我們看到的是哪條鯊魚。

Once the research team has a picture of a whale  shark, they use the spot pattern from the picture  

一旦研究小組有了一張鯨鯊的圖片，他們就會利用圖片上的斑點圖案進行研究

to decide which individual is and they use  a mathematical algorithm developed by NASA  

來決定哪一個人是，他們使用美國宇航局開發的數學算法。

to decide the individual based on  the distance between all the spots.

以根據所有點之間的距離來決定個人。

So just by looking at these  spots, and patterns, we can then  

所以，只要看了這些點，和模式，我們就可以。

recognize a whole lot more  about each individual shot.

對每一個單獨的鏡頭都有更多的認識。

Collecting information about each individual whale  shark can help with understanding the movements of  

收集每個鯨鯊個體的資訊，有助於瞭解鯨鯊的運動。

the shark, the geographical range of the shark,  even information about the lifespan of the shark,  

鯊魚，鯊魚的地理範圍，甚至鯊魚的壽命資訊。

and help create protected areas,  these endangered elusive creatures.

並幫助建立保護區，這些瀕臨滅絕的生物。

One example would be in helping us create  marine protected areas for the whale sharks,  

一個例子就是幫助我們為鯨鯊建立海洋保護區。

the South area marine protected area has been  

南部地區海洋保護區已被列入《世界遺產名錄》。

created with the use of data collected  mostly through photo identification.

利用主要通過照片識別收集的數據創建的；

We can use this data the team collected to be  able to write a mathematical model, which will  

我們可以利用團隊收集到的這些數據，能夠寫出一個數學模型，將

help us predict the whale sharks population in the  world, which at the moment, we don't even have an  

幫助我們預測世界上鯨鯊的數量，目前，我們甚至沒有一個數據

estimation for we could find out more about why  the whale sharks prefer to swim according to  

估計我們可以發現更多關於為什麼鯨鯊喜歡遊動根據

different variables that the team collected, such  as temperature, wind speed, or current direction.

團隊收集的不同變量，如溫度、風速或水流方向。

All of this from being able to identify them  

所有這些都來自於能夠識別他們

using that beautiful pattern. And it's  not just the well short research program.  

用那美麗的圖案。而這不僅僅是井短的研究計劃。

Organizations are now running projects of  jaguars and zebras to identify individuals  

現在各組織正在開展美洲虎和斑馬的項目，以確定個人的身份。

using their patterns. Thanks to Turing patterns  in nature are beginning to reveal their secrets.  

利用它們的模式多虧了圖靈，自然界中的模式開始揭示它們的祕密。

He's shown us how to create  patterns we see in nature.  

他向我們展示瞭如何創造我們在自然界看到的模式。

And we've seen such an interesting way of  using them. If identifying individuals using  

而我們已經看到了這樣一種有趣的使用方式。如果利用它們來識別個人

that pattern, has already had such a positive  effect on the conservation of whale sharks  

這種模式，已經對鯨鯊的保護產生了如此積極的影響。

by creating the marine protected area,  what else can we do? How much more  

通過建立海洋保護區，我們還能做什麼？還能做多少？

does Turing's theory have to give? And where else  can we use it to understand more about our world

圖靈的理論有什麼用？我們還能在哪裡用它來了解我們的世界呢？

Now what inspired this film?  Let's talk to the filmmakers.

現在是什麼啟發了這部電影？ 讓我們來和電影製作人談談。

Kriss Ceuca. I'm the filmmaker  from "A Natural Code."

克里斯-休卡 Kriss Ceuca.我是 "自然密碼 "的製片人 I'm the filmmaker from A Natural Code."

I'm Dr. Natasha Ellison, and I'm a mathematical  ecologist from the University of Sheffield.

我是娜塔莎-埃裡森博士，我是謝菲爾德大學的數學生態學家。

Finding the idea for a natural code was  mostly Natasha, because this brilliant,  

找到自然碼的想法主要是娜塔莎，因為這個聰明。

brilliant introduction into mathematical  ecology has everything to do with Natasha.

精彩的數學生態學介紹與娜塔莎有關。

So, yeah, I was very lucky to meet Kriss. I've  been studying this kind of mathematics for a  

所以，是的，我很幸運地遇到了克利斯。我一直在研究這種數學，因為

while now. And I always wanted to place to show  it to the general public. And when I met Kriss,  

而現在。我一直想把它展示給大眾。而當我遇到克莉絲的時候

she was so interested and she had so  many ideas about how to make this film,  

她是如此的感興趣，她有這麼多的想法 如何使這部電影。

bring whale sharks into it, for  example. It's all Kriss' idea.  

比如說，把鯨鯊帶入其中。這都是克莉絲的主意

So yeah, I got really lucky that that we were able  to make this together. And Kriss was so creative.

所以，我真的很幸運，我們能夠一起做這個。而克莉絲是如此的有創意。

So it began when I was studying my masters in  mathematics. And I came across a paper by Alan  

所以，它開始於我讀數學碩士的時候。我看到了艾倫的一篇論文

Turing, which the film mentions, and lots of other  scientists have been studying it for years. And,  

影片中提到的圖靈，還有很多科學家都研究了很多年。而且。

and I think this whole thing attractive about  animal patterns isn't the leopards and zebras  

我認為這整個事情的吸引力 關於動物圖案 是不是豹子和斑馬。

and things that really, really makes us want  to know more about them. And because I was a  

和事情，真的，真的讓我們 想知道更多關於他們。因為我是一個

mathematician, and there was mathematics  behind this, it was just so interesting.

數學家，並有 數學背後， 它只是如此有趣。

I know, it's even if it's a 10 minute documentary,  it involved a lot of people collaborating, to be  

我知道，即使是10分鐘的紀錄片，它也涉及到很多人的合作，要成為

able to tell the story. So we collaborated with  a visual artists as well, for the patterns that  

能夠講述這個故事。所以我們也和視覺藝術家合作了，對於這些圖案

were created, they are actually touring patterns  that you can see on the screen for the visuals,  

被創建，它們實際上是旅遊模式，你可以在螢幕上看到視覺效果。

we also included some of the underwater  footage that we filmed in the Maldives  

我們還加入了一些我們在馬爾地夫拍攝的水下鏡頭。

with the whale sharks, they were done  in collaboration with the Maltese  

與鯨鯊的合作，他們是與馬耳他人合作完成的。

whale shark research program, that they are  working tirelessly from the boat every day,  

鯨鯊研究計劃，他們每天都在船上不知疲倦地工作。

with volunteers. And with citizen science as  well. They've developed an app that was based,  

與志願者。和公民科學也是如此。他們開發了一款應用，是基於。

similar to the NASA algorithm to identify the  stars to identify individual whale sharks. So  

類似於美國宇航局識別星星的算法來識別鯨鯊個體。所以

that was an amazing collaboration that we were  able to do because it was in a way, showing how  

這是一個驚人的合作，我們能夠做到這一點，因為它是在某種程度上，展示如何

science communication can- and science- can  can help endangered species around the world.

科學傳播可以-和科學-可以幫助世界各地的瀕危物種。

Something I'm working on now is is a project  with primary schools. So that's ages, age,  

我現在正在做的事情是與小學合作的一個項目。所以就是年齡，年齡。

like nine to 10, where what we're trying to  sort of show they're about Turing patterns,  

就像九到十，我們想展示的是他們是關於圖靈模式。

in the hope that you know, when they get into  the high school, and when they go on to study,  

希望你知道， 當他們進入高中， 當他們去學習，

if they do that, they'd be interested  in doing maths, and then, you know,  

如果他們這樣做，他們會有興趣 在做數學，然後，你知道，

we can push that sort of research area  forward. So I guess that's one of the most  

我們可以推動這種研究領域的發展。所以，我想這是一個最

important things that the film is inspiring  younger people into these kind of areas.

重要的事情，影片在激勵年輕人進入這類領域。

For me, I have another wildlife  bill project coming up. So it'll be  

對我來說，我有另一個野生動物法案項目即將開始。所以這將是

shorter, a longer version of it'll be  about 20 to 30 minutes. And it'll be about  

較短的，較長的版本會有20到30分鐘左右。而這將是關於

like Transylvania forest. It'll be  about deforestation and habitat loss.  

像特蘭西瓦尼亞森林。這將是關於森林砍伐和棲息地喪失。

And also plants to like recover from  that. So how are young people involved  

也有植物來喜歡恢復。那麼，如何是年輕人参與

into reforestation projects in Transylvania,  that's, that's the new project coming up.

到重新造林項目 在特蘭西瓦尼亞，那是，那是 新項目來了。

As a scientist, who you know, has, I have limited  filmmaking experience or anything, nothing? Well,  

作為一個科學家，你知道，有， 我有有限的電影製作經驗 或任何東西，什麼都沒有？好吧。

I've not made a film before myself. But finding  people like Chris to promote your research and  

我自己沒有拍過電影。但能找到像克里斯這樣的人 來推廣你的研究和...

be able to creatively show people, your ideas of  science is really important. You know, I could  

能夠創造性的向人們展示， 你的科學理念是非常重要的。你知道，我可以

have sat down for months and months and learned  it myself. But that's, that's not helpful. It's  

已經坐了好幾個月，自己也學會了。但那是，那是沒有用的。它的

helpful to go and seek out filmmakers and seek out  people that you're going to be able to work with.

有幫助的去尋找電影人，尋找你要能與之合作的人。

And as Chris mentioned, in a previous  answer, to collaborate with people,  

而正如Chris在之前的回答中提到的，要與人合作。

these collaborations are really important.  If there's like any advice for upcoming  

這些合作是非常重要的。 如果有像任何建議 對於即將到來的

science communicators or filmmakers, is I think,  remember why you're doing it. So every time  

科學傳播者或電影製作者，是我認為，記住你為什麼要這樣做。所以每次

you think maybe you you've lost your way or you  don't know how to do it or how to save better or  

你認為也許你你已經迷失了方向，或者你不知道如何做，或者如何更好地保存或。

why is it even worth it or everything is just  remember why you started it and what what's  

為什麼它甚至值得或一切都只是記住你為什麼開始它，什麼是什麼。

your passion for it because that's, I  think your biggest tool into science  

你對它的熱情，因為那是，我認為你進入科學的最大工具

communication is like people are going to see  your passion for the subject and they want to,  

溝通就像人們要看到你對這個話題的熱情，他們要。

they want to they they will want to learn more  just because they will see that drive and passion  

他們想他們他們會想學習更多，只是因為他們會看到這種動力和激情。

in your eyes so just always go back to your inner  self when you when you don't know which way to go.

在你眼裡，所以只要在你不知道該走哪條路的時候，總是回到自己的內心。

Doesn't this just make you want to get outside  and discover patterns in the nature around you?  

這不就是讓你想走到外面去，去發現周圍大自然中的圖案嗎？

Thanks for watching Seeker Indie's premiere have  "A Natural Code." It's stories like these that  

感謝收看Seeker Indie的首映有 "自然密碼"。就是這樣的故事

can inspire more discoveries, more adventures and  new ideas that may one day help save our planet.

可以激發更多的發現，更多的冒險和新的想法，也許有一天會幫助拯救我們的地球。