# Pérez &Aacute;guila, Ricardo - Appendix C. Vertices in 4D-OPP&acute;s defined in terms of Manifold and Non-Manifold Edges and Their Corresponding 4D Configuration- 4D Ortho

Pérez &Aacute;guila, Ricardo - Appendix C. Vertices in 4D-OPP&acute;s defined in terms of Manifold and Non-Manifold Edges and Their Corresponding 4D Configuration- 4D Ortho - Download this document for free, or read online. Document in PDF available to download.

## Teaser

Appendix C Vertices in 4D-OPP’s defined in terms of Manifold and Non-Manifold Edges and Their Corresponding 4D Configurations We will describe and classify these vertices in 4D-OPP's depending on the number of Manifold and Non-Manifold edges incident to them.
In the nomenclature to use “V” means vertex, the first digit shows the number of incident Manifold edges, the “N” followed by a digit is present if there are incident Non-Manifold edges to the vertex and the digit indicates the number of such edges, and a third digit is included to distinguish between two different types that otherwise could receive the same name.
In each vertex continuous lines indicate Manifold edges and dotted lines indicate Non-Manifold edges. V0 Number of surrounding Hyper-boxes 0 4 8 Number of surrounding Hyper-boxes 16 12 Corresponding Configurations 1 13 109 132 Corresponding Configurations 253 241 V0N2 Number of surrounding Hyper-boxes 4 6 8 Corresponding Configurations 17 26 62 66 120 144 Number of surrounding Hyper-boxes 12 10 Corresponding Configurations 231 198 115 V0N5 Number of surrounding Hyper-boxes 7 Number of surrounding Hyper-boxes 9 Corresponding Configurations 105 Corresponding Configurations 147 V0N6 Number of surrounding Hyper-boxes 5 8 Number of surrounding Hyper-boxes 10 Corresponding Configurations 42 141 143 Corresponding Configurations 197 V0N7 Number of surrounding Hyper-boxes 4 5 6 7 8 Corresponding Configurations 18 43 64 72 76 106 125 Number of surrounding Hyper-boxes 12 11 10 9 Corresponding Configurations 230 209 180 184 149 116 V0N8 Number of surrounding Hyper-boxes 4 5 6 7 8 Number of surrounding Hyper-boxes 12 Corresponding Configurations 27 28 45 47 48 70 75 77 78 11 10 102 104 108 134 139 145 9 Corresponding Configurations 226 227 206 207 210 176 177 178 179 185 146 148 152 V1N4 Number of surrounding Hyper-boxes 5 Corresponding Configurations 35 117 V1N4-2 Number of surrounding Hyper-boxes 9 Correspondi...