# listSmooth2D -- gives the list of all smooth 2-polytopes with up to 12 lattice points

## Synopsis

• Usage:
listSmooth2D()
• Outputs:

## Description

Provides the list of all smooth 2-polytopes with up to 12 lattice points based on the classification by Benjamin Lorenz.

 i1 : L=listSmooth2D();

One can then check how many of these are Cayley.

 i2 : tally apply(L,isCayley) o2 = Tally{false => 8} true => 33 o2 : Tally