Name: 在數學中塗鴉。螺旋，斐波那契和植物 [1 of 3] (Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3])
Uploaded: 2021-01-14T10:28:24.000Z
Duration: 5 min 55 s
Description: 【看影片學英語】數萬部 YouTube 影片，搭配英漢字典即點即查，輕鬆掌握單字發音與用法，長久累積看電影不必再看字幕。

Voiceover:Say [unintelligible], you're in math class

Well, who knows what your teacher's talking about.

And you're feeling spirally today, so yeah.

Oh, and because of overcrowding in your school,

There's the kind where, as you spiral out,

Or you could start big but make it tighter

and tighter as you go around, in which case

Or you could start tight but make the spiral

The first kind is good if you really want

You can start with a wonky shape to spiral around

but you've noticed that, as you spiral out,

Probably something to do with how the ratio

between two different numbers approaches one

as you repeatedly add the same number to both.

kind of spiral is good for, but I guess it's

a good way to draw snuggled up slug cats,

to keep this kind of spiral from feeling useless.

You could draw a snail or a nautilus shell.

the horns of a sheep, a fern frond, a cochlea

Those other spirals can't help but be jealous

Here's one way to draw a really perfect spiral.

Make the next square fit next to both together,

This one has side length one, two, three,

Once you do that you can add a curve going

through each square, arcing from one corner

the diagonal, if you want a nice smooth spiral.

Have you ever looked at the spirally pattern

on a pine cone and thought, "Hey, sure are

There's one, two, three, four, five, six,

the other way and there's one, two, three,

four, five, six, seven, eight, nine, 10, 11, 12, 13.

Three plus five is eight, five plus eight

Some people think that instead of starting

Zero plus one is one, one plus one is two,

on the same way as starting with one and one.

Or, I guess you could start with one plus zero

Or why not go back one more to negative one

Anyway, if you're into the Fibonacci series,

I mean, you've got to know one, one, two,

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在數學中塗鴉。螺旋，斐波那契和植物 [1 of 3] (Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3])

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