Area of Koch snowflake (part 1) - advanced | Perimeter, area, and volume | Geometry | Khan Academy

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Starting to figure out the area of a Koch Snowflake (which has an infinite perimeter)
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[@HandsomeDevil456]

my brain fried trying to solve this on my own without watching. But I was able to condense it down on my own to the (4/9) pattern at the end of the video, which made me happy. I have no idea how to solve geometric series though so I'll have to watch that.

[@Joel.Coburn]

Keeping it as simple as I can, think of it this way. If you were to draw Koch's Snowflake on a piece of paper, you would only need one piece of paper, but you would need infinite pens.

[@hamsteria12]

this was my geometry project! don't worry, i cited my sources!! thanks khan academy!!

[@3thericOfficial]

There are many different interpretations of how to pronounce it, you could say that if civilization just kept progressing and people just kept reproducing,you could say there would be an infinite number of interpretations on how to pronounce Koch. I pronounce it Kach.

[@3thericOfficial]

It would seem that if you base the physical mathematical work around the Koch Triangle that the equations would go on forever, and take on the form of a spiral and at some point lead to what would look to be a fractal itself. Although it does have a center that contains another actually infinite figure.

[@DD4ever2gether]

2:48 The triangle can be liken to David's star. :3

[@clairebeanbagchair]

You should put links to the previous as next video in each video so people can follow the videos order if they are just searching for a specific subject.

[@ggmm117]

Love these Geometry Vids. Great Work. Can you do specific videos on polynomial functions/ and Transformations of Polynomial functions later on?

[@shiverello6109]

Very useful, thanks a lot!

[@chinmaykrishna2347]

The perimeter is actually (3s + 2s + 4/3 s + 8/9 s .....) which equals 9s

[@jerfersonmatos28]

Does it really have to be near the beginning of the geometry playlist?

[@DanielFrostable]

If this Koch triangle were to be placed upside down with point on origin where is the asymptote/ or are there an infinite number of asymptotes along the finite area of Koch's triangle?

[@AlessandroZir]

interesting indeed!!!! many thanks; 🤸🤸🤸🤸💋

[@endtimes_creator2235]

the equation i was working on to solve this was 1+1/3+1/3((4/9)+(4/9^2+(4/9)^3...)

[@DavidKeys]

Koch is usually pronounced in English like Coke. The correct German pronunciation has a more guttural sound at the end, like the Scottish "loch", I think.

[@loucyphersamot4854]

not "coke", rather short open o like to "hop" and right, the guttural end like scottish loch or j en spanish Jalapeño. seems that Koch got a German nobility rewarded, von (pronounced like Spánish don with an f in the beginning) means "of" , predicate of nobility given by German emperors before 1918 and maybe similar given in Sweden (I do not speak Swedish but German is basically the same pronounciation of the letters)

[@ilovedancingxoxo1]

Well, I've got a question now. If a Koch Snowflake, or any fractal, has infinite parameter, shouldn't is also have infinite area?

[@HellaPerformance]

NOPE! That's the beauty of calculus :) (One of the many beauties of calculus)

[@kenmeyer100]

just say 'cook' , because that's the english translation of Koch. English speakers don't have an appropriate sound for 'ch' in their pronounciation repertoire

[@saminm1]

First Love you even before watching the video

[@jerfersonmatos28]

amin mozel you stopped loving him after watching the video

[@karthiky00]

No it has a limit :)

[@SalsaTiger83]

@dkeys214 you think correctly... But then again you wouldn't like how we Germans pronounce English words either ;-)

[@kairu_b]

Noice 😉

[@muhittinselcukgoksu1327]

Teşekkür ederim.

[@vwlz8637]

Keep confusing S for surface area.

[@onesandzeroes]

"I know I'm mispronouncing it" in each video. What's stopping him from checking it?

[@SB-fo7em]

Lol ikr

[@canadiannuclearman]

I believe it's pronounced like coke

[@kthanksbyeman2]

It is pronounced "cock"...made my maths lesson a bit better

[@elischaediger6845]

That is wrong i am sorry. The right pronounciation is Koch

[@onesandzeroes]

I'm sorry, but your comment is absurd. You could just as well say that there are countless interpretations on how to pronounce Einstein, and you happen to pronounce it Aynshteen. It reminds me of a Monty Python skit where Graham Chapman says "It's spelled Raymond Luxury Yacht, but it's pronounced Throatwobbler Mangrove". When pronouncing foreign names you're supposed to try to approximate the original, not to give your own interpretations.

[@slipperyjack007]

3rd