WOW! as someone who absolutely loves math, never before have i played an adofai level this unique and awesome to play. i managed to figure out everything by myself except the last three questions, and you can probably find my notes somewhere in RDL, lmao. this was some of the most fun i've had in a while, and y'all COOKED with this level. GG!!!
Oh these questions look HORRID. Amazing job all of you. ...Was this supposed to be a rhythm game again? You guys really pushed the limits of ADOFAI here which is insane
@@cyanadofaithen you should see what people do with the Geometry Dash level editor. Uno, Chess, Super Meat Boy, I Wanna Be The Guy, Celeste, Mario Kart and many more original minigames; platformers, racing and puzzles.
Challenging questions from across mathematics, maze-like mechanics, and forcing me to learn what a contour integral is; absolutely amazing job from all contributors involved! To be fair, I did complete it illegitimately because I kept pausing to write things down and explain what I was doing, but I did end up completing the level without a calculator (or watching this video), so I guess it balances out? My favourite part has got to be the complex analysis portion. I mean, large power modulus exponentiation, eigenvalues, and an excuse to talk about the most beautiful equation (related: the cis f'n aka Euler's formula)? Yes! So much yes! Ahem, anyway, I was wondering if I could get permission to post a reaction/explanation video on this chart. I'm asking because I don't want to infringe on the turf of you or any of the other contributors in the case that someone decided to upload an addendum explaining the solutions, as alluded to in the other comments. Anyway-anyway, I could not stop praising this level if I tried, especially for making me appreciate my least favourite Neo Cosmos mechanic; pathfinding.
woah, thanks for the long praise! really appreciate it! (and dont worry about it most people probably write down the answers from the video) yeah, anyways people did upload their version of the solutions for their respective parts, but making your own version is totally fine! please reply back w/ the link if you ever make it, id love to see it!!
This was actually really fun to play through! Despite my… rough experience with math, gave it a shot. I got through geometry without much trouble, and despite not knowing basically anything about calculus I managed to pass it with 1 strike left! Turns out most of the questions were possible with next to no knowledge of calculus. Complex analysis though… I figured out the first question then brute forced every other answer by collecting every coin… it was quite tedious. I really wish there to be more custom levels like this.
great to hear! geometry is comparatively pretty basic calculus, we went for a more "time attack" kind of approach, with easier questions and shorter time limits complex analysis . gg on completing!!
I'll have you know I had to look up the residue theorem in order to do this, are you happy? God it's been a while since I had to do complex analysis, I learned it in college and then promptly forgot it entirely. Had a lot of fun with these questions, thanks for making this. Who knew that the intersection between math nerds and ADOFaI fans was non-trivial?
With GD 2.2's platformer, and a few Geode mods, I plan to make this as a Geometry Dash level. Back in 2.1, I made a level of Function Phantom's "Algebra"... and I picture a Collect N level being a Mk II of that level. Granted the way some of the questions look will have to be changed to compensate for how GD handles images, I'm certain I can make it work.
GD Port is Uploaded! 108758779 is the level ID. CyanAqua, thanks for wishing me luck on the port. While yes, I did have to change a couple of the questions, one during Geometry, the other during Complex Analysis, the level still turned out pretty well.
@@cyanadofai XD it really is lmao. Anyways, ive been kinda wondering. Could me and a few friends make an EX version of this level? (Same mechanic, just harder subjects)
@@cyanadofai Thanks! Me and a friend currently got the first section done (Trigonometry) The 2nd question is a bit buggy, as its not letting us set just 1 answer, instead of the normal 2. But other than that, development is going great!
Tutorial 2: Collect n 🪙 and m ⭐ n = 7 - 4 m = sinπ Method: This is how the levels are going to be from here on out. Math questions that you answer by collecting the exact amount of items that answer the questions correctly. Give the wrong answer and you'll be hit with a strike. 3 strikes, you're out. Have fun! 7 - 4 = 3 n = 3 sinπ = 0 m = 0 *Answer:* This means you must collect exactly 3 coins and 0 stars.
Geometry 1: Collect n 🪙 n = Area of △ABC Side BC is 4 units long Side AC is 2√3 units long Side AB's length is unspecified Angle ACB is 60° wide Method: Area of triangle = (Base × Height) / 2 We will set AC to be the base. Base = 2√3 The height can be found using BC via trigonometry. Height = 4sin60° = 4 × (√3 / 2) = 2√3 Area = (2√3 × 2√3) / 2 = 12 / 2 = 6 n = 6 *Answer:* 6 coins.
Geometry 2: Collect n 🪙 and m ⭐ n² + m² = C² (C ∈ ℕ) Method: This is the Pythagorean Theorem in its most basic form, in which the area of the square whose side is on the hypotenuse of a right triangle is equal to the sun of the areas of the squares of the other two sides. The most well known combination is 3² + 4² = 9 + 16 = 25 = 5² If we plug 3 and 4 in either n or m, it will fulfill the requirements of the result being the square of a natural number. (In this case, C = 5, so C ∈ ℕ proves true.) *Answer:* 3 coins and 4 stars or 4 coins and 3 stars, for simplicity's sake.
Geometry 3: Collect n 🪙 The following is an ellipse with the foci F and F'. n = length of the semi-major axis of the given ellipse. The ellipse has a 2 units long minor axis. F = (√3, 0) F' = (-√3, 0) Method: The ellipse is centered at the origin (0, 0) A horizontal ellipse centered at the origin has (±c, 0) as the foci. Here, c = √3 In an ellipse, where a and b are the lengths of the semi-major axis and the semi-minor axis respectively, c² = a² - b² b = 2 / 2 = 1 Substitute n for a due to n being the semi-major axis length. (√3)² = n² - 1² 3 = n² - 1 n² = 4 n = 2 *Answer:* = 2 coins.
Geometry 4: Collect n 🪙 The following is a hemisphere and a cone with a common base. The center of the base is point A. 9πn = Total volume Radius of hemisphere = 3 Height of cone = 3 Method: Area of hemisphere = (4πr³ / 3) / 2 = 2πr³ / 3 Area of cone = πr²h / 3 Radius of common base = 3 (because hemisphere) Total area = 2π(3)³ / 3 + π(3)²(3) / 3 = 18π + 9π = 27π 27π = 9πn n = 27π / 9π n = 3 *Answer:* 3 coins.
@@name-equals-theLucidLibrarian the pythagorean triples n and m are whole numbers by default so n m c 0 1 1 1 0 1 3 4 5 4 3 5 6 8 10 8 6 10 ...etc however, (n,m) = (1,0) and (n,m) = (0,1) dont work because of the pickup placement forcing you to get at least 2, and (n,m) > (8,6) doesn't work because of the amount of the pickups so you're left with only 3 answers, one of them being 3 and 4
it took like 10 attempts i was originally going to go for a pure perfect-ish run but eventually decided to give up on this one (got question 10 wrong but oh well)
i doubt thats true actually question 2 and question 11a are much easier, easily solvable with a few elementary operations and exponent manipulation not to mention the pathfinding required for q7 even if you manage to quickly solve the 3 questions, as you need to grab exactly one star and no coins while picking up every heart
what a fun song to make! wish i knew how to solve the answers!
thank you for making the music! 7 minutes is crazy
crazy? i was crazy onc-
@@cyanadofai do not.
ALL ABOARD THE CRAZY TRAIN!
@@cyanadofai they locked me in a room with rikri
@@m1n3c4rtand rikri made me crazy
crazy? I was crazy once
even hello bpm 2023 looks less scary than this, nobody on earth have ever reached this degree of sadism.
i love it.
>:) moment
WOW! as someone who absolutely loves math, never before have i played an adofai level this unique and awesome to play. i managed to figure out everything by myself except the last three questions, and you can probably find my notes somewhere in RDL, lmao. this was some of the most fun i've had in a while, and y'all COOKED with this level. GG!!!
tysm!! glad to hear you enjoyed it
What is rdl? I'm guessing its Rhythm Doctor Longue but I might be wrong.
@@Lemony123 its rhythm doctor lounge
I'm pretty sure you're in the deepest layer of Hell after making this level. No way I'm solving all the math problems-
sending all of you to Math hell with me
Oh these questions look HORRID.
Amazing job all of you. ...Was this supposed to be a rhythm game again? You guys really pushed the limits of ADOFAI here which is insane
haha thank you!
always fun to experiment and find out what you can do with given editor features
@@cyanadofaithen you should see what people do with the Geometry Dash level editor. Uno, Chess, Super Meat Boy, I Wanna Be The Guy, Celeste, Mario Kart and many more original minigames; platformers, racing and puzzles.
@@AndreiAyanDiscultuapparently variables are coming to adofai soon so it's probably not that far off
Challenging questions from across mathematics, maze-like mechanics, and forcing me to learn what a contour integral is; absolutely amazing job from all contributors involved!
To be fair, I did complete it illegitimately because I kept pausing to write things down and explain what I was doing, but I did end up completing the level without a calculator (or watching this video), so I guess it balances out? My favourite part has got to be the complex analysis portion. I mean, large power modulus exponentiation, eigenvalues, and an excuse to talk about the most beautiful equation (related: the cis f'n aka Euler's formula)? Yes! So much yes!
Ahem, anyway, I was wondering if I could get permission to post a reaction/explanation video on this chart. I'm asking because I don't want to infringe on the turf of you or any of the other contributors in the case that someone decided to upload an addendum explaining the solutions, as alluded to in the other comments.
Anyway-anyway, I could not stop praising this level if I tried, especially for making me appreciate my least favourite Neo Cosmos mechanic; pathfinding.
woah, thanks for the long praise! really appreciate it!
(and dont worry about it most people probably write down the answers from the video)
yeah, anyways people did upload their version of the solutions for their respective parts, but making your own version is totally fine! please reply back w/ the link if you ever make it, id love to see it!!
This was actually really fun to play through!
Despite my… rough experience with math, gave it a shot.
I got through geometry without much trouble, and despite not knowing basically anything about calculus I managed to pass it with 1 strike left! Turns out most of the questions were possible with next to no knowledge of calculus.
Complex analysis though… I figured out the first question then brute forced every other answer by collecting every coin… it was quite tedious.
I really wish there to be more custom levels like this.
great to hear!
geometry is comparatively pretty basic
calculus, we went for a more "time attack" kind of approach, with easier questions and shorter time limits
complex analysis .
gg on completing!!
There are two ways to play this level:
1. nerd out and suffer with the math
2. write down the answers from this video
number 2 is the intended solution
@@cyanadofai I had a slight feeling that it was.
But sending this level to a friend is a great way to test your friendship!
I'll choose number 2, I'm not trying to solve this
@@pisti06lmao
@@cyanadofaiI don't think question 10 was even solved correctly in this video 😭
I'll have you know I had to look up the residue theorem in order to do this, are you happy?
God it's been a while since I had to do complex analysis, I learned it in college and then promptly forgot it entirely.
Had a lot of fun with these questions, thanks for making this. Who knew that the intersection between math nerds and ADOFaI fans was non-trivial?
youre welcome :)
With GD 2.2's platformer, and a few Geode mods, I plan to make this as a Geometry Dash level. Back in 2.1, I made a level of Function Phantom's "Algebra"... and I picture a Collect N level being a Mk II of that level. Granted the way some of the questions look will have to be changed to compensate for how GD handles images, I'm certain I can make it work.
good luck porting!
@@cyanadofai Thanks! I'll send the GD Level ID here after it's done, verified, and uploaded.
GD Port is Uploaded! 108758779 is the level ID. CyanAqua, thanks for wishing me luck on the port. While yes, I did have to change a couple of the questions, one during Geometry, the other during Complex Analysis, the level still turned out pretty well.
As an honors algebra I student, gotta love this level.
(Especially the part where I memorize all the answers and play it in class lol)
lmao??? thats awesome
@@cyanadofai XD it really is lmao.
Anyways, ive been kinda wondering.
Could me and a few friends make an EX version of this level?
(Same mechanic, just harder subjects)
@@JrTheOctoling1319 sure!
@@cyanadofai Thanks!
Me and a friend currently got the first section done (Trigonometry)
The 2nd question is a bit buggy, as its not letting us set just 1 answer, instead of the normal 2.
But other than that, development is going great!
Just realized the path in the interlude before the complex analysis section are √s
yess
"A math based level? This is just gonna be those sections in T3-X all over again!"
*starts with Side Angle Side area of triangle*
"Ah shit...
me when the ½ab · sinC
I didn't even know the formula for it 😢
But now i know 🌝
THIS IS SO COOL!
i understand absolutely nothing but i really appreciate all of the.. everything! it's insane!
haha thanks!
-good opportunity to get into math am i right-
From the *FIRST TUTORIAL.* I am already amazed.
the visuals are so nice to look at
thank you! it took quite a bit to get everything looking correct
this isn’t math… this is hell
poor little balls
"rhythm" hell
7:30 I'm confused on what C is supposed to represent. Why is it in the bounds of the integral? Also the level was fun.
C represents the curve (in this context, the unit circle) and basically says "integrate within the bounds of the curve"
student: where we gonna use this in life
math teacher:
most important irl math application
Wow
Finally my 18 years of education coming into use
'school subjects aren't useful in real life' people be like:
WTF.... lol
This is a unit I'm currently learning, so I think I'll have fun doing it.
let's go collect n is out!!!!!!
(six times factorial)
the n double factorial
T3-EEEEEX No Solve!! lmao
overseer if they made t3-x:
@@cyanadofaithat would just be the math parts, the rest would be that evil in some other way
@@cyanadofaiomg somebody should make that
ooh, I'm looking forward to suffering on this tomorrow when I get to play! Will let you know the results in due time lmao
haha good luck
@@cyanadofai Update: I gave up at question 3. Congrats, the timer was too much for me to handle lmao
I'm just gonna write them down on a piece of paper and solve them without the timer and see what I get right lmao
6:38 WHAT
@@eve_the_eevee_rh lmao
i do a lil trolling :)
아이디어가 좋네요 ㄷㄷ
this feels like if an SAT test or something was a game
true!!
ngl, this should be part of the curriculum.
ok ik we've been waiting for this for eons and stuff but my simple brain thinks this is disgusting lmao
correct!
I was so confused when I saw x^2 + 4 = 0 but then I FINALLY saw that the y axis was imaginary numbers (i)
lmao
1:52 Does 8 coins and 6 stars work?
yes it does
*⚠️⚠️SPOILER WARNING⚠️⚠️*
ANSWER IN REPLIES.
PLEASE PLAY THE LEVEL BEFORE OPENING REPLIES.
Tutorial 2: Collect n 🪙 and m ⭐
n = 7 - 4
m = sinπ
Method:
This is how the levels are going to be from here on out. Math questions that you answer by collecting the exact amount of items that answer the questions correctly. Give the wrong answer and you'll be hit with a strike. 3 strikes, you're out. Have fun!
7 - 4 = 3
n = 3
sinπ = 0
m = 0
*Answer:* This means you must collect exactly 3 coins and 0 stars.
Geometry 1: Collect n 🪙
n = Area of △ABC
Side BC is 4 units long
Side AC is 2√3 units long
Side AB's length is unspecified
Angle ACB is 60° wide
Method:
Area of triangle = (Base × Height) / 2
We will set AC to be the base.
Base = 2√3
The height can be found using BC via trigonometry.
Height = 4sin60° = 4 × (√3 / 2) = 2√3
Area = (2√3 × 2√3) / 2 = 12 / 2 = 6
n = 6
*Answer:* 6 coins.
Geometry 2: Collect n 🪙 and m ⭐
n² + m² = C²
(C ∈ ℕ)
Method:
This is the Pythagorean Theorem in its most basic form, in which the area of the square whose side is on the hypotenuse of a right triangle is equal to the sun of the areas of the squares of the other two sides.
The most well known combination is 3² + 4² = 9 + 16 = 25 = 5²
If we plug 3 and 4 in either n or m, it will fulfill the requirements of the result being the square of a natural number. (In this case, C = 5, so C ∈ ℕ proves true.)
*Answer:* 3 coins and 4 stars or 4 coins and 3 stars, for simplicity's sake.
Geometry 3: Collect n 🪙
The following is an ellipse with the foci F and F'.
n = length of the semi-major axis of the given ellipse.
The ellipse has a 2 units long minor axis.
F = (√3, 0)
F' = (-√3, 0)
Method:
The ellipse is centered at the origin (0, 0)
A horizontal ellipse centered at the origin has (±c, 0) as the foci.
Here, c = √3
In an ellipse, where a and b are the lengths of the semi-major axis and the semi-minor axis respectively,
c² = a² - b²
b = 2 / 2 = 1
Substitute n for a due to n being the semi-major axis length.
(√3)² = n² - 1²
3 = n² - 1
n² = 4
n = 2
*Answer:* = 2 coins.
Geometry 4: Collect n 🪙
The following is a hemisphere and a cone with a common base.
The center of the base is point A.
9πn = Total volume
Radius of hemisphere = 3
Height of cone = 3
Method:
Area of hemisphere = (4πr³ / 3) / 2 = 2πr³ / 3
Area of cone = πr²h / 3
Radius of common base = 3 (because hemisphere)
Total area = 2π(3)³ / 3 + π(3)²(3) / 3 = 18π + 9π = 27π
27π = 9πn
n = 27π / 9π
n = 3
*Answer:* 3 coins.
Dlc맛 듬뿍
This is literally just Kahoot. A better Kahoot.
This is one of the easiest and simultaneously the hardest levels
maths
this is actually scary
On question 2, What does the double-lined N mean?
the set of natural numbers
@@cyanadofai oh lol
So why are the answers 3 and 4?
@@name-equals-theLucidLibrarian the pythagorean triples
n and m are whole numbers by default so
n m c
0 1 1
1 0 1
3 4 5
4 3 5
6 8 10
8 6 10
...etc
however, (n,m) = (1,0) and (n,m) = (0,1) dont work because of the pickup placement forcing you to get at least 2, and (n,m) > (8,6) doesn't work because of the amount of the pickups
so you're left with only 3 answers, one of them being 3 and 4
@@cyanadofai What is/are The Pythagorean Triples? I'm too lazy to search it up lol
My grandma who’s a math professional she couldn’t solve these because google lens translate is a steaming pile of garbage
google translate do be like that
Are these questions from Harvard?
nah these all handmade by our team
So, what if this wasn't an ADOFAI level, but a whole damn game on it's own.
*Baldi's Basics*
Гений😶🌫️
Very hard overall
thank you! :)
만약 이 레벨이 LOTY에서 수상되고 추천 레벨에 등재됐다면...
오히려 좋아
HOW DOES THIS MAKE SENSE?‽!
math
This is definitely a 21.3+ I swear
only 1% can beat this level
문제가 너무 어렵다
대학수학 ㄷㄷ
@@cyanadofaibad
bro really put in sinπ in a rhythm game 💀
this is adofai
the editor basically thrives on trig
i think i just reached a new level of rage previously thought unimaginable. why would you do this
harder than xo-x tbh
imagine someone cursing this by making so the problems instead of being normal problems, they are math hardest problems
solve the collatz conjecture
Imagine Using physics problems instead of math 💀
please tell me there is a .zip file for this absolutely beautiful level. This level looks so much fun and i bet i'll have even more fun playing it!!
might upload sometime
@@cyanadofai Well thanks! Now i have something to look forward to!
I am scared of this level 💀💀💀
i beat this with no help lol
good job
А ты во время игры что ли решал? Сколько попыток ушло?
it took like 10 attempts
i was originally going to go for a pure perfect-ish run but eventually decided to give up on this one (got question 10 wrong but oh well)
i need a nerfed
no >:)
(maybe??? probably not)
Why.
face smiling with 3 hearts
Why.
@@cyanadofaithen find the area of 23/24 of all three hearts
А говорят, математика в жизни не пригодится
Fun fact, sin(pi)=0 I guess?!
Wait, if your name is pi, you can’t sin!!!!
what
Think about it!
Fun fact: everything in this video is rounded to the nearest whole number, as sin(pi) = 0.055...
@@Swix_._. lol
@@Swix_._. i have no idea where you got that answer, but sin(pi) = 0
draw a unit circle and you can obviously see why that is the case
questions 1 and 7 are probably the easiest
i doubt thats true actually
question 2 and question 11a are much easier, easily solvable with a few elementary operations and exponent manipulation
not to mention the pathfinding required for q7 even if you manage to quickly solve the 3 questions, as you need to grab exactly one star and no coins while picking up every heart
@@cyanadofai aaaaa i forgot q2 existed thx
*oh god-*
at this point this isn't even a rhythm game lol
truee
Im still in algebra but Im not ready for this Help 🥲