listSmooth2D()Provides the list of all smooth 2-polytopes with up to 12 lattice points based on the classification by Benjamin Lorenz.
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One can then check how many of these are Cayley.
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The object listSmooth2D is a function closure.
The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/LatticePolytopes.m2:950:0.