Approximating Catalan's Constant in Minecraft

In this video we approximate the value of Catalan's Constant using the mechanics of Minecraft. Catalan's Constant is equal to the integral from 0 to 1 of arctan(x)/x dx. This is equal to 1/1 - 1/9 + 1/25 -1/49 + ...

We approximate the value of 1/1 by measuring the proportion of times the enderman lands on the upper left block in the inner 1x1 square.
Similarly, we approximate the value of 1/9 by measuring the proportion of times the enderman lands on the upper left block in the inner 3x3 square.
We do this all the way up to the 13x13 square.

If there's a constant that you'd like to see me approximate in Minecraft, please let me know!

#Minecraft #Math #FunMath

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[andreizonga]

Catalan's constant is also defined as the Dirichlet Beta function of 2, where the Dirichlet Beta function of s= the sum from n=0 up to infinity of: ((-1)^n)/((2n+1)^s) i. e. The infinite alternating sum of the reciprocals of the odd number to the s power i. e. means the Dirichlet Beta function of 2 is: the sum from n=0 up to infinity of: ((-1)^n)/((2n+1)^2) i. e. the infinite alternating sum of the reciprocals of the squares of the odd numbers i. e.
Yeah, I know this was talked about in the video, but I just wanted to additional information here.

[kayyumamcaoglu]

I love seeing these seemingly unrelated things appearing in Minecraft, keep it up!

[muriloporfirio]

Such an amazing way of approximating!
It's incredible how you come up with them!

[eric]

Really great video!! And the Approximation was great!!! :D

[guydror]

Expectation: approximating Catalan's constant
Reality: approximating 1 over 2n+1

[NihilistEmier]

Today i found Your Reddit profile .
I saw your post in r/math .

[yardenshani]

You can approximate g (that will be cool).
And I am really interested on a factorial of a special number (for example e, π...) Oh and the approximation of Rl(i!) And Im(i!) can be interesting

[supramitra]

When Mathematics and Minecraft married together.

[shivamchouhan]

How great you used enderman
Really awesome

[phjvrsh]

such a cool method of approximation to be honest

[p_square]

Online classes would have been different if you were teaching :)

[pilotomeuepiculiares]

I would love to see the Euler–Mascheroni constant. It's my favorite one

[elijahjoel]

I watched this on my TV and then again on my phone so I could comment. Cool vid

[aashsyed]

Thanks for this hope you are a genius And you are!

[carlosgiovanardi]

Interesting! Between 1:24 and 4:45 i got lost!
What technic are you using?
Can you, please, explain?
Also, how do you get 46 and 130 and the others?

[aashsyed]

I've heard about this constant,
But not know what it is UNTIL THIS VIDEO UPLOaDED.

[gabriellasso]

Is the enderman position an uniform distribution?

[HolyG-sus]

I didn't knew what a Catalan's constant is, thanks












Damn u r so awesome...

[Kdd]

Enderman was so quick! It was very intense. Really fun! How do you get such great ideas?

[tavishu]

Can you approximate sqrt(3) in minecraft? sqrt(7)? sqrt( any prime)? 🙂