The explanation of how the transformations work with Tyler's face were 11/10, ben you're an icon

@loganroman5306

11 ай бұрын

Besides the circle.

@unebaguette9745

11 ай бұрын

I think it should've been wiggly for the wiggle checker

@CartpusherZ

11 ай бұрын

But bro never had a clue when he tested them, it was obvious when it would work and when it wouldn’t

@austinchang8400

11 ай бұрын

Oops

@guylikesbananas3986

11 ай 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

11 ай 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

11 ай бұрын

Is this what you want 12:10 ?

@cinnamonjam9173

11 ай бұрын

Perchance, do you know the difference between a coffee mug and a donut?

@ASaltyAcc

11 ай 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

11 ай 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 😉

I love that all the circular transformations were basically a visual representation of disc/washer method for volume calculations in calculus

@jasonc7620

11 ай бұрын

Exactly what I was thinking

@kaibow7209

11 ай бұрын

God i hated that unit

@zaxtonhong3958

11 ай бұрын

Yeah this is basically exactly how I visualized volume in calculus

@smoloreo2410

11 ай бұрын

​@@kaibow7209your pfp is the same as the one I used to have lol. RIP lil bub

@jacksonmagas9698

11 ай бұрын

I was just visualizing what profile i wpuld revolve to get that shape in solidworks

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

11 ай бұрын

Man, and Tyler looks like he's just struggling through it. I am in awe of youa abilities

@-NGC-6302-

11 ай 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

11 ай 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

9 ай бұрын

Agreed. I was yelling at my screen the entire time Tyler was on that cake looking level

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

11 ай бұрын

3D Topography is crazy

@alasdairsinclair916

11 ай бұрын

That's the trick It's the same shape each time The perfect curve

@XenoVoid

11 ай бұрын

because, get this: It was the same curve!

@ofcoursepolly

Ай бұрын

Is that tube??

@ofcoursepolly

Ай бұрын

KZread.

This feels like it'd be very useful for teaching advance geometry in a class.

@xicufwm

11 ай 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

11 ай бұрын

@@xicufwm the plebs dont deserve to see this, save it for the club

@icedrago6500

11 ай 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

11 ай 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

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.

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

11 ай бұрын

I can't tell if topologists would love or hate this game

@ethanbottomley-mason8447

11 ай 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

11 ай 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

11 ай 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}.

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

11 ай бұрын

I just randomly got that one in my recommended a few days ago-

@crazybeatrice4555

11 ай бұрын

It was a good video tbh

@JustAnotherCommenter

11 ай 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

11 ай бұрын

​@@JustAnotherCommenter "This is not what a brother and sister are supposed to do!"

@hellofend4734

11 ай бұрын

incest??

"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.

@DavidGuild

11 ай 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

11 ай 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

11 ай 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

11 ай бұрын

Pretty sure it's a mesh approach since to have commute property you'd need a mirror operation?

@opinionatedfoxl8369

11 ай бұрын

Stop my brain is already melting

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

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!

It's crazy how the checkerboard patterns stay the same, so every single shape is possible from the start

The coding of this mustve been a nightmare Props to whoever made this game

This game implicitly teaches you different coordinate systems and transformations. Actually used a lot in physics.

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.

The editing and the silly comments were spot-on with this one

This matching design kind of game feels like an expansion on an old flash game called Factory Balls. I love it!

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

11 ай 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

11 ай бұрын

@@anteshell Not here to argue bro I'm here to help clueless people 😂

@highvelocitytictac4232

11 ай бұрын

@@anteshell 😂

@m4rcyonstation93

11 ай бұрын

@@anteshell isnt that very semantic and not necessary to just understand what’s going on

@jotch_7627

11 ай 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

I love your content, Tyler, and I ant wait to see more of this game on your channel!

“A sphere and a donut are closely related” topologists: *screaming* HES GONE MAD!!!!

"I was just trying to make a wedding cake and I got transported to hell." sums this game up in 1 Sentence.

@slametdinatadinata645

7 ай бұрын

That is not a word, a sentence

@RABBIDFF

7 ай бұрын

PFF I didn't notice this until you pointed it out, thank you. XD@@slametdinatadinata645

So far I'm loving this game. Would love to see you make more videos of it

This is one of the most interesting games I've seen. I want more

Enjoyed watching this a lot! Would love to see more videos of you playing Tandis!

This is an incredibly compelling and clever game. I'm all about seeing more of this.

I love the names and explanations he comes up with for the Torus and Wormhole.

The editing on this was amazing!!! Props to the editors as always!

12:18 🤣🤣😂 this is mind blowing. Would love to see more.

Amazing. Please more of this game. Edits are marvelous as well

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.

Obviously Ben's sense of style is impeccable

This is sick. Love this game and your commentary. Would love to see more videos.

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.

I found your channel a couple years ago and youve entirely transformed my taste in games since then. Thank you so much

This was glorious! Would love to see more.

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!

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

This seems like an amazing concept with a lot of potential

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

really like the explanations on this one would defintely watch more

That game sure does look addictive!! Can't wait to see more shapes!

As someone who likes math this video both entertained me and infuriated me. Thank you Tyler.

This looks fascinating! Please do more!

Loved watching this game, holy moly.

Incredible video! Hope you make more on this game

loved the video. You explained it super well

just from the intro i can tell this is gonna be a fun game

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!

Love this concept, please do more videos!

I would love to see more! And I love the post-it note explanations.

a couple of puzzles looked like they could be solved in multiple ways with a different transformation order, which was pretty cool!

Def would love to see more!

please make this into a series

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.

very unique concept. Great find! thanks for showing

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

11 ай бұрын

they worked hard to make it lenient for sure

I love it when simple concepts can get this kind of mileage

this is an incredibly creative puzzle game, i love it already

This looks sick, I'd love to see more 🤗

“I was just trying to make a wedding cake and I got transported to hell.” Tyler, 2023

Well this game will yelp with my non Euclidean geometry course, i think

Thanks for the videos!

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.

I always found graph transformations satisfying. This game looks like so much fun!

Ayo! Best part of the day!

This game reminds me so much of multivariable calculus, in a good way

This game seems very promising! Hope to see more of it on the channel soon.

I wonder if you could use this game to teach geometry

@sighmon5640

11 ай бұрын

you absolutely could

@khiemgom

11 ай бұрын

Theres many subject that can be visualized with this, some are rlly advanced

@thekingoffailure9967

11 ай бұрын

Impossible. This game is completely unrelated to that mathematical field.

@polygontower

11 ай бұрын

@@thekingoffailure9967 "completely unrelated to that mathematical field" Definitely not!

@thekingoffailure9967

11 ай бұрын

@@polygontower ye I was making an absurd statement on purpose

I want so much more content on this game

I assume the game checks if you did the correct transformations when it chooses whether or not your shape is right. Beyond that, who knows. Seems complicated to code.

phenomenal editing by Ben

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.

What a cool concept! I really love anamorphic transformations

This was sick, love to see more

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.

I’m seeing shapes in this game that I never could’ve possibly imagined

This game looks *awesome*, I hope you come back to it!!!

while i know very little about how to program a game beyond the most bare basics imaginable, perhaps the "close enough" measuring of the shape has to do with either a value range of the object's properties or the formed function to create the shape? like, if we pretend an axis is a sine function or something, it would compare the target range to the submitted one or something within a reasonable percentage.

broo im so excited to play this

This is the perfect game for me. I love it

Also, as always, editing is perfect. 👌

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

Love the editors work

this is literally so satisfying i must get this

I have a kitten named Wiggles. He is definitely wiggly. This game is very cool, Tyler. I also have a cat named Squiggles

Cant wait for the next live stream

THIS IS SO COOL

this was extremely satisfying

Yes please. More.

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". :)

This game is amazing!

This is one of those Tyler games, that are awesome but I could never play. His brain is just too massive

@MisterZig0

11 ай бұрын

And yet he still forgets about the 3rd dimension

Yup, please keep playing!

Finally! You played this game!

wow this game is sick, simple but very deep

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".

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.

This is a whole new level of puzzle difficulty

This feels like the turning a sphere inside out video, but more.