I'm a huge spline nerd, so I gotta explain why these aren't actually Bézier curves (as many in the comments are saying), but B-Splines. Bézier curves always touch the first and last control point, which we only see in a couple of these levels. Also the more control points you have, the weaker the "pull" of the intermediate control points. A Bézier segment with the control points in 3:20 would have a much flatter shape than the "M" we see. Usually people just stick together a bunch of cubic (4 control points) Bézier curves instead, but that's also not what's going on here. There would be a control point where the segments connect, and some control points would need to be locked together to preserve continuity. B-Splines automatically divide the curve into segments and guarantee maximum (possible) continuity between them. This means they scale very well with many control points. They don't ususally pass through any of the control points, but you can make them by counting a point multiple times (this decreases that guaranteed continuity, but it doesn't matter at the endpoints). You can make a closed loop by overlapping the first couple control points with the last couple control points. Btw, Bézier and B-Spline are both used to represent the same set of curves, the difference is only the method of construction (and thus the control points that result in a specific curve). I'm actually doing a lot of work on splines in university right now, and even have my own ambitions for making a spline based game. Really awesome that someone made this, and people are enjoying it.
3:22 This is a fun exercise I remember doing in topology class. You can't form any letter that branches anywhere (like Y) or is circular (well... to the extent that we don't consider two nodes close enough as circular)
Graph theory can also be used to show that Y cannot be made. The graph describing endpoints and intersections must have an Euler path or cycle which spans the graph. Since we have more than two nodes of odd degree, no such cycle contains all the edges of the graph. Therefore, you cannot draw Y, T, A, H, F, E, and P without lifting the pencil or drawing the same line twice. A similar argument considering the four endpoints shows we can't draw X and K.
As for letters which cannot be drawn by a Bezier spline, it depends on the continuity of the spline. J has discontinuous curvature, L has discontinuous slope, and j is discontinuous overall. Looks like these have continuous slopes and curvatures, so L and J would be impossible to do properly. Of course, you could make curves to approximate them, but that feels like it isn't the point of this line of thought
@@dacomputernerd4096 *laughs in cursive* But seriously though, L and J are possible if the font is cursive. j and i are probably not possible due to the dot. I don't remember if T and t are possible.
@@Temperans I believe both still become impossible. The graph theory concept still applies, even in cursive. t in cursive has 4 points of odd degree (the ends of the line have degree 1, and the two points it crosses the loop have degree 3), so no Euler path there.
I played this game in person at MAGSFest back in January! They had a booth in the indie games showcase area; the dev was very nice and even answered some of my questions on how it was coded (a lot of Bezier curves if I recall)! There were setups for both the PC and mobile version and the controls felt really clean, especially on mobile. It's a great game and I hope more people check it out! (Edit: thanks to natansandle for the correction - these might be splines instead of Bezier curves)
Just wanted to say i appreciate the editing touch of moving the cam for each level and leaving it off for the big picture. Really contributes to the vibe of the video and was very thoughtful
Nice game. It’s a rare day I feel like I’m instinctively better at puzzles than Tyler, I usually get lost pretty fast, but this one hits my brain right
One nice detail, the target nodes are regular polygons. And they always have the number of sides equal to the target, plus two. (Triangle is the simplest regular polygon after all.)
Tyler not understanding how to turn corners into loops to make those double and triple nodes really shows how hes not good at visualizing/perception (or something similar to that, which he once spoke of in another video before). I can't wait to see his brain level up
"it feels like you could make any letter" yes. That is, in fact, how fonts are drawn on computers, though a series of strokes that follow splines that are defined by points much like in this game. The more you know!
Why does it feel like Tyler never realized, even until the end, that the double/triple/quadruple dots are usually meant from crossing lines... ? Feels like he kept trying to make them just be straight lines that passed by the dots.
In the puzzle with three triple points in a straight line, it was impossible for all three to be triple intersections. It had to be a line overlapping itself
Watching you play puzzles always made me question my problem solving ability. But seeying this game makes me realise how much it depends on the type of puzzle.. this one looks so dan easy for me... For once xD
Pretty sure this really is. Quadratic rather than cubic though, and the nodes are implied by the midpoint between handles and they added the connection line to make it more confusing.
@@FlameRat_YehLon Actually these are most likely cubic B-Splines. They kinda just look like this out of the box, with no hidden control points. And the connection line could be pointing to the point where two segments meet.
It's interesting watching a video where I conistantly get the solution faster than Tyler. Usually he is thinking three moves byond where I am, but I guess because this game requires visualizing rather than a series if steps, I 'get it' more than Tyler. Still a little frustrating he didn't see that you can 'twist' a corner to make it a loop.
Puzzle games with 'penis' as one of it's solutions is peak design
"The obelisk of knowledge... oh wait, it's a giant co-"
true.
the strongest shape
@@Fallen-Champion_Coxjtoh fans when they hear the word “obelisk”
Swear
You can't just say harder than it looks and put this shape as the thumbmail💀
peinis
Atleast i am not the only dirty minded😅
The likes
What's wrong with rockets?
My peanits
I'm a huge spline nerd, so I gotta explain why these aren't actually Bézier curves (as many in the comments are saying), but B-Splines.
Bézier curves always touch the first and last control point, which we only see in a couple of these levels.
Also the more control points you have, the weaker the "pull" of the intermediate control points. A Bézier segment with the control points in 3:20 would have a much flatter shape than the "M" we see.
Usually people just stick together a bunch of cubic (4 control points) Bézier curves instead, but that's also not what's going on here. There would be a control point where the segments connect, and some control points would need to be locked together to preserve continuity.
B-Splines automatically divide the curve into segments and guarantee maximum (possible) continuity between them. This means they scale very well with many control points.
They don't ususally pass through any of the control points, but you can make them by counting a point multiple times (this decreases that guaranteed continuity, but it doesn't matter at the endpoints).
You can make a closed loop by overlapping the first couple control points with the last couple control points.
Btw, Bézier and B-Spline are both used to represent the same set of curves, the difference is only the method of construction (and thus the control points that result in a specific curve).
I'm actually doing a lot of work on splines in university right now, and even have my own ambitions for making a spline based game. Really awesome that someone made this, and people are enjoying it.
Dev Here! @natansandle9284 has it exactly right! Keep spreading the good word!
Looking forward to the spline-based game you make!
B-splines stands for BASED-splines
3:22 This is a fun exercise I remember doing in topology class. You can't form any letter that branches anywhere (like Y) or is circular (well... to the extent that we don't consider two nodes close enough as circular)
Graph theory can also be used to show that Y cannot be made. The graph describing endpoints and intersections must have an Euler path or cycle which spans the graph. Since we have more than two nodes of odd degree, no such cycle contains all the edges of the graph. Therefore, you cannot draw Y, T, A, H, F, E, and P without lifting the pencil or drawing the same line twice. A similar argument considering the four endpoints shows we can't draw X and K.
As for letters which cannot be drawn by a Bezier spline, it depends on the continuity of the spline. J has discontinuous curvature, L has discontinuous slope, and j is discontinuous overall. Looks like these have continuous slopes and curvatures, so L and J would be impossible to do properly. Of course, you could make curves to approximate them, but that feels like it isn't the point of this line of thought
@@dacomputernerd4096 *laughs in cursive*
But seriously though, L and J are possible if the font is cursive. j and i are probably not possible due to the dot. I don't remember if T and t are possible.
@@Temperans I believe both still become impossible. The graph theory concept still applies, even in cursive. t in cursive has 4 points of odd degree (the ends of the line have degree 1, and the two points it crosses the loop have degree 3), so no Euler path there.
@@dacomputernerd4096 why would they become inpossible when cursive is all about the letters having smooth transitions?
tyler really pondering his orbs with this one
Mattias Pilhede reference?
@@ethanchristensen7388not necessarily, but the acknowledgement is appreciated
@@ethanchristensen7388 A Saruman reference.
5:35 it's a [B]enis
7:25 It's a [B]enis 2
this [b]enis is HARDER than it looks!
IT'S THE OBELISK OF KNOWLEDGE
actually my name is 🅱️enis
I played this game in person at MAGSFest back in January! They had a booth in the indie games showcase area; the dev was very nice and even answered some of my questions on how it was coded (a lot of Bezier curves if I recall)!
There were setups for both the PC and mobile version and the controls felt really clean, especially on mobile.
It's a great game and I hope more people check it out!
(Edit: thanks to natansandle for the correction - these might be splines instead of Bezier curves)
Getting to see this game on an indie game showcase is really lucky! Nice.
I get the feeling Real Civil Engineer would love this game just based on the optimal shapes you have to make.
6:14 I am very much surprised the editor didn't have anything to say about this
Just wanted to say i appreciate the editing touch of moving the cam for each level and leaving it off for the big picture. Really contributes to the vibe of the video and was very thoughtful
Musical splines. I love it. 5:11 is a pentagram for summoning a musical demon.
Bro knew what he was doing with the thumbnail 😭
Thumbnail and title lol
It is in the game itself too, right?
Yeah 5:40 7:25@TheCaregiverSITMOB
Vernias-GNF pfp
Nice game. It’s a rare day I feel like I’m instinctively better at puzzles than Tyler, I usually get lost pretty fast, but this one hits my brain right
5:39 The obelisk of knowledge.
The obelisk of knowledge.
The obelisk of knowledge.
The obelisk of knowledge.
One nice detail, the target nodes are regular polygons. And they always have the number of sides equal to the target, plus two. (Triangle is the simplest regular polygon after all.)
5:38 Me reading the video title
NO CLUE......
🤔🤔🤔
....GETS IT
How do you manage to make a balls joke in every video ever, it's becoming supernatural at this point
Tyler not understanding how to turn corners into loops to make those double and triple nodes really shows how hes not good at visualizing/perception (or something similar to that, which he once spoke of in another video before).
I can't wait to see his brain level up
The thumbnail is a throwback to the Looker ending
Honestly pretty satisfying. Kinda funny how much Tyler seemingly struggled with some of these
7:23
Am I a nerd for seeing this and immediately thinking trefoil knot
5:44 strongest shape solution
"it feels like you could make any letter" yes. That is, in fact, how fonts are drawn on computers, though a series of strokes that follow splines that are defined by points much like in this game. The more you know!
the sound design is so satisfying
This game had to have been inspired by Freya Holmer and "The Continuity of Splines"
someone looked at bezier curves and thought:"I could turn this into a game"
Someone looks at curves in general and thought B-Splines were more interesting because these are b splines lol
3:20 that's literally how TTF fonts (i.e. most computer fonts) are defined. it's a bunch of bezier curves
Almost! These are B splines... now we need the bezier version!
never thought bezier curves would become a puzzle mechanic
guess everything is a puzzle mechanic if you think hard enough about it
AND OF COURSE THEY HAD TO DO THE FUNNI ShAPE
*TWICE*
B splines... now we need a bezier version!
Is that a thumbnail or are you just happy to see me? 😳
There are literally no good reply to this comment
Definitely a thumbnail
Nobody’s happy to see you
C🕸hylation Test
I’m always happy to see you
@@Saber7464 never mind I retract my earlier statement
Strongest shape thumbnail
5:40 I didn’t expect that😂
i just love how each shape you have to get to increases in sides
The shape in the thumbnail, the title containing "Satisfying" and "HARDER" is just perfect
Why does it feel like Tyler never realized, even until the end, that the double/triple/quadruple dots are usually meant from crossing lines... ? Feels like he kept trying to make them just be straight lines that passed by the dots.
In the puzzle with three triple points in a straight line, it was impossible for all three to be triple intersections. It had to be a line overlapping itself
This was fun! Would like to see a part 2
1:23 "this is an satisfying ass game" FR😂
8:42 Star Wars: Return of the portals
"It's a star!" My first thought: "ITS A PENTAGRAM"
The game star stuff which you played the demo for a year ago is finally coming out on the 7th June
I didn't see this video until 901, no fair! a whole minute of my aliensrock watching life wasted!
I love game where ball go around shape is very fun
Watching you play puzzles always made me question my problem solving ability. But seeying this game makes me realise how much it depends on the type of puzzle.. this one looks so dan easy for me... For once xD
Alternate Title: What if Photoshop's pen tool is a puzzle game
Looks like an exciting game tyler, might check it out and grab it myself for memorial day
I like how relaxing and nice the sound is of this game! I'd like to see more
As a VERY mature 21 year old I find that thumbnail really funny and want to see more like that
don’t forget the title too
The shapes feel a lot like closed Bézier curves, very pretty.
Pretty sure this really is. Quadratic rather than cubic though, and the nodes are implied by the midpoint between handles and they added the connection line to make it more confusing.
@@FlameRat_YehLon Actually these are most likely cubic B-Splines. They kinda just look like this out of the box, with no hidden control points. And the connection line could be pointing to the point where two segments meet.
bezier curve : the game
B-Spline... the control points are not how a bezier works
RCE would love this game
Ah, I remember playing this... in Photoshop, while working with paths to do vector linearts~
Matt would say it's a very efficient thumbnail
Jacob Moore out here doing Gods work 🫡🫡
You knew what you were doing with that thumbnail 😅
A puzzle game about Bézier curves? That's gonna please the math nerds for sure!
Math nerd here. It's a B-spline, not a Bézier curve. But I am very much pleased indeed
Harder than it looks, it looks pretty hard 😂😂
That's a really cool game! I love the sound design.
This reminds me of Engare. Is it made by the same developer?
I agree that it's very hard, but also satisfying, too.
7:29 oh my god the thumbnail
This game is exquisite and the developer is a sweetheart.
IT'S THE OBELISK OF KNOWLEDGE (the obelisk of knowledge)
Btd 6 map editor as a puzzle game
Tyler continues to be unable to visualize
Loved it!
Ah yes, Bésier Curves : The Game
4:28 *gasp* It's a Mantyke!
Great video 👍
4:35 Airbnb Logo
I really like these arty puzzle games!
5:40 Strongest shape
Oh, it's vector drawing. I bet folks who use Illustrator and the like would be great at this game.
articulated splines !!
Very strong and efficient shape,nice
It's interesting watching a video where I conistantly get the solution faster than Tyler. Usually he is thinking three moves byond where I am, but I guess because this game requires visualizing rather than a series if steps, I 'get it' more than Tyler.
Still a little frustrating he didn't see that you can 'twist' a corner to make it a loop.
3:25
I love cursive
The name for the infinity symbol is 'lemniscate'
I was wondering when he was gonna play this game, I've played it it it was pretty fun, couldn't beat it though.
Cool game, reminds me off transformation and rotation game
I LOVE PLAYING THIS GAME
the sound effects heavily reminded me of spore
oh, i bet it's real _satisfying._
An infinity sign is called a lemniscate iirc
this game is VERY good and creative
"I've still gotta get it twisted..." - NorthernLion viewers be like.
This game is so cool! It reminds me of engare, was it made by the same guy?
funfact the infinity symbol has a name: lemniscate
If that's what your 'equipment' looks like, you should see a doctor.
Why did this game attract so many math nerds?
i cant believe the click bait was a real solution
TYLER DID YOU KNOW THAT IN DIECY DUNGEONS YOU CAN USE THE ALCEMISTS BEAR POTION WITH THE THIEF
This is a game about knot theory. I need a name.
math time. switching 2 points makes a loop. that's not a rule is intuition. it helps though
Tyler discovers bezier curves I see
Tyler discovers B-splines! You appear you only have discovered bezier curves since you assumed all curves are bezier😜
Just playing around👍
The thumbnail looks like a p...
...
...
...
...air of scissors that are closed
i like this
Vector graphics: the puzzle game
WHAT'S WITH THE THUMBNAIL EDITORS
there was a pawn…
(chess battle advanced)
playing with bezier curves the game (affectionate)
For once, the thumbnail was not clickbait 💀