Welcome to the Collatz Conjecture. Sit back, relax, and enjoy the glorious generation of seemingly random graphs to fulfill your needs. The Collatz Conjecture is an unproven conjecture in mathematics, and it consists of two simple rules: If a number is odd, that number is multiplied by 3 and one is added (3x + 1) If a number is even, that number is divided by two (x / 2) This process is repeated. The Collatz Conjecture states that any integer will eventually result in the repeating pattern of 4, 2, and 1. To this day, the conjecture remains unproven. Computers have tested the Collatz Conjecture with every number from 1 to 2^68 - which is a ｖｅｒｙ large number - and sure enough, every single one eventually results in the 4, 2, 1 loop. The number in the upper right corner of this project refers to the starting input for the conjecture. And, assuming the project functions properly, all inputs will eventually trickle down to one. Note that not all graphs are set to the same scale - graph dimensions will change in size judging off the highest result off of any given number. This prevents the graph from going off the screen. Enjoy the project? Want to show me a little support? I spent a good amount of time on this one, and loves, favorites, and follows are ALWAYS appreciated. I plan on creating a full project incorporating a Collatz Conjecture definition inside, the screensaver as shown here, as well as an interactive version with custom number inputs available! Thank you so much for taking the time to read all this - and sorry for not posting any projects for MONTHS! I should be getting back into Scratch soon... hopefully? Thanks again ;) -GMAT Music: Jake Chudnow - Moon Men https://scratch.mit.edu/discuss/youtube/TN25ghkfgQA Collatz Conjecture Explanation Video: "The Simplest Math Problem No One Can Solve" by Veritasium - https://scratch.mit.edu/discuss/youtube/094y1Z2wpJg (that vid was the whole inspiration) #collatz
