Uploaded June 2021 | Updated September 2026, 7 hours ago

---

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

Subscribe ✅
youtube.com/c/DrWeselcouch

PLAYLISTS 🎵 :
Math and Minecraft: youtube.com/playlist?list=PLscpLh9rN1Rf-dqLO4r3GAwvm1O_xL7D1

Combinatorics Problems: youtube.com/playlist?list=PLscpLh9rN1RfNzyUsA_KzsfQ_k1AR9Ebs

Geometry Problems: youtube.com/playlist?list=PLscpLh9rN1RdFKjA3-vvTL_xG6s3YxB6r

Calculus Problems: youtube.com/playlist?list=PLscpLh9rN1Rcv3XYXq5Z0oXMEOVL-aocI

Calculus 2 Problems: youtube.com/playlist?list=PLscpLh9rN1RcqIZyidbChYLuMAdZhhEwN

Multivariable Calculus Problems: youtube.com/playlist?list=PLscpLh9rN1RcdbQLLvRItUxOMRKnbDJaw

Number Theory Problems: youtube.com/playlist?list=PLscpLh9rN1RfOeiBA6o4YSXtAWF3-3_AT

Linear Algebra Problems: youtube.com/playlist?list=PLscpLh9rN1Rfo0ifw9RZFoJ2Te2jk_pwX

Statistics Problems: youtube.com/playlist?list=PLscpLh9rN1RexwCjV9_1RmfluCTv5HKe1