Can you solve the buried treasure riddle? - Daniel Griller

3,245,811 views ใƒป 2018-03-22

TED-Ed


์•„๋ž˜ ์˜๋ฌธ์ž๋ง‰์„ ๋”๋ธ”ํด๋ฆญํ•˜์‹œ๋ฉด ์˜์ƒ์ด ์žฌ์ƒ๋ฉ๋‹ˆ๋‹ค.

๋ฒˆ์—ญ: Seungjae Kim ๊ฒ€ํ† : Jihyeon J. Kim
00:06
After a massive storm tears through the Hex Archipelago,
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์—„์ฒญ๋‚œ ํญํ’์ด ํ—ฅ์Šค ๋‹ค๋„ํ•ด๋ฅผ ํ›“๊ณ  ์ง€๋‚˜๊ฐ„ ๋’ค,
00:10
you find five grizzled survivors in the water.
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์—ฌ๋Ÿฌ๋ถ„์€ ๋‹ค์„ฏ ๋ช…์˜ ์ƒ์กด์ž๋“ค์„ ๋ฌผ๊ฐ€์—์„œ ๋ฐœ๊ฒฌํ•˜๊ฒŒ ๋ฉ๋‹ˆ๋‹ค.
00:14
Shivering their timbers,
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๋‹ค๋ฆฌ๋ฅผ ๋–จ๋ฉด์„œ
00:16
they explain that theyโ€™re the former crew of the great pirate Greenbeard,
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๊ทธ๋“ค์€ ์ž์‹ ๋“ค์ด ์œ„๋Œ€ํ•œ ํ•ด์  ์ดˆ๋ก์ˆ˜์—ผ์˜ ์„ ์›์ด๋ฉฐ
00:20
who marooned them after they tried to mutiny.
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๋ฐ˜๋ž€์— ์‹คํŒจํ•œ ํ›„ ๋ฒ„๋ ค์กŒ๋‹ค๊ณ  ๋งํ–ˆ์Šต๋‹ˆ๋‹ค.
00:24
Each was bound up in a different spot on a small island,
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๊ทธ๋“ค์€ ์„ฌ ์œ„์˜ ๊ฐ๊ธฐ ๋‹ค๋ฅธ ์žฅ์†Œ์— ๋งค์—ฌ ์žˆ์—ˆ์ง€๋งŒ,
00:27
until the storm washed them out to sea.
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ํญํ’์ด ์ง€๋‚˜๊ฐ„ ๋’ค ๋ฐ”๋‹ค์— ์“ธ๋ ค๋‚˜๊ฐ”์Šต๋‹ˆ๋‹ค.
00:30
In gratitude for saving them, they reveal a secret:
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๊ทธ๋“ค์„ ๊ตฌํ•ด์ค€ ๋Œ€๊ฐ€๋กœ ๊ทธ๋“ค์€ ๋น„๋ฐ€์„ ํ•˜๋‚˜ ๋งํ•ด ์ค๋‹ˆ๋‹ค.
00:33
the island they were on is also where Greenbeard has buried his treasure hoard.
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๋ฐ”๋กœ ๊ทธ๋“ค์ด ์žˆ๋˜ ์„ฌ์— ์ดˆ๋ก์ˆ˜์—ผ์ด ๋ณด๋ฌผ์„ ์ˆจ๊ฒจ๋†“์•˜๋‹ค๋Š” ์ •๋ณด์ฃ .
00:39
But when the sailors try to describe the island, something seems off.
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ํ•˜์ง€๋งŒ ์„ ์›๋“ค์ด ์„ฌ์— ๋Œ€ํ•ด ์„ค๋ช…ํ•˜์ž, ๋ญ”๊ฐ€๊ฐ€ ์ด์ƒํ•ด ๋ณด์˜€์Šต๋‹ˆ๋‹ค.
00:44
All agree it was flat and barren with no prominent features except for some trees.
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๋ชจ๋‘๋“ค ๊ทธ ์„ฌ์ด ํ‰ํ‰ํ•˜๊ณ  ์ฒ™๋ฐ•ํ•˜๋ฉฐ ๋‚˜๋ฌด ๋ช‡๊ทธ๋ฃจ ๋ง๊ณ  ํŠน๋ณ„ํ•œ ๊ฒƒ์ด ์—†๋‹ค๊ณ  ํ•˜์˜€์ง€๋งŒ,
00:51
Yet each pirate claims they saw a different number of trees,
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ํ•ด์ ๋“ค์ด ๋ณธ ๋‚˜๋ฌด์˜ ์ˆ˜๋Š” ๋ชจ๋‘ ๋‹ฌ๋ž์Šต๋‹ˆ๋‹ค.
00:55
ranging from two to six.
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๋‘ ๊ทธ๋ฃจ๋ฅผ ๋ณธ ํ•ด์ ๋„ ์žˆ๋Š” ๋ฐ˜๋ฉด ์—ฌ์„ฏ ๊ทธ๋ฃจ๋ฅผ ๋ณด์•˜๋‹ค๋Š” ํ•ด์ ๋„ ์žˆ์—ˆ์Šต๋‹ˆ๋‹ค.
00:57
The pirate who saw two trees says the treasure was buried right at his feet.
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๋‘ ๊ทธ๋ฃจ๋ฅผ ๋ณด์•˜๋‹ค๊ณ  ํ•œ ํ•ด์ ์€ ์ž์‹ ์˜ ๋ฐœ ๋ฐ‘์— ๋ณด๋ฌผ์ด ๋ฌปํ˜€ ์žˆ๋‹ค๊ณ  ํ•˜์˜€์Šต๋‹ˆ๋‹ค.
01:02
When you fly your hot air balloon over the area to investigate,
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์—ด๊ธฐ๊ตฌ๋ฅผ ์ด์šฉํ•ด์„œ ์„ฌ์„ ์œ„์—์„œ ๋ณธ ๊ฒฐ๊ณผ
01:05
you see hundreds of small islands, each with exactly six trees.
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๋‚˜๋ฌด๊ฐ€ ์—ฌ์„ฏ ๊ทธ๋ฃจ์”ฉ ์žˆ๋˜ ์ž‘์€ ์„ฌ๋“ค ์ˆ˜๋ฐฑ ๊ณณ์„ ๋ณด์•˜์Šต๋‹ˆ๋‹ค
01:11
The next storm will be here soon,
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๋‹ค์Œ ํญํ’์ด ์˜ค๊ธฐ๊นŒ์ง„ ์–ผ๋งˆ ๋‚จ์ง€ ์•Š์•˜์œผ๋ฏ€๋กœ
01:13
so youโ€™ll have to hurry and narrow your search.
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๋นจ๋ฆฌ ๋ณด๋ฌผ์„ ์ฐพ์•„์•ผ ํ•ฉ๋‹ˆ๋‹ค.
01:16
What does the island with Greenbeardโ€™s treasure look like from the sky?
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์ดˆ๋ก์ˆ˜์—ผ์˜ ๋ณด๋ฌผ์ด ๋ฌปํžŒ ์„ฌ์€ ์œ„์—์„œ ๋ณผ ๋•Œ ์–ด๋–ป๊ฒŒ ๋ณด์ด๋ฉฐ,
01:19
And where will the treasure be on that island?
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๊ทธ ์„ฌ ์–ด๋””์— ๋ฌปํ˜€ ์žˆ์„๊นŒ์š”?
01:27
Pause here if you want to figure it out for yourself!
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01:31
Answer in 3
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์Šค์Šค๋กœ ํ’€๊ณ  ์‹ถ์œผ๋ฉด ์ž ๊น ๋ฉˆ์ถ”์„ธ์š”!
01:33
Answer in 2
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์ •๋‹ต 3์ดˆ ์ „
01:34
Answer in 1
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์ •๋‹ต 2์ดˆ ์ „
01:35
It might seem like the pirates are delirious from dehydration.
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์ •๋‹ต 1์ดˆ ์ „
01:39
But thatโ€™s not whatโ€™s going on.
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์ด ํ•ด์ ๋“ค์ด ๋ฏธ์นœ ๊ฒƒ์ฒ˜๋Ÿผ ๋ณด์ผ ์ˆ˜ ๋„ ์žˆ์ง€๋งŒ,
01:41
Remember, each was confined to a separate point on the island,
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๊ทธ๊ฒƒ์€ ์‚ฌ์‹ค์ด ์•„๋‹™๋‹ˆ๋‹ค.
01:45
and no two of them could see the same number of trees.
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๋‹ค์‹œ ํ•œ๋ฒˆ ์ƒ๊ฐํ•ด ๋ณด์„ธ์š”. ํ•ด์ ๋“ค์€ ๊ฐ๊ธฐ ๋‹ค๋ฅธ ์žฅ์†Œ์— ๋ฌถ์—ฌ ์žˆ์—ˆ๊ณ ,
01:49
That means that for all but one pirate, something was blocking their view.
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๋ชจ๋‘ ๋‹ค๋ฅธ ์ˆ˜์˜ ๋‚˜๋ฌด๋ฅผ ๋ณด์•˜๋‹ค๋Š” ์‚ฌ์‹ค์„์š”.
01:53
And since there are no other features on the island,
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์ฆ‰, ํ•œ๋ช… ๋ง๊ณ ๋Š” ๋ฌด์–ธ๊ฐ€์— ์˜ํ•ด ์‹œ์•ผ๊ฐ€ ๋ง‰ํ˜€ ์žˆ์—ˆ๋‹ค๋Š” ๊ฒƒ์ž…๋‹ˆ๋‹ค.
01:56
that something could only have been other trees.
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๊ทธ๋ฆฌ๊ณ  ์„ฌ์—๋Š” ๋‚˜๋ฌด ๋ง๊ณ ๋Š” ์•„๋ฌด๊ฒƒ๋„ ์—†์œผ๋ฏ€๋กœ,
02:01
A pirate would see fewer trees when two or more
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๊ทธ ๋ฌด์–ธ๊ฐ€๋Š” ๋ฐ”๋กœ ๋‚˜๋ฌด์˜€์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค.
02:04
fell along a straight line from their vantage point.
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๋งŒ์•ฝ ๋‚˜๋ฌด ๋‘ ๊ทธ๋ฃจ ์ด์ƒ์ด ํ•ด์ ์˜ ์‹œ์•ผ์—์„œ ํ•œ ์ง์„  ์œ„์— ์žˆ์—ˆ๋‹ค๋ฉด
02:08
So we need to find the island
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ํ•ด์ ์—๊ฒŒ๋Š” ๋‚˜๋ฌด ํ•œ ๊ทธ๋ฃจ๋งŒ ๋ณด์ด๊ฒŒ ๋˜๋Š” ๊ฒƒ์ด์ง€์š”.
02:09
where five different pirates standing in different spots
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๊ทธ๋Ÿฌ๋ฏ€๋กœ ์šฐ๋ฆฌ๋Š” ๋‹ค์„ฏ ํ•ด์ ๋“ค์ด ๊ฐ๊ฐ ๋‹ค๋ฅธ ์ ์— ์„œ์žˆ๊ณ 
02:12
would each see a different number of trees.
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๋ชจ๋‘ ๋‹ค๋ฅธ ์ˆ˜์˜ ๋‚˜๋ฌด๋ฅผ ๋ณผ ์ˆ˜ ์žˆ๋Š” ์„ฌ์„ ์ฐพ์•„์•ผ ํ•ฉ๋‹ˆ๋‹ค.
02:16
Virtually every island has a position from which you can see six trees.
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๋ชจ๋“  ์„ฌ์€ ์œ„์— ์„œ ๋ดค์„ ๋•Œ ์—ฌ์„ฏ ๊ทธ๋ฃจ์˜ ๋‚˜๋ฌด๊ฐ€ ๋ณด์ด๊ณ ,
02:21
And on most islands thereโ€™s a position where 5 trees can be seen
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๋Œ€๋ถ€๋ถ„์˜ ์„ฌ์—์„œ๋Š” ํ•œ ์ง์„  ์œ„์— ์žˆ๋Š” ๋‘ ๊ทธ๋ฃจ ๋’ค์— ์„œ์„œ
02:25
by standing in line with two of them.
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๋‹ค์„ฏ ๊ทธ๋ฃจ๋งŒ ๋ณด์ด๊ฒŒ ํ•  ์ˆ˜ ์žˆ์ง€์š”.
02:28
It turns out that the hardest locations to find are those with fewer visible trees
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๋ณด์ด๋Š” ๋‚˜๋ฌด์˜ ์ˆ˜๊ฐ€ ์ ์„์ˆ˜๋ก ์ฐพ๊ธฐ ํž˜๋“ ๋ฐ์š”.
02:33
precisely because they require more trees to line up with the viewerโ€™s position.
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๋ณด๋Š” ์‚ฌ๋žŒ์˜ ์‹œ์•ผ์— ์ผ์ง์„ ์œผ๋กœ ์žˆ๋Š” ๋‚˜๋ฌด๊ฐ€ ๋งŽ์•„์•ผ ํ•˜๊ธฐ ๋•Œ๋ฌธ์ž…๋‹ˆ๋‹ค.
02:39
So how can we see just two trees?
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๊ทธ๋Ÿฌ๋ฉด ์–ด๋–ป๊ฒŒ ํ•ด์•ผ ๋‚˜๋ฌด ๋‘ ๊ทธ๋ฃจ๋งŒ ๋ณผ ์ˆ˜ ์žˆ์„๊นŒ์š”?
02:42
One way would be if all the trees were lined up in single file,
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๋งŒ์•ฝ ๋‚˜๋ฌด๋“ค์ด ๋ชจ๋‘ ํ•œ ์ค„๋กœ ์„œ ์žˆ๋‹ค๋ฉด
02:45
such as on this island.
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์ด ์„ฌ์ฒ˜๋Ÿผ์š”.
02:47
Then, you could stand at the end of the line and see one,
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๋งจ ๋์— ์„œ์„œ ๋‚˜๋ฌด ํ•œ ๊ทธ๋ฃจ๋ฅผ ๋ณด๊ณ 
02:50
stand in the middle and see two,
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์ค‘๊ฐ„์— ์„œ์„œ ๋‘ ๊ทธ๋ฃจ๋ฅผ ๋ณผ ์ˆ˜ ์žˆ๊ฒ ์ง€์š”.
02:52
or stand anywhere else and see all six.
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์•„๋‹ˆ๋ฉด ๋‹ค๋ฅธ ๊ณณ์— ์„œ์„œ ์—ฌ์„ฏ ๊ทธ๋ฃจ ๋ชจ๋‘ ๋ณผ ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค.
02:56
But thereโ€™s no place from which you can see only three,
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ํ•˜์ง€๋งŒ ์ด ๊ฒฝ์šฐ ์„ธ ๊ทธ๋ฃจ๋‚˜
02:59
four,
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02:59
or five,
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๋„ค ๊ทธ๋ฃจ,
ํ˜น์€ ๋‹ค์„ฏ ๊ทธ๋ฃจ์˜ ๋‚˜๋ฌด๋ฅผ ๋ณผ ์ˆ˜๋Š” ์—†์œผ๋ฏ€๋กœ
03:00
so one straight line of trees is out.
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์ด๊ฒƒ์€ ๋ถˆ๊ฐ€๋Šฅํ•ฉ๋‹ˆ๋‹ค.
03:04
So what about two lines of trees?
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๋งŒ์•ฝ ๋‚˜๋ฌด๊ฐ€ ๋‘ ์ค„ ์žˆ๋‹ค๋ฉด ์–ด๋–จ๊นŒ์š”?
03:06
So long as the lines arenโ€™t parallel and they intersect over land,
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๋‚˜๋ฌด๋“ค์ด ํ‰ํ–‰ํ•œ ๋‘ ์ค„์„ ์ด๋ฃจ์ง€ ์•Š๊ณ  ์„ฌ ์œ„์—์„œ ๋‘ ์ค„์ด ๋งŒ๋‚˜๋Š” ํ•œ
03:10
thereโ€™ll always be a position where the two lines converge
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๋‘ ์ค„์ด ๋งŒ๋‚˜๋Š” ๊ณณ์— ์„œ์„œ ๋ณด๋ฉด
03:14
from which you could see exactly two trees.
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๋‘ ๊ทธ๋ฃจ์˜ ๋‚˜๋ฌด๋งŒ ๋ณด์ด๊ฒŒ ํ•  ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค.
03:17
And if theyโ€™re grouped two and four,
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๊ทธ๋ฆฌ๊ณ  ๋งŒ์•ฝ ๋‘ ๊ทธ๋ฃจ์™€ ๋„ค ๊ทธ๋ฃจ
03:19
or three and three,
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์•„๋‹ˆ๋ฉด ์„ธ ๊ทธ๋ฃจ ๋‘ ์ค„๋กœ ๋‚˜๋‰˜์–ด์ง„ ๊ฒฝ์šฐ
03:21
there are many arrangements in which you could also see three,
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๋‚˜๋ฌด ์„ธ ๊ทธ๋ฃจ
03:24
four,
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๋„ค ๊ทธ๋ฃจ
03:25
five,
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๋‹ค์„ฏ ๊ทธ๋ฃจ
03:27
and six trees.
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๊ทธ๋ฆฌ๊ณ  ์—ฌ์„ฏ ๊ทธ๋ฃจ๋ฅผ ๋ณผ ์ˆ˜ ์žˆ๋Š” ๊ฒฝ์šฐ๋“ค๋„ ๋งŽ์Šต๋‹ˆ๋‹ค.
03:29
Fortunately for us, thereโ€™s only one island in the archipelago
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๋‹คํ–‰ํžˆ๋„, ๋‹ค๋„ํ•ด์—๋Š” ์œ„ ์กฐ๊ฑด๋“ค์„ ๋งŒ์กฑํ•˜๋Š”
03:33
with two non-parallel lines of trees,
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๋‘ ์ค„์˜ ๋‚˜๋ฌด๊ฐ€ ์žˆ๋Š” ์„ฌ์ด ํ•˜๋‚˜ ์žˆ์Šต๋‹ˆ๋‹ค.
03:36
and itโ€™ll be buried at the intersection of the two lines.
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๊ทธ๋ฆฌ๊ณ  ๋ณด๋ฌผ์€ ๋‘ ์ค„์ด ๊ฒน์น˜๋Š” ๊ณณ์— ์žˆ๊ฒ ์ง€์š”.
03:41
You land on this island and dig up a chest containing a massive pile of tree seeds,
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ํ•˜์ง€๋งŒ ๋ณด๋ฌผ์ƒ์ž๋ฅผ ์—ด์–ด๋ณด๋‹ˆ,
03:47
ready for planting.
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์‹ฌ์„ ์ค€๋น„๊ฐ€ ๋œ ๋‚˜๋ฌด ์”จ์•—๋“ค๋ฐ–์— ๋ณด์ด์ง€ ์•Š์•˜์Šต๋‹ˆ๋‹ค.
03:49
Was this treasure really worth all that trouble?
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๊ณผ์—ฐ ์ด ๋ณด๋ฌผ์„ ์–ป๊ธฐ ์œ„ํ•ด ๊ทธ ๋งŽ์€ ๋…ธ๋ ฅ์„ ๋“ค์—ฌ์•ผ ํ–ˆ์„๊นŒ์š”?
03:51
Thatโ€™s a matter of perspective.
67
231610
2081
๊ทธ๊ฒƒ์€ ๋ณด๋Š” ์‚ฌ๋žŒ์— ๋”ฐ๋ผ ๋‹ฌ๋ผ์ง€๊ฒ ์ง€์š”.
์ด ์›น์‚ฌ์ดํŠธ ์ •๋ณด

์ด ์‚ฌ์ดํŠธ๋Š” ์˜์–ด ํ•™์Šต์— ์œ ์šฉํ•œ YouTube ๋™์˜์ƒ์„ ์†Œ๊ฐœํ•ฉ๋‹ˆ๋‹ค. ์ „ ์„ธ๊ณ„ ์ตœ๊ณ ์˜ ์„ ์ƒ๋‹˜๋“ค์ด ๊ฐ€๋ฅด์น˜๋Š” ์˜์–ด ์ˆ˜์—…์„ ๋ณด๊ฒŒ ๋  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๊ฐ ๋™์˜์ƒ ํŽ˜์ด์ง€์— ํ‘œ์‹œ๋˜๋Š” ์˜์–ด ์ž๋ง‰์„ ๋”๋ธ” ํด๋ฆญํ•˜๋ฉด ๊ทธ๊ณณ์—์„œ ๋™์˜์ƒ์ด ์žฌ์ƒ๋ฉ๋‹ˆ๋‹ค. ๋น„๋””์˜ค ์žฌ์ƒ์— ๋งž์ถฐ ์ž๋ง‰์ด ์Šคํฌ๋กค๋ฉ๋‹ˆ๋‹ค. ์˜๊ฒฌ์ด๋‚˜ ์š”์ฒญ์ด ์žˆ๋Š” ๊ฒฝ์šฐ ์ด ๋ฌธ์˜ ์–‘์‹์„ ์‚ฌ์šฉํ•˜์—ฌ ๋ฌธ์˜ํ•˜์‹ญ์‹œ์˜ค.

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