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canonical ramsey theory 1combinatorial geometry 1euclidean ramsey theory 1ramsey property 1simplices 1

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math.CO2026

All simplices exhibit canonical Ramsey property

Gennian Ge, Yang Shu, Zixiang Xu +1

The authors prove that every nondegenerate simplex possesses the canonical Ramsey property, settling a long‑standing open question in canonical Euclidean Ramsey theory and giving a…