Romantic Mathematical Shape: möbius-loop hearts
ฝัง
- เผยแพร่เมื่อ 27 ส.ค. 2024
- Cutting a möbius loop in half is fun. Sticking two möbius loops together and cutting them both in half is romantic.
Much more on möbius loops and topology in my book Things to Make and Do in the Fourth Dimension:
mathsgear.co.uk...
Also on Maths Gear is the Cos I Love You card:
mathsgear.co.uk...
Think Maths parametric heart coordinates resources:
think-maths.co....
And here is my Royal Institution lecture:
• Four Dimensional Maths...
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
Music by Howard Carter
Design by Simon Wright
"This is a boring cylinder! We can do *SO* much better!"
Math with enthusiasm is one of the most sublime things in this or any universe.
I see a pair of handcuffs at 2:55. It could be argued that these are equally (if not even more) romantic than interlinking hearts!
+Robert Russell Composer naughty
+Nóra B n*****y
+Theophrastus Hohenheim Hello Internet reference?
+Nóra B
Watch your fucking language! Don't you know there are children here?
PokemonTom09 lol you asked him to watch his lenguage and you said "fucking"
If some told me you could make a square with two loops stuck together, I would have thought they where crazy until now.
I still find it crazy.
+standupmaths I just love amazing maths things that I can try myself
+STE6677 I guess you can make two loops stuck together with a square ?
pierre durand just go in reverse
@@durand95330 with a full square that would be a torus (my guess)
Remarkable! You've finally squared the circle.
Guest User Quite the Parker Square.
I *LOVE* this comment!
No, it's not.
And I thought it’s impossible
Matt also gave that lecture at my sixth form one evening. He threw his hat at me, and let me keep both the square and interlocked hearts that he demonstrated. It was a truly fantastic moment.
I hope you cherished them for weeks, minimum.
+standupmaths I think I still have them, stashed away safely. At home. Somewhere...
The nerdiest way to say your relationship is one-sided.
4ever al1
But two möbius loops make a Klein bottle when put together, so in reality, they are saying that their love is never ending.
"And he was so proud of this shape, that he named himself after it."
He obviously planned to say this, it wasn't a mistake.
Parker Square ir Morbius loop?
That's some heart-core math you got there.
I'm heart-core to the math.
Can’t believe how impressed I was with the square....... blown away by my reaction to the hearts. I love math!
Did this right now for my wife. It is really über-romantic for an engineer couple.
The story I told was made us have tears in eyes. Thanks for the idea Parker.
Footguy from Numberphile already showed us this
Whoops, I missed that Numberphile video. Thankfully I've been doing this paper demo for years. Not least of all for the Ri last February: th-cam.com/video/1wAaI_6b9JE/w-d-xo.htmlm44s
+paxpacis2 Foot guy was "Tadashi Tokeida"
+standupmaths No problem, was just surprised to see the möbius hearts again
+standupmaths I just watched that video yesterday. How very strange.
+standupmaths No you didn't.
2 möbius loops of the same type gives me a boat?! **runs off to find a pair of scissors*
Can't wait for that triangle.
Okay okay, that's even more romantic than
x^2+(y-cube root of x^2)^2=1
(Enter this in Wolfram alpha if you want to understand.)
Ok, that is pretty romantic.
+standupmaths how about this one: (x^2+y^2-1)^3-x^2y^3=0
+singingblueberry I really like this composition of 4 equations.
y1=sqrt(2x-x^2)
y2=sqrt(-2x-x^2)
y3=arcsine(x-1)-pi/2
y4=-arcsine(1+x)-pi/2
:D sneaky
+The Flagged Dragon That doesn't produce a graph in Wolfram for me :(
what is it supposed to be?
The best plot twist at 1:13 (giving new meanings to plot and twist)
Well I already know that one from your lecture in the Royal Institution. Was a great lecture!
+bl00dwork btw, what actually happens if you e.g. stick 3 loops or möbius loops together?
+bl00dwork try it. im interested in seeing what happens too
slendy9600 I will try :D
Any results yet? :P
Fluffy Llama nope didn't have the time :C
Never going to forget the wonders of the Mobius Loop. Loving the videos Matt! :)
"A boat...and a thing" I'm in tears
I saw this already from Numberphile a while ago, but the way you presented this made it far more entertaining. Thank you!
Thanks! Glad you enjoyed it.
You have cool music in your videos. Not that I watch them because of it, but it makes the maths even more cool.
Everything gets better with cool music. Even maths.
+standupmaths And there was I thinking maths couldn't possibly get any better than it already was. Tut tut tut, so oblivious.
A metaphor for my life: I attempt three times to make the hearts and instead got the weird boat thing, before giving up, watching the end of the video, and realising that I had ignored something essential.
Gotta love, how the video is 7:22 long.
7:22 ≈ 1:π. 😅
Love your videos. I could be having a terrible day but your playful and curious approach to life always puts a smile on my face. Thanks!
Glad I could help! I hope you have better days.
Seen this demonstration on Royal Institution on TH-cam, I think the title was "Things to See and Hear in the Fourth Dimension" :) Really enjoyed that video and I made some of them myself after the video as well - twas pretty cool. Your enthusiasm and curiosity are quite contagious Matt! Always enjoy the content on your videos and your sense of humor.
My wife and I did this during our wedding ceremony.
Why didnt you show boat & thing?
+Crazy drummer It's on Numberphile video!
***** Thanks!
+Crazy drummer they are easily imaginable after you saw the hearts.
+Егор Свежинцев Maybe easily imaginable for you; not for everybody.
I knew this one from the a numberphile video with Tadashi Tokeida. Thanks for the remainder, matt.
Wow, I would have never expected something like that coming out from pure math! :) Really cool!!
Briiliant entertaining explainer - you could probably explain the maths of the Einstein Field Equations and make it seem like great fun. Thank you
Finally this trick gets its own video.
I Literally geeked out over this idea yesterday when I watched your thing at the RI! It was wonderful and now it has it's own video!
Yes, I thought it was a shame to leave it buried in the middle of a lecture. So I re-filmed this bit to give it its own video.
And I am very happy you did so. I'm more amused at the timing.
You, Sir, are a delight.
Thanks Matt, I'll do this with my Wife on Valentine's day too!
I imagine she will tell me something like, " I love you, nerd" when we're done.
Holy shit I did not expect that to happen. Best pick up line EVER.
I did this for a girl and she was amazed... sadly I didn't do my research and had nothing to follow it up with. I got a smile and a giggle but when I tried to explain the math she really didn't care. :(
That was some Parker Square!
"... Not even linked together. It is a world of disappointment." 😂
(really late here, but...)
I was waiting for you to drop the Möbius Hearts at the end!
3:10 A SQUARE! A PARKER SQUARE!!
our 6th maths teacher abused us as a labour-force, and made us do a tonne of weird star things out of paper for xmas, i broke the mold however and did a couple of mobius-hearts. id learnt it from ur ri video way back when
That's the spirit!
Matt PLEASE upload the theme song to Soundcloud. I LOVE it!
Yes, once Howard and I get organised we'll put it out somewhere.
I saw this on your lecture at the Royal Institution already
Consistent video corruption at 2:18
You know what... I will subscribe! This video genuinely made me smile about a subject I've always found pretty confusing!!
I did cut the moebius strip the second time and it blew my mind. The result is three independent 8's bond together...
THIS MAN IS A WIZARD!!!!
I found the square much more exciting than the hearts tbh
I tried this when I read your book. I must not have done it right. I remember I got the "thing" result.
Why is everybody commenting that "Numberphile already did this" or even "omg you copied numberphile, how lame"?
2) People made videos about this way before Numberphile or Matt Parker
3) Matt performed this "trick" on stage / in front of a camera before Numberphile did a video about it
5) Even if Matt would've watched the video on the topic by Numberphile and then decided to make his own about it, he has all rights to do so as long as he doesn't actually copy anything
You forgot one and four.
Connor Crowley
It's supposed to be a joke:
p_1, p_2, p_3
+Garbaz I know.
+Garbaz 8) your sequence has confirmation bias, doesn't need to be prime to continue in a mathematical way ;)
Garbaz you do know that Matt Parker IS from Numberphile right?
best math teacher
haha that blew me away, you cant cut it in half!
+Jan Šinkovec a square?? this is just a rollercoaster of a video
I'm currently reading your book, and im right past the part where you urge the reader to cut the stuck together cylinders in half. Really glad i dont actually have to now.
This was just beautiful!
I love this! :) Same wonderful Möbius stuff as your talk Things to See & Hear in the Fourth Dimension.
If you can say these 4 words fast without getting tongue tied, you are a genius
1)Eye
2)Yam
3)Stew
4)Peed
awesome!! nice mobius loop!!
I just watched this on the Royal Institute two days ago lol. Awesome trick!
Hoo,Hoo, now I know what had happened when I last time tried to cut the hearts, I have failed and failed and failed, because I did not know the secret hint, one twisted right, the other twisted left. Thanks for the tips.
I now know how to make a square out of hand cuffs. @2:57
1:10 that gets me every. Damn. Time.
what a twist!
I is not as romantic unless you use your foot to help with cutting. :\
XD
oh god! XD
+lin4cba u've watched that vid
So what your saying is 2 Parker Circles divided by 2 = a Parker Square? That makes total sense!
Next video should show "a boat... and a thing". ;)
I've already seen Numberphile video but I did enjoy yours as well!
What I want to know is why you end up with a boat and a thing, instead of two boats or two things? What determines which piece is the boat and which is the thing? Hearts are great for showing off, but the "disappointing" result is the one that keeps me awake at night.
this reminds me of high school lol i did this is junior year with my ap calculus teacher mr. goodrich.
Wait for the twist!
Not sure why everyone's complaining that Numberphile has a video on this already. Two different channels are allowed to cover the same bit of mathematics...
I am definitely doing this
Dude! In your book you talk about the tesseract, and its appearance in marvel movies. Well, the mobius loop appears in Avengers Endgame! It's the shape of the band Iron Man uses for time travel! Check out the movie if you haven't noticed.
I actually just watched your video from the RI channel of you doing this exact same thing. Let's just say I got deja vu while watching this one :P Neat trick anyway :)
Feels like a déjà vu, only that i have seen this twice already
Yes, you saw this on Numberphile
I saw just hours before you uploaded this video, your talk at the Royal Institute where you do this trick :P
Whoah! A SQUARE!!!! This was awesome :)
seen it already in your 4d lecture and from someone else on numberphile!
even the same jokes as you gave during the lecture in royal institute
I'm an efficient man.
+standupmaths I agree! 😂😂😂😂
Even though you did this exact same joke in your lecture, it is still brilliant :)
Thanks. Writing new jokes is over-rated.
standupmaths :) There are no new jokes, just old jokes told to new people.
'This blew my mind'
That's exactly how I would have described it: a boat and a thing.
Superb sir
If you give that card to someone that isn't into mathematics, they might not be thrilled by the "I shart you" message.
I did not know TH-cam had heaven in it!
"He was so proud of this shape, he named himself after it" hmmmmm
I don't see anyone saying "August Ferdinand already did that"... People just like to make it well known that they watch additional math channels...
I fully support that watching of many math channels! And it was a Martin Gardner book where I first saw a möbius loop cut in half. These things go way back!
standupmaths Hehe, I fully support that too, of course. I was just a bit annoyed with all the "they already did it" comments just to promote that fact about themselves. Keep doing what you're doing!
He named himself after this! 😂
awesome vid. gonna show those hearts to my math teacher
What's that chiptune music in the outro of your videos? The description says "Music by Howard Carter", but it's impossible to search for this artist. I really like the 8bit music style and this track is amazing
+Patrick Star
Apparently they haven't released the music yet. :(
There is a comment from Matt on this video saying that...It's like the 15th comment
In time for me to test thoroughly before Valentine's Day 2017, thanks!
I remember this from your comedy routine where you spilled water on Faraday's desk.
"He named himself after it"
So he legally changed his last name to the name of a shape he created?
In the third grade of the middle school, it wasn’t all that surprising, but you can still cut a $ 100 dollar bill in such a way that an average citizen can easily get into it
"A boat and... a thing. It is a world of disappointment"
I'm dying over here!!!!!!!
he just squared the circle!
0:42
He named HIMSELF after it?..
Naviron Ghost Sarcasam.
The most romantic shape is a cardioid or the bell curve
I watched your video from The Royal Institution for an hour.
First time you did that.
Before I watched this video.
Don't worry thing and boat, I sitll like you * pats boat and thing *
combine that with amicable numbers and your evening is save ;)
"A boat and a thing" is the exact terminology i use
I remember seeing you do this last year at UCL ! :) great lecture