The MONSTER MATH behind Ninjabrain Bot

[@Respear]

What's next? Finding it with no eyes?

[@HeppeGaming]

Actually, I forgot to mention it in the video, but yes, you can find strongholds with no eyes, but it's really slow and boring. kzbin.info/www/bejne/d3Kod5uQeaZ8d5Y

[@kirakirsch8991]

yes: kzbin.info/www/bejne/f3zSXp2oj7iajbc

[@vegegrey1709]

kzbin.info/www/bejne/l4HXp4akgrGgpKssi=RlQeSGG3SDfFs640

[@vegegrey1709]

Check this out instead

[@omoliemi]

kid named divine travel

[@Ceereeal]

so basically, don’t fire a pearl at 45°, or 63.43°, or 71.57°, or 75.96°…

[@HeppeGaming]

Or 90, or 0, or a few others

[@thevalarauka101]

or basically any rational number

[@farpurple]

​@@HeppeGaming 45 is not a problem if you not shooting it from corner?

[@khiemgom]

@@thevalarauka101 actually any angle whose sine or cosine is pretty rational

[@ReijiGazpacho]

@@farpurple 45 + not from corner would imply the eye never hits a corner which, given the rules stated, is impossible

[@hydropage2855]

Dude I paused and carefully read the paper, and I just finished a semester of college where I studied discrete mathematics and some statistics, and I UNDERSTAND THE PAPER. This feels amazing

[@JustAltoid]

I'm so happy the recent world record was mentioned, npc wandering mode is such a valuable strat that needs to be showcased more!

[@ilikecreeper331]

I tried the strat and I finished the game in 9:59:59.999 ! Idk why the timer stopped increa after a while but I beat the game so quickly with that strat!

[@spiritedparkour]

@@ilikecreeper331 wow, that's so impressive. I actually got a 9:59:59.998 though so :D

[@ilikecreeper331]

@@spiritedparkour No way! That’s got to be the world record

[@spiritedparkour]

@@ilikecreeper331 haters say timer malfunction but we all know it's about practicing the strat

[@ilikecreeper331]

@ based

[@sharpieman2035]

At 3:25, it is not that the stronghold has to spawn under a single biome. It is that only certain biomes are considered as valid to be spawned in. If the stronghold generation is in an invalid biome, it will attempt to select a different chunk within a square of the location. If it fails, it says in the same spot. This changes the distributions of strongholds slightly, I think the paper explains the impact on distribution this has.

[@skilledissues-hh7dk]

'go to school, it makes you better at minecraft' - Technoblade edit: everyone, lets be honest. absolutely NOONE undestood that video including me, which is actually funny to me because i clicked this for no reason knowing im just gonna sit with my mouth open

[@ItsKienu]

4:32 NO WAY IT'S THE ACTUAL MINCERAFT LOADING SCREEN!!! THAT'S ABOUT 1 IN 10000 CHANCE TO HAPPEN!!! yes, you read it good, minceraft

[@RadioactiveBluePlatypus]

o7

[@AthenaSSBM]

math for the blood god

[@skilledissues-hh7dk]

@@AthenaSSBM i wish i listened to technoblade i had absolutely no idea what this video is about 💀

[@Antifrost]

I mean, I was a math major in college so most of this video was fairly understandable.

[@thacium]

I never would have thought I would use knowledge from statistics class to calculate coordinates in a block game.

[@AntoLne]

I love how you say Boat with a capital B

[@Koszu_ez]

miasto łódź jebac

[@X4R80]

8:58 in bedrock it’s even easier you throw a pearl and run until you find a village done

[@NillyNolly]

Only 90% of the times though

[@LazurizSolari]

90% of the time works every time

[@FrostNapCat]

And I'm wondering why the portals are always right below a village. Like always

[@KNIZE_]

I read it as ninja brain rot 😭😭

[@danik0011]

my subtitles read it as ninja brain rot

[@narrativeless404]

Yes (What the sigma)

[@Imagining_Relief]

signs of brainrot

[@frozenturbo8623]

Low taper fade

[@BadChess56]

4:17 "But Minecraft is Minecraft." Touching quote. So true.

[@sandros94]

Ok, this one made my headache even stronger, instead of alleviating it as usual...

[@minerman60101]

The paper doesn't use ` in the LaTeX source to have left quotes, literally unreadable

[@AnonRand1]

oh NO

[@Jancel705]

💀

[@susietyinhabitor526]

Hahaha

[@hydropage2855]

Oh so THAT’s how you make those. I was wondering how to do that in my LaTeX homework recently but didn’t care enough to look it up

[@fares_gamer603]

amazing video as always man I watched since the sprint jumping video

[@HeppeGaming]

Legend!

[@Antifrost]

I'm not particularly interested in Minecraft speedruns anymore, but the math involved in the strategies and tools used are certainly interesting. I do wonder how detailed these tools can get before it crosses the line and is considered cheating, though I'm assuming that the argument is that as long as the game itself isn't modified and you're only using data provided in-game.

[@HeppeGaming]

Calculators used to be banned in speedruns. Only I think 3 years ago they got unbanned. But at the end of the day, it's just a calculator. A human could do the math himself, but it would take a lot longer

[@Respear]

​@@HeppeGamingthey should force the speedrunners to do the calculations themselves 🥶💯

[@DeltaTitan]

​@@Respear Math any% goes crazy, WR is an imaginary number I think

[@grqfes]

@@HeppeGaming yeah it would take a lot longer. so like.. it wouldnt be a good speedrun anymore. i could give myself creative and that would be a lot faster

[@jerryq1837]

@@HeppeGamingtechnically since Minecraft speedruns are in-game time you could just pause the game and do all of the maths manually (which paradoxically means that it doesn’t matter if you use a calculator since it would’ve taken you the same in-game time anyways)

[@sharpieman2035]

I have a video on my channel where I go into more depth on the precise way that I discovered how to do the more accurate measurement which is used in current runs. The description also has a link to the full VOD where I go into much more detail.

[@glintcoretheprotogen]

if there was a record for doing no calculator but you could only throw one eye would be literal mathemetician hell

[@Luminov-sh2tp]

Yeah.the none cal exam be like.I am trash at arithmetic lol

[@hydropage2855]

@Luminov-sh2tpGD player

[@cantuncpekkan4001]

I really enjoy your videos, and wish I had them when I started playing Minecraft

[@HeppeGaming]

I was probably 11 back then and didn't know calculus. Sorry

[@rewixx69420]

did not expect basyian statistics damm

[@fire__ferret]

‏‪3:59‬‏ aren't they called cartesian coordinates?

[@animowany111]

Cartesian and rectangular coordinates are synonyms.

[@moonyl5341]

8:16 because monitors have limited resolution so if the eye is between 2 pixels that happens

[@Fantastish29]

So if I understand everything right, we use the boat to take a precise trajectory of the pearl, then look if the trajectory crosses any chunk origins within the stronghold spawn circle. Why do we need to mess with probabilities in that case? To remove the fringe cases where it crosses other chunks' origins?

[@HeppeGaming]

Because we're dealing with uncertainty. If you slightly missalign your crosshair to the eye, the correct chunk will also appear in the table of the calculator, just with a smaller probability. And even if you align the crosshair pixel perfect, there is still a little uncertainty, because Minecraft is just a game, so there are limited amounts of angles that you can face.

[@Fantastish29]

@@HeppeGaming Gotcha, thx!

[@inspiration2292]

Great Video, technical minecraft explainer just fit with your voice, a new channel to subscribe to

[@danik0011]

6:46 sigma squared 🗿🍷🗿🍷 /j

[@Doogie8876]

I think I am wrong but here is a more simple way of explaining it. Basically when the calculator gets your co ordinates and exact angle it finds an area in the direction that is on the specific chunk co ordinates that eyes of ender go down in. Then it will tell the player where the 4-4 co ordinates in the chunk are. I definitely butchered that and might be wrong but I think it works similar to that. Correct me if im wrong tho, I am bad at math

[@SteveStiw]

it's not crazy to make something like this, it's crazy to actually understand it all

[@sledges5638]

im in love with this channel

[@HyperKNF]

that zzz clip in the end

[@HeppeGaming]

I'm very WISE. Smash the subscribe button and ring the BELLE.

[@canyucel7866]

i dont understand a thing in this video but i watched all of it because your accent is addictive

[@LovroPlaninšek]

am I going crazy or did I just hear the final sentence of the video be "subscribe to my balls BYE"

[@moonyl5341]

how come endervision leads you to the end portal room

[@igormatkowski5488]

I was wondering where exactly this eye leads thanks

[@f.b.i3375]

great explanation holyy

[@moonyl5341]

3:57 they're called cartesian coordinates

[@Neviden]

If you refer to the rectangular coordinates, they are the same in two dimensions

[@dragskcinnay3184]

Thank you for explaining calculators work. Couriway doesn't use them, so it didn't really need the info, but thanks anyway

[@cqrpet]

the video length goes crazy

[@M_1024]

What does the boat do?

[@Myk-oy8tq]

It resyncs the players coordinates with the server so that there is less deviation from your client position and server position (Your computer runs a server on your computer that only you can connect to)

[@HeppeGaming]

Basically, it increases accuracy by using a much better measurement technique

[@M_1024]

@@Myk-oy8tq thanks

[@sirvyving5047]

If this were the case, the boat angle would be irrelevant and only the 'boat postion' would be neccecary. The boat is used to snap the players facing direction to one of many 'minecraft determined' angles which a boat is able to face, these angels are known to basically intger precision as is the player's mouse sensitivity allowing ninbot to add/subtract integer multiples of your sensitivity to your boat angle transferring the accuracy of the boat angle to the eye measurement. Server side de-sync can be an issue but as far as I know there is no way to prevent it in a run and runners normally just take the L when this happens.

[@gus9351]

​@@sirvyving5047 Server side desync is preventable in many ways, and yes exiting a boat does in fact prevent it, but it's only one of the many ways you can do it. There's a great video about it by Char, should be the first thing that pops up if you search "ender eye desync guide"

[@vegegrey1709]

4:50 im not sure this is relavent to calculating the position of one stronghold. This fact is only useful to find other strongholds in a ring where u alr know the location of one of them. Also 6:18 in 1.16 the eye doesn't point to the chunk origin it points to the center (8.5, 8.5) therefore the line should have to satisfy the parameters of 8.5 = x mod 16 and 8.5 = y mod 16 (with x and y being the coordinates of the stronghold) but for some reason ninjabrain bot doesnt calculate it like that. I once asked my discrete math professor this question and he solved it theoretically using the extended Euclidean algorithm which computes the integer values of s and t, a(s) + b(t) = GCD(a, b) Any idea how he did it?

[@the_zayd]

Yeah I have professionally speedrun this game for years and this video is poorly put together and generally misinformed and incorrect in some cases.

[@Antifrost]

@@the_zayd Might I ask to see an example of your runs? Not saying I don't believe you, but you don't have any on your channel and I'm not finding much just by searching your channel's name anywhere either.

[@HeppeGaming]

​@the_zayd what exactly was incorrect, that I said?

[@Vaystin]

@@the_zaydNo one says they professionally speedrun Minecraft 🤣 You gotta be trolling lmao

[@kostya48i57]

Answering you second question, it is not that difficult, assuming you have the equation of a pearl line You can describe it as Ax + By = C Therefore you can assume that y = (C - Ax)/B, under general assumptions Then you have system of equations like 17 = x mod 32 17 = (C - Ax) / B mod 32 Rewrite x = 32k.+ 17 then you have 17 = (C - A(32k + 17)) / B mod 32 Solve this for K, now you have your points, though it is not completly true, you need to take in account floating precision. Modular arithmetics and CRT or Euclidian doesn't work well under real numbers, because it is hard to define GCD. The better way of doing this, is to divide each chunk into 4 equal subchunks, and you can use the default algorithm.

[@Thmyris]

Another high quality vid by heppe

[@SirTrinket]

I don’t understand it all, but that’s really cool

[@wilville3752]

doing a LaTeX writeup for a minecraft bot is fucking crazy.

[@Stargazer_void]

i love your content dude can you explain how people find the bastions by using f3

[@frankey32mc]

Entity count.

[@Spessman]

Genuine questiion, why not use two eyes and find where they intersect? It's still a bit of trig, but nothing like the mathematical black magic that I saw when he brought up the paper.

[@HeppeGaming]

1 eye < 2 eyes

[@beaverbuoy3011]

Love it!

[@CygnusLaboratorys2056]

the crosshair scandal is what's really shocked me

[@aplemikteavw]

my ninja100%, but wrong place

[@Mcwarden-c6z]

In bedrock edition you don't need ender eyes because 80% villages have strongholds

[@TeaMaster420]

I just like how math has made you shift from 1k to 60k views in the last 6 videos.

[@HeppeGaming]

I just figured out you can put a black background in the thumbnail and apparently that's what people like to click on

[@TeaMaster420]

​@@HeppeGaming Yeah xd, quick reply!

[@krispyking2450]

what about on a server? u can’t pause the game to line up the crosshair

[@KirssarGames]

I read the title as 'The monster math behind Ninja's brainrot'

[@HeppeGaming]

sigma

[@xanderlastname3281]

I............ i... i............. eye........ i give up i have no clue whats going on

[@ehnehm]

7:55 WHY MUST YOU CURSE ME WITH THIS KNOWLEDGE???

[@pd28cat]

Nice video length

[@thingthingthingthingthingthing]

Your voice is reminding me of Mr Slav

[@guigazalu]

For a computer, doing a bunch of complex math fast, is easy. The problem is doing bunches of bunches (of bunches of ...) of simple math. These take a looong time.

[@ImcoolIthink-jd4gz]

When I do everything in ninjabrain bot on the newest version (make it blue boat and all that) it just shows as a grey boat 😭is there anything I can do about that?

[@HeppeGaming]

Did you bind a button for boat measurement? It's unbound by default

[@frankey32mc]

There's a hotkey for it watch some tutorials

[@bobrze]

great video interesting explanations

[@Reeezacz]

"Powiedz ze jestes polakiem nie mowiac ze nim jesteś"

[@kitteninforest]

I laughed so hard when he said "if you're a sigma" and showed the sigma sign (σ)

[@HeppeGaming]

I truly am a Σ

[@kitteninforest]

@@HeppeGaming I respect that. I hope to be a Σ too one day :D Well done for making this video, it was very interesting to watch and somehow it motivated me to study math. (Crazy shit)

[@raizen_u]

holy this is so insane

[@improverr]

balls have been subscribed to. what do i do next

[@DanNguyen-oc3xr]

So, teacher, can you do an example by hand just so I know FOR SURE how it works? After all, it does need to be theoretically calculatable by hand to be allowed in a competitive minecraft speedrun, right? Otherwise it would fall more into tool-assisted?

[@HeppeGaming]

Sure, let me just write down 10 000 integrals for every chunk on the nearby ring and solve them

[@sharpieman2035]

The by-hand rule was our old rule before we decided to allow calculators. That is no longer a strict requirement under the ruleset we have.

[@plill0_wmcfethers708]

you're too smart

[@HeppeGaming]

no u

[@crazykangeroo9042]

i know, thank you

[@CrittingOut]

Very cool

[@scutyardwilliamgate]

bruh, using the polar coordinates with z axis and negative angles is so obnoxious for some reason

[@HeppeGaming]

I actually was thinking why there is a -r for a while. Then I joined the game and saw it uses the z axis

[@Phoenix_Sudo_Linux]

Hi guys, how do you do a search query in the comments like you did? I just don't know and I haven't found it on the internet.

[@Antifrost]

@@Phoenix_Sudo_Linux The only 'real' way to search comments (as far as KZbin functions go) is through KZbin Studio on your own account. If you look at the comments from there, there'll be a button next to the "Filter" option that'll let you search. It can be done on individual videos or across your entire channel. Otherwise, if it's for a video that's not on your channel, your only option is to load as many comments as you'd like and use Ctrl+F.

[@elwiiwii]

very cool video 👍

[@NotFamousWasHere]

New outro 🤣

[@HeppeGaming]

The next one will be: subscribe to my cubes

[@sandros94]

​@@HeppeGaming and you should start the video like: "welcome back my balls"

[@n_9_70]

math majors when they're bored:

[@x4dam]

W

[@herbaciarz6529]

You bro where you from? this accent kinda familiar

[@HeppeGaming]

I'm from the Polish Mountain

[@herbaciarz6529]

@@HeppeGaming aaaa wiedziałem, świetny film byczqqq 🔥

[@erpetek]

mmmmmmmmmm pierogi

[@oshhyy]

my brain hurts

[@thingthingthingthingthingthing]

6:46 oh no

[@shakeztf]

Mathcraft

[@null-guy]

BOAT 🔊

[@ttul]

Isn’t it “cheating” to use an external tool to find the stronghold? I mean, I get that everyone uses it, but it _is_ a tool that is not in the vanilla game. I have always wondered why this is permitted.

[@frankey32mc]

You theoretically can do the maths by yourself but it will take a month and it's not a minecraft speedrun anymore

[@sillysnowboot]

Nerdy German sounding guy puts college math in minecraft. Where did my a^2+b^2=c^2 go :

[@sillysnowboot]

It might be russian

[@HeppeGaming]

In between Germany and Russia. Poland

[@WhipLash2457]

goat

[@Surr3alD3sign]

TIL that bedrock players aint even get a portal in every stronghold 😂

[@karol5125]

Ziomek a ty z Polski nie jesteś?

[@HeppeGaming]

Polish Mountain

[@KonradKonsek]

​@@HeppeGaming😂😂😂

[@kiryonnakira7566]

Bedrock, ... yup, never going to touch that ever again after my first hour in it. It was a complete disaster. It's incridibly slow, even more than java, when it's f*king C++, HOWWW. how bad do you need to be at programming to have a slower identical game with a faster language ?

[@BinxBonx]

hamburger

[@yatrtiah]

the 🅱️oat

[@Maker0824]

After I heard about how triangulation worked, I thought “huh, couldn’t you do that with one eye?” The answer is yes, but way smarter than my dumb brain thought of

[@OverlordVizeon]

Spore profile picture spotted?!

[@adriangutierrez441]

It's not triangulation and you can't triangulate with one eye.

[@ForEvilland]

JoJo!

[@apieceofcakewithinternetac6842]

heppe video nice.

[@jack-kz3qn]

“Red and blue line” my guy thats green. Your legitimately red green color blind

[@HeppeGaming]

You're*

[@RandomBloonStuff]

Are you polish?

[@DOKIT3920]

He's Austrian

[@HeppeGaming]

Australian

[@Tezos1644]

6:46 "sigma squared" kill me.

[@SaketRaman-jh6fw]

I gave up at 2:55

[@samuledillon951]

mhm

[@KiraiKatsuji]

NNNEEERRRDDD!!!

[@kekprod_]

BOAT

[@dylanlawrence933]

I wanted to watch a minecraft video, not relearn calculus

[@baconscarf9522]

🅱oat

[@zaistnij]

Sir, are you a polak?

[@HeppeGaming]

Polish mountain

[@kostya48i57]

The video and the paper is quite poorly written :sadge: What is snapping, why the equal angle betweeen strongholds on one ring matters? Why do we state, that the snapping of strongohold diameter is atmost 128\sqrt{2} blocks? Where it is used? On what probability the PDF is used to? Why is it two-dimensional? If it is distance from the player point to perl line, it is inclear that is gaussian

[@HeppeGaming]

Snapping determines the position of the stronghold when the world is created. The angle matters for calculations with multiple eye throws, in case a second eye goes to a different stronghold than the first one. 128sqrt(2) is used when accounting for the snapping, I kind of skipped that, because it's super complicated the pdf is used for the probability of a chunk containing a stronghold. It's three dimensional, because functions that take in 2 arguments f(x,y) are always three dimentional. the second argument is the radius, not exactly explained in the paper, but I assume it's the rings bounds (1280 - 2816)

[@sharpieman2035]

It feels a bit unfair to call the paper poorly written. Speedrunners are under no obligation to write academic style papers explaining their math, Ninjabrain took quite a bit of time on it and it was well ahead of its time. He didn’t need to write a paper at all but he chose to do so. Personally just making the video on my channel was a significant amount of effort, he went above and beyond most any strat developers in bothering to write all of that in such a clean document.

[@kostya48i57]

@@sharpieman2035 As a non-professional speedruner but a guy with graduation in CS/math, paper is unclear, and seems more like a hand-book, to not forget, what he was doing. It doesn't explain much, most of definitions in the paper have to be learned from context, where they are used in. Well, I guess, if you know the all the techniques and details, then this paper must be usefull, but for a random guy, who is just interested, it isn't. I said why it is poorly written in my starter comment, but can add more, though I'm not in a high interest. If you think it's good, let's stay on each others side.

[@tusu]

yayy firstt 😇😇

[@belivInChrist]

I hope there is someone that really needs to hear this I just wanted to say that we all have sined against God our punishment is death but Jesus came down from Haven and took all weight of sin upon himself He who is perfet and holy died the most embarasing way for us and He rose form the dead He is alive and He is coming back and He says anyone who belives in Him shall not perish but have everlasting life.He wants us zo turn away from our sins to him . Confess him your sins and ask him for forgivnes and confess with your mouth and truly belive that Jesus died for you and rose from the dead and you will be saved. I am saying this beacuse I love you and whant to share my faith with you .Amen.❤❤

[@ggdionne]

average jojos fan