Non-Euclidean Geometry Explained - Hyperbolica Devlog #1 

Too real

holy shit how did you do that lol

Sorry can someone explain this to me? I didn't take calculus and now I feel left out.

@@axion986 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

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

I’ll be honest, that killed me.

specially love the Mario 64 extra reference with the music

To answer that, we need to talk about parallel universes

I think it's a reference to the youtube channel TerminalMontage

@@OneShot_cest_mieux *Pannenkoek2012 The meme started there

Quite literally no🤣

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.

@@shouvik8267 i have a 0d brain

@@shouvik8267 transparent cube: bro where i am i don't exist?

@@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 🏝️

There's not enough room for the two of us!

@@lullabypoppera3914 then we're just gonna have to share *cue just the two of us

@@lullabypoppera3914 Correction: Three! That's right, I sort of understood it! *proceeds to occupy the entire volume of the multiverse*

@@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)

That's what math does to you. You gain insight, but you lose sanity.

I always knew math was black magic

@@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.

So it's Bloodborne. Oh god

+1 intelligence -10 HP

Lmao 😂

no :)

"Look at me eviscerating you, and you'll see some hyperbolic intestines" "Are you sure" "I was joking, here it is"

Search for Crocheting adventures in hyperbolic world

Daina Taimina did a nice Ted talk on hyperbolic crochet: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-w1TBZhd-sN0.html

It's simple really

@@lullabypoppera3914 how old are you?

Now it makes me wonder how the final season of the Magnus Archives looked

@@efegokselkisioglu8218 counter-argument, how old are you if you can’t get a joke?

I think euclidean geometry is more horrific than hyperbolic. It confines your mind too much

@SArpnt nice

@SArpnt but who asked

@SArpnt if nobody did, then why did you even bother to do it?

@SArpnt very obviously nobody and i pointed that out pretty clearly if you could read

@SArpnt thanks for criticizing your own response

Wait, if a black hole is spherical geometry, are white holes hyperbolic?

@@hyperbeast4340 maybe

The perfect crossover doesn't exi...

But I understood more and I am twelve years old. I am too nerdy for my own good

@@karynjohnson You will read your comment in 10 years and cringe.

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/

@@CodeParade Oh hey, she's friends with vi hart! Dang, small world. more people should do stuff like this ^^

@@Queer_Nerd_For_Human_Justiceis she the flexagon person?

yes @@The_Moth1

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 ?

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-jtBV3GgQLg8.html for the uninitiated

Map Men MAP Men MAP MAP men men

It’s actually MAP men MAP men MAP MAP MAP men men men

@@d.l.7416 MAP men MAP men MAP MAP MAP men men men

map men map men map map map men men

PleasentDddd I guess you just gotta think it threw a little...

Yuvraj Sethia frick

As someone who also loves geometry, it really turned me on lol

threw*

I’m hungry now

Wtf

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

@@beanmcknee1610 why would the color of the hole change? .

@@tristenarctician6910 no sorry what I meant was is that the coin represents light itself, not light in color I hope that helps

@@tristenarctician6910 particle get excited and emit radiation that we perceive as a colour change

Just think of a magnet and a ball bearing, just that they can't touch

I'm ok I don't want to be a flat earther

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

@@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?

Instructions unclear, Teleported to another plane in existence and start being trained by Sherk to fight against an Otaku army

Oh I became a non-Euclidean-earther. *i can hear melanie Martinez when a bird chirps now*

whats a triangle

I think the channel 'think twice' has a video about the derivation.

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.

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

hi cary

wait seriously

How was it?

You have a curved bathroom floor? Isn't that kind of impractical?

I too enjoy my showers in R'lyeh

@@doppelrutsch9540 yeah but i imagine it looks cool

Exactly!

@@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")

Oh hell, i knew i'd seen that somewhere before, i guess that explains it!

That's what came to mind for me as well!

It also reminds me of certain gears

surely the most ambitious crossover ever

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

PannenParade

an a press is an a press...

@@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)

its one forty nine right now and I face the same dilemma

Same :'(

I dont even understand algebra wtf

same, but its 4:04 am for me

STOP IT PLEASE THIS IS SO FREAKING RELATABLE ITS 12:36 FREAKING AM I CSNT SLEEP!!!

Maby our universe is spherical, and that "realy hard" to get speed enough is force to give that baseball light speed.

@@marcinlechicki4019 If the ball was thrown that hard it would be ripped to shreds.

@@Anonymous-zd1ow You are talking from experience Hulk?

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

​@@marcinlechicki4019he changed his user to anonymous, hulk is retired now sadly

Jøhnny Rëtznøvishchä Yeah. Too bad my inability to understand what he’s saying gives me a headache.

I want to understand...

pannenkoek2012*

@@ej-jz5rc simpleflips*

We just needed enough speed to get to the next PU!!!

@@GlyphicEnigma just blj for 11 hours and you should have enough!

the music tho its from another video about weird stuff a bit similar to this

@@TheaPeanut_69old it's the file select music from Mario 64

Man, makes me miss watching Pannen

Completamente difiero.

@@Shrek_es_mi_pastor why your pastor is shrek?

Euclidean geometry is just what happens when you zoom in on a surface infinitely.

oof lol

@@TaiFerret sounds strange to me, but i dont know enough topology to disprove it

Marek Čtrnáct You are indeed... A Super Nerd! *Guitar Riff*

tl;dr?

@@csicee TLDR: In non-Euclidean geometries, you are forced to measure lengths in a very specific units in order to get simplest possible formulas.

​@@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/

@@Fulgur14 phenomenal insight and work, thanks! keep it up!

*The 4th dimensional being watching me take a dump

@UltimateGeek at the same time

We actually live in a 4D world as 3D beings That's why we can't see the full extent of time

@@JotaC Time is not a SPATIAL dimension, stating that we live in a four-dimensional world is irrelevant, we live in three-dimensional space

Nykal absolute brainlet

*quick creepy distorted version of the Mario 64 File Select music starts*

pannen attack*

No you aren't

@@spikey288 youre not their dad

@@thatoneguy9582 not you again

That only happens when you apply a significant amount of force to yourself.

The Incredible Hulk Correction, velocity. Depending on the hyperbolic space (depending on r) even walking or breathing could tear you apart.

this is what happens when you try and and be parallel, but you'll learn.

I think OP was joking by being hyperbolic in his reaction?

@@diophantine1598 Oh thank you for correcting me! Oh Jesus this is 7 months late XD.

Bismuth be like

Explain

@@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 RU-vidr 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.

@@Chrischi3TutorialLPs YOU CAN'T JUST PRESS THE A BUTTON A HALF OF A TIME IT'S STILL AN A PRESS

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

this genuinely has taught me more about *euclidean* geometry than my classes have

bruh why tf would you be taking non euclidean geometry in school

​@@pattyryopotybuttongamer3063bro what are you talking about

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!

Tell me about it

holonomy happens in gmod

@@cheesepop7175 bro it happens fucking everywhere

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

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.

PRINGLES IN 4D

@@EliteOcto lol

@@EliteOcto N O N E U C L I D E A N P R I N G L E S

ElPseudocrítico E A T

This clarifies things quite a but for me. Thank you!

I was wondering exactly that jaja! Thank you

Geodesics waving to the world 🤗 Hi, geodesic !!

oh thank you, i was just hung up on that :v

Underrated

its even 3:00

Lol

what blanket did you buy?

why "no one:" is needed everywhere. How is it helping the joke

Xzibit would like to know your location

If you live in America, the sky is Australia.

Bro, how many QPUs are you on?

@@cmdrkradenguard6808 like maybe 5 or 6 my dude

This a reference to that half A press Mario run?

you half Alive or half dead?

Ok TJ 'Henry' Yoshi

So relatable

4* because then he'd be QPU misaligned

Also, every vertex can have infinitely many apeirogons around it!

POV: Her grandchildren are Watching This.

This is clearer than any other way visualize it

Ok jelly 😉

well, we need 4 things: HSPW, forcing scuttlebugs to have a jamboree, pannen, and TJ """"Henry"""" Yoshi.

@@Lance0 don't forget groundpounding the misalignment

Fun fact: by the Curry-Howard Correspondence, maths and programming are literally identical (two perspectives of the same thing).

@@randairp Fun Fact: semicolon

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.

Isn't the opposite of sine just minus sine? I guess you need to define "opposite"

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.

Or it could be cosecant. It’s the reciprocal of sine.

@@zacozacoify sinh is, in a way, sin rotated 90 degrees: sinh(x) = -i sin (ix)

@Multorum Unum It can be if sin(ix) is pure imaginary.

mario

the lines are still universes

@@TheaPeanut_69old one dimensional, yes