Why does this balloon have -1 holes?
1,302,668
Published 2021-07-30
If you are need of urgent mental health support please check for crisis help lines available in your country.
USA: www.mentalhealth.gov/get-help/immediate-help
UK: www.nhs.uk/mental-health/advice-for-life-situation…
Do check out Jordan Ellenberg's book Shape. This video was inspired by Chapter 2.
www.nytimes.com/2021/06/21/books/review/jordan-ell…
www.jordanellenberg.com/book/shape/
Support me on Patreon and I will post you a free torus balloon. I hope I don't regret this. www.patreon.com/standupmaths
Here is Sam Hartburn's geogebra file: www.geogebra.org/m/yjtjxr2n
Trouser animations thanks to:
Bentley Davis BentleyDavis.com/
Em Raymond twitter.com/techcavy
Kalina Panteleeva www.instagram.com/kalinadoescg/?hl=en
Thanks to Visual Topology & Geometry for "Punctured torus homeomorphism". • Punctured torus homeomorphism
Me cutting two joined cylinders in half way back in 2015. Good times. (At 29:29.) • Four Dimensional Maths: Things to See...
CORRECTIONS:
- When talking about the Euler Characteristic of the torus at 16:29 I say the value of zero is "only on our friend the torus" which is technically wrong. In the moment I was just talking about the sphere and the torus but loads of other shapes have an Euler Characteristic of zero. Like the cylinder.
- I'm undecided if the string method of thinking about holes at 17:04 was helpful. I could have talked about the dimension of the boundary manifold, but that felt like I was repeating the previous bit too much and wanted a different way to think about it. Not sure if this counts as a 'correction' per se, but I just needed to talk to someone about it. Thanks for listening.
- Let me know if you spot any other mistakes!
Filming and trouser sewing by Alex Genn-Bash
Editing by Michelle Martin
Graphics by Sam Hartburn
Doughnuts later eaten by Matt Parker
Music by Howard Carter
Design by Simon Wright and Adam Robinson
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
US book: www.penguinrandomhouse.com/books/610964/humble-pi-…
UK book: mathsgear.co.uk/products/5b9fa76f230ffa140094dc43
Nerdy maths toys: mathsgear.co.uk/
All Comments (21)
-
It's true. I have the world's supply of torus balloons and I'm posting them free to all of my Patreon supporters. Sign up before 7 August and get a balloon full of holes! patreon.com/standupmaths
-
"Topology is a very big area of mathematics" Yeah, but it's continuously deformable into a small area
-
“The jam inside this donut is not mathematically relevant” this might be my favorite line ever
-
Captain: "HOW MANY HOLES DO WE HAVE IN OUR AIRSHIP?!" Me: "Well first let us explore the Euler Characteristics of the..." Also Me: *Gets thrown off to my death
-
The jokes, the maths, the visual aids - I just love this video as a whole.
-
dont apologise for confusing trousers and pants, after all topologically they're the same
-
"I have bought the world's supply of toroidal balloons" sounds like the world's daftest supervillain plot
-
It took me a while to realise that you were using the balloon as a model of a sphere - my first thought was that the balloon was in essence a disc as I was considering that it could be flattened topologically once you untied the place where you blew it up.
-
What this video really teaches us is how to turn the decorations and snacks for a small party into a tax write-off
-
Topologist jokes before: "Topologists can't tell a doughnut and a mug apart." Topologist jokes now: "Topologists can't tell jeans and g-strings apart."
-
The worst thing about topology is drawing with markers on doughnuts.
-
Whenever the "holes" type questions came up, my first critical thought on the question was immediately to consider that straws and clothing are 3D objects, which immediately complicates things for me in such a way that I'm honestly just out of my depth. This video helped me work out some of the more abstract ideas around topology. Good stuff!
-
He knew EXACTLY what he was doing bringing in a torus balloon and saying "Things are gonna get a lot worse" Things always get worse when you start bringing those in
-
I think he's ability to break a bagel perfectly on the line is underrated
-
"Things are gonna get a lot worse" Ominously brings out a second balloon
-
Man, Swiss cheese must be the bane of topologists' existence
-
Well, now I know why I wasn’t able to find any “donut balloons” for my kid’s birthday party. Gee, thanks Matt! 😂
-
"When you put a hole in something, the number of holes goes up"
-
This is such a fun intro to the Euler Characteristic! I think it's kinda sad that so often we don't expose students to these accessible ideas from topology until late in an undergrad program, but there is no reason it can't be explored way way earlier.
-
This is easily one of the best, most intuitive explanations of any topological concept that I have seen.
