This guy has no limit to how crazy his game development can get.

The translucent projection onto the camera plane is GENIUS. I've seen so many explanations about 4D space, but only now has it really clicked for me. The "slice" method does tell you how it works on a theoretical level, but cutting out the middleman by projecting 4D to a 2D camera (instead of taking a 3D slice) makes it sooo much more intuitive.

Hyper mini-golf sounds like a pretty fun idea! Even if the game isn’t going to be huge, I’m sure it will still be really fun

i can't wait to play golf in a 4D universe! They aren't golfballs, they're golfhyperspheres.

"I don't really want another multi-year project right now, so this will probably be a relatively short and minimalist game that I just spend a couple months on and release". A tale as old as indie games, haha. I'm looking forward to seeing the amazing thing this becomes over the next year or two! Or, if you're someone who can actually pull off a "quick side project", I'll be impressed by that as well.

YES! FINALLY! Someone made the sliding part of the 4th dimension! I was saying this for so long, if a 3d person holds a 4d hypersphere, its just going to slide out! Same in this game with sliding along 4d walls

For the next game CodeParade makes: "So yeah, I wanted to take a breather try something simple for my next game: using non-euclidean geometry in a 4D world, nothing too out there. Should take me about half a year or so; see you then." But seriously man, great job so far! I look forward to seeing the progress on this one. 4D minigolf is such a cool idea!

Imagine playing catch or hide-and-seek in this, it would be hilarious

I had a realization. This engine uses "sliding" through the other dimensions when you encounter a wall. But I've always envisioned that you would be able to see and phase through objects. Then it hit me, It would be BOTH. In the same way that the third dimensions adds pitch and yall, the fourth dimension would add phasing and sliding. And objects would be a combination of both.

The huge enormous mind bending moment of moving the camera in the other two planes is glorious.

Bro's gonna break the fabric of the universe just to make this

enjoyed this over tea from my nemo mug! cant wait to play 4d minigolf or whatever becomes of this >:D

This is something I always wanted to explore. I also never understood why all "4D" games use this roundabout slicing method instead of just projecting the 4D space onto a 2D plane like we do in 3D games. For some reason people have a misguided way of thinking about this subject. Almost every time someone uses the flatlander analogy they say something like "The flatlander sees 2D objects, whereas we see 3D objects", which always bothers me, because - as you correctly stated in this video - the flatlander really sees 1D objects and we see 2D objects. We can't see the backside of things, we can't see through walls etc. So we already do not see the whole 3D shape. This isn't even something specific to higher dimensions, we experience this every day in our life. But seeing a 2D image is not the same as seeing 2D slices of our world. Taking a 3D slice of a 4D world and then projecting that onto a 2D screen is so unnatural, I don't think one can build any intuition from that. If we had to interact with a 3D world in that way, we would be just as confused.

Fez wasn't a 2D slice of the 3D world, it was a projection of the 3D world into a 2D plane. If it was a slice then the puzzles wouldn't have been solvable as it relied on the projection bringing areas far away in 3D being made much closer.

5D game next?

Super neat! This is still using slices, basically the same as 4D miner I think. But the transparency innovation makes it a lot closer to a volumetric view. In true volumetric view you’d have the 4D stuff projected to a volumetric plane (a 3D display) and have that projected to the screen (a 2D display). Your display would be a cube or rectangular prism and the center coordinate is the “middle” of the screen, and there are up/down and the four relative horizontal directions: left right ana and kata. I *think* what you’re doing amounts to taking that volumetric view and squishing it along one of the horizontal directions, so actually this is very close to volumetric without requiring the user to be able to parse a 3D plane of information. So actually yeah this is really cool! What might also be neat is to then blueshift things to your ana and redshift things to your kata. Or make the game stereoscopic and *only* display geometry to your ana in one eye and geometry to your kata in the other eye (have the user cross their eyes or use a VR headset). I wonder if this method works well with lots of geometry or if it gets confusing. Anyway I’m looking forward to it!

Oh wow. I love the shadow feature, I haven't seen that before in any style of game where the play-field is working in a higher dimension than what the camera can see. And the 4d golf game sounds really fun.

The idea of playing around in 4d space is so exciting. From the demo, it looks like you've implemented it really well. Psyched to see what you come up with!

Just imagining a 4d space makes my head hurt. Imagine if it was hyperbolic 4d as well! 🤪

I have literally had this idea and you beat me to it. It makes so much sense! It's just like 3D glasses- instead of seeing a 2D picture and trying to imagine 3D, you see several 2D pictures and your brain automatically understands it as 3D. Except in this case, it's 4D! Rotations are still kinda tough for me to wrap my head around, but isometrically and orthographically just sliding a 3D slice through with transparent edges in the fourth dimension has helped me understand 4D SO much better.

Minigolf is a cool idea but since normal minigolf is in 2 dimensions the gameplay in this game will be in a mundane 3 dimensions. I feel like this version of minigolf would be better represented as a golfball floating in a 3D volume. I think a fundamentally 3D game would better suit going into higher dimensions

2:22 Wait a second In the book Flatland, isn't there an ever-present fog that essentially does this? It helps the Flatlanders distinguish between shapes without needed to touch!

That transparency idea is genius! It makes things so much more understandable and really does the best job I've ever seen of really expanding your FOV into the 4th dimension

Yes!! I've been wanting to see a 4D game with semi-transparent projections since I was in high school :D

I've been following the 4d miner development, so I had an idea of what you might be going for, but I can not *explain* my excitement when you started talking about the slice method and want to go beyond it.

I think using color to represent "height" above the slice (bluer) and below the slice (red) could be a good idea. To allow people to see more easily how moving through the other two axis will change things.

Marble madness in 4D would be interesting! 🤯🤯🤯😎😎😎😎

So if I understand correctly, when you walk into a wall, you "push" yourself into that 4th dimension, and the golf ball behave the same way. That means the golfing "area" is now 3d, right ?

Really interesting video! I've seen many implementations but yours seems the most intuitive, and I especially like the 3D shadows cast by the 4D objects

The transparency was absolute Genius!!! The entire 4D thing still is very hard to understand, but this is by far the best way to visualize in a immersive way. Amazing work!!

This is the best implementation of 4d I've ever seen. Just seeing the 3d shadow of the "sphere floating" it's demonstrating the potential of this approach. Great work. Looking forward to the next one

I think that mini golf is a extremely unique gameplay mechanic to have in 4D and would absolutely be a perfect way to introduce the concept of 4D space. Brilliant idea.

"i'll probably just spend a couple months on this, i dont want it to be as big as hyperbolica"

3:50 I noticed here on the right that because you essentially have a 4d cone all of its cross sections are 3d conics!

gonna be honest, so much of this little demo made it into the game in the end. honestly i really love how such a good idea it was to become such a strong foundation, and genuinely impressed how smooth this concept can fade into completed idea, at least on the level of presentation. its certainty cleaned up a ton with the game.

FINALLY, someone made a 4D game where you have all the info

As an (almost) mathematician, slicing is the way I think about higher dimensions, except for rare occasions. Your concept for the game is super cool, can't wait to play it!

The "shadow" projection is pure genius. It actually works very well, might even be be something you could work with. I could see a world in which you could control in the 4 dimensions at once. It could be interesting to see whether that can be done. We are used to projecting 2D controls onto 3D movement, I wonder if it'd be possible to project unified 3D controls into 4d space. Maybe using a hand tracker or something like that.

Really cool, having projections of what is near you in 4th dimension is probably the best way to visualise 4d space!

Typically 4th Dimensional worlds are seen as incredibly complex and strange. While they certainly are in some ways, I think this provides an amazing example of what seeing in 4-D would probably actually be like. This makes more sense than how I've seen it in many other situations, and I honestly appreciate the simplicity of it. Thank you for expanding my imagination, this is awesome.

When you had to move around in the 4th dimension to even be able to see the hole, that was so cool!

Guess it's hard to get a first person view of 4D because our minds literally cannot comprehend it completely, so you have to make some adjustments for it to make sense I'm fascinated by this kind of stuff, I mean "hypercube" is literally in my name lol

This is a masterpiece just for the incredibly good way you find out to make a new point of view of the 4th dimension

I've been thinking about this on and off for the last year, without the skill to actually implement any of it! It's so awesome to see a proper visualization of this and not sketches on pieces of A4. Your work is awesome, and I'm constantly inspired by your videos! Edit: Wow, the comment section is full of similar discussion!

YES! GOD YES! I never liked the slicing method.

So the problem with making a 4d game is that pretty much every other 4d game project flopped... or wasn't 4d enough... I'm excited to see you give it a go tho.

"It's very early in development right now, so I could end up doing something completely different." I'm glad that they kept with the mini golf idea.

I didn’t know it until now, but this is exactly how I like to imagine 4D space when I am thinking about it’s mechanics, really looking forward to hearing and seeing more!

More devlogs? Please, they are always fun to watch

...yes. yes. YES. I was kind of thinking about this in the back of my mind while watching your hyperbolica devlogs, and I'm super hyped to see where you end up with this, even if you just work on it a short period of time. I guess my main thought about why I want true 4d games to be a thing has always been that people going blind also develop amazing navigation and space comprehension abilities from their other senses, and people with a lot of exposure or even growing up with 4d games should be able to quickly get an intuition for 4d space itself, just as we are able to comprehend 3d space from our 2d vision

A 4D minigolf game where it's partially a puzzle game about finding the hole on a 4D object would be super neat. Excited to see what you can do with it.

YES! When I play 4D Toys, I always turn on the wireframes! It just makes things so much easier to keep track of!

whole year passed, but he made it

I played the demo of 4D Miner. It was hard to control but I liked the idea

I've been thinking about this implementation with transparent projection. Glad to see someone actually working on such an experience!

The faded projection thing is an excellent idea, it provides vital context to the object you're looking at meaning you don't have to scroll through the entire slice. Can't wait to see where this goes!

This is honestly the best way to render 4d i’ve every seen, it’s trippy and wouldn’t really work on high def objects, but it gets the point across

A golf game is a good idea. Level by level games that use the geometry of the game to make it interactive is exactly what Hyperbolica was missing.

video games are like a crazy perfect mechanism by which to explore 4d space. love what you're doing, bringing these concepts to a larger audience so it can be further expanded upon

Another way to view 4d stuff is with a 3d retina/camera, which usually requires using wireframes to prevent obscuring things when then projecting it onto a 2d retina/camera to show on the screen. There's a 4d maze game that uses this method, and with two views for stereoscopic vision, allowing the viewer to perceive depth in the wireframes, it works quite well.

You are really just making games for all my favorite math subjects.

Wow it looks amazing! So much potantial for the gaming scene.

Thanks for the flat lander explanation, this makes so much more sense than the usual slice explanation.

this man has explained visualizing a 4d space... with actual visuals... I CANT EXPLAIN HOW COOL I FIND THE CONCEPT OF EVEN BEING ABLE TO DEMONSTRATE VIEWING A 4D SPACE IN REAL TIME. AND HES USING IT TO PLAY MINIGOLF I- i love this world and how far we've come

This was the first video in my home feed today and it made me so happy!

I hope that you are remembered as being the innovator who finally put two and two together: 4d shadows is f*cking brilliant for playability.

This man can simply create beauty with his codes. This is a complete game changer on EVERYTHING.

That projection idea is gold, hope to see the potential of this wringed out in the future, by you and/or others using the open-source engine.

I look to your career with great interest

1:43 I once played Half-Life with a single-pixel-in-height window, which acted like a 1D camera, it was a cool experience, though I didn't get farther than the first few headcrabs and zombies before getting stuck in a room

I love this The two compasses spheres immediately reminded me of how two 3D spheres are a double cover of a 4D sphere (or hypersphere), which makes a lot of sense Makes me wonder how much algebraic topology (or other high level geometry topics) would help in developing a 4D game

I've thought about a 4D game that worked using opacity for so long I'm so glad to see someone actually doing it!

You’re a legend, an icon, and you are the moment

I've always wanted to see a game that used a camera projection that covered a complete view of everything around you, might work well for a 4Dgame since it sort of gives you a "3D" camera

I love you. You're achieving everything I ever wanted to achieve, & you're laying the groundwork for my own game to be perceived as almost mundane. I'm tired of being the most bizarre game maker, on other timeliness. I think I came back to the past to start over, with a more simple, at one with the universe vibe. Thank you for easing my transition into becoming a creator. In my first worlds, I never noticed your games. I have to give my retrocausal life travel some meaning, to make it worth all the suffering... discovering new creators who are building the stepping stones I will use to reach my own goals is one such worthwhile meaning. Thanx again.

When you slided by the wall and it just made sense... can't wait for the golf game to be released.

Ok, the shadow idea is genius

This seems so cool, i really like the idea too of putting these kinds of things on VR, as it tends to make it more life like and grasping onto the concept seems easier

Love the concept of projecting a "shadow" into the vision space

What would really add to how players understand how they move in 4d space is to show a recap of the player's ball but from the third dimension so you can see the player/ball phase in and out of view

could moving the 4d rotation into the nearest predefined point be useful for some games? it would help the player get around by guiding them in the right direction

I've had the idea of a 4D plat former with a 3D camera, you can then freely "move" around in your 3D "view". Something like that might be even closer to how a 4D creature would experience the world, being able to do think like look inside a 3D room.

Nice implementation of viewing more distant objects in the 4th dimension. This way we can actually visualize what it would be like to have a 3D object offsets in the 4th dimension or even some 4D objects

That compass is very cool, and so are the transparent hints. Best 4d mechanics I've seen

“dont want to start another multi year project” clueless

Oh good lord my brain can't handle this. Extremely impressive!

I remember a while ago when I was over at my cousin's house the topic of "why does cheese have holes" came up, when i explained it i said something along the lines of "you know how 4D games put you in a 3D slice of a 4D world, and they always compare it to a 2D slice of a 3D world, its kind of like that where 3D air bubbles form in the cheese and it gets sliced into 2D slices." I literally explained the 4th dimension while explaining why cheese has holes.

I love your approach to this topic. Also my brain got fried trying to follow the footage.

Had to happen. Thank you.

4:07 Great game idea. Though I already have a headache from what is shown so far.

It reminded me about the small java game called 4D maze which used the full 4D perspective in order to project its world, it also allows to move camera in all directions. But in this case it is required to make a 2D projection of a 3D projection which will look messy if there will be too much objects

sbsbdbd genius finally visualizating what a 4D space looks like intuitively

FINALLY somebody used *OPACITY* to see the fourth dimension! I've been wondering about this for so long. Tho, I pictured something slightly different. Projecting the shadow of the scene is brilliant.. but.. What if everything in the world was mostly transparent? Wouldn't that be the true 4th dimensional vision? Could there be several degrees of vision slices in the same way that you're Vision has a range? It doesn't need to go on forever. Because your eyes don't. Just a short range up and down the fourth dimensional slider. It would just be overlapping transparent worlds. I see it like this: A wall that stays in the same place for farther than your fourth dimensional vision will reach will look and act like a solid wall to you. But if the wall didn't exist for a few slices then you would be able to see through it partially. And my thinking is, that you would be able to pass through the object. Just incredibly slowly. Think of it like walking through a marshmallow. The wall is soft because it exists less where you can see through it. The more transparent it is, the faster you walk through it. The wall has a "hole". An opaque 4th dimensional object would be its normal weight. But the more transparent it is the heavier and harder it would be to move. Because you're only touching the corner. Does that make sence? An incredibly simple maze with a key to find would be a phenomenal game that wouldn't be a ton of extra design work. And it could be randomized. Could Ray tracing provide a unique solution?

he managed to bend space, now he can add another dimension.

Oh my god your brain is awesome. thank you so much for your work. your contributions are on the edge of explorations.

Maybe you can put dimensional spin on the ball, in later stages? The idea of the ball travelling more actively through 4d space is really interesting!

NO WAY!!! Have you seen games with a volumetric display such as "Moena" and "4D blocks"? I think the 3D screen is really cool as well as things from 4D miner but I really enjoyed Hyperbolica. 👍

"a couple months on""

Fucking amazing. I've been visualizing 4 dimensional spaces in my mind for years now and you've gone and made a virtual demo for it. This is fantastic. Thank you so much

I think, there's even a much more intuitive way for 4D-games. It's not so much about "presentation of 4D", the secret is the "leveldesign to explore 4D".