Mirror-image Mirror Balls: introducing the Kite-Rhombus Hectapentacontahedron
Ойын-сауық
The Big Feastival is this weekend! thebigfeastival.com/ (Or if you are watching this in the future: some weekend in your subsequent August.) I'm there most years, come and say hi! In 2023 we're making a giant sun dial.
Blur are on tour again and have a new album out! I've seen the show and listened to the album so can recommend both personally. www.blur.co.uk/
• Album - The Ballad of ...
Huge thanks to Robert for finding all eight "Eight Kite-Rhombus Solids". robertlovespi.net/2018/04/29/...
Thanks to Lisa Mather who designed and laser-cut all of the kites and rhombi so we could cable tie them together. / lisa_mather
Internal frame for the balls was designed and built by Dave Ansell. www.sciansell.co.uk/node/167
3D design and all images of the shape was done by Sam Hartburn. samhartburn.co.uk/sh/
The build crew included but was not limited to: Alex Genn-Bash, Alex James, Ben Sparks, Katie Steckles, Lisa Mather, Lucie Green, Matt Parker, Matthew Scroggs, Paul Taylor and random festival attendees.
Huge thanks to my Patreon supporters. They keep my balls in the air. / standupmaths
CORRECTIONS
- None yet, let me know if you spot anything!
Filming and editing by Alex Genn-Bash
Written and performed by Matt Parker
Graphics by Sam Hartburn
Cheese by Alex James
Produced by Nicole Jacobus
Music by Howard Carter
Design by Simon Wright and Adam Robinson
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
US book: www.penguinrandomhouse.com/bo...
UK book: mathsgear.co.uk/collections/b...
Пікірлер: 402
Edit: I’m doing a show at Feastival this weekend! thebigfeastival.com/stages-and-experiences/the-exchange/matt-parkers-an-evening-of-unnecessary-detail I forgot to highlight in the video that we also got a bit obsessed with palindromes to go with the mirror balls. Which is why we called the workspace the BALLLAB. Also we named the installed the Hubbuhedron after the Cheese Hub.
@jamisonr
9 ай бұрын
During the video I just figured you had an unusual way of saying festival. Good thing I read the comments!
@jellorelic
9 ай бұрын
Did you get the DJ to play you a balllad for a mirrored/chiral palindrome experience?
@russellwheeler2760
9 ай бұрын
I'm totally confused. Writing this on Mon 21 Aug when the video was launched, and yet the web says Feastival is this upcoming weekend...So who were all those people and what were they there for when you filmed it?!?!
@vigilantcosmicpenguin8721
9 ай бұрын
Not the NORDEHEDRON?
@PhilBagels
9 ай бұрын
Well, if you became obsessed with palindromes, you should have called it the nordehedron.
MATT PARKER constructing a unique geometric DISCO BALL at a CHEESE FESTIVAL hosted by the BASS PLAYER from BLUR who is now a FARMER. Sorry I refuse to believe this video wasn't created by an AI playing Mad Libs.
@vonriel1822
9 ай бұрын
Don't forget that he also said Simon Pegg was gonna be DJing in the BALLLAB and so they had to finish up the rest of their mirror balls quickly. Could be a different Pegg, of course, but uh. Still.
@vigilantcosmicpenguin8721
9 ай бұрын
A namedrop is one thing, but this is a namedrop on top of a surprising fact on top of an odd detail of a niche event.
@standupmaths
9 ай бұрын
@@vonriel1822 Same one. No one aspect of this event wasn't surreal.
@mrautistic2580
9 ай бұрын
@@standupmathswhat a GREAT EVENT then!! How Awesome!
As a stained glass artist, I’m intrigued to try to make this.
@standupmaths
9 ай бұрын
If you do, let me know! There are other options with fewer faces on Robert's site.
@nat.hol13
9 ай бұрын
@@standupmathsI think I wanna give the 60-faceted pointy pentagonal one a go! The pentagonal hexecontahedron. I think it’ll be best for uniformity of size/construction. I’ll share it with you when I finish!
@LeonardoTaglialegne
9 ай бұрын
@@nat.hol13 Ooooh, would love to see this!
@0LoneTech
9 ай бұрын
I would suggest fluorescent cable ties of assorted colours.
@goldenratio_phhia
4 ай бұрын
@@LeonardoTaglialegneme too! replying so i get a notif :D
A KZreadr and his team went to the cheese farm owned by the bassist of Blur in order to do a maths demonstration highlighting the yet to be named shape that is the convex hull of the compound shape formed by the ‘snubbed dodecahedron’ and it’s duel the ‘pentagonal hexacontahedron’ and they did this by making 6 disco balls. If I had a gun to my head and had to convince someone that yes, this actually happened, I would die. I would not be successful. I love this video
Hahah the signoff was so funny. Also "it's maths all the way down" is something I'd put on a t-shirt. Maybe featuring a "Convex hull of a compound shape formed by the snub dodecahedron and its dual the pentagonal hexacontahedron"
@wyattstevens8574
9 ай бұрын
"It's math all the way down..."
@andymcl92
9 ай бұрын
Or a diagram of Gabriel's Horn and accompanying equations for surface area and volume
@wyattstevens8574
9 ай бұрын
@@andymcl92 LOL- "all the way down!"
Look, I'm a simple guy- I see a video with "hectapentacontahedron" in the title, I click on it.
I love the transitions on this channel so much, it isn't trivial to film things out of order yet manage to make everything still be ok in te video (like the "it's a week and a half ago" transition for example)
I really like this first reveal of the "Parker sphere"
@YingwuUsagiri
9 ай бұрын
For that it would have to have one side to it that's just straight up flat
@mrab4222
9 ай бұрын
Surely it's a Parkerhedron.
@Tahgtahv
9 ай бұрын
@@YingwuUsagiriA shape that is flat has 2 sides to it.
@dhayes5143
9 ай бұрын
It's still in beta testing.
@vigilantcosmicpenguin8721
9 ай бұрын
I'm saddened this wasn't the name they went with.
I'd like to submit a fancy name for the shape: considering these were all made for a musical event, and the fact that it's made of small mirrors, what about the *Discohedron?*
@maskettaman1488
9 ай бұрын
discoh-ACK
@KalMayson
9 ай бұрын
Since they had two of them; Do-discohedrons
@ITS_MEEE333M
5 ай бұрын
davinkyhedron
"I'm beside myself" Probably one of my favorite jokes on this channel
@shennyboi110
9 ай бұрын
Just Read this as The joke unravelled 😂
That is the best outro you've ever done 😂
@Hetpust
9 ай бұрын
it took a while for me...but then 🤣
@kwokycz
9 ай бұрын
I vote for outro from "What is a Vampire Matrix?". But this is very solid second place :)
"Its maths all the way down." Actually made me chuckle. Its kinda mind blowing how true your statement really is.
@ChrisLindsley
9 ай бұрын
BREAKING: Maths are Turtles 🧮🟰🐢
@christophersmith108
9 ай бұрын
They're hoisting the mirrorballs out over the rim to check
To me (an American), Matt's (Australian) accent keeps making the word "dual" sound like "jewel"... and that's just what these polygons are: jewels.
@smileyp4535
6 ай бұрын
I was thinking the same thing the whole time lol
I honestly just love the commitment to the bit of referring to different segments relative to one of the more recently filmed bit. I know its probably not a huge amount of work to just script it in, but it takes though and always makes me smile.
How many eight-syllable words can you fit into one 11 minute KZread video?
@multisuperluan1
9 ай бұрын
Yes!
@tiletapper4ever
9 ай бұрын
If an 8-syllable word takes about 3 seconds to spell on average, then in 11 minutes and 17 seconds, which is equal to 677 seconds, you're supposed to be able to fit 225 8-syllable words, and probably another 5-syllable one
@DividedWeFall
9 ай бұрын
.... and keep in context. 😅
@Vanta_Blue
9 ай бұрын
Enough to win at Scrabble.
@rascal1514
9 ай бұрын
At least 1 and less than infinity.
LOL at that outro, don't usually actively laugh much at videos but that had me rolling...
Matts pure delight at the dual shapes within dualed mirrored shapes is literally the best part of this video.
@alexandertownsend5079
9 ай бұрын
Dualed? I thought he said jeweled because it would look pretty if you could cut gemstones into those shapes. Imagine beads shaped like that on a necklace.
I expected to learn math but to also learn blur is getting back together. This is why i love stand up maths
@mytube001
9 ай бұрын
They already are. They headlined a festival near me a couple of weeks ago. I suspect this video was filmed at last years Feastival, as this years won't open until Friday...
6:00 Missed chance to call it the "ball room" and call the people working there "ballers".
@standupmaths
9 ай бұрын
We called it the BALLLAB because that is a palindrome.
@FLPhotoCatcher
9 ай бұрын
@@standupmaths Shouldn't there technically be an infinite number of n-Kite-Rhombus Solids?
@danaclass
9 ай бұрын
@@standupmathsgo hang a salami, I'm a lasagna hog!
@nurmr
9 ай бұрын
And those who dance below: ballerinas? (Pronounced with a long "a")
I’m impressed with whoever came up with the snub dodecahedron. Even after seeing it, it isn’t obvious how much the pentagonal faces needed to be rotated in order to get the triangles to work out evenly.
@RichardHolmesSyr
9 ай бұрын
It's in the name: Archimedes. Or at least if he didn't come up with it he was one of the first to describe it, and the first to enumerate all the semiregular polyhedra (which are the prisms, the antiprisms, and the Archimedean solids). Pretty damn impressive when they didn't even have paper and Ticonderoga pencils let alone 3D graphics software. But you don't have to think of the snub solids in terms of expanded and rotated faces. You can get all the semiregular solids by considering all the ways regular polygons can meet at a polyhedral vertex, and in particular the snub dodecahedron is what results when you say "let's put a regular pentagon and four equilateral triangles around a vertex in the only way you can, and then see what unique polyhedron that gives you."
I have tickets to see Blur this November in South America. I hope to see Alex rocking some standup maths gear
@standupmaths
9 ай бұрын
He has asked for a Parker Square tshirt.
@platinummyrr
9 ай бұрын
@@standupmaths i can imagine the face you must make every time this is requested :D
Love the kid waving at the camera at 2:39
@pirateofthebeans_2393
9 ай бұрын
This one's better 2:52
Matt, the fervor with which you do these complex things is such a pleasure to watch. I love the effort you put into your videos and I hope you keep finding new and silly ways to make them!
This is why i love geometry! Building cool shapes
I know it's a pronunciation quirk that is shared between Australis-English and Hiberno-English, but hearing "dual" pronounced as "jewel" meant I had to look up which one you meant. Both sound correct, of course.
@screenoholic
9 ай бұрын
Ohh, now I get it. I kept wondering what's a Joule? 🤣
@JustinAlcorn
9 ай бұрын
I didn't realize, I thought he was saying jewel and I assumed that was some kind of feature of a kind of solid
@R3dFlames
9 ай бұрын
If I hadn't read this comment just now I'd still be totally oblivious that he wasn't saying jewel 😩
@cyborghuey
9 ай бұрын
Wait...American here, how do you pronounce it?
@kelpsie
9 ай бұрын
Aw man, I thought "jewelling" was a very cool name for a geometric process.
Huh, weird. I just finished watching the jan Misali video about the 48 regular polyhedrons/a.
You must have a big pair to do something sooo cheesy.... love it!
You are so good at time travel Matt.
Heck yeah Blur! The Magic Whip is one of my favorites of their albums.
Aww man, now I want those mirror balls in my room. Love the design!
What a dual of a video once again! How pleasing for mirror other geometry geeks to watch you spread the mathematical joy and wonder.
love robertlovespi! Great geometry blog
Wow! This is really amazing!
I love your time travel abilities, I hope no one stops them
That festival looked like a classic Midwest USA county fair, how cool.
The perfect video for kite, rhombus, and hectapentacontahedron lovers alike!
fun! have been thinking about these shapes but never thought to catagorize them or do anything serious with it. you can split in triangles infinitely and add more sides making it ever closer to a ball
5:00 I love how tha kid tried to walk into shot to prank and the no-special-name-o-hedron's just popped into frame at the perfect time. That's the detailed content I love to watch.
@R3dFlames
9 ай бұрын
Took me forever to spot who you even meant, I hadn't even seen green-shirt prankster at 4:45 earlier 😆
So I helped build a coupla geometric mirror balls, safe in the knowledge there will always be a bit of my heart devoted to it. (PARKER LIFE!)
The 'extras' in the background are amazing.
Baller video!
"I have lots of balls to keep in the air" - Matt Parker How Parker of you.
Then ending is iconic hahaha
I have to say, you explained the shape construction really well.
Such a nice video! Mostly thanks to some amazing colour schemes, but also thanks to some amazing maths 👍
There's No Other Way to say this, but that seems like The Universal shape. Is this The End Of A Century? Cause we've No Distance Left To Run. I guess I'll thank you, Matt "Parklife" Parker, for showing this Charmless Man and all those Girls & Boys a real Tender Country House. Song 2.
I love robertlovespi's work. there are some very unique polyhedrons on his page!
@LeoStaley
9 ай бұрын
I find myself browsing his blog once every few months. he's great.
Just great ❤
Parker, you did not disappoint.
Was not expecting a Blur shoutout on this channel
Plus one for supporting art. Please make more art projects!
Look at them shinin'!
I loved the part where you got to see the effect of the lit balls once it got dark.
@Mr.D.C.
9 ай бұрын
Oh yeah that never happened did it
I was happy to see, at 10:14, the DJ wearing a ball-aclava.
"I'm beside myself".... well done
You are a joy! :-D
You're twisting my pentagons man!
What fun!
Here are some fun alternative names for the "Kite-Rhombus Hectapentacontahedron": - The "Flying Diamond" - The "Breezy Quadrilateral" - The "Kite-Rhombus Hybrid" - The "Rhomb-Kite-octahedron" - The "Diamond in the Sky" - The "Kite-Rhombus Fusion" - The "Windcatcher" - The "Rhombus-Kite Combo" - The "Quadrilateral Dreamcatcher" - The "Kite-Rhombus Wonder"
@lbgstzockt8493
9 ай бұрын
Thank you ChatGPT
@Xomage999
9 ай бұрын
And if none of these stick for the K-R Hpch, then you've got some spiffy wrestling move finishers for a very mathematical pugilist.
@CarMedicine
9 ай бұрын
Taking into account that it's a convex hull, If you shorten Kite-Rhombus, you get this: - The "Kitro Hull" But since this particular one is the biggest Kitro Hull out of the family of eight, I think this one should be dubbed: - The "Kitro Megahull" Or the "Kitro Dodecahull", if you want to keep the fact that it's based on a dodecahedron.
@nightthought2497
9 ай бұрын
@@CarMedicine Kitro Megahull sounds like both the name of the stage name of the mathematical pugilist and a sci-fi cargo ship. In other words, yes.
@SophieBK
9 ай бұрын
Every single one of those sounds like a JoJo stand name.
Fun video. Need to change out the flood lights for tight beam spot lights for the mirror ball effect to actually work right.
great outro.
I had a ball watching this video
Only Matt would finish a video like that. 😆👍
1:50 Matt Parker having flashbacks to his six Platonic solids vid and Jan Misali’s regular polyhedra
Would be interested to know how the final faces were added while keeping the tie ends inside, I have an idea for one way to do it but wonder if it's how it was done... (My thought is before adding the "keystone" face or collection of faces run cords thin enough to fit through the gap in an edge or vertex out through the far side of the thing, then loosely attach the cable ties and fix those cords to the tie ends, then use those to tighten everything down; that said I wouldn't be surprised if there wasn't some neater way to do it I wasn't thinking of)
@HunterJE
9 ай бұрын
The moment I hit send thought of a probably easier possibility - just pass the loose ends back through the gap around the final face(s), work it tight, then poke them back in...
You had me convinced that you time traveled to the past, well done!
Only 25,000 people at the Big Feastival? That's more like the Smallish-to-Possibly-Moderately-Sized-But-No-Larger Banquetival. I'd ask for my money back!
At the time of my viewing, 9.8k views and 21k likes, a truly impressive feat
This is a bold new step for the SUMCU (Stand-Up Maths Cinematic Universe)
Matt’s pronunciation of “duals” kept sounding like “jewels” to me. So at 7:07 I half expected him to say something about “holding up my jewels”.
Apparently this hectapentacontahedron is also called a joined snub dodecahedron, in reference to its being the hull of a snub dodecahedron and its dual
7:40 they are looking at their creation in such a loving way they're so proud
You could show this solid to people in Anlaby Common in Yorkshire, which isn't in Hull, but is in the convex hull of Hull.
I don't think I heard you say the term "disco ball" at all in the video, which is what I'm used to it being called. Is "disco ball" trademarked, or is it just called a mirror ball where you're from?
@DrakiniteOfficial
9 ай бұрын
Wait, I JUST noticed that they're called disco balls in the thumbnail. So I guess the name is not trademarked.
@Koooo4
9 ай бұрын
The thumbnail says disco ball though.
the fact there's a left and right sided version and that you thought that far ahead, is actually not a surprise, but delightfully fun
Wow… no edits at all between 1:55 and 3:50?! VERY impressive! Makes me wonder just how bad the 10 seconds leading in to that rant must have been to require a cut between 1:45 and 1:55
Just a heads up "I'm there most years, come and say hi! In 2023 we're making a giant sun dial." Is either time travel... or a typo. :D
@standupmaths
9 ай бұрын
The mirror balls were 2022. I’m there in a few days to give them a service and tune-up for this year and prep for the 2023 sun dial.
@Martiger
9 ай бұрын
@@standupmathsSomeday I'll learn that people can sit on videos before release. I appreciate the clarification.
@luelou8464
9 ай бұрын
@@Martiger Waiting is a kind of time travel.
That outro had me laughing good 😂
this made me laugh a lot x thanks
Lovely! I wonder how much it would cost to have one welded in highly polished stainless steel!? That would be awesome.
I was really hoping for a blur-inspired rendition of your intro theme
Haha, a recursive brilliance of fractal magnitude😸
A NEW HAND TOUCHES THE BEACON
Woohoo!
It was worth it for that outro alone
Congratulations: you get through the name of the shape within 4 minutes!
@Alexand3ry
9 ай бұрын
(and that was actually difficult)
The kids in the background noticing the camera really brings the whole video together 😂
Best outro ever?
Woohoo captions!!!
Where can I buy one of the high visibility vests that the workers are wearing in the video?!? "maths at work geometry construction" I love it!
9:49 you weren't kidding about the mirror ball mirrors being sharp
Now, take the kite-rhobus hectapentecontahetron, and superimpose it on its chiral twin (preserving the symmetry of the docecahedron) and take the convex hull of the result. What symmetry group does that yield?
That outro ... had me ... out of breath ... from laughter
How did you figure out / find out the dimensions and angles of the polygons to use? I don't see anything in the linked article giving that information.
The mirror-rotating, mirrored, mirrored, convex hulls of the compound shape formed by the snub dodecahedron and its dual, the pentagonal hexacontahedron. Sounds catchy enough to me, although to be fair I also live near Wales so many things sound concise and sensible. This video could have only been improved by 2 things: - The seat on the ride at the end coming around empty on the last rotation (obviously by means of camera trickery, not actually launching Matt into an unsuspecting tapas stand. - A cheese carved into the shape of a kite-rhombus hectapentacontahedron.
Kind of curious if that shapes name can fit on a Scrabble board. Also with your origami projects on the table, science and math of origami video when?
I love how samey we all are. I had to google it to figure out if Matt was in america or not based on his surroundings (I hadn't heard of feastival). That crowd looks exactly like any midwestern fair crowd. Kingham looking a lot like ohio.
Nice
I love hearing Matt talk about his balls.
Balls!