Computing the Discrete Compactness of Orthogonal Pseudo-Polytopes via Their 𝑛D-EVM Representation

Figure 5

Computing the number of face adjacencies, perpendicular to X₁-axis, between the voxels that originally defined a 3D-OPP now expressed with a 3D-EVM (see text for details).

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(g) ${\pi }_1(S_1^1(p))$, Area: 64 u²

(h) ${\pi }_1(S_2^1(p))$, Area: 48 u²

(i) $S_{\mathrm{int}\hspace{0.17em}}={\pi }_1(S_1^1(p))\cap *{\pi }_1(S_2^1(p))$ Area: 48 u²