Presented a poster at the 2026 Joint Mathematics Meetings (JMM 2026) based on research conducted in 2025 with my advisor, Lauren Rose. Our work involves analyzing the card game Even Quads by encoding the game states into binary format and mapping them into a finite vector space. Through this framework, we identified and proved several specific theorems, including the 6-Theorem and the Cap Extension Theorem. Additionally, we conducted a structural analysis of the Quads Daily puzzle.






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