So happy I had you as a prof at OSU. This is on my must have list of puzzles now.
@Red5rainbow
2 жыл бұрын
I mostly know OSU as that rhythm game so when I read this I was briefly confused and thought you were making a weird joke I don’t get … it’s pretty obvious you were talking about a university though, silly of me to get confused
@Flare-nd
2 жыл бұрын
@@Red5rainbow *quietly farming harumachi clover*
@vrljk
2 жыл бұрын
@@Red5rainbow same
@akasakasvault7597
2 жыл бұрын
@@Flare-nd a one, a two
@Flare-nd
2 жыл бұрын
@@akasakasvault7597 a one two
@stumpanimations2431
2 жыл бұрын
I dont know what he’s saying but all i know is that this toy looks smoooooth.
@duckloll2579
2 жыл бұрын
yeah lol
@TheRealStructurer
2 жыл бұрын
I was about to say the same. I really like the mathematical part of it and how the paths are displayed 👍🏻 Would like to get one!
@laotzunami
3 жыл бұрын
Instead of 3D printing the pegs into the puzzle, you could print the holes for pegs and the pegs seperately, so you could rearrange them and make different mazes! Then you could publish all of the most interesting mazes you found with your computer search so people could try them out, maybe categorizing them by difficulty, length, looping and deadends, so people know what the maze will feel like without seeing a graph of the solution.
@henryseg
3 жыл бұрын
Unfortunately, there's very little space to attach a removable peg. There is only a small gap between the foot and arm of the rook, and any kind of hole for the peg would have to fit in there. I can imagine some kind of deluxe version with a taller rook and thicker sphere, that would give enough space for this. But again, it would be considerably more expensive, unless someone decided to make a mass-produced version.
@laotzunami
3 жыл бұрын
@@henryseg you could make little C clips that clip onto the side and block the rook arm like a peg would.
@nerdiconium1365
3 жыл бұрын
Okay, working out odd vertex figures should allow full access to all the platonic solids (though cube and tetrahedron might be a bit easy) though I feel a 10 foot rook for the icosahedron might be troublesome
@henryseg
3 жыл бұрын
Right, I've thought about the icosahedron quite a bit. I don't see how to allow movement in five directions at a vertex but disallow rotation in place. Would love to see a solution!
@sporeplayer4
2 жыл бұрын
@@henryseg a floppy base? the peg can move around and the channels are like what aluminum extrusions have so its captured?
@Excalibaard
2 жыл бұрын
@Henry Segerman Maybe if the 'rook' is not a solid piece but has some moving components, you could add a sloped or rounded bottom of the 'feet' (eventually with a spring to push it down and to attach it to the rest of the rook) and a recess in the piece itself for the feet to move up in. This would allow the peg in the way of the direction that you're moving to be lifted up. As long as the rounding is only in the direction of the lanes and not towards the sides, it should still prevent rotation on the node itself.
@alleycatsphinx
2 жыл бұрын
@@henryseg triacontahedron? *shrug*
@DanDCool
2 жыл бұрын
@@alleycatsphinx what are these-
@laotzunami
3 жыл бұрын
I'd love to see an Archimedean solid next, like a truncated icosahedron. I bet you can make it work with your existing hexagonal rook. For the crazier shapes, the problem is the intersection of sides need to meet at congruent angles, but you could solve this by gently warping the curve of the sides. These holonomy puzzles are some of my favorite things you've made so far, can't wait to see what you come up with next!
@henryseg
3 жыл бұрын
Yes, some warping of the geometry would likely work for something like the truncated icosahedron, but I worry about having any non-uniform geometry. Without mathematical guarantees of uniformity, it would require a bunch of prototyping and testing to get the movement to be smooth everywhere. For the truncated icosahedron, I think you'd get holonomy around the pentagons, but not the hexagons. I'm not sure if that would make for an interesting puzzle or not. It would also be much bigger and much more expensive...
@fallen3424
2 жыл бұрын
@@henryseg you might want to consider getting a 3D Printer yourself to worry about the cost of parts less.
@henryseg
2 жыл бұрын
@@fallen3424 I have a desktop printer. They do not give as good results for mechanical parts as Shapeways' SLS process. They also require a lot of cleanup of support structure. They can be useful for prototyping small scale components of a larger object.
@BorderKeeper
2 жыл бұрын
Is there a way I could purchase the model itself in order to print it myself or is buying it physically the only option?
@OskarPuzzle
3 жыл бұрын
Nice!
@jschnei3
3 жыл бұрын
Hey, it's the puzzle maestro himself!
@thisflyingpotato4227
2 жыл бұрын
That would be cool to have multiple sets of paths with increasing difficulty and allow rotation of the piece at it's original location to "set" the difficulty
@PlaySA
Жыл бұрын
I think you'd need a much, much larger maze for that. Or else it would need to include clips or pegs you could stick in to change the blocking spots.
@theghostinthemachine
Жыл бұрын
... Possibly using either self-lifting pegs, a sensor, and a computer system or else some very elaborate clockwork. Or just pegs and an instruction book.
@Quartz_Composer
2 жыл бұрын
What an interesting application of Grasshopper! I’m an architect and use it for my work all of the time.
@henryseg
2 жыл бұрын
Grasshopper, secretly making architects do math since 2007.
@mananself
3 жыл бұрын
I’m glad that I contributed a little bit!
@danzirulez
2 жыл бұрын
Amazing math went into a brilliant puzzle! Well done man!
@LawtonBoo
2 жыл бұрын
Holy shit I just found your KZitem! Loved taking Calc 3 with you! Very interesting both in class as well as here!
@ihaveseverefrootsnackism
2 жыл бұрын
How is this not more popular? It's absolutely amazing and underrated
@FainthedCherry
2 жыл бұрын
Maths dude. Anything that looks complicated won't be clicked on by some ppl like me who despise maths lol.
@ihaveseverefrootsnackism
2 жыл бұрын
@@FainthedCherry then how did you get here- lol what
@guycross493
2 жыл бұрын
Because of cool toy thumbnail
@dudelookatree
2 жыл бұрын
...I do not think I will be able to pirate this design. Excellent work!
@DanielRut
11 ай бұрын
Is there any way we can buy the 3d model not printed? I have access to an sls machine and it just makes no sense to buy it from shapeways. Ill happily match or exceed any margins for you.
@icedragonaftermath
2 жыл бұрын
You know, these really make me wanna make some kind of game that uses these different spherical mazes you have to navigate to gather artifacts and solve puzzles to unlock different rooms with different layouts and what-not.
@brianh.000
Жыл бұрын
Cool! Nice to see a real-world application of complex ideas.
@Tletna
2 жыл бұрын
I didn't know if I'd like watching this video at first, but after it already finished I was waiting for more of it. This was a good short video on an interesting topic.
@PrincessColumbidae
2 жыл бұрын
Very cool! I saw this on Mr Puzzles channel.
@aflirhtihrasdljksladj7838
11 ай бұрын
I think it may be a nice idea to modify the rook and pegs to allow one-way motion. For example, so you can move the rook through the peg if the rook moves at an obtuse angle, but not at a sharp one.
@sergeykononov1673
2 жыл бұрын
look AMAZING! so much effort, LOVE IT
@laaaika
2 жыл бұрын
I don't know how I ended up here, but I'm glad that KZitem's algorithm showed this to me... That's so cool, man!
@b.a.t..
2 жыл бұрын
I understand so little but my mind still blown so much
@lamenwatch1877
2 жыл бұрын
This is super neat. Great work!
@STS232323
2 жыл бұрын
I just stumbled upon your channel, and I dont know how I got here, but thats really cool!
@DemonixTB
Жыл бұрын
as the obsessed novice programmer I am I must point out that using python for the search caused it to be roughly 100x slower then a regular implementation in other languages, and at least 8000x slower then a truly fast cpu only implementation could be (utilizing features of the cpu the python interpreter could not possibly take advantage of) , which would have made the full search possible and the search you did take less then a second. This is not an attempt at a jab at you, I think it's awesome that you did this!!! this comment is just an outlet for me to vent my frustration at modern software and the people who create it, disregarding precious time of people like you :P
@henryseg
Жыл бұрын
Python has the advantage that it is fast to program in, which was definitely the bottleneck for this project.
@BergfelderVideos780
2 жыл бұрын
I'd love to see more graphs from start to finish of other possible mazes like at 2:50 and 3:00
@CS_Mango
2 жыл бұрын
As if a rubix cube isn't cursed enough.
@randomviewer896
3 жыл бұрын
Would it be possible to build a rook for the the truncated icosahedron?
@henryseg
3 жыл бұрын
The angles at a vertex of the spherical truncated icosahedron are not all the same, which is a problem for designing the way the rook fits into the rails. Maybe with a bit of fudging it could be done. I think that the result would be that you'd only pick up holonomy when going around the pentagons, not the hexagons.
@neopalm2050
3 жыл бұрын
I think it'd be possible if you were to somehow allow 29 orientations at each vertex. That's quite the ask though. With the current design that would probably make it need to be a bit too big to use. That is, if you want to not fudge things. Even an icosahedron (only 5 orientations at each vertex) is hard to implement a rook for.
@laotzunami
3 жыл бұрын
@@henryseg If you gently curved the sides of the pentagons, then the intersections of the truncated icosahedron would meet at congruent 120 degree angles. I second this request, I'd love to see a truncated icosahedron holonomy maze!
@melwugon3687
3 жыл бұрын
Absolutely amazing
@juliaportes6603
2 жыл бұрын
2:56 ah yes the classic "Woman being Pulled By Ger Big Bird While On a Walk" maze
@strixt
2 ай бұрын
Underrated comment 😂
@erner_wisal
2 жыл бұрын
If this is not a maze this could be a great fidget
@neopalm2050
3 жыл бұрын
Is it possible to make one for the great stellated dodecahedron? I would guess it gives different mazes to the regular dodecahedron but I can't be sure. I think I can imagine a way to make the crossings work. My idea involves an extra piece attached to the rook which forces the rook to move along edges but the vertices and crossings are designed differently so that this piece is only allowed to turn at the vertices. It's possibly more convoluted than it needs to be though.
@henryseg
3 жыл бұрын
Interesting... I would also guess that the graph for the dodecahedron is different from the graph for the great stellated dodecahedron. Moving parts on the rook does sound potentially complicated. And any extra moving stuff greatly increases the chance of mechanical failure.
@neopalm2050
3 жыл бұрын
@@henryseg Wait never mind I think it might be possible even without any special measures. If the foot of the rook is 6-way, the vertices are 3-way, and the crossings are 10 way, then there won't even be a way for the rook to go a different way at the crossings.
@IsaacKuo
2 жыл бұрын
How about a distorted icosidodecahedron? With a little distortion, it has 90 degree intersections. So, you can use the same 4 way rook as the octahedron version. But now there are 60 segments (5 great circles instead of just 3). If you move the rook around a (puffy) triangle, it rotates 90 degrees one way. If you move the rook around a (pinchy) pentagon, it rotates 90 degrees the other way. The ultimate size of the holonomy maze is 30*4 = 120, which is the same as the dodecahedron (20*6). But I expect it's not connected the same way.
@dlmsarge8329
Жыл бұрын
I know you're speaking English, and I speak English and yet . . . Thanks for posting this videos. I don't real understand them at all but I watch them and find them interesting.
@logansmith-perkins515
3 жыл бұрын
Are there any resources for complex polygons and two fold quotients? I have no idea what those are lol
@henryseg
3 жыл бұрын
I don't know much about regular complex polygons, but the best reference is Coxeter's book Regular Complex Polytopes. I'm more familiar with two-fold quotients. Another way to say it would be that 2{10}3 is a two-fold cover of the graph for the maze. Look up "covering space" for what's going on there - the Wikipedia page is, as usual, not great if you're trying to learn something, but, e.g. math.uchicago.edu/~womp/2004/athomas04.pdf looks good if you have at least an undergraduate math background.
@logansmith-perkins515
3 жыл бұрын
@@henryseg Thanks so much! I appreciate this a lot. I love your videos! I'll take a look at the resources. 😀👍
@logansmith-perkins515
3 жыл бұрын
Also I have never encountered a really good Wikipedia article on anything
@mananself
3 жыл бұрын
@@logansmith-perkins515 I started by reading about the Wikipedia page on Complex Polytope and then bought Coxeter’s book.
@logansmith-perkins515
3 жыл бұрын
@@mananself I might also buy that book then 🤔
@kyronix560
2 жыл бұрын
oh my god... you pulled that eldritch abomination out and I really am bottom tier intelligent
@gary-huang
3 жыл бұрын
Extremely fascinating video!! What is the application you used at 3:11? Thanks in advance.
@henryseg
3 жыл бұрын
That is Grasshopper, the visual scripting language in the 3D design program I use, Rhinoceros. www.rhino3d.com/
@gary-huang
3 жыл бұрын
@@henryseg thank you very much!
@Traplock1
2 жыл бұрын
Is there a download for the 3d files?
@DirtEChip
3 жыл бұрын
Thanks for sharing!
@dolphinpower1107
2 жыл бұрын
Why did KZitem recommend this to me, my brain ain't nearly big enough for any of this.
@xaytana
3 жыл бұрын
If you could make a regular tetrahedral holonomy maze and a regular hexahedral holonomy maze, combined with the information gathered from the octahedral and dodecahedral holonomy mazes, if there's a pattern that follows a line or curve, that could predict how insane the icosahedral holonomy maze would be. I'm also curious about Archimedean and Catalan solids as holonomy mazes, some of the regular-faced Johnson solids could also be interesting.
@henryseg
3 жыл бұрын
The icosahedral maze would have 120 vertices, since there would be 12 vertices on the icosahedron, with 10 possible orientations at each. I'm not sure how to design the geometry of the foot and rail to work for the less regular polyhedra.
@alcyonecrucis
2 жыл бұрын
Holonomy is so crazy I first found it when using those molecular viewing programs when trying to rotate ... so annoying lol
@barton9281
Жыл бұрын
This should be mass produced.
@titouant1936
2 жыл бұрын
Loved the animation, would be also cool see it with the rook fixed and the sphere moving :)
@titouant1936
2 жыл бұрын
*to see
@-hollythekitsune-7086
2 жыл бұрын
Bro your voice is so calming
@Théo-Delamare
3 жыл бұрын
that is insane !
@nepdisc3722
2 жыл бұрын
this makes my brain itch, but in a good way
@nrdfoss
2 жыл бұрын
the title burns my brain already
@hy_pix6819
2 жыл бұрын
I know nothing about what he was saying, but that maze is so cool
@MarinusMakesStuff
2 жыл бұрын
So incredible to see your Grasshopper definition. I'm just playing with it for about half a year now, without any real lessons. I am able to make my artworks with it, but this is still way above my understanding. Where and how did you start using Grasshopper if I may ask? Do you have any resources that you can recommend?
@henryseg
2 жыл бұрын
I’ve asked David Bachman for help a bunch of times - his book is a good place to start.
@MarinusMakesStuff
2 жыл бұрын
@@henryseg Look, now that is a good lead! Thanks for replying Henry! I'll let you know how it works out :)
@breadboi9065
2 жыл бұрын
I like your funny words magic man
@isabellamontoya9148
2 жыл бұрын
I like this I would buy these maze puzzles I'm just someone who loves puzzles and higher level thinking also I'm a gamer I love the old school ways of doing certain things like the smell of a brand new book I'm okay with paperback but sometimes I love hardback preferred old school things like Egyptian mythology this is my kind of jam right here
@eleanorsherry4620
3 жыл бұрын
so cool! (also good to know someone else has covid hair)
@pedroivog.s.6870
2 жыл бұрын
I really would like to appreciate what recommendation shows me if I knew anything about it
@treborhuang233
2 жыл бұрын
Can we get a maze whose structure graph is the double cover of this one? (This is mentioned at around 1:48) If so, we can get a very physical realization of spinors.
@megaoof7184
2 жыл бұрын
I think this guys can visualize the 4rth dimension
@FTMothman
2 жыл бұрын
This dude: here is a complex puzzle I made Me: I like this, this is cool, I will now proceed to have a hyperfixation on this and then search for the video later.
@stankolodin5586
2 жыл бұрын
I only understood the part when the rook moves and that the holes are a pentagon.
@alleycatsphinx
2 жыл бұрын
Incredible work. : )
@thegreatchrispy
2 жыл бұрын
Perfect example of a problem I'd love to explore but lack all of the fundamental language used.
@wxbrainiac
2 жыл бұрын
i dont know why i clicked on this and i dont know what the words in the video mean or the context but you know i dont regret watching it
@LeoStaley
3 жыл бұрын
Yaaaay!! You made it!!
@checkgames4738
2 жыл бұрын
woh big numbers. anyways, that looks like a cool toy
@chepulis
2 жыл бұрын
Outstanding.
@emfuega
11 ай бұрын
Cool puzzle but did you begin construction on the Turbo Encabulator
@kylerkwiatkowski6990
Жыл бұрын
I too enjoyed RaC 2's puzzles
@davideizzo2683
2 жыл бұрын
This toy shape reminded me of super mario galaxy worlds, like the ones with a black hole inside a planet. Maybe using a similar "skin" may make it a popular toy, idk but I would buy it
@dantesmith3664
Жыл бұрын
thats so cool. thanks for sharong
@purpledevilr7463
2 жыл бұрын
These could be sold alongside runic cubes and do quite well.
@Salvanim
2 жыл бұрын
Can you make a Goldberg polyhedral holnomy maze?
@qwertyasd6455
Жыл бұрын
"as you can see its pretty complicated" Bruh i didnt understand even a single part of this thing
@MeshremMath
11 ай бұрын
Where can I research what x{y}z means?
@rusk4373
2 жыл бұрын
I love listening to words I don’t understand
@TheMemesofDestruction
3 жыл бұрын
Dr. Matsumoto is Awesome! ^.^
@henryseg
3 жыл бұрын
Thats Dr. Matsumoto.
@TheMemesofDestruction
3 жыл бұрын
@@henryseg Omg, I knew/had access to that information! I apologize. Editing now.
@Blindseeker82033
Жыл бұрын
Wow. Impressive.
@googleyoutubechannel8554
Жыл бұрын
Waiting for the inevitable shader code that solves these in under 1ms.
@Ener-G
11 ай бұрын
It takes me weeks to translate any of my ideas from one software to another, so seeing all of the different ways you represented this system is mind-boggling. Do you find that your knowledge of mathematics and computer science removes most of the difficulties you would otherwise face when translating, or is it mostly experience with previous projects that makes you more efficient? Most of my projects start with creating a system of equations in Desmos. Those are easy enough, but making a program that produces the same graph by using time as a parameter for x and y - It's always more complicated than I expect. And even when I succeed, sometimes the program is so slow that I have to spend weeks learning how to optimize the thing. It's fulfilling when all is said and done, but until that moment, the setbacks are very frustrating. Do you have any general advice or resources that I would benefit from? Perhaps something to organize everything more easily instead of drawing finite-state automata on scratch paper? 😂
@henryseg
11 ай бұрын
It took me nine months from starting to code up the shape to getting the video out… I’m not sure if you’d call that efficient! Converting a graph y = f(x) to a parametric form should be fast… just set r(t) = (t, f(t))?
@chinadragon27
Жыл бұрын
bro i wish i have a 3d printer because i also wanted that but if you can can you print it for me?
@water1374
2 жыл бұрын
I do not know how I got here, I do not know what a holonomy is, all I know is that I am now slightly smarter
@nemopoint1254
Жыл бұрын
Is there any way to purchase holonomy maze from Japan( not hit in Amazon japan )?
@henryseg
Жыл бұрын
You can buy from www.shapeways.com/shops/henryseg?section=Holonomy+mazes (note that the maze and the rook are separate purchases).
@TonyJaboney
3 жыл бұрын
Very cool! Do you model most of your models in GH?
@henryseg
3 жыл бұрын
I wouldn’t say “most”, but I’m getting more into it. It’s great to have sliders when you need a lot of construction before you know exactly what the basic dimensions need to be. But for “aftermarket modifications” I find plain Rhino easier.
@dreamseeker3721
2 жыл бұрын
Whats gh
@TonyJaboney
2 жыл бұрын
@@dreamseeker3721 Grasshopper , A visual programming interface for Rhino 3D
@ДаниилСоколов-д7ъ
2 жыл бұрын
For me, a good maze should be measured not by the length of the path, but by the number of intersections on it.
@dandeeteeyem2170
2 жыл бұрын
That is effinamazing 😮❤️
@coffeeicecubes2419
4 ай бұрын
brilliant!!!
@glowytheglowbug
Жыл бұрын
this is amazing
@Jaggerbush
2 жыл бұрын
Is there a merch page to purchase any of these models?
Hi Henry, the company that sold these models seems to have gone out of business. Are they available anywhere else? I had planned on buying one for a bit and was sad to see them not being sold anymore.
@henryseg
Ай бұрын
It might take a while before I get prints set up elsewhere unfortunately - there isn’t an exact equivalent to the service Shapeways used to provide :(
@pigeon_stab6981
2 жыл бұрын
This is the type of math i wish i knew everything about but would absolutely hate learning about in school lmao
@WilliamWizer
Жыл бұрын
I'm quite sure it's impossible but, could you manage to do a maze on a rhombic triacontahedron?
@Kerbiter
2 жыл бұрын
Damn, as a fun of different puzzles I really like this, but unfortunately with the already expensive price because of SLS printing + shipping it's even more costly for me relatively because I live in a poorer region of the world. Hoping for less expensive/DIY options soon.
@kubasienkiewicz7320
2 жыл бұрын
Will you sell stl?
@Rubrickety
3 жыл бұрын
I don’t think you included info on where you can order this one in the video. Perhaps add a link?
@henryseg
3 жыл бұрын
There should be a link first thing in the description!
@Rubrickety
3 жыл бұрын
@@henryseg My bad, I was watching on the KZitem app on iPhone, which hides the description in a non-obvious way.
@willnewman9783
3 жыл бұрын
I see that you have these for sale, but they are rather expensive. It would be cool if you could sell virtual versions of these, which would almost certainly be cheaper.
@henryseg
3 жыл бұрын
Yes, unfortunately SLS printing is expensive, and I don't think they would print well on a desktop printer. By a virtual version, do you mean like an app for phones?
@Laff700
3 жыл бұрын
@@henryseg I think they mean like a video game which utilizes that render you have of the puzzle being solved. The player would have up to 3 choices each turn to determine which direction will go. You could also allow them to switch the view to the graph variant so a user could see where they are on it. It could also allow the user to easily make new puzzles.
@henryseg
3 жыл бұрын
@@Laff700 Right... yes something like that could work. I'm more interested in making physical puzzles at the moment. For one thing, they don't tend to break when the operating system updates...
@Laff700
3 жыл бұрын
@@henryseg Neither do things programmed in decent programming languages.
@Icelink256
2 жыл бұрын
@@henryseg I've been running the same pixel art software since 1995, and it works wonderfully in Windows 10! I think you'd be fine... :P
@frogmouth2
Жыл бұрын
I’d buy this in the indigo games section
@dagyadg
2 жыл бұрын
This is just 3D printed right? Why not offer the files for sale?
@legendgames128
2 жыл бұрын
Try a tetrahedron and see if there are 5 states for the rook.
@WickedV3ng3nc3
Жыл бұрын
Amazing
@erikhaag4250
2 жыл бұрын
I might be going insane but hear me out, so the octahedron maze has 24 states and the platonic polytope whose cells are octahedron is the 24 cell, now the dodecahedron maze has 120 states and the platonic polytope whose cells are dodecahedron is the 120 cell. this seems to good to be a coincidence.
@henryseg
2 жыл бұрын
There is some sort of connection there - the orientations of three-dimensional objects (e.g. the rook) naturally live in SO(3), which is topologically RP^3, which is double covered by S^3, which is where the four-dimensional polytopes live.
@erikhaag4250
2 жыл бұрын
after some math, the tetrahedron, cube, and icosahedron don't follow the pattern, the value from the rook states give 24,32,120, respectively when the polytopes 5(or 16), 8, and none so unfortunately, it was a happy accident.
@MeshremMath
11 ай бұрын
There are only 2 positions a rook can be in on each vertex of a tetrahedron, so there are 8 total possible positions it can be in on a tetrahedron. Also tetrahedrons make up the cells of a 600-cell.
Пікірлер: 269