Can you solve the alien probe riddle

你能解開外星人探索之謎嗎

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The discovery of an alien monolith on planet RH-1729 has scientists across the world racing to unlock its mysteries.?

Your engineering team has developed an elegant probe to study it. The probe is a collection of 27 cube modules capable of running all the scientific tests necessary to analyze the monolith.

在 RH-1729 星球發(fā)現(xiàn)的 外星巨石碑使全世界的科學(xué)家們 競(jìng)相致力于解開它的秘密。

你的工程團(tuán)隊(duì)研發(fā)了一種 精良的探測(cè)器來研究它，該探測(cè)器由 27 個(gè) 立方體模塊組合而成，能夠運(yùn)行所有分析 巨石所需的科學(xué)檢測(cè)。??

The modules can self-assemble into a large 3x3x3 cube, with each individual module placed anywhere in the cube, and at any orientation. It can also break itself apart and reassemble into any other orientation.?

Now comes your job. The probe will need a special protective coating for each of the extreme environments it passes through.

這些模塊可以自行組裝成 一個(gè)的 3x3x3 大立方體，其中每個(gè)獨(dú)立模塊可任意方向放置在立方體的任意位置。它還能自行解體， 以任意方向重新組合。

現(xiàn)在是需要你做的工作：探測(cè)器需要特殊的保護(hù)性涂層，使它能順利通過各種極端環(huán)境。

The red coating will seal it against the cold of deep space, the purple coating will protect it from the intense heat as it enters the atmosphere of RH-1729, and the green coating will shield it from the alien planet’s electric storms.?

You can apply the coatings to each of the faces of all 27 of the cubic modules in any way you like, but each face can only take a single color coating.

紅色涂層可使它密封， 不受深空低溫的影響，紫色涂層將在探測(cè)器 進(jìn)入 RH-1729 星球時(shí)，保護(hù)它免受高溫影響，而綠色涂層則將幫助它 抵御外星球上的電子風(fēng)暴。

你可以按你喜歡的方式，給 27 個(gè)立方體模塊的 所有面都覆上涂層，但每個(gè)面只能涂一種顏色。

You need to figure out how you can apply the colors so the cubes can re-assemble themselves to show only red, then purple, then green.?

How can you apply the colored coatings to the 27 cubes so the probe will be able to make the trip??

Pause here if you want to figure it out yourself.

你需要計(jì)算出如何涂色，才能使立體模塊重新組合后， 大立方體能呈現(xiàn)全紅、然后全紫、最后全綠的模樣。

如何給 27 個(gè)小方塊涂色，才能使探測(cè)器順利完成這次旅程呢？

[若想自己解題，請(qǐng)暫停播放]

You can start by painting the outside of the complete cube red, since you’ll need that regardless.?

Then you can break it into 27 pieces, and look at what you have.

There are 8 corner cubes, which each have three red faces, 12 edge cubes, which have two red faces, 6 face cubes, which have 1 red face, and a single center cube, which has no red faces.

你可以先將整個(gè)立方體的 外部涂成紅色，因?yàn)闊o論如何你都需要它。

接著，拆成 27 個(gè)小塊， 看看它們是什么樣子。

有 8 個(gè)角上的方塊， 每塊都有三面涂成了紅色；12 個(gè)邊上的方塊， 每塊有二面是紅色的；6 個(gè)表面的方塊，只有一面紅色；以及 1 個(gè)沒有紅色面的中心方塊。

You’ve painted a total of 54 faces red at this point, so you’ll need the same number of faces for the green and purple cubes, too.?

When you’re done, you’ll have painted 54 faces red, 54 faces green, and 54 faces purple.?

That’s 162 faces, which is precisely how many the cubes have in total.?

So there’s no margin for waste.?

If there’s any way to do this, it’ll probably be highly symmetrical.?

Maybe you can use that to help you.

此時(shí)你共計(jì)涂了 54 面紅色，因此綠色和紫色立方體 也需要相同數(shù)量的面。

完成后，你將有 54 個(gè)面涂紅色，54 個(gè)面涂綠色，還有 54 個(gè)面涂紫色。

這 162 個(gè)面正是此立方體 擁有表面數(shù)的總和。

因此，也并沒有浪費(fèi)的余地。

如果有任何方法做到這一點(diǎn)， 它可能是高度對(duì)稱的，也許你可以利用這點(diǎn)。

You look at the center cube. You’d better paint it half green and half purple, so you can use it as a corner for each of those cubes, and not waste a single face.?

There’ll need to be center cubes with no green and no purple too. So you take 2 corner cubes from the red cube and paint the 3 blank faces of 1 purple, and the 3 blank faces of the other green.

先看看中心的方塊，最好涂成三面綠、三面藍(lán)，這樣你可以把它作為立方體的角，同時(shí)一個(gè)面也沒浪費(fèi)。

還需要各有 1 個(gè)無綠色 或者紫色的中心方塊，所以，從紅色大立方體上 取 2 個(gè)角的小方塊，然后把剩余三個(gè)面涂成紫色，再把另一塊的剩余三面涂成綠色。

Now you’ve got the 6 face cubes that each have 1 face painted red. That leaves 5 empty faces on each.?

You can split them in half. In the first group, you paint 3 faces green and 2 faces purple; In the second group, paint 3 faces purple and 2 green.

Counting on symmetry, you replicate these piles again with the colors rearranged. That gives you 6 with 1 green face, 6 with 1 red face, and 6 with 1 purple face.

你有 6 個(gè)正面方塊只有一面涂紅，每個(gè)留有五個(gè)空面。

你可以把它們均分成兩組，把第一組 3 個(gè)方塊的三個(gè)面涂綠、兩面涂紫；第二組中，則是三面紫和兩面綠。

基于對(duì)稱性，你更換顏色并復(fù)制上述 6 個(gè)正面方塊的規(guī)律進(jìn)行涂色，最后得到 6 個(gè)一面綠色的方塊、6 個(gè)一面紅色的方塊、和 6 個(gè)一面紫色的方塊。

Counting up what you’ve completely painted, you see 8 corner cubes in each color, 6 edge cubes in each color, 6 face cubes in each color, and 1 center cube.?

That means you just need 6 more edge cubes in green and purple.?

And there are exactly 6 cubes left, each with 4 empty faces. You paint 2 faces of each green and 2 faces of each purple.?

And now you have a cube that’s perfectly painted to make an incredible trip.

數(shù)一數(shù)已經(jīng)涂完的方塊，會(huì)看到每個(gè)顏色有 8 個(gè)角落方塊、6 個(gè)邊緣方塊、6 個(gè)表面方塊、和 1 個(gè)中心方塊。

即你只需要另外 6 個(gè)綠色 和 6 個(gè) 紫色的邊緣方塊。

正好還剩 6 個(gè)方塊未涂完色， 每個(gè)方塊有 4 個(gè)空面。把方塊的兩面涂成綠色， 另兩面涂成紫色。

你會(huì)得到一個(gè)完美涂層的立方體， 去完成不可思議的旅行了。

It rearranges itself to be red in deep space, purple as it enters RH-1729’s atmosphere, and green when it flies through the electric storms.?

As it reaches the monolith, you realize you’ve achieved something humans have dreamt of for eons: alien contact.

它在深空中可把自己變成為紅色，當(dāng)進(jìn)入 RH-1729 星球的大氣層時(shí)變成紫色，飛行穿梭在電子風(fēng)暴中時(shí)變成綠色。

當(dāng)它到達(dá)巨石碑時(shí)，你意識(shí)到你們實(shí)現(xiàn)了 人類長(zhǎng)久以來的夢(mèng)想：接觸外星人。