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No acoptic polyhedral torus in R3 has exactly 10 strictly convex quadrilateral faces. This is the F = 10 case of Grünbaum–Szilassi Conjecture 3.2; with Seamons's 11-face torus it settles which face counts occur. The proof reduces to the map {4,4}(3,1) and certifies, by an LRAT proof checked with the formally verified checker cake_lpr, that it has no planar strictly convex realisation, even allowing self-intersections. Code, certificates and a one-command checker: https://github.com/LeeMarshall1113/ai-math-results (results/torus-quad10).
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Lee Marshall (2026) studied this question.
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