I think the error here may be related to the walls around the testing area which would limit the motions of the mobs. By the nature of random walks, they won't be in the corners as often. Perhaps a much larger testing area, where the square and inscribed circle are far from any walls or other limitations. If the circle has r=15, then centering it in a testing zone of 90x90 would certainly be enough to overcome this error. Another experiment in the zone you've already created: instead of spawning 8 predators in the center, spawn 2 in each corner. I expect that wouldn't change the overall ongoing counts much, but could change the headstarts and 20 more kills in the corner gets you to a more respectable 3.15 I just found your videos, and I love them.
Thanks for the awesome comment! You're right, there are a few major flaws in the experiment. One issue is that mobs stop walking around once they are a certain distance from the player so that puts a limit on the radius of the circle. I'm glad you like the videos! As long as people keep watching them, I'll keep making them :)
@@aneeshsrinivas9366 I guess that depends on the number of dimensions ;). I agree that the slimes at any time need to be uniformly distributed for this to work.
@@DrWeselcouch Another thing to consider is that the ammount of slimeballs dropped is random, from 0 to 2. That means that the amount of slimeballs that you get doesn't actually count the amount of slimes killed in a given area, since some won't be counted, and some will be counted double.
Also where the slimes die has some relationship to where the hog spawns which is probably not random. And he spawned the hogs all in the middle. An interesting example of how our models of the world have shortcomings.
This is amazing. I just started my own video series on math in Minecraft and I wish I had watched yours before starting! I like your editing skills and showmanship!
How close is the approximation of the circle? How many blue and red squares of floor are there here? My friend just showed me this minecraft playlist of yours and I love it already. I majored in math, and number theory was one of my favorite parts, along with topology. This playlist is my first introduction to your channel, but from some of the comments it sounds like you've got other stuff too--I'll be sure to take a peek when I finish watching this playlist!
Great I'm glad your friend showed you my channel. Since you know a lot of math, you should watch my video on the Euler-Mascheroni constant. In terms of red vs blue, I'm not entirely sure. I used the Minecraft circle generator with radius 22 I believe.
I think you got an overestimate because you spawned the zompigs(not sure about the name) in the middle, you could use dispensers to spawn them at the same time with a smi-equal spread across the place to fix that, also a larger circle will get a better result(probably) Great video :D
@@DrWeselcouch Actually, why should it matter that he spawned all the hoglins in the centre? All it means is that the slimes in the centre will die first, and the ones in the corners will die later. It shouldn't matter because they will all die sooner or later, according to me. I'm not very good at explaining, but this should make sense if you think about it. Am I correct?
@@DrWeselcouch like what? also does my idea sound good? it seems like calculating (4k)!/(k!)^4 should be doable in minecraft, so this lends itself well to a pi approximation.
@@aneeshsrinivas9366 No the issue is once you get a certain distance away the chunks unload so the redstone clock would pause while the chunk it's in is unloaded.
I think you just need a slightly bigger area, try it about twice to thrice bigger, not only would this make the circle look more circular it should help with numbers better as you can fit more slimes in and thus having a more robust model, it will certainly get you way more closer to 3.14 vs the 3.28 that you got.
Interesting, but the slimes and hoglins just increase your error. You would get a better approximation by just counting how many blue carpets and how many red carpets you used rather than how many slime balls dropped on each color of carpet.
@@DrWeselcouch it's up today but I'm extremely bad at making videos And the video quality is bad And by bad I mean BBBBB B. B BBBB B. B BBBB A A. A A. A. A A. A A. A DDDD D. D D. D D. D DDDD TOO BAD Humanly un-veiwable I don't know why in still making videos
You played trumpet sounds but 3.28 is not a bad approximation for pi in a voxel game like minecraft, thats an error of around 4% id be happy with that.
Tgis is really clever! If the zoglin was replaced with a vindicator named johnny and a more randomized way of distributing the enemies that attack the slimes, that would be a better approximation. But I never thought of this idea, its really clever!
Thanks! I've made a bunch of other math and Minecraft videos since this one and I think the quality has improved. If you liked this one, you should definitely check out the others!
@@DrWeselcouch Mera age abhi 15year's HAI,Mai 21 year's mei kya Mathematics mei algebra and trigonometry mein PhD kar sakta hun. I am study everyday mathematics and physics 18hour's/Every day's.
@@DrWeselcouch Oh, I already binge-watched most of your videos regarding Minecraft. I was thinking of a straight-up standard indefinite/definite calculus 2-level question. I don't know how much Redstone can do but maybe some sort of question regarding the integral of x^n or something? Ps. I'd love to see the integral symbol in Minecraft.
I think the error here may be related to the walls around the testing area which would limit the motions of the mobs. By the nature of random walks, they won't be in the corners as often.
Perhaps a much larger testing area, where the square and inscribed circle are far from any walls or other limitations. If the circle has r=15, then centering it in a testing zone of 90x90 would certainly be enough to overcome this error.
Another experiment in the zone you've already created: instead of spawning 8 predators in the center, spawn 2 in each corner. I expect that wouldn't change the overall ongoing counts much, but could change the headstarts and 20 more kills in the corner gets you to a more respectable 3.15
I just found your videos, and I love them.
Thanks for the awesome comment! You're right, there are a few major flaws in the experiment. One issue is that mobs stop walking around once they are a certain distance from the player so that puts a limit on the radius of the circle.
I'm glad you like the videos! As long as people keep watching them, I'll keep making them :)
@@aneeshsrinivas9366 I agree, it would have taken much longer to get better results.
@@aneeshsrinivas9366 I guess that depends on the number of dimensions ;).
I agree that the slimes at any time need to be uniformly distributed for this to work.
@@DrWeselcouch Another thing to consider is that the ammount of slimeballs dropped is random, from 0 to 2. That means that the amount of slimeballs that you get doesn't actually count the amount of slimes killed in a given area, since some won't be counted, and some will be counted double.
Also where the slimes die has some relationship to where the hog spawns which is probably not random. And he spawned the hogs all in the middle. An interesting example of how our models of the world have shortcomings.
I came here from blackpenredpen and I love this kind of content!
Welcome! I'm glad you liked it :)
Same, a lot of good ideas
Same for me!!! But 2 months ago from now
so good to see you!!!!!
Do you remember that I am 9 years old????
This is amazing. I just started my own video series on math in Minecraft and I wish I had watched yours before starting! I like your editing skills and showmanship!
Awesome! I'll have to check your videos out :)
How close is the approximation of the circle? How many blue and red squares of floor are there here?
My friend just showed me this minecraft playlist of yours and I love it already. I majored in math, and number theory was one of my favorite parts, along with topology. This playlist is my first introduction to your channel, but from some of the comments it sounds like you've got other stuff too--I'll be sure to take a peek when I finish watching this playlist!
Great I'm glad your friend showed you my channel. Since you know a lot of math, you should watch my video on the Euler-Mascheroni constant. In terms of red vs blue, I'm not entirely sure. I used the Minecraft circle generator with radius 22 I believe.
I liked the pi part
I think you got an overestimate because you spawned the zompigs(not sure about the name) in the middle, you could use dispensers to spawn them at the same time with a smi-equal spread across the place to fix that, also a larger circle will get a better result(probably)
Great video :D
I wasn't sure if you could spawn them with dispensers. I"ll have to try that out!
@@DrWeselcouch Actually, why should it matter that he spawned all the hoglins in the centre? All it means is that the slimes in the centre will die first, and the ones in the corners will die later. It shouldn't matter because they will all die sooner or later, according to me. I'm not very good at explaining, but this should make sense if you think about it. Am I correct?
@@ayyu4967 That's what I was going for in theory. Since the zoglins roam around they'll eventually make it to the corners and kill slimes there too.
Nice
Hey, i cane from blackpenredpen and i love your videos. I think the error in this test is that every slime drops a different amount of smile
Oh cool! And I think you're right. That definitely didn't help.
What’s pi day 3 going to be. Ramanujan’s pi formula. For 1/(pi).
Hmm I'm not sure yet. I have some ideas!
@@DrWeselcouch like what? also does my idea sound good? it seems like calculating (4k)!/(k!)^4 should be doable in minecraft, so this lends itself well to a pi approximation.
Why is the video length not 3:14 haha
I failed!!!
PI is equal to 3.
Come on now!
3:11, you've almost done it to 3:14
So close!!!
Now can you approximate the golden ratio using minecraft?
That's a good idea!!
@@aneeshsrinivas9366 Woah! I didn't know that sin(18) = (phi - 1)/2! This is very useful information!
@@aneeshsrinivas9366 No the issue is once you get a certain distance away the chunks unload so the redstone clock would pause while the chunk it's in is unloaded.
Woah, was never expecting a Minecraft video from this channel!
Let's be honest, every channel should have some Minecraft content!
I posted a few videos in the last couple weeks. Check them out! :)
I think you just need a slightly bigger area, try it about twice to thrice bigger, not only would this make the circle look more circular it should help with numbers better as you can fit more slimes in and thus having a more robust model, it will certainly get you way more closer to 3.14 vs the 3.28 that you got.
The classical Monte Carlo method, this video was interesting.
That's exactly right! I'm glad you enjoyed it! I have a few other Math and Minecraft videos on my channel if you're interested.
My favorite way to approximate pi (:
The man did it! He calculated pi in a world without circles!
OHHH YEA!!!
Interesting, but the slimes and hoglins just increase your error. You would get a better approximation by just counting how many blue carpets and how many red carpets you used rather than how many slime balls dropped on each color of carpet.
That's true. This method is called the Monte Carlo method. What you're describing is a Riemann Sum.
That's just so cool
Thanks! I've actually approximated many other numbers using Minecraft since I made this video.
Pi is _the_ constant. I challenge you to do another approximation in Minecraft! :)
I've done a bunch! Check out my Math and Minecraft playlist to see them all :)
You should just remove the walls of hay to fix the error. Let them die wherever!
(just don't count those that die outside of the square, obviously)
Good point!
I did sonething simmilar today amd i thaught anyone else had this idea
I used counted the blocks inside to calculate pi
My approximation was 3.21875
Very cool!
@@DrWeselcouch ill upload the video today
@@PriggarGaming Can't wait to see it. Let me know when it's up :)
@@DrWeselcouch it's up today but I'm extremely bad at making videos
And the video quality is bad
And by bad I mean
BBBBB
B. B
BBBB
B. B
BBBB
A
A. A
A. A. A
A. A
A. A
DDDD
D. D
D. D
D. D
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TOO BAD
Humanly un-veiwable
I don't know why in still making videos
From where do you get such super crazy awesome ideas?
My cousin actually gave it to me. Such a funny concept don't you think?
@@DrWeselcouch yup :)
you could have just counted the number of blue and red blocks
I feel like that would have been less fun.
i love it
this is a litteraly a Montecarlo method in Minecraft, amazing
I'm glad you like it!
3.14159265358979 is the most I have memories
Wow that's a lot!
@@DrWeselcouch the length of this video is near pi!
Minecraftian Monte Carlo Methods
You know it!
That one at 1:32 got its freedom lol
Lol you're right!
You played trumpet sounds but 3.28 is not a bad approximation for pi in a voxel game like minecraft, thats an error of around 4% id be happy with that.
That's a great point! 4% error isn't bad!
Tgis is really clever! If the zoglin was replaced with a vindicator named johnny and a more randomized way of distributing the enemies that attack the slimes, that would be a better approximation. But I never thought of this idea, its really clever!
Thanks! I've made a bunch of other math and Minecraft videos since this one and I think the quality has improved. If you liked this one, you should definitely check out the others!
instead of spawning predators you can use the /kill command, which is less biased to where you spawn them
Good point
Very very very very very nicely done ☺️☺️☺️☺️
Thanks! Was this your first time watching this? This is an old one!
@@DrWeselcouch umm no i watch your coffee and calculus old videos also!
@@aashsyed1277 Hi
You are awesome🤩🤩 .May be Noble Prize is waiting for you sir
Hahahah thanks!
I'm so glad this channel exists. Here, have a new subscriber
Awesome! Welcome!
Excellent
Thank you so much 😀
@@DrWeselcouch Mera age abhi 15year's HAI,Mai 21 year's mei kya Mathematics mei algebra and trigonometry mein PhD kar sakta hun. I am study everyday mathematics and physics 18hour's/Every day's.
@@Error_404-d4e Wow that's a lot!
Please solve an integral in Minecraft. I don't care how, just do it lol.
What type of integral? You should watch my video on the Euler-Mascheroni Constant!
@@DrWeselcouch Oh, I already binge-watched most of your videos regarding Minecraft. I was thinking of a straight-up standard indefinite/definite calculus 2-level question. I don't know how much Redstone can do but maybe some sort of question regarding the integral of x^n or something?
Ps. I'd love to see the integral symbol in Minecraft.
@@Alians0108 Great ideas! I'll see what I can do!