Knowledge

Compound of six tetrahedra

Source 📝

153: 29: 272: 209: 205: 313: 135: 201: 197: 332: 306: 190: 166: 39: 337: 299: 182: 52: 113: 213: 243: 174: 152: 255: 251: 221: 217: 178: 283: 108: 326: 170: 74: 46: 28: 279: 247: 186: 85: 128: 271: 150: 18: 234:
Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra",
236:
Mathematical Proceedings of the Cambridge Philosophical Society
196:
It is one of only five polyhedral compounds (along with the
287: 169:. It's composed of a symmetric arrangement of 6 307: 8: 210:compound of five small stellated dodecahedra 206:compound of two small stellated dodecahedra 21: 314: 300: 173:. It can be constructed by inscribing a 157:3D model of a compound of six tetrahedra 26: 7: 268: 266: 202:compound of five great dodecahedra 14: 198:compound of two great dodecahedra 270: 27: 127: 107: 99: 91: 80: 69: 58: 45: 35: 131:restricting to one constituent 1: 286:. You can help Knowledge by 191:compound of three octahedra 167:uniform polyhedron compound 22:Compound of six tetrahedra 354: 265: 163:compound of six tetrahedra 248:10.1017/S0305004100052440 189:each octahedron in the 183:compound of three cubes 282:-related article is a 158: 156: 333:Polyhedral compounds 53:truncated octahedron 16:Polyhedral compound 159: 295: 294: 214:vertex-transitive 149: 148: 345: 338:Polyhedron stubs 316: 309: 302: 274: 267: 258: 175:stella octangula 155: 40:Uniform compound 31: 19: 353: 352: 348: 347: 346: 344: 343: 342: 323: 322: 321: 320: 263: 233: 230: 222:edge-transitive 218:face-transitive 151: 144: 122: 65: 17: 12: 11: 5: 351: 349: 341: 340: 335: 325: 324: 319: 318: 311: 304: 296: 293: 292: 275: 261: 260: 229: 226: 147: 146: 142: 132: 125: 124: 120: 111: 109:Symmetry group 105: 104: 101: 97: 96: 93: 89: 88: 82: 78: 77: 71: 67: 66: 63: 60: 56: 55: 49: 43: 42: 37: 33: 32: 24: 23: 15: 13: 10: 9: 6: 4: 3: 2: 350: 339: 336: 334: 331: 330: 328: 317: 312: 310: 305: 303: 298: 297: 291: 289: 285: 281: 276: 273: 269: 264: 257: 253: 249: 245: 241: 237: 232: 231: 227: 225: 223: 219: 215: 211: 207: 203: 199: 194: 192: 188: 184: 180: 176: 172: 168: 164: 154: 141: 137: 136:antiprismatic 133: 130: 126: 119: 115: 112: 110: 106: 102: 98: 94: 90: 87: 83: 79: 76: 72: 68: 61: 57: 54: 50: 48: 44: 41: 38: 34: 30: 25: 20: 288:expanding it 277: 262: 239: 235: 195: 177:within each 162: 160: 139: 117: 242:: 447–457, 212:) which is 51:Nonuniform 47:Convex hull 327:Categories 280:polyhedron 228:References 208:, and the 187:stellating 171:tetrahedra 114:octahedral 75:tetrahedra 86:triangles 70:Polyhedra 220:but not 185:, or by 129:Subgroup 100:Vertices 256:0397554 181:in the 134:2-fold 254:  204:, the 200:, the 278:This 165:is a 92:Edges 81:Faces 59:Index 284:stub 216:and 179:cube 161:The 36:Type 244:doi 103:24 95:36 84:24 329:: 252:MR 250:, 240:79 238:, 224:. 193:. 145:) 143:2d 123:) 73:6 62:UC 315:e 308:t 301:v 290:. 259:. 246:: 140:D 138:( 121:h 118:O 116:( 64:3

Index


Uniform compound
Convex hull
truncated octahedron
tetrahedra
triangles
Symmetry group
octahedral
Subgroup
antiprismatic

uniform polyhedron compound
tetrahedra
stella octangula
cube
compound of three cubes
stellating
compound of three octahedra
compound of two great dodecahedra
compound of five great dodecahedra
compound of two small stellated dodecahedra
compound of five small stellated dodecahedra
vertex-transitive
face-transitive
edge-transitive
doi
10.1017/S0305004100052440
MR
0397554
Stub icon

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.