Spherical Geometry Is Stranger Than Hyperbolic - Hyperbolica Devlog #2
A quick look at spherical geometry in 2 and 3 dimensions and why it looks so unusual. This is part 2 of my Hyperbolica Devlog series, and both geometries will be in the game. I promise I'll get to some actual game development stuff in the next video!
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A mathematician builds a fence around himself and declares that he is outside the fence, thus all the lions are contained.
@RedGallardo
3 жыл бұрын
He has to save people who also end up inside the fence though. It's not easy to save 7 bil people.
@nolan9101
3 жыл бұрын
Mallory SF idk man, Jesus seems to be doing an okay job in that department.
@RedGallardo
3 жыл бұрын
@@nolan9101 Butbut... what about Keanu Reeves?! I thought...
@rtyzxc
3 жыл бұрын
"Here I added a fence to divide the level in half" *builds a fence circle around him*
@MrBmarcika
3 жыл бұрын
thank you❤️😂
“But now lets go to the opposite side of the level” **Reality starts to melt**
@thatoneguy7419
2 жыл бұрын
*Starts to see in higher dimensions*
@rohankishibe6433
2 жыл бұрын
@@thatoneguy7419 this is somewhat random but also kinda true
@ImehSmith
2 жыл бұрын
OKAAAAY😅🙂🙃😉😟🤢
@lightning_11
Жыл бұрын
This comment has 666 likes... makes sence.
@augustine7586
Жыл бұрын
@@rohankishibe6433 not random nor true
In an FPS : "I'll take cover inside the house!" "Inside? Are you sure about that?"
@official-obama
2 жыл бұрын
@Ebola you don’t get it if you make a wall around the equator what are you trapping
@pogpogger9497
2 жыл бұрын
@@official-obama uH
@official-obama
2 жыл бұрын
@@pogpogger9497 what? i have no memory of this
@strigon012
Жыл бұрын
'Bro come rez me I'm inside the house.' 'Dude I'm inside the house.' 'Bro you're outside the house I see you though the window' '...My bad' *he promptly got shot by a camper on the opposite side of the map, it's still a mystery how he missed to see the guy when his face with covered over the screen* pu55y5l4y3r443: lol u suck
@Slineryo
4 ай бұрын
@@official-obama you're trapping the meaning of life intself
There’s something so comfortable and cozy, while eerie and terrifying about this spherical space. I can’t quite put my finger on it. It still blows my mind today.
@igorjosue8957
2 жыл бұрын
I think becuz is an claustrophobic space geometry, if a person lives there, he could only walk around and use what is on the sphere, it cant infinitelly go an way and Never come back and explore new things becuz he is trapped inside that place, on the 3D surface of the 4D sphere
@duckduck7790
2 жыл бұрын
I find the way the objects get larger and smaller to be terrifying, and just the way things move in this in general.
@Desmaad
2 жыл бұрын
Blursed space?
@NoName-oz3gj
Жыл бұрын
kid named finger
@m_affiliates
8 ай бұрын
This is my vibe
Imagine playing first-person shooter in this environment.
@notajalapeno4442
3 жыл бұрын
puke city
@pianojay5146
3 жыл бұрын
Far away opponents will be super large
@40watt53
3 жыл бұрын
if you shoot a bullet and it hits nothing itll hit you
@TheAechBomb
3 жыл бұрын
you would never be safe from their shots
@WILLPORKER
3 жыл бұрын
motion sickness
Imagine living in a world like this and never knowing of the existence of the sky.
@hjk3927
3 жыл бұрын
Maybe we do. But we have of cource no word for this 'sky', because we never have and never are going to 'see' it. Math and science could be indirect tools to experience some effects of this 'sky'.
@Cyrinil142
3 жыл бұрын
Except we literally don't. As this video shows, living in a universe with positive spacial curvature is pretty obvious. I think you were trying to say something profound but lost track of the fact that we can, in fact, tell the difference.
@hjk3927
3 жыл бұрын
@@Cyrinil142 Living in a world with extreme positive curvature is obvious. It is not obvious, if this curvature is beyond what we can measure so far. But anyway there are lots of unsolved problems in modern physics and therefore multiple potential 'skys' that we don't know about. And of course I dont count in 'skys' that are beyond any possible physical measurements.
@VendPrekmurec
3 жыл бұрын
Just like "UFOs" arriving or popping out of their dimension into ours to our planet say "imagine these 3D people, not perceiving our heaven above, they only see the sky and stars above".
@seeker296
3 жыл бұрын
There is no sky because you cant look "outward" from your sphere. You can only look above you and see the opposite side of the sphere. That's why this looks so weird
2:37 The roof is above us, The walls are around us, But not in the way you'd expect. Deep lyrics man.
@baronvonbeandip
2 жыл бұрын
r/Im14andthisisdeep
@quinzerrak4975
2 жыл бұрын
And the Impostor is among us.
@avalonwillowbloom1590
2 жыл бұрын
Which Tool song is that?
@M3G4FR34K
2 жыл бұрын
@@avalonwillowbloom1590 such an underrated comment lmao Just saw Tool last night too.
@midloran
11 ай бұрын
you say that will eat us but I just know where your mother might find us if we won't produce the
This reminds me of the Russian sci-fi novel "The Inhabited Island" (1969, a.k.a. "Prisoners of Power) by Arkady and Boris Strugatsky (who also wrote "Roadside Picnic," on which Andrei Tarkovsky's sci-fi masterpiece movie "Stalker" was based). In this book, a cosmonaut lands on a planet where atmospheric refraction of some sort (it's not explained) causes an illusion where the land bends upwards in the distance, making it so there is no horizon. The inhabitants believe they live on the inside of a hollow sphere with a "world light" at the center, and find the idea that they live on the outside of a sphere and that there are other planets to be incomprehensible. Of course, this isn't a curvature of space itself, as in this video, but in the book the metaphorical implications (of a closed society and insular ideology) are what's important.
@ldgaming4213
3 жыл бұрын
Holy moly that’s scary
@maxron6514
2 жыл бұрын
Sounds great
@smitty1647
2 жыл бұрын
my understanding is that venus actually has this to a small degree. the horizon looks like it curls up a bit and you're in a shallow bowl
@ldgaming4213
2 жыл бұрын
I just watched the movie and it's amazing. Only problem is that it's only dubbed in Russian and German, so I had to watch it with subtitles
@degenesis21
2 жыл бұрын
Very interesting, thanks for the heads up! I know what to read next 😁
Euclidean geometry: Farther away objects look smaller Hyperbolic geometry: Farther away objects look WAY smaller Spherical geometry: Farther away objects look smaller, until they don't
@groszak1
3 жыл бұрын
it's like a straight line in Euclidean, a hyperbolical sine in Hyperbolic and a sine wave in Spherical
@xl000
3 жыл бұрын
kinda obvious when you look at the projection matrix.
@NStripleseven
3 жыл бұрын
Makes sense
@Knobster826
3 жыл бұрын
Yep
@NightcorEDM
3 жыл бұрын
Fun fact: If you go to Endia 🇮🇳 you'll see lots of diirty disgusting stinky slums
Diverging light-rays be like "Bro, come back, I miss you"
@lev7509
3 жыл бұрын
Diverging is in hyperbolic geometry. In spherical geometry, they converge, and any two straight lines intersect exactly twice.
@wessmall7957
3 жыл бұрын
@@lev7509 The joke is that they start out diverging and then converge.
@lev7509
3 жыл бұрын
@@wessmall7957 Oh, that's smart.
@HeroLink18
3 жыл бұрын
HOW DID THIS HAPPEN?
@john3260
3 жыл бұрын
@@lev7509 I bet someone's going to reply to you with a "r/wooooosh".
What a mind-blowing effect
@dawidek4267
2 жыл бұрын
haha first under a verified youtuber
@opethium647
2 жыл бұрын
check mark = likes
@Anudorini-Talah
2 жыл бұрын
What a casual response to this video More like, what a stupid effect utterly annoying
@loukad.4812
2 жыл бұрын
@@Anudorini-Talah ?
@K-J-A
2 жыл бұрын
literally my mind even hurt a little
The way I thing about it is spherical geometry is the inside of a sphere, not the outside. While it is not a perfect explanation it helps me wrap my mind around the space.
@Sgrunterundt
2 жыл бұрын
But really it is neither, just the surface. It is not the inside of the sphere above him, just the "north pole" of the hyper sphere. Below him is the "south pole", so he could not escape by digging, and by going straight down he'd end up on the opposite side just as if going upwards. In the released game there is a well you can jump in to show that effect.
@joeyhardin5903
2 ай бұрын
It kind of has that visual effect due to there being no sky. But I think what it really is is that you're confined to the surface of a 4d ball
3:23 imagine the tutorial being: "now to complete the tutorial, please get out of this fence"
@lordspotato5032
3 жыл бұрын
“I’ve been playing this game for 5 hours and still haven’t gotten past the tutorial”
@peculiarjack617
3 жыл бұрын
Hmm
@NStripleseven
3 жыл бұрын
Aaaaaand game over
@iznxai
3 жыл бұрын
RIP game journalists
@horstherbert35
3 жыл бұрын
just climb on top of the fence then
Imagine how much motion sickness this would give you playing in VR.
@Dreams_Of_Lavender
3 жыл бұрын
I'm ready for it. Give me the exotic geometry induced nausea.
@samhainlegge9563
3 жыл бұрын
This needs to be made now.
@minidreschi2
3 жыл бұрын
Game will com to VR too :D Btw, imagine it, walking in straight life in real life, you would be in other room when in the game you get back where you started from and just made a circle around the house :D Something like go around the world.
@Bobylein1337
3 жыл бұрын
This already gave me nausea just from watching it full screen...
@darkflamesquirrel
3 жыл бұрын
I could barely handle watching this on my phone are you kidding
I'm curious on what an intelligent life form that evolved in an environment like this would react to euclidean geometry, since their brains would be structured to understand things as getting smaller then larger and reversed above them. I feel it'll be more alien to them than spherical geometry is to us.
@grimreapybones2875
2 жыл бұрын
Ofcourse that I an unfair assumption They'd be as confused as we are Wich is to say not alot since they would have done the same math as we have ,to understand non euclidean, To understand euclidean Saying they'd be more confused is like saying A Russian won't understand french aswell As a France person would understand russain In truth neither of them would understand eachother at all
@razi_man
2 жыл бұрын
I think that is kind of overthinking. The thing that would be interesting would be: How would they react to moving in eucledian space? Since in spherical space, objects will experience a squishing tidal force as they move through space. They would freak out since their brains would evolve to being able to tell they are moving through said tidal force, meaning that in eucledian geometry, they have no way of telling if they are moving through space or not, this would simpky be normal for un eucledian dwellers.
@Xblow23
8 ай бұрын
I see where you're coming from, but I am not sure that's the case. Actually, I think we are just missing out on non-flat space experience in our world, but Euclidean space is always there. Locally, everything is Euclidean! Curvature is a global effect only.
@ChenLiYong
22 күн бұрын
“No, wait, are you saying the more I go this way, I will *NOT* eventually find my home again? What is this bizzare dimension??”
Ah, yes, my horrific abstract nightmares as a kid simulator, would play 10/10
CP, I really like my brain, please take it out of the fryer.
@harrymack3565
3 жыл бұрын
Yes, me too please. Also love your videos :D
@larsfrommars
3 жыл бұрын
Oh hey! Just found your videos like 5 hours ago. small world :)
@nanamacapagal8342
3 жыл бұрын
*video ends Thank you.
@accountdisbanded
3 жыл бұрын
Me: I'm perfectly being fine Also me: fine
@thatoneguy9582
3 жыл бұрын
-please don’t call him CP-
"Yeah this whole place Is like a circle. But not like a normal circle, more like a freaky circle"
@MNanme1z4xs
3 жыл бұрын
You are not on the circle, you are the circle
@theninjascientist689
3 жыл бұрын
Piss off, ghost!
@johnallegood4469
3 жыл бұрын
I understood that reference
@CadetGriffin
3 жыл бұрын
@@theninjascientist689 Did you mean: *_ectoplasm_** off*
@tsmooties
3 жыл бұрын
"
This NEEDS to be VR Having binocular depth perception would be absolutely fascinating watching our brains truly try to understand these worlds
@snoozieboi
Жыл бұрын
There's at least the "4D toys" or whatever it's called, not about perspective but about the 4th Dimension
@user-fi9cu4ms7z
2 ай бұрын
vomit vomit blargh blargh blegh
"are you fenced in or fenced out?" ...i actually kinda have some intuition for that (in large part thanks to your videos) now...
“Are you fenced in or fenced out?” We should build a fence across the equator just for this reason
@WEBTEAM1000
3 жыл бұрын
You'd be fenced inside one hemisphere and fenced outside the other one.
@dougthedonkey1805
3 жыл бұрын
@Lotfi Adam bro...
@absolutehuman951
3 жыл бұрын
There is a comic strip where people built a fence to protect them from wildlife and as their city grew it eventually became a fence to protect the wildlife from them.
@conservativedemocracyenjoyer
3 жыл бұрын
@@absolutehuman951 I'm 14, and this is deep
@platogkrone7161
3 жыл бұрын
@@conservativedemocracyenjoyer False.
When you install sketchy Minecraft shaders
@vii-ka
3 жыл бұрын
where did you find these i only found 4 of these types of shaders
@UltraNyan
3 жыл бұрын
@@vii-ka MiningGodBruce made a few once, there were some others that are not worth mentioning but his are the best.
@catoticneutral
3 жыл бұрын
Wait, this makes me wonder, what would hyperbolic minecraft look like?
@vii-ka
3 жыл бұрын
@@catoticneutral well for starters, there would be 5 squares at every corner instead of 4. also it would basically look like what hyperbolica looks like except with cubes.
@TheMamaluigi300
3 жыл бұрын
When you build Minecraft VR in Minecraft VR in Minecraft VR
"divide the level in half" looks at the fence on the map. The fence: C I R C L E
@supC_
3 жыл бұрын
Yes, usually you use circles to divide spheres in half. The equator divides earth in half and if you looked from the north pole, it’d also be a circle.
@bramvanduijn8086
3 жыл бұрын
I challenge you to cut a sphere in half without using a circle.
@qaasi95
3 жыл бұрын
@@bramvanduijn8086 The map isn't portraying a sphere. The whole point of the demo is that it's showcasing a "flat" plane (Flatland) but in a spherical reference frame. The fence isn't a circle either, it's a straight line.
@ruok7057
3 жыл бұрын
I know that it's like an inside out sphere
@supC_
3 жыл бұрын
@@qaasi95 Not quite, the issue is defining shapes in weird coordinate systems. 'The formal definition of a circle is "The locus of all points equidistant from a fixed point called the center." To translate, that means all points (an infinite number) that are the same distance from the center.' (credit to google) Looking at the map, you can absolutely identify a point that is at the exact center of the fence (where the fence is about halfway up the wall all around). Thus, it is a circle. However, it is undeniably straight within the coordinate system, making it a line, so you aren't wrong there. But the Equator is also a line if you look straight down it as well as a circle centered on, well, the center of the earth, so there's no reason that I can see that it can't be both a line and a circle. (Although technically it would be a line segment at most because it does not extend infinitely, as evidenced by the fact that if you were to make a marking and follow the fence, you would eventually return to the marked spot and the fence is thereby not infinitely long)
1:48 For some reason, seeing you walk around this area with this music gives me nostalgic feeling. Especially at 2:43 with the illusion of the reverse house with concave floor and a massive area. I just don’t know why
I love the idea of seeing non-euclidean geometry like this. "Non-euclidean" is so often misused for locally euclidean spaces, but this is something truly alien. This is what HP Lovecraft was so terrified of.
@SSM24_
3 жыл бұрын
Yeah, the title of his "Non-Euclidean Worlds Engine" video bothers me a lot because it's really just Euclidean space but with weird doorways and tunnels that put you in different places than you'd expect. But this? This is just something else.
@nathandeere683
3 жыл бұрын
No kidding. This is so freaky, so alien, it's the stuff of nightmares. I remember seeing distortions like this when looking through the curved glass of tanks at the aquarium and how unsettling it was. Also, much more recently, when playing Psychonauts, there's a small part when fighting the lungfish where if you go up to the edge of the battle area (the wall of water), the water hands appear to keep you from going outside the boundary. However, when you move away, they too move away--but instead of getting smaller, they get _bigger._ I don't think it was meant to be creepy, but somehow, the idea of something getting bigger as it gets farther just freaks me out. No wonder Lovecraft referred to strange geometries so much.
@misterZalli
3 жыл бұрын
That, and miscegenation
@deangeloenriquez1603
3 жыл бұрын
The world we live on is by definition non-Euclidean all parallel straight lines eventually converge In Euclidean space triangles always have an interior angle of 180° and only one corner can be 90° or more On earth starting from the equator heading north to the north pole turning 90° going back down towards the equator and returning to your point of origin you have created a triangle with three 90° angles
@nathandeere683
3 жыл бұрын
@@deangeloenriquez1603 The world is a sphere, but it exists in Euclidean space. It is not spherical space. This is why when we travel in a "straight line" on the earth, we're actually curving around the surface, and it is visibly a curve. In true spherical space, you could travel in a straight line, but then if you moved perpendicular to it, it would appear curved--even though it would actually be straight.
things I'd like to see: - jetpacking into the sky to the other side of the map (you'd have to flip halfway?) - a pole from one side to the other - no floor, just an "asteroid field" like situation (you would see yourself massively?)
@LCTesla
3 жыл бұрын
@@Painketsu if light can travel across, so can you
@LCTesla
3 жыл бұрын
@securitycountercheck if the self is solid, that "objects at infinity" thing will be irrelevant, because all light will be blocked by one's own body
@terdragontra8900
3 жыл бұрын
@securitycountercheck you can deal with the singularity (which is more accurately referred to as the "north pole" not the "center", thinking of the 2d example) by just having the gravity decrease to zero as you get closer to it (which is what would actually happen in such a universe) Of course the camera might need to flip abruptly, but you can solve that by having the camera be free when the gravity is low enough
@LCTesla
3 жыл бұрын
@securitycountercheck @securitycountercheck if there is no ground, you could look in any direction to see the other pole. also you would see past it and see your own pole again, with you projected massively on it (inside-out in every visible direction). even weirder is that, ignoring the gravity generated by the floor, every point on the map IS a "pole" and has a corresponding opposite pole. an interesting thought experiment would be to imagine the floor as a translucent membrane. at the gravitational poles (on both sides), the floor looks like a sphere. at the floor itself, it looks like a plane. now imagine it with two such membranes crossing each other perpendicularly... at the point they cross, both are planes, but there is also a point where one is a sphere and one is a plane.
@josepalacid
3 жыл бұрын
@@LCTesla Maybe you could add the correct amount of fog. Vision will depend on the ratio "radius of the sphere" / "light dispersion"
this is how mario feels after eating all them shrooms
The reverse perspective part along with the background music, is all like some dream I had a long time ago as a kid and it always makes me feel nostalgic.
𝓈𝓅𝒽𝑒𝓇𝑒 𝓌𝒾𝓈𝒹𝑜𝓂𝓈: >running from your problems eventually makes them bigger. >don't 𝓋𝑜𝓂𝒾𝓉 in sphere land, it is an enclosed space.
@nicolasribeiro7914
3 жыл бұрын
that is a good wisdom
@OfficialReggarf
3 жыл бұрын
ba ba ba
@6exG
3 жыл бұрын
>switching to your pistol is always faster than reloading.
@Pete-Logos
3 жыл бұрын
"100π-th" person to like your comment! Well, approximately "100π-th" since 100π ≈ 314.1592 ≈ 314-th like (Man, I just realized that I will take advantage of every opportunity I spot to utilize the new Math symbols locked to my clipboard. I can just paste without copying like "what!!") 🤓 And now we wait... I just have to be patient, I got this. It's just a matter of time before the "square root" of "something" comes up naturally in a conversation & I can be ready like: "Ohhhhhhh, you mean √x right? I have no idea what 'sq rt' stood for; I was like 'is he trying to spell 'squirt?' Yeah, I get it, but now it's clear," (thanks to me.) Omg I would sound like a major d**k wad. (I'm doing it.) Oh, wow... look at that: my new symbol got used; that was so unexpected and natural. 😀 (I recently broke up with my girlfriend; pasting that √ with 1 click was the high point in my day. She was such a foul mouthed little slut... I'm going to miss that the most.)😔 Sorry guys, I need a moment.☝️😖 😫→😭→😙💨 whew... oκ 🤧 I'll be oκ. (these→ arrows are also new.) edit : "I sound like a major d**k-wad" & "(these→ arrows are also new.)"
@Nytrouse
3 жыл бұрын
@@Pete-Logos Yeah bro sometimes I just open my clipboard and all the ↑⇐←↦ℒℳℂℕℚℝℤ½¼∕⊥∥≪≫~ΓΔΛΞΠΣΦΨΩαβγδεζηθκλμνξπρστυφχψω⇒→⇔↔∈∉⊂⊆⊄⊈⊃∪∩∖∅∏∑¬∨∧⊕∀∃−±·×÷²³√∛≠≈≡≝≤≥°∠ fall out and I'm just like... W̶h̶i̶c̶h̶ ̶o̶n̶e̶ ̶w̶i̶l̶l̶ ̶g̶e̶t̶ ̶m̶e̶ ̶b̶i̶t̶c̶h̶e̶s̶ ̶t̶o̶d̶a̶y̶?̶?̶?̶?̶?̶?̶? Where's that one I need to comment on the paper I'm grading?
This game would probably be a neat educational tool, especially for encouraging people to studay maths at university
@SonGoku-iw4zk
3 жыл бұрын
Or independent study, perhaps under a mentor who knows a lot already.
@giin97
3 жыл бұрын
@@SonGoku-iw4zk which is arguably the far superior option.
@Damond_Warrior
3 жыл бұрын
Nah its just a way to get nausea
@MM-yj7yt
3 жыл бұрын
Baiting kids into university level math with some fancy trippy games. This just sounds cruel.
@danielmcelroy4505
3 жыл бұрын
Bump
In Hitchhiker's Guide to the Galaxy part 4, there's a guy named Wonko the Sane who comes to the conclusion that the entire world has gone mad and he's the only one with his head screwed on right. So, he does what any sane person would do, and builds an inside-out asylum, with the entire world on the "inside" and his home on the "outside." The book describes it as hadd to wrap your head around, but i imagine it would look some like 2:33
So, when the outside of the house seemed to contain us, I immediately imagined this is what the outside of the asylum looked like in Douglas Adams' so long and thanks for all the fish.
Imagine trying to play billiards in this world.
@globalincident694
3 жыл бұрын
I guess it wouldn't be that different, since you have to get close up to the table to play. Unless you had really extreme curvature.
@8bitMushroom
3 жыл бұрын
Imagine golf
@Mattstak
3 жыл бұрын
I think it might actually be easier, because your shots would be more accurate.
@ZenoRogue
3 жыл бұрын
There is actually a VR game "non-Euclidean billiards" by Jeff Weeks. It is quite cool, but I am not sure whether it is already publicly available. There is a paper in Bridges conference about it.
@phacey4444
3 жыл бұрын
@@8bitMushroom it would be hard for us but to someone used to this kinda world it probably wouldn't be that hard
FPS game using spherical geometry: headshotting the farthest player
@lev7509
3 жыл бұрын
Noscope players be like:
@ap1evideogame44
3 жыл бұрын
Oh wow, you're right! It would be so friggin' easy!
@ramirezcameron
3 жыл бұрын
if you crouch they'd be an even bigger target, but there'd be a smaller window they'd have to be in to be zoomed in like that.
@KyokuiGhostASMR
3 жыл бұрын
Keep in mind that aiming in and of itself is a headache to think about. Just imagine how weapon spread would work, when your bullets get bigger the farther away they are, however are still actually the same size.
@bab.7796
3 жыл бұрын
Oh my gosh I didn't even think about that! The bullet would get bigger as it approaches the face of the guy you shot at that already takes a lot of space in the sky
So... The sky does exist but person from this point of view can not um "experience" it? This is so cool and mind-blowing
I find this geometry extremely scary for some reason. It was actually kind of hard to watch this video all the way through because I felt so scared looking at the scary nightmare world
@georgiangelov13
3 жыл бұрын
Ikr, I tend to be Carsick but the 3D Spherical Geometry World was way worse on the “Making me Dizzy to the Point I feel like Throwing up” Scale
@clintonleonard5187
2 жыл бұрын
Yeah, I have a fear of voids, and this is terrifying.
@igorjosue8957
2 жыл бұрын
maybe claustrophobia but isnt a close space, in reality is a close space but not like inside a box, its much more like a tiny world that has limited space, but u only thinks is infinity becuz when u see at a side, u could see ur back
@Zero-pe7mc
2 жыл бұрын
@@georgiangelov13 Yeah, it was strange my mind periodically said: This is natural, but you're sick, throw up now!, and then So if light goes this way this is actually simple to understand! Then when it got tired QUICKLY! PUKE NOW!
@umotex12
2 жыл бұрын
IMO its super claustrophobic, there is no escape and there is no sky
"are you fenced in or are you fenced out?" idk, but the grass looks greener on that side :)))
@SpaceMissile
3 жыл бұрын
nice. reminds me of Sir Ben Kingsley in Lucky Number Slevin: "I am a good man who does bad things. I live on both sides of the fence; my grass is always green."
@tristenarctician6910
3 жыл бұрын
0,255,0
@SpaceMissile
3 жыл бұрын
@@tristenarctician6910 green?
@tristenarctician6910
3 жыл бұрын
@@SpaceMissile :)
@codinghub3759
3 жыл бұрын
@@tristenarctician6910 #00FF00
This could be the scene for such a great short story/game. Imagine someone wakes up one day, stuck in this world with one house, a pond, and a small grove of trees. Any direction they go they end up back where they started, not only that if they try to leave some area behind it only looms over them. Tired of the house? Even if they walked to the other side it weighs down on them from above like the demons of the characters past. There’s so many themes you could explore and I’m so excited to see where you take it in the game!
"Are you fenced in or out?" Yes!
Menwhile, in a parallel universe with sferical geometry: A man sees a video called: ecludian geometry is very strange The man: what is this mess?
I would love to see DLC called Sphericala cause spherical looks so interesting
@DokterKaj
3 жыл бұрын
If I remember correctly, spherical geometry will be in the main game.
@tobybug779
3 жыл бұрын
if you look closely in the trailer, you can see some stuff is spherical instead of hyperbolic. I suspect Hyperbolica just sounded cooler.
@nutmeggaming11261
3 жыл бұрын
@@tobybug779. I imagine there are different worlds or something. Some of them are inside out, and some arent
@h-Films
3 жыл бұрын
@@tobybug779 I couldn't find it, timestamp?
@ninjacat230
3 жыл бұрын
Take a look at 0:08 this s spherical x and y with a euclidian z, which is the correct spherical counterpart to the H2xE space most of the game takes place in. They use H2xE because gravity in hyperbolic space is freaking weird, and might not even work
2:20 "Now lets go to the opposite side of the level" Spacetime folds in on itself, you pray to whatever the god is of this twisted world that your death will be brief
@deadgonk1
2 жыл бұрын
Death will be swift* A brief death would have you die for a moment, then bought back again to continue experience the wild dimension!
@lifeisgood420365
2 жыл бұрын
@@deadgonk1 no it wouldn't
@marielikes2502
2 жыл бұрын
life is good! Brief would imply something happened only for a little while
@lifeisgood420365
2 жыл бұрын
@@marielikes2502 ah damn, you're right lol... It just sounded so wrong the first time
I would be terrified of living if our world was like this.
This is the kind of geometry doodles I used to draw as a kid. My math teachers thought I was weird because I seemed to get the concepts wrong but understood the formulas. I’m so happy I found this channel!
Me: watches a CodeParade video My brain cells: *Adios*
@harikishore2514
3 жыл бұрын
Loved it
@theeveronever1554
3 жыл бұрын
Underrate
@josepalacid
3 жыл бұрын
Desde Chiquito de la Calzada se dice: "Hasta luego Lucas!". "No puido, no puido,.... cobbardee... "
This is like 360 fov but less tripping...
@andrasfogarasi5014
3 жыл бұрын
imagine spherical geometry with 360 fov
@zuzka9061
3 жыл бұрын
@@andrasfogarasi5014 either it looks like euclidian geometry or it becomes a monster
@erdmannelchen8829
3 жыл бұрын
@@zuzka9061 If you just look up you effectively have 360° Vision across the surface.
@cobalius
3 жыл бұрын
Exactly xD
@maxwellli7057
3 жыл бұрын
@@zuzka9061 would just be a moving map with you looking down
This is what flat earthers think a globe earth looks like.
@baronvonbeandip
2 жыл бұрын
I don't think so. It's more that they don't think... anythinf at all.
This is beautiful, I was always curious about this idea but was never knew how to visualize it, like _really_ visualize it. You've both quenched my curiosity and stirred it up more. Thank you
This video makes me feel claustrophobic
@exoskeletons
3 жыл бұрын
There's no sky
@durnsidh6483
3 жыл бұрын
Well, it is quite literally smaller than euclidean space.
@alotino
3 жыл бұрын
@@durnsidh6483 but... the fact that there *is* sky but you can't see it .... odd
@theuncalledfor
3 жыл бұрын
Well, it's a small world after all.
@raze7x
3 жыл бұрын
Me too, I felt really uncomfortable!
I'm so excited to play it! :D
@Hinigatsu
3 жыл бұрын
Fofo
@renomado8616
3 жыл бұрын
ô rapaz
@maxnewdf
3 жыл бұрын
sim policial, é ele sim. quero uma multa de 40 mil agora nesse rapaz
@torn3621
3 жыл бұрын
Ué
@stacklysm
3 жыл бұрын
O que vc faz aqui
I'm so in love with this geometry. I think a multiplayer shooter in this kind of space would be extremely fun and interesting
when I first watched this, I was like "how badly could you get sick from this" and "isn't this is just walking around the inside of a sphere...?" but then I played that farm level in hyperbolica and after many migraines & hours of motion sickness later🤢 I realized that spherical geometry is still just another "flat" plane one travels on; it just didn't click until I experienced it. Also, the wells and their interaction with each other blows my mind.
Personaly, my brain interprites this as being inside a concave sphere.
@RubelliteFae
3 жыл бұрын
Is that not what it is?
@thethievingmonkey
2 жыл бұрын
@@RubelliteFae Not really. If it was a concave sphere in euclidean space, objects on the other side would look smaller rather than larger. Also if he were to dig straight down, he would end up in the surface at the opposite side, while in a concave sphere he would end up outside of the sphere.
@RubelliteFae
2 жыл бұрын
@@thethievingmonkey Oh, I see. ty
@yoursleepparalysisdemon1828
2 жыл бұрын
@@thethievingmonkey That what I think, except to I feel like there is a magnifying glass in the sky. Like a sphere.
The second I got this notification I stopped everything I was doing (eating lunch) and went straight here. This is the most hyped I’ve ever been for a game and I actually cannot wait until it comes out! Keep up the good work
@dlfon99
3 жыл бұрын
I may end up late for work, but who cares when there's spherical geometry and Hyperbolica news!
@Henrix1998
3 жыл бұрын
Why would you need to stop eating to watch a video?
@TomtheMagician21
3 жыл бұрын
Henrix98 so I could watch it as soon as possible and then finish my lunch that I was eating at 3:00
@diakounknown1225
3 жыл бұрын
I got confused for a bit because currently it's 11pm in my country.
@DarkThomy
3 жыл бұрын
I share the hype, beware not to burn out yourself still.
spheric geometry looking like those dreams in which you climb an impossibly steep road
An equivalent perspective, and one that's much more intuitive, is to think of spherical geometry as if you're on the inside of the spherical shell instead of the outside which is shown in the video.
@ordinarytree4678
2 жыл бұрын
Ohhh!
@2fifty533
2 жыл бұрын
how?
@SSM24_
2 жыл бұрын
Ehh, not really. It _kinda_ looks like that, but it's not really the same thing at all.
@2fifty533
2 жыл бұрын
that's not how it works, if you were inside a spherical shell then it would just be normal euclidean geometry and if you looked up you'd see the sky but that's obviously not the case
i've never had so much desire to play around in mobius-land, or kleinbottle-land.
@Callie_Cosmo
3 жыл бұрын
Holy shit that would be like taking 5 acid tabs and taking a bath
@dreska255
3 жыл бұрын
That's a pretty neat idea actually. Imagine like a wraparound toroidal map but you got to walk through the same area on a different "side" before coming back to where you come from
@henrikljungstrand2036
3 жыл бұрын
Elliptic projective space works as well. It also has only one side, and you can move along a straight line to mirror invert the landscape and its inhabitants (or equivalently inverting yourself). At least it works for the elliptic 2d plane, in elliptic 3d space, i suppose things are merely flipped upside down when you return.
@henrikljungstrand2036
3 жыл бұрын
@Electro_blob I would say 8 forms of LOCALLY EUCLIDEAN isotropic 3 dimensional geometry, using universal covers only. There are various forms of LOCALLY MINKOWSKY curved isotropic geometries also, in 2 and 3 dimensions. Like the 2d plane i like to call the Dual Hyperbolic plane, of indefinite signature and constant negative curvature, shaped like a torus. Or its quotient space with the topology of a Moebius band, which is in perfect 1 to 1 correspondence with the Hyperbolic plane, when interchanging points and lines, and interchanging squared distances, and squared sines of angles with each other. Going to higher dimensions than 3, there are more "flat" base geometries than Euclidean and Minkowsky.
Meanwhile is parallel universe with spherical geometry : Euclidean geometry is so weird !!
@michaelleue7594
3 жыл бұрын
Honestly, it wouldn't be so extremely weird. Euclidean geometry is just what spherical geometry looks like on a small scale relative to the size of the "universe", so it would just seem like you've been shrunk by some amount. And if the size of your perception relative to the size of the spherical universe was small enough to begin with, you wouldn't even notice a difference. It's entirely within conception that our universe actually is spherical...just very, very large (although cosmological evidence points against it currently).
@MrJustSomeGuy87
2 жыл бұрын
Meanwhile in that same world: who’s Euclid?!
I'd love to see how much more smooth this looks on a larger plane, like an earth sized sphere.
Why did I feel hypnotized and my brain went all "fainting-goat" as my eyes got heavy and I almost fell asleep. I don't think I was ready.
1:40 "Are you ready to go one dimension higher?" No,but do it anyway.
the earth isnt round, reality is
@whammo5779
3 жыл бұрын
aCtUaLlY tHe eArTh iS fLaT
@ZX81v2
3 жыл бұрын
Close... It's Doughnut shaped ! - Homer Theory :)
@jumbledfox2098
3 жыл бұрын
@CrowGaming So close! Its actually a torus knot!
@SlenLen
3 жыл бұрын
@@jumbledfox2098 Still not right. Its a dinosaur.
@TheAechBomb
3 жыл бұрын
everybody knows the earth is an isododecahedron
There should be a shooting game like this. The creativity is endless
Woah this is trippy. Well done on creating an actual interactive, 3d visualisation, looks super cool!! Had to subscribe!!
Me after eating the sugar I found under my uncle's bed:
@ImehSmith
3 жыл бұрын
🤣🤣🤣🤣🤣👍👍
@billyandrew
3 жыл бұрын
Yeah, a sweet, yet _strange_ tooth. 😂
Steam: "This game doesn't look like other things you've played in the past." Me: 😂
You're a great tutor. We appreciate you helping visual cortexes and concept cells. Thank you
3:27 "Are you fenced in, or are you fenced out?" Yes.
Huge props to Code Parade, he made a whole new code that could just have easily been its own game just to explain this concept.
@FireyDeath4
3 жыл бұрын
It WILL be it's own game.store.steampowered.com/app/1256230/Hyperbolica/
@FireyDeath4
3 жыл бұрын
boof And who are you to tell me that this guy is joking when he could be simply not reading the description or watching the whole video?
@FireyDeath4
3 жыл бұрын
Well I assume you're just a layperson on the internet then, so...yeah
Woah there's a giant beast out on the horizon! Oh that's just my cat.
@paulensor9984
3 жыл бұрын
Why is your cat on the other side of the world?
This absolutely trips me out. I watched it when it came out and just got reminded of it and it still blows my mind
the description of hyperbolic perspective makes me think it’d be excellent for horror games based around the more creepy type uncanny valley, while spheric geometry would be great for more “oh god that’s not x that’s DEFINITELY not x” uncanny valley
👉 You’re fenced in! 👈 No you’re fenced in! Life in a spherical world..
@TheAbsol7448
3 жыл бұрын
You're breathtaking!
@KnekoKcat
3 жыл бұрын
We're perpetually fenced in!
I'm just imagining a team combat game in a spherical geometry world... how could combat and strategy work when everyone is visible at all times? Could you get used to this projection? Very cool stuff.
@CodeParade
3 жыл бұрын
Finite bullet speed or obstacles can make things more strategic, otherwise yeah you could shoot from anywhere to anywhere.
@WaterDroplet02
3 жыл бұрын
@SArpnt then people could shoot you from above, from across the level. i mean i guess that could easily be countered with rooves.
@PedanticPig
3 жыл бұрын
A battle royale where instead of the arena shrinking, space does.
@jasonalen7459
3 жыл бұрын
@@WaterDroplet02 Though you could easily hide from a specific player by hiding behind nearby objects
@Royvan7
3 жыл бұрын
more interesting is if you made a big enough space the mid distance from you would be too small to see but the farthest players from you would be very visible. well assuming you did this style of ground/gravity set up.
I can imagine a real funky platformer game like this
"Is that it? Is that how you turn a house inside out?"
@alexandermcclure6185
Ай бұрын
now for the version that discusses incest >:)
Jesus this is so trippy, I love it.
Sphere geometry bullet hell games would be terrifying.
@alexp.7068
3 жыл бұрын
That bullet wasn't in front of you.
@Ratsos12
3 жыл бұрын
Alex Popov and yet it struck me in the knee.
@alexp.7068
3 жыл бұрын
@@Ratsos12 seems like you'll have to become a guard.
I think the coolest part is that you can still tell that far away things are far away
"Farther away objects can appear larger than closer ones." Me: "ah, so *that's* how you make a TARDIS's interior."
I would love to see a much larger map in Sperical space...
@AAArnold
3 жыл бұрын
Same, I feel it might be much harder to comprehend when it's this small.
ok but isn't this like, almost EXACTLY how a black hole bends light around itself? either way, could be utilized in horror REALLY well lol
@nicholasmitchell6025
3 жыл бұрын
the corona formed by a black hole is just the light that reaches your eye. A large proportion of the light just falls thru the event horizon. Black holes don't really bend light around themselves, they just drag light towards them, and the rays that happen to be travelling tangentially to the event horizon go into orbit. It's a bit like saying the Sun bends the solar system and solar debris around itself, v strange wording. The analogy is interesting though, because a black hole is an extreme "tightening" distortion of space, so from the outside "looking in" the geometry would appear spherical. Falling in, the very edge of the hole would represent a greater distortion, the dot of space opposite you magnified to infinity, while the infinity of space shrinks to a pinprick behind you. Cool!
@altrag
3 жыл бұрын
It would be similar. Its what you would see if you could stand exactly at the event horizon and watch the light beams exactly circling around -- neither falling in nor escaping. Oh, and only for a non-rotating black hole with no charge. Of course none of that is plausible in the real universe: - You'd be spaghettified by tidal effects long before you got to the event horizon, never mind being able to stand on it/ - Quantum mechanics means the photons in those those light beams would eventually fall in or escape due to uncertainty (and new photons would join the party from wherever in space they originated.) - Uncharged black holes are expected to be the norm (and we've so far never observed a charged one.) The universe as a whole has (essentially) zero net charge and there's little reason to believe a black hole would have a charge bias as it accumulates its mass. So that one wouldn't really be a problem. Phew! - Non-rotation is much less likely though. I mean I guess on the absolutely grandest of scales, angular momentum should be zero (unless we want to assume that whatever caused the big bang had some pre-existing angular momentum that it fed into the early universe!) But angular momentum is a vector quantity (unlike charge which is a scalar) and the chances that the accumulated material all has angular momentum that exactly adds to zero is vanishingly small. AFAIK, we've never observed a non-rotating black hole in nature.
@alexanderm5728
3 жыл бұрын
@@nicholasmitchell6025 Just a minor point: Rays that travel tangentially to the event horizon don't go into orbit, they go into the black hole. Photons can orbit around the photon sphere, 1.5 times farther out than the Schwarzschild radius/event horizon. Also, I think it's pretty reasonable to say that 'black holes bend light around themselves'. It's very close to the technical explanation, that is, that black holes (and other massive objects, for that matter) warp spacetime so that null geodesics go around the object in space.
@nicholasmitchell6025
3 жыл бұрын
@Alexander M You're right! Tangential was a misnomer. But for your second point it's all a matter of perspective. This is more of a semantic concern, but I don't think it's accurate to say a black hole bends light around itself because it isn't an active pursuit. Black holes distort spacetime and a passive result of that is the "bending of light" (more of a straight line path in this curved space!). Saying that light is pulled towards them was completely wrong, though, it's not appropriate to use Newtonian physics in a discussion about black holes (lol). Probably should have looked that one over, it was late at night though. Thanks for pointing that out
@bowtiefrenchfry800
3 жыл бұрын
i feel like im being made fun of because I have no idea what yall are saying lost you guys a bit after photons and it just took off from there
If that world is a sphere or the surface of some hyper sphere, then I imagine that the fence is going all around the equator so be inside vs outside is a matter of perspective.
"are you fenced in or fenced out" - like a box defined as excluding the universe. Your description immediately seemed casually familiar at the outset though, perhaps partly from playing a lot with incomplete convex mirror spheres. Fascinating stuff! But for some reason I'm imagining this sort of visualisation being used in dentistry... 🤔☺️😲
This felt very comforting to me, like something out of my dreams. Maybe now I have an explanation for why they always feel like I'm both inside and outside - they take place in spherical space!
@ImehSmith
3 жыл бұрын
My dream my fifth dimension was nightmarish ‼️ . But it’s interesting to know others have had dreams of the fifth dimension spherical universe as well
@joshuascholar3220
2 жыл бұрын
Feel the same. Cozy little worlds.
@shoesncheese
Жыл бұрын
I said "holy sh*t" out loud when watching this because it was so close to something I dreamed. Even the realization that I was inside and outside a house at the same time.
3:26 "Are you fenced in or fenced out?" ... Yes.
This video really made me want Hyperbolica. Nice job!
This was so cool bro! Thanks for uploading! 👍👍
I remember seeing another video on what a galaxy in a spherical world would look like and honestly that house was such a better explanation/example of how things on the other end look inside out
@redforest9269
3 жыл бұрын
Link?
This makes me sick and dizzy. Imagine seeing it now in VR.
@daPvta
3 жыл бұрын
I would panic. When the first person perspective started I got chills already.
@ImehSmith
3 жыл бұрын
and seizures 👍👍👍🤦♀️🤦♀️🤦♀️
@sturmx96
3 жыл бұрын
Imagine playing it in vr stoned.
This is absolutely INCREDIBLE! My brain exploded from the sheer awesomeness of this video. When the house appeared inverted, I let out an audible, "Whoa!"
this is giving me the creeps dude, and thanks to all the reference and your explanations we know whats happening its nicely done.
Me for the entire length of the demo: “whoa” “dude” “whoooa” “no way” “whoa”
This would be absolutely terrifying, my vertigo would make me hug the ground constantly. Edit: especially with a much larger world, oh my lord
@AdenSerenity
3 жыл бұрын
The larger the world is, the closer to flat the curvature gets and the more normal everything looks. It's the small size of this example that makes it so intense.
@desimujahid
3 жыл бұрын
@@AdenSerenity What would the sky look like in spherical world the size of earth?
@mbesaccia
3 жыл бұрын
@@desimujahid i guess youd see some nearer objects warped but you wouldnt be able to see far away objects like in real life
@amythetoon6535
3 жыл бұрын
god imagine this in vr
@TheGeekRex
3 жыл бұрын
I have terrible vertigo and agoraphobia, this was giving me sweaty palms while simultaneously being fascinating.
i was thinking about how much i'd love to play a game like this and then you said it was gonna be a game! this is a really cool effect!
i always come back to this video because it's just so magical. it reminds me of the final scene in the movie interstellar, when the main character looks out the window in the future and sees this surreal world where hills wrap around the sky and gravity is warped. i'd love to be able to simulate spherical realities too.
Can't wait for flat earthers to misinterpret this as proof of a flat earth
@j.hawkins8779
3 жыл бұрын
**GRABS SNIPER RIFLE; IM READY TO TURN PEOPLE INTO GIBBLETS*
@SpaceMissile
3 жыл бұрын
it is tho!
@benthomason3307
3 жыл бұрын
@@SpaceMissile no it's not. you live on a spherical *object* resting in a *euclidian* space. this video is a demonstration of what would happen if *space itself* was spherical
@SpaceMissile
3 жыл бұрын
@@benthomason3307 (feedest ye not the trolls! lol)
@w.o.jackson8432
3 жыл бұрын
@@benthomason3307 If light was more strongly affected by gravity such that it was bound to the surface of the earth, would that simulate spherical space in that case?
Normal FPS: Im gonna shoot the closest enemy because it's easier to hit him Spherical FPS: We don't do that here
randomly found this video, and now im hooked and added to my wishlist thank you
This "close things appear quite normal" effect is a defining property of manifolds. All n-dimensional Riemannian manifolds resemble R^n around every point in a small neighborhood. This video portrays that fact really nicely. Fantastic work.
@PokeNebula
3 жыл бұрын
Thank you, poop catapult