How round is your circle?! www.howround.com

This is a compilation of videos from my book, "How Round is Your Circle?". More information is available from www.howround.com

[@Chrnan6710]

I still don't know how round my circle is.

[@usern4me0]

The square hole thing is bullshit because it never actually hits the corners

[@NRVulture]

+Sean LaMountain I was having the same thought as you until I noticed the drill is going on a square pattern thingy

[@Theskitch26channel]

+Sean LaMountain that's actually how they drill square holes...

[@heyyicu]

+Sean LaMountain You're looking at the wrong area. It drills a square hole, it is not a square hole itself. Look at the part protruding from the box. It is moving in a square motion (the little drill bit).

[@sangwinc]

Sean, it does hit the corner. Either trust me or check the maths your self ;-)

[@MaGaO]

+Chris Sangwin Sorry, but it doesn't in your video. I have watched it at 0.25x and it doesn't touch the corners. It drills something very close to it but not a completely square hole.

[@amenableme1832]

I don't see why these guys aren't super popular, I found them on iTunes, they have like no traffic. Incredible vocals, I'm tearing up a little.

[@joshuawheeler8743]

There was no sound. Still watched this random recommended video

[@alyssamsipe9123]

same

[@PastenTube]

+Joshua Wheeler same

[@uwu-ww5dc]

Why Am i watching this right now

[@alyssamsipe9123]

I dont know what this is but I watched it

[@clelandiosefa7680]

Same

[@paulbottomley42]

Those constant width solids are beautiful.

[@roger201288]

Not sure what was going on with that two tip tetrahedron

[@SYQmusic]

roger201288 Yeah, whats that besides looking like a triangle falling over?

[@-danR]

It has an intermediate 'stable' state, depending on from _where_ you release it. If it's released by its higher apex, it falls to the intermediate position before it falls down flat. From the bottom, it just falls over.

[@roger201288]

holy shit man how did you know?? thats fucking awesome.. now i see

[@strangelyjamesly4078]

Solids of Constant Width is the best name ever for a Prog Rock band

[@kingflynxi9420]

Godawful prog rock

[@BBlaze.]

'' This is a compilation of videos from my book, '' What?

[@TheHideout0]

B. Blaze Hey, did you had in mind when you posted this that you were like - letting a print, and peoples years later could still see and answer to this comment ? that's goddamn badass.

[@trinarystarsystem]

the solids of constant width blew my mind

[@maroneill]

Loved it. The rotation to straight-line movement things were the best.

[@GreedyRadish]

How did I get here? KZbin why?!

[@TimJSwan]

How do you tell KZbin to un-recommend you a video? I've already seen this stuff.

[@dadneeds]

+Tim-J.Swan Channel account settings clear

[@puttemacguff7666]

+Tim-J.Swan I have been blocking this channel many times but youtube thinks it's funk to play with my minde so they put it back in my recomended folder over and over again.

[@gimmie55]

+Tim-J.Swan on the thumbnail click the 3 grey dots then click not intrested

[@RichardBronosky]

+gimmie55 +Christopher Kim I don't see these 3 dots. Can you post a screenshot? I'd LOVE to be able to get rid of some of the recommendations I never want to click. Sometimes I click them just so they will go away.

[@GraveUypo]

+Tim-J.Swan it's impossible. you can pick "not interested -> i've already watched this" as many times as you want, youtube will still continue recommending videos you've already watched. the algorithm is made entirely for maximizing profits, not to make your experience better. youtube sucks.

[@theniq9001]

The two-tip tetrahedron absolutely BLEW MY MIND!

[@TheRealDeathSheep]

that is the mechanism that allows the drill (that that is part of) to drill a square hole. Thats why it is sitting on a piece of wood when it shows the zoomed out bit

[@fuflang]

I still don't think that thing would truly drill a square hole...

[@-danR]

Yeah, I notice nothing touches the corners.

[@fuflang]

lol its basically just a piece of metal rotating in a block of wood, like you said it doesn't hit the corners and it wouldn't pivot like that in a pliable surface, rather, it would drill a circular (or whatever shit shape) hole.

[@jackmajordesync1734]

fuflang if you watch at the 3:10 mark, you can see the rounded triangular part is not the cutter, but in fact part of the mechanism.There is an extrusion coming out of the rounded triangular part that is the cutter.

[@jackmajordesync1734]

score that cut enough and you end up with a hole, that's how drills work

[@fuflang]

Jack McWaffle a true drill has a rotating cutting tip.. this doesnt. Not to mention it wouldn't fill out the square it's outlining..

[@LarryTL]

Someone explain the two-tip tetrahedron part please? All I see is a triangle falling sideways.

[@meowingmono]

ikr

[@pyromstr]

+Larry Sigman The first time it fell it rolled onto its tip before falling over. Second time it fell over without rolling first. A bit pointless but there you go.

[@N00Br101]

Lol, when i got back and re-watch it i laughed SO hard!

[@mevanz]

Totally useful for mountain/motor bike rear suspension. The linkages let the rear wheel travel in an arc, but compresses a shock which can only be compressed along a straight path.

[@JBerg_]

anything will roll as long as it`s center of mass remains in a straight line while rolling

[@bebop777]

How did I get to this dark corner of the internet

[@jumbo6498]

I have ask myself this every day and every night for the last nine years. I have put blood, sweat and tears into contemplating the circularity of my circle and I finally thought I had found the answer to my questions. Nope, my circle's circularity is still most definitely in question.

[@andrewtomasi7372]

From someone who has shared in this very doubt, You're circle will reach maximum circularity when the radius is constant all the way around. Let that be your guide, and may you reach that ultimate level of inner peace achieved only by those who know to what degree of trigonometric perfection their circle appertains.

[@10231898]

Love the Dudeley's dissection especially. Those hinges are fascinating with the perfect preparation of the four wooden pieces that end up as a triangle ... the next viral toy gift for "dummies." Another one reminded me of Jacob's ladder. Thanks for your careful videos.

[@Schnozinski]

Chris Sangwin: "What's deinterlacing?"

[@mikebrodeur12]

+Baba Yaga Princeton university can figure out how to draw a straight line using hinges and brass rods but cant de-interlace an .avi file. Lol.

[@ActuallyDavid]

What's with the interlace? It's distracting.

[@flash001USA]

Back in the early 70's I used to see those shapes floating in mid air along with many colorful traces and flashes but that's another story for another time.

[@fizzley19]

those straight line linkages are pretty cool

[@mikedang3613]

Why am I here

[@robyca92]

+Mike Dang Nice question ...

[@stranger534]

+Mike Dang Nice i love philosophy

[@tristancoyote1131]

YEaahhhhh.... It's time to go to sleep.

[@ignishun]

The reason why this video is so interesting is that it creates movement through unexpected methods. Such as the linkages shown at the end. Such complex methods (yet relatively simple) through joints in metal pieces stabilises the flawed ability for humans to draw straight lines without the need of something the pen can use a direct guide to such as a ruler. The use of simple mechanisms can be incorporated for precise medical operations, intricate production of cars and ETMs, etc.

[@simonced]

the constant width objects are so cool!

[@SapkaliAkif]

Great video to watch when high 10\10

[@slap_my_hand]

3:20 ILLUMINATI CONFIRMED!

[@Yardoun]

+StarTrek123456 Fuck off, jokes dead.

[@slap_my_hand]

Anthony Lamanna no.

[@TheFringes.]

+StarTrek123456 What are you, fucking 10?

[@slap_my_hand]

That Guy With the Pointlessly Long Username That You Are Wasting Your Time Reading Right Now no.

[@yarcyk]

I got it now. But you would need many shaped drill holders like that for different sizes holes.

[@stickfigure42]

It's the little poky thing on the spinning part that moves in a perfect square.

[@tammyphxaz]

what does any of this have to do with anything???

[@rippspeck]

+Tamara Villa Waalkens Engineering. Oscillating motion. Pretty obvious, if you ask me.

[@flannel7977]

+rippspeck get roasted 🔥

[@lekunberriko1]

The important of useless things.

[@mattmcneice7223]

how incredibly unimpressive!

[@ukraine55]

Now I get it! Wow it was right in front of me.... Thanks. Great background song!

[@Stryker_can_has]

This video should be part of every discussion on interlacing.

[@hollieham7785]

BORRRIIIIIINNNNNGGGGGGGGGGGG...................................................

[@JBerg_]

it seems like this video wasn`t made for the likes of you...

[@markagustin7292]

Its boring for you because you have an attention span of a 5 year old child.

[@DirkIronside]

INTERESTIIIIIIIIIINNNNNNGGGGGG.....................

[@MolecularMachine]

What beautiful structures!

[@Kanaval89]

This is just awesome. Brings me back to dynamics and calculus 3. People obviously don't appreciate the mathematics of this video.

[@Dhoyos7]

This is wonderful!

[@Erpty05]

this is so beautiful

[@TheCaptainsAntics]

This... Is so beautiful.

[@grandexandi]

I'm not sure what I just watched, but I enjoyed it very much!

[@plutarkosky]

the soundtrack had me in tears

[@TheGoodInventor]

that was magic like there is no need to music i think that was the real music good job sangwinc

[@Basibisab]

The Two-tip-Tetrahedron seems freaking awesome!

[@Daniel39363]

The two tip tetrahedron was definitely the best one.

[@leopaschall4580]

yes! now i can know how round any circle is!

[@lisky4u]

As an engineering major, this is a cool video.

[@hatjousuke]

I never realized just how lopsided my circle was. Thank you.

[@VoidghostII]

The square hole literally blew my mind

I love this.

[@SpiritofPluto]

That's what I would call "a beautiful mind". Awesomeness.

[@supercalo79]

i loved the solids of constant width. were the people who made these geniuses?

[@TheNameIsForty]

This is realy artistic and amazing, it's good that there still are creative people uploading content to youtube, and not only games and how to's, i've seen a whole lot of this in school in mathemathics class, and i thaught i should go indepth and i found really amazing versions of sircles that still share the same math that a normal sirce would.

[@najsbajsmedmajs]

the slotted eclipses were really trippy!

[@La_sagne]

that was the most amazing thing ive ever seen... im so gonna get me one of those

[@mmmmm9872345]

Beautiful!

[@interrobang98]

I thought that for a long time, but then I just realized that the reuleaux rotor-esque thing isn't what's drilling the hole, and the hole they are talking about isn't the square that's already there. The square is the shape that's being drawn by the silver thing protruding from the curved thing. You can see it best from the second angle. 2:57

[@sept1ne]

I thought that at first myself. I think it is that it appears to form a tetrahedral shape while it falls despite only having three sides/vertices.

[@NovaCyn]

Try painting the edges with something that leaves a trace (and roll the figures over paper) the left over patterns are quite interesting

[@UlyssesKrunk]

The thing point out of it moves in a square, so it you replace that with a pencil and did in on a piece of paper it would draw a perfect squared.

[@TF8ase]

Beautiful.

[@thearmadilliestone]

Years before these became popular in 3d printing circles, there was this

[@MyLittleFantasyWorld]

When the square became a triangle. MIND BLOWN

[@FireHaze]

Hope you understand its about the tip( the smal round thing infront of the triangle thingy)

[@TheJonJC]

Before watching the video I saw your comment and my hopes was high, and was like when the hell is the music going to come in.

[@partack1]

Intriguing and thought provoking mechanisms. thank you for sharing. =)

[@tomuchfrootloops]

this looks sick

[@driverfilms]

It turns out, my circle is not as round as I originally thought it was.

[@hriscaayoma1913]

It's called a rattleback. Check out the wiki article. They're pretty neat little things.

[@cow31523]

the super egg was really cool.

[@Arscell0]

that video relaxed me!

[@dwerg1]

I constantly kept checking if my sound was enabled...

[@WesternEasternTruth]

The drilling of the square hole isn't getting all the way into the corners, it would still be a mostly round hole.

[@AsianCheeseToaster]

Oh, boy! That egg sure was super!

[@VentureTact]

We can already drill square holes, it's called a mortise.

[@redsite001]

Lol when I see the title I was like "pretty freakin round!" so I clicked on it hahaha dirty thoughts!

[@ZomgNom]

Yeah, Hart's A-Frame is pretty cool, but I tend to just use a straight-edge

[@jakenottage]

* cowers in a corner muttering something about "-i" *

[@ThibautVDP]

i like the slotted discs. shiny!

[@ThinkCleverAndSmart]

At 4.08 is how AMF did make their sweeps for their pinspotters. (bowling machines)

[@BJBlitzstein]

OK, I have a question. Someone I knew had a piece of plastic similar to that unstable polyhedron. But the curved bottom surface had angles to it like you were looking at a straight boomerang or propeller. You could spin it in one direction. But when you would spin it in the other it would wobble and shake until it ended up spinning in the opposite direction. What do you call it?

[@LovemeAquarius]

Awesome. found some fantasatic ideas.

[@Lactuca]

there are square drill bits though. A fellow named v8hatch has a video of one made by a chinese company up on his channel and there are other videos around. Theyre amazing, and significantly more complicated than what was presented here.

[@Kojak0]

For a question like that, the video showed a remarkable lack of circles - and a lot of elaborate ways of drawing a line.

[@Jago1k986]

best looking book i ever read

[@hydroman333]

I do love the "drilling a square hole." The bit doesn't look balanced and, if you actually put that thing on a drill that rotated at high rpms, it looks like it would be really, really unstable.

[@Jackcabbit]

I decided to play Chaccaron Maccaron in the background and it's actually rather amusing.

[@AZREDFERN]

If they made a universal drill bit that made square holes... i'd buy it

[@wyattsheffield6130]

they have a curvature of zero on each end, which means they can be balanced and stacked on top of one another.

[@EmdrGreg]

Excellent compilation! The thinner sides of the 2-tip tetrahedron could be wider; in the video it seems indistinguishable from an ordinary triangle. Everything else is outstanding.

[@reuelckj]

3:39 is how you check how round your circle is 3:59 and 4:28 is to check how straight your line is

[@spiderplant3]

gotta say, the two-tip tetrahedron at 2:01 really wiped the floor with the rest of them.

[@Crypt1cmyst1c]

i want to put paint on the edges of those slotted elipses and see what kind of pattern they leave.

[@Vectoriya]

oh dear.. I'm in love!!