Cannons that Never Miss

[@genericuser5523]

Imagine trying to describe the end to someone

[@canter1ter]

-...And then the fish shoot the kangaroo head in its mouth and destroy it! -Wow, thats so interesting! Anyway, my friends are here, go meet them! -Hi guys! Why are you in medical gowns? -We're from the Psychiatric medical facility №69, come with us please.

[@youraveragerobloxkid]

WE ARE THE KANGAROO OVERLORDS, SURRENDER NOW YOU BASTAARDS

[@abyssalAnnihilation]

easy just show them the previous bit

[@abyssalAnnihilation]

i am very smaAarT

[@Halcyon_Daysed]

I gotchu: “if you know you know 😉🧐😅”

[@yoshiiscool4645]

"And our fish only have a single cannon to defend themselves" I think you forgot the fact that the cannon has maxed reload and firing speed

[@mantask.9688]

when you forgot your minigun so you use the next best thing

[@addisonchow9798]

@@mantask.9688 If you think about it, this is a CIWS. Which is a point defense mini gun.

[@mantask.9688]

@@addisonchow9798 jeez i wonder if they got 2 laser guns

[@addisonchow9798]

@@mantask.9688 I don't think their current power source could support 2 lasers. They need to research a better power source before doing so. I think a rail gun that shoots like a shotgun is a good counter to the boomerangs. I think the ship shoots a plasma bolt like a star wars laser. A real laser would be invisible to us and we'd only see the turret turning and boomerangs exploding. Not sure why the kangaroos never bothered to invest in multi warhead boomerangs that split up with decoy boomerangs released.

[@seventhspud]

@@addisonchow9798 they spent too much on the paint job

[@Hyraethian]

As a kid, "Why would someone buy seventy bananas?" As an adult, "Ah yes, the alien kangaroos."

[@hb97]

😂

[@ashtimbog]

what does this mean

[@ShigadyShigadyShwey]

@@ashtimbog As a kid "These examples used in maths problems are silly, no one buys seventy bananas." Yet now as adults "The example used in this maths problem is alien kangaroos, of course, makes sense."

[@BusinessWolf1]

XD

[@DipUniversal]

Perfect sense, I find no flaws in this logic!

[@youraveragerobloxkid]

The most amazing thing about captain blubber is not the fact that he defended the empire's hellfire, nor the fact that he found a way to make his cannons into gatling guns, but how he got so many cannonballs on that dinky little ship

[@duck-cc4qu]

his crew makes them pretty fast

[@Dextuctivail]

his crew makes? crew makes. crewmakes. crewmates. among us

[@AssistantCoreAQI]

​@DroneVaporized Holy Hell.

[@frankyboy8513]

​@@Dextuctivail sussy 😳

[@fiveninenowNOW]

@@Dextuctivail JELLY BEAN POWER, ACTIATE

[@alexanderjones419]

You can’t say you can skip to 1:54 for no math and then show 2 million basketballs go in the hoop at a similar time without expecting me to go back

[@Bomba.02]

First example: yeah, very easy, very common, can be seen everyday (cannon aside) Second example: okay, not as common nowadays and a bit more complex to do, but still “realistic” (extreme cannonball barrage aside) Third example: W H A T I’m worried by how he’s using a present example (basketball), a past example (pirates and ships battle) and a supposed future example (the space kangaroos). Can you see the future and are you trying to warn us of what we’ll be facing? Our overlords?

[@attyy]

well if you think about it, the third one is actually a present example as well. missile defense systems today likely run off something similar to what was described here.

[@yoavravid7893]

@@attyy probably the 2nd and the 3rd

[@aberrantreptile]

As someone who lives in the land of kangaroos: you should be very afraid.

[@Dubbo9876]

@@attyy I too am from the land of kangaroos and if it wasn't for our fishy friends we wouldn't have made it this long

[@martymoomcfarty]

"You see, there are these space kangaroos, and they are fighting a few space fish, and-" "Are you on meth?"

[@gamerofgaminggames636]

I'm a calculus tutor, and I'm going to use these videos to teach my students! Very well done!! I love your incorporation of fundamental physics and mathematical concepts in complex applications. Excellent animation as well. I look forward to seeing what you do next!

[@youtubeuser206]

So in other words you're a professional 🤓??

[@thesun5275]

may need some *slight* censorship because of the single use of "fuck it"

[@gamerofgaminggames636]

@@thesun5275 meh, I tutor mainly high school and college students, so I’m sure they won’t care

[@wb7551]

Ur a tutor? Ur named gamer of gaming games bruh

[@gamerofgaminggames636]

@@wb7551 yeah, outside of education I like games! The duality of man

[@LammonYT]

I found you off your bloons video and that video had quality. And now I just finished this quality video. Keep up the great work!

[@Trinity_Ghoul]

I hope this channel grows to millions of subs. So much effort put into these videos

[@b2stud]

I absolutely love making them

[@mitlanderson]

@@b2stud got a patreon yet mate?

[@b2stud]

@@mitlanderson I don't

[@EntergeticalakaBot]

@@mitlanderson well guess what

[@mitlanderson]

@@EntergeticalakaBot oh?

[@RandomDucc-sj8pd]

7:51 I love how the turret just flails around firing like a god

[@overloader7900]

The music makes it even better

[@supremechaosbeing2696]

Firing like a god? New deity: anti-boomerang cannon

[@ianrzep9011]

This is footage of point defense in Stellaris

[@xxizcrilexlxx1505]

@@overloader7900 btw what is the song?

[@RandomDucc-sj8pd]

@@xxizcrilexlxx1505 asgard by freq36

[@WordUser]

Somehow I watched 8 minutes of math without feeling exhausted afterwards, nice

[@不只是谁所无名找小二]

Thid is how you know it's a good video

[@karlcole5617]

i gain strength from math

[@aidanowen426]

I’ll be honest, I forgot who you were but I’m glad KZbin notifications reminded me

[@b2stud]

glad I could remind you :P

[@MochiClips]

Really liked how you broke down the solving of higher order polynomials!! I was trying to figure out how you guarantee finding a solution but differentiating it is clever! 🔥 10/10 will watch again

[@b2stud]

I'm glad you enjoyed it!

[@augustschjttkramshj6919]

This has to be one of the coolest videos i have ever seen! Cant believe you dont have a bigger audience. Im really intrigued by simulations like this, especially with AI like the one you showed in the other video with the fish that had to survive. Can i ask how or where you make those? I would like to try to make some myself. Thank you

[@b2stud]

I make most of it in Unity, which is a game engine but it's extremely flexible. Thanks for the praise!

[@bbbbbbbbbb5687]

I like how this is actually something that could be practical. Great video for explaining the uses of solving quadratics+ and some cool motion stuff.

[@b2stud]

glad you liked it!

[@Funnymoney101]

This is like the the third time I've watched this and I JUST noticed that the hoop is destroyed by the explosion at 0:42

[@zan1971]

Wow not only did you explain math in a way that is easy to understand, you have great animation abilities as well and obviously coding knowledge. You're going places man.

[@himabimdimwim]

The last 50 seconds were an absolute cinematic masterpiece. On a more serious note, I love these education videos and the fish people!

[@Weezytrout101]

Genuinely curious; you state that a general equation for solving for the unknown variable (t) only exists in polynomials that have 4 or less degrees. Why did you reduce your 6th degree polynomial all the way down to the first degree? Why not settle for those general equations of the 2-4th degrees? Additionally, is it quicker to reduce it all the way down to the first degree or is it computationally quicker to not take the derivative 5 times?

[@b2stud]

its definitely possible to stop at the 4th degree or the 3rd even, but those formulas are extremely long. The 4th degree equation has around 100 instances of its coefficients in it, just for one x-intercept...

[@b2stud]

it might be quicker than reducing to the 1st degree, but it's very easy to get the formulas wrong

[@patrickbaker7014]

@@b2stud why not just factorise the polynomials to the point where its trivial to solve via null factor law?

[@b2stud]

@@patrickbaker7014 That's a perfectly fine way of doing it as well, I think the Jenkins-Traub algorithm does exactly that.

[@patrickbaker7014]

@@b2stud Ah ok fair enough, it's just a coincidence that I was teaching myself polynomials a few hours earlier, wanted to see if there was a reason it wouldn't apply lol

[@nytr]

Like how you've put the canons in a way that they are showing smile faces in the air :D nice easter egg 1:42

[@athanflores2067]

Nice egg

[@camwoodstock]

I ADORE the animation in this! This is actually a really good explanation of this stuff, and is very entertaining to watch even if you don't really get any specifics.

[@auillolo]

holy cow that was one of the best videos i've ever seen dude

[@JoseGamingGD]

Facts

[@elliejohnson2786]

The explosion example seemed like a bit of a weird way to explain it at first, but then you explained how powerful it can be.

[@ChesterManfred]

Never enjoyed hideous math problems so much in my life. Those animations were delightful.

[@kjellbeats]

This channel is gonna blow up. Then i can proudly say ive been a sub since your first video 😎

[@delicioushomemadestrawberr8730]

*2

[@kjellbeats]

@@delicioushomemadestrawberr8730 well this would be the third technically, but ive been subscribed since his first video.

[@funnyman7973]

Same

[@ROFL1337PWN]

Pro

[@schnitzelmike727]

same x4

[@brendanhoang7731]

I was not expecting to watch probably the best visualization of calculus I have ever seen. Watching this makes math make so much more sense to me. Thank you

[@bobthedragon3643]

Having come from the present, I find it extremely funny how when the kangaroo overlords run out of space boomerangs they resort not to a technological marvel, but to the classic "raw chicken in salad" gun

[@pietrusso]

This channel is criminally underrated.

[@уронить]

6:52 for anyone who was confused a derivative is the slope of its function at 2 points so infinitely close together they form one point. The reason a derivative’s x-intercepts coincide with peaks and valleys of it’s parent function is because a line perpendicular to the peak of the parent function has a slope of 0, or a horizontal line.

[@o_sch]

"a line perpendicular to the peak of the parent function has a slope of 0, or a horizontal line." *tangent perpendicular would be infinite slope

[@simplysampletext1666]

Ok that ending battle actually was fucking hype as shit. Reminds me of those anime where the mc is waaaay under powered but uses his smarts to out maneuver or out wit the enemy. Fucking banger of a video right here

[@bubbelpop2274]

like a teacher telling a math student that cows are not spherical, i jokingly shouted out "WHAT ABOUT WIND" at 0:33

[@mattybrunolucaszeneresalas9072]

Cows are spherical?

[@blacklight683]

Man, I wish I was as good in physics as much as I love it It's so cool seeing the logic of the formulas being something so basic

[@GarlicGoat]

Decent animation, great explanation, and colorful humor? Yep this is gonna be the few KZbinrs I’ll have my notification bell on for!! Awesome video

[@JappaB]

Honestly when i saw the btd6 vid i knew this channel would be great, but i never anticipated this level of complexity mixed with dumb pirate jokes. This channel is an honest to god gold mine only 3 vids in

[@ouafallouz]

This is genuinely one of the best channels on KZbin.

[@hesterclapp9717]

This channel is so underrated, very funny animations

[@testytester4136]

This video was an absolute educational and comedic masterpiece from start to finish. Bravo

[@AMan-xz7tx]

the video and it's style seem simple, but it's got a lot of subtle details that just pull the whole thing together, great stuff, cant wait for the next video!

[@b2stud]

I appreciate you!

[@TheDroidsb]

I stumbled onto your channel and it’s a freaking gem bro. Just sad there wasn’t more content for me to binge haha. Keep up the good work and I’m looking forward to future videos!

[@b2stud]

Me too! Glad you liked the content :)

[@nemtudom5074]

This man is really good at explaining the boring maths while using cool sciences like trajectories, velocity, and stuff like that

[@turbronator7739]

It's really awesome that you not only created this video, but also provided a white paper that goes more in-depth into the process! Thank you for the great content!

[@visiblur]

You made someone who has hated maths all the way from starting primary school throughout university be entertained by maths. Such a good video and I actually managed to learn something.

[@buzzlightyearpfp7641]

i love the fish returning from the bt6 video. it would be hilarious if these example became recurring little characters/plots for any future videos

[@b2stud]

Seems we think alike my friend ;)

[@toblobs]

*foreshadowing intensifies*

[@gusevgp1417]

Happy your channel wasn’t a one stop spot on btd6, you made an amazing video here and it has boundless potential for more

[@dersuchtie01]

Really awesome video ejoyed watching it you are really good at teaching math hopefully we get to see more videos like this

[@citratune7830]

Hey, I dont know enough about math to understand fully, but I think I got the concept. Keep doing this stuff.

[@someperson53]

Probally the absolute best computer science video I have ever seen awesome work

[@b2stud]

Thank you kind sir

[@zhgbgg]

This is the best channel ever fr fr

[@MrKobus-rz4qy]

This is actual one of the best videos I have seen, great visuals for anyone watching just cuz they want to watch, also funny

[@Shero1337]

Amazing video! Wasn't expecting this to be you're second video, but damn I sure did enjoy it!

[@MrBoubource]

Applied maths engineering student here, loving the content. Where did you learn all this, it is there first time I encounter these formulas written this way ! Keep it up. Awesome graphics too

[@b2stud]

Thank you! If you're referring to the content of the video itself, I've been teaching myself how to make video games (and videos occasionally) for over 10 years now. I even did a degree in it hahaha. I still firmly remember calculus and the equations of motion from college, which helped me figure out the algorithms.

[@MrBoubource]

@@b2stud I was talking about the maths, they didn't teach me these ones lol

[@b2stud]

​@@MrBoubource ah I see. I learned the basic physics equation (s = ut + 1/2at^2) from physics in college. The explosion metaphor or equation was something I made myself. I also came up with the root-finding algorithm myself, although I'm probably not the first person to figure it out.

[@MrBoubource]

@@b2stud I liked the metaphor as well as the algorithm. Good job!

[@MagicGonads]

the physics equation is a direct consequence of newton's first law + integration

[@aqilahmad5962]

bro this channel is underrated

[@ZeroRelevance]

Great video, I feel like I learnt a lot By the way, I’m confused what you meant at 7:21. Do you still aim for one of the x-intercepts of the original graph, just the final derivative, or something else?

[@b2stud]

once you find the x-intercept of the line, you can use that to solve the quadratic, then you can use those x-intercepts to solve the cubic and so on until you solve the original line. The original line's x-intercepts are what you want to find.

[@ZeroRelevance]

@@b2stud Oh cool, that makes sense. Thanks for the reply! As I said, great video, hard to believe this is only your second proper one with how well made it felt.

[@MarcheseDelGrillo]

I'm here from the bloons video and I didn't understand much of anything from the math parts but the visual representation were very cool. I think your channel will bloom with videos like these.

[@brodyatkin3681]

This is fantastic please keep creating you are so good at every part of this! So entertaining!

[@LooseArrowBoy]

Geez Im so impressed with these videos. So many different skills all coming together to make an entertaining video from cannons to AI flailing around. Projects that would have different departments/SMEs working on it all done by one person, very impressive.

[@-FutureTaken-]

Already your one of my favorite content creators

[@maxwolf5832]

This is the best maths educational content I ever seen.

[@PidgonB]

this is some kickass content dude, keep up the great work!

[@DrPsychotic]

This is probably the coolest use of math i have ever seen, just knowing you actually programed an aim bot to defend itself is awesome!

[@xaf05]

Your videos are great and I enjoy watching them even though I’m not very familiar with this complexity of maths.

[@b2stud]

im glad you still managed to enjoy it

[@lmaopew]

The fact, that he was mostly drunk doing this, makes sooo much more sense😂 i love it

[@stanley9653]

I bet you had fun making this video Great vid 👍

[@b2stud]

hahaha I definitely did

[@matiastoledo3689]

This channel is an amazing discovery

[@them3ta_93]

It s truly one of the best content on youtube for me, I love ai, simulations, and stuff like that and your channel is just that, I m really glad I found this, I hope one day I ll be able to code things like you do

[@b2stud]

You definitely will, just stick to it!

[@english_kg7847]

Man, you read this a lot of times. But I want to tell you this personally, I admire your videos, formulas, explanation, models, HUMOUR, graphics and your brilliant mind. I have never been so entertained and fascinated by a KZbin video! Keep it up, your channel is definitely going to blow up!

[@b2stud]

It's always a pleasure to read these comments. I appreciate you!

[@1wisestein]

The explosion model for tracking moving projectiles immediately made me think of Israel’s “iron dome” for intercepting rockets. The explosion model looks like a dome. I would assume they’re using similar maths there?

[@Timmysthirdbirthday]

jackass animation style beloved by ALL. WE LOVE YOU!!!!!!!!!

[@3sjokolade728]

Keep up this amazing work, and your channel might hit the jackpot in the youtube algorithm. Maybe it already has...

[@l8dawn]

my god great video, and the animations are hilarious. taking a robot dynamics/kinematics class rn and this might help tremendously

[@spelavidioterpro4988]

Your videos should be in our physics class

[@itsteekay5573]

Everything about this video is such high quality it’s crazy. Super interesting and full of personality and humour you can tell how much effort went into it

[@Viscidsquare040]

5:21 nah with the fire rate demonstrated at the end by both sides I think they’ll be fine

[@coldkip]

This is one of the best videos I’ve ever saw on KZbin! Congrats!

[@aaronphillips402]

2:32 good old scream

[@royalhyena66]

Just imagine stories of the cannon defense in irl that would be hilarous

[@KStarGamer_]

I’m curious about 7:00 where you mention finding the roots to a certain precision using a binary search method. Would Newton-Raphson not work instead?

[@TheDogn]

This is fantastic. It's like three blue one brown but way more inviting. Like i suddenly feel the urge to go learn everything i can about polynomials.

[@Percutien]

My time spent in calculus is worth it after all, I actually could understand what he talked about.

[@b2stud]

check the description, I made a paper which goes into detail about the concepts

[@Ewr42]

"You can't explain the iron dome with special relativity(light cones/"explosions") without mentioning the iron dome or special relativity " b2studios:

[@NavyDigital.]

1:00 goodbye secondary hoop

[@DecrareOld]

you have 2 completely different videos but I was interested in both and watched both to the end, I didn't know you were the btd ai guy when I watched the video yesterday, I just figured that out now

[@ReadMeinMind]

This was a fantastic vid well done! definitely make more if your not already getting enough praise

[@Encysted]

This is definitely the most engaging way I've seen these topics presented. I love the focus on intuition. It'd be cool if it were possible to help build that intuition from scratch, but it'd lose me almost for sure.

[@jerorgb4269]

8:14 Can't belive i laughed so hard at this thing

[@Tomart0]

This is the exact thing I have in math class rn, but somehow explained much better, despite being in a language I only roughly understand.

[@Noferrah]

tomamto

[@bepis_lord7883]

Look at the back of the boat at 4:46

[@MQWalkman]

This is outstanding. The white paper is great, too. And the maths seems to be extendable to snap, crackle and pop as well - when the interdimensional space wombats attack with hyperangs.

[@courtslee8790]

YES YOU BEAUTIFUL RED FISH!! blow that big fat kangaroo up!!

[@b2stud]

calm down sir

[@JB-iu6dj]

Fish suck, Roos rule

[@TheRyzenfall]

Bro was edging to it 😭

[@gyrdalf2654]

Haha I just finished an assignment for calculating roots using the bisection method in python. Excellent video, keep up the good work!

[@task_failer8223]

5:06 when you die

[@papajones2644]

The scenarios that this man uses to explain mathematical equations and solutions sound something that would really be in a math test. Like "Tom wants to shoot a basketball into a hoop 2m tall and 15m away, find the angle at which to shoot the basketball with Earth's gravity" Like it just makes sense, the third one was especially an example of this.

[@Known_as_The_Ghost]

6:07 oh god This is too complex

[@hugoorrberg9148]

Wow I clicked on the video thinking "yay cannon go bombom" and came out with my mind blown countless times. You sir are my new favourite channel!

[@phancanedoo013]

I know i'm veeeeery late to ask this kind of question, and it may have a very simple answer, but.... How exactly did you animate those 3d-scenes? (including the flat stickmen?) (also, what program for the animations?)

[@b2stud]

I used Unity for most of the animations as well as After Effects for the 2d stuff. The flat stickmen are unity objects with sprites being switched out

[@js9587]

This is INCREDIBLE content for someone's second video. You've got the talent and the wit, keep it up!

[@b2stud]

thank you kind sir

[@Manas-co8wl]

1:29 Uh as if the entire thing isn't math already

[@BobBob-ye4vz]

0:45 the explosion destroying the other hoop is the funniest thing ever

[@Dem_Ar9]

AMAZING

[@fgulensaray]

yo you are a genius.. you also have stupidly PERFECT humor. love the vid