Mirror-image Mirror Balls: introducing the Kite-Rhombus Hectapentacontahedron
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- čas přidán 22. 05. 2024
- 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... - Zábava
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.
During the video I just figured you had an unusual way of saying festival. Good thing I read the comments!
Did you get the DJ to play you a balllad for a mirrored/chiral palindrome experience?
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?!?!
Not the NORDEHEDRON?
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.
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.
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.
@@vonriel1822 Same one. No one aspect of this event wasn't surreal.
@@standupmathswhat a GREAT EVENT then!! How Awesome!
Look, I'm a simple guy- I see a video with "hectapentacontahedron" in the title, I click on it.
A CZcamsr 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
"I'm beside myself"
Probably one of my favorite jokes on this channel
Just Read this as The joke unravelled 😂
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)
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"
"It's math all the way down..."
Or a diagram of Gabriel's Horn and accompanying equations for surface area and volume
@@andymcl92 LOL- "all the way down!"
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?*
discoh-ACK
Since they had two of them; Do-discohedrons
davinkyhedron
I really like this first reveal of the "Parker sphere"
For that it would have to have one side to it that's just straight up flat
Surely it's a Parkerhedron.
@@YingwuUsagiriA shape that is flat has 2 sides to it.
It's still in beta testing.
I'm saddened this wasn't the name they went with.
As a stained glass artist, I’m intrigued to try to make this.
If you do, let me know! There are other options with fewer faces on Robert's site.
@@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!
@@nat.hol13 Ooooh, would love to see this!
I would suggest fluorescent cable ties of assorted colours.
@@LeonardoTaglialegneme too! replying so i get a notif :D
That is the best outro you've ever done 😂
it took a while for me...but then 🤣
I vote for outro from "What is a Vampire Matrix?". But this is very solid second place :)
LOL at that outro, don't usually actively laugh much at videos but that had me rolling...
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.
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.
I was thinking the same thing the whole time lol
How many eight-syllable words can you fit into one 11 minute CZcams video?
Yes!
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
.... and keep in context. 😅
Enough to win at Scrabble.
At least 1 and less than infinity.
"Its maths all the way down."
Actually made me chuckle.
Its kinda mind blowing how true your statement really is.
BREAKING: Maths are Turtles 🧮🟰🐢
They're hoisting the mirrorballs out over the rim to check
That festival looked like a classic Midwest USA county fair, how cool.
Matts pure delight at the dual shapes within dualed mirrored shapes is literally the best part of this video.
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’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.
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 expected to learn math but to also learn blur is getting back together. This is why i love stand up maths
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...
Love the kid waving at the camera at 2:39
This one's better 2:52
The perfect video for kite, rhombus, and hectapentacontahedron lovers alike!
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!
The 'extras' in the background are amazing.
What a dual of a video once again! How pleasing for mirror other geometry geeks to watch you spread the mathematical joy and wonder.
I have tickets to see Blur this November in South America. I hope to see Alex rocking some standup maths gear
He has asked for a Parker Square tshirt.
@@standupmaths i can imagine the face you must make every time this is requested :D
6:00 Missed chance to call it the "ball room" and call the people working there "ballers".
We called it the BALLLAB because that is a palindrome.
@@standupmaths Shouldn't there technically be an infinite number of n-Kite-Rhombus Solids?
@@standupmathsgo hang a salami, I'm a lasagna hog!
And those who dance below: ballerinas? (Pronounced with a long "a")
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.
Ohh, now I get it. I kept wondering what's a Joule? 🤣
I didn't realize, I thought he was saying jewel and I assumed that was some kind of feature of a kind of solid
If I hadn't read this comment just now I'd still be totally oblivious that he wasn't saying jewel 😩
Wait...American here, how do you pronounce it?
Aw man, I thought "jewelling" was a very cool name for a geometric process.
I was happy to see, at 10:14, the DJ wearing a ball-aclava.
This is why i love geometry! Building cool shapes
Huh, weird. I just finished watching the jan Misali video about the 48 regular polyhedrons/a.
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.
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!)
"I have lots of balls to keep in the air" - Matt Parker
How Parker of you.
Then ending is iconic hahaha
You are so good at time travel Matt.
love robertlovespi! Great geometry blog
Aww man, now I want those mirror balls in my room. Love the design!
Look at them shinin'!
Wow! This is really amazing!
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.
Took me forever to spot who you even meant, I hadn't even seen green-shirt prankster at 4:45 earlier 😆
Heck yeah Blur! The Magic Whip is one of my favorites of their albums.
Baller video!
I love your time travel abilities, I hope no one stops them
You must have a big pair to do something sooo cheesy.... love it!
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
I loved the part where you got to see the effect of the lit balls once it got dark.
Oh yeah that never happened did it
I had a ball watching this video
This is a bold new step for the SUMCU (Stand-Up Maths Cinematic Universe)
great outro.
1:50 Matt Parker having flashbacks to his six Platonic solids vid and Jan Misali’s regular polyhedra
Fun video. Need to change out the flood lights for tight beam spot lights for the mirror ball effect to actually work right.
Just great ❤
Was not expecting a Blur shoutout on this channel
Plus one for supporting art. Please make more art projects!
I have to say, you explained the shape construction really well.
"I'm beside myself".... well done
Such a nice video! Mostly thanks to some amazing colour schemes, but also thanks to some amazing maths 👍
Parker, you did not disappoint.
I love robertlovespi's work. there are some very unique polyhedrons on his page!
I find myself browsing his blog once every few months. he's great.
A NEW HAND TOUCHES THE BEACON
You are a joy! :-D
Apparently this hectapentacontahedron is also called a joined snub dodecahedron, in reference to its being the hull of a snub dodecahedron and its dual
9:49 you weren't kidding about the mirror ball mirrors being sharp
What fun!
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
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.
@@standupmathsSomeday I'll learn that people can sit on videos before release. I appreciate the clarification.
@@Martiger Waiting is a kind of time travel.
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
You're twisting my pentagons man!
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"
Thank you ChatGPT
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.
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.
@@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.
Every single one of those sounds like a JoJo stand name.
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!
Only Matt would finish a video like that. 😆👍
At the time of my viewing, 9.8k views and 21k likes, a truly impressive feat
7:40 they are looking at their creation in such a loving way they're so proud
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)
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...
The kids in the background noticing the camera really brings the whole video together 😂
2:15 A NEW HAND TOUCHES THE BEACON
You had me convinced that you time traveled to the past, well done!
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”.
this made me laugh a lot x thanks
They look like Halloween items with all those other colors and stitching
Haha, a recursive brilliance of fractal magnitude😸
That outro had me laughing good 😂
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?
Wait, I JUST noticed that they're called disco balls in the thumbnail. So I guess the name is not trademarked.
The thumbnail says disco ball though.
Best outro ever?
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.
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.
Matt's got big balls!
Didn't know Blur still doing things? Tut :p
Honestly blur - country house would have been a good background song for this video, it has that same light jolly vibe as this video.
Am I the only one desperate to see these lit from the inside?!
Putting two spheres at the top of a pole was an interesting choice. But it is no worse than may poles or midsummer poles (a Swedish thing, and I'm a Swede).
Stand Up Maths is always worth watching
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 love hearing Matt talk about his balls.
Woohoo!
That outro ... had me ... out of breath ... from laughter
"I'm beside myself"... LMAO
And to think, their child ended up being a 1 inch tetrahedron!
"Cheese Hub" lighted sign -- so adorably English!