The Amazing Heptadecagon (17-gon)

The Amazing Heptadecagon (17-gon) - Numberphile

Рет қаралды 1,314,092

Күн бұрын

More on the math behind this: • Heptadecagon and Ferma...
Catch David on the Numberphile podcast: • A Proof in the Drawer ...
More links & stuff in full description below ↓↓↓
Professor David Eisenbud - director of MSRI - on the amazing 17-gon and its link to Gauss.
See end of this video for a bit MSRI's address at 17 Gauss Way!
Support us on Patreon: / numberphile
NUMBERPHILE
Website: www.numberphile.com/
Numberphile on Facebook: / numberphile
Numberphile tweets: / numberphile
Subscribe: bit.ly/Numberphile_Sub
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): bit.ly/MSRINumberphile
Videos by Brady Haran
Brady's videos subreddit: / bradyharan
Brady's latest videos across all channels: www.bradyharanblog.com/
Sign up for (occasional) emails: eepurl.com/YdjL9
Numberphile T-Shirts: teespring.com/stores/numberphile
Other merchandise: store.dftba.com/collections/n...

Пікірлер: 1 700

@numberphile 5 жыл бұрын

Catch David on the Numberphile podcast: kzfaq.info/get/bejne/b99hdaqn07rdgXU.html

@elviraloiuselabas861 4 жыл бұрын

The most sides i know is the rhombicosidodecahedron it has 62 sides

@rews3873 4 жыл бұрын

@@elviraloiuselabas861 circle.

@thurlmusic 4 жыл бұрын

numberphile, what if i found something for hendecagon (11) ?

@trummler4100 4 жыл бұрын

I've tried to follow your instrictions using Geogebra Classing and ended up with something close to a (20 1/8)-agon

@2Cerealbox 8 жыл бұрын

This is like Geometry with Bob Ross.

@Geccobaer 8 жыл бұрын

+Ryan N haha, my thoughts exactly! He is just missing the "here we draw some happy little circles"-part

@M3D1C2121 8 жыл бұрын

that's exactly what I was thinking.

@caixiuying8901 8 жыл бұрын

+Bon Bon It's not intended to be an art piece tho

@bonbonpony 8 жыл бұрын

Marcello Chua Nevertheless, it serves better as a modern art piece than a geometric construction :P

@mstalcup 8 жыл бұрын

+Ryan N The result here was, indeed, a happy accident.

@EvanG529 4 жыл бұрын

"I might make some mistakes" _Eyeballs a bisector_

@RealUlrichLeland 8 жыл бұрын

This guy could be telling me that a plane is about to crash on my house and I'd still be relaxed.

@carlscabage 7 жыл бұрын

dorgesh nah you really wouldn't lol

@KoenZyxYssel 7 жыл бұрын

"So lets assume a plane is on a impact trajectory towards your house, the obvious course of action is to get out of the way but which way should you go? Now we calculate that but first we need some observations." Yep, death sentence.

@TarmanTheChampion 5 жыл бұрын

@@carlscabage whooosh

@TarmanTheChampion 5 жыл бұрын

LOL

@Intrafacial86 4 жыл бұрын

“Oh, well, after taking into account all the errors built up, looks like it’s actually crashing two streets over and four houses down.”

@6infinity8 7 жыл бұрын

- [Prof. Eisenbud] "Oh, it looks like I made a 21 polygon by accident" - [Bob Ross] "There are no mistakes, only happy little accidents"

@mercylessplayer 7 жыл бұрын

he IS the mathematic bob ross

@jekyllgaming99 7 жыл бұрын

Bob Ross's art: Simple methods, beautiful results. Professor Eisenbud explaining a heptadecagon: Ditto.

@josefmuller6070 5 жыл бұрын

Well, the Bob Ross references surely made the recommended video right under this a Joy of painting episode emeralx waters.

@majarimennamazerinth5753 5 жыл бұрын

You've got to check out Tibees peeps

@thurlmusic 4 жыл бұрын

weird, i constructed 5-gon by neusis

@lumburgapalooza 8 жыл бұрын

at first I was like "how did it take 2,000 years to work this out?" then I saw the steps required and was like "oh..."

@Scy 7 жыл бұрын

Imagine all the fails.

@dalmacietis 7 жыл бұрын

Well, for Gauss it took less than 15...

@dalmacietis 7 жыл бұрын

+Sushi Nums It doesn't really work that way. When mathematicians do straightedge & compass construction, they don't ACTUALLY have to draw everything precisely; they just have to deduce what construction would yield what result and then approximately sketch that in the picture. As long as they have understanding of what they are doing, they don't need much precision :)

@dalmacietis 7 жыл бұрын

+Sushi Nums Yeah, well you do have to be precise in your argumentation. But it's nowhere near as difficult as drawing this shape accurately ^^

@lumburgapalooza 7 жыл бұрын

dalmacietis I said "the steps required", not "the number of steps required". Complexity, not quantity. Thanks though!

@imveryangryitsnotbutter 8 жыл бұрын

"Now we draw ourselves a happy little 17-gon..."

@CharlesPanigeo 8 жыл бұрын

Did you just make a Bob Ross reference?

@imveryangryitsnotbutter 8 жыл бұрын

Charles Panigeo What if I did?

@EmergencyTemporalShift 7 жыл бұрын

I was thinking about his happy little accident.

@toadfrommariokart64 7 жыл бұрын

Emergency Temporal Shift on this show we don't make mistakes, we just make happy little 21-gons

@ns8158 7 жыл бұрын

My first thought was that he is the Bob Ross of Mathematics.

@londonalicante 4 жыл бұрын

2 and 17 are coprime. So once you have 2/17 marked you don't have to bisect it, just use your compass to count the 2/17 sized spaces round the circle and after going round twice you should get back where you started with 17 points marked.

@scottmanley 9 жыл бұрын

I'd be afraid to go near a place with the address 17 Gauss in case all my credit cards got wiped.

@AtliTobiasson 9 жыл бұрын

Interesting!

@hansguckindieluft3019 9 жыл бұрын

It´s funny how we end up on the same channels... I saw this particular video 2 days ago. Now you did. I suspect there´s some magic involved here...^^

@MikeAben 9 жыл бұрын

I saw this a week or so ago. I love straightedge and compass constructions, but pen and ink, that's hard core.

@leojciaccioii 9 жыл бұрын

dip safe!

@RealClassixX 9 жыл бұрын

Scott Manley Gauss in case? Math puns are by far the greatest of them all.

@MBogdos96 9 жыл бұрын

Man, Gauss was unbelievable. Out of this world. I've never heard of any other scientist with that many contributions in that many different fields.

@frankschneider6156 9 жыл бұрын

MBogdos96 John von Neumann ... he was probably even more brilliant and surely a lot more versatile than Gauss and no, i don't question that Gauss was one of mankind's most brilliant minds at all

@joaocandeias7093 9 жыл бұрын

Don't forget Euler!

@frankschneider6156 9 жыл бұрын

***** Yeah, to my knowledge noone else has ever published more mathematical papers than he did (not even Erdös) and like everybody i do love Euler's identy. Nonetheless i would would argue that he wasn't on the same level of genius as von Neumann was.

@984francis 9 жыл бұрын

***** And Euler was followed by Ruler (groan).

@techwithwhiteboard3483 5 жыл бұрын

Euler

@AnssiArpiainen 9 жыл бұрын

In the next video i want to see a heptadecaflexagon lol

@numberphile 9 жыл бұрын

Anssi Arpiainen that would be something

@alexroberts8755 9 жыл бұрын

MatzeGamer It's a fancy mathematician's colour-shape puzzle

@Macvombat 9 жыл бұрын

That book is quite a good read!

@Everfalling 9 жыл бұрын

MatzeGamer just google "hexaflexagon"

@bonbonpony 8 жыл бұрын

+Macvombat What book?

@NicosMind 8 жыл бұрын

I like this guy's voice. Its so relaxing. If he ever did an audio book I would sleep every time no matter the subject.

@NicosMind 8 жыл бұрын

+Andre Vargas The man has a few career paths ahead of him. He'd be great doing a narration for a documentary.

@bonbonpony 8 жыл бұрын

+NicosMind Yeah... it's so relaxing it makes me sleep ;°

@durinviirathkh-guzukh7806 8 жыл бұрын

+Andre Vargas yaaass

@Jawwnn 8 жыл бұрын

+NicosMind its called ASMR ^>^

@edge-of-the-internet 8 жыл бұрын

+NicosMind search up bob ross on youtube you will be satisfied

@Taraalcar 8 жыл бұрын

A real Parker's Square of a heptadecagon

@Azivegu 8 жыл бұрын

+Taraalcar we are never gonna let that go are we?

@NoriMori1992 8 жыл бұрын

+Azivegu Apparently not. XD

@NoriMori1992 8 жыл бұрын

A Parker-gon. :D

@EdwardNavu 6 жыл бұрын

We need a prefix for Parker's Square things. I recommend Parka- or Parko-, preferring the former over the latter. Ergo, it will have two names: Eisenbudo-heptadecagon, or Parka-heptadecagon. EDIT: Parkatetragono- is also nice, albeit a little too long.

@hansisbrucker813 5 жыл бұрын

Was thinking of this :)

@Rickmakes 9 жыл бұрын

I liked the story at the end.

@ben1996123 9 жыл бұрын

65537gon construction video please

@GothicKin 9 жыл бұрын

Thulyblu I've never knew Gauss had to be written with a scharfes S until this comment. Now I feel ashamed.

@thulyblu5486 9 жыл бұрын

Jacopo Barberis don't feel bad... the ß is of little use in my mother tongue of German... they should have gotten rid of it and replaced it with double s when they had the opportunity with the spelling reform in 1996

@GothicKin 9 жыл бұрын

Thulyblu I know it makes little sense to keep the scharfes and also reduce the words it is needed for. Get rid of it or give it a purpose. The fact is I've always studied math either in my mother language or in english and not too obviously the scharfes s was never used in any spelling. It was just curious to know that the name Gauss isn't actually Gauss. Funny enoguh, in his signature he didn't use the scharfes S but instead uses the double S.

@GothicKin 9 жыл бұрын

Double vowel or the so unanbiguosly elegant ā. How can you mistake such a clear phoneme?

@GothicKin 9 жыл бұрын

Tartaros I prefer it, too. I love forgotten and once loved letters no one likes anymore.

@DouglasZwick 8 жыл бұрын

Maybe it's just the wine, but the story at the end there about choosing to be 17 Gauss Way instead of 1 Gauss Way made me tear up. Excellent video!

@Kuoxsr 7 жыл бұрын

Same.

@peterjensen6844 4 жыл бұрын

I find it fascinating that when David says (while drawing the Hexagon) "if I make the lines a little longer, its even nicer", I can see that if you DID make them longer, you'd get a triangle. That relationship of the circle, the hexagon and then the larger triangle is amazing to me.

@jeaguilar 9 жыл бұрын

Brown paper didn't work, eh? Love the old-school ink. (I can almost smell it!)

@numberphile 9 жыл бұрын

Juan Aguilar you can smell it for real if you like... bit.ly/brownpapers

@MazeFrame 9 жыл бұрын

Numberphile Nice one^^

@jeaguilar 9 жыл бұрын

Numberphile Bid in. I feel like I should've bid 17 or at least a prime number.

@tabularasa0606 9 жыл бұрын

It's blasphemy!

@EndrChe 7 жыл бұрын

Juan Aguilar there's something lost in the old ways.

@Harlequin314159 9 жыл бұрын

I collect things like compasses and I always assumed those types of ends were meant to pinch and hold on to a bit of pencil graphite or something. I never imagined you could simply dip them, empty, into ink like that. Spectacular!

@frankschneider6156 9 жыл бұрын

Harlequin314159 same here ... i always wondered what these things in the compass sets where used for and of course used the ones with a pencil ... feel pretty dumb now ... ancient technology can be quite mysterious- curta anyone ?

@MrZelenka4th 9 жыл бұрын

Harlequin314159 with those types of ends you can get different thicknesses of lines when drafting

@0fabe0 7 жыл бұрын

So did I. My best guess was that they were intended to hold razor blades, so you could cut out perfect circles.

@tuekyndal4805 5 жыл бұрын

Harlequin314159 you must be joking right... Lol....

@maryseeker7590 5 жыл бұрын

It’s a ruler pen tip and it makes great lines with ink, paint and even masking fluid

@IKNOWITSADUMBCOMMENT 9 жыл бұрын

I think Profesor Eisenbud does some of these 'by eye' to safe time for the video,

@iyang2341 4 жыл бұрын

No way really?

@IoEstasCedonta 8 жыл бұрын

..."was Gauss a mathematician?"

@Imagine-Baggins 9 жыл бұрын

Can we have a Graham's Number-gon?

@DPlugarov1225 9 жыл бұрын

We do. It's called a circle.

@usernamenotfound80 9 жыл бұрын

Not with staightedge and compass because G_64 is divisible by 9.

@Imagine-Baggins 9 жыл бұрын

DPlugarov1225 I demand that each side be 1 cm long. Have fun constructing that...

@MrCreeperX 9 жыл бұрын

ImagineBaggins Would be physically impossible. Even if we cut up every single tree on earth, we wouldn't have nearly enough paper to even try and construct it.

@usernamenotfound80 9 жыл бұрын

***** A regular n-gon is constructible iff φ(n) is a power of 2 where φ is the Euler-φ-function. However, φ(9) = 6 is not a power of 2 and thus an enneagon is not constructible with straightedge and compass. Since 6=φ(9)|φ(n) if 9|n, neither are regular n-gons where n is divisible by 9.

@iSycorax 9 жыл бұрын

MIsspelt professor at 6:18, we do not forget.

@thulyblu5486 9 жыл бұрын

I demand the death penalty

@pete0mat 9 жыл бұрын

Nah, he's just written it not in English :P E.g. in Polish it is exactly like that: one "f", one "s" ;)

@chardeth7732 9 жыл бұрын

Wizdomtrek Well then what penalty is fit for those who misspell "too"

@pete0mat 9 жыл бұрын

TD Shamu And for those who forget about question marks? (I'm curious what mistakes I have made here :P)

@orssidia 9 жыл бұрын

Piotr Matysiak None besides using an emoticon as end punctuation.

@lawrencedoliveiro9104 6 жыл бұрын

10:23 That’s OK, we salute you for trying ... a 21-gon salute. Thank you, thank you, I’m here all week.

@bentheredonethat1350 4 жыл бұрын

Well done

@beelzzebub 4 жыл бұрын

That story about 17 Gauss way and the drawing of the construction on the front door was awesome!

@brabenetz 8 жыл бұрын

He made a mistake at 6:20. THIS is the main reason of the false result not the inaccuracy. The correct lines are in the graph at 6:45

@aok76_ 7 жыл бұрын

Indeed. I followed up with him and I failed to construct it initially. Thank you for your vital comment. :D

@nianyiwang6659 7 жыл бұрын

wow i didnt even realize it...

@olldernew6431 5 жыл бұрын

I try again and get 17-gon

@riccardosarti3234 5 жыл бұрын

Exactly, he takes one fourth of those segments but he should take one half of the string obtained from the previous string and its half point... did he do it on purpose to stimulate comments?

@aMulliganStew 4 жыл бұрын

I tried the wrong way (6:20) with AutoCad, then looked up the right way and yes, it’s the same as 6:40. Perhaps in another lifetime I’ll sit down and puzzle out why this works.

@yesandno2217 9 жыл бұрын

You know, I really loved geometry in elementary school. I never was good at math, but I was always the best in solving geometry problems, because I loved to draw with my compass and ruler. I'm now sophomore in high school and haven't been into geometry lately. However, after watching how much you love to do this it brought a huge nostalgia to me. I think I'm going to draw some things right now, thank you.

@newspaperlightbulb 9 жыл бұрын

These videos are just amazing. Where else could you see such an influential mathematician like David Eisenbud explaining a fun little geometry project?

@RLCypher 8 жыл бұрын

Perform this correctly and you can summon Bakhtak to do your bidding, allowing you to turn your enemies' dreams into nightmares.

@inkolore2 8 жыл бұрын

+Curly Fride Haha you activated my trap card

@THE1blueElephant 8 жыл бұрын

What game is this lol

@rrelrel 8 жыл бұрын

lol

@bonbonpony 8 жыл бұрын

+Curly Fride Or make a transmutation circle ;)

@MustardPipeLibrary 8 жыл бұрын

+Curly Fride Nah, that's what happens when you construct the 257-gon.

@maximilianbur2560 4 жыл бұрын

my lord his pronounciation of Gauss‘ full name was flawless

@scowell 9 жыл бұрын

Just to make it clearer, the professor makes the mistake at 6:12, where he continues dividing the line into quarters. You should proceed by dividing the segments once, extending the rays out to the arc, and dividing the angle for the final two 'quarters'... these tiny mistakes are enough to throw you off from 17 to 20-gon. Amazing when you see it work... I'm using CaRMetal, a wonderful free program.

@erwinjohannarndt4166 10 күн бұрын

The story at the end makes it perfect... I do love how Gauss shows up and goes "Hey, heres how to do a 17 drawing"....

@JoelLeBlanc 9 жыл бұрын

5:43 "I love it" - I smiled from ear to ear when David said that!

@TheMrSamusic 9 жыл бұрын

+Numberphile there's a little mistake in the construction! At 6:00 when you have the circumference whose radius is half the original radius, you shouldn't divide the segment in half and fourth, but the arc of the circumference! So the right way is to bisect the arc and then bisect it again. :) I'm telling it because I spent much time constructing this amazing 17-gon hahahahaha

@TheMrSamusic 9 жыл бұрын

@Numberphile

@psapunar 4 жыл бұрын

i agree mistake was made. this is wrong construction u need to bisect angles not lines

@philliptobin3695 Жыл бұрын

yeah i attempted to replicate this numerous times and kept getting consistent 20 or 21gon. then i looked at the whole construction at 10:29....next attempt, I made a real heptadecagon on my first try. I used 005 fineliners and it looks beautiful

@RnBoy15 9 жыл бұрын

I like this professor! It's so good to see how he loves the ink mark on paper, and condtructing geometry

@Olect 8 жыл бұрын

I love doing compass and straight edge constructions. My Euclidean Geometry class in undergrad made me fall in love. Great video!

@callummcgillivray9608 6 жыл бұрын

When I was in high-school I did basically an engineer's drawing class as one of my electives. Every now and then we had to draw pentagons which is a little bit of a process (albeit easier than the 17-gon!) but mistakes were made and it was never accurate to any degree. So I thought to myself, if we can take the radius of a circle to make a hexagon surely there's a way to make a pentagon. After about a half hour of drawing and math I came to the conclusion if you take the radius of a circle and multiply it by I think 1.76 or something you'd get really close to the length of the side of a pentagon. Using that you can work backwards too. It's nothing fundamentally groundbreaking but for me as a 15 year old it was a cool and easy way to finish my exams quicker

@acorn1014 7 жыл бұрын

11:24. What a parker square of a 17-gon.

@iabervon 9 жыл бұрын

That 17-gon on the door should normally be sufficient to get visitors within one standard deviation of the right place 62% of the time.

@MrCooldude4172 9 жыл бұрын

I don't know what you are saying, but it sounds cool.

@buca117 9 жыл бұрын

It would have been cooler if it was a real result of a calculation instead of just a mathematical jargon drop.

@oO_ox_O 9 жыл бұрын

buca117 It's not just random jargon. If you have a *Gaussian* distribution then the area (the chance) from one inflection point to the other (that's the mean minus and plus the standard deviation respectively) is indeed about 62% of the whole. Never had basic statistics?

@oO_ox_O 9 жыл бұрын

buca117 I didn't really intent to insult you, I just found it interesting that you apparently thought to be able to discern math babble from real stuff while not knowing about stuff you should learn about in secondary school (high school). But to be fair I really don't know whether they it's part of the mandatory curriculum where you are from so I am genuinely interested whether you had it. Considering how it's such an important topic, especially nowadays, I really can't really imagine that it's not, I mean how else could you even know what it means that e.g. a null hypothesis got reject with 95% certainty or what it means if the median is very different from the arithmetic mean value.

@buca117 9 жыл бұрын

o_O I covered standard deviation. I covered the normal distribution curve. I covered this material. I also am not a math person, so the fact that 62% of the normal distribution curve is found within 1 standard deviation slipped my mind, especially since I haven't touched that material in over a year and my college stats class was dumbed down to the point where I took three pages of notes the entire semester, missed a third of the classes, and still aced the class. Essentially, while this IS a Numberphile video, not only should you not assume that everyone here has a passion for math but you should also refrain from assuming that everyone has had as quality an education as you.

@Saki630 9 жыл бұрын

OMG Brady, this has got to be my favorite video. I liked how much fun he was having. The Eisenbud 17-gon would look great on everyone's walls at home at at work. I would like to see more of these int he future, then teach me graph theory.

@7zaxo 5 жыл бұрын

Very cool video and I loved the story at the end. Thanks for sharing!

@JoseyWales93 9 жыл бұрын

257-gon video please! Made me remember a very interesting homework one of my maths teachers gave me about 20 years ago: construction of 5-gon aka pentagon with ruler and compass. Since then I learned about the Gauss-Wanzel theorem...

@Septagon 9 жыл бұрын

I almost feel relevant...

@AvinashtheIyerHaHaLOL 6 жыл бұрын

It's okay. You'll get there

@bradenross4182 5 жыл бұрын

Ooof

@user-rd7jv4du1w 5 жыл бұрын

It's heptagon not septagon lol, your animations are cool tho

@timothydavies3293 5 жыл бұрын

@@user-rd7jv4du1w septagon and heptagon are both allowed

@steveneckert5288 5 жыл бұрын

I love the comparison to origami. The precision required for a construction like that is amazing.

@foolishafraid562 9 жыл бұрын

Love these videos brady, keep up the good work.

@CarnifaxMachine 8 жыл бұрын

5:30 into Heptadecagon and chill and he tells you....

@everythingexpert4795 8 жыл бұрын

I was waiting for someone to mention that

@TheYear-dm9op 8 жыл бұрын

Finally I know what that part of the compass is used for! :D

@Cadwaladr 3 жыл бұрын

This is one of my favourite numberphile videos. I keep coming back to watch it again. I suppose at some point I should try to construct a heptadecagon myself.

@elwynbrooks 9 жыл бұрын

That little end screen story was WONderful!! So sweet

@88Nieznany88 7 жыл бұрын

21-gon? take every 3rd verticle and u made 7-gon!

@maxhaibara8828 7 жыл бұрын

21-gon? divide every side by 100 and u made 2100-gon!

@bernardz2002 7 жыл бұрын

Max Haibara I dont think you can divide an angle into 100 equal parts using a compass and straighedge.

@mariosstamoulis7345 7 жыл бұрын

+Bernard Playz just believe.

@StephanAhonen 8 жыл бұрын

I repeated this construction in a piece of geometry software (geogebra) and I didn't get a 17-gon, but rather a slightly-more-than-20-gon.

@Monsolido 8 жыл бұрын

Thank you for this comment, I did it on paper as precisely as I could and got the same result as yours. The accurate version at 10:30 doesn't match the construction in the video. There's a mistake at 5:56 He divides the 2 lines in quarters. Instead you only need to divide them in half, and let the bisections intersect the circle. Then draw 2 new lines between these intersections and the middle, and finally divide these in half. I guess he missed this step..

@akaRicoSanchez 7 жыл бұрын

The diagram on the door at 13:31 also seem to indicate double bisections of the angles instead of divisions by four of the chords. With this error, the professor Eisenbud stood no chance! :)

@Ringersan2 9 жыл бұрын

3:30 A stamp from my non-existing home country, the GDR. :-) I almost felt of my chair laughing.

@ronaldlijs 9 жыл бұрын

Fantastic video, nice touch!

@madgunner01 7 жыл бұрын

the guy has the same voice tone as bob ross, I like it.

@iandonaldpaul 9 жыл бұрын

What a satisfying process to watch!

@lukewest 2 жыл бұрын

What a wonderful little story at the end!

@VienerSchnitzel69 7 жыл бұрын

Why is his voice so soothing wtf

@soylentgreenb 5 жыл бұрын

Did you ever see Bob Ross?

@RobertRussellComposer 9 жыл бұрын

Didn't quite work for me (using GeoGebra). I got just a little over a 20-gon. Could it be numerical error? Has anyone else managed to replicate it perfectly?

@ikkohmation 9 жыл бұрын

Same for me on geogebra and for another with autocad (see below). Must be a mistake.

@RobertRussellComposer 9 жыл бұрын

Either that, or it's rounding error within GeoGebra and AutoCad. I just tried it again in GeoGebra (using the inbuilt perpendicular bisector function rather than constructing all the bisections myself using just circles), and got even a little more than a 20-gon.

@thesimulacre 9 жыл бұрын

Also got closer to 20..i think there's a small error, and not the eye-balling type

@ikkohmation 9 жыл бұрын

I agree that some of the error is attributable to rounding. But I'm surpised we all (4 people) get a 20ish-gon. Should'nt we all get different polygons ?

@RobertRussellComposer 9 жыл бұрын

Still... how much fun is it just to follow along?

@allenpryortube 8 жыл бұрын

so glad I stayed for the end. that story was awesome!

@alecs8141 8 жыл бұрын

I really like this man's voice. I could listen to him talk about mathematics for hours and not get bored.

@quinn7894 5 жыл бұрын

The Eisenberg 17-gon: the early version of the parker square

@mikerich32 9 жыл бұрын

I would like to watch this video, but every time I try to watch it, an ad tries to play first, but THE AD NEVER COMES. I'M STUCK HERE WAITING FOR THE AD TO PLAY SO I CAN WATCH THE VIDEO BUT IT NEVER DOES AND I'VE BEEN TRYING FOR FIFTEEN MINUTES NOW AND THE VIDEO SEEMS REALLY INTERESTING AND I WANT TO WATCH IT BUT IT WON'T LET ME!!!1!!1!one1!

@Cyberspine 9 жыл бұрын

Psst... google AdBlock

@thulyblu5486 9 жыл бұрын

ghostery plugin for firefox also does the trick perfectly

@mikerich32 9 жыл бұрын

i was on my phone lol but, i did finally watch it like 5 minutes after i posted that comment haha

@dave2.077 2 ай бұрын

im so glad i looked this up again this video is straigt up beautiful

@davezinn6810 9 жыл бұрын

That was a wonderful presentation. Thank you very much.

@SamuelEstenlund 9 жыл бұрын

I'm a little sad this video wasn't 2 seconds shorter...

@thulyblu5486 9 жыл бұрын

it could have been 17:17 ... so many missed opportunities

@DC-zi6se 5 жыл бұрын

For beauty and volume: Euler For impact: Newton, Leibniz, Lagrange For range: von Neumann For insight: Riemann, Cauchy ... For all of the above: GAUSS, the smartest person to ever live, dwarfing the likes of Newton, von Neumann and Archimedes, in my view and yes all the other ones mentioned were abnormally talented.

@d.campbell3080 4 жыл бұрын

Gauss's construction of the 17gon is absolutely beautiful. It would make a lovely painting.

@triggamusician 4 жыл бұрын

Amazing story there at the end! I love it!

@stubbydoughnut9100 9 жыл бұрын

So why exactly is he doing these "by eye"? It's still unclear to me...

@vintagestuffguy1998 9 жыл бұрын

If only the video would explain it several times...

@tupples3326 9 жыл бұрын

TheVintageStuffGuy1998 I think Niko was sarcastic :P

@vintagestuffguy1998 9 жыл бұрын

***** So was I! :D

@Sp1derFingers 9 жыл бұрын

TheVintageStuffGuy1998 some people just can't handle layer 2 sarcasm

@vintagestuffguy1998 9 жыл бұрын

Needs to level up... Gain a few more Exp...

@tomaspabon2484 7 жыл бұрын

Dude,this guy is more stoned than I am

@mrautistic2580 9 жыл бұрын

Thanks for an excellent video!

@TheCodingDuck 9 жыл бұрын

I always loved compass and ruler drawings! It is so pleasing to be able to see the math behind the polygons we draw everyday!

@kyanleong8014 2 жыл бұрын

“The polygons we draw everydy” do you draw 17-gons every day?

@TheCodingDuck 2 жыл бұрын

@@kyanleong8014 Each day in the past six years, I wake up, make some coffee, and draw a 17-gon on paper.

@givememore4free 9 жыл бұрын

This guy should not moonlight in a PIZZA SHOP because it would take him all day to cut a pizza. I think he would have a stroke if I asked him to make 13 slices in the pizza

@thulyblu5486 9 жыл бұрын

I'm trying to imagine cutting pizza with a compass

@faokie 9 жыл бұрын

He would just do it by eye.

@DvDick 8 жыл бұрын

the "gold and blue star" is albireo

@U014B 3 ай бұрын

I thought they were the pale ones with pink eyes?

@FelixSalazar 9 жыл бұрын

The story of the end of this video is extremely cool. Thanks Brady.

@FelixSalazar 9 жыл бұрын

I gotta try this. I feel like a n00b. I only drew a 5-gon and a 7-gon when I was in primary school

@TheNumberScott 9 жыл бұрын

Loved the story at the end about naming the street almost more than the main video!

@nesultimate3854 8 жыл бұрын

Anyone else see Pacman getting brain freeze from a little ice cream cone?

@mikeFolco 8 жыл бұрын

The Bob Ross of math

@ingridbirenbaum8184 9 жыл бұрын

This is a beautiful construction. Thank you very much!

@edzizayari6037 8 жыл бұрын

I feel so relaxed after watching this, the video has some kind of hypnotic effect or something

@KayvanAbbasi 9 жыл бұрын

6:13 "Professor" is missing an 's'. That does not take anything from the great value of your awesome videos though, which I try to follow every chance that I get. Thank you all for making this beautiful channel. Warm regards, Kayvan

@NoriMori1992 8 жыл бұрын

I'll call it the Eisengon! :D

@vhammer 7 жыл бұрын

Love the little story at the end.

@fonaimartin98 8 жыл бұрын

Using the 2/17 of a heptadecagon is also applicable. Going around the circle with it will mark all of our points. (Provable using abstract algebra, unless the numerator and the denominator does not have common divisors.)

@JLConawayII 9 жыл бұрын

I don't like heptadecagons, I think they're pretentious.

@thulyblu5486 9 жыл бұрын

Exactly! Hexadecagons are way cooler.

@CharlieInDaUK 9 жыл бұрын

Prefer pentadecagoneps

@martijnvanloocke3749 9 жыл бұрын

Never trust a deceptigon

@NFITC1 8 жыл бұрын

+JLConawayII All primes are pretentious.

@dougr.2398 4 жыл бұрын

Perhaps the pretension is in your presumption!!

@pythor2 9 жыл бұрын

Why is it impossible to make a 21-gon?

@thulyblu5486 9 жыл бұрын

... it's already _gon_ before you start... * badumtsh *

@gianma93 9 жыл бұрын

Gon, 21-gons 🎶

@robosergTV 9 жыл бұрын

why is 2+2 is NOT 5? Because

@TacticusPrime 9 жыл бұрын

Well, they didn't go into the maths on how Gauss discovered how to produce a 17-gon with just a compass and straight edge. It must be a property of that.

@Hecatonicosachoron 9 жыл бұрын

If you use neusis to trisect an angle you can construct the regular icosihenagon (or henkaieicosagon if you want to be very classical) from the regular heptagon.

@fizixx 6 жыл бұрын

He is one of my favorite Numberphiles!

@juanadam3810 8 жыл бұрын

loving this

@NickPappas-NP 8 жыл бұрын

Shouldn't it be called decaheptagon? 17 in Greek is decahepta not heptadeca (Same for all n-gons with 13

@eblackbrook 5 жыл бұрын

When you say "17 in Greek is decahepta" do you mean modern Greek or Ancient greek? Could it be possible that this changed between the two? (And if so, the why of that would be another interesting story.)