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A family of rank $4$ non-algebraic matroids with pseudomodular dual (2511.10417v1)
Published 13 Nov 2025 in math.CO
Abstract: The Tic-Tac-Toe matroid is a paving matroid of rank $5$ on 9 elements which is pseudomodular and whose dual is non-algebraic. It has been proposed as a possible example of an algebraic matroid whose dual is not algebraic. We present an infinite family of matroids sharing these properties and generalizing the Tic-Tac-Toe matroid.
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