Name: Imagining Numbers as Shapes - Numberphile
Uploaded: 2020-03-27T18:00:46.000Z
Duration: 6 min 28 s
Description: Thousands of YouTube videos with English-Chinese subtitles! Now you can learn to understand native speakers, expand your vocabulary, and improve your pronunciation...

- I've been fascinated with savants, mathematical savants.

Past continuous

young guy, 12-year-old from the United States

Actually, he did this thing on 60 Minutes

- So in this report, Jacob "Jake" Barnett

And he actually showed a way that he visualizes numbers that's different.

And the reporter didn't go into any detail.

He just said, "And this is how he sees 54."

'cause I downloaded to the HD, download 1080p,

just that picture and the number, I worked out what he'd done.

- [Simon] Let's start with the number three.

- [Brady] (laughs) Because it has three sides?

- [Simon] (laughs) It does have three sides.

But he's not interested in the sides Brady,

So, one, two, three. Now, that's really important.

So you might think three times two, six, hexagon.

It's because a hexagon, six, six is not a prime number.

Now, he wants to keep it, so what he does,

he actually puts a triangle on top of another triangle.

I don't know whether that was important or not.

Three times three, he doesn't put three triangles

Three times three, he puts triangles on the ends.

So that's why the ends, the vertices, are important.

So we've got one, two, three, four, five,

One, two, three, four, five, six, seven, eight, nine.

Okay, next time what we're gonna do is we're gonna try times three again.

So, now we've got three times three times three,

You should cotton on to how he does this now.

So now there's one, two, three, four five, six, seven, eight, nine.

But the reason why I understood this is because this is called...

So the fact is, the integers, the whole numbers,

you can write any whole number in its atomic form, which is primes.

- [Simon] So this is for the 60 Minutes report.

well, it's pretty obviously what needs to happen.

And then you need to go mm, mm, mm, mm, mm, mm.

So what's really good about this, better than just having 54,

is the fact that you can look into the number,

which is pretty cool 'cause you can look at it

and if you were shown a number, you can go,

It contains three, it's divisible by three,

not once 'cause there's another smaller triangle,

And there's another smaller triangle again,

so it's divisible by three by three by three.

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Imagining Numbers as Shapes - Numberphile

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