NeuroHex: Highly-Efficient Hex Coordinate System for Creating World Models to Enable Adaptive AI
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arXiv:2603.00376v1 Announce Type: new
Abstract: \textit{NeuroHex} is a hexagonal coordinate system designed to support highly efficient world models and reference frames for online adaptive AI systems. Inspired by the hexadirectional firing structure of grid cells in the human brain, NeuroHex adopts a cubic isometric hexagonal coordinate formulation that provides full 60{\deg} rotational symmetry and low-cost translation, rotation and distance computation. We develop a mathematical framework th
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--> Computer Science > Artificial Intelligence arXiv:2603.00376 [Submitted on 27 Feb 2026] Title: NeuroHex: Highly-Efficient Hex Coordinate System for Creating World Models to Enable Adaptive AI Authors: Quinn Jacobson , Joe Luo , Jingfei Xu , Shanmuga Venkatachalam , Kevin Wang , Dingchao Rong , John Paul Shen View a PDF of the paper titled NeuroHex: Highly-Efficient Hex Coordinate System for Creating World Models to Enable Adaptive AI, by Quinn Jacobson and 5 other authors View PDF HTML Abstract: \textit is a hexagonal coordinate system designed to support highly efficient world models and reference frames for online adaptive AI systems. Inspired by the hexadirectional firing structure of grid cells in the human brain, NeuroHex adopts a cubic isometric hexagonal coordinate formulation that provides full 60° rotational symmetry and low-cost translation, rotation and distance computation. We develop a mathematical framework that incorporates ring indexing, quantized angular encoding, and a hierarchical library of foundational, simple, and complex geometric shape primitives. These constructs allow low-overhead point-in-shape tests and spatial matching operations that are expensive in Cartesian coordinate systems. To support realistic settings, the NeuroHex framework can process OpenStreetMap data sets using an OSM-to-NeuroHex (\textit{OSM2Hex}) conversion tool. The OSM2Hex spatial abstraction processing pipeline can achieve a reduction of 90-99\% in geometric complexity while maintaining the relevant spatial structure map for navigation. Our initial results, based on actual city and neighborhood scale data sets, demonstrate that NeuroHex offers a highly efficient substrate for building dynamic world models to enable adaptive spatial reasoning in autonomous AI systems with continuous online learning capability. Comments: 8 + 1 pages, 9 figures, published at NICE 2026 Subjects: Artificial Intelligence (cs.AI) Cite as: arXiv:2603.00376 [cs.AI] (or arXiv:2603.00376v1 [cs...
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