#DidYouKnow: The #Collatz #Conjecture, also known as the "hailstone conjecture" or the "3n + 1 problem," is one of the most famous unsolved problems in mathematics.

The conjecture asks whether repeating two simple arithmetic operations will eventually transform every positive integer into 1

https://knowledgezone.co.in/kbits/669a1edb197f2e933a0ccaa2

Collatz's Ant and Σ(n)

https://gbragafibra.github.io/2025/07/06/collatz_ant5.html

#HackerNews #Collatz #Ant #Collatz #Conjecture #Math #Blog #Σn

Collatz's Ant and Similarity of Landscapes

https://gbragafibra.github.io/2025/05/18/collatz_ant3.html

#HackerNews #Collatz #Ant #Similarity #Landscapes #Mathematics #Algorithm #Research

A shower thought turned into a beautiful Collatz visualization

https://abstractnonsense.com/collatz/

#HackerNews #showerthoughts #Collatz #visualization #abstractnonsense #creativity #techart

Collatz's Ant

https://gbragafibra.github.io/2025/01/08/collatz_ant2.html

#HackerNews #Collatz #Ant #CollatzConjecture #MathProblems #Algorithms #HackerNews

is anyone from mathstodon willing to critique this preprint? the author claims to have solved the Collatz conjecture and I have not found any holes in the proof yet.

https://www.preprints.org/manuscript/202502.2072/v3

The author first shows that collatz cycles have bounded growth, then proves the uniqueness of the 4-2-1 cycle. The ensuing claim is that this implies that all paths converge to 4-2-1.

It's all quite easy for me to follow, which raises my skepticism a bit.

#collatz #numbertheory

#DidYouKnow: The #Collatz #Conjecture, also known as the "hailstone conjecture" or the "3n + 1 problem," is one of the most famous unsolved problems in mathematics.

The conjecture asks whether repeating two simple arithmetic operations will eventually transform every positive integer into 1

https://knowledgezone.co.in/kbits/669a1edb197f2e933a0ccaa2

I algebraically expressed all possible combinations of the outcomes of #Collatz Conjecture with an iterative rule set to see how many I could prove as not producing x>0 as an integer (which would indicate a loop).

I have a tree with two sets of expressions that cannot loop. One for trivial reasons and one because the rules say you can't do that.

Anyone else want to play?

#Maths

#Day11 of the #30DayChartChallenge, #MobileFriendly

🤔💭🔢 The Collatz Conjecture🤔

📂: https://t.ly/KJvWp

#rstats #dataviz #ggplot2 #Collatz #Conjecture #Distributions #visualisation #mobile

One day, one decomposition
A062060: Numbers with 10 odd integers in their Collatz (or 3x+1) trajectory

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A062060.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A062060.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #odd #integers #Collatz #trajectory #graph #threejs #webGL