an order-4 2,4-agonal magic tesseract (4-associated, non-compact) 1 118 187 208 88 239 34 153 172 19 222 101 253 138 71 52 214 176 97 27 191 9 200 114 67 245 60 142 42 84 157 231 235 145 96 38 130 56 249 79 126 204 5 179 23 109 164 218 64 75 134 241 105 210 31 168 149 46 227 92 196 183 122 13 94 236 37 147 251 129 80 54 7 125 180 202 162 24 217 111 188 3 206 117 33 86 155 240 221 170 103 20 72 255 50 137 133 62 243 76 32 107 166 209 228 151 90 45 121 194 15 184 99 213 28 174 198 192 113 11 58 68 141 247 159 41 232 82 175 25 216 98 10 116 189 199 246 144 65 59 83 229 44 158 73 242 63 136 212 167 106 29 48 91 150 225 181 14 195 124 120 207 2 185 237 154 87 36 17 102 171 224 140 51 254 69 146 40 233 95 55 77 132 250 203 177 128 6 110 220 21 163 244 135 74 61 165 30 211 108 89 226 47 152 16 123 182 193 39 93 148 234 78 252 53 131 178 8 201 127 219 161 112 22 26 100 173 215 115 197 12 190 143 57 248 66 230 160 81 43 205 186 119 4 156 35 238 85 104 223 18 169 49 70 139 256 verification for order 4 [ono,a4c0]: the magic constant == 514 --- normality --- range:OK, no duplication:OK --- orthogonals --- x:OK, y:OK, z:OK, u:OK --- quadragonals --- +x+y+z+u:OK, -x+y+z+u:OK, +x-y+z+u:OK, -x-y+z+u:OK +x+y-z+u:OK, -x+y-z+u:OK, +x-y-z+u:OK, -x-y-z+u:OK --- panquadragonals --- pan +x+y+z+u:NG, pan -x+y+z+u:NG, pan +x-y+z+u:NG, pan -x-y+z+u:NG pan +x+y-z+u:NG, pan -x+y-z+u:NG, pan +x-y-z+u:NG, pan -x-y-z+u:NG --- triagonals --- +x+y+z:NG, -x+y+z:NG, +x-y+z:NG, -x-y+z:NG +x+y+u:NG, -x+y+u:NG, +x-y+u:NG, -x-y+u:NG +x+y+u:NG, -x+z+u:NG, +x-z+u:NG, -x-z+u:NG +y+z+u:NG, -y+z+u:NG, +y-z+u:NG, -y-z+u:NG --- pantriagonals --- pan +x+y+z:NG, pan -x+y+z:NG, pan +x-y+z:NG, pan -x-y+z:NG pan +x+y+u:NG, pan -x+y+u:NG, pan +x-y+u:NG, pan -x-y+u:NG pan +x+y+u:NG, pan -x+z+u:NG, pan +x-z+u:NG, pan -x-z+u:NG pan +y+z+u:NG, pan -y+z+u:NG, pan +y-z+u:NG, pan -y-z+u:NG --- diagonals --- +x+y:OK, -x+y:OK, +x+z:OK, -x+z:OK, +x+u:OK, -x+u:OK +y+z:OK, -y+z:OK, +y+u:OK, -y+u:OK, +z+u:OK, -z+u:OK --- pandiagonals --- pan +x+y:NG, pan -x+y:NG, pan +x+z:NG, pan -x+z:NG, pan +x+u:NG, pan -x+u:NG pan +y+z:NG, pan -y+z:NG, pan +y+u:NG, pan -y+u:NG, pan +z+u:NG, pan -z+u:NG --- associated, complete : sum == 257 --- associated:OK, complete:NG --- compact : sum(2D) == 514, sum(3D) == 1028, sum(4D) == 2056 --- xy compact:NG, xz compact:NG, xu compact:NG yz compact:NG, yu compact:NG, zu compact:NG xyz compact:NG, xyu compact:NG, xzu compact:NG, yzu compact:NG xyzu compact:NG ----- verification: OK -----