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Compound of three tetrahedra

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202: 29: 196:, with 3 skew squares. Each tetrahedron contains one skew square. This regular compound polygon containing the same symmetry as the uniform polyhedral compound. 125: 104: 201: 166: 51: 279: 39: 173: 193: 181: 145: 177: 28: 252: 158: 224: 255: 236: 232: 99: 273: 228: 154: 149: 260: 76: 157:
rotated by 60 degree turns along an axis of the middle of an edge. It has
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A subset of edges of this compound polyhedron can generate a compound
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Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra",
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Mathematical Proceedings of the Cambridge Philosophical Society
8: 21: 26: 176:with 90 degree turns. It has the same 7: 14: 22:Compound of 3 digonal antiprisms 200: 167:prismatic compound of antiprisms 27: 116: 98: 90: 82: 71: 61: 47: 35: 256:"Compound of three tetrahedra" 1: 165:, order 12. It is a uniform 153:can be constructed by three 296: 174:compound of two tetrahedra 229:10.1017/S0305004100052440 172:It is similar to the 280:Polyhedral compounds 194:regular skew polygon 65:3 digonal antiprisms 182:hexagonal antiprism 16:Polyhedral compound 253:Weisstein, Eric W. 178:vertex arrangement 122:to one constituent 188:Related polytopes 159:dihedral symmetry 137: 136: 287: 266: 265: 239: 204: 57:(n=3, p=2, q=1) 31: 19: 295: 294: 290: 289: 288: 286: 285: 284: 270: 269: 251: 250: 247: 214: 211: 190: 164: 130: 121: 109: 66: 55: 41: 17: 12: 11: 5: 293: 291: 283: 282: 272: 271: 268: 267: 246: 245:External links 243: 242: 241: 210: 207: 206: 205: 189: 186: 180:as the convex 162: 135: 134: 128: 123: 114: 113: 107: 102: 100:Symmetry group 96: 95: 92: 88: 87: 84: 80: 79: 73: 69: 68: 63: 59: 58: 53: 49: 45: 44: 37: 33: 32: 24: 23: 15: 13: 10: 9: 6: 4: 3: 2: 292: 281: 278: 277: 275: 263: 262: 257: 254: 249: 248: 244: 238: 234: 230: 226: 222: 218: 213: 212: 208: 203: 199: 198: 197: 195: 187: 185: 183: 179: 175: 170: 168: 160: 156: 152: 151: 147: 142: 132: 131: 124: 119: 115: 111: 110: 103: 101: 97: 93: 89: 85: 81: 78: 74: 70: 67:(tetrahedra) 64: 60: 56: 50: 48:Uniform index 46: 43: 38: 34: 30: 25: 20: 259: 220: 216: 191: 171: 144: 138: 126: 105: 223:: 447–457, 120:restricting 112:, order 12 209:References 155:tetrahedra 150:tetrahedra 133:, order 4 261:MathWorld 148:of three 77:triangles 62:Polyhedra 274:Category 169:, UC23. 161:, D 146:compound 141:geometry 118:Subgroup 91:Vertices 42:compound 237:0397554 40:Uniform 235:  83:Edges 72:Faces 143:, a 36:Type 225:doi 139:In 94:12 86:24 75:12 276:: 258:. 233:MR 231:, 221:79 219:, 184:. 163:3d 129:2d 108:6d 54:23 52:UC 264:. 240:. 227:: 127:D 106:D

Index


Uniform
compound

UC23
triangles
Symmetry group
D6d
Subgroup
D2d
geometry
compound
tetrahedra
tetrahedra
dihedral symmetry
prismatic compound of antiprisms
compound of two tetrahedra
vertex arrangement
hexagonal antiprism
regular skew polygon

doi
10.1017/S0305004100052440
MR
0397554
Weisstein, Eric W.
"Compound of three tetrahedra"
MathWorld
Category
Polyhedral compounds

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