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Firstly, let’s consider another type of roof, that is, standard roof.

For subset A of standard lattice L3, Roof A is a set of points (l, m, n) in R3 which satisfy …

As shown below, Roof* A is obtained by putting as …


Shown on the left is a standard cone generated by three peaks, x1l+1x2mx3n, x1lx2m+2x3n, and x1l+1x2mx3n+1. And, by putting two cubes on the cone, we obtain the roof, shown on the right, which is equal to Cone { x1lx2mx3n }.