Even Brackeys doesn't really understand Quaternions! Hell, even the ppl who invented them don't understand them and just made the functions Quaternion.Euler and the inverse function!
Quaternions are difficult because they're part real numbers and part imaginary numbers (in the form w + xi + yj + zk, where w, x, y, z are real numbers and i,j,k are imaginary numbers). Interestingly, sine is related to the value of the imaginary numbers because the power functions of i,j or k will evaluate (using i as an example) to 1, i, -1, -i ... just like the rotation through the unit circle in this video. The difficult thing with explaining/understanding Quaternions is that they are fundamentally abstract and you can't really point to something and say "See, that's a quaternion in action" (but you can kinda point at everything and say it... such is abstraction). How they work (or how they can be understood to work in practice) depends entirely on what you're using them for.
Everything he says here is related to math, and not necessarily game development. You can find many tutorials about Quaternions if you don't wanna wait. They won't tell you how to use it in game development (or 3D art, in this case), but they will tell you about how Quaternions work, and then you can assume how to use them in whatever you want to know them for (there might be some tutorials that talk about them specifically for 3D stuff, I didn't check, but there are MANY that talk about them as a math topic).
Brackeys makes it easy to understand so I would like him to cover the topic in relation to the transform component or something like that. But I appreciate the comments. Also in a video about making a minecraft clone in unity within a week I saw how he used something that looked like it used a sin wave: Could somebody explain to me how you would use sin waves in world generation?
Blue Shadow Because when using Perlin Noise, it asks for a value between 0 and 10, where 10 is white and 0 is black (those are values which will be used later to generate the height, white is the most bumped and 0 the lowest). I am not actually sure why a sine wave, though, since it goes between -1 to 1. The best way is to perlin noise is using Lerp, not sine, so I am not sure... I am probably wrong and you saw sine in a different context. Can you send me the video where you saw it? I am probably wrong, but I don't want the things I wrote to go to waste, so I will keep them...I just want to give you a correct answer.
I was pretty skeptical about a 4 minute sine function video. However you did a great job explaining the basics and still got straight to the practical usage! Good job ;-)
A really good use for sine and cosine waves is with an orbiting camera around an object, even if it's moving. In your game loop, take the rotation transform on one axis of the camera and store it as radians in a variable. For example, if your object moves on the X-Z plane, store the rotation about the Y axis. Then find both the sine and cosine of the angle and store those in a variable. The new position of the camera can now be defined by adding these vectors: (Orbital Radius * Sine of the Angle, Y Position of Camera, Orbital Radius * Cosine of the Angle) + (X Position of Object, 0, Z Position of Object). You can find the orbital radius by figuring out the initial distance between the camera and the object. You can make the camera orbit by changing the Y axis rotation over time, either automatically or in response to some input.
I registered on the brakeys forum but when I want to create thread it says i eed to confirm my account :( but I got no confirmation email only 1 at the start but it was empty my name is Sh4d0w and I have the same profile pic
Thank you for the video. Next time please explain to us: - Quaternions; - Perlin noise; - Different sorting algorithms (I mean effective ones like QuickSort and HeapSort, not the Bubble); - Pathfinding algorithms (Dijkstra and other company of travelling sale agents).
Important question. I was developing a microsoft visual studio in C# language. I had to make the obstacles fly in a sine wave function. Where the y coordinate was a sine function of time. Because the product is a long float. eg 3.1556778, the positions only work with integers. Else the motion would look buggy. Do you have a solution
I have one word for you my friend "AWSOME" if you could make something on quaternions , physics simulation of vehicles like wheel colliders that would be of great help thanks any was great video
Hey! Loved the video! I have a question. How Would I make waves one a 2D water thing, and A wave like splash at the point of impact when a rigid body hits it? Thanks, Some Guy You Don't Know That's subbed too you.
this video deserves SO MANY MORE VIEWS than it has current has! This is the most simple, elegant and easy to understand explanation of this concept I have seen ALL OVER TH-cam. And trust me I have looked at hundreds. The game title must be throwing it off on searchs. But millions of people in high school and college and needing to learn this concept. Maybe the video producer can post an alternative title to this video to help in searches.
Also, except for tan and cosine, the coefficient of sine in a wave function will always produce some sort of exact outline, in x^2 you get plus or minus x^2 as the outline but in x^2+3x-4 the wave function pretty much follows the line, it’s super cool...
Thanks for the video! If we want to have our object float up and down but from a starting point of say 3 on the y axis, how could we do this please? Sine always throws the object back to 0 as a starting point
can u please create a tutorial on... Like when the player in the game is inactive for a certain period... The next next process is highlighted(for example the finish point is highlighted) so that the player knows where he has to go..
How would you use the sin wave to move an enemy? Would it work in a way that each foot would move based on the wave? So right foot would move at 1 and left at -1?
"thats just a theory, a game math theory" dam that got me laughing XD
small world
well hello, small world it is..
Look! It's Matt Murdoc!!!
same haha
Saaaaaaaaame!
holy wow, years of school and I finally understood the sine function in a 4:20 min video.
So you just didn't pay attention in school then?
@@squeakybunny2776 schools are like drugs made to cure all diseases in one pill.
Was it your " high"-school?
Like brackeys said. I need to get out more...
For real though
@@squeakybunny2776 yeah I can't believe it when I see comments like this, did your teacher suck that badly?
I instantly thought of Game Theorists as you said "Hey, thats just a theory" and i grinned as you really did this joke ^^
I would love a video about how you manipulated that plane mesh to create a wave.
Have a look at the standard water assets in Unity! :)
That's just a simple shader I assume
th-cam.com/video/3MoHJtBnn2U/w-d-xo.html
I did this video last year, it was neat to do it all through code :3
Probably used perlin noise
I'm thinking of that procedural mesh generation thingy he made a video for but plug a sine wave in the y instead of just noise
Nice ^^ i would love to see one of these about Quaternions :D
Even Brackeys doesn't really understand Quaternions!
Hell, even the ppl who invented them don't understand them and just made the functions Quaternion.Euler and the inverse function!
Like... the people who invented them were like... 'It works.. but why?.. NO! DON'T TOUCH IT, LEAVE IT AS IT IS!!'
Swyse Official We are just inferior beings that will never truly understand Euler's advanced concepts.
Brackeys left the chat
@@HAWXLEADER The Inventor of the quaternions was so happy about his discovery that he carved it into a bridge. (Broom Bridge)
PLEASE! BY GOD EXPLAIN QUATERNIONS! even my Math teacher doesen't know anything about them
Quaternions are difficult because they're part real numbers and part imaginary numbers (in the form w + xi + yj + zk, where w, x, y, z are real numbers and i,j,k are imaginary numbers). Interestingly, sine is related to the value of the imaginary numbers because the power functions of i,j or k will evaluate (using i as an example) to 1, i, -1, -i ... just like the rotation through the unit circle in this video. The difficult thing with explaining/understanding Quaternions is that they are fundamentally abstract and you can't really point to something and say "See, that's a quaternion in action" (but you can kinda point at everything and say it... such is abstraction). How they work (or how they can be understood to work in practice) depends entirely on what you're using them for.
Everything he says here is related to math, and not necessarily game development. You can find many tutorials about Quaternions if you don't wanna wait. They won't tell you how to use it in game development (or 3D art, in this case), but they will tell you about how Quaternions work, and then you can assume how to use them in whatever you want to know them for (there might be some tutorials that talk about them specifically for 3D stuff, I didn't check, but there are MANY that talk about them as a math topic).
Brackeys makes it easy to understand so I would like him to cover the topic in relation to the transform component or something like that. But I appreciate the comments. Also in a video about making a minecraft clone in unity within a week I saw how he used something that looked like it used a sin wave: Could somebody explain to me how you would use sin waves in world generation?
Blue Shadow Because when using Perlin Noise, it asks for a value between 0 and 10, where 10 is white and 0 is black (those are values which will be used later to generate the height, white is the most bumped and 0 the lowest). I am not actually sure why a sine wave, though, since it goes between -1 to 1. The best way is to perlin noise is using Lerp, not sine, so I am not sure... I am probably wrong and you saw sine in a different context. Can you send me the video where you saw it? I am probably wrong, but I don't want the things I wrote to go to waste, so I will keep them...I just want to give you a correct answer.
on second thought it may not have been sin at all
It would be super interesting to have a video about Quaternions. Keep the great work going :)
yes, quaternions!
I was pretty skeptical about a 4 minute sine function video. However you did a great job explaining the basics and still got straight to the practical usage! Good job ;-)
lol I'm 12 so now I get to be ahead of my maths class by a couple of months
nope. by a couple years. been there still there
NoobStudios, why so negative?
I'm not being negative. Did you even read my comment?
NoobStudios Atleast he's being positive over something and you come with your negative attitude towards his comment.
Why do realise i was not being negative? I was saying he was ahead of his class by years instead of months...
A really good use for sine and cosine waves is with an orbiting camera around an object, even if it's moving. In your game loop, take the rotation transform on one axis of the camera and store it as radians in a variable. For example, if your object moves on the X-Z plane, store the rotation about the Y axis. Then find both the sine and cosine of the angle and store those in a variable. The new position of the camera can now be defined by adding these vectors: (Orbital Radius * Sine of the Angle, Y Position of Camera, Orbital Radius * Cosine of the Angle) + (X Position of Object, 0, Z Position of Object).
You can find the orbital radius by figuring out the initial distance between the camera and the object. You can make the camera orbit by changing the Y axis rotation over time, either automatically or in response to some input.
But hey, that's just a theory. A GAME MATH THEORY. Thanks for watching.
Beutiful=D sir I really appreciate you hahahha
Yeah! so i can turn my homework to my teacher with unity project hahaha
matpat in the corner thinking about making math theory
Damn this is funny and intellectual
I liked the way u pronounce Arun Mehta
this series is awsome keep it up
How can I possibly thank you enough, I just so wanna hug you right now!!!
Nice game theory refrence
For applying this to actual (3D) movement see answers.unity.com/questions/781748/using-mathfsin-to-move-an-object.html
finaly I've understood HOW sin/cos func works. It's n*(X) where n = for(n=-3.14/n=0; n
you just tought people half a semester of calculus in less than 5 minutes...
I have viewed these as shapes which I can use to permute other shapes for a long time now.
Me after seeing Geogebra: "Yeaaah Baby! Thats exactly what I've been waiting for.
"that's just a theory!" that alone made me sub
I registered on the brakeys forum but when I want to create thread it says i eed to confirm my account :( but I got no confirmation email only 1 at the start but it was empty my name is Sh4d0w and I have the same profile pic
dude you're so gosh darn good at teaching, it's insane! TY TY TY
Awesome video!
Nothing new that I didn't know but still a very nice, informative and quality made video.
It's just a theory A GAME MATH THEORY
The Theorists: HECK YEAH!
Cosine waves... :)
you're godsent, I finally understood it!! 😭🖤
this part 2:04 saved my life now i compeletley know what is it
Amazed that his most useful videos have less likes than other not so important vids
plz you some channel for learning math of game developer
Im in class and the game theory joke almost made me laugh out loud 😂😂
Whats the name if the program used to draw the sine waves??
good but too basic, 3:41 it's not enough to giving ideas. try discuss more
Wow I learned something new Thanks
π = 3.14. Every mathematician left the chat
I want to use this to make the wings on a butterfly flutter.
This function is awesome, thanks a lot!
epsero algun dia los subtitulos al español XD XD
learning game development and pre-calculus
how do you do a sine function in unity though
private Vector3 _startPosition;
void Start ()
{
_startPosition = transform.position;
}
void Update()
{
transform.position = _startPosition + new Vector3(Mathf.Sin(Time.time), 0.0f, 0.0f);
}
Thank you for the video.
Next time please explain to us:
- Quaternions;
- Perlin noise;
- Different sorting algorithms (I mean effective ones like QuickSort and HeapSort, not the Bubble);
- Pathfinding algorithms (Dijkstra and other company of travelling sale agents).
Ha ha ha please keep doing this game math theory ha ha ha
Ha! I loved the bonus fact about the beep sound! Well done!
Important question. I was developing a microsoft visual studio in C# language. I had to make the obstacles fly in a sine wave function. Where the y coordinate was a sine function of time. Because the product is a long float. eg 3.1556778, the positions only work with integers. Else the motion would look buggy. Do you have a solution
I have one word for you my friend "AWSOME" if you could make something on quaternions , physics simulation of vehicles like wheel colliders that would be of great help thanks any was great video
I watch the TH-cam channel game therest
Hey! Loved the video! I have a question. How Would I make waves one a 2D water thing, and A wave like splash at the point of impact when a rigid body hits it? Thanks, Some Guy You Don't Know That's subbed too you.
u saved my life. Thank you.
You are amazing, really :o
ok during Highschool I had trouble understanding Sin curves (Cos and Tan Ones aswell) your video just made it Click thanks so much.
Funny, I learnt it in my Russian school when I was 13, but Brakeys explained sin more interesting than in my school.
this video deserves SO MANY MORE VIEWS than it has current has! This is the most simple, elegant and easy to understand explanation of this concept I have seen ALL OVER TH-cam. And trust me I have looked at hundreds. The game title must be throwing it off on searchs. But millions of people in high school and college and needing to learn this concept. Maybe the video producer can post an alternative title to this video to help in searches.
how did they create the function "sin (angle)" ?? I know I only need to use "Math.sin (f)", but I want to know how they created this function.
Also, except for tan and cosine, the coefficient of sine in a wave function will always produce some sort of exact outline, in x^2 you get plus or minus x^2 as the outline but in x^2+3x-4 the wave function pretty much follows the line, it’s super cool...
Very Good Video beside Game Development
Off topic question:
Can you try to recreate the iOS game Impossible Road, in unity?
I had to watch it 10 times to understand
Quick Maffs
Ok I'm sorry
So many possibilities from just sin(t)!!! You could make repeating animation and stuff.
Best Explanation Sir 👍👍👍
Feeling enlightened thank you Master hehehe
smol brackeys: "that just a theory, a game math theory"
big brackeys: Leaves us 😭😭
You actually explained it way better than my physics teacher did back in the day. (For those that wonder: yes, I really ment physics teacher)
Thanks for the video! If we want to have our object float up and down but from a starting point of say 3 on the y axis, how could we do this please? Sine always throws the object back to 0 as a starting point
That's a just a theory.
*_A GAME MATH THEORY_*
What is a Cosine Wave? Please Explain
Hey would you please mind to tell me what software you are using to create those animations?`
Very much appreciated!
1st year of high school all over again.
I took Trig and never understood where they got the x's and y's of the sin cos and tan functions. Now after one video I finally get it.
OMG WHAT IS THAT FOR GREAT QUALITY?!?!?! You deserve 1.000.000 subs or more!
Nice vid
But the forum verificatiob doesn't work!!!
can u please create a tutorial on... Like when the player in the game is inactive for a certain period... The next next process is highlighted(for example the finish point is highlighted) so that the player knows where he has to go..
How would you use the sin wave to move an enemy? Would it work in a way that each foot would move based on the wave? So right foot would move at 1 and left at -1?
It is possible to create a Sinus rhythm (Heart beat) with sine waves in Unity?
reminds me of the brachistochrone
1:22 "THE UNIT CIRCLE!! I need to get out more..."
is there anyway to use sine waves to make certain level. patterns like sky force (a space shooter game)?
Can sine functions oscillate between desired outputs or it is fixed between -1 and 1?
bro please tell me , how I can be good game developer? i mean how i should do my task?
جميل.
لكن ملاحظة. مراجعة دائرة الوحدة والاطوال الموجية مهم جدا لتوسيع الامر.
Awesome, thanks! I never knew how time manipulation was done in video games.
You speak too fast . Why? please know that not all of your followers are native .
Turn on subtitles.
3:33 LOL!! Quaternion pelease!!!
what software are you using? looks amazing for learning
Brackeys, what's your MBTI?
Wow this was awesome. I wish you were my calculus teacher in varsity. Things would've been a lot more interesting. Keep up the great work.
BRO !! u are so perfect when u come to explain math !!
Can you PLEASE continue this series? It is so well explained and I'm sure it will immensely help any aspiring gamedev
I finally understand Sine. Thanks for all the awesome, and informative, videos~
hmmmm the length of the vid is 4:20
What software did you use to simulate the rotation on unit circle?
Thanks mate..Ill look into it..
Entendí gracias a los dibujitos, el inglés no se entiende ni una caca xD
GeoGebra ftw XD
Can you make a tutorial on making a player get through loop de loop
Please
Great video, Way better than game theory as it has real application and isn't complete hypothetical bullshit
video starts at 2:38 for all engineering students who share the same fate as me :(
Quaternions please