OMNIBAL: FROM ONE DIMENSION TO ANY DIMENSION Omnibal - Omnidimensional Midpoint balance framework
OMNIBAL: FROM ONE DIMENSION TO ANY DIMENSION Formulas, compact data structures, irregular sequences, and budget-aware coding agents By Kumaran Kanniappan Imagine a line of numbers becoming a square, a cube, and then a higher-dimensional arrangement. Now imagine choosing squares, cubes, fourth powers, or another nonnegative integer power independently of that arrangement. That is the starting point for my OMNIBAL framework : identify the rule behind a structured sequence, represent that rule compactly, and choose an aggregation algorithm that uses the structure. The opportunity is practical. When values follow an established progression, a generating formula can replace an explicit list, and an exact aggregate can sometimes replace a term-by-term loop. When the data is irregular, the system must retain the irregular information and account for the work required to inspect it. The current Python package connects AP, GP, HP , polynomial differences, geometry, OmniFit-style segmentat...