Notes and Credits – break_transfinity.sb3 Engine by: OmegaCrafter Block Count: 1324 Status: Production Stage What This Engine Does: – 3-hyperlogarithmic math: +, –, ×, ÷, ^, ^^, ^^^ – Converts between normal, superlog, and 3-hyperlog – Includes log, superlog, antilog (10^x), antisuperlog (10^^x) – Supports apeirologarithm (aka Infini-logarithm in ExpantaNum) (Note: Don't confuse this with "Hyper Logarithms" in break_quantum, which are 3-hyperlogarithms or penta-logarithms. To avoid confusion, I use "apeirologarithm" for Infini-logarithm and "3-hyperlogarithm" for penta-logarithm.) – J-of-n letter notation: J1 = 10 J2 = 10^^10 Jn = {10,10,n} for n ≥ 3 – Universal Canonical Notation: E10 = F2 F10 = G2 G10 = H2 H10 = J4 – Formats: scientific, game-friendly (Abbreviations M, B, T, Qa, Qi, Sx, Sp, Oc, No, Dc), and letter Formatting Modes: – Letter: e.g. Fe9.5, eee4.5e13 – Game-ish: e.g. F3.162B, eee45Qa – Standard Form: e.g. 10^^3.162x10^9, 10^10^10^4.5x10^13 – Universal-Canonical Letter Notation: e.g. E3.531, F6.321, G4.993, H2.031 Supports 4 modes—more than any other Scratch bignum engine! Inspired By: – PsiCubed2 – letter notation & interpolation – yesthedodecahedron – ExplodoNum & formatting – Bluetunia2050 – bug reports & critique – TSKS1173067 – break_quantum.sb3 (but avoids rounding flaws) Credits: – Visual by @Mamkagod_v2 – Core engine and formatting by OmegaCrafter – Conceptual support from the Googology Scratch community Design Philosophy: – No fake precision or misleading mantissas – Suppresses digits when exponent dominates – Expandable for Kₙ, Lₙ, and f_{ε₀}(n) Still in Development: – Standard Form string conversion – UI toggles for formatting modes – More letter notations (Kₙ, Lₙ, Mₙ...) Changelog: v0.0.4: Fixed an even dumber infinity bug v0.0.3: Fixed the dumbest multiplication bug ever v0.0.2 – Fixed some formatting bugs Thanks for checking out break_transfinity.sb3! Built for clarity, scale, and notation honesty. Updates coming!
