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This slide shows the basic ideas of my approach. Unlike previous works, n-cubes are used to construct DDG of (n-1)-simplices.

First, divide ...
As for the division, I will give the definition in a minute.
Shown in the left figure is the division on 3-cube. And each facet is divided into two triangles.

Next, pile ...
Shown in the middle figure is an example of 3-cubes, piled up from "+infinity" to "- infinity." Note that the division of facets makes up a division of the surface of the obtained Ps&Vs.

Finally, project ...

Then, we obtain a "flow" of ...
Shown in the right figure is the flow of 2-simplices obtained from the Ps&Vs. As you see, the division of the surface of the Ps&Vs specifies trajectories of 2-simplices on the hyperplane.