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From Patterns to Maze Structures: SMT-Based Path Synthesis and 2D/3D Construction

First seen · 7/8/2026, 08:42 PMLatest activity · 7/8/2026, 08:42 PM

This report presents a pipeline for turning input patterns, such as text or shapes, into maze structures. It encodes adjacency, path continuity, and pattern-constrained coverage as global Satisfiability Modulo Theories constraints, allowing each fixed-size instance to be solved in a single call. The synthesized route can be a planar self-avoiding path or a layered traversal with prescribed over-under crossings. These paths then act as scaffolds for planar mazes and three-dimensional woven-maze constructions. The report extends a Bridges 2026 conference paper with more representative SMT-LIB examples and a fuller construction account.

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  1. AggregatorarXiv7/8, 08:42 PMnot independentRepresentative
    From Patterns to Maze Structures: SMT-Based Path Synthesis and 2D/3D Construction