I cannot thank you enough for this. I follow you on twitter and you really have made some amazing stuff, it's so great that we get a literal full workshop's worth of knowledge, straight from your mouth. Understanding math at this level could easily kickstart a whole life's worth of game development, and so SO few people really understand how to use it, this series will definitely change some lives. AND I AM READY. Thanks thanks thanks thanks thanks
I`m grateful like that too, I`m just watched few times the Linear Alg series from 3B1B channel and then the algorithm just recommended this video, so it`s all perfectly matching, the theoricals and practicals, thank you so much.
I use Godot, but your tutorials are absolutely amazing. Thank you for sharing your time and knowledge to help people like myself learn this stuff. You rock girl!
Hi Freya, I'm somebody who dropped out of high school and has struggled to grasp math concepts for a very long time. I'm 29 and it has always seemed completely inaccessible to me. Sometimes your lessons make me cry a bit because I feel like for the first time in my life I'm actually able to comprehend the use cases for this stuff in a way that is both enjoyable to learn and actually useful. Thank you so, so much for everything you do ❤️💕
if i had someone like you as my math teacher when i was younger i‘m pretty sure my dyscalculia wouldn’t have traumatized me to the point where even the thought of math can be triggering. this is so well explained and soothing and genuinely makes me want to learn. thank you
And this is the reason I love the internet. There are some things that I hate about the internet, but the free information that's available for *everyone* is so valuable, especially for less privileged people. Hope you're doing great with this, and good luck :D
Sooo cool of you to put this up to youtube! I got so much out of this course the first time around, having the ability to refer to a condensed version of it whenever I want is so extremely very nice. Thank youuuu
You have a great mind!🙌 You are the kind of person conservatives love to hate. You are intelligent, compassionate and speak truth. That's their weakness. We need A LOT more people like you. A lot more.
Freya you are amazing! I've recently gotten into graphics programming and been delving into more advanced math to fill the gaps in my knowledge, and this is EXACTLY what I needed. 3blue1brown is great, but it can get a little abstract and I always end up thinking "cool, but what can I do with this?". The way you tie it to game dev and give real-world examples makes it much easier to grasp imo. Thank you so much, you're a great teacher!
These are honestly some of the best game/graphics dev videos on TH-cam. I rewatch the math and shader videos all the time because there's so much great information there and it just reinforces it and helps me visualize. It's been a huge help at my day job and in my hobby projects, so I appreciate the hell out of Freya!
To verify the 3rd exercise, one could add a transform as a child of the first point and set it the calculated coordinates of the world space point. That way, if the formula is correct they should stick together! Thanks a lot for this video Freya! :)
About drawing straight lines: Might be slightly less visually informative, but you can generate a straight brush stroke between two points by clicking with a brush at a point and then while holding shift, clicking at another point. Also, thank you so much for all your work with visualizing math, they made it fun to catch up with the math I never understood in school.
I learned more in a few hours than an entire semester of my vector physics subject during senior high. I agree with your intro statement where teachers really don't know how to make things interesting to students and just assume that everyone is willing to learn subjects voluntarily without giving how it is useful in real world cases or at least making the discussions interesting.
Vectors would be much more interesting to learn about if they were used as tools to solve interesting problems. Which is the genuine reason why they exist anyway.
This is fantastic. I only just stumbled onto your channel, through your Bezier curve video. And though I love maths channels like 3b1b, the only time I really get to play with what I consider fun or interesting maths is in video game development (last time I touched a Bezier curve was when I was writing a game entirely in C++ using only Assimp), so this is a perfect marriage of theoretical knowledge and the kind of practical application that's relevant to me. I haven't done any game dev stuff for a few years, so maybe this will get me back into it.
These lessons are so awesome and Im actually looking forward to learning math! I think the problem with schooling is that they never get you excited about it's possible applications, at least my teachers never did. If they told me how it could be used creatively I might of actually paid attention lol.
If you're only learning to try and get something material, every second of it will be like pulling teeth. It's a bad attitude, and you can let go of it anytime.
I'm so glad I decided to rewatch this. The first few times I watched, I really didn't understand much beyond the definitions of vectors and scalars, but now that I've gotten some experience with vectors and scalars in games, everything else is starting to make so much sense.
Very great job, getting the math to the people without scaring them off with .. math :-) I especially liked the part about the dot-product, especially because it describes what one can do with it. Great Work!
you got the best game dev explanations out there. have a great skill for explaining quite complicated things in simple terms, which is a skill in itself.
I've been working on a game for almost 2 years with no prior knowledge, and I've been hesitant to learn math-related stuff coz I hated math when I was in school. Eventually, math problems really did appear and I wish I knew these stuff before I did some of those. Now I want to learn more! Thank you for these videos. Amazing job!!
Introduces herself as oh yeah I also once made a plug-in a long time ago called “Shader Forge”! Like WHATTTT!! That’s my favorite tool ever!!! I literally used shader forge everyday for years
I have been coding since the age of 19 when I did a hand reverse engineer of a C64 program and learned 6502 assembly in 2 weeks without a computer... but THIS is all way above my pay grade, i never had ANY math at all and after 30 years as an embedded developer it has rarely caused me any pain.... other than wishing I had learned it :) However. You are wrong. There is ONE stupid question. the one that goes unasked.
When I figured out the the coordinate (-1, 1), I got so happy cause I'm terrible at math but for game developing I'll do anything, I'm 17 tho, I wanna get a job a buy a good PC and learn to code, I love videogames
These series are something I've been searching for for a long time. I set a goal to watch every math tutorial and work hard. Thank you for making these videos for strangers like me who need them
The third exercise is deceiving,took me an embarassing amount of time. One thing I recommend to everyone else: use the draw gizmos while solving it,helped immensely to visualise the lines, especially drawing the (rotated)local and world axes(Vector3.right/up and localAxis.Transform.Right/up) . Also for other math courses related to game dev I recommend javidx9 channel(shows some interesting and sometimes quite complex stuff) and Jorge Rodriguez's playlist(its piecemeal and lets you go through it at your own speed,so if you want to quickly skim concepts or just plain skip some known parts) - they are the first thing that pops up when I search math for game dev,not sure if everyone else has that as well. This is the only course that has concrete assignments with concrete limits so thats a big plus for me(although I didnt watch all of javidx9 and Jorge's stuff yet). Edit: Have just discovered three blue one browns fantastic series on "Essence of linear algebra", a must see
Good video and a nice refreshment of 8-9th grade school math and the usecase of dot product was interesting, it help a lot. A little advise: Next time try to move the canvas a little bit less often, cause move it every second is a little bit take attention from the important stuffs at least for me. Also a little bit less correction on the writing, no need to be perfect shape letters/numbers on canvas, we can read it :)
Hey guys, i just started programming and this 2d/3d math is really scaring me. i'm not higly intelligent but i'm defenitly not stupid. Were you guys scared in the beginning aswell and did the knowledge come over time?
When I was noobier, I almost always forgot to normalize vectors before dot operation. When for some reason normalization not needed, put both vectors at world center first. Polygon normal still need to be normalized too, because there are possible situations where it's not length of 1… I had that in Houdini, though it's rare. Also I've found trick in Unreal Engine, casting Rotator to Vector returns normalized vector.
I consider myself a bit of an intuitive and clever scripter, but I never did get any formal education in higher or specialized maths. Thanks for helping me brush up a bit!
its the god, the myth the creator of shader forge... WOW and im here trying to understand how fernsel works so i can make a freaking shield barrier.......................
Я новичок на канале, это мое первое видео. И я думал, что она прячет какой-то сюрприз, а потом спустя час просмотра понял, что это за сюрприз, и кто его прячет;D
This is brilliant. Thank you Freya! Love that you're showing all these concepts in context - it's really helpful. Your students are lucky to have you :)
Hey I maybe wrong but seems like I saw u before. I think I saw u in Hyderabad, India for IGDC. It's more than 1.5 years so I might be wrong. But your Name and face is what I can recall a bit.
impressive content! Thank you very much! Let me ask, have you some material on how to calculate, not the distance between vectors, but the projected distance in some specific axis?
@@buffstavofring2755 In order to do it in Unity, so we must get the angle of the vector related to the target axis and its length, then it will be a sin / cos standard math. I was wondering if Unity, C# API wouldn’t have functions to get it straight.
By the way, why math? Without math you couldn't make videos available on youtube, our civilization was just not possible. Math is the best approximation we have of reality.
This was great! I just implemented some code in this submarine simulation prototype I'm working on that gives me the subs speed... I basically found someone else's code and was able to duck-tape their code into my game, but I had no idea how it worked after I got it working... now everything makes sense to me and I'm thinking about things I can do with Math I never thought about before!
58:03 Most mathematicians I know try to avoid this type of confusing notation by using different letters on top of using different font. You can't really name your variables in math like you can in coding because something like abc could be a variable in coding but in maths this could mean a times b times c which would only make things worse. I'm studying maths at university btw so I do know a few mathematicians. What I have noticed is that this kind of confusing notation can come up often in physics papers and text books and those can be super annoying to decypher
Took a Vector Calculus course in my college Computer Science program almost 30 years ago. Got an A -- then somehow forgot almost everything. This video brings back good memories. Thanks for the memories.
transwoman from that bunch of gravel and clay across the sund here, I had to quit trade school (electrician) due to the predominantly male students being awful and threatening to me game development is my life long dream and an absolute brick wall, your video on bezier curves was amazing. You inspire me and you are a huge help in brushing off and polishing my highschool maths. I am planning to qualify for studying physics at university by august but until then I decided to program as much as I can with gamedev as a focus.
Yeah I remember back in Unreal Tournament 3 days, I wanted to see how materials done and wtf are these yellow-green-red-black squares everywhere. Few month later I realized it's UV texture coordinates, and it was vector field. It was first time I learned where vectors are used.
I know it's a 3 year old video, but I noticed every time you had a problem with the document "locking" Photoshop's auto save kicked in. Or you also did ctrl-s before you open/closed the document. Perhaps that's the issue with the document locking? The software "froze" any edits while the harddrive/software was doing it's thing? I've never seen photoshop ever lock a document before so your experience with it was shocking to me. The other option I thought was maybe some key combination did it, but searching the default hotkeys there isn't anything that would "lock" a document. Either way, thank you for the informative lecture. I have always hated math and always said, "That's why I work with computers, I let it do the math for me." But the few talks and lectures I have seen of you have slowly started to change my mind and I can see the beauty of it. I believe you once said something to the effect of: most people's experience with math are from being taught by people who love it and assume the people listening to the lecture have the same feeling so they never represent it in a way that catches the other person's attention. I can say you have opened up the world of mathmatics like no other person has for me. Thank you. You've shown me how you view the world in regards to mathmatics and I agree. It can be a beautiful and interesting thing. It's no longer some abstract thing of knowledge I only had to learn to get my diploma.
2:14:40 as far as I know on modern processors the square root does not cost more than other operations, at least not enough to ever matter in game development
2:05:15 I want that lmao, so does everyone Oh man, went down the rabbit hole of your escapades with 3D modelling/printing them on Twitter. Completely forgot how I got there. I see you're sold out, is there any way I could purchase the stl files instead? Alright, back to work...
I almost began to cry at how helpful this is. the fact that you started with the basics makes this so so so very friendly and intuitive, i can’t even put my gratefulness into coherent words. thank you infinitely.
Thanks for youtubeing this. Really. Maths look really scary and your way of explaining them makes them easier and approachable. Not many teachers achieve this, ever.
This is soo good. I cant even exaplain to you how useful I found this. I came with 0 knowledge of 2D/3D vector maths, it was always monkey see monkey do. But now I actually understand them. Thank you so much!!
I'm taking a break from college after being somewhat burnt out on studying maths. But Something like this could get my enthusiasm up a bit. Just seeing your title piqued my interest.
Just want to echo what others have said, after years doing 3D artwork and recently trying to learn VEX for Houdini, but not fully understanding vector maths, it's now really clicked after watching this. Just brilliant! Your style of explaining is fantastic. Thank you. Really looking forward to watching all your content.
I cannot thank you enough for this.
I follow you on twitter and you really have made some amazing stuff,
it's so great that we get a literal full workshop's worth of knowledge, straight from your mouth.
Understanding math at this level could easily kickstart a whole life's worth of game development, and so SO few people really understand how to use it,
this series will definitely change some lives. AND I AM READY.
Thanks thanks thanks thanks thanks
…'k
I`m grateful like that too, I`m just watched few times the Linear Alg series from 3B1B channel and then the algorithm just recommended this video, so it`s all perfectly matching, the theoricals and practicals, thank you so much.
I use Godot, but your tutorials are absolutely amazing. Thank you for sharing your time and knowledge to help people like myself learn this stuff. You rock girl!
First minute, and I am thinking, this girl has the same energy of her voice as 3blue1brown. Best of luck to you in the future:)
This "girl" isn't a girl
@@tehonionpotato6364 transgender?
@@dj_b1627 yeah
@@tehonionpotato6364 so a girl then
@@Isacc142 sure
Hi Freya, I'm somebody who dropped out of high school and has struggled to grasp math concepts for a very long time. I'm 29 and it has always seemed completely inaccessible to me.
Sometimes your lessons make me cry a bit because I feel like for the first time in my life I'm actually able to comprehend the use cases for this stuff in a way that is both enjoyable to learn and actually useful.
Thank you so, so much for everything you do ❤️💕
I'm glad to hear that!
Waw ❤❤❤❤❤
Blessings, math is beautiful once you know how to use it. It gives you this creative freedom you just can't even consider without it
Sorry that our education system failed you. We must do better.
ditto kiddo
if i had someone like you as my math teacher when i was younger i‘m pretty sure my dyscalculia wouldn’t have traumatized me to the point where even the thought of math can be triggering. this is so well explained and soothing and genuinely makes me want to learn. thank you
You have no idea how much this series means to me. Thank you so much
I'm glad you like it!
Hands down, you're one of the best teachers out there. Pretty much love your energy.
So I've used shaderforge for ages and played budget cuts heaps. Then in the matter of 2 minutes you reveal you made both of them. Star struck!
Wow, hi Tarodev
@@berkekaancetinkaya8721 hey there Berke 😉
As someone from a third world country stuck at home from COVID, thank you for this 🙏 I won’t be able to afford the courses in a million years anyway
And this is the reason I love the internet. There are some things that I hate about the internet, but the free information that's available for *everyone* is so valuable, especially for less privileged people. Hope you're doing great with this, and good luck :D
Sooo cool of you to put this up to youtube! I got so much out of this course the first time around, having the ability to refer to a condensed version of it whenever I want is so extremely very nice. Thank youuuu
You have a great mind!🙌 You are the kind of person conservatives love to hate. You are intelligent, compassionate and speak truth. That's their weakness. We need A LOT more people like you. A lot more.
Oh my god, we've just been blessed. Thank you ! :D
Blahaj spotted
Freya you are amazing! I've recently gotten into graphics programming and been delving into more advanced math to fill the gaps in my knowledge, and this is EXACTLY what I needed. 3blue1brown is great, but it can get a little abstract and I always end up thinking "cool, but what can I do with this?". The way you tie it to game dev and give real-world examples makes it much easier to grasp imo. Thank you so much, you're a great teacher!
These are honestly some of the best game/graphics dev videos on TH-cam. I rewatch the math and shader videos all the time because there's so much great information there and it just reinforces it and helps me visualize. It's been a huge help at my day job and in my hobby projects, so I appreciate the hell out of Freya!
happy to hear they've been useful!
To verify the 3rd exercise, one could add a transform as a child of the first point and set it the calculated coordinates of the world space point. That way, if the formula is correct they should stick together! Thanks a lot for this video Freya! :)
02:45:00
That volume example was crazy, I loved that usage of dot product.
About drawing straight lines:
Might be slightly less visually informative, but you can generate a straight brush stroke between two points by clicking with a brush at a point and then while holding shift, clicking at another point.
Also, thank you so much for all your work with visualizing math, they made it fun to catch up with the math I never understood in school.
not with pen pressure unfortunately! unless I jam the pen into the tablet really hard for both endpoints, which doesn't seem super safe~
@@acegikmo oof, yeah scratch that then haha
You're an incredible teacher!
I learned more in a few hours than an entire semester of my vector physics subject during senior high. I agree with your intro statement where teachers really don't know how to make things interesting to students and just assume that everyone is willing to learn subjects voluntarily without giving how it is useful in real world cases or at least making the discussions interesting.
Vectors would be much more interesting to learn about if they were used as tools to solve interesting problems. Which is the genuine reason why they exist anyway.
This is fantastic. I only just stumbled onto your channel, through your Bezier curve video. And though I love maths channels like 3b1b, the only time I really get to play with what I consider fun or interesting maths is in video game development (last time I touched a Bezier curve was when I was writing a game entirely in C++ using only Assimp), so this is a perfect marriage of theoretical knowledge and the kind of practical application that's relevant to me. I haven't done any game dev stuff for a few years, so maybe this will get me back into it.
39:06 "I'm also left-handed"
"Neat! I'm glad you figured out your chirality"
I'm laughing too much at this exchange lol
this video was so helpful as a student learning who is also interested in game dev!
These lessons are so awesome and Im actually looking forward to learning math! I think the problem with schooling is that they never get you excited about it's possible applications, at least my teachers never did. If they told me how it could be used creatively I might of actually paid attention lol.
If you're only learning to try and get something material, every second of it will be like pulling teeth.
It's a bad attitude, and you can let go of it anytime.
Very good intro for a high school math class answering student's ever-present "Why? What's that for anyway?"
I'm so glad I decided to rewatch this. The first few times I watched, I really didn't understand much beyond the definitions of vectors and scalars, but now that I've gotten some experience with vectors and scalars in games, everything else is starting to make so much sense.
Wish I could've attend a class like this at my university. Great stuff! :)
You said *right* 1533 times in the whole video.
Edit - I counted 1519 last time. But its actually 1533
thanks! it's pretty impressive right?
Very great job, getting the math to the people without scaring them off with .. math :-) I especially liked the part about the dot-product, especially because it describes what one can do with it. Great Work!
you're simply the bestest. ♥
I was fortunate enough to learn most of these concepts, but I love watching your videos, and I learned a few things.
It seems like suddenly I got a whole lot of studying I need to do ʕ•ᴥ•ʔ Thanks a lot Freya for these videos! Just what I wanted to learn these days.
Beautiful mathing! Ty so much!
"slaps roof of circle" lol
uhm, right, like, basically... irritating to filter for the actual information.
1:15:23 LMAO
"Can you show an example in unity?"
"uh do people want to see examples?"
"Show examples in unreal!"
"..noope!"
*loads up unity*
Your voice sound like Kitboga with a voice changer xD
But thanks for the video! I wanna start making games
Thx. Doing some procedural texturing in Blender and this really helped.
is this a trans woman?
yep
this is a woman
The cat is adorably distracting, but it's ok, I always felt that my schools lacked cats. They remind us what's important (their stomachs).
you got the best game dev explanations out there. have a great skill for explaining quite complicated things in simple terms, which is a skill in itself.
are we the same person
@@jeffreyg7260 Identity theft moment
That was unbef***inglievable! Huge respect; thank you so much.
I've been working on a game for almost 2 years with no prior knowledge, and I've been hesitant to learn math-related stuff coz I hated math when I was in school. Eventually, math problems really did appear and I wish I knew these stuff before I did some of those. Now I want to learn more! Thank you for these videos. Amazing job!!
Video title: Vectors & Dot Product
Me: Yeah, that's easy
Video length: 3 hours
Me: fffffffffffuuuu~~~~ _I have to watch this_
Introduces herself as oh yeah I also once made a plug-in a long time ago called “Shader Forge”! Like WHATTTT!! That’s my favorite tool ever!!! I literally used shader forge everyday for years
flaca que habla de vectores flaca que sigo
Schrödinger's cat lookout for competition, now we have Freya's cat too 🐱😉
Great series, thank you!
I have been coding since the age of 19 when I did a hand reverse engineer of a C64 program and learned 6502 assembly in 2 weeks without a computer... but THIS is all way above my pay grade, i never had ANY math at all and after 30 years as an embedded developer it has rarely caused me any pain.... other than wishing I had learned it :)
However. You are wrong. There is ONE stupid question.
the one that goes unasked.
Blender users seeing the y and z axis changed=> :(
You've seen gamer girls, but now you've seen dev girls
But this is a male. XD
@@lautaroka5847 :0 nani
@@lautaroka5847 that is a female
@@drawadog A female with the voice of a man trying to do a female voice. A female with the lawline of a man. A female with a penis, basically.
@@lautaroka5847 idgaf about sex, that's a female
мяу мяу
When I figured out the the coordinate (-1, 1), I got so happy cause I'm terrible at math but for game developing I'll do anything, I'm 17 tho, I wanna get a job a buy a good PC and learn to code, I love videogames
These series are something I've been searching for for a long time. I set a goal to watch every math tutorial and work hard. Thank you for making these videos for strangers like me who need them
a + b = b + a
a - b = a + (-b) = (-b) + a
a - b != b - a [this is actually b + (-a) which is NOT the same thing as a + (-b)]
The third exercise is deceiving,took me an embarassing amount of time. One thing I recommend to everyone else: use the draw gizmos while solving it,helped immensely to visualise the lines, especially drawing the (rotated)local and world axes(Vector3.right/up and localAxis.Transform.Right/up) .
Also for other math courses related to game dev I recommend javidx9 channel(shows some interesting and sometimes quite complex stuff) and Jorge Rodriguez's playlist(its piecemeal and lets you go through it at your own speed,so if you want to quickly skim concepts or just plain skip some known parts) - they are the first thing that pops up when I search math for game dev,not sure if everyone else has that as well. This is the only course that has concrete assignments with concrete limits so thats a big plus for me(although I didnt watch all of javidx9 and Jorge's stuff yet).
Edit: Have just discovered three blue one browns fantastic series on "Essence of linear algebra", a must see
Absolutely needed! This is incredible keep it up!
Great stuff! I wish I’d seen this 20 years ago but I’m happy to have found it now. Thank you 🙏
Good video and a nice refreshment of 8-9th grade school math and the usecase of dot product was interesting, it help a lot.
A little advise: Next time try to move the canvas a little bit less often, cause move it every second is a little bit take attention from the important stuffs at least for me. Also a little bit less correction on the writing, no need to be perfect shape letters/numbers on canvas, we can read it :)
Hey guys, i just started programming and this 2d/3d math is really scaring me.
i'm not higly intelligent but i'm defenitly not stupid.
Were you guys scared in the beginning aswell and did the knowledge come over time?
normal math can scare me aswell :P
Any good tips or courses ?
When I was noobier, I almost always forgot to normalize vectors before dot operation. When for some reason normalization not needed, put both vectors at world center first.
Polygon normal still need to be normalized too, because there are possible situations where it's not length of 1… I had that in Houdini, though it's rare.
Also I've found trick in Unreal Engine, casting Rotator to Vector returns normalized vector.
I consider myself a bit of an intuitive and clever scripter, but I never did get any formal education in higher or specialized maths. Thanks for helping me brush up a bit!
its the god, the myth the creator of shader forge... WOW and im here trying to understand how fernsel works so i can make a freaking shield barrier.......................
The algorithm sent me here 2 years late - subbed within 30 seconds. Vector math is important to AI as well.
Thanks for this piece of masterclass!
Я новичок на канале, это мое первое видео. И я думал, что она прячет какой-то сюрприз, а потом спустя час просмотра понял, что это за сюрприз, и кто его прячет;D
This is brilliant. Thank you Freya! Love that you're showing all these concepts in context - it's really helpful. Your students are lucky to have you :)
That's a very talkative kitty in the background.
Hey I maybe wrong but seems like I saw u before.
I think I saw u in Hyderabad, India for IGDC.
It's more than 1.5 years so I might be wrong. But your Name and face is what I can recall a bit.
Where did you buy the vector toy?!
I made it myself
impressive content! Thank you very much!
Let me ask, have you some material on how to calculate, not the distance between vectors, but the projected distance in some specific axis?
@@buffstavofring2755 In order to do it in Unity, so we must get the angle of the vector related to the target axis and its length, then it will be a sin / cos standard math.
I was wondering if Unity, C# API wouldn’t have functions to get it straight.
WE NEED a "riight?" count in this video huauhahu
This kind of content for free it is almost a sin or a cos 😀
By the way, why math? Without math you couldn't make videos available on youtube, our civilization was just not possible. Math is the best approximation we have of reality.
Beautiful girl
that's a guy
i know all of this but it was good to remember lol, ty!!
43:10 spelling backwards, i vibe with this so much xD
Mathematics is the attempt to describe things in a repeatable way. That's always been my go-to. It fits especially well with EECE.
This was great! I just implemented some code in this submarine simulation prototype I'm working on that gives me the subs speed... I basically found someone else's code and was able to duck-tape their code into my game, but I had no idea how it worked after I got it working... now everything makes sense to me and I'm thinking about things I can do with Math I never thought about before!
rgb is xyz - I did not realise that and as you say, it now seems so obvious. It has been right in front of me.
58:03 Most mathematicians I know try to avoid this type of confusing notation by using different letters on top of using different font. You can't really name your variables in math like you can in coding because something like abc could be a variable in coding but in maths this could mean a times b times c which would only make things worse. I'm studying maths at university btw so I do know a few mathematicians. What I have noticed is that this kind of confusing notation can come up often in physics papers and text books and those can be super annoying to decypher
Took a Vector Calculus course in my college Computer Science program almost 30 years ago. Got an A -- then somehow forgot almost everything. This video brings back good memories. Thanks for the memories.
you're really underrated, You should get more Subscribers!
I'm living for Hugo's yowling,but also your explanation of math for game devs, but we all know I got here by searching for Hugo.
I just can't thank you enough.. All the love from Morocco, princess
transwoman from that bunch of gravel and clay across the sund here, I had to quit trade school (electrician) due to the predominantly male students being awful and threatening to me
game development is my life long dream and an absolute brick wall, your video on bezier curves was amazing. You inspire me and you are a huge help in brushing off and polishing my highschool maths. I am planning to qualify for studying physics at university by august but until then I decided to program as much as I can with gamedev as a focus.
That RGB = XYZ stuff was very clever and cool
Yeah I remember back in Unreal Tournament 3 days, I wanted to see how materials done and wtf are these yellow-green-red-black squares everywhere. Few month later I realized it's UV texture coordinates, and it was vector field. It was first time I learned where vectors are used.
watching you first thing I learned is to be calm when studying math . because before everytime I do it feels like going to war. Great video ^^
" Slaps roof of circle - or something "
Finally understood normalize. And also this math is not limited to unity but can be applied in any game engine 😁
I know it's a 3 year old video, but I noticed every time you had a problem with the document "locking" Photoshop's auto save kicked in. Or you also did ctrl-s before you open/closed the document. Perhaps that's the issue with the document locking? The software "froze" any edits while the harddrive/software was doing it's thing? I've never seen photoshop ever lock a document before so your experience with it was shocking to me. The other option I thought was maybe some key combination did it, but searching the default hotkeys there isn't anything that would "lock" a document. Either way, thank you for the informative lecture.
I have always hated math and always said, "That's why I work with computers, I let it do the math for me." But the few talks and lectures I have seen of you have slowly started to change my mind and I can see the beauty of it. I believe you once said something to the effect of: most people's experience with math are from being taught by people who love it and assume the people listening to the lecture have the same feeling so they never represent it in a way that catches the other person's attention. I can say you have opened up the world of mathmatics like no other person has for me. Thank you. You've shown me how you view the world in regards to mathmatics and I agree. It can be a beautiful and interesting thing. It's no longer some abstract thing of knowledge I only had to learn to get my diploma.
2:14:40 as far as I know on modern processors the square root does not cost more than other operations, at least not enough to ever matter in game development
2:05:15 I want that
lmao, so does everyone
Oh man, went down the rabbit hole of your escapades with 3D modelling/printing them on Twitter. Completely forgot how I got there. I see you're sold out, is there any way I could purchase the stl files instead?
Alright, back to work...
you are so beautiful
🥰
I almost began to cry at how helpful this is. the fact that you started with the basics makes this so so so very friendly and intuitive, i can’t even put my gratefulness into coherent words. thank you infinitely.
Thanks for youtubeing this. Really. Maths look really scary and your way of explaining them makes them easier and approachable. Not many teachers achieve this, ever.
This is soo good. I cant even exaplain to you how useful I found this. I came with 0 knowledge of 2D/3D vector maths, it was always monkey see monkey do. But now I actually understand them. Thank you so much!!
not even a game dev im just using this to study for precal lmao
Thanks Freya for this amazing tutorial series !
Tau? How dare you.
All jokes aside, wonderful video.
I'm taking a break from college after being somewhat burnt out on studying maths. But Something like this could get my enthusiasm up a bit. Just seeing your title piqued my interest.
Just want to echo what others have said, after years doing 3D artwork and recently trying to learn VEX for Houdini, but not fully understanding vector maths, it's now really clicked after watching this. Just brilliant! Your style of explaining is fantastic. Thank you. Really looking forward to watching all your content.
I didn't know you made shader forge, that was a great tool!