4D shadows are 3D
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- čas přidán 18. 07. 2023
- I noticed that this acrylic cube casts shadows that look exactly like the ones in 4D Golf. It turns out, it's a very physical way to experience what it's like operating a camera in 4D dimensions. #4dgolf
i swear you're a 4 dimensional being yourself, how else can you comprehend all this
4th dimensional and in hyperbolic space
4D space is easy lol
Hyperbolic is the real deal
Ehhh
They both have their strengths and weaknesses.
math
Hi
Let's call that new direction "bart"
But what's the opposite direction?
@@jbp3of3lisa
@@jbp3of3fart
@@jbp3of3"homer"
@@jbp3of3eart
my brain hurts
Same
4D Golf is probably THE best way to experience extra-dimensional space and build intuition of how it works. Including the level builder was very smart and it's way more intuitive than I expected. Thank you for making such a novel and cool game, CodeParade!
Unless the player skips all of the help crystals
U should try out 4d miner
I REMEBER THIS FROM ADVENTURE TIME
"a 4 dimentional bubble casts a 3 dimentional shadow, it is BEYOND COMPREHENSION"
man what a great show
adventure time goated
i miss what's basically the best era of modern cartoons, stuff like Gravity Falls, Adventure Time, The Amazing World of Gumball, etc. (aka like the 2011-2016 range)
That's also the moment when Finn mentions DMT lol
finn was so smart he made 4d bubbles hypercubical instead of a hypersphere :V
I'd learned the 4D directions as "spissitude" and "spassitude", but ana and kata is much easier.
Wait until you hear that 5D shadows are at most 4 dimensional.
At most?
@@BambinaSaldana Can be less too, in principle.
The shadow of a piece of paper if the light is parallel to the side is just a line, a 1dimensional shape for example.
@ScienceD-hc8nc A piece of paper has width, though. Very little, but it still has it. A 1-dimensional line can't have width.
@@BambinaSaldanaThe shadow of a plane is a 1-dimensional line, and a piece of paper approximates a plane
I like dimensions so much I will learn all this
5d golf with multiverse time travel
I like your funny words, magic man
i cantstop watching because of ana and kata
Man am i glad im a nerd and have consumed so much 4d related content that i can actually understand it
Same
T if you believe this video then you're a fool believing everything on Internet.
That isn't 3d shadow, it's 2d because the surface it's casted onto is 2d.
If you cast a shadow on thick fog, you'll see it has width, height and depth. If you cast a shadow on a 3d chair, the shadow will conform to that 3d object making it 3d shadow. If you cast shadow from 4d light onto 4d object then the shadow will be 4d
@@DageLV bro really doesn't understand the difference between a 4d surface and a 3d surface embedded in 4d 💀💀💀
For anyone having trouble understanding what seeing 4D in 3D even means, think about it like this:
Imagine you're holding an apple. Now slice that apple at any point, from any angle. The yellow surface of your slice is a 2D slice of the 3D apple. Visualising something 4D in 3D is basically like taking a 4D apple, slicing it, then looking at the yellow surface of it.
I still dont get it
What color is the skin of the apple, red or green?
@@Life_42 Red
@@diiriambloom7864 Then you are not worthy
@@BambinaSaldana oh... :(
I like how this short is a long enough to capture.
*w h a r ?*
@@Teardt a short long enough to help you understand
If this was a way to advertise your game, it definitely worked XD
After all your 4D videos this one finally made it click!
I have a way to represent 4d polygons using projections. It makes it intuitive to navigate a 4d space and I think it would be SO COOL to see it in 4d golf. If someone is interested I can make a video showing it a bit (10 likes and I'll do it)
Yes please 🥺
Let's gooooo
@@someonesomewhere8869 one like left... I must say I tried to make a game myself but I don't have time
Just gave you the 10th like. I'd love to see this video.
@@IndorilTheGreat alright, I see people interested. It's just a demonstration I did in Unity but I will explain everything about what I know in a video
Calc 3 is what made me understand that 4d is another spatial dimension. That is what I spent my time figuring out instead of studying for that class. Worth.
WOW!!!
Wow, you made new words (or found some) for 4D movement (Ana and kata)!! But I feel like Inwards and outwards would also work
Ana and kata were actually coined all the way back in 1880! It's a shame not many people know about them
I looked these words up and they actually aren't brand new. This is from wikipedia:
Comparatively, four-dimensional space has an extra coordinate axis, orthogonal to the other three, which is usually labeled w. To describe the two additional cardinal directions, Charles Howard Hinton coined the terms ana and kata, from the Greek words meaning "up toward" and "down from", respectively.
not too late to rename them Abbott & Costello
@@enorma29 that is so much better. One says “let’s move the golf ball to the first hole” and the other one says “Who?” and then the first says “he’s on first base I’m talking about the first hole”
Oh, is that a container for those plastic... tetris-like pieces? That was a fun little puzzle when I was a kid.
Dem alien use this
This is truly insane 🤯 WOW 😂
I think this game will be too smart for people to handle.
interesting how your way of seeing the 4th dimension in a game works in such an intelligent and interesting way
One thing I have a speculation is that possibly 2D walls are not in 3D like photos of a room I saw this while looking at the shadow of the hypercube well and I'm sure you can see everything So maybe they have 1d walls, which means the only depth that should exist is walls that look like entire rooms.
If you're talking about the "smaller cube inside a bigger cube" style of hypercube, what you're looking at is a wireframe of a hypercube. In other words, it doesn't have "walls", just edges.
A hypercube with actual walls seen from that angle would just look like a cube, since the rest of it is "inside" (actually "behind") the rest of the cube.
@@awareqwx interesting
Please no shorts, already youtube is somehow making the UI for them even worse than it was. Stop encouraging them >:c
Wow, nice!
You named the new directions Kata and Ana?
Beautiful.
I believe those are fairly standard names for those directions?
Is it really strange that the way we move a cube in real life in the game looks so much like if you were moving one room from another in a circular shape?
r/ihadastroke
still wild to me that the directions for the 4th dimensional W axis are named after WarioWare characters
Now I understand why people get frustrated when I try to explain this stuff
I think I get it. Moving in 4D has the possibility to move THROUGH 3D
I will never comprehend 4d analogues
I try to understand your work 😅. Do you any book or course to code 4d in unity like you, I found that amazing and intriguing ! Please teach it more 🙏
4D games are awesome
Cool!
i am 4d myself and the amount of people in this comment section calling the 4th dimension time is too many
Ayyy ur first short?
I have a question, we swing and make it move in the 3d world, but can we actually swing in 4d or do we just have to intersect the 3d world due to interactions with the 4th we move in that dimension?
You can swing in any direction in 4D but the camera still only sees one 3d slice of the 4d scene at a time. Some rotations change your aiming direction, others do not. Think about 'pitch' and 'yaw' on an airplane compared to 'roll'.
I just can't even wrap my head around this. Also how are you making all those 4D models?
Iirc he explains it in the devlogs
Ohhh ok my brother.. Just its Trippy isn't it... Projection,, transformation from 4 to 2... It's very trippy... It's just I'm imagining an animation of dancers with those movements in four dimensions... Moving the camera and the model can go to your extra degree of freedom 🤓🤔😬🤝 it's going nice this engine of yours 🤓
i like your funny words magic man
I am Greek. I see that the two new dimensions, ana and kata, are maybe ano and kato, meaning up and down in greek.
Man we got 4d golf before gta6
oh boy I want to play this on the oculus
enjoy getting stuck in the 4th dimention
Up, down, left, right, in and out
Lets call the new directions "noops" and "trebla"
I wonder if this would be a good game for vr
Why does the idea of a 4D platform game intrigue me... dual joysticks on gamepads should allow moving on all four degrees of freedom...
how do you model these environments?
how do you make something 4d in a world that is 3d?
New directions i named:
Tetrad
Antitetrad
🎉 awesome 🎉
Fun fact: i beat 4d golf in one sitting😐
Contains spoilers, the end was hard live very because of 5d, also one on the levels was called 5d chess. “5d chess with multiversal time travel title screen fades in”
ACID MAN
Does the shadow of a 4D object cast a 2-dimensional shadow?
nope, but the 3d shadow is turned 2d by viewing it on a screen
A 4d object casts a 3d shadow which casts a 2d shadow which casts a 1d shadow, yes. (The 1d shadow is impossible to see, since it's only a line of some length and 0 width.)
That cube looks just like a box that a 30-sided die would come in. Are you a tabletop gamer?
Okay, this is why I smoke pot. 🧐👍
I’m just trying to understand why in the infame example you showed the “Shadow” or plane being projected from that 3D cube is smaller than the fiber itself. When you show the shadow from the red sphere the shadows diameter is equal to that of the sphere but in the example afterward the projection seems smaller than the cube that’s projecting it
I think that's just an illusion because the shadow is farther from the camera than my hand holding the cube. In reality, the shadow is slightly larger than the cube since the "light source" isn't infinitely far away like in the simulation.
oh my god thats a genius explaination of 4d also
make 3d flat and adding a new hieght become 4d
but this is only how we can look on 4d with our 3d sense.
its simple, 3d objects seem 2d and 4d objects seem 3d, a cube would look like a square but a 4d one would look like a cube, you cant see the whole look or shape of an object in a 3d dimension but you can see all the sides and the whole shape of a cube in a 4d dimension.
also if you take a 3d cube it will cast a 2d shadow but if you take a 4d cube it will cast a 3d shadow, yes a 3d shadow i know its confusing because we have never or will ever experience it
OMG, MY BRAIN!!! 😫😫😫
🧠💢💢💢💢💢💢
Then 5d shadows are 4d
𝗜 𝘄𝗮𝗻𝘁 𝘁𝗼 𝗸𝗲𝗲𝗽 𝘁𝗵𝗮𝘁 𝗰𝘂𝗯𝗲
The boy who reversed himself moved ana and kata
That's false. 4d object from perspective of 3d light source onto 3d surface casts 2d shadow, but the shadow itself depends on the object beneath it.
If shadow is casted onto flat table, which is 2d, then shadow is 2d. If shadow is casted into thick fog or a chair, then it's 3d.
If a 4d light source casts a shadow from 2d object on a 4d object, it's gonna be 4d shadow.
1D: line
2D: flat
3D cube
4D: ???
4D tesseract
Dam how do you have such an excellent grasp of 4D?
ana and kata?? sounds like 2 names for an anime girl
Oh its a secondary plane that only manifests change on the game plane, does that only happen when the ball is close or is it due to button input...
None of this made any sense to me
parade. please. i love hyperbolica. (i forgot how to complete it and got lost) but please. i am going to puke. is this game on steam ill buy it
it is, and it has been for a month
Please let us pre-order. I want this game so bad
So it's really a 2D shadow then.
It’s presented as 2D so we can properly visualize it, but 4D objects project a 3D shadow.
everything is 2d on a screen.
@@thepizzaguy8477 yes
The 4D object is casting a 3D shadow which is being projected onto a 2D screen via 1D rays terminating at 0D points
@@awareqwx pretty sure the rays are still 3D even though they are lines & same with the point
Genius!! How to plot 4d function? Can we use Time as 4D?
You can represent it like that, but never say they are the same.
Undo and Redo
We don't know what 4 dimensions would be like, we only have theories
I presume Ana and Kata are named like the Mario characters?
But 2d shadows are not 1d
if the light source is in the same 2d plane, the shadow cast will be a line, so it is 1d
@@thepizzaguy8477 true
You could imagine the 4th dimension as time, meaning the 3 dimension world can somehow change their shape/color/other properties as we go through the 4th axis, or time, so right now a leaf is on a tree, 1 day later, it has fallen to the ground, 1 day later, it disappears somewhere, 1 millenium later, the tree died.
Now change the time into this weird 4th axis (ana kata??) And basically you got the same thing as real world.
But of course while in the real world every thing moves because of time, and their movement can be and has been studied into physical phenomenon that can be calculated according to time, this 4th dimension is weird, because, well they dont really exist in our life, just a theory.
Same thing as a fire that shape like this 🔥, if you cut the shape into 2D space of xy, you can basically get a circle that goes from 0 radius, into a maximum, then go smaller into 0 again, this happen as we go through the 3rd dimension of z (height).
We understand why that happen because we can see the whole fire in 3rd dimension and we studied physic (from vision at first, then make equation etc).
But the same thing actually happen in the time axis, as the fire start at a time (t=0) and will get bigger and bigger until a point of maximum size, then run out of fuel, and became smaller and smaller until it disappears (t=n), this also happen as we go through the time axis, but this happen naturally.
So this short just showed us how reality can change as we go through this simulated 4th dimension, but they change randomly according to the data inputted, whether they are procedural generation or not, i dont know. But we can see they change randomly, because we've never studied how they change and make them into a branch of science that can be explained into calculation and day to day "common sense"
Time is not a spacial dimension, it is property of space that can exist in any number of spacial dimensions! Time also doesn't have an opposite direction, or any direction at all fo that manner, & claiming that the 4th dimension which is trength, is time, is like a 2D flatlander claiming the 3rd dimension is time, instead of up & down, & that it's the same thing a time travel, that's how that works & we already know from experience, & since we're talking about spacial dimensions, we can infer that the 4th spacial dimension trength does not equal time travel, only a sharletain would believe that!
You can think of the fourth dimensional shadows as being a time blur. Being a shadow of where things were in the past and will be in the future. And that since the game is really about you and the ball time traveling. My only question is why don’t you color the shadows so to distinguish between going up and down in the fourth dimension. For instants up could be a red or warm shadow and going down could be cool and blue shadow in the fourth dimension
The simpliest way to understand dimensions is time traveling or vidro record a video n each frame is moving one unit in the a 4th dimensions
Trength(4th spacial dimension which time is not) does not = time, anymore than height does!