True Tetrational

Description

THIS IS WORK IN PROGRESS!!! Inspired by True Exponential: https://angarg12.github.io/TrueExponential/ This is one of the largest number games out there! 1. True Tetrational (F10000) 2. AAC (2.0) (F1024) 2. True Infinity (eeeee3=F5.5) 3. Achievement Activation Clicker (eee308) https://scratch.mit.edu/projects/245159069/ 4. Incremental Unlimited (eee30) __________ETERNITY=ee308____________ 5. Infinite Layers (ee308) 6. Multiplying Incrementals (ee308) https://scratch.mit.edu/projects/325680353/ 6. True Exponential (ee16) 7. Antimatter Dimensions NG+++ (ee15) 8. Exponential Madness (ee12) 9. Infinite Layers (ee11) 10. Antimatter Dimensions (e400,000,000) 11. Transport Defenders (e30,000,000) 12. Insane Idle (e10,000,000) 12. Idle Loot Quest (e440,000) 13. Clicker Heroes (e100,000) 14. Points (e12000) [BROKEN as of Scratch 3.0] 15. Swarm Simulator (e4,800) __________INFINITY=e308____________ [Recommend more incremental games that goes beyond 10^308] CHANGELOG v0.2: 6/6/2019- Added the rest of the corollaries v0.1.2: 6/4/2019- Added the first corollary! v0.1.1: 5/31/2019- Updated number engine from 10^308 to 10^^10^308 v0.1: 5/24/2019- Added lemmas and theorems up to Theorem 6

Instructions

NEW: https://scratch.mit.edu/projects/341525196/ Welcome to True Tetrational! *THIS IS A GAME* The instructions are in the abstract. Use the up and down arrows (or the scroll wheel) to scroll. This games features number that grows tetrationally. Tetration is repeated exponentiation, and it represented as a^^b. a^^b=a^(a^(a^...(a^(a))...)) with b a's. That means: 2^^1=2 2^^2=2^2=4 2^^3=2^(2^2)=2^4=16 2^^4=2^(2^(2^2))=2^(2^4)=2^16=65536 2^^5=2^(2^(2^(2^2)))=2^(2^(2^4))=2^(2^16)=2^65536=A number with over 19000 digits! You can see how fast these number grow. However, these numbers don't go that far when a<1.444667. 1.444667^^1000000=2.718 1.444668^^1000000>10^10^100 That why buying lemmas are important! You need to have a high enough r(t) to effectively break the tetration limit barrier, and reach unfathomable heights!