A Hyperbolic Variant of Tic-Tac-Toe

Year: 2023 Authors: Sarah Chen; Manil Suri

Core claim

With modified rules, hyperbolic tic-tac-toe and a spherical variant both allow either player to force a draw, and a cell-based criterion helps choose optimal moves.

Topics

tic-tac-toe variants, hyperbolic geometry, game strategy, pedagogy, crochet geometry

Domains

combinatorial games, non-Euclidean geometry, hyperbolic plane, spherical geometry, crochet, mathematical visualization, craft-based modeling, educational game design

Methods

case analysis, move-tree reasoning, symmetry arguments, strategy evaluation

Media

crocheted board, 13-cell hyperbolic board, six-cell spherical board, paper diagrams

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.