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https://doi.org/10.4169/amer.math.monthly.124.3.265 https://www.jstor.org/stable/10.4169/amer.math.monthly.124.3.265 The five Platonic polyhedra combine identical ...

Advances in fabrication technologies are enabling the production of architected materials with unprecedented properties. Most such materials are characterized by a fixed geometry, but in the design of ...

A family of sets H is ideal if the polyhedron $\{x\geq \boldsymbol{0}\colon \sum_{i\in S}x_{i}\geq 1,\forall S\in \scr{H}\}$ is integral. Consider a graph G with vertices s, t. An odd st-walk is ...