The BTS Octahedron 

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.

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

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

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.

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! 💜

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

Vi emerges out of the triangle realm to deliver another video

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

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

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 :)

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

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

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

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

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!

"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."

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)

vihart was the first RU-vid 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!!!

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

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

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

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

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

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

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

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

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

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!!

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

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

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

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.

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!!!

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

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

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

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

SHES BACK

Seeing a Vihart notification is always great

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

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

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

You are the only person that somehow makes math interesting

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

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

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

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

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!

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

kpop really does get to everyone huh

YOURE BACK!!! We missed you

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

At last she has returned

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

SHE’S RETURNEDDDDDD

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

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

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

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!

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

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! 🌻

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

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]

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

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! 💜

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 💞

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.

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.

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

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

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

nothing gets me happier than a vihart video about octahedra

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

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

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!

Really glad you're still around to make videos 💟

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

Woahh Vihart making a video mentioning BTS 👏 I’ve loved your channel for years

I didn’t know I needed this till now 🥺

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”

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

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

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

I loved your concluding paragraph, its inspiring ✨ I love how you encourage us to ask questions and find answers

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

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

When the world needed her most, she returned!

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.

🔹 I love the tiny one

I've been a fan of you longer than I've been an ARMY. Thank you for this awesome video!

Instead of ‘BTS is 7’, I took the logo to be 2 in Roman numerals, and then the visible numbers would all be powers of 2, which I've always liked.

Thank you for this nice video. I had fun watching it and applaud your conclusion at the end. Nicely put.

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

Damn I haven't watched your channel for years and when I randomly decided to check your channel again this is what I saw as someone who recently got into them. How wild.

Not a fan of K-pop, nor pretty young-people groups. But even I gotta give props to BTS for their Twitter game of co-opting alt-right hashtags and overwhelming the hill-billy rage-cultists with their own fans' good vibes. Maybe one day, I'll even learn one of their names.

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

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.

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

WORLDS COLLIDING JCHSHKDBS

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