Divide a circle into 2,3,4,5,6,7,8,9,10,11…♾️

[@ZKorvin]

Subscribe if you found this useful!

[@jamesbamber86]

♾️

[@horizonblack]

Likely the most informative video on the subject. Thank you

me encanta, la precisión es absoluta. para pasar de 3 a 6 y de 5 a 10 con prolongar las lineas hubiese sido suficiente. bravo por el canal, cada día me gusta más tu trabajo😊

[@ZKorvin]

👊👊👊

[@lindkacierach2187]

Brilliant thank you ❤

[@nicolaslaurain5785]

Merci, court efficace pratique et basique ! Soyez béni

[@НикитаЯхин-й6д]

9- уголльник - больше спасибо! Очень полезная информация! Способы, которыми я раньше пользовался были или слишком сложные в реализации, или не достаточно надёжные

[@chrislora8895]

I first watched your videos after Lou Davis recommended your instructions on geometric art. Honestly I was mesmerized, how DID you do that? And in the past few months I have watched and rewatched videos and have learned to handle a compass (watch out for the point!). I am beginning to create a few simple designs and having fun. I love the combination of lines and color and use these designs in my modest watercolor paintings. Thank you for these videos, and your time and your expertise. We all need challenges, and successes, those AHA! moments. Thank you for letting me have some.

[@jamesbamber86]

That 9 💥 is cool af bro 😎, this will be watched a few times I can tell ya thanks for your support and help so much appreciation for your work ❤🌘

[@horizonblack]

5, 9, and 11. Wow!

[@nickolayivanov670]

Теперь я знаю как поровну разделить праздничный торт, в какой бы компании я не оказался, Спасибо! =)

[@Tiger-0003]

Красота !!! 👍👍👍👍

[@StudioQuendler]

❤️✨ no coincidence ... Thanks again! 🙂

[@BORODA568]

Жаль ,что можно только один лайк !!!супер ,ты чувак очень крут!!! Спасибо за вдохновение!!!

[@Mamamia777-qcqjfdmv]

Maintenant y'as 15 👍👍👍💎

[@williampujol8778]

super vidéo et bien claire pour diviser un cercle en plein de morceaux

[@ChrisWilliamsRMWpigeon]

Geometry made Me understand division more now than it ever did before, knowing odd numbers and how they can be divided really made me look at Platonic solids in a different way, 9 and 12th star really interests me, when before all I drew was hexagons and cubes

[@nupfe]

Thanks man. As a geometry enthusiast, I have to know this stuff. I will practice this over and over again.

[@ThePaulus2010]

thanks mate! i could not figure out how to divide it into 5 sections!

[@renesperb]

These are often good approximations, but you have to know that e.g.for 7, 9,11 ,13 ,15 parts there is no exact construction with straight edge and compass . This has been known for about 200 years already. But for 17 and 257 parts there is a exact construction. In general, if n = 2^(2^p) +1 is prime ,then there is a construction.

[@dragonesque7007]

saved me, thank you so much

[@ShoshiPlatypus]

This is so cool... and all in one video too! A really useful resource. Thank you!

[@Lizathecat217]

Thank you!!!! You saved my homework!!!

[@HNly-024]

I’ve seen wood workers use this method. Very nice 👍

[@EdgeCraft144]

Great info!

[@CuB_sTaR]

Man ive been contemplating how to do the 9 for a few days so as to study the enneagram then wham! There you are... with all these extras too. Cheers dude. Cheers universe. Great channel man

[@johnfarthing4713]

Thanks , hopefully my coils will produce .

[@red2060]

Math + ASMR = 🙂

[@mikecozzi1040]

😲 Doesn't anyone remember this being taught in mathematics class in school! 😲 Thanks for refreshing my memories of deviding circles! 😲 It's been many decades and I don't think the school systems are doing good for our future generations! 🙄

[@paolazanella3823]

Thanks so much for your amazing videos!

[@thecurs3dcreator589]

Thanks 🙏

[@Mamamia777-qcqjfdmv]

Merci 👍💎 Partagez 💡🌍

[@carpenterhillstudios8327]

Intriguing. Have you worked out the proofs or are your results visual? Nice work and thinking. Would be interesting to see what you kight come up with using teh 7, 9, 11 divisions.

[@ZKorvin]

Definitely just visual, these are mainly to be used with artwork.

[@Michel-7.7.7]

Proof? Like 360÷9=40°? Or 360÷2=180°= a straight line through the center?

[@editemeskovska5613]

Very useful video, thank you 👍

[@jasperkensington2644]

3:39 BRAVO!

[@spencerjoplin2885]

Psst: it’s an approximation. 7 requires more than compass and straight edge.

[@spencerjoplin2885]

Skilled drafting technique: placing the pencil on the mark, then bringing the edge against the pencil.

[@fashizzle]

I know it's definitely not 'sacred', but can you draw the biological hazard symbol? It's got interesting geometry

[@deltoidalhexecontahedron]

You should be twirling your pencil as you draw to keep the tip sharp. It results in consistent line width/weight, and less sharpening.

[@ShoshiPlatypus]

Good tip! Thanks! (Sorry for the pun!)

[@Frankiemind]

Do you find that your pieces have an energy foot print?

[@rudhelm6721]

Not the creator of the Video: But for me they definitely have. I'll have to take a break from time to time because i feel somewhat overwhelmed when drawing.

[@franca8747]

Thank you, thank you, thank you and thank you 😅

[@feelthewyrd]

I found this ... It’s impossible to construct the angle 2π9=40∘ using a straightedge and compass. (It is possible using a marked straightedge or a ruler) The problem comes down to trisecting angles. We can trisect our circle once, giving 120∘=2π/3. Bisecting is always available so we get π/3 and π/6. But there’s no way to get 2π/9 without another trisection, which is impossible with a straightedge and compass.

[@jimbopetrella]

Are there mathematical principles being used here? I’m extremely curious about what is going on in your head while you’re making all these videos and how you’re arriving at some of the complex situations you are showing us

[@veritas5008]

Zak, correct me if I'm wrong, but do you sharpen your pencils with a penknife? It looks like it, I just wanted to know why, as opposed to using a pencil sharpener? Also, why pencils over, say, mechanical pencils? Thanks in advance.

[@ZKorvin]

There are a few reasons; 1: I'm a savage. 2: My dad always sharpened his pencil with a knife. 3: I'm yet to find a pencil sharpener that can get a pencil as sharp as a knife. I've never tried a mechanical pencil, creature of habit I guess.

[@veritas5008]

@ZKorvin Nice One. Thanks 👍

[@HSTBrownBuffalo]

Ok, so divide by 10. Then divide each of those sections by 4 by halfing them twice. That should be 40 equal sections, right? Gonna try soon just doing some research

[@Some_Guy_Called_Raven]

I need to divide a circle into 16, the angle is 22.5, do you have a method for this?

[@spencerjoplin2885]

Bisect diameter thrice: 2^4=16.

[@jozefien1702]

hi i am new to geometry, and i am practising with my compass but i keep making holes in my paper XD Is there a way to prevent that?

[@atomskreborn5740]

Thicker paper

[@eduardobustos260]

It would have been great if you had made it to number 12 at least. You know, it's a semiperfect, highly abundant and superior highly composite number because of its factors (2, 3, 4 and 6 excluding 1 and 12 itself).

[@Michel-7.7.7]

Just cut the 6 in half

[@andreavela1433]

How to divide circle into 45 equal parts without protractor?

[@fisheatinweasel]

nice

[@marieaurore3216]

Sublime

[@rudhelm6721]

I'm always off when i try to divide into 5.

[@الجزائر-ي-س]

Thanks for sharing how to roughly divide a cercle. but this is not accurate division if you want accurate one use the angles by dividing 360 by the number of segment you want will have then the angle for your segment then use the protractor.

[@ZKorvin]

I never thought to try that.

[@remyassier1758]

Great

[@StudioQuendler]

5.. isnt ready you have to Draw 10 more circles than its Fits perfectly.. 🙃

[@bendyval]

Yay I was wondering how to do this 🐒

[@ZKorvin]

Now you know mi amor ❤️

[@Must_not_say_that]

(Pi x D) divided by n is a whole lot easier.

[@leandromombach6211]

🤩👏👏👏👏

[@exemplaridade]

Practice. #Mathematics 🤔🍷☕

[@MinoF-zp3ob]

pretty nice, however, I think your way for dividing into 9 is overcomplicated. It could be much easier, for detailed instructions, see the tutorials on Arthur Geometry channel.

[@babuchkamarina]

🤓👍

[@ChrisWilliamsRMWpigeon]

Nice you ended on the 11, just keeps repeating after 12, no pun intended, so does clock, goes back to 1, this should be taught to children so they can understand the times table more Clearly

[@mauriciorivera5791]

👍

[@rchandos]

Are you claiming to have divided a circle into 9 EQUAL parts? I ask, because it would mean that you have constructed a 40 degree angle, which is known to be impossible. If you are claiming to divide the circle into equal parts, please provide a proof for each of your constructions.

[@ZKorvin]

Na I'm not claiming that, it's just for mandalas and geometric art

[@useful8869]

I do not think dividing the circle into 5 equal parts is done accurately. Mathematically speaking, when you found the 1/5th of the diameter, it was not accurately divided into 5.

[@ApertureCombine]

Not true at all, that’s a very classic pentagon construction. Though the heptagon and nonagon can’t be constructed with only classic compass/straightedge (unless he’s using some more powerful technique like neusis), but it looks like just a good approximation.

[@hercules71185]

The 7 didn't work either.

[@pikachu5188]

Using compass, ruler and Pythagorean theorum [ x^2 + y^2 = z^2 ] only. Chord = 1.1180339887 Using equation [ 2 x r x sin((360/N)÷2)] only. Chord = 1.1755705046 Difference of 0.0575365159 or Error of 4.8943% But I guess laying tiles in the roman time was done with a simple compass. Trigonometric functions like sin, cos, tan were not readily available. 🐾 _Montréal 🇨🇦_

[@GrandePunto8V]

Most not suitable for real world, engineering. For example, there is no easy and precise method of dividing by 7, that's why 7-bolt hole pattern is avoided in mechanics (it's hard to draw on drafting board and then do layout in the machine shop).

[@ZKorvin]

I'm not an engineer.

[@ChrisWilliamsRMWpigeon]

This is perfect for those to understand the symmetry of each number, and to understand not each number is whole 👍📐

[@GuruKasisabe]

TLAZOKAMATLI!!!