Gear cube and Brain gear 

Explanation for how the three years work together: Each of the "gears" on the brain cube is actually two beveled gears glued together. And so although they both move in the same spatial direction, one gear in the pair moves clockwise while the other moves counterclockwise. So at the corner with "3" gears, there are really six gears. It really comes down to the gears not being in one plane of rotation, but in three separate planes of rotation all turning towards the center of the face.

The earliest gear cubes were designed by Oskar van Deventer. He has a great channel here I recommend.

You are literally the only person in the world who can get me excited to learn about maths

Oskar van Deventer's "Gear Shift" comes to mind.

I remember discovering the wonders of gears as a little kid in the science museum. You would put magnetic pegs and gears on a metal table to make little gear rigs and I probably spent at least an hour just at this table making circles of gears. I discovered how 3 gears can’t meet at the same time, then how an odd number of gears can’t make a loop that turns. I learned about pulleys and how small and big gears make fast movements turn slow and vice versa.

came for the nerd stuff, stayed cause i fell in love with sabetta's claw hands.

LOL. The entire video i was wondering as to the purpose of the brain gear having that middle seem where the 2 sides of the gear were offset from each other and then Sabetta asked how the triangular gear fit was able to revolve. I assume the brain gear would be locked if that offset didnt exist, as there would be too much symmetry or something

A three set of gears only doesn’t work if they rotate either clockwise or counterclockwise due to alternation. On the brain gear, however, they rotate either in towards the center or out from it. This means they all turn the same way, therefore no alternation is required.

those are some seriously impressive natural claws

this is one of the best youtube channels by far

A very Oskar van Deventer presentation.

asmr + geometry = this video, like seriously, ya'lls voices make me wana sleep

I really enjoy seeing all these shapes and gear mechanisms that seem like they shouldn't exist. It's like 3D printed cursed geometry

The gear cube reminds me of Oskar van Deventer's Gear Shift puzzle. I bet the brain gear could be turned into one using a similar mechanism. Coloring the puzzle seems tricky, maybe each gear is multicolored and the solved state is when the colors are aligned from gear to gear.

mmm. very, very nice shapes. I love the relation between cubes, octahedrons, and cuboctahedrons so these have a very fun and juicy feeling in my mind.

Me rewatching the same 10 seconds because my brain auto focuses on the nails

I was exploring this a few years ago when I was playing around with bevel gears, and found that you can get more options for "cube gear" style gear systems by relaxing the requirement that all the gears be the same size. For example, I designed one based on a truncated icosahedron/dodecahedron, using twenty 12-toothed gears and twelve 20-toothed gears (no like gears ever mesh). I have to pay for 3D printing, though, and never got around to making a physical model.

> What your seeing here are two hints of motion in a 4th spacial demention (That's why they look so odd.) - Your watching a 3d slice of it. A larger chunk of it would be invisable (in the 4th D.). Which would be the 4D spheres of the truncated flat sides of the visable square cube.

I love your work. That is because it hurts my brain.

Coloring the gear cube is a neat idea.

It looks so trippy.

I think the reason why 3 double bevel gears work together is because putting 2 bevel gears back to back changes how it works in some way. Looking straight at the axis from one side has the whole thing rotating the opposite way as from looking at the other, so it works like having 6 gears together instead of 3. When I was thinking about this I thought up a way to show how double bevel gears and flat gears are fundamentally different. You bend 3 flat gears so they go together, side by side x3. They won't turn, but flip them all 180 and they would turn fine if they were meshing. You could bend the prongs 90 degrees so the gears mesh, and it I'm pretty sure it would work fine, like double bevels. I don't see how this lines up with the 6 gears thing I was talking about earlier though so I almost feel like that explanation is missing something. Idk, I'm sure this is already written down somewhere, but really interesting to think about. Great video as usual, and cool guest

i like to solve the 3x3 gear cube puzzle.. just love to watch it move while solving..

Herringbone gears and staggered herringbone gears are my favorite gears.

Very nice gears 👍On the things to improve for the channel, audio. Thanks for sharing 👍🏼

Fantastic! Thank you! ^.^

Interesting video. Thank you :)

The faces of the brain gear work because they are collapsing together, like having two pinions on the same rack. The reason they don't grind is because of the ½ step offset you've built into the two halves of each gear. Theoretically, you could produce similar mechanisms for each polyhedron with even sided faces or an even number of edges meeting to a vertex, no? That would indeed give you the tetrakis Hexahedron, but also potentially the Rhombic Dodecahedron, Rhombic Triacontahedron, deltoidal icositetrahedron, deltoidal hexacontahedron, and Disdyakis Dodecahedron. Perhaps others among non-isohedral figures as well.

Awesome! The cubed bevel gears...reminds me of a differential. A differential for two perpendicular (instead of linear, axles, maybe? Very cool indeed!

The triangle part does do opposing sides, and it works because it is not flat

Love the stereo sound in this video lol

the three gears involution and evolution is equivalent to the same movement in the general triangle constituted by three spheres which will behave in exactly the same way

I really like the "Rotating Equatorial Ring" effect you demonstrate at about the [0:55] mark. While you could just proportionately increase the number of gears & keep a perfect cube, could you also build a more complex "equatorial ring"- through adding more gear pairs - if you were to make the cube into an assymetrical pseudo-cubical form?

Kalian jenius sekali...saya sangat tertarik dan ingin sekali mempelajari materi yang kalian pertunjukkan. Sukses selalu dan Tuhan memberkati

Thanks for the video, for greeks mening a lot.

Mr. gear strikes again

have you ever visualized a auto universal gear box ?? thanks foe great videos!

The gear cube is fascinating, but I wonder if there is a practical application?

Fancy!

It a tilted triangle. That's why it works. Wow. Speaking of projects for a 3D Printer. :-) Nice!

Best date ever :)

I keep seeing the brain gear as a rhombic dodecahedron. Is it possible to do a geared closest packing?

Na verdade esse quebra cabeça eu não levei nem um minuto pra mim entender! Muito legal chou ,xou , de bola em valeu nota 10 parabéns 😂🤣👍

Wait a min.... I need to play with this! Is the STL file for the brain gear available? I'm afraid you've inspired me and now I'll be doing something stupid for the next 6 months. Haha

As a non-mathematician, non-engineer, non-whatever, I'll pose one most basic question. What can they be used for?

So basically one set has the axis of each gear cross at the center, while the other has each gear's axis be one side of an octahedron. I wonder if you can use the same design from the second set, but use a different polygon, say a dodecahedron?

cycles of gears need to have an even number of gears if they are planar gears lying on the same plane (or funny shaped gears arranged in the same way). In the second design, that set of three gears simply isnt arranged in such a way.

Cute!

U continue sir

First you play with some strange "cubes" and then creatures from hell come to torture you😅😅😅

so john lennon was right when he said in the future the instruments will be made with gearshblumbs and zapdungers

rhombic dodecahedron would be interesting!

What is the world record for solving that? My grandpa claims his a champion.

those are dual bevel gears so there are actually 6 gears there not 3, so it works the same way as 6 in a circle can work.

Neat.

Your audio was clipping in this video?

brain gear vs block gear

Am I able to buy any of these?

As long as it's a bipartite graph

i have a lot of difficulties understanding Sabetta 🤔Is it just me?

make them mesh and you have a Clockwork Ooze for d&d

Something something 3 right angles on a non euclidean sphere, something something same gear sizes.

These would be very cool in stainless steel.

Rotate in the same sense? It looked like l and r top and bottom were all opposite

What about the rhombicuboctahedron

brain gear cube

Pinhead gonna show up

14 - 24

There's functionally 6 gears there isn't there? There's 2 on each axis, so there's not really 3 gears That means that a person could, in theory, make a brain gear with 5 or 7 axes per side but not with 4 or 6 axes, right?

This is your brain gear on drugs...

Because there are 6 gears not 3 :)

BallBoxes BoxBalls BallBox BoxBall Ball Box...

😳

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oh god turn on the mono audio bleugh. great video otherwise

What's it used for?

the hell

the Chinese were making these things thousands of years back, its not exactly a new idea, they called them puzzle cubes and made them from metals and some were far more complicated that these plastic cubes,

Thats not what a gear cube is.