// gyroid-cube.fe: Dump of structure. // Unit cell of gyroid, originally generated from Weaire-Phelan structure // of phelanc.fe by using the script wp2gyroid.cmd. // Larger chunks of gyroid can be displayed using transform expressions, // e.g. // transform_expr "a" 2 cells // transform_expr "ab" 4 cells // transform_expr "abc" 8 cells // transform_expr "abcabc" 64 cells // The original triangulation is rather coarse, to enable display of // large chunks. If you want to refine, doing "r; g 5" should be enough // each refinement. You could also toss in a "hessian" or two. // The default energy is squared mean curvature, since the gyroid is // unstable with respect to area. Use the commands "to_tension" and // "to_willmore" defined below if you wish to switch back and forth. // The unit cell of the gyroid is unstable with respect to area minimization, // so don't do many "g" steps with tension as the energy. "Hessian" will work, // since it converge to equilibrium. // Squared curvature energy quantity willmore energy method star_perp_sq_mean_curvature global // Conserved quantities to kill translational eigenmodes quantity xmoment conserved method vertex_scalar_integral global scalar_integrand: x quantity ymoment conserved method vertex_scalar_integral global scalar_integrand: y quantity zmoment conserved method vertex_scalar_integral global scalar_integrand: z TORUS PERIODS 4 0 0 0 4 0 0 0 4 VIEW_TRANSFORM_GENERATORS 6 1 0 0 4 // transform "a" 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 // transform "b" 0 1 0 4 0 0 1 0 0 0 0 1 1 0 0 0 // transform "c" 0 1 0 0 0 0 1 4 0 0 0 1 1 0 0 -4 // transform "d" 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 // transform "e" 0 1 0 -4 0 0 1 0 0 0 0 1 1 0 0 0 // transform "f" 0 1 0 0 0 0 1 -4 0 0 0 1 VIEW_MATRIX 0.500000000000000 0.000000000000000 0.000000000000000 -1.000000000000000 0.000000000000000 0.500000000000000 0.000000000000000 -1.000000000000000 0.000000000000000 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-1238 \ -1239 2127 1967 2128 2129 2130 2135 2136 2137 2138 \ 871 1003 858 1004 1005 1006 865 1055 1056 1057 \ 1058 -2039 843 -2040 2043 -842 -2041 2044 942 1051 \ 870 -1093 -1094 -938 941 1052 1053 1054 -1092 -1095 \ -880 -2147 2164 -1972 -2148 -2149 -2150 2163 2165 2166 \ 1976 -1990 2192 2193 -1974 -1437 -1933 -2155 -2156 -2157 \ -2158 1983 2194 2195 1506 -1436 1505 1950 -2118 2059 \ -2117 -1987 1504 -1964 -1517 -1516 -1518 -1519 -1401 -1563 \ read set facet tension 0 // since we are using squared curvature for stability linear_metric thickness := 0.004 clipped on // for switching between types of energy to_tension := { willmore.modulus := 0; set facet tension 1; recalc; } to_willmore := { set facet tension 0; willmore.modulus := 1; recalc; }