The BTS Octahedron

[@Vihart]

Thanks everyone! You can get the patterns and more info at vihart.com/bts . Since BTS ARMY isn't my usual audience and may not find this video, make sure to share, borrow, and steal the video and octahedron pattern and put it wherever you think people will enjoy, so we can all have more octahedra in our lives.

[@aliens_capam]

You should pin this comment for visibility

[@daxafer]

Thank you so much! Links shared ... waiting impatiently for the pdf versions (Probably I just need to look on a computer instead of my phone)

[@shayshafer2422]

Army as a whole may not be your usual audience but I watched your videos way before I became army and this crossover just made me so excited! The complexities of meaning seeking and meaning making I've found and participated in as army are so often downplayed or ignored, thank you for paying attention and thank you for contributing!

[@AF-ft6nh]

@@shayshafer2422 My story is the same and I'm just as excited as you are :) I already shared this video (links) on twitter so I hope it'll reach more armys!

[@Vihart]

@@daxafer PDFs are now up!

[@HAL-oj4jb]

Vihart and BTS is the most random combination in my yt feed today

[@alexawood1588]

the best part is i was the 413th like on your comment so iykyk

[@Moonastronaut]

My two worlds collide. Love this!

[@madd5]

unsubbed LOL

[@slolilols]

Same

[@jefferson745]

@@madd5 no

[@carykh]

It's no surprise you like octahedrons, they're literally made of 8 copies of the Vihart triangle! :D

[@charmtapioca]

Cary! It's so good to see you here! I love both you and Vi, and I didn't expect you to watch her videos, but it totally makes sense! Love to see you interacting with them :D

[@noob-master819]

True, true.

[@CattleChoir]

Hi

[@evank6]

don't forget the 12 edge copies and 6 vertex copies

[@stunna_irl]

You fricken nerd I don't even know those stuff I wasn't trying to be rude in this comment I was just wow bc you know what those stuff are.

[@skrytetemnoty7590]

I didn't realize how much I needed to hear that end monologue until it had processed ten seconds later. I may not be a hardcore BTS fan, but I can appreciate the sentiment of perception, seeing "more than what meets the eye" and whatnot, the same way a botanist and a climber would look at the same tree with completely different thought processes.

[@karaosuno]

I don't even like bts but CLICKED SO FAST, hello again!

[@dcx45]

Ok, didn't know what BTS was ... but same

[@sebastianjost]

Her videos never disappoint. Quality over quantity.

[@shapeoffour2319]

Same

[@paloma-alfaro]

I only know abt BTS bc my friend is a superfan.

[@ritzzzblitzz6833]

I like bts tho

[@HeikeRenee]

Vihart, I've followed you for what might be 10 years already, and you really surprised me with this video! I've become such a big fan of BTS' work and message over the last year and it's so cool you share the same appreciation. Especially what you say at the end, "Don't sit around scrolling and waiting for the predatory things that want to find you. When we actively look for meanings and connections, we give our attention to the things that give back." is just amazing! 💜

[@skrytetemnoty7590]

[@flipppbook]

+

[@L1N3R1D3R]

ViHart uploaded and it's not Pi Day. My birthday was yesterday, but it really feels like it's today now!

[@MountainAsh8]

Happy birthday it was my birthday aswell!

[@aykranders]

Congrats dude

[@caitlyngoss177]

yesterday was my birthday too!

[@caitlyngoss177]

happy birthday

[@caitlyngoss177]

@@MountainAsh8 happy birthday!

[@AF-ft6nh]

For anyone wondering what's BTS FESTA: BTS is a Korean group which celebrates its anniversaries (debut date: June 13th 2013) in the form of FESTA. FESTA is a 2 week long period during which BTS release a lot of content: choreography videos, songs, photos etc. As you can see, BTS FESTA poster is a schedule. This year BTS celebrate their 8th anniversary :)

[@maxrollins8781]

Thank you! :)

[@DavidLindes]

Indeed, thanks. I was wondering if I was going to need to post a comment with a link to xkcd’s “10,000” comic, asking “uhm, who or what is BTS?”... but you saved me from that need. Yay. :) Also yay for octahedra and vihart videos, even when I don’t grok what they’re on about. :)

[@justifiable]

@@DavidLindes i love that xkcd! it almost single-handedly brought me out of my edgy teenage internet bully phase

[@DavidLindes]

@@justifiable Nice!!!

[@AmeeliaK]

"Making up rules and seeing what happens is basically what Math is" I love this 💜

[@totallynotaweirdhuman4576]

who would've thought BTS would make us experience the joy of a new Vihart video.

[@danielliao265]

Vi emerges out of the triangle realm to deliver another video

[@rosa-mv7gl]

thank you vi

[@fhvys]

yes ty

[@RetroPokemonTCG]

2:08 Vi you can't just whip out the pigeonhole principle like that whenever you please!!! (Actually that's what makes it so useful and awesome)

[@Ylurple]

as a math major shoehorning the pigeonhole principle into conversation unnecessarily is my favorite thing to do

[@RetroPokemonTCG]

@@Ylurple My roommates always get mad at me whenever I bring it up, which is usually when we're playing games with both private and public information

[@tsawy6]

My favourite treatments of counting theory with your choose functions and so forth uses pigeon hole as it's starting point from which it proves everything else. It really is extraordinarily neat.

[@spider_plantt]

vihart getting excited over octahedrons in BTS posters :handshake: me getting excited over the 'demian'-esque themes of good vs evil and action vs inaction in the BTS HYYH universe

[@flipppbook]

+

[@jules6731]

What I appreciate about BTS is that everything they put out is extremely carefully curated, from their songs to their products! Thank you for the video!

[@Mad.E]

"Other people might not understand why seeing a poster with an octahedron in it makes me excited, but I'm not just seeing the octahedron any more than a BTS Army who screams over a new BTS group photo is just seeing a photo of a group. When I see this curiously numbered BTS octahedron I get a glimpse of the parts that aren't shown. I see questions and connections, I see number theory and symmetry groups, I see the crystal lattices inside naturally occurring octahedra like floride and diamond. This octahedron gives me the gift of a slightly new lense into a hugely complex and beautiful world that I know and love and where the more I put into it, the more I get out of it. Don't sit around scrolling and waiting for the predatory things that want to find you. When we actively look for meanings and connections, when we give our attention to the things that give back, we can find beauty when the world seems ugly and flawed. Awe-inspiring precision and order when our lives are chaos and a shining light when we're lost in darkness."

[@flipppbook]

+

[@idannen]

Thank you for transcribing this.

[@cherryflutters]

@@idannen it's not a transcript

[@carrott36]

I read this write as vihart started saying it

[@Jay13340]

is this piece a king? *puts yoongi's face on it* now it is! lol rofl

[@xiuyi]

I love how she just keeps making bts octahedra over and over again Also agust d's king face was a genius idea bc he's both visually and musically a king

[@ezra6094]

If the 8th BTS member is announced this will become the prediction of the century 😂

[@Ana-id6uk]

Well as a math enthusiast who came from the ARMY side of this equation, I'm subscribing! Also, it was a wonderful speech at the end :) Truly the main reason why I've come to love this community. P.S. if the next album drops on August 14th, I am coming back here with flowers

[@snisa92]

Actually its already being rumored that their album would be release in july/august. So, maybe they really dropping hint here.

[@EmmaLansdowne]

vihart was the first KZbin channel I followed when i first joined the internet like ten years ago and now I'm a giant BTS fan and I see a vihart video about BTS and i get so happy!!!

[@masta6087]

When Vihart pulled out their six sided die I thought I was going crazy for a solid few seconds

[@iciclethehybrid]

You know I can't stop myself from dropping everything to watch a new video of yours! Love all your content

[@LavenderAkane]

kpop really does get to everyone huh

[@allforbts4038]

*bts

[@allforbts4038]

@Big Smoke not the same thing bro

[@normalnamenormalname2083]

@@allforbts4038 pretty much same thing

[@veggiet2009]

Correct me if I'm wrong but BTS is the band, KPOP is the genre? I could be wrong because sometimes a band both stretches the bounds of a genre and at the same time eclipses the genre in popularity such that the resulting band becomes a genre to itself. No idea if this applies to BTS, but if it does, good for them...

[@Daye04]

@@veggiet2009 I guess it does for people who aren't interested in kpop or music genres. But those of us who are see kpop as the genre and BTS as the band

[@hopefletchfan]

This made me so deeply deeply happy, thank you vihart, im still drawing fractals all over my notes but now im also knee deep in BTS so this was a lovely surprise from you

[@geo8046]

And when the world needed her the most, she came back. Thank you for making me love math.

[@dannyboy4083]

seeing Vihart equally geek out about octahedra as well as small toys makes me appreciate the small things in life

[@thereview4694]

HI! I just want to say I love your channel and it's a very big reason why I love math and have been successful so far through high school. I was first introduced to you channel in my 8th grade honors math class and I've been hooked on the subject since. Thank you!!!

[@rakac6999]

I don't quite know how to explain it, but a video in which vihart analyzes the new festa calendar is something that emits pure joy and curiosity; this is exactly what I needed today, thank you!!

[@gianellaruiz]

I clicked so fast, I never thought I needed this Vihart and Bts combination in my life.

[@mkteku]

Closing words: _"... in eight years, BTS has created an entire world of content and one of the things I enjoy about BTS' fanbase ARMY, is that there's a culture of analyzing and adding to that world of content. They are attentive and curious and look for _*_logic and purpose_*_ behind everything they see. They participate, _*_collaboratively_*_ in constructing the meaning that exists in the world of BTS, seeking out _*_truth and beauty,_*_ chasing the thrill of _*_insight and discovery,_*_ even knowing that sometimes they _*_might end up being wrong._*_ And this is what mathematicians do, not only with BTS, but with the entire world. Other people might not understand why seeing a poster with an octahedron in it makes me excited, but I am not just seeing the octahedron any more than a BTS ARMY who screams over a new BTS group-photo is just seeing a photo of a group. When I see this curiously numbered BTS octahedron I get a glimpse of the parts that aren't shown. I see questions and connections. I see Number Theory and symmetry groups. I see the crystal lattices inside naturally occurring octahedral like fluorite and diamond. This octahedron gives me the gift of a slightly new lens into a hugely complex and beautiful world that I know and love and where the more I put into it, the more I get out of it._ *_Don't sit around scrolling and waiting for the predatory things that want to find YOU._* _When we actively look for meanings and connections, when we give our attention to the things that give back, we can find beauty when the world seems ugly and flawed._ _Awe-inspiring precision and Order when our lives are Chaos and a Shining Light, when we're lost in darkness."_ (: pǝppɐ sısɐɥdɯǝ

[@skrytetemnoty7590]

👏👏👏

[@RandomAmbles]

Why does this sound like a religion?

[@mkteku]

Probably because it is full of Hope,@@RandomAmbles ;)

[@RandomAmbles]

@@mkteku yeah, I guess that'd do it

[@shockofthenew]

@@RandomAmbles I definitely get how we can sound a bit cult-like from the outside, but the focus isn't worshipping the group (they're just regular people who happen to be very talented), rather on how the message they put into their songs and the way they behave gives people hope, inspires them to improve their lives, connect with each other, and keep going through the struggles of life. The fandom itself can operate a bit like a 'religious group' in the sense that there is a real community where we do a lot of charity work and have our own traditions and culture. But there's no required beliefs beyond generally trying to be a good person. We come from all countries, backgrounds and age groups ^_^

[@nes-chan]

as a bts fan (and a vihart fan), when i first saw the title i was like "surely it's not bts, it must be behind the scenes or something" but lo and behold it really was my boys :D

[@allocater2]

See, in all our searching, the only thing we've found that makes the emptiness bearable, is -each other- math.

[@flipppbook]

+

[@dellarosa24601]

Yes.

[@fossilco.artrelateddocumen331]

At last she has returned

[@JimmehRulez]

Ye

[@dorarandom7870]

This videos always remind me that math is so much more than a bunch of information. It connects things that seem to not have any connections at first glance. It reminds us that everything we know exists in the same space, therefore is somehow connected. If not in any other way than through us.

[@galou4308]

Seeing a Vihart notification is always great

[@dylancarter4928]

she is back. my excitement is immeasurable and my day is great

[@suga-gl0ss]

as an ARMY and a lover of vihart, this made me so happy.

[@Alcosin]

Honestly, I forgot about this channel. It's great to see a new video after all the amazing math videos that entertained the 12yr old me. You got me through many boring math lessons. Thank you

[@ggjune7392]

VI HART IS AN ARMY?!? THIS IS THE MOST UNEXPECTED CROSSOVER EVER BUT I LOVE IT

[@Speed001]

I assume there was not a new member.

[@ace.of.space.]

i never imagined there was a way to link my passion for math to my love of bts. this video gave my life a new clarity

[@chari6471]

As an ARMY and mathematician this is so lovely and amazing! The mention of graph theory!! Thank you!!!!!! Someone who understands my excitement :)

[@jellyfisharmy1909]

SHES BACK

[@vigglewiggle5396]

YOURE BACK!!! We missed you

[@ifseancouldfly]

You are the only person that somehow makes math interesting

[@murraynatkie7490]

Also the only person that somehow makes BTS interesting.

[@rosa-mv7gl]

@@murraynatkie7490 AA EXACTLY

[@Ana-id6uk]

@@murraynatkie7490 Tbh, being a bts fan is like playing an ARG game on a massive scale. Everything is connected @,@

[@pizzanachos101]

SHE’S RETURNEDDDDDD

[@knittingfrenzy18]

my childhood hero is back, they cannot find any of their regular dice and it's making me laugh so hard

[@lillalachrimae]

namjoon would be proud! also I love that you used daechwita yoongi as the king!

[@barryeylle9760]

me tooooo! king yoongi!!

[@kjmlucero]

Vihart and BTS!! What an interesting intersection of the internet!

[@Backflipgal12]

damn nearly got me tearing up at the end 😭 stay curious, stay sane! and thank you for the very cool bts die, I think you got it spot on that BTS is 7!

[@clara3681]

man I miss having these videos so full of positivity and wonder about the world. this year schoolwork has me hating math more and more AHDJSJDJ but having this lovely insight into the world of a mathematician makes me want to keep trying at it

[@lunafoxfire]

"Don't sit around scrolling and waiting for the predatory things that want to find you" is such a good line. Also, hello!

[@zenzenzense1562]

I used to love watching your videos when I was in school and now I've been ARMY for 5 yrs, this video was unexpected and beautiful!

[@ibageldotcom2]

OH HECK YEAH! WELCOME BACK!!!!!! Your videos on plants and the Fibonacci sequence have inspired me to pursue botany as a career. I also found a bunch of hexaflexagons while cleaning out one of my drawers so I think it's safe to say you had a really big influence on me. I hope everything is going well for you and I hope to see more videos in the future! 🌻

[@flipppbook]

BTS and Vihart is the most powerful combo I didn't know I needed

[@ryanstam6812]

A non-pi day video? Is vihart back?!

[@rosa-mv7gl]

i sure hope so

[@pdroa6666]

i think shes white

[@slolilols]

@@pdroa6666 bruh they wrote back not black lmao

[@solar_co]

The fact that Vihart, my childhood idol, is now making a very Vi video about my adult idols is sooo surreal

[@beveragebox277]

0:56 is this a king? *puts on a pic of yoongi* yes

[@aishals]

Never in my years of watching your channel did I think I’d ever see BTS content, and I’m absolutely loving it! 💜

[@AF-ft6nh]

I've been watching your videos since hexaflexagon. I've been an ARMY for 3.5 years. This is the most unexpected combination I've ever seen 😂 Brilliant video! Happy FESTA fellow ARMYS! 💜

[@barryeylle9760]

same! happy FESTA to you as well! 💜

[@pjzza777]

happy festa!!

[@bangtanborahae1013]

the biggest smile on my face right now!! cannot express how seeing your little smiling triangle picture on my recommended just.......zoomed me back to YEARS ago when i went on a binge and saw your videos for the first time. so so happy to hear your voice again, and that it crossed over with bts somehow?? anyway, hope you are well and thank you for all of your lovely content :")

[@mrcat6433]

"And that's the end. Or is it?" Nice Vsauce reference. 5:04

[@kottonkandy0962]

I looked up Vihart for the first time in like 5-6 years and seeing BTS in the title after becoming a kpop stan was like an entire form of whiplash

[@exquis_]

yoooo you just made me love the poster design even more 🤣 let's enjoy festa together 💜 [and yes, i'm one of the ARMY who can't help theorize stuff lmao]

[@timothyfavarger6191]

I'm so happy that Vihart still makes videos. I find her voice so relaxing. increadible how much time has passed since the first ones, but she sort of always find the mosts unexpected subjects and makes it interesting.

[@minxx_3509]

I didn’t know I needed this till now 🥺

[@maizen1335]

Ah, the classic vihart video structure, fun math games and toys that at the last minute switches to deep existential discussion

[@danielleanderson6371]

I've never listened to BTS and I never really got into K-pop, but I did try their special sauces at Mickey D's and I gotta say they've got good taste. If someone can make a compelling argument to cross this weird bridge between chicken nuggets and my favorite Platonic solid, I could be convinced to give them a listen.

[@vpshargreaves501]

I didn't know how much I missed you until I saw this on my homepage. I started watching when I was a pre teen and now I'm in university. Your work is always a pleasure to watch and listen to. Thanks for the lovely video.

[@d-l-d-l]

Omg hi vihart! I'm so glad you posted something again :D Have a great day!

[@MajikkanBeingsUnite]

It's wonderful to hear from you again, Vi Hart! You always make me smile - and think 😸

[@ayya26]

i died when she pulled out daetchwita yoongi 😭

[@sophiamelinda1701]

vihart I've been in love with your channel for about 8 years now and have been a very, very big BTS fan for about 5 years, and this is the craziest crossover of my life. When you asked if the piece was a king and then said "yes, it is" and put daechwita yoongi on it, I had to stand up and do a lap around my bedroom. i love this and you, thank you

[@neil12]

When the world needed her most, she returned!

[@summerhunny]

i’ve been watching you for YEARS and now you make a bts video? OMGMGMGMGM

[@guppy8073]

This was so fun! I’m an army, haven’t seen any of your videos before, and I don’t like math, but I really love how you connected them together!

[@fruehlingsbotin]

hi ami! you should definitely watch some of her older iconic videos! it will make you appreciate math more and it's always pretty entertaining even if you don't like math :)

[@guppy8073]

@@fruehlingsbotin will do!!

[@pjzza777]

this is such an unexpected crossover that is extremely suited to my interests. love it

[@exquis_]

i found it cool how the designer incorporated the infinite loop in the middle "the 8 shape" (i don't recall the eng name of the illusion) with two 7 numbers connected

[@Ana-id6uk]

Omg, you are right. Daaayum

[@abbyrae1105]

I used to love your videos, and seeing this now makes me so happy that you also like BTS 😭💕

[@pumpkinsproutarts]

I read an entire book because of bts Their influence is pretty incredible

[@Grassuke]

I feel so understood in this video, you truly articulate the joy of being a bts fan and constantly finding and seeking meaning in their art and its so fun and beautiful and amazing

[@seanc6128]

I enjoyed that you only had unconventional dice at hand.

[@PpeLizard]

"Don't sit around scrolling and waiting for the predatory things that want to find you..." Wow, that hit me hard, many thanks!

[@erinmeyers-t9w]

it makes so much sense to me that you would be an army LMAO, great video!

[@hannayu5453]

Wow. I started watching Vihart in 7th grade, then became a BTS fan in 10th grade. After 6 years, my world has converged in the oddest way.

[@humanrightsadvocate]

1. Maths is the language of knowledge. 2. But maths is incomplete. 3. And maths can't prove it's consistent. 4. And then you have the undecidability problem.

[@RandomAmbles]

If you like Gödel you should totally check out his completeness theorem! I learned about it recently and thought you might be interested.

[@7upvids]

Who’d a thunk that Vihart being a mega bts fan would’ve gotten us a new video AND a deeply inspirational quote at the end

[@CheeseWedge056]

Where did you get the baby dice, I need another set of dice and mini ones are cute

[@rosesinthegard3n]

ive literally been following you for a decade and i did not see this coming but i am elated. i hope ur having the best day vi 💞

[@starRushi]

Alternate Title: Vi Hart happily fan-girling over BTS for 7 minutes and 21 seconds.

[@PepsPotion]

Really glad you're still around to make videos 💟

[@HMS_Spartan]

Wow, you’re finally back! My favourite youtuber!

[@slodes.6634]

that monologue you had explains why i love math so much and how it changes how i see the world but honestly i think you’re more nerdy than me because you made it sound so much cooler than just “the beauty of numbers”

[@TheSamkrox]

Omg Vi’s alive

[@martaleszkiewicz5115]

I love you Vi, I don't know why I stopped watching you for a few years, I'm not even a BTS stan, but the title got me curious and I got more from it than I expected. I'm going through a rough period in my life and this video cheered me up and inspired me in ways I didn't expect. Thank you so much and nice to see you again!

[@MythOfLight]

you've seen BTS x mcdonalds, now get ready for BTS x vihart

[@barryeylle9760]

PIN THIS, VI

[@CXT14GamerMouse]

I don't even know what BTS is, but vihart could talk about it for 3 hours and I would not care. Also thanks for the ending, that was beautiful.

[@barryeylle9760]

they are a korean musical group!

[@prajakthamallya9818]

WORLDS COLLIDING JCHSHKDBS

[@theatmthanksme8727]

Hey just wanted to say you taught me and my father that math can be creative and fun. Thank you

[@ScribeofAryxa]

Vihart you're ARMY?! Vihart i've subscribed to you from my early nerdfigther days so my little army-nerdfighter heart is grateful for this video. 💜

[@simplecoffee]

Vi, this isn't just the K-pop fandom, it's pretty much every fandom. What you described is the fandom experience. I'm glad you get to have it too! :D