Mathematical Construction of a Viking War Horn! - Tandis

  Рет қаралды 325,313

Aliensrock

Aliensrock

11 ай бұрын

Tandis Part 2 - this beautiful mathematics game gets better with every passing level. So many interesting shapes that used to be undiscernible now become doable with the help of prior knowledge. This game teaches you a language, and I am loving every second of it!
Edited by: / benbenranger
#aliensrock #puzzle #puzzlegame
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Пікірлер: 305
@Axelantic
@Axelantic 11 ай бұрын
Before watching Tyler I had zero interest in puzzle games, but this has been some of the most interesting content I’ve ever seen.
@aynonymos
@aynonymos 11 ай бұрын
I like puzzles but it's fun seeing how others use logic.
@Nevir202
@Nevir202 11 ай бұрын
Before watchin his Demon Crawl series I was NEVER able to understand Mine Sweeper. Now I've beaten that game on even the hardest difficulty, albeit with some lucky loot.
@masonengel1928
@masonengel1928 11 ай бұрын
@@Nevir202 I miss Demon Crawl those streams were so good
@Nevir202
@Nevir202 11 ай бұрын
@@masonengel1928 Never watched the streams, I prefer edited content, as I'm not really good at "watching in the background." so watching someone else play a videogame for 6 hours is significantly less interesting to me than playing a game myself. However, watching a tightly edited, 20-60 minute video that may represent 6 hours of gameplay? That's right up my alley lol.
@obelius_
@obelius_ 11 ай бұрын
I play completely different game genres to tyler but enjoy his content still, its calming 😂
@AssJagger
@AssJagger 11 ай бұрын
I like watching Tyler play this type of game because I know I am not smart enough to do it myself
@alexbarnes5359
@alexbarnes5359 11 ай бұрын
Same here
@masonboone4307
@masonboone4307 11 ай бұрын
Yeah
@noahkendrick
@noahkendrick 11 ай бұрын
Agree
@user-od2ld3jg9z
@user-od2ld3jg9z 11 ай бұрын
That's the reason I watched Tyler's Cosmic Express playlist
@JamesTDG
@JamesTDG 11 ай бұрын
Agreed, feels nice having a break from solving the puzzle in my head faster than the creator
@aa01blue38
@aa01blue38 11 ай бұрын
not gonna lie the editors' visualizations are insanely helpful here
@anorbinspace51
@anorbinspace51 11 ай бұрын
use ctrl to use a grid to get things more perfectly. just a quick note
@Not_mera
@Not_mera 6 ай бұрын
Are you shitting me? I 100% the game today... I read through the little launcher thing to make sure I wasn't missing any of the controls.
@BenjaminParker96
@BenjaminParker96 11 ай бұрын
This is probably most UNIQUE game I've seen in the past few months!
@benjaminanderson1014
@benjaminanderson1014 11 ай бұрын
Months? How about ever
@BenjaminParker96
@BenjaminParker96 11 ай бұрын
@@benjaminanderson1014 inscryption was pretty good though
@benjaminanderson1014
@benjaminanderson1014 11 ай бұрын
@@BenjaminParker96 Oh absolutely, Inscryption is an awesome game. It takes a lot of inspiration from other card games though, so wouldn't call it as unique as this game. (not saying it's worse, just less unique)
@pewpewpiedipie2673
@pewpewpiedipie2673 11 ай бұрын
In terms of creativity, I loved can of wormholes
@nluu8132
@nluu8132 11 ай бұрын
The editing is immaculate on this one, especially at 14:00
@palokyu9891
@palokyu9891 11 ай бұрын
I feel like every other comment is about the editing, and for good reason because *damn* his editors have been so good this past year
@Leveronicus
@Leveronicus 11 ай бұрын
I scrolled down and saw this comment at exactly this moment. Wow.
@IdoN_Tlikethis
@IdoN_Tlikethis 11 ай бұрын
also 11:23
@kianasheibani1708
@kianasheibani1708 11 ай бұрын
This game's design is very cool because it causes you to essentially invent mathematical and geometric concepts in your head as you familiarize yourself with the rules of the game. A lot of the more interesting examples of this were introduced in the last video (polar coordinates; circles, hyperbolas, and the fact that they are "opposites"; hyperboloids; construction of the torus (aka donut) by gluing the opposite sides of a square; the sphere as a degenerate case of a torus; and doubtless many more that I didn't even think to make the connection to) But this video has some cool examples of this too!
@kianasheibani1708
@kianasheibani1708 11 ай бұрын
Some notes I have while watching this video: - In the first puzzle, Tyler ends up stretching out a cylinder by a factor of 4, applying the waviness transformation to it, then reversing the stretching. This is an example a group theory concept called _conjugation;_ to be more specific, the waviness transform is being conjugated with the stretching transform to result in a new transformation that (to put it informally) "combines" the effects of both original transformations. - The square transformation (not the regular square one, the new square one) is homeomorphic to the circular one, but with the points on each radial line scaled by a factor of min(|sec θ|, |csc θ|). - Theoretically speaking, this entire game can be mathematically modeled as taking place within a space M x ℝ, where M is an arbitrary 2-manifold. Each of the tiles represents a coordinate chart on M, and the game involves applying the transition maps of these coordinate charts (with the third dimension not involving M being left unchanged). Combined with the rotations that the player can perform, this set of transformations forms a subgroup of the automorphism group on ℝ^3; the puzzle is then to find an element of this group that, given two subsets of ℝ^3, images one onto the other. - The target shape at 8:39 is called a helix. Or rather, to be more specific, it's a cylinder that is deformed into the shape of a helix.
@FinnishArsonist
@FinnishArsonist 11 ай бұрын
​@@kianasheibani1708 something that I noticed is that a lot of the procedure is very similar to using calculus to find a solid of revolution - you can see the thought process at 4:45. it's interesting to see a game that subtly use those sorts of concepts.
@kianasheibani1708
@kianasheibani1708 11 ай бұрын
@@FinnishArsonist Yes, many of the shapes constructed in this game are solids of revolution. That comes from the fact that moving from the regular square tile to the circular tile turns a straight line into a circle. If you take into account that the vertical dimension is unchanged, performing that transformation is equivalent to constructing a solid of revolution where the axis is vertical.
@terdragontra8900
@terdragontra8900 11 ай бұрын
Very true (though there are no technical hyperboloids in this game, just surfaces with negative curvature with circular cross section, that is, the inner half of a torus)
@jenniferdunstan5065
@jenniferdunstan5065 11 ай бұрын
I like your funny words magic man
@LitNothin
@LitNothin 11 ай бұрын
This game has a similar vibe to origami, where you can get shapes from a single piece of paper that you never thought were remotely possible.
@butter_0021
@butter_0021 11 ай бұрын
I’ve been watching for 3 seconds. Oh god Tyler what are you saying.
@maximumxposuremarketing829
@maximumxposuremarketing829 7 ай бұрын
Your profile picture shows that so we’ll tho 😂
@lorenzosegoloni
@lorenzosegoloni 11 ай бұрын
Once you understand how the transformations work, this game is so good to watch
@Mushboom37
@Mushboom37 11 ай бұрын
I’m addicted to the puzzle man
@Zaniahiononzenbei
@Zaniahiononzenbei 11 ай бұрын
I just wish he put his videos out a little earlier, so I'm not staying up so late. 😅
@AnAverageGamer18
@AnAverageGamer18 11 ай бұрын
​@@Zaniahiononzenbeiit's literally 2:30AM rn and I'm like "alright, Tyler dropped, I NEED to watch this before sleeping"
@jozimastar95
@jozimastar95 10 ай бұрын
​​@@AnAverageGamer18 don't think you need sleep after this
@Joseph125
@Joseph125 11 ай бұрын
That last puzzle was incredible. Aspects of the square transformation feel a bit less elegant, but nonetheless a brilliant exercise in getting a complex shape through a series of simple transformations.
@ragequazar
@ragequazar 11 ай бұрын
this game is genuinely incredible, i have no words to describe the feeling of awe i get from watching the process.
@agent_blarpy9730
@agent_blarpy9730 11 ай бұрын
The puzzle game for if conventional puzzle games dont melt your brain enough
@citratune7830
@citratune7830 11 ай бұрын
Ok- Other people say they can’t keep up. Theyre right. I can’t. But holy moly, its so fun to pause for like 30 seconds, find a solution that works theoretically, and then watch you figure it out via a very similar thought process. For 5:37, I was thinking you could make a triangle with a right angle by using the bottom right 4 squares on the top right square. Then, just make it a circle and elongate. You just found a different way of making a triangle.
@citratune7830
@citratune7830 11 ай бұрын
I think a huge help for me is experience with stuff in 3d modelling, like extrudes and revolutes and lofts. Maybe not.
@callie1205
@callie1205 11 ай бұрын
honestly an amazing way to thing about some of these levels are to just hink about them in terms of doughnuts
@gaymergirl1
@gaymergirl1 11 ай бұрын
this editing is amazing
@cineblazer
@cineblazer 11 ай бұрын
Ben is killing it with those visualizations while you're explaining your thought process. Also, this game is so amazingly cool.
@DWal32
@DWal32 11 ай бұрын
honestly the most impressive part is the fact you dont need to get perfectly exact replicas of the goal shape
@hydration4333
@hydration4333 11 ай бұрын
every video I think the editing's the best so far and then the next video makes it better, amazing stuff
@williamthomasmi10
@williamthomasmi10 11 ай бұрын
The editing at 3:50 was very clever; Felt like a hint built into the game or from games like Monsters Expedition etc. Insightful but not too revealing.
@GenTheFurredArtist
@GenTheFurredArtist 11 ай бұрын
Woah. Whoever edited this, they did a great job. And damn that game looks satisfying.
@raymondarrington5339
@raymondarrington5339 11 ай бұрын
It’s in the description: BenBenRanger
@GenTheFurredArtist
@GenTheFurredArtist 11 ай бұрын
@@raymondarrington5339 I didn't say I didn't know. I was simply complimenting their editing work.
@TKNinja37
@TKNinja37 11 ай бұрын
1:19 -- Editing perfection
@Thiefwriter
@Thiefwriter 11 ай бұрын
The editor is the absolute GOAT, incredible work helping visualize Tyler's thought process
@baerthegamer3366
@baerthegamer3366 11 ай бұрын
This was very satisfying to watch! Screw those KZfaq "satisfying" videos, this is peak satisfaction!
@trueblueflare
@trueblueflare 11 ай бұрын
Being really good with visual thinking I think I'd be hella good at this. Just watching it the solution usually clicks in my head very quickly.
@salmonbamminfish2925
@salmonbamminfish2925 11 ай бұрын
Amazing start. Give in to the impulsive thoughts
@christinejoyreyes1767
@christinejoyreyes1767 11 ай бұрын
That beginning though
@TheBobmBoy
@TheBobmBoy 11 ай бұрын
THAT CUT IN THE INTRO 🤣
@pictureplanet1
@pictureplanet1 11 ай бұрын
Time for some more cursed topology.
@dackid2831
@dackid2831 11 ай бұрын
Wow. It's seriously impressive to see you work through these puzzles.
@itsmhtaab6922
@itsmhtaab6922 11 ай бұрын
this game is absolutely amazing please make more videos of this one
@pablorepetto7804
@pablorepetto7804 11 ай бұрын
Wow, this game looks amazing! And even seeing the solutions I can't quite follow them, it feels like a magic trick!
@aemorion
@aemorion 11 ай бұрын
3:08 Is the fact that tyler can Understand how the checkerboard patterns relate To another pattern, lends credence to his intelligence
@DukeChameleon
@DukeChameleon 11 ай бұрын
Shoutout to mr Editor for helping us understand Tyler's thought process
@starlightkristal9856
@starlightkristal9856 11 ай бұрын
This game is the most satifying thing I've ever seen
@Scratchydoesmusic
@Scratchydoesmusic 7 ай бұрын
4:17 "it's a little small" i'm sure it has a good personality
@SonorianBnS
@SonorianBnS 11 ай бұрын
this is such a mesmerizing game to watch
@Map71Vette
@Map71Vette 9 ай бұрын
This is great exercise for CAD as well. Teaches you how to make complex shapes from primitive ones.
@Gihntemos
@Gihntemos 11 ай бұрын
I've done a couple years of 3d modeling from a more engineering perspective, like AutoCAD, SolidWorks, and FreeCAD. It's strange how similar this game is to some of those concepts, mainly the idea of projecting a shape across a line. I.e. to get a cylinder you project a circle across a line, as this adds depth to a circle. To make a spring you just coil the line, to make a donut you coil it on itself (or make a circle project down a bit then cut a hole in the middle then fillet because you're more of a chaotic neutral sort) Having said that it's also weird because a lot of the time my brain is just going "I know how to make this shape, but the tools doesn't exist"
@Gihntemos
@Gihntemos 11 ай бұрын
To be clear, a lot of the concepts from this game are indeed used to make real complex parts, as well as simulations for them to be tested. Of course it's a fair bit easier in reality, thankfully. Also I never ended up going into the field, but I do still have a fair bit of skill in FreeCAD.
@aba3220
@aba3220 11 ай бұрын
So satisfying! Would love to see more of this!
@mercymakesmemoist8560
@mercymakesmemoist8560 11 ай бұрын
Absolutely incredible editing, thank you BenBen
@terdragontra8900
@terdragontra8900 11 ай бұрын
thanks for showing this game to me, i love it. if you beat all the extra levels too, id be impressed!
@lwcky8929
@lwcky8929 11 ай бұрын
Had to go and watch the first episode of this series i somehow missed, this seems like a really cool game! Excited for more
@JustAnotherCommenter
@JustAnotherCommenter 11 ай бұрын
7:01 Binocular-looking shape looking like Apple's Vision Pro 💀💀💀
@BinaryArmorOnline
@BinaryArmorOnline 11 ай бұрын
This is my favorite game on this channel since Baba
@FrancoisTremblay
@FrancoisTremblay 11 ай бұрын
I imagine programming the algorithms that figure out if your shape is "close enough" to the target was the hardest thing to do.
@XxdevlinxX
@XxdevlinxX 11 ай бұрын
It probably uses photographic processing to give it a percentage of how close the players' output is to the real thing
@be7256
@be7256 11 ай бұрын
i imagine you could overlay slices of the shape you made and the target shape yeah then just check how well it overlays to get a % and boom there's your algorithm easier said than done obviously
@DanLivings
@DanLivings 11 ай бұрын
I don't think you'd actually need to compare the shapes directly to tell if it's close enough. How I'd implement this is that I'd store the target shape as a list of transformations rather than the mesh for the shape itself. Then to do the comparison, the game would have to: 1. Simplify the list of steps that the player performed. For example, stretching a shape and then immediately shrinking it again with no intermediate transformation can be considered the same as doing nothing. 2. Compare this simplified list to the list for the target shape. Each individual step can have a tolerance for "good enough", which can be as simple as checking the distance between the target shape's position on the grid for that step to the player's shape's position is less than some value (say 0.1 units). 3. If all steps taken are the same, and each step is within the tolerance, the player passes the level. I don't know for sure, but I suspect the actual game does something like this, as it seems to know immediately if you've done it wrong, and only if it's successful is there a delay, which I assume is done for suspense.
@mehdi5575
@mehdi5575 11 ай бұрын
Loved it! Would love to see more it!
@cynicalmoose19
@cynicalmoose19 11 ай бұрын
This game is such a trip to watch. I can only imagine what went into coding it
@WhatsAGoodName42069
@WhatsAGoodName42069 11 ай бұрын
Great editing again to convey Tyler's mysticism
@klapekzagady2078
@klapekzagady2078 11 ай бұрын
8:35 So that's how PB2 springs are made!
@ppgang9151
@ppgang9151 11 ай бұрын
love this game! keep the videos going
@echoes6092
@echoes6092 11 ай бұрын
This game is AMAZING i love it
@ardabaser1349
@ardabaser1349 11 ай бұрын
This is very interesting. It feels as if Tyler is trying to solve the puzzles like sort of professional puzzle solver instead of trying to imagine how the transformations would actually work but when the puzzle is very challenging, he starts visualizing the transformations.
@jamiesnow8190
@jamiesnow8190 11 ай бұрын
Thanks for the content!
@danser_theplayer01
@danser_theplayer01 11 ай бұрын
Yep that confirms it, topography people are actually agents of the matrix, they can probably turn a doughnut into a shotgun.
@garvgupta3567
@garvgupta3567 11 ай бұрын
I already love this game
@roundygaming8385
@roundygaming8385 8 ай бұрын
I NEED THIS GAME
@Creator2574
@Creator2574 11 ай бұрын
Wow the last puzzle. 🤯
@Awesomekraken677
@Awesomekraken677 11 ай бұрын
lmao tyler was so excited to make that joke in the intro
@Zero102811
@Zero102811 11 ай бұрын
Can't sleep without your videos
@koifish528
@koifish528 11 ай бұрын
2:26 that's right. it goes in the square hole.
@abellematheux7632
@abellematheux7632 11 ай бұрын
For the puzzle at 6:30 : I'm a maths student with a passion for maths (so it's cheating) and I immediately recognized the homeomorphism with a torus and the associated deformation, knowing that a torus is the cartesian product of two circles, which gives the solution.
@qschroed
@qschroed 11 ай бұрын
Low dimensional topology the game, this is so cool
@Hlebuw3k
@Hlebuw3k 11 ай бұрын
This game is amazing
@daffa_fm4583
@daffa_fm4583 11 ай бұрын
i wonder when he will find out that you can use control to align the shapes
@L4Vo5
@L4Vo5 11 ай бұрын
This game hurt my head when I played it. It's interesting to see the differences between how I reasoned about some shapes vs how Tyler does it.
@AirmanTerror180
@AirmanTerror180 11 ай бұрын
The return of glasses Tyler!
@seanshepherd1071
@seanshepherd1071 11 ай бұрын
Having taken many calculus classes, I really should understand this game a lot better than I do.
@dylandepetro4187
@dylandepetro4187 11 ай бұрын
Honestly, just watching this is satisfying. Lol.
@AexisRai
@AexisRai 11 ай бұрын
godly editing
@lanceriossss
@lanceriossss 11 ай бұрын
This games just melts my brain, it's too much for me, loving it tho ❤
@remz94
@remz94 11 ай бұрын
great game was fun to watch
@HalfBoyHalfGod
@HalfBoyHalfGod 11 ай бұрын
Can't wait to buy my very own AliensrockTM cups and glasses
@akosijj8330
@akosijj8330 11 ай бұрын
The donut binoculars made me scream at my screen when I realized it before Tyler did
@I_Drink_Pepsi_Wrong
@I_Drink_Pepsi_Wrong 11 ай бұрын
I love this channel
@lillianruiz9474
@lillianruiz9474 10 ай бұрын
It goes in the square hole… 2:26
@ExplodingWaffle101
@ExplodingWaffle101 11 ай бұрын
tyler: “this doesn’t feel like something i can get just with a cross section” also tyler: ends up making the cross section
@Schwanton
@Schwanton 11 ай бұрын
Im just imagining this being useful for my engineering classes.
@Bogdan100pink
@Bogdan100pink 11 ай бұрын
We need to bring back the timer for puzzle games, it just makes the whole experience better
@vinnykitty1983
@vinnykitty1983 3 ай бұрын
Tyler casually creating a möbius strip while making macaroni
@arandomgamer66gamez69
@arandomgamer66gamez69 9 ай бұрын
1:17 this is why i watch aliensrock
@Strongestintheuniverse0
@Strongestintheuniverse0 11 ай бұрын
No longer are we doing puzzle shapes for children, we’re doing advanced puzzle shapes for children! Game is really ramping it up now
@remz94
@remz94 11 ай бұрын
great video!
@aatwob
@aatwob 11 ай бұрын
Hey tyler! I know you don't usually play more factory-based games but I'd love a Satisfactory playthrough. It's really fun, hope you see this!
@lolly2621wastaken
@lolly2621wastaken Ай бұрын
8:19 I think it folded in on itself
@toastonry435
@toastonry435 11 ай бұрын
I can’t believe I’ve been had like this in the opening
@goldlizard9270
@goldlizard9270 11 ай бұрын
New Aliensrock video!
@teddyabbate8828
@teddyabbate8828 11 ай бұрын
I like watching you commentate this game
@RickMattison314
@RickMattison314 11 ай бұрын
Has Tyler ever played Bejeweled? He’s been playing a lot of puzzle games. Granted, Bejeweled is not a long series, but he could get some videos out of it.
@angeloid_
@angeloid_ 11 ай бұрын
Tyler I typically love following along with the puzzle games you play, it's really fun to try and think on my own and wonder where you'll take it but i cant follow this game at ALL i mean HOWW DOES YOUR BRAIN DO THISS
@mstarOnYT
@mstarOnYT 11 ай бұрын
I am now really interested in the internals of that game
@spazzydog100
@spazzydog100 11 ай бұрын
2:26 it goes in the square hole
@RedCMonkey
@RedCMonkey 9 ай бұрын
He made a flat half donut before 8:34
@youtubeuniversity3638
@youtubeuniversity3638 11 ай бұрын
12:10 Prank Cup!
@isudin
@isudin 11 ай бұрын
I'm amazed on how you make these shapes, imagine someone like xqc playing this, don't think he'd get over the first two
@saltyowl3229
@saltyowl3229 11 ай бұрын
This game feels like if a math grad did research to prove what different, non-equivalent shape “functions” result in the same effective shape, or even some more complex thing related to what sets of 2d transforms to a shape result in the same end “shape” making function, and then made a computer program to test it, then said “man this is satisfying to mess with the numbers for, actually seeing the shapes would be even cooler” then just added a bit of a game on top of their favorite tests
@roastghost901
@roastghost901 11 ай бұрын
This guy is a cube rotator for sure.
@notbraytonnottran9143
@notbraytonnottran9143 11 ай бұрын
The intro caught me off so bad lmao
@PuffleBuns
@PuffleBuns 11 ай бұрын
“Rotation of a donut” Me with my 2 braincells: sooo a rotated donut?
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