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math.CO2025
Drums of high width
Alex Davies, Prateek Gupta, Sebastien Racaniere +4
We provide a family of -dimensional prismatoids whose width grows linearly in the number of vertices. This provides a new infinite family of counter-examples to the Hirsch conje…
math.CO2025
Advancing Geometry with AI: Multi-agent Generation of Polytopes
Grzegorz Swirszcz, Adam Zsolt Wagner, Geordie Williamson +7
Polytopes are one of the most primitive concepts underlying geometry. Discovery and study of polytopes with complex structures provides a means of advancing scientific knowledge. C…