Research Article

Integer Solutions of Integral Inequalities and 𝐻 -Invariant Jacobian Poisson Structures

Figure 2

An example of the polytope 𝑇 4 in the case 𝑟 = 4 . The vertices are in ( 1 / 2 , 𝑟 1 / 2 , 2 𝑟 1 / 2 ) , ( 𝑟 2 / 3 , 2 𝑟 2 / 3 , 3 𝑟 2 / 3 ) , ( 𝑟 , 2 𝑟 1 , 3 𝑟 1 ) , ( 𝑟 , 2 𝑟 , 3 𝑟 2 ) , ( 2 𝑟 1 / 2 , 3 𝑟 1 / 2 , 1 / 2 ) , and ( 3 𝑟 1 / 2 , 1 / 2 , 𝑟 1 / 2 ) .
252186.fig.002