"Honey, can you knit me some non-euclidean planes?"
@Jellyjam14blas4 жыл бұрын
Lmao 😂
@xoddampro4054 жыл бұрын
no :)
@warny19784 жыл бұрын
"Look at me eviscerating you, and you'll see some hyperbolic intestines" "Are you sure" "I was joking, here it is"
@omnificatorg44264 жыл бұрын
Search for Crocheting adventures in hyperbolic world
@columbus8myhw4 жыл бұрын
Daina Taimina did a nice Ted talk on hyperbolic crochet: kzbin.info/www/bejne/rWK3c42emZKmhJI
@outdateduser70364 жыл бұрын
When you stop paying attention in calculus for 3 seconds
@illyias4 жыл бұрын
Too real
@RadeDobison4 жыл бұрын
holy shit how did you do that lol
@Psychospheres4 жыл бұрын
Sorry can someone explain this to me? I didn't take calculus and now I feel left out.
@Legendnewer4 жыл бұрын
@@Psychospheres Basically you lost track of everything, you don't understand anything of what the professor is saying, it can be any topic but calculus is a prime example
@Nekiplex4 жыл бұрын
We dont even need to know calculous in my country so i have no clue what it is. it is taught but you have to finish school. Its litterally not an option for any GCSE math tests. So you could just never know about it for your entire life
@lordvincenteperez41962 жыл бұрын
can you just imagine beings of 4D using our 3D to explain 5D
@tyresefarrell Жыл бұрын
Quite literally no🤣
@shouvik8267 Жыл бұрын
We perceive 3d with 2d images, so 4d beings would be able to percieve 4d with 3d images. It's like looking at all sides of a cube at the same time, but sadly I can't even begin to imagine it for I am confined within limits of 1d brain.
@NotRealChatGPT Жыл бұрын
@@shouvik8267 i have a 0d brain
@reizinhodojogo3956 Жыл бұрын
@@shouvik8267 transparent cube: bro where i am i don't exist?
@NotRealChatGPT Жыл бұрын
@@reizinhodojogo3956 no because i'm going on a walk and i and you are just being mad and not just being scared 😟 not being a pain to you help you with this and your life in your hand ✋ and a dream 🛌 and a new life you are a beautiful 🤩 woman 👩 you can do nothing but like 👍 you don't need a job that i you have no way more to get it into the center island 🏝️
@Starnoxiar4 жыл бұрын
"But first we have to talk about parallel universes" nice.
@icicleditor4 жыл бұрын
I’ll be honest, that killed me.
@wacesferpit4 жыл бұрын
specially love the Mario 64 extra reference with the music
@ber29964 жыл бұрын
To answer that, we need to talk about parallel universes
@OneShot_cest_mieux4 жыл бұрын
I think it's a reference to the youtube channel TerminalMontage
@yasd84934 жыл бұрын
@@OneShot_cest_mieux *Pannenkoek2012 The meme started there
@carykh4 жыл бұрын
whoa, that's crazy that you can figure out the areas of triangles just by knowing its angles. It feels like there's something missing in the formula but there's not!
@papskormsepic76704 жыл бұрын
whats a triangle
@jellevanderdrift13024 жыл бұрын
I think the channel 'think twice' has a video about the derivation.
@benlev33754 жыл бұрын
It's a curved space so I think that the only radius/length is scaled by pi, so pi is defined maximum when projecting onto a 2D space.
@friedkeenan4 жыл бұрын
Yeah that blew my mind. At first when he said there was no Euclidean equivalent, I thought "What? You can find the area of a triangle in Euclidean space, it's just 0.5bh" but then he said only using the angles and my whole concept of reality disintegrated. Btw, love your videos, cary
@vari15354 жыл бұрын
hi cary
@entitydotexe61383 жыл бұрын
CodeParade: "Stay Hyperbolic" Me: *proceeds to occupy the entire volume of the universe*
@lullabypoppera39143 жыл бұрын
There's not enough room for the two of us!
@placeholdername39072 жыл бұрын
@@lullabypoppera3914 then we're just gonna have to share *cue just the two of us
@lavasqrl702 Жыл бұрын
@@lullabypoppera3914 Correction: Three! That's right, I sort of understood it! *proceeds to occupy the entire volume of the multiverse*
@jackgreenearth452 Жыл бұрын
@@lullabypoppera3914 Just kidding! There's plenty of room here in hyperbolic space! (paraphrased from Hyperbolica because I can't be bothered to open up the game and talk to that guy in the badlands just for a youtube comment)
@funnifunnifunni5 ай бұрын
@@placeholdername3907 we can occupy the same exact space if we try
@TheVoidIsBees4 жыл бұрын
I feel like I just gained 100 braincells but lost 300 points psychic damage.
@Astlaus4 жыл бұрын
That's what math does to you. You gain insight, but you lose sanity.
@a_soup_can4 жыл бұрын
I always knew math was black magic
@joda76974 жыл бұрын
@@Astlaus Thats a good description. I first had that when learning about cardinal numbers. Like, why the fuck are there just as many fractions as Integers, allthough the integers are a subset?! But then i learned why and booom, insight + psychic damage.
@CrescentUmbreon4 жыл бұрын
So it's Bloodborne. Oh god
@sameman68844 жыл бұрын
+1 intelligence -10 HP
@PleasentDddd4 жыл бұрын
“All the angles are 0 and the area is pi.” As someone who loves geometry, this statement really through me off.
@yuvs04 жыл бұрын
PleasentDddd I guess you just gotta think it threw a little...
@PleasentDddd4 жыл бұрын
Yuvraj Sethia frick
@viktornicht2604 жыл бұрын
As someone who also loves geometry, it really turned me on lol
@Waterwolf2214 жыл бұрын
threw*
@anrriveradxndsigamer14954 жыл бұрын
I’m hungry now
@rosearachnid8793 жыл бұрын
“Hyperbolic crochet” Come on in, sir. That’s the right password.
@MilesMetal4 жыл бұрын
"So I hope that's given all of you a little better understanding of curved spaces..." ...he says as the last remnants of my brain leak out of my ear.
@hyperbeast43403 жыл бұрын
Wait, if a black hole is spherical geometry, are white holes hyperbolic?
@proloycodes3 жыл бұрын
@@hyperbeast4340 maybe
@Armoire683 жыл бұрын
The perfect crossover doesn't exi...
@karynjohnson3 жыл бұрын
But I understood more and I am twelve years old. I am too nerdy for my own good
@MilesMetal3 жыл бұрын
@@karynjohnson You will read your comment in 10 years and cringe.
@efeersoy88804 жыл бұрын
"Hey honey, do you think you could knitt me a projection of a hyperbolic tiling in 3D?"
@Battletrolls3 жыл бұрын
@SArpnt nice
@ej-jz5rc3 жыл бұрын
@SArpnt but who asked
@ej-jz5rc3 жыл бұрын
@SArpnt if nobody did, then why did you even bother to do it?
@ej-jz5rc3 жыл бұрын
@SArpnt very obviously nobody and i pointed that out pretty clearly if you could read
@ej-jz5rc3 жыл бұрын
@SArpnt thanks for criticizing your own response
@verylostdoommarauder3 жыл бұрын
Now I understand the lovecraftian horror of non-euclidean geometry better now. If it's this confusing to us, imagine what geometry would be like for an eldritch horror.
@lullabypoppera39143 жыл бұрын
It's simple really
@efegokselkisioglu8218 Жыл бұрын
@@lullabypoppera3914 how old are you?
@robyngwendolynshiloh5277 Жыл бұрын
Now it makes me wonder how the final season of the Magnus Archives looked
@Two-BallTyrone Жыл бұрын
@@efegokselkisioglu8218 counter-argument, how old are you if you can’t get a joke?
@wrongturnVfor Жыл бұрын
I think euclidean geometry is more horrific than hyperbolic. It confines your mind too much
@etourdie4 жыл бұрын
Greenland looks like it's about the size of Africa, but in reality it's about the size of Greenland -Map Men
@BrightyLighty_4 жыл бұрын
kzbin.info/www/bejne/oKWlh2Z9nLZ_nZo for the uninitiated
@coyraig83324 жыл бұрын
Map Men MAP Men MAP MAP men men
@d.l.74164 жыл бұрын
It’s actually MAP men MAP men MAP MAP MAP men men men
@gregli98214 жыл бұрын
@@d.l.7416 MAP men MAP men MAP MAP MAP men men men
@Tomajdafrytrix4 жыл бұрын
map men map men map map map men men
@michaelzopff88624 жыл бұрын
Oooh! Holonomy is the reason why, when rotating a 3D object with a mouse, the orientation quickly gets messed up, isn't it? That would explain why my trick of moving the mouse in small circles clockwise or counter-clockwise works, too.
@CodeParade4 жыл бұрын
Exactly!
@bencressman61104 жыл бұрын
@@CodeParade It's cool that when we hold a globe in our hands, we automatically rotate it as we, well, rotate it to compensate for this effect, so we always orient things the way we are used to seeing them in map projections (keeping north "up")
@thelegend85704 жыл бұрын
Oh hell, i knew i'd seen that somewhere before, i guess that explains it!
@rententee4 жыл бұрын
That's what came to mind for me as well!
@kosherkingofisrael63814 жыл бұрын
It also reminds me of certain gears
@99kylies152 жыл бұрын
'isnt that neat?' while talking about non euclidean formulas almost made me tear up. This man's gentle, genuine enthusiasm really is so endearing and lovely. Thanks for this vid, can't wait to check out more.
@woodant19814 жыл бұрын
I actually just got non Euclidean tiling in my bathroom.
@thatboredinternetwanderer1404 жыл бұрын
wait seriously
@ambrosxa4 жыл бұрын
How was it?
@doppelrutsch95404 жыл бұрын
You have a curved bathroom floor? Isn't that kind of impractical?
@CodeParade4 жыл бұрын
I too enjoy my showers in R'lyeh
@thatboredinternetwanderer1404 жыл бұрын
@@doppelrutsch9540 yeah but i imagine it looks cool
@thecheesybagel85894 жыл бұрын
No one: My brain at 1 am: let’s try to understand non Euclidean geometry when I already have a hard time with algebra
@theredneckdrummerco.67484 жыл бұрын
its one forty nine right now and I face the same dilemma
@goddamnit4 жыл бұрын
Same :'(
@sonetagu13374 жыл бұрын
I dont even understand algebra wtf
@zinedsdrawkcab8404 жыл бұрын
same, but its 4:04 am for me
@erenjaeger12664 жыл бұрын
STOP IT PLEASE THIS IS SO FREAKING RELATABLE ITS 12:36 FREAKING AM I CSNT SLEEP!!!
@lukehanson75542 ай бұрын
5:45 lmaooooo the sudden jump to SM64 speedrunning has me reeling
@koda_pop4 жыл бұрын
The parallel universe bit caught me off guard lmao
@chakra66664 жыл бұрын
surely the most ambitious crossover ever
@rehehehehehe45254 жыл бұрын
those goddamn parallel universes just tell me where is Mario don't tell me he's 4 PU to the left, 29 PU down and performing a satanic ritual in the out of bounds area
@HokoraYinphine4 жыл бұрын
PannenParade
@mynion241004 жыл бұрын
an a press is an a press...
@Lance04 жыл бұрын
@@mynion24100 Were you gonna say, "it can't be only half? Well, Mynion"24" 100, hear me out. An A press has actually 3 parts to an A press, when A is pressed, when A is held, and when A is released. Now together, this forms 1 complete A press. Now usually, it's the pressing that's useful, because that's the only part that makes Mario jump. However sometimes, it's sufficient to just use the holding part, which allows Mario to do little kicks, to swim in water, to fall slowly while twirling, and to fall slowly with the wing cap. And as for the release, well there's currently no cases where that's useful or important, so don't worry about that. Now, if we map out the required A presses for Wing Mario Over the Rainbow, it would look like this. We merely need to hold A to reach the cannon platform, we need to press A to launch from the 1st cannon, and we need to press A again to launch from the 2nd platform. So how many A presses is that total? Well, it appears to be 3, and if we were doing this star in isolation, then yeah, it would be 3. But, in a full game A button challenge run, there are other A presses that occur earlier in the run, such as this A press needed to get into the course. So, if we take that A press into consideration as well, then how many A presses would it take? The naive answer would be 4, one to enter the course, and the 3 within the course that we established earlier. However, we can do better. We can actually do it in 3 by simply holding out the 1st A press to be used in the half A press because the half A press only requires A to be held, not actually pressed. So in this fashion, Wing Mario Over the Rainbow only adds on an additional 2 A presses, since the 1st A press just actually leeches off of a previous A press, so to capture this phenomenon, we call it 2.5 A presses. On a single-star basis, you round that up to 3, but in a full game run, you'd round it down to 2. So, in conclusion, since that 1st A press counts in some contexts, but adds no additional A presses in other contexts, we refer to it as a half A press. Edit: it's pannen time(all the words are now ripped out from pannen's video)
@CasualCosta4 жыл бұрын
Instructions unclear, become a flat-earther.
@rehehehehehe45254 жыл бұрын
I'm ok I don't want to be a flat earther
@mysterioushoodedguy23324 жыл бұрын
Lol the thing where the triangle on a sphere has 3 right angles has actually been used to disprove flat earthers since if you take a plane and fly it a certain distance, turn right 90 degrees, fly same distance, turn 90, fly same distance, you'll end up in same place where you started because of the earth's curvature
@Fulgur144 жыл бұрын
@@mysterioushoodedguy2332 Well, technically... but on Earth, that would be a trip of 30,000 km, so you could hardly do it without landing in-between. And that generally can't be done without turning, and how do you prove you continue in the same direction, etc. etc. Though it leads to an interesting question: what would be the easiest triple-90-degree triangle on Earth to travel? Or, for the matter, triple-72-degree, a part of an icosahedron?
@jfp07634 жыл бұрын
Instructions unclear, Teleported to another plane in existence and start being trained by Sherk to fight against an Otaku army
@mgsgamer83404 жыл бұрын
Oh I became a non-Euclidean-earther. *i can hear melanie Martinez when a bird chirps now*
@karynjohnson3 жыл бұрын
Hey CodeParade! That knitting of the hyperbolic plane was really amazing. The first one with the squares is very unique and I haven’t been able to find it anywhere on the internet. So I’ve been making my own with a large piece of fabric cutting it into squares and drawing the black outline then stitching them together. I’m 12. Your video has really inspired me to look into hyperbolic geometry more. Thanks CodeParade. Hope this comment doesn’t get buried.
@CodeParade3 жыл бұрын
That's awesome! Yeah, I couldn't find anything like it online either. The closest thing I found is this skirt, it uses pentagons instead of squares, but it's the same idea: blog.andreahawksley.com/hyperbolic-airplane-skirt/
@Queer_Nerd_For_Human_Justice2 жыл бұрын
@@CodeParade Oh hey, she's friends with vi hart! Dang, small world. more people should do stuff like this ^^
@The_Moth1 Жыл бұрын
@@Queer_Nerd_For_Human_Justiceis she the flexagon person?
@cater_piler Жыл бұрын
yes @@The_Moth1
@wendysanchez302411 ай бұрын
I've been searching to find something like the one with the squares. I'm teaching a course on non-Euclidean geometries, and I'd love to have one of those. Did you say your wife made it? Would she be willing to sell one ?
@Fulgur144 жыл бұрын
One thing that might need mentioning is that non-Euclidean geometries, unlike the Euclidean one, possess preferred lengths. (The video only mentions "assigning unit curvature" without actually explaining what it means.) Simply said, in Euclidean plane, we may set our length unit to be anything. Pythagorean theorem, circumference of circle, everything will work the same no matter what units we measure in. In spherical geometry, we have a natural unit that is equal to the radius of the sphere. Even if the space is not actually embedded in anything and doesn't have an actual "radius", we still know what it should be because that is the only length unit in which r can be measured so the formula "2 pi sin(r)" works. This has colossal consequences! It means, for example, that the "similar shapes" in Euclidean geometry, where you can increase a size of, say, a triangle or a square and still keep all its angles intact. No such luck here: a triangle with sides twice as long as an original will have completely different angles. This would make things like making plans, schemes or maps harder. In hyperbolic geometry, a natural length unit is not that easy to see as in spherical geometry, but it nevertheless exists. There's only one possible length unit which makes the 2 pi sinh(r) formula work! Finally, note that spherical geometry has some additional problems the other two geometries don't have. Main one is that if you draw two straight lines on a sphere, not only will they always intersect, but they will always intersect in two antipodal points. This spoils the geometry somewhat (straight lines should only intersect in one point). The solution is so-called "elliptic" geometry, in which every pair of antipodal points on the sphere is considered just a single point. That one has its weird moments as well (for example, if you wander in a straight line, you will eventually arrive back to your starting point, but as a mirror opposite).
@Stetofire4 жыл бұрын
Marek Čtrnáct You are indeed... A Super Nerd! *Guitar Riff*
@csicee4 жыл бұрын
tl;dr?
@Fulgur144 жыл бұрын
@@csicee TLDR: In non-Euclidean geometries, you are forced to measure lengths in a very specific units in order to get simplest possible formulas.
@Fulgur144 жыл бұрын
@@Stetofire Well, I have been involved with HyperRogue for quite some time -- for example, you can see some of my tessellation results here: zenorogue.github.io/tes-catalog/
@AlxM964 жыл бұрын
@@Fulgur14 phenomenal insight and work, thanks! keep it up!
@cynicap85844 жыл бұрын
"Courtesy of mrs. Parade" Awww, what a sweet, weird quality time
@alpkyu5201 Жыл бұрын
This game caught my attention because I was frantically looking for a non-euclidian game that I can play in VR. It really was one of a kind experience. The farm was most mind boggling and the best part in my opinion (which, now I see from the thumbnails for your other videos, was actually spherical space). Such concepts like non-euclidean spaces are hard to grasp because they are inherently abstract. Making a game around them is really a good way for people to "experience" it and make them less abstract. It was especially a treat in VR. Thanks for making this game.
@onion2.4 жыл бұрын
“Think about light bending around the curved space of a black hole.” Ah yes
@beanmcknee16104 жыл бұрын
It’s like a coin going down one of those donation things that make the coin spin around into the hole Except the coin is light and the hole is a black hole
@tristenarctician69104 жыл бұрын
@@beanmcknee1610 why would the color of the hole change? .
@beanmcknee16104 жыл бұрын
@@tristenarctician6910 no sorry what I meant was is that the coin represents light itself, not light in color I hope that helps
@michelekonakciu70524 жыл бұрын
@@tristenarctician6910 particle get excited and emit radiation that we perceive as a colour change
@Tharmin.1243 жыл бұрын
Just think of a magnet and a ball bearing, just that they can't touch
@BambinaSaldana4 жыл бұрын
"But first we have to talk about parallel universe-I mean parallel lines." *We were on the verge of greatness,we were this close.*
@GlyphicEnigma4 жыл бұрын
We just needed enough speed to get to the next PU!!!
@YashBeanz3 жыл бұрын
@@GlyphicEnigma just blj for 11 hours and you should have enough!
@TheaPeanut_69old3 жыл бұрын
the music tho its from another video about weird stuff a bit similar to this
@YashBeanz3 жыл бұрын
@@TheaPeanut_69old it's the file select music from Mario 64
@Qsie2 жыл бұрын
Man, makes me miss watching Pannen
@josephcsible3 жыл бұрын
If you want to use HyperRogue to explore the hyperbolic tiling used in this video (5 squares meeting at each vertex, first seen at 4:59), here's the sequence of menu options to do so: main menu -> special modes -> experiment with geometry -> basic tiling -> {5,4} (four pentagons) -> go back -> variations -> pure -> dual of current.
@rodeo_stomper4 жыл бұрын
Honestly, I have no clue what any of this means, but this dude's voice is really relaxing to me.
@astergh0st4 жыл бұрын
Jøhnny Rëtznøvishchä Yeah. Too bad my inability to understand what he’s saying gives me a headache.
@Mysideep4 жыл бұрын
I want to understand...
@enderstriker07184 жыл бұрын
“We’re only looking down on it because we are higher dimensional beings living in a 3D universe.”
@daylenhigman86804 жыл бұрын
*The 4th dimensional being watching me take a dump
@satyampandey22224 жыл бұрын
@UltimateGeek at the same time
@JotaC4 жыл бұрын
We actually live in a 4D world as 3D beings That's why we can't see the full extent of time
@nykal15104 жыл бұрын
@@JotaC Time is not a SPATIAL dimension, stating that we live in a four-dimensional world is irrelevant, we live in three-dimensional space
@ryanwolf18694 жыл бұрын
Nykal absolute brainlet
@kirbee11133 жыл бұрын
Bro the "First I'll have to talk about parallel universes" had me DEAD LMAO. Shoutouts to pannenkoek2012!
@miljanvideo4 жыл бұрын
2:23 Talking about spherical geometry me an intellectual: *beach balls*
@liamrapanan94346 ай бұрын
so true
@juancgonzalez65374 жыл бұрын
"But first we have to talk about parallel universes." I'm having a panic attack.
@rhaeven4 жыл бұрын
*quick creepy distorted version of the Mario 64 File Select music starts*
@ej-jz5rc3 жыл бұрын
pannen attack*
@spikey2883 жыл бұрын
No you aren't
@thatoneguy95823 жыл бұрын
@@spikey288 youre not their dad
@spikey2883 жыл бұрын
@@thatoneguy9582 not you again
@fobo00533 жыл бұрын
you know.. i love you just by the fact that you're not "bad-repeating" something that you heard from a mathematician like the other youtubers and you are precise (it's a mathematician talking)
@simonsixt24184 жыл бұрын
8:07 Imagine creating a black hole by throwing a baseball really hard in spherical geometry
@marcinlechicki40194 жыл бұрын
Maby our universe is spherical, and that "realy hard" to get speed enough is force to give that baseball light speed.
@Anonymous-zd1ow4 жыл бұрын
@@marcinlechicki4019 If the ball was thrown that hard it would be ripped to shreds.
@marcinlechicki40194 жыл бұрын
@@Anonymous-zd1ow You are talking from experience Hulk?
@ynntari27754 жыл бұрын
People in general have too many misconceptions about big strength. Like lifting cars and sofas, which actually just folds the whole thing and rips off the small part you're holding. And "lifting a building" would be just passing your hands through the floor and making holes
@reizinhodojogo395611 ай бұрын
@@marcinlechicki4019he changed his user to anonymous, hulk is retired now sadly
@kurlyfryz4 жыл бұрын
that feeling when non-euclidean geometry makes more sense than euclidean geometry
@Shrek_es_mi_pastor4 жыл бұрын
Completamente difiero.
@maxnewdf4 жыл бұрын
@@Shrek_es_mi_pastor why your pastor is shrek?
@TaiFerret4 жыл бұрын
Euclidean geometry is just what happens when you zoom in on a surface infinitely.
@realnub2354 жыл бұрын
oof lol
@luizg80344 жыл бұрын
@@TaiFerret sounds strange to me, but i dont know enough topology to disprove it
@joost56092 жыл бұрын
The Mario joke was hilarious and probably the only thing I truly understood. Very interesting and challenging subject!
@MozartSrs4 жыл бұрын
No one: My blanket when I’m trying to find the short end at 3am: 3:00
@MoltenSamurai4 жыл бұрын
Underrated
@QuartzOfficial4 жыл бұрын
its even 3:00
@neilpetrarca73954 жыл бұрын
Lol
@ashtonsmith17304 жыл бұрын
what blanket did you buy?
@Querens3 жыл бұрын
why "no one:" is needed everywhere. How is it helping the joke
@matsol21584 жыл бұрын
7:30 This guy :"Now we've walked on a pentagon with five right angles" My math teacher :"Wait... that's illegal..."
@lobsterfork3 жыл бұрын
I saw your reddit post for this 1 or 2 years ago (I don't remember exactly when). Really cool that you are pushing this into mainstream. I bet what you are working on will have really cool applications in the near and distant future! BTW HOLY SHIT THAT KNITTING IS IMPRESSIVE!
@Addsomehappy4 жыл бұрын
"Stay Hyperbolic!" oh so you wish me to tear myself apart every time i walk anywhere gee thanks
@Anonymous-zd1ow4 жыл бұрын
That only happens when you apply a significant amount of force to yourself.
@diophantine15984 жыл бұрын
The Incredible Hulk Correction, velocity. Depending on the hyperbolic space (depending on r) even walking or breathing could tear you apart.
@olli3b3ar274 жыл бұрын
this is what happens when you try and and be parallel, but you'll learn.
@justinaccurate3474 жыл бұрын
I think OP was joking by being hyperbolic in his reaction?
@Anonymous-zd1ow3 жыл бұрын
@@diophantine1598 Oh thank you for correcting me! Oh Jesus this is 7 months late XD.
@MeteoritePlayz4 жыл бұрын
CodeParade: oh god, PLEASE STOP USING THIS! Pringles: no u Edit: how do I have about 200 more likes a month later ty
@pwnmeisterage4 жыл бұрын
Anticlastic diagrams are confusing because they force the viewer to visualize a non-intuitive concept in an even more non-intuitive way. They just overcomplicate stuff too much. Everyone immediately understands Pringles. Pringles are tasty.
@EliteOcto4 жыл бұрын
PRINGLES IN 4D
@Kromiball4 жыл бұрын
@@EliteOcto lol
@unblorbosyourshows96354 жыл бұрын
@@EliteOcto N O N E U C L I D E A N P R I N G L E S
@pantheraviva4 жыл бұрын
ElPseudocrítico E A T
@ryanr273 жыл бұрын
Eventually, Mario will build so much negative speed, which he had built up for over 12 hours to leave this projection of 5D space
@anonymousfry Жыл бұрын
Wtf
@theosouris70634 жыл бұрын
5:47 I don’t know what I expected from this vid, but it certainly wasn’t a Pannenkoek2012 reference
@Chrischi3TutorialLPs4 жыл бұрын
"But first we have to talk about parallel universes" *SM64 music plays* Ah, i see you are a man of culture aswell.
@joseg.matamoros28474 жыл бұрын
Bismuth be like
@haimric86034 жыл бұрын
Explain
@Chrischi3TutorialLPs4 жыл бұрын
@@haimric8603 Its a meme about Super Mario 64. Basically due to a programming oversight theres parallel universes in the game which speedrunners use in Tool-Assisted Speedruns (Basically speedruns where you have bots make perfect inputs rather than playing yourself) to get around. And well, theres this KZbinr called Pannenkoek2012 who made a video explaining some things about speedruns, and well, that line "But first we need to talk about parallel universes" became a thing.
@knockrotter93724 жыл бұрын
@@Chrischi3TutorialLPs YOU CAN'T JUST PRESS THE A BUTTON A HALF OF A TIME IT'S STILL AN A PRESS
@bigagabriel3 жыл бұрын
I have been reading the books of the fantasy novel The Wheel of Time. There is king of a parallel plane where one of the characters can move throw space and he describes as if things that looked really far came closer really fast. And that as he turned his head, the world would turn way faster. It might be the hyperbolic rendering you show and it might be awesome to connect that with the books fans!
@centokiVA4 жыл бұрын
this genuinely has taught me more about non-euclidean geometry than my classes have
@pattyryopotybuttongamer30632 жыл бұрын
and after that you have to plug the red wire into the socket to make sure the engine boots at launch. Wrap the green wire around it's coil that sits directly beside the A button. After you put the back shell on, place the battery in the slot. Screw the Vr26 Jeeper back up and press the reset button. If everything worked according to plan you're device should show a thumbs up sprite. Plug the HDMI port into a monitor and wait three seconds. If it boots up on TV your in the good side. If it doesn't boot in less then 5 seconds quickly unplug. This can severely damage your TV and possibly start a fire
@diamante88642 жыл бұрын
this genuinely has taught me more about *euclidean* geometry than my classes have
@Crazyclay78YT Жыл бұрын
bruh why tf would you be taking non euclidean geometry in school
@ThomasTheThermonuclearBomb Жыл бұрын
@@pattyryopotybuttongamer3063bro what are you talking about
@leebee420694 жыл бұрын
Me: I'm going to crochet a hat! The hat: 3:20 Me: why does this always happen?
@EternalPhoenix3 жыл бұрын
This has become my favorite topic to ramble about, ty
@Tubeytime4 жыл бұрын
Holonomy is something I've known about for years due to playing around in various programs/simulations/games but I never knew there was a word for it until now!
@pluspiping4 жыл бұрын
Same! I build 3D models for my job and I guess it's why you need "reset view" buttons when you're zooming around the model in "3D space". You get real lost real fast. Now I know there's a word for it! Cool!
@eugenegarcia61552 жыл бұрын
Tell me about it
@cheesepop71752 жыл бұрын
holonomy happens in gmod
@Crazyclay78YT Жыл бұрын
@@cheesepop7175 bro it happens fucking everywhere
@Crazyclay78YT Жыл бұрын
yeah 3d modeling really showed me that. if you just click and drag in circles, moving the camera around the object, it rotates. at first i was like "wtf why does it do that" and i thought it was a glitch or something in the software. now that i know that it has a word, i will definitely try to squeeze that into my vernacular
@grandstrategos11444 жыл бұрын
Clarification for everyone in the comments. When he talks about lines in spherical geometry, he is mentioning the spherical geometry definition of a line. In spherical geometry, the definition of a line is one of the great circles of the sphere. So you can’t use different latitudes or longitudes.
@PotatoPatatoVonSpudsworth4 жыл бұрын
This clarifies things quite a but for me. Thank you!
@nancyburgos12313 жыл бұрын
I was wondering exactly that jaja! Thank you
@nicbajito2 жыл бұрын
Geodesics waving to the world 🤗 Hi, geodesic !!
@wa5657 Жыл бұрын
oh thank you, i was just hung up on that :v
@mycelium_moss3 жыл бұрын
scientists: a group of very serious people in glasses and lab coats who are investigating very complex serious things also scientists: S P A G G H E T T I F I C A T I O N
@Epicvibes9994 жыл бұрын
“It only looks 3D because we are higher dimensional beings, looking down on the flatlanders.” Hip Hop Artists: *”haha , fisheye go wobble wobble”*
@hitzcritz4 жыл бұрын
5:44 "But first, we have to talk about parallel ̶u̶n̶i̶v̶e̶r̶s̶e̶s̶ lines!" *_my disappointment is immeasurable and my day is ruined_*
@1sub2videos604 жыл бұрын
mario
@TheaPeanut_69old3 жыл бұрын
the lines are still universes
@L1M.L4M2 жыл бұрын
@@TheaPeanut_69old one dimensional, yes
@centerofoperations9251 Жыл бұрын
This is the best explanation of the topic I've ever watched
@aethershard4634 жыл бұрын
CodeParade: Wanna guess what the hyperbolic opposite is? Me: cosine(r)? I mean that’s the “opposite” of sine. CodeParade: No you fool it’s hyPErBoLiC sine!!!
@XDinky4 жыл бұрын
Isn't the opposite of sine just minus sine? I guess you need to define "opposite"
@zacozacoify4 жыл бұрын
I would say the opposite of sin is either -sin, or inverse sin (arcsin). Cos is more like the complement to sin, it’s what you get when you shift sin by -90 degrees.
@anonymousperson62284 жыл бұрын
Or it could be cosecant. It’s the reciprocal of sine.
@Fulgur144 жыл бұрын
@@zacozacoify sinh is, in a way, sin rotated 90 degrees: sinh(x) = -i sin (ix)
@Fulgur144 жыл бұрын
@Multorum Unum It can be if sin(ix) is pure imaginary.
@AntechamberVAL4 жыл бұрын
An A press is just an A press. You can’t just call it a half.
@cmdrkradenguard68084 жыл бұрын
Bro, how many QPUs are you on?
@dougneon95504 жыл бұрын
@@cmdrkradenguard6808 like maybe 5 or 6 my dude
@EpicBlackflame074 жыл бұрын
This a reference to that half A press Mario run?
@quincyyeager62494 жыл бұрын
you half Alive or half dead?
@wynfarthing4 жыл бұрын
Ok TJ 'Henry' Yoshi
@mustafamalik42112 жыл бұрын
This is so fascianting. I can't believe I never thought about the geometrical visualizations of the hyperbolic and spherical equations I learned in Vector Calculus back in University. Thank you for this amazing video!
@SoftyWalterGames4 жыл бұрын
As soon as you said "there wouldn't even be a horizon" my mind exploded trying to visualise earth without horizons
@elietheprof56784 жыл бұрын
If you live in America, the sky is Australia.
@Marci1244 жыл бұрын
I didn't think there were too many interesting tidbits in this topic that I wasn't aware of, but this video proved me wrong!
@sreyam74 жыл бұрын
Same! I realised I have very little intuition about these things beyond the standard "hyperbolic spaces as saddle-shaped with all lines eventually diverging" basic picture.
@greggreen5510 Жыл бұрын
@CodeParade I recently have been learning about the hyperbolic trigonometric functions. I am having a hard time finding information on how a hyperbolic triangle relates to the hyperbolic functions. Where did you find out so much information about spherical and hyperbolic geometry? This video is astoundingly amazing!
@revessombres78374 жыл бұрын
I remember watching the "5 sided square" video from numberphile a few months ago. And now I got an even better explanation, thank you.
@crackedemerald49304 жыл бұрын
Hyperbolic space: when you have more space every space you space
@Kaiveran4 жыл бұрын
Xzibit would like to know your location
@thewarden4174 Жыл бұрын
I really like how you explain all this, it makes it much easier to understand than just the graphs
@edit38914 жыл бұрын
Really cool to see him mention HyperRogue, been playing that for quite some time now, it really shows off how crazy long the circumference of something can get while still having a reasonable radius. It's interesting to think of how a hyperbolic space and plain has more space while still letting you get to areas in a straight line just as fast, but oh boy you're screwed if you didn't go in an exact straight line to where you are going.
@Brindlebrother4 жыл бұрын
Mrs. Parade: "I'm about to crochet in a whole other dimension"
@czaplorandomclips50033 жыл бұрын
POV: Her grandchildren are Watching This.
@jellyfish03113 жыл бұрын
This is clearer than any other way visualize it
@czaplorandomclips50033 жыл бұрын
Ok jelly 😉
@Darthvanger2 жыл бұрын
Awesome! The best explanation of the curved spaces I've seen actually. And at the same time it's gonna be a game, to really experience it!
@tentimestay91814 жыл бұрын
"But first, we have to talk about parallel univers-- I mean parallel lines" so unexpected, genuinely cackled
@samuelc704 жыл бұрын
5:38 tell me that isnt an obscure reference to a video explaining a TAS for sm64
@jamesrosco48162 жыл бұрын
I watched this a year ago and now finally have started playing Hyperbolica. It is quite the experience. Now I am back w a tching this again trying to wrap my head around it. Big thanks for making the game and these videos.
@slowdragon30234 жыл бұрын
I've learned a lot of math in my college years but have never understood why hyperbolic sin/cos/tan exist and now I finally understand. To think that one devlog could explain to me what six math professors could never make clear. Amazing video!!!
@Crazyclay78YT Жыл бұрын
to be honest i thought he made that shit up at first
@JohnsontheFly4 жыл бұрын
That awkward moment when hitting a baseball in spherical space creates a naked singularity and by extension accidentally creates 0-dimentional space
@sebastianrojasgutierrez.20634 жыл бұрын
So relatable
@renormalization Жыл бұрын
This is a great video to motivate the anti-de Sitter spacetime (hyperbolic spacetime) for holography. Nicely done!
@CReed-kf7eo4 жыл бұрын
Fun Fact: our brain uses crochet like hyperbolic geometry to own more surface area. If our brain was a smooth sphere it would be the size of a beach ball! That's why there are deep grooves,
@sparhawkmulder15152 жыл бұрын
That's not hyperbolic geometry, that's just increasing the surface area-to-volume ratio in 3d space through folding. Bonus fact: your lungs do the same thing.
@alex599632 жыл бұрын
@@sparhawkmulder1515 is that why they call them organs tissue in biology?
@ubelmensch2 жыл бұрын
Well there are some exceptions to that rule, and their brains aren't beach ball sized exactly
@Freelix20002 жыл бұрын
@@sparhawkmulder1515 Yeah, it's not really related to hyperbolic geometry, but in this person's defense, you could make the link by pointing out that this biological strategy would be even more effective if space actually were hyperbolic. We'd have some pretty efficient organs. On a less related note, it is interesting how this principle applies to so many other parts of biology, not just the brain and lungs. Your intestines. Your kidneys. Circulatory system. As a kid I used to wonder why the intestines were so long, thinking it isn't adding any more space. If anything, having them long and coiled up decreases the amount of available volume. But it isn't about volume, it's about surface area for absorbing nutrients. So this biological strategy applies to nearly everything except cases like the bladder, where the only purpose is basically storage.
@longforchannelnamenumbers2 жыл бұрын
Wow
@albingrahn55764 жыл бұрын
can’t wait to see the 0.5 A-press run for hyperbolica!
@Lance04 жыл бұрын
well, we need 4 things: HSPW, forcing scuttlebugs to have a jamboree, pannen, and TJ """"Henry"""" Yoshi.
@ej-jz5rc3 жыл бұрын
@@Lance0 don't forget groundpounding the misalignment
@JotaC4 жыл бұрын
"I hope this made you understand hyperbolic spaces better" Me, with questions I didn't even know I would ask someday: Sure, thanks.
@Alexoyt44 жыл бұрын
Dude really puts time stamps for the chapters in the description. Now THAT is appreciated
@dimitrioskaragiannis11695 ай бұрын
😢Great video (presentation and graphics) 🎉 Thank you for your amazing work sir 😊❤
@Lugmillord4 жыл бұрын
When the Mario 64 music kicks in, I knew what was coming and I wasn't disappointed.
@LionsInBoots4 жыл бұрын
5:44 „I was already 5 PUs ahead of you...“
@ej-jz5rc3 жыл бұрын
4* because then he'd be QPU misaligned
@aaAa-vq1bd Жыл бұрын
Holy shit! You start off with simplicial homology and then tie that into euclidean and non-Euclidean spaces in general.. I’ve been reading “geometry and topology” by Reid and Szendroi alongside some basic stuff on homology with simplicial complexes (like your pyramids and dodecahedrons which you projected to a sphere).
@srivatsajoshi40284 жыл бұрын
Will this game be available in VR? It would be cool to spend like 5 or 6 hours in the game and get used to hyperbolic space(is that possible? idk) and then experience our normal euclidian space from a different perspective.
@deffinatalee76994 жыл бұрын
Oof, I would probably throw up if I played this in VR.
@mjde95324 жыл бұрын
I think there was a way to play hyperrogue in vr, and what I have heard is that the images seem rather flat, since the way distance works just doesn't make sense for our brain. Same goes for spherical fpp
@Fulgur144 жыл бұрын
@@mjde9532 In Euclidean geometry, when you focus your eyes onto an object, there is a triangle (let's say isosceles) whose base is the distance between your eyes and whose sides are lines from your eyes to the object. The base angle of this triangle can be anything -- for objects at infinity (or at least very far), it's basically 90 degrees. In hyperbolic geometry, if the space is strongly curved, then even objects at infinity will have base angle visibly lower than 90 degrees, and everything would seem to be close by. Also, everything WOULD be close by -- distant objects would grow smaller and dimmer much faster than in Euclidean space. We, however, don't have a good intuition of how a truly large hyperbolic object would look. (I.e. a mountain.) But for example for large spheres, there is an absolute limit on how big chunk of a sphere can be seen at once. I think that you can never see more than area of pi of any sphere -- regardless of its size, even if it's an infinitely large sphere, i.e. a horocycle, you will still never see more than pi of it. The perspective would be extreme; only the nearest part of a big object would be visible in any details. Second interesting thing is the parallax -- when you, for example, drive in our world and there is a mountain in the distance, on the side, that mountain will move almost imperceptibly; not so in hyperbolic space where distant "layers" move at basically the same rate as near layers. If you walked under hyperbolic sky with stars, the stars would visibly shift above you. Then there's gravity. It's hard to define what would "cause" it, but we can use a simple model based on lines of force. If we assume that gravity has the same strength as Earth gravity on a particular hyperbolic plane, then going upwards (or downwards) to height h would weaken the gravity in ratio 1/cosh(h)^2, which is a lot. At the height of a single absolute unit, the gravity would be less than half of its original rate.
@mjde95324 жыл бұрын
@@deffinatalee7699 yeah, I have heard of the maximum area thing and the faster gravity decay on the Hyperrogue discord. The one with the seemingly flat was based on a person who tried it and whose brain couldn't make sense of the distance and the paralax.
@jupi68514 жыл бұрын
it'll give u severe motion sickness
@jonipaliares54754 жыл бұрын
Lol when the SM64 song started and you said "But first..." I lost it all.
@andredominguez31993 жыл бұрын
I don't know why KZbin recommended me this, but I love it.
@crxstalline_4 жыл бұрын
TO ANSWER THAT, WE NEED TO TALK ABOUT *PARALLEL UNIVERSES*
@hytalefanboi74714 жыл бұрын
"do u like maths or programming?" code parade: "yes"
@randairp4 жыл бұрын
Fun fact: by the Curry-Howard Correspondence, maths and programming are literally identical (two perspectives of the same thing).
@jedizombiekiller90654 жыл бұрын
@@randairp Fun Fact: semicolon
@Christophe_L2 жыл бұрын
I've been following for ages and finally I can play it. My brain liked your game. My stomach did not. 10/10.
@stefanthedane89684 жыл бұрын
3D beings (like us) looking at 2D beings: "Pathetic" Also 4D beings looking at us: P4TH3TIC!
@alpha38364 жыл бұрын
0:49 *_We're only looking at it in 3D, because we are higher dimentional beings looking down at the flat-earthers_*
@felixplays422910 ай бұрын
I see what you did.
@lifeofalonelywhale Жыл бұрын
The Mario 64 music at the mention of parallel universes... 50 bucks you've seen the Mario 64 conspiracy iceberg XD Spot on, spot on.
@louisauffret4 жыл бұрын
CodeParade's non-Euclidean stuff is SmarterEveryDay's laminar flow
@dermodellbahner26684 жыл бұрын
true😂
@zerid04 жыл бұрын
I just noticed yesterday: Kale has the shape of an hyperbolic space. That blew my mind. I wonder what kind of advantage this provides to that plant. Maybe more surface area?
@ynntari27754 жыл бұрын
wow, that format always threw me off, so anoying to wash. I can't see how that would be advantageous for the plant. Logic implies that ii makes so a lot of the leaf's area doesn't recieve sun light, because other parts of the leaf are on the way. Leaves tend to be flat so the entire area can recieve sun light so it gains more than uses.
@bigmeaty90004 жыл бұрын
@@ynntari2775 plants also breathe through their leaves, which surface area helps with
@bee_irl4 жыл бұрын
it's actually the other way around, hyperbolic space has the shape of a kale
@sebastianmonten2 жыл бұрын
Dude, super interesting video! Glad that I found this! I have become more and more interested in computer science, glad that I found your channel
@TheVnom4 жыл бұрын
The area of a triangle in eucledean geometry has an equivalent: to take the limit you need to bring back measurement units. Doing so, you end up with Heron's formula.
@Fulgur144 жыл бұрын
I remember that I was puzzled when I rationalized my way to the tidal force ripping apart hyperbolic objects, because it seemed to violate one very basic physical principle: Galilean relativity which says that you cannot distinguish between rest and motion. But in hyperbolic space, you clearly can, because you feel the tidal force in motion and not at rest! What gives? Took me a while to understand it, but eventually I did: hyperbolic space doesn't necessarily mean hyperbolic spacetime. If you had fully hyperbolic 4D spacetime, the tidal force would always be the same, whether you'd be at rest or not. The space would be, in effect, under constant and exponential expansion. The problem is that it would be a pretty bleak world; far from the infinitely large structures of HyperRogue, everything too large would burst! In order to keep the possibility of infinite structures -- or even very large ones -- we can put the spacetime as hybrid geometry H3xR. But this comes with a price: this geometry is anisotropic (its directions are not all equivalent), and since rest and motion are basically different directions in spacetime, it now makes sense that we are able to physically distinguish between rest and motion! TLDR: The tidal force breaks Galilean relativity, but it's a necessary price to pay in order to have a world that can actually show hyperbolic geometry in a nice way. (Or spherical one: a spherical world without tidal force would quickly collapse and disappear.)
@infinummjb4 жыл бұрын
"The space would be, in effect, under constant and exponential expansion" you mean like the space time we all supposedly live in with the big bang and all?
@Fulgur144 жыл бұрын
@@infinummjb Well, not really, since the expansion of our universe is not exponential (or, at least, not yet -- some models end this way).
@coolguy284_24 жыл бұрын
This is actually really interesting. I also was puzzling about the ability to distinguish between rest and motion in curved spaces, I never realized that the dimension of time had to be part of the curved space too, making a 4d spherical / hyperbolic space! Although now I'm confused about how you would parametrize motion and such, like an object such as a photon that travels diagonally in 4d hyperbolic spacetime should eventually stop moving forward in time, as it would eventually be travelling parallel to a hyperplane of time (if that makes any sense)? Or maybe there is a continual "reorienting" of the photon so it always travels at a 45 degree diagonal relative to the hyperplane of the present?
@Fulgur144 жыл бұрын
@@coolguy284_2 It's complicated, that's for sure. In Minkowski 4D space, the interval between two events is given as t^2 - (x^2 + y^2 + z^2), but full hyperbolic spacetime doesn't have easy coordinates like that. How to define light cones for STR in a way that is homogeneous?
@tiagotiagot4 жыл бұрын
That sounds like the effect Dark Energy has in the real Universe...
@cdawgswizzle72293 жыл бұрын
this is a perfect way to explain some of the complex concepts in Geometry Relativity and the 4th Dimension. Thanks a lot!
@laszlopados33504 жыл бұрын
Imagine non-euclidean geometry in a 'Backrooms' type game
@ImXyper4 жыл бұрын
*N O*
@laszlopados33504 жыл бұрын
@@ImXyper Understandable. Have a nice day.
@nathanjohnpalaogaming48724 жыл бұрын
@@laszlopados3350 *HE F**KIN DOESN'T HAVE AN NICE DAY WHAT DO YOU MEEMEMANN!?*
@laszlopados33504 жыл бұрын
W H A T ?
@nathanjohnpalaogaming48724 жыл бұрын
@@laszlopados3350 *I DONT EVEN KNOW IDK*
@MateiMircea1004 жыл бұрын
Can't believe I have found a youtube channel that doesn't have intros, outros, speeches about how thankfull the content creator is for getting x subscribers, speeches about why there was a month with no new video and let's not forget the good old 'like, share, comment, subscribe, turn on notifications' (like we don't know how to use youtube)... congrats man! Ps: forgot to mention the videos that take a little over 10 minutes because apparently that is the sweet spot for the algorithm. It botheres me that many times when watching those it feels like I am looking at a 5 minutes video streched out to be a 10 minutes one.
@DarkThomy4 жыл бұрын
The thing is, you ll probably get more subscribers by telling people to subscribe, than not bothering and getting a subscribe because you know it's kinda dumb
@Acoolaccountmans3 жыл бұрын
8:29 wow amazing ripping sound
@JadedJaden4 жыл бұрын
Him: says hyperbolica and hyperbolic Me, a total weeb who knows nothing about physics: oh cool it's DBZ stuff
@boooster1014 жыл бұрын
Goku enters an actual hyperbolic time chamber, dies from sanity loss. Tried hitting it harder but the space made him actually hit it weaker
@SkippertheBart4 жыл бұрын
*adjusts glasses* You mean the Room of Spirit and Time.
@JadedJaden4 жыл бұрын
@@SkippertheBart No, I mean the hypersonic lion tamer
@alansmithee4194 жыл бұрын
@@JadedJaden isn't it the hyperglycaemic iron chamber?
@JadedJaden4 жыл бұрын
@@alansmithee419 Goku?
@xdmich60184 жыл бұрын
I like fractals ,programming, math, biologi, hyperogue, hiperbolica , Non-Euclidean Geometry and this chanel:)