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Nonoword is a hybrid puzzle system that integrates the logical deduction mechanisms of nonogram puzzles with the lexical structure of grid-based word puzzles such as word squares and barred crosswords. Unlike traditional nonograms, which operate through binary cell states determined by numerical constraints, Nonoword introduces a sequential two-stage solving process. In the first stage, a lexical grid is completed using clue-based reasoning, requiring linguistic knowledge and semantic interpretation. In the second stage, nonogram-style constraints are applied to the completed grid, selectively activating or suppressing cells in order to reveal a secondary hidden output. This dual constraint system differs fundamentally from existing hybrid puzzle formats, in which multiple rule systems typically operate in parallel. In Nonoword, the relationship between systems is strictly sequential: the correctness of the second stage depends entirely on the accuracy of the first. As a result, the solving process requires the integration of combinatorial reasoning and linguistic interpretation within a unified procedural framework. The system supports multiple structural variants, including Magic Nonoword, based on symmetric lexical matrices, and Cryptic Nonoword, based on barred crossword grids with concealed secondary answers. These variants demonstrate the flexibility of the underlying concept and its applicability to different grid configurations and levels of complexity. By introducing a transformation from a completed lexical structure into a logically filtered representation, Nonoword establishes a new class of hybrid puzzles situated at the intersection of recreational mathematics and recreational linguistics.