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  • A shooting star crashes on Earth,

    譯者: Lilian Chiu 審譯者: Bruce Sung

  • and a hideous blob emerges.

    一顆流星撞上了地球,

  • It creeps and leaps, it glides and slides.

    出現了一隻可怕的黏液怪物。

  • It’s also unstoppable:

    它會爬行、會跳躍、 會滑動、會滑行。

  • weapons, fire, extreme temperatures

    它也所向無敵:

  • no matter what you throw at it,

    武器、火、極端溫度…… 不論你用什麼方式攻擊它,

  • it just regrows and continues its rampage.

    它總會再生並繼續製造暴亂。

  • Its expansion is breathtaking;

    它的擴展能力十分驚人;

  • it doubles in size every hour.

    每小時,它的大小就會變成兩倍。

  • But there’s one opportunity:

    但,有一個機會:

  • after each hour, it goes to sleep,

    每小時之後,它就會進入睡眠,

  • forming itself into a flat triangle

    讓它自己的形狀變成扁平三角形,

  • and resting for a few minutes

    休息幾分鐘,

  • before it begins eating and growing again.

    接著又會開始再吃、再成長。

  • Your only chance to save the planet

    你只有一個機會能拯救地球,

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

    要用到裝在衛星上的 奈米分裂光束來將它切成兩半。

  • When the blog is active

    當怪物在活動時,只要 幾秒鐘時間它就會癒合。

  • it heals itself within seconds.

    然而,當你把在睡覺中的 怪物切成兩個三角形時,

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

    有了重大的發現。

  • you make a critical discovery.

    銳角三角形的部分,

  • The acute triangle portion,

    也就是所有的角都小於 90 度的 三角形,不再有生命力。

  • with all angles less than 90 degrees, is inert.

    它不再「醒來」。

  • It neverwakes up.”

    至於鈍角三角形,也就是 有一個角大於 90 度的三角形,

  • The obtuse triangle,

    還是一樣會醒來並繼續成長。

  • which has an angle greater than 90 degrees,

    類似的實驗結果顯示, 除了銳角三角形之外的所有形狀,

  • wakes up as usual and keeps growing.

    包括直角三角形,都還是會醒來。

  • Similar experiments show that all shapes other than acute triangles,

    接下來的幾分鐘,

  • including right triangles, will also wake up.

    怪物會以扁平三角形的 形式進入睡眠。

  • For the next few minutes,

    你可以針對三角形上 或三角形內選定的任兩個點,

  • the blob is sleeping in its obtuse triangle form.

    做到精準的直線切割。

  • You can make clean, straight-line cuts

    但當衛星在你上方可以 進行切割的時間只夠你切七次。

  • between any two points on or inside the triangle.

    當衛星完成繞行再回來時,

  • But youll only have time to make 7 cuts while the satellite is above you.

    就已經來不及阻止怪物 把整個世界吞噬了,

  • By the time it completes its orbit and returns,

    所以你萬萬不可以 讓任何一個部分醒過來。

  • the blob will have consumed the entire world,

    你要如何把怪物 完全切割成銳角三角形,

  • if even a single portion that will wake up remains.

    阻止它摧毀地球?

  • How can you cut the blob entirely into acute triangles

    [如果你希望自己 嘗試解題,請在此暫停。]

  • and stop it from destroying the planet?

    [答案即將公佈:3]

  • Pause the video now to figure out for yourself

    [答案即將公佈:2]

  • Answer in 3

    [答案即將公佈:1]

  • Answer in 2

    雖然一開始會覺得這個方法可行,

  • Answer in 1

    其實若想避免鈍角和直角, 會碰到一個隱藏的困難處。

  • While this seems doable at first,

    每當你做的切割有接觸到邊緣,

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

    就會製造出一個銳角和一個鈍角,

  • Every time you make a cut that reaches an edge,

    不然就是兩個直角。

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

    看起來似乎你注定會 一直製造出銳角。

  • That makes it seems like youre doomed to keep creating obtuse angles.

    但,就像許多人生難題一樣,

  • But as with so many of life’s problems,

    我們都能從比薩上找到靈感。

  • we can look to pizza for inspiration.

    想像一下,把比薩的外緣切平,

  • Imagine squaring off the outside of a pizza,

    它現在變成八角形,不再是個圓。

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

    當我們把它切片,

  • When we cut it into slices,

    這八個三角形都是銳角三角形。

  • each of the eight triangles is acute.

    對於邊數更多的多邊形, 這招也一樣可行。

  • This works with larger polygons too.

    重要的是,對於邊數 更少的多邊形仍然可行,

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

    包括七角形、六角形、五角形。

  • including heptagons, hexagons, and pentagons.

    那是好消息,

  • That’s good news,

    因為如果你把怪物 三角形的尖角切除,

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

    你就會得到一個五角形。

  • a pentagon is exactly what youll be left with.

    就像比薩一樣,

  • And just like a pizza,

    你可以把怪物五角形 切成五個銳角三角形。

  • you can cut the blob pentagon into five acute triangles.

    一共要切七次,結果是 怪物完全不再有生命。

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

    你拯救了世界!

  • Youve saved the day!

    現在,你只需要想辦法處理

  • Now you just need to figure out what to do

    這些巨大又無法破壞的三角形了。

  • with all of these giant, practically indestructible triangles.

A shooting star crashes on Earth,

譯者: Lilian Chiu 審譯者: Bruce Sung

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C1 高級 中文 TED-Ed 三角形 怪物 比薩 衛星 切割

你能解開不可阻擋的小球之謎嗎?- 丹-芬克爾 (Can you solve the unstoppable blob riddle? - Dan Finkel)

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    林宜悉 發佈於 2021 年 01 月 14 日
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