Squared Squares - Numberphile

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Featuring Dr James Grime.
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Комментарии

Nice flash of the Parker Square over the imperfect square at 1:24

Ryumare

"Or does it?"
"... no it doesn't."

Dreams crushed

ricarleite

*"Or does it?"*

*VSause music starts

"No."

*Music stops abruptly

Chris_Cross

A perfect squared square doesn't exist? Maybe you should let Matt Parker have a go at it! I don't think it will be perfect, but it will be at least something!

rosserobertolli

"Because they're nerds!"
Wise words from a wise man.

mysteriousinternetperson

OR DOES IT....

no it doesn't :p

-fitzy-

I like so much how Dr. Grime makes any topic clear and understandable. We want more Grime!

Icenri

I saw that Parker Square... senaky sneaky.

superstarjonesbros

Brady's entire goal with this video was to troll Matt.

idjles

So, is there an explanation for why this seemingly unrelated geometry problem happens to share those properties with electrical circuits?

tone

No cubed cubes - related to Fermat's Last Theorem?

AtomicShrimp

I love that you can easily conceive certain objects in mathematics, like that 70x70 square, that are just forbidden to exist. "So disappointing that it doesn't exist!". If he was talking about a unicorn, it wouldn't have had the same meaning. A unicorn could potentially exist somewhere in the future. Saying "unicorns don't exist" is like saying that "t-rexes don't exist". They don't exist in our immediate reality. That 70x70 squared square is impossible now, in the future and past, everywhere and forever. Yet we're capable of discussing the properties and qualities of this fundamentally impossible object.

jordantistetube

To really drive the electrical analogue home: If you imagine the rectangle ( 4:08 ) is built of a resistive material with the top and bottom edges connected to a battery with voltage equal to the height, then you are setting up a uniform unit electrical field with uniform current flowing across the whole area from top to bottom. Since there is no horizontal electric field, you can place wires along any horizontal and make any vertical cuts without affecting any current flows. Any square you cut out of the area will have the same resistance, no matter its size. With this in mind and without any change in electrical flow, a cut can be made at each vertical line, each horizontal line can have a wire with zero resistance laid over it, and each square can then be replaced with a unit resistor. Now you have exactly the same resistor network with the associated currents and voltages.

RallyRat

I love how passionate he gets and how happy it all makes him

BMBOX

James Grime came to my school a few weeks ago and when I told him I was going to be doing maths and physics at uni he said he didn't really like physics, so it's funny to see him talking about electrical circuits here

charonder