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TED-Ed, Can you solve the unstoppable blob riddle? - Dan Finkel

Can you solve the unstoppable blob riddle? - Dan Finkel

A shooting star crashes on Earth,

and a hideous blob emerges.

It creeps and leaps, it glides and slides.

It's also unstoppable:

weapons, fire, extreme temperatures…

no matter what you throw at it,

it just regrows and continues its rampage.

Its expansion is breathtaking;

it doubles in size every hour.

But there's one opportunity:

after each hour, it goes to sleep,

forming itself into a flat triangle

and resting for a few minutes

before it begins eating and growing again.

Your only chance to save the planet

involves a satellite-mounted nano-fission ray that can cut through the blob.

When the blog is active

it heals itself within seconds.

However, when you break the sleeping blob into two triangles,

you make a critical discovery.

The acute triangle portion,

with all angles less than 90 degrees, is inert.

It never “wakes up.”

The obtuse triangle,

which has an angle greater than 90 degrees,

wakes up as usual and keeps growing.

Similar experiments show that all shapes other than acute triangles,

including right triangles, will also wake up.

For the next few minutes,

the blob is sleeping in its obtuse triangle form.

You can make clean, straight-line cuts

between any two points on or inside the triangle.

But you'll only have time to make 7 cuts while the satellite is above you.

By the time it completes its orbit and returns,

the blob will have consumed the entire world,

if even a single portion that will wake up remains.

How can you cut the blob entirely into acute triangles

and stop it from destroying the planet?

Pause the video now to figure out for yourself

Answer in 3

Answer in 2

Answer in 1

While this seems doable at first,

there's a hidden difficulty when it comes to avoiding obtuse and right angles.

Every time you make a cut that reaches an edge,

it either makes an acute and an obtuse angle, or two right angles.

That makes it seems like you're doomed to keep creating obtuse angles.

But as with so many of life's problems,

we can look to pizza for inspiration.

Imagine squaring off the outside of a pizza,

so that instead of a circle, it's an octagon.

When we cut it into slices,

each of the eight triangles is acute.

This works with larger polygons too.

Importantly, it also works for some polygons with fewer sides,

including heptagons, hexagons, and pentagons.

That's good news,

because if you cut off the sharp corners of the blob triangle,

a pentagon is exactly what you'll be left with.

And just like a pizza,

you can cut the blob pentagon into five acute triangles.

That's 7 cuts, and it renders the blob completely inert.

You've saved the day!

Now you just need to figure out what to do

with all of these giant, practically indestructible triangles.

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Can you solve the unstoppable blob riddle? - Dan Finkel ||解决问题||不可阻挡的|||| |||||Blob Rätsel||| Können Sie das Rätsel des unaufhaltsamen Kleckses lösen? - Dan Finkel ¿Puedes resolver el enigma de la mancha imparable? - Dan Finkel Riuscite a risolvere l'indovinello del blob inarrestabile? - Dan Finkel 止められないブロブの謎を解けるか?- ダン・フィンケル 멈출 수 없는 블롭 수수께끼를 풀 수 있을까요? - Dan Finkel Ar galite išspręsti nesustabdomos dėmės mįslę? - Danas Finkelis Czy potrafisz rozwiązać zagadkę niepowstrzymanego bloba? - Dan Finkel Consegues resolver o enigma da bolha imparável? - Dan Finkel Сможете ли вы разгадать загадку неудержимого глобуса? - Дэн Финкель Durdurulamaz blob bilmecesini çözebilir misiniz? - Dan Finkel Чи зможете ви розгадати нестримну загадку краплі? - Ден Фінкель 你能解开这个无法阻挡的谜题吗? - 丹·芬克尔 你能解開不可阻擋的斑點之謎嗎? ——丹·芬克爾

A shooting star crashes on Earth, |流星||坠落|| Uma estrela cadente colide na Terra,

and a hideous blob emerges. ||可怕的|怪异的块|出现 ||||taucht auf ||grotesque|amorphous mass| e uma bolha hedionda emerge. і з’являється жахлива пляма.

It creeps and leaps, it glides and slides. |爬行||跳跃||滑行||滑动 |moves slowly||jumps||moves smoothly|| Ela se arrasta e pula, desliza e escorrega. Він повзе і стрибає, ковзає і ковзає.

It's also unstoppable: ||不可阻挡 Ela também é irrefreável:

weapons, fire, extreme temperatures… 武器|火|极端|温度 armas, fogo, temperaturas extremas...

no matter what you throw at it, não importa o que você atire nela,

it just regrows and continues its rampage. ||重新生长||继续肆虐||肆虐 ||grows back|||| ela apenas aumenta de tamanho e continua sua fúria. він просто відростає і продовжує свою лють.

Its expansion is breathtaking; |扩展||令人惊叹的 Sua expansão é de tirar o fôlego;

it doubles in size every hour. |翻倍||||小时 ela dobra de tamanho a cada hora.

But there's one opportunity: |||机会 Mas há uma única chance:

after each hour, it goes to sleep, depois de cada hora, ela adormece,

forming itself into a flat triangle 形成|它自己|||| transformando-se num triângulo plano

and resting for a few minutes |休息|||| e descansando por alguns minutos

before it begins eating and growing again. |||||生长| antes de começar a comer e a crescer novamente.

Your only chance to save the planet ||机会||拯救||地球 A única chance de você salvar o planeta

involves a satellite-mounted nano-fission ray that can cut through the blob. 涉及||卫星|安装||裂变|射线||||||物质块 |||||nuclear splitting process||||||| envolve um raio de nano-fissão montado em satélite que pode cortar a bolha. включає встановлений на супутнику нанопромінь поділу, який може прорізати краплю.

When the blog is active ||博客||活跃 Quando a bolha está ativa,

it heals itself within seconds. ela se cura em segundos.

However, when you break the sleeping blob into two triangles, |||||睡眠||||三角形 No entanto, quando você quebra a bolha adormecida em dois triângulos,

you make a critical discovery. |||关键|发现 você faz uma descoberta crítica.

The acute triangle portion, Гострокутна частина,

with all angles less than 90 degrees, is inert. ||角度|||度数||惰性 |||||||Not reactive com todos os ângulos menores que 90 graus, fica inerte. з усіма кутами менше 90 градусів, є інертним.

It never “wakes up.” Ela nunca "desperta".

The obtuse triangle, |钝角| |greater than 90°| O triângulo obtuso, Тупокутний трикутник,

which has an angle greater than 90 degrees, |||角度||| que tem um ângulo maior do que 90 graus,

wakes up as usual and keeps growing. acorda como sempre e continua crescendo.

Similar experiments show that all shapes other than acute triangles, Experimentos similares mostram que todas as formas além de triângulos agudos,

including right triangles, will also wake up. inclusive triângulos retângulos, também irão despertar.

For the next few minutes, Nos próximos minutos,

the blob is sleeping in its obtuse triangle form. a bolha estará dormindo na forma de um triângulo obtuso. крапля спить у формі тупого трикутника.

You can make clean, straight-line cuts Você pode fazer cortes regulares em linha reta

between any two points on or inside the triangle. entre dois pontos do triângulo ou dentro dele.

But you'll only have time to make 7 cuts while the satellite is above you. Mas só terá tempo de fazer sete cortes enquanto o satélite estiver acima de você.

By the time it completes its orbit and returns,

the blob will have consumed the entire world, a bolha terá consumido o mundo inteiro,

if even a single portion that will wake up remains. mesmo que reste uma única parte que possa despertar.

How can you cut the blob entirely into acute triangles Como você pode cortar a bolha inteira em triângulos agudos

and stop it from destroying the planet? e impedir que ela destrua o planeta?

Pause the video now to figure out for yourself [Pause o vídeo agora para descobrir por si mesmo!]

Answer in 3 [Resposta em 3]

Answer in 2 [Resposta em 2]

Answer in 1 [Resposta em 1]

While this seems doable at first, Embora isso pareça factível a princípio,

there's a hidden difficulty when it comes to avoiding obtuse and right angles. há uma dificuldade oculta quando se trata de evitar ângulos obtusos e retos.

Every time you make a cut that reaches an edge, Toda vez que você faz um corte que atinge uma extremidade,

it either makes an acute and an obtuse angle, or two right angles. ele faz um ângulo agudo e obtuso, ou dois ângulos retos.

That makes it seems like you're doomed to keep creating obtuse angles. Isso faz parecer que você está fadado a continuar criando ângulos obtusos.

But as with so many of life's problems, Mas, como acontece com tantos problemas da vida,

we can look to pizza for inspiration. podemos buscar inspiração na pizza.

Imagine squaring off the outside of a pizza, |Making square edges|||||| Imagine esquadrar a borda de uma pizza

so that instead of a circle, it's an octagon. ||||||||eight-sided shape para que, em vez de um círculo, seja um octógono.

When we cut it into slices, Quando a cortamos em fatias,

each of the eight triangles is acute. cada um dos oito triângulos é agudo.

This works with larger polygons too. ||||geometric shapes| Isso também funciona com polígonos maiores.

Importantly, it also works for some polygons with fewer sides, ||||||Polygonen||| O importante é que também funciona para alguns polígonos com menos lados,

including heptagons, hexagons, and pentagons. |Sieben-Ecke|Sechsecke||Fünfecke |seven-sided shapes|Six-sided shapes||Five-sided shapes inclusive heptágonos, hexágonos e pentágonos. включаючи семикутники, шестикутники та п'ятикутники.

That's good news, Isso é uma boa notícia,

because if you cut off the sharp corners of the blob triangle, porque, se você cortar os cantos agudos do triângulo da bolha,

a pentagon is exactly what you'll be left with. vai restar exatamente um pentágono.

And just like a pizza, E, assim como uma pizza,

you can cut the blob pentagon into five acute triangles. você pode cortar o pentágono da bolha em cinco triângulos agudos.

That's 7 cuts, and it renders the blob completely inert. ||||makes||amorphous mass|| Isso dá sete cortes, e torna a bolha completamente inerte. Это 7 разрезов, и это делает блоб полностью инертным.

You've saved the day! Você conseguiu! Вы спасли день!

Now you just need to figure out what to do Agora você só precisa descobrir o que fazer Теперь вам просто нужно разобраться, что делать

with all of these giant, practically indestructible triangles. ||||||nearly unbreakable| com todos esses triângulos gigantes, praticamente indestrutíveis. з усіма цими гігантськими, практично непорушними трикутниками.