I made a hexahexaflexagon, but after overflexing it it warped and turned into some kind of hexaflexamöbius thing which proceeded to consume my local region of spacetime. 10/10, would flex again.
I love you're method of story telling, It's so engaging. "Imagine you're this person." "ok now stop being him, you're this other guy now." "alright now its 15 years later and you're a magician."
I just noticed that you can go from 1 to 6 and 2 to 5 and 3 to 4 and those are all opposite sides on dice. I've seen this before but that's the first time my brain picked up on that..
I cant belive i found this channel again after so many years, I spent so much of my earlier life watching these videos on and off alongside online math classes. Truely is a gift to find this again and waste time by learning things that are not what i should be learning at that moment. Hats off too you @Vihart, Its addictive as ever!
Listening to Vi talk gives me that sense of intellectual euphoria that I got as a child when I watched great astronomy or physics documentaries which covered ground new to me. I feel like my brain has switched to overclock mode to keep up. Everything else falls away and I am consumed by her obsession. Wonderful thought networks explode into life, but there is no time to follow them as I dash madly forward to follow the trail she's so quickly describing. I'm becoming addicted to her narrative.
So true. My schedule so far for 2021 is to not pay attention and instead practice advanced mathematics, something I got into in early 2020, because of a short essay I wrote on the cool stuff about 9, which lead to me to watch the 2020 anti-pi Vihart video, which I liked, so I watched MORE vihart videos, which led my suggestions section to show some Mathologer videos, and so on.
I watched these videos when they first came out and I just randomly remembered how to make a hexaflexagon and made one. Now I am on a hexaflexagon spree, endlessly watching your content and I currently have 5 hexaflexagons around me and paper ready to be made into more hexaflexagons. Help me I cannot stop, I am writing this comment as a brief escape before the flexiness of the hexaflexagon takes over everything
I personally like quadraflexagons. They're shaped like squares, and have around 8 sides, I've never bothered to count them. You don't need tape to make them, you get a square, cut a square out of the middle, and collapse the thing into a square in a way that gets really easy to do with practise but which is confusing at first. Google it.
FUN FACT! You can cut a square into--- well, basically any polygon on cutt-able material; though it'll probably work best on squares and rectangles--anything with just one snip of your scissors. Step one: fold your paper in half, from corner to corner, such that it resembles a triangle. Step two: fold the two 'bottom' corners together, and obtain a smaller triangle. Step three: cut the top corner off; if you're working with a square/rectangle, ensure that this 'lil snip is parallel to the corrosponding length of the square/rectangle.
The first episode I was like, "Oh cool you made that up? How neat, now I want one!" The second episode I was like, "Oh wait so you didn't make it up but someone in history made it up and now everyone knows about hexaflexagons, so much so that we celebrate the creator's birthday every October 21st? Wow..." Edit: I just realized that TH-cam didn't autocorrect the word, "Hexaflexagons"... that must mean...
You must not have listened to anything she said in the first video if you thought she made it up.
8 ปีที่แล้ว +9
I feel like not enough people appreciate the letter saying "first" when you talked about comments/letters. I've seen this video at least 8 times over the past 3 or so years and I love them more every time.
Holy Shit! I saw this video for the first time on October 21st. Yea - for you it's no big deal because I am almost guaranteed to happen since 1.2 million people saw this video, but for me the odds were just 1 in 365.25. WOOOOOOOOOOOOOOOOOO
How does flexigation complexity relate to mathematics of knots? I'm an electrician and my mind is regularly blown by how coils of wire or cable LOVE to tangle with each other because of the spiral 'kink' memorized in the structural lattice of the copper. The order of the spiral WANTS to tangle with the order of another piece, turning into chaos, but a particular kind of chaos that doesn't want to come apart. I'm convinced the desire of spirals to tangle has something to do with the structure of matter, maybe universe/reality too.
I made a hexaflexagon. I love this!! These blow my mind. What I'm curious about is how these even came into existence. These seem so random! I love it!
The reason that there are two of the same number in a different form is that they are turned inside out so you just need to fold it the opposite way when you start to fold it to get either form of the number.
Enormous thanks for these two videos! They bring back some tremendous memories! I regret only, stumbling onto this years after you posted it! While I wasn't around for the actual invention of these things, I *was*, for their Martin Gardner debut, in the Dec. 1956 issue of SciAm. And I remember, as a kid, then later as a teenager, then an adult, eagerly awaiting each month's column of MG by MG (Martin was just the sort of person who would make those initials match!). Back then I made models of many of the different hexaflexagons, the tri-, tetra-, penta-, all 3 hexahexaflexagons, a hepta-, and the 3·2ⁿ-face editions that are made from straight strips, where n = {1,2,3,4}. [# faces = {6, 12, 24, 48}. The 48-face model was made from a house-crossing strip that took a *lot* of taping, a *lot* of attention during the multiple foldings, and once assembled, was *very* thick & difficult to flex in all the possible ways - the Tuckerman traverse diagram for it is awesome! You can literally get lost inside there!!] Some time later, he wrote one of his columns about tetraflexagons, which have square (rather than equilateral-triangle) facelets, and when assembled are rectangles (rather than regular hexagons). Unfortunately, while somewhat interesting, they aren't as much so as hexaflexagons. I also wanted to add that I enjoy your sort of, rapid-train-of-thought style, which meshes remarkably well with my own thought process. I often get a giggle from correctly (or even incorrectly!) anticipating your mental locomotive ;-)
After learning how to make a hexahexaflexagon I wondered if it was possible to go even further. Behold: what I call an ultra hexaflexagon. I started to make a hexahexaflexagon by wrapping the strip of paper around to make the coiled strip of paper but I wanted to go further, so I wrapped that around and it was a doubly coiled strip of paper! I made this super coiled strip of paper into my ultra hexaflexagon. It has nine sides and it's really perplexing to try to think of all the different ways to fold it! I recommend making one! Also you can always go further and coil your coiled coiled strip of paper and so on! I advise everyone to do this at some point in their life, it's truly life changing and forces you to have lots of perspective in order to understand it.
Yeah, I was a high school nerd ('88) more interested in "weird math" like the four-color theorem, pentominoes, Life, and Mandelbrot sets. I'd scan Omni for their puzzle column, never was hardcore enough to delve into Gardner...seemed too much like studying. You are awesome... I'll binge-watch later when I'm not at work! Shared to Facebook.
I knew about some similar much more simple 4 sided paper thingy that a bunch of kids made in middle school but this is opening my mind to a whole new world of folded trippy paper tricks and I love it. I am learning so much..
My math teacher has taken the last 3 days off with us after our STAAR testing and (I'm in 7th grade) taught us how to make these as a way to reward us. We decorated these and made them out of a folded piece of gummy tape. There is a whole process with angles and stuff to make the triangles perfect, and a way to make the decorative paper, too. Our teacher knows this trick to find all the sides and it always blows us away, but she won't teach us. We learned how to make them the folding way. My Hexaflexagon is really big compared to this one, and looks like the cloth one, and our teacher says that some students last year made a HUGE one, probably arms length.
I made a hexahexaflexagon, but after overflexing it it warped and turned into some kind of hexaflexamöbius thing which proceeded to consume my local region of spacetime.
10/10, would flex again.
LooseElectronStudios Thus, the Hexaflexagon Safety Guide.
I wonder how many sides you can have on a hexaflexagon?
Lol, that just happened with mine today
LooseElectronStudios UK
It's true, I was the ö in hexaflexamöbius
I love you're method of story telling, It's so engaging.
"Imagine you're this person."
"ok now stop being him, you're this other guy now."
"alright now its 15 years later and you're a magician."
Watching this on hexaflexagon playlist and just noticed there are 6 episodes. Real smooth Vihart, real smooth
Could I use a hexaflexagon to cheat on a test? Like on one side its just a cool design but on the other side all the answers are there.
Harsh Patel Ikr
Harsh Patel theoretically.
Well not on a math test, i think math teachers know what a hexaflexagon is.
GENIUS
lol did that once... 7th grade 😂😂 teacher had no clue what they were
"We MUST create a DIAGRAM!"
"Really, it's not that hard."
"No... diagram!"
lol
Me and my math teacher
Alena Qin LOLOLOLOLOLOL :D
...
Literally my favorite part of the video 😂
“The two five one loop”
The jazz side of TH-cam would like to know your location
* tough guy finger snapping *
..... I swear I put blue on this thing
OH MY GOD I FOUND IT!!! IM NOT INSANE!
LOL
I'm gonna make one with an ameterasu, sharingan and rinnengan. BC WHY NOT CHALLENGE MY SUCKY DRAWING SKILLS AND HAVE FUN WITH IT! :D
Ɗιαζ ͒ _ ͒ 👌
I don’t.. get it....
I just noticed that you can go from 1 to 6 and 2 to 5 and 3 to 4 and those are all opposite sides on dice. I've seen this before but that's the first time my brain picked up on that..
GuestR 2 years late but it always adds up to 7
Coincidence? I THINK NOT!!
I cant belive i found this channel again after so many years, I spent so much of my earlier life watching these videos on and off alongside online math classes. Truely is a gift to find this again and waste time by learning things that are not what i should be learning at that moment. Hats off too you @Vihart, Its addictive as ever!
gotta love the fanmail that says "first!"... i love this channel! its like a much more lighthearted numberphile
"No. DIAGRAM."
Also, marry me plz.
GamerGeek that "marry me plz" is shown in the fanmail thing. (In a hexaflexagon) here: 3:40
also surprisingly harder math than numberphile, but still not full on crazy stuff like mathologer or 3blue1brown
slendy9600 I didn't know ppl did the 'first!' comments in 2012
the letter "FIRST" was hilarious :-D
FIRST
pickle head that wa smy idea
pickle head oh and PICKLE RICK
This is the best tutorial to make a 6-sided hexaflexagon I have seen so far.
I like how she does a little roleplay thing while involving you in it
Listening to Vi talk gives me that sense of intellectual euphoria that I got as a child when I watched great astronomy or physics documentaries which covered ground new to me. I feel like my brain has switched to overclock mode to keep up. Everything else falls away and I am consumed by her obsession. Wonderful thought networks explode into life, but there is no time to follow them as I dash madly forward to follow the trail she's so quickly describing. I'm becoming addicted to her narrative.
When I heard the name "Richard Feynman" I literally said "WHAT!?!?" out loud
You learn more when you don't pay attention in class...
+Mark Jen Don't I know it...
I am literally late to class because I was watching this video.
So true. My schedule so far for 2021 is to not pay attention and instead practice advanced mathematics, something I got into in early 2020, because of a short essay I wrote on the cool stuff about 9, which lead to me to watch the 2020 anti-pi Vihart video, which I liked, so I watched MORE vihart videos, which led my suggestions section to show some Mathologer videos, and so on.
and when you watch videos
Martin was born on Back To The Future Day.
Coincidence?
Probably.
Wait, the comment has 7 likes and the replying user has a 7 at the end of his/her name. Coincidence?I DIDN'T THINK SO!
SomeTubinDude it's 10
now it has 12 likes, and 4x5=20 while 7+ the remaining nummber, 1=8 and 20-8=12, Haha, its all too easy.
now it has 15 likes, and 4+5-1+7 is 15. Coincidence? I DIDN'T THINK SO
no, what you are thinking, good sir, is 4+7-1+5=15, but still, ITS NO CCOINCIDENCE
The memories I just got re watching this video
HAPPY FLEXAGON MONTH EVERYBODY!!!!!
+crystal bubbles love your icon!
FAIRYTALE!!!!!!
Fairy tail
'So stop being Arthur Stone, and start being Bryant Tuckerman'
Homestuck vibes
MY EXACT THOUGHTS
YES
YES
I heard there was homestuck *arrives a month late with no upd8*
+Mandy Granger I... heard my name? I think? HS trash jr threshecutioner reporting for duty!
More people who are both HS and Vi fans! Woo!
I watched these videos when they first came out and I just randomly remembered how to make a hexaflexagon and made one. Now I am on a hexaflexagon spree, endlessly watching your content and I currently have 5 hexaflexagons around me and paper ready to be made into more hexaflexagons. Help me I cannot stop, I am writing this comment as a brief escape before the flexiness of the hexaflexagon takes over everything
I personally like quadraflexagons.
They're shaped like squares, and have around 8 sides, I've never bothered to count them.
You don't need tape to make them, you get a square, cut a square out of the middle, and collapse the thing into a square in a way that gets really easy to do with practise but which is confusing at first.
Google it.
I think they're called quadraflexagons, I'm not sure.
+The Pip I'm pretty sure it's called a hexatetraflexagon
Can't tell if you are trolling
FUN FACT! You can cut a square into--- well, basically any polygon on cutt-able material; though it'll probably work best on squares and rectangles--anything with just one snip of your scissors.
Step one: fold your paper in half, from corner to corner, such that it resembles a triangle.
Step two: fold the two 'bottom' corners together, and obtain a smaller triangle.
Step three: cut the top corner off; if you're working with a square/rectangle, ensure that this 'lil snip is parallel to the corrosponding length of the square/rectangle.
if there ever is a merch store, those name-tags should be in it
The first episode I was like,
"Oh cool you made that up? How neat, now I want one!"
The second episode I was like,
"Oh wait so you didn't make it up but someone in history made it up and now everyone knows about hexaflexagons, so much so that we celebrate the creator's birthday every October 21st? Wow..."
Edit: I just realized that TH-cam didn't autocorrect the word, "Hexaflexagons"... that must mean...
It's not yt which autocorrects words. It's your phone keyboard.
You must not have listened to anything she said in the first video if you thought she made it up.
I feel like not enough people appreciate the letter saying "first" when you talked about comments/letters.
I've seen this video at least 8 times over the past 3 or so years and I love them more every time.
3:42, the "first" comment/letter. smart funny
lol i didn't notice that
Yes indeed saw that aswell
I love how in-depth this was
I wish I could celebrate flexagon day during school, but my school has no classes today, and I got sick with a headache.
sAME ;N;
hashtagNight we dont have this festivity i hate lithuania
I envy you being able to stay from school from a headache. i have basically daily headaches...
Lol I initiated people at school by throwing flexagons at them
This is close to my favorite thing I have ever seen. Your voice, the style in which this is shot and the colors has me utterly hypnotized.
In many ways, I've fallen in love with the woman who makes these videos
I'm still trying to find the remains of my mind, and it's been nearly FOUR YEARS!!
Um... I found some on the street...
Here.
/-+hex
)-afl(*n
ex&*g)
ago*-+
n&)(
ff
Feynman: "No, diagram!" Hahahahaha! You rock, Vihart!
How random that i found this video on october 21th. And not even through the recomendations
"I keep them around, you know, in case of Hexaflexagon emergency!"
My dad watched this and immediately exclaimed, "Wow! It's math-gic!"
9 years ago . TH-cam algorithm may have gone mad. But this video is epic
*how have i never heard of this before?* i wish my school had celebrated this holiday.
I just realised it's October 21st today...
myweirdaddiction same lmao, I looked at my phone and gasped lol
same she said oct 21, i look at my clock and im like OMFG
what a coincide that i decide to rewatch this just now
Vegeta today was my first time watching it lol cx
even more of a coincidence it was my birthday 2 days ago
These Flexagons are my callingcard at school, I leave them everywhere
Holy Shit! I saw this video for the first time on October 21st.
Yea - for you it's no big deal because I am almost guaranteed to happen since 1.2 million people saw this video, but for me the odds were just 1 in 365.25.
WOOOOOOOOOOOOOOOOOO
Same here! WOOP WOOP
Wait, isnt that BTTF day?
+Geometry Dash Jake yes,yes it was
2 years later reading this comment on Oct 21st after watching this video for the first time...
xander lewis SAME
well I've seen the video before but that was years ago so dISREGARD THAT
IT'S OCTOBER 21ST!
HAPPY BIRTHDAY MARTIN GARDENER!
"I like to keep some ready to deploy in case of a hexaflexagon emergency"
This...this is math?
This is beautiful...
Math is beautiful.
I'm just beginning to understand that.
Look up "Mandelbrot Set" on Wikipedia and just look at the pictures.
Akil Harris x arhvwthrHbsgh
Absolutely LOVE her videos! Always make me laugh and smile! Keep shining! :D
This makes me so happy! When I was young, Gardner's column was so influential. TYVM
Vihart for president.
She'd just have waaayyy too much power!
Lady Daisey i vote!!!!
No, she moved to england
@@chucknorris9848 she lives in new york
my mind is getting blown too much
im showing this to my math teacher and automatically being the best in class
***** I showed my 12-hexaflexagon to my friends and they broke it.
PLEASE show us how to make one with more sides! I think 12 sides might be possible (and it would be absolutely INSANE to play with!)
can you do a tutorial on how to do these?
Yes please! all the other tutorials are too confusing! my first one was unstable and broke instantly. :(
How does flexigation complexity relate to mathematics of knots? I'm an electrician and my mind is regularly blown by how coils of wire or cable LOVE to tangle with each other because of the spiral 'kink' memorized in the structural lattice of the copper. The order of the spiral WANTS to tangle with the order of another piece, turning into chaos, but a particular kind of chaos that doesn't want to come apart. I'm convinced the desire of spirals to tangle has something to do with the structure of matter, maybe universe/reality too.
I made a hexaflexagon. I love this!! These blow my mind. What I'm curious about is how these even came into existence. These seem so random! I love it!
4 more days till HexaFlexa Holiday!
+Lebron The time has come!!! flex FLEX for the world to see!!!!
Jher Qin Yeap YEAAAH HEXAFLEXA HOLIDAY IS HEAR
aw I missed it :(
I have no clue how to make these it looks difficult
Lameashellcosplay same. (BTW nice profile pic)
Nathalio Razwanicz ty
Lameashellcosplay same
it looks it, but it's not that bad. There's a knack to making them really well.
This is actually keeping my mind off of depression and stressful shit
so if that paper was a little less wide then this would’ve never been discovered yet
OMG IT IS OCTOBER 21AS IM WATCHING THIS ITS LIKE TH-cam WANTED ME TO WATCH IT
+Haley Palmer ALSO HAPPY B-DAY DUDE
+Haley Palmer Back to the Future Woah!
Shankar Raghunandan
yeah lol ur kinda late
:(
Shankar Raghunandan
its fine but ur pic is pretty
The reason that there are two of the same number in a different form is that they are turned inside out so you just need to fold it the opposite way when you start to fold it to get either form of the number.
at 2:18 the hexahexaflexagon has a star in it already
"So you stop being Arthur Stone and you start being Bryant Tuckerman" Homestuck-
Man, these videos were recommended to me a little too late. I remember watching those years ago, now it's time to make more hexaflexagons
WE MUST CREATE A DIAGRAM!
Really it's not that hard...
No!! A diagram!!
*backs away*
UGH!!!!I CANT GOD DANM MAKE ONE IM LITERALLY SCREAMING RN!!!!
Follow her link to Gardner's original article. Go through it, taking your time. You'll catch on!
メガンmisty mee too 😭😭😭
this is 8 years ago... it's still a hexaflexa-masterpiece of a video
I'm still trying to make a hexaflexagon
Too much flex.....too much brain damage!!
dat FIRST letter doe xD
Enormous thanks for these two videos! They bring back some tremendous memories! I regret only, stumbling onto this years after you posted it!
While I wasn't around for the actual invention of these things, I *was*, for their Martin Gardner debut, in the Dec. 1956 issue of SciAm.
And I remember, as a kid, then later as a teenager, then an adult, eagerly awaiting each month's column of MG by MG (Martin was just the sort of person who would make those initials match!).
Back then I made models of many of the different hexaflexagons, the tri-, tetra-, penta-, all 3 hexahexaflexagons, a hepta-, and the 3·2ⁿ-face editions that are made from straight strips, where n = {1,2,3,4}.
[# faces = {6, 12, 24, 48}.
The 48-face model was made from a house-crossing strip that took a *lot* of taping, a *lot* of attention during the multiple foldings, and once assembled, was *very* thick & difficult to flex in all the possible ways - the Tuckerman traverse diagram for it is awesome! You can literally get lost inside there!!]
Some time later, he wrote one of his columns about tetraflexagons, which have square (rather than equilateral-triangle) facelets, and when assembled are rectangles (rather than regular hexagons). Unfortunately, while somewhat interesting, they aren't as much so as hexaflexagons.
I also wanted to add that I enjoy your sort of, rapid-train-of-thought style, which meshes remarkably well with my own thought process. I often get a giggle from correctly (or even incorrectly!) anticipating your mental locomotive ;-)
I can't really make them...it's hard...can someone help?
I have the same problem. I have trouble folding them.
You prob have it right, pinch it the other way to get all sides
nope
What do you mean nope?
Jangwoo Lee nope i can't help
You are really smart
this is officially my favorite channel
Can you show us how to make Them slower its to fast for me
+Silly banana Check out her first video on hexaflexagons, simply titled "Hexaflexagons", she shows how to make one there
+TheySmashedAnHourglass it to fast for me
Silly banana no they mean the first video, she tells you how to make one. You should check it out.
4:06 lol its actually october 21st when im watching this....
NOO I MISSED ITTT
After learning how to make a hexahexaflexagon I wondered if it was possible to go even further. Behold: what I call an ultra hexaflexagon. I started to make a hexahexaflexagon by wrapping the strip of paper around to make the coiled strip of paper but I wanted to go further, so I wrapped that around and it was a doubly coiled strip of paper! I made this super coiled strip of paper into my ultra hexaflexagon. It has nine sides and it's really perplexing to try to think of all the different ways to fold it! I recommend making one! Also you can always go further and coil your coiled coiled strip of paper and so on! I advise everyone to do this at some point in their life, it's truly life changing and forces you to have lots of perspective in order to understand it.
I want to join the Hexaflexagon Committee!
Me too
HATH Tristan Me three! ...even though I can't make a hexaflegaxon. Yet. You'll see... I'll learn... Someday... Eventually... Maybe... Hopefully...
Wait, did you say RICHARD FEYNMAN?!?!
umm...yes?
+SirNate Yes, and the Flexagon Committee actually did exist.
chsxtian That is actually the best thing I've ever heard.
I’m like 10 years after she posted this and still like it
At school lunch
"Hey Tom why do you lyke tiffany?"
"Idk she's pretty and nice"
"Ayo why do you like maggie so mutch"
"*she has hexaflexagons*"
2:30 Patrick Notstar.
Most captivating video I've seen recently!!!
I'm sorry but who brings glue to a lunch table
I do
incase of a hexaflexagon emergency
+They Wont Accept My Friggen Name :DDD
Those of the HexaFlexagon Committee™
I do...
Peple like me
PFFFF, That harry potter reference though XD
her hand writing is so good 😫❤️
I’m not gonna lie I lost a few brain cells watching this
1:30 I LOVE THIS PART
WE MUST CREATE A DIAGRAM :D
Really is not that hard..
NO, DIAGRAM!!!
I must say i have never been that impressed before in a youtube chanel
Damn this would be great for a magician noobie like me!
Creepycactus1 Well I did learn how to do the Sybil cut with cards... So not really a noobie but an average magician lol
i still dont understand how to do a hexaflexagon UwU *cries*
....wtf
instructions unclear, opened a multi dimensional gateway to flexagon hell
Ronnie Radke from Flexing in Reverse 🌚
Hahah
lol
Much conclusion, many wow.
Much doge, many references
Atomic_Science wow
It’s 6 years later so happy early hexaflexagon month!
*I NEED TO MAKE A DIAGRAM!*
Don't be so silly No... DIAGRAM!!!
No, diagram!!
Yeah, I was a high school nerd ('88) more interested in "weird math" like the four-color theorem, pentominoes, Life, and Mandelbrot sets. I'd scan Omni for their puzzle column, never was hardcore enough to delve into Gardner...seemed too much like studying.
You are awesome... I'll binge-watch later when I'm not at work!
Shared to Facebook.
I knew about some similar much more simple 4 sided paper thingy that a bunch of kids made in middle school but this is opening my mind to a whole new world of folded trippy paper tricks and I love it. I am learning so much..
this video was posted 7 year ago in my birthday, why did i just get it in my recommendations?
Everytime I watch one of your videos, my mind is blown
i remember making a very elaborate hexaflexagon and trying to figure this out in 8th grade. as a math major now, i wanna try this again!
It's been nine years. Why can I never stop at hexafleagons 1?
I can't wait for October 21st! I'm gonna show my math teacher this on the day!
Your voice helps me fall asleep (it’s a compliment)
My math teacher has taken the last 3 days off with us after our STAAR testing and (I'm in 7th grade) taught us how to make these as a way to reward us. We decorated these and made them out of a folded piece of gummy tape. There is a whole process with angles and stuff to make the triangles perfect, and a way to make the decorative paper, too. Our teacher knows this trick to find all the sides and it always blows us away, but she won't teach us. We learned how to make them the folding way. My Hexaflexagon is really big compared to this one, and looks like the cloth one, and our teacher says that some students last year made a HUGE one, probably arms length.