The explanation of how the transformations work with Tyler's face were 11/10, ben you're an icon
@Logan_Roman Жыл бұрын
Besides the circle.
@unebaguette9745 Жыл бұрын
I think it should've been wiggly for the wiggle checker
@CartpusherZ Жыл бұрын
But bro never had a clue when he tested them, it was obvious when it would work and when it wouldn’t
@alchang8400 Жыл бұрын
Oops
@guylikesbananas3986 Жыл бұрын
〰️〰️〰️
@slavmilk7605 Жыл бұрын
I love topology and a game that allows people to work on spacial visualization and topology, and teaches how to take a slice of an object and reverse engineer a design AND can teach coordinate manipulation like from rectangular to polar form is SICK, please more of this
@5alpha23 Жыл бұрын
So far, we only saw linear, trigonometric and polar transformations, so it's not quite topology - that would be more about matching hole numbers. ;)
@CycleMantis Жыл бұрын
Is this what you want 12:10 ?
@cinnamonjam9173 Жыл бұрын
Perchance, do you know the difference between a coffee mug and a donut?
@ASaltyAcc Жыл бұрын
I’m trying to understand how they coded the correct solutions, it seems simple from an outside point but that looks like hell to code.
@5alpha23 Жыл бұрын
@@ASaltyAcc that's really easy actually: each transformation is a matrix, multiple transformations is just a matrix multiplication. The desired shape (i.e. an equation with three variables) has a "solution matrix" attached and you compare the two (solution vs. user created). For the general shape you check if certain values are zero, positive or negative and then you just state an error for each of the fields that a user is allowed to be off. 🤷 Rotating or moving the user shape changes the transformation matrix as well of course. I find it more fascinating that we're at a processing power that allows this to be calculated on the fly 😉
@anitagofradump5195 Жыл бұрын
I love that all the circular transformations were basically a visual representation of disc/washer method for volume calculations in calculus
@jasonc7620 Жыл бұрын
Exactly what I was thinking
@kaibow7209 Жыл бұрын
God i hated that unit
@zaxtonhong3958 Жыл бұрын
Yeah this is basically exactly how I visualized volume in calculus
@smoloreo2410 Жыл бұрын
@@kaibow7209your pfp is the same as the one I used to have lol. RIP lil bub
@jacksonmagas9698 Жыл бұрын
I was just visualizing what profile i wpuld revolve to get that shape in solidworks
@-NGC-6302- Жыл бұрын
I guess the CAD classes I took were worth it because this game seems pretty easy to me so far - not that that makes it any less fun, I absolutely love this one
@whatevername4873 Жыл бұрын
Man, and Tyler looks like he's just struggling through it. I am in awe of youa abilities
@-NGC-6302- Жыл бұрын
It's cool to see that his outstanding puzzle solving ability powers through fairly quickly despite not having trained his brain specifically in 3D CAD-type stuff. Learning is cool
@kingacrisius Жыл бұрын
Yeah same, the revolve tool in Blender helped the circle thing feel very intuitive. And the stretched one is pretty obvious for similar reasons.
@airmailsoap3209 Жыл бұрын
Agreed. I was yelling at my screen the entire time Tyler was on that cake looking level
@ev65586 ай бұрын
@@-NGC-6302- Cause it's nowhere near as complex as you are desperately trying to make it. Kinda seems like you just wanted to tell everyone you took CAD courses.
@aguyontheinternet8436 Жыл бұрын
When he tries to explain a curve he's looking for, he brings out the post it note and bends it the exact same as the last time he was trying to explain a curve, leaving me more confused
@mongmanmarkyt2897 Жыл бұрын
3D Topography is crazy
@alasdairsinclair916 Жыл бұрын
That's the trick It's the same shape each time The perfect curve
@XenoVoid Жыл бұрын
because, get this: It was the same curve!
@ofcoursepolly8 ай бұрын
Is that tube??
@ofcoursepolly8 ай бұрын
KZbin.
@CadoonTube Жыл бұрын
Nobody: I really liked the visual asthetics of the "how to turn a sphere inside out" classic youtube video, I wish there was a video game about it The Devs: TANDEEZE NUTS
@Quethetwo Жыл бұрын
I just randomly got that one in my recommended a few days ago-
@crazybeatrice4555 Жыл бұрын
It was a good video tbh
@JustAnotherCommenter Жыл бұрын
@@crazybeatrice4555 *_R E M E M B E R, Y O U M U S N ' T T E A R I T O R C R E A S E I T_*
@Crown1923DC Жыл бұрын
@@JustAnotherCommenter "This is not what a brother and sister are supposed to do!"
@hellofend4734 Жыл бұрын
incest??
@pascalthecurator3368 Жыл бұрын
After looking it up I've noticed that this is actually a sequel to another game called "Engare", and based on this I think it might be interesting to check out.
@airtoumfake Жыл бұрын
This game is really stirring up the mathy part of my brain. It's super cool! This game might even be a good thing to use when teaching math stuff
@Phriedah Жыл бұрын
I can't tell if topologists would love or hate this game
@ethanbottomley-mason8447 Жыл бұрын
@@Phriedah It shows some nice homeomorphisms and continuous transformations. I wouldn't say it really helps with learning topology beyond imparting the idea that you only care about shapes up to homeomorphism, i.e. if one shape can be continuously changed into the other and the other can be continuous changed back, then they are the same. When properly learning basic topology, it is a lot of manipulating sets and functions rather than looking at shapes. Understanding the shapes and spaces you are working with is important, as you are able to intuitively guess at the properties of those spaces without having to do actual computations, however if you want to prove things, you actually do have to do computations.
@mujtabaalam5907 Жыл бұрын
@@ethanbottomley-mason8447 But in this game you can change a sheet into a torus or a sphere. I don't think those are homeomorphic, are they?
@ethanbottomley-mason8447 Жыл бұрын
@@mujtabaalam5907 Indeed, they are not homeomorphic. The fundamental group of a sphere is trivial and the fundamental group of a torus is Z * Z. This is because the polar coordinate transformation is not a homeomorphism but rather just a continuous map. It is a homeomorphism from (0,2pi] x (0, infty) to R^2-{0}.
@pepermintf Жыл бұрын
It's really interesting to see a puzzle game like this and it feels somewhat similar to pottery as you need to figure out the side curves while using a wheel. Hope to see more content!
@alasanof Жыл бұрын
This feels like it'd be very useful for teaching advance geometry in a class.
@xicufwm Жыл бұрын
Yaaaaas! I'm truly in love and the only question I have is: should I show this to all my G9 students or save it only for the Math Club members? Hahahaha
@unclesam8862 Жыл бұрын
@@xicufwm the plebs dont deserve to see this, save it for the club
@icedrago6500 Жыл бұрын
@@xicufwmI disagree, show it in the regular class. Maybe it'll spark an interest or two among students who dislike / are not confident in maths.
@jammer7vvvq691 Жыл бұрын
@@xicufwm Totally show it to them! I’m not into math at all but this game is really peaking my interest, plus it can make things easier to understand for people who learn best with physical/interactive objects
@lychee349 Жыл бұрын
Tyler’s really like : “ah yes I see the checkers alight to form this demented geometry which I may manipulate based on the X and y axis and move between dimensions” Then also have his : “:0 whAt AboUT tHiS APpLe?” moments
@ChristianOudard Жыл бұрын
"I wonder how the algorithm for close enough works?" I expect that it's using a parameter space where each coefficient is for x-stretch, y-stretch, amount of sine-wave, amount of curvature around a cylinder, etc. So we would get a list of numbers that describes exactly the transformations that the surface has undergone. We can define distance in this parameter space via the euclidean metric (sqrt(a^2 + b^2 + c^2 ...)). Then there's just a threshold *parameter* distance that counts as success.
@Khaim.m Жыл бұрын
I don't know if that would work for different solutions, and there definitely are multiple sets of transformations which produce the same result. Or maybe it would? I guess it's probably all matrices so on second thought yeah, it's probably a metric on the matrix representation.
@NStripleseven Жыл бұрын
I suspect that the transformations don’t quite commute, so a simple parameter space wouldn’t really be possible. Can’t prove it though.
@blockmath_2048 Жыл бұрын
I think it's more of a mesh volume comparison. It tries a bunch of relative positions, and scores them based on how "close" a kind of voxel building the mesh are to the target.
@QuantumConundrum Жыл бұрын
Pretty sure it's a mesh approach since to have commute property you'd need a mirror operation?
@super_manul1167 Жыл бұрын
Stop my brain is already melting
@RABBIDFF Жыл бұрын
"I was just trying to make a wedding cake and I got transported to hell." sums this game up in 1 Sentence.
@slametdinatadinata645 Жыл бұрын
That is not a word, a sentence
@RABBIDFF Жыл бұрын
PFF I didn't notice this until you pointed it out, thank you. XD@@slametdinatadinata645
@illusionist1872 Жыл бұрын
I love your content, Tyler, and I ant wait to see more of this game on your channel!
@humanbloger5533 Жыл бұрын
It's crazy how the checkerboard patterns stay the same, so every single shape is possible from the start
@alasdairsinclair916 Жыл бұрын
12:20 "You ended up in the twelfth plane of torment while trying to make a... wedding cake?" "I am not a clever man."
@highvelocitytictac4232 Жыл бұрын
9:55 I think the best way to think about how the graph tranforming to the polar graph (the circle one) is that it extrudes the shape around the center axis in a circle, or connecting the left and right part of the shape by bending it like a cylinder
@highvelocitytictac4232 Жыл бұрын
@@anteshell I'm not saying it IS extruding, I'm trying to give explain it a different way for people who are having a hard time understanding whats happening, since this is a lot different from the usual grid-type content Tyler plays
@highvelocitytictac4232 Жыл бұрын
@@anteshell Not here to argue bro I'm here to help clueless people 😂
@highvelocitytictac4232 Жыл бұрын
@@anteshell 😂
@m4rcyonstation93 Жыл бұрын
@@anteshell isnt that very semantic and not necessary to just understand what’s going on
@jotch_7627 Жыл бұрын
@@anteshell get off your damn high horse. as it was used in these levels, it has identical results and a similar thought process to an extrusion
@tristanwegner Жыл бұрын
This game implicitly teaches you different coordinate systems and transformations. Actually used a lot in physics.
@kingacrisius Жыл бұрын
Like another guy said, this game has felt pretty easy to me so far, likely due to my use of 3D modeling software. The only parts that have been strange to me are the wavy line thing, as that is not generally a feature of 3D modeling programs. The stretched one is, well, stretching, and the circle one is the revolve tool. To me it was pretty intuitive in most of the ones using a circle what you needed to put in to get the object, same with turning it diagonally once you got the squiggly shape. The only parts that have been confusing me are the squiggles themself, very hard for me to visualize what it's going to look like.
@coleminer8847 Жыл бұрын
The coding of this mustve been a nightmare Props to whoever made this game
@gec101 Жыл бұрын
“I was just trying to make a wedding cake and I got transported to hell.” Tyler, 2023
@Owgla Жыл бұрын
So far I'm loving this game. Would love to see you make more videos of it
@bucketboy48 Жыл бұрын
The editing on this was amazing!!! Props to the editors as always!
@xicufwm Жыл бұрын
11:55 "demented geometry" is the perfect way to describe what's going on! As a Math teacher, I love it! Please show us the rest of this game!
@glitchxero4687 Жыл бұрын
This is an incredibly compelling and clever game. I'm all about seeing more of this.
@pictureplanet1 Жыл бұрын
Wedding cakes are so expensive these days, requiring you to *travel to the depths of hell*
@sergritm Жыл бұрын
Amazing. Please more of this game. Edits are marvelous as well
@Firefighter_M Жыл бұрын
14:08 I'll let you know that I want to see more of this. I like this game.
@Kids_Scissors Жыл бұрын
This matching design kind of game feels like an expansion on an old flash game called Factory Balls. I love it!
@nemipune3405 Жыл бұрын
This is so cool, I'd absolutely love to see more of it, I really love weird topology fuckery and this game seems like the perfect mix between mind bending maths and cool puzzles
@mehdi5575 Жыл бұрын
Enjoyed watching this a lot! Would love to see more videos of you playing Tandis!
@DagoDuck Жыл бұрын
13:40 The long/short transformation makes it possible to scale any 3D object down, you just have to get the right rotations, so you only needed to shrink it in height.
@johnnyblunders Жыл бұрын
I found your channel a couple years ago and youve entirely transformed my taste in games since then. Thank you so much
@quintentimmermans6332 Жыл бұрын
This is sick. Love this game and your commentary. Would love to see more videos.
@kennethbeal Жыл бұрын
"I was just trying to make a wedding cake and got transported to Hell." Awesomely worded. :)
@334vector Жыл бұрын
As someone who likes math this video both entertained me and infuriated me. Thank you Tyler.
@Roni_mcconi Жыл бұрын
Fun fact: the first shape is the Arabic letter ع
@zamasoom.6 ай бұрын
and the Urdu letter: ع which is similar to غ
@meezaanhassan785215 күн бұрын
I'm Muslim
@Bx_Illusion-Insects-Others7 күн бұрын
ع ع ع ع ع ع ع ع ع ع ع ع ع ع
@jonahwolfe3396 Жыл бұрын
This is the coolest puzzle game I have ever seen! As someone who loves both puzzles and math my brain is getting really excited see familiar shapes and concepts that I learned in my calc 3 class in college. For someone who never took anything more than algebra this game would be an excellent mind binding puzzle on it’s own, but for someone who knows a bit of calculus this can be an excellent tool for visualizing integrals and other mathematical concepts in three dimensions!
@thing4826 Жыл бұрын
I love the names and explanations he comes up with for the Torus and Wormhole.
@Blatant.Obscurity Жыл бұрын
This is one of the most interesting games I've seen. I want more
@baerthegamer3366 Жыл бұрын
That game sure does look addictive!! Can't wait to see more shapes!
@group2gaming Жыл бұрын
Love how complex the puzzles get with such simple mechanics. With a level editor this could go to crazy levels from how much you can do with this
@Hookens Жыл бұрын
The editing and the silly comments were spot-on with this one
@jacemonster5 Жыл бұрын
a couple of puzzles looked like they could be solved in multiple ways with a different transformation order, which was pretty cool!
@Vexurayr Жыл бұрын
I forgot this game existed, but I'm so glad to see you play it! And somehow you were able to nicely articulate the 3D shape you desired.
@5alpha23 Жыл бұрын
Daaaaaamn, a geometry puzzle game with actual transformations?! Is it Christmas already? :D PLEASE continue this series!!! By the way, the one from the grid to the circle is called a "polar transformation". :)
@rewto5131 Жыл бұрын
I have a kitten named Wiggles. He is definitely wiggly. This game is very cool, Tyler. I also have a cat named Squiggles
@DrArtiePoole Жыл бұрын
Loved watching this game, holy moly.
@gsquared8730 Жыл бұрын
“A sphere and a donut are closely related” topologists: *screaming* HES GONE MAD!!!!
@error_6o65 ай бұрын
Well if you shrink the hole in a torus enough it becomes a double covering of a sphere but not exactly a sphere itself
@waluigi5848 Жыл бұрын
This was glorious! Would love to see more.
@Note_Creator Жыл бұрын
12:18 🤣🤣😂 this is mind blowing. Would love to see more.
@shaunnolder7211 Жыл бұрын
This is one of the most interesting games I've seen in awhile (my own opinion, of course). I could see myself playing this for hours just to see what I could make.
@ultradude5410 Жыл бұрын
Incredibly cool concept, frankly this should be required playing for students coming into multivariable calculus Also how the absolute heck is this not jank as all heck??
@terdragontra8900 Жыл бұрын
they worked hard to make it lenient for sure
@Roger_808 Жыл бұрын
holy this game is training my restraint to backseat. i keep yelling at the screan but i also love seeing tyler find solutions i didnt think of.
@ragequazar Жыл бұрын
i don't think i've ever had a puzzle game provoke such a visceral "WOW" part of my brain before. please, more of this.
@thegoat9219 Жыл бұрын
I want so much more content on this game
@Ennar Жыл бұрын
The keyword here is polar coordinates. It always amazes me how quickly Taylor grasps mathematical concepts and understands them on intuitive level. I don't know what's his education, but he'd make a good mathematician.
@awaredeshmukh3202 Жыл бұрын
This game looks *awesome*, I hope you come back to it!!!
@HalfBoyHalfGod Жыл бұрын
Obviously Ben's sense of style is impeccable
@siyustuff213 Жыл бұрын
this is an incredibly creative puzzle game, i love it already
@nice3294 Жыл бұрын
This seems like an amazing concept with a lot of potential
@Failed_Kings Жыл бұрын
I love it when simple concepts can get this kind of mileage
@crazycanadian_ Жыл бұрын
just from the intro i can tell this is gonna be a fun game
@EMoneyH Жыл бұрын
Love the editors work
@felixsylvestre Жыл бұрын
loved the video. You explained it super well
@cineblazer Жыл бұрын
This game seems very promising! Hope to see more of it on the channel soon.
@vittoriagnecchi5783 Жыл бұрын
You have an amazing spatial imagination. I'd have hit a wall as soon as the puzzle became a bit more complex than: "stretch this square".
@shamshamsham123123 Жыл бұрын
This feels like something you would see a star trek character playing in their off time
@jblen9 ай бұрын
This is really cool. I feel like the presentation could be improved and make it more like a game than a series of puzzles, but the base functionality of transforming everything in real time is crazy in itself.
@brandonperry1031 Жыл бұрын
Ayo! Best part of the day!
@rognin5603 Жыл бұрын
I always found graph transformations satisfying. This game looks like so much fun!
@schizophrenicenthusiast2 ай бұрын
In case anyone's curious, that first shape is the arabic letter "ayn". And at 00:24 on the right that's "Tandis" spelled in arabic letters.
@sodiboo Жыл бұрын
11:24 i'd imagine the main part is just which transformations were applied in what orentiations, which has to be perfect (normalized with respect to symmetries and "undoing" transformations), and it's more forgiving for the exact placement of the sheet on the grid in each transformation, maybe just like within +- 1 unit
@GoGoGoTV1 Жыл бұрын
Def would love to see more!
@TheAgamemnon911 Жыл бұрын
I guess the solution checker works by tracking the order of transformations and rotations and that the offset on the boards is within acceptable limits.
@d4kyl320 Жыл бұрын
"i was jus ttrying to make a wedding cake and got transported to hell" xd sounds like an interesting isekia to say the least
@Leadvest Жыл бұрын
Congratulations, this has been your intro to topology, and photonics. You're in for a wild ride if you enter the rabbit hole.
@Loveflowerh Жыл бұрын
This game should be mandatory in every calculus class
@Akotski-ys9rr Жыл бұрын
I’m seeing shapes in this game that I never could’ve possibly imagined
@shaunnolder7211 Жыл бұрын
Also, as always, editing is perfect. 👌
@wans3216 Жыл бұрын
really like the explanations on this one would defintely watch more
@chaotic-ilusium8363 Жыл бұрын
This is really entertaining! I would like more please :)
@zecuse9 ай бұрын
If I had to guess as to how the forgiveness factor worked, I'd wager that each available transform is just a matrix (linear algebra). Where you place the shape on these transforms adjusts the values used by the transform. Finally, it sees if each component of your matrix is close enough to the solution. Matrix transformations are dependent on the order you do them.
@stickmanonastick6089 Жыл бұрын
An alternate way to think about the circle transformation is that each horizontal row on the checkerboard becomes a ring on the circle board. This explains why horizontal objects get wrapped around to make a circular shape.
@someidiot4570 Жыл бұрын
please make this into a series
@exottic7504 Жыл бұрын
"i was just trying to make a wedding cake and got transported to hell" -Aliensrock 2023
@g.gidluck6470 Жыл бұрын
This looks fascinating! Please do more!
@Chaos3000and3 Жыл бұрын
I would love to see more! And I love the post-it note explanations.
@yaoxiangnong67374 күн бұрын
7:38 That man on the bowl on the rim😂
@galladegamerletsplays5 ай бұрын
watching the very first section and learning this game has zero limits makes me happy
@Eddyithink Жыл бұрын
This looks sick, I'd love to see more 🤗
@unmondodimiyuki Жыл бұрын
What a cool concept! I really love anamorphic transformations
@CWilsonV Жыл бұрын
Good job editor :)
@BinaryArmorOnline Жыл бұрын
I love Tyler's technical explanations here
@BinaryArmorOnline Жыл бұрын
MOAR MOAR MOAR MOAR
@thejester1039 Жыл бұрын
Dude this looks so trippy
@bobpieczarka4357 Жыл бұрын
Keep making shapes. I am for topology!
@jamiesnow8190 Жыл бұрын
Thanks for the videos!
@austinrimel1150 Жыл бұрын
"I was just trying to make a wedding cake and I got transported to hell" that feels like the name of one of those oddly named animes.
@gamemassa7769 Жыл бұрын
As a (former) skateboarder, I feel compelled to point out that what you showed us at 7:32 is a quarterpipe, not a halfpipe (halfpipe would be two of those facing each other, basically a u-shape from side-view).
@JamesTDG Жыл бұрын
Okay, this is crazy, it is basically taking playing with a graphing calculator and putting it on crack and 3d. Also, fun fact, there's custom can of wormholes levels, I want to see you try a few out. I know Icely had a fun time with them