
Computation of Data Storage Requirements 97
four supporting cones are generated by the same rays, the decompositions are
the same, the generating functions are almost the same. The only difference
appears at the numerators of F (V
3
) and F (V
4
) due to the modifications of the
coordinates of these vertices. For instance, the numerator of F (V
4
) becomes
x
107
y since the new coordinates of V
4
are (107,1), while the numerators of the
two terms of F (V
3
) become x
71
y
72
and x
71
y
73
, respectively. The number of
points in the new Z-polytope is 3921.
Besides its excellent scalability, the technique sketched above, illustrated for
a 2D polytope (a quadrilateral), works ...