===== FOR REMIX INSTRUCTIONS & RULES, SCROLL DOWN ===== Want to quickly get to the most recent remix? Click here for the remix tree: https://scratch.mit.edu/projects/1204007816/remixtree ===== HOW TO REMIX ===== Want to add a character to this project? Follow these instructions carefully to get them in: 1. Scroll down below these instructions and read the rules! DO NOT proceed until you've done this! 2. Click the green "Remix" button at the top-right corner. 3. Create your character! Just duplicate/copy the ''Player0'' and replace every costume in that sprite with your character, replace all "Voice" sound clips with your character's voice and set their name. 4. Test your project. If you like the result, either continue to add more characters or share it! BONUS: You're also allowed to add characters to the thumbnail as well as more music tracks. Players take turns pressing down on the button, revealing a random number. Then, using the Collatz Conjecture, the number will slowly or quickly reduce to 1. If the total number of steps to reach 1 (the stopping time) is even, it's a good number, and they get to stay for more. If the stopping time is odd, the player loses a life. If they lose all their lives, they're out! The game continues until there is one player remaining. Who will emerge as the champion of this mathematical challenge? ===== RULES ===== (don't break them) Only @Eighty4, @TheStarSpirit, @BarryFans, @Burgnew_On_A_Laptop, and @Twin138956Scratch (as well as their other accounts) are allowed to break these rules. Rules marked with a (!) can only be broken by @Eighty4, @BarryFans, and @Twin13856Scratch. (!) 1. It is polite and REMIX ETIQUETTE to comment "Remixing..." in the comments before starting a remix, so people know not to accidentally split the remix tree's branches. If you don't intend to make a new remix branch, then don't remix if someone has commented "Remixing..."! 2. (This rule cannot be broken by anybody, not even those from the breaking rules list) Do not add anything that violates the Scratch Community Guidelines. This means nothing unsuitable for ages 12 and under. (!) 3. Don't add or remove anyone from the breaking rules list without permission! Furthermore, don't delete any of these rules or instructions & don't completely change the project title either! (!) 4. Please make sure you credit for being the creator of the Pen Text Engine++ used in this project! ( ) If you don't want to type the credits, copy this template below and paste it into the Notes and Credits: Credit to for PTE++ ( ) 5. Don't delete or destructively modify anything you didn't make! You are allowed to do this if something breaks any rules or the Community Guidelines, if you need to fix a bug or glitch, or are adding a new feature to the project. 6. Please don't try to make your character(s) more powerful and likely to win than others. Everybody should have equal chances of winning! 7. Don't make your characters too large, that would make it hard to see. 8. Adding any singular characters that appear to be 2 separate characters (EG: Mario & Luigi both as 1 player) is not permitted, unless these characters are stuck together with no feasible way to physically detach them. 9. Don't delete any music tracks unless they break the Community Guidelines. If you don't want to listen to a certain song or genre, utilize the "audio exemption" functionality to make sure you can't. 10. (RESPECT ZYELLOW'S OPINIONS ON THIS RULE.) Please refrain from adding any content from FNF in the main remix branch, that includes characters, references, and even songs. This rule exists because FNF was involved in an incident with one of the official New Oddball Mirror Hall remixes, and therefore has tarnished ZYellow's opinions on FNF. If you proceed to add any FNF content, ZYellow respects your opinion. 11. You can add yourself to the thumbnail, but please don't delete any characters off it or completely change it altogether! 12. If you are part of the "breaking rules" list, you're allowed to add a new rule if needed. Remember to add it to both this comment and the project's instructions! 13. Do not make your characters' costumes static images, even if you attempt to animate them. 14. Don't make your character too big or too small, which will make it hard to see and make the game unfair for the others. If you break any of these rules, it may result in your remix being declared UNOFFICIAL and abandoned. Make sure to double-check the rules just before you share the project!
Credit to @-Rex- for PTE++ ( https://scratch.mit.edu/projects/406678232/ ) The Collatz conjecture is a simple, yet intriguing mathematical problem that has eluded a definitive solution for nearly a century. It states that for any positive integer, if you apply the following rules recursively, you eventually reach 1: when the number is even, divide it by 2, and when it's odd, multiply it by 3 and add 1. Though it seems like a simple and fun way to pass the time, it's actually a deceptively complex puzzle that has baffled mathematicians. You see, it's unknown whether every number, when subjected to this process, will indeed reach 1, or if there's a number out there that breaks the pattern. There are two ways this conjecture could be disproven: either there's a number that shoots off to infinity, or there's a number that, when processed, results in a looping cycle that doesn't include 1. Something to note is that, once you've applied the 3x+1 to any odd number, you always end up with an even number after that step, so you're forced to divide it by 2 afterward, therefore it guarantees that the number you start with will eventually reach 1 if it follows the conjecture's rules. The paths that each number takes on its journey to 1 are random and unpredictable. Some sprint there, while others grow to insane amounts before they shrink again. So, there's no way to predict if a number that hasn't been tested yet will drop to 1 fast or slow, or yet, if it'll rise to infinity or make its own cycle without reaching 1. Mathematicians have tested numbers up to 2^68 (295,147,905,179,352,825,856), and yet, all those numbers have followed the conjecture's rules.
