The Do-deca-hexa-flexagon

[@ijpete98]

I've constructed a few dodecahexaflexagons in the past, and interestingly, depending on how the twisting is done, it's possible to get a shape where there are indeed 12 faces, but one of them (a face with only one arrangement, rather than the two which allow for branching paths) is only partially accessible.

[@nicolasglemot6760]

Flex doesn't necessarily mean a flat shape though, it just means it changes when folded. Flexahedrons are definitely a thing.

[@poupysoopy]

last week i was on the bus wondering if it was possible to make a 12 faced hexaflexagon, now youtube recommends me this video. very happy it did, amazing video, will be trying to make one

[@R4ndomNMBRS]

But is the Dodeca-hexaflexa-hedron really not possible? 3D things that fold might be weird, but I suspect it could work in 4D.

[@ChurchOfThought]

> What now? Generalize! 🐈🐈🐈

[@martinschroederglst]

You must be the coolest maths teacher ever!

[@TierraUtopia]

I loved this video, I just wish the bit with the dodecaflexahexagon was slower to be able to appreciate its full beauty!

[@IcosahedronDodecahedralDual]

2:20 yes.

[@DeepaliKaranjavkar]

Hey Ayliean, I liked your video content and the way you passionately talk about maths. To be specific, I was watching your 'Maths Week Scotland 2020 Plenary Talk' video. I was looking for if you mention about Design & Architecture fields anywhere, though you did mentioned about art (aesthetic) & structures. I would love to see you talking about those fields too in few of your future videos. I'm your subscriber. Thanks.

[@Chrnan6710]

Mine's about 8in/20cm wide since I wanted to make sure there was enough room for the folds. The triangles are big enough that I was able to fit its Feynman Diagram ceremonially on the 12th side. It's one of my proudest creations :)

[@fernandoescobar4039]

wow..! super cool maths teacher...!

[@numoru]

Love this og. Man so cool of you to go back, hope to see more from you

[@MatSmithLondon]

INSTANT FOLLOW! Really hope to see more videos from you soon! Hope you are keeping well.

[@daybwendum]

So how do you actually make it?

[@pagesofpaper4792]

There’s actually a proof that shows that it’s possible to make a hexaflexagon with any number of sides greater than 3! Although the starting piece of paper won’t be a straight line unless the number is 3,6,12,24,48 etc. although at a certain point the flexagon starts getting too thick to actually work. Not only that, but there’s also ways to make flexagons that aren’t hexagonal in shape! You can even make flexagons that change shape as you flex them! And regarding the question of if a dodecaflexagon is possible, I know that you can make flexagons with hyperbolic curvature (as I’ve made one myself, where the faces are pentagons instead of triangles), so maybe it is possible to make one with spherical curvature. Flexagons are super cool!

[@pagesofpaper4792]

Where I said dodecaflexagon, I meant dodecaflexahedron. I don’t comment much on KZbin, so I don’t know how to edit the comment to fix my mistake.

[@sethicusiii7878]

Howwww?

[@donaldasayers]

I want to know how to make those pretty flowery polyhedra you have in the banner at the top of your homepage.

[@galacticduo4910]

Hi I was on today's webinar I subbed to u🤩🤩🤩

[@amazingbutno5303]

Your a god dam genius

[@murphygreen8484]

Vihart here?

[@omatic_opulis9876]

a storm what?

[@berhonkusbardledoo]

infiniflexagon

[@quantumchill5237]

*Déjà vu intensifies*

[@jaxamilius5237]

WOMANNNNNNNN DONT JUST END THE VIDEO LIKE THAT... explain that more!

[@wxffler]

I saw you on talentED

[@stonerbland7621]

This is engineering

[@quillclock]

there are these things i call "shape cubes" there are 2 brands making this right now Shashibo and Cubendi. they are the most fun fidget toy I've spent time with. it starts as a cube and you can fold it out into many shapes one being a dodecahedron. I would call that a flexa-dodecahedron

[@felixisc3062]

try the tera icosai hexa flexagon pls

[@BubbaYoga]

Pentagonism needs a definition.

[@H34L5]

It would be a system of thought based on the number 5. I think it pretty much already exists in TCM (traditional chinese medicine) with its 5 elements, 5 phases, etc. Humorism also has the 5 humors.

[@patrickbushdiecker8462]

If five people get into a heated argument with each other about drugs is it pentagonism?

[@patrickbushdiecker8462]

Agonists are substances that bind to synaptic receptors and increase the effect of the neurotransmitter. Antagonists also bind to synaptic receptors but they decrease the effect of the neurotransmitter.