How to draw a regular heptagon inscribed in a circle

[@roberthorwat6747]

I enjoyed this very much. Traditional Technical drawing, on A3 or A2 paper, with 3H and 4H pencils, NEVER HB!, wooden T squares and acrylic set squares, was my absolute favourite lesson in school. Great to refresh my mind on techniques such as these. Try as I might I could never get my compass accuracy to perfectly complete the circle back to the origin. Great fun though.

[@dipakpalvankar5740]

gg🎂🎂qwwqwqwqqq😂

[@iaingill4879]

Why not HB?

[@roberthorwat6747]

@@iaingill4879 HB is only for perfect draughtsmen who never need to use an eraser. I was not a perfect draughtsman🤣

[@iaingill4879]

@@roberthorwat6747 I'm new to geometry and art - what is the best pencil type to use?

[@p4ul1w4uli]

Thank you very much for this. Economical layout and clear commentary. Gotta love geometry.

[@giogiochka5716]

This is not a regular heptagon, as already pointed out, it's only a good approximation, your title should read. Your videos are very well done and interesting to watch. Congratulations for your outstanding work.

[@rosiefay7283]

This is Albrecht Dürer's approximation.

[@ArthurGeometry]

Thanks for your information.

[@ArthurGeometry]

This is a tutorial to draw with set-squares and compass, not mathematical calculation. I already know.

[@ffggddss]

@CogitoErgoCogitoSum Actually, a heptadecagon (17 sides) *can* be constructed classically. (It's *very* complicated!) What he's attempting here, is a heptagon (7 sides), which cannot. This is, however, a pretty decent approximation, good for most practical purposes. Fred

[@davegillett7135]

@CogitoErgoCogitoSum The subtleties seem lost unfortunately. I would argue that if the construction isn't exact then the heptagon isn't a regular heptagon. . There's a wonderful book called Ruler and Compass. It explains the subject far better than I can.

[@bryantthe]

I have reported this video as "spam or misleading"

[@Caramel77788]

You are the best. After trying different gurus; you were the only one i could follow without hesitation. New subscriber. I need my geo accurate and simple. I dont want to stress out. Thanks so much!

[@WaterMelon-xt4jw]

this is way simpler than the 5 corner, wow. Anyways thank you for making this video its helps allot with math

[@SamVidovich]

A good approximation! Thank you, very nice method.

[@nikitasrivastava1552]

Thankyou from India!☆☆☆☆☆

[@SunFlower-ts9ow]

Enjoyed it so much.

[@taetaebuns]

you really saved me from my maths teacher..i really appreciate going to recommend this to everyone in my class 🤣🤣🤣🤣

[@lojainabsi8704]

Thank you, I benefited a lot from you❤

[@pdias8469]

Thanks. It’s perfect.

[@bravoromeojohn]

Varying the thickness of your compasses lead by a mere 0.2, and mine came out spot on...needle to needle 🤷 Much appreciated!

[@swapnilvirani5949]

Thanks sir its really worth for every engineering students huge thanks again

[@vincentkeya9077]

my friend you didnt try it

[@alexzuma2024.]

the side-length of a regular n-sided polygon in a unit circle is s = 2*sin(180º/n)

[@marksabol8758]

Of course, this method is not exact. The square root of 3 subtends an angle (51.32 degrees) that is very close but not equal to 360/7 = 51.43 degrees.

[@L6FT]

Thank you. That was the math I was looking for to describe why my compass doesn't get it exact to the needle.

[@habibaaamirali]

Mark Sabol i

[@ffggddss]

To put it in other terms, the side-length of a regular heptagon in a unit circle is s =2 sin(180º/7) = 0.867767478... while the length used here is s' = ½√3 = 0.866025404... The ratio is s'/s = 0.997992... So it's short by a mere part in 500. Fred

[@SurveyorEngineer]

@@ffggddss I cane up with exactly the same numbers you did.

[@baconsky1625]

You're destroying all the magic. Good job fun destroyer :(

[@bcvc3365]

Nice 👍 thanks

[@neurotheology705]

Thank you for sharing

[@bradykarriah]

This helped alot thank you

[@adrianhope4796]

I like this construction very much I have used it to create 7 sided vessels. BUT I still do not see WHY it works. Please tell me

[@calvinjackson8110]

It doesn't work. To the natural human eye it looks as if he has constructed an exact regular heptagon. But he has not and it can be proven. It is convincing to the eye, but the mathematics says otherwise.

[@hyderlatifpremji9627]

Amazing!!!🤩🤩😍😍

[@AkashNayak-gu8fx]

Thank you sir

[@jj_esturi]

Thanks for explaining me

[@Hollywood_Movies567]

Thank you

[@anukrit]

thank you !!! Helped a lot

[@mrunalsurve7263]

Thanks ❣

[@mariocrespo4883]

Good video Arthur. Greetings from Spain.

[@gurbaken5793]

It is very simple and more accurate

[@sg2657]

Lots of love from India and please make in Hindi language

[@ceciliaonyehanere9079]

Nice one. It helped me a lot. Love your explanations.👍👍👍😘

[@Jole08]

Thanks bro

[@justherenow2800]

Pretty quick accuracy, thanks

[@klebo1962]

Viva Pedro Antonio

[@Anonymous-nw3gn]

The regular heptagon is the simplest regular polygon that can't be constructed with only a compass and straightedge

[@danielegwurube6544]

exactly? because I did before with a compass and straight edge

[@alejotassile6441]

@@danielegwurube6544 kzbin.info/www/bejne/hWLWgamLp5WMeZI

[@official-obama]

@@danielegwurube6544 it’s an approximation

[@michaelkrupa131]

It's a Heptagon... Just not a REGULAR Heptagon. It's Off by 0.2%, an approximation attributed centuries ago by Albrecht Dürer, as noted by some others here, and documented here in Wikipedia: en.wikipedia.org/wiki/Heptagon#Approximation

[@JimBalter]

@@michaelkrupa131 "It's a Heptagon" Nonsense. You could pick any length for the side and then just connect the last two points regardless of their distance. But *this* construction does not create a heptagon inscribed in the circle.

[@stayfrosty5270]

This really help me a lot

[@vishnudimbar8772]

Good night sweet dream 😴😴😴

[@abdillahiosmanomar9612]

Thank u million times very helpfull

[@aniladkine998]

Thank-you for showing correct Regular heptagon

[@davegillett7135]

Have you not read the other comments?

[@official-obama]

It’s an approximation

[@gideonlapidus8996]

How can i prove this construction? Is there a proof?

[@CoolToysOfficial]

Thank you!

[@AMITKUMAR-yc1yb]

Thanks a lot sir, very easy method.

[@pintificate]

This demonstration is not accurate, and should be labelled as such. It's a nice approximation if you want to draw pretty pictures, but the radius Q-M is too large. A trap for young players. Please correct this misinformation. .

[@DarkonXBL]

🤣🤣🤣 ok

[@russellfroggatt]

Been watching EEV Blog?

[@larryshawabcelectrical]

Excellent...

[@ARC928]

Is this mathematically accurate Heptagon?

[@carnotaurussastrei2536]

No, its impossible to draw a totally accurate heptagon

[@vincentkeya9077]

no

[@michaelkrupa131]

It's a Heptagon... Just not a REGULAR Heptagon. It's Off by 0.2%, an approximation created centuries ago by Albrecht Dürer, as noted by some others, and documented here in Wikipedia: en.wikipedia.org/wiki/Heptagon#Approximation

[@davidbrahi1485]

That's wonderful

[@michaelweiske702]

How accurate is this video? A regular heptagon: l=2*r*sin(pi/7) In the video: MQ=r*cos(pi/3)=r*sqrt(3)/2 Does 2*r*sin(pi/7)=r*sqrt(3)/2? Divide both sides by r: 2*sin(pi/7)=sqrt(3)/2 Divide both sides by 2: sin(pi/7)=sqrt(3)/4 Use a calculator cause f*ck it: .4338837391...=/=.4330127019...

[@pintificate]

Totally inaccurate.

[@DarkonXBL]

@@pintificate prove it

[@michaelkrupa131]

@@DarkonXBL Proved Long Ago!

[@michaelkrupa131]

Excellent!

[@Unknown-zd8us]

I'm generation z and I'm losing my mind on this math, can y'all teach me?

[@AkashNayak-gu8fx]

Thank you so much

[@smokeythegaming8416]

Why mine came out with only 6 sides I tried it in different cm every time I draw it it has the same answer

[@official-obama]

It is not perfect

[@bhushanpatil3614]

Nice video helpfull

[@obioraivenso8518]

THANKS. VERY HELPFUL

[@KRT054]

You can not draw an accurate heptagon using your method. If you really want an accurate heptagon with 51.42857142857... degrees of accuracy then you need stacked planetary gears with ratios based on multiples of 2,3 and 5 with regards to gear teeth. No kidding!

[@TheRojo387]

Only failing mathematical idealism.

[@arvindarvindpotliya7880]

Nice to

[@Mittali]

Easy and yes, it's helpful. Thank you! ❤️😊

[@evdokiastergiannis6948]

I tried this 4 times... i'm always off a few mm.... why is this. I did it with great accuracy each time

[@Pencil0fDoom]

Because there is a difference of .11 degrees between the angle subtended by the sqrt of 3 and 360/7.

[@shanmukhaamara2972]

Drawn well bro it is easy to draw now 🤗

[@official-obama]

If you want it to be perfect then get a stamp

[@cc.7870]

At least this video save my ass on my homework like goddamn

[@official-obama]

It’s an approximation

[@exefus]

Thanks helped a lot.

[@marrabellmoon7891]

Easy

[@apunctg]

THIS IS DEFINITELY NOT ACCURATE ! ... try drawing it up in CAD ... it will give you an error of 0.8 degrees! - if you draw a circle with a 1m radius the error with this method is 1.35 cm - definitely not acceptable for engineering

[@official-obama]

It’s an approximation

[@r4_in_space]

I "discovered" another method by kind of reverse-engineering a regular heptagon and finding some relationships between the lines and I think it works, but I'm too lazy to try and prove it now (I think I'll have to use some basic trigonometry, but I'm in the 8th grade, so that's not happening). The only thing I know is that I didn't need to inscribe the heptagon in a circle to do it. Edit: the side lenght I used is arbitrary, but corresponds to about 2.95cm, so you have a sense for the scale, and I did not have a noticeable difference of inner angles from an actual heptagon. 2nd edit: I used some pithagorean theorem and quickly learned about sines and cosines and what not and it turns out my method isn't perfect as well, but I had a difference of about 0.11 degrees from the inner angle of a regular heptagon, so that's cool. Last edit: I just proved my method completely stupid and wrong just by measuring some angles. It's worse than tge one in the video, but at least it closes up nicely. And at least I learned to use sines and cossines correctly.

[@mohamedemad1400]

i don't get why there is so much math critics over here,listen to me ya all there is something called in phyiscs the common errors that is something that no matter how accurate we can get we won't ever be 100% accurate espacially when dealing with numbers for example the hour here at my country is 12:32 and if i checked my brother's phone it is 12:33 and my mother's phone is 12:30 now can someone explains to me why does that happen ??? although the seconds periods is designed equally in the three phones there still some glitches, maybe they are the same brand and the same model yet still no conclusion what is going on and we cannot decide which time is the completely 100% accurate yet it is not a big deal cause minute higher minute lower ain't that big of a deal especially when don't have any full 100% accurate methods which by it we can measure the time, another example the approxmation ratio which can includes that when you have number like 5.8777163536...we don't have time to write all of this shit but we can easily take a few three numbers from after the decimal and conclude it as the full number so the final would be 5.877 although this number is not equal to this number above the math laws consider it acceptable as in the Pi value we all now that pi equals 3.14159265359 but we only write it 3.14 and nobody complains about that and many mathematical problems uses 3.14 specifically not even 22/7 in order to solve the equations and the answer becomes this moment 100% accurate and there is also something you never asked yourselves when you were solving math limits problems which was when x was tending to 2 for example we write it 2 while it is better be known that the x wasnot actually 2 but it it was 1.99999999999999999..... still we called this x 2 and nobody asked why this because there is something called tolernce which is involved in dealing with decimals same problem you cannot just say somebody drawing a polygon wrong cause ✌decimals✌ we don't live in a perfect world we don't have perfect measurments we don't have perfect pencils to make perfect geomtrical shapes so before you want a perfect mind in order to make a perfect geomtrical figures as you want your heptagon angle to be accurately 51.4285714286 nah nah and acting like professionals and with a perfect godamn minds supply me with the perfect tools you perfect people are dealing with the you rule the world with your perfectness p.s thank you aurthur this video is great for education fun and amusing keep up with the good work and don't listen to anyone.

[@mrmaestrouk]

Wrong

[@DarkonXBL]

Y'all judging this video saying it isn't a perfect heptagon should make a video showing us how *easy* it is to draw a *perfect heptagon with a ruler and compass* . Seriously do it and I'll STFU. Geometric theory can prove perfection in numbers, but it won't show you how to do something in a practical way. This video demonstrates how to be accurate (not perfect) and practical at the same time. I'm not gonna spend 12 fucking hours drawing a heptagon just because I want it perfect.

[@official-obama]

It’s probably only possible using another tool

[@michaelkrupa131]

It's a Heptagon... Just not a REGULAR Heptagon. It's Off by 0.2%, an approximation created centuries ago by Albrecht Dürer, as noted by some others, and documented here in Wikipedia: en.wikipedia.org/wiki/Heptagon#Approximation

[@rakeshgangnaik4675]

Thank you very much ! A very very useful tip!

[@vandnaverma8960]

😊😊😊sahi hai

[@kevinhaynes9091]

I can see Pie in there...

[@rmarinov5770]

Charmed. Thank You. AND IF R = 17 > r = 13 ~ Aprxim. 7 Circles & r =13 ; ONE CENTRAL & R=17?

[@RajenderKumar-qj3yf]

👍🏾👍🏾👍🏾👌👌👌

[@neet22aspirants46]

Thanks sirrr

[@bryantthe]

this doesn't actually give you a regular heptagon.

[@moniquezan2637]

Why

[@bryantthe]

@@moniquezan2637 it's an approximation. One of the sides is longer than the others.

[@mariuzz3426]

thanks

[@mariolegaspi681]

I TRIED IT 5 TIMES, BUT I'M ALWAYS OFF A FEW mm.

[@soebredden]

only for SMALL heptagons!!

[@SimchaWaldman]

Somehow I believe I'm going to fail again, just like all my previous attempts with another method. Too bad this is a comuter animation.

[@oldestdream2038]

Thank you so much (≧∀≦)ゞ

[@lakshaysethi9106]

Teri video se mera hexagon ban gaya

[@ultracreador]

Bueno, regular no es. 😢

[@mosuaibemansury1724]

Jo aap ne circle banaya hai uske kiya naap hai

[@542shivanithakur4]

All lines are not equal

[@SH-um9lu]

Sorry to say, but in this way you don't construct a regular heptagon. See en.wikipedia.org/wiki/Heptagon

[@ArthurGeometry]

Yes, it's only an aproximation.

[@zim354]

Tabbed

[@anthonybond806]

perfect english Oxford XD

[@kevinklemz163]

the smaller you go , the more off it is.No use to me.Thanks for wasting my time

[@sumayyasumayya7282]

😁😆🙄

[@zim354]

Dakdake abot Obet mo

[@artist-mimie]

Time wasting

[@allenpryortube]

51 and 3/7 degrees. how to... hmm...

[@zim354]

Iyot tako?

[@elliejohnson2786]

"And finally we will close our pentagon from G to A" 3:52

[@official-obama]

Pentagon

[@jagadeesh6485]

Draw with hand and upload

[@jehvmcdonald4887]

Thank you

[@shivdinvishesh1473]

Thanks sir

[@muhammedbilals5137]

Thank you sir

[@bunujojobabu107]

Thanks sir