Knowledge

Compound of five cuboctahedra

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29: 248: 289: 308: 282: 146: 39: 313: 275: 172: 154: 125: 104: 76: 219: 231: 227: 259: 99: 302: 150: 61: 197: 28: 255: 223: 72: 142: 119: 247: 175:
for the vertices of this compound are all the cyclic permutations of
18: 210:
Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra",
212:
Mathematical Proceedings of the Cambridge Philosophical Society
263: 283: 8: 21: 290: 276: 26: 7: 244: 242: 14: 246: 27: 118: 98: 90: 82: 67: 56: 45: 35: 122:restricting to one constituent 22:Compound of five cuboctahedra 1: 262:. You can help Knowledge by 147:uniform polyhedron compound 330: 241: 224:10.1017/S0305004100052440 200:(sometimes written φ). 258:-related article is a 149:is a composition of 5 173:Cartesian coordinates 168:Cartesian coordinates 309:Polyhedral compounds 16:Polyhedral compound 271: 270: 182:(±τ, ±τ, ±(2τ−1)) 139: 138: 321: 314:Polyhedron stubs 292: 285: 278: 250: 243: 234: 195: 194: 40:Uniform compound 31: 19: 329: 328: 324: 323: 322: 320: 319: 318: 299: 298: 297: 296: 239: 209: 206: 192: 190: 170: 162: 133: 112: 52: 17: 12: 11: 5: 327: 325: 317: 316: 311: 301: 300: 295: 294: 287: 280: 272: 269: 268: 251: 237: 236: 218:(3): 447–457, 205: 202: 187: 186: 183: 180: 169: 166: 160: 137: 136: 131: 123: 116: 115: 110: 102: 100:Symmetry group 96: 95: 92: 88: 87: 84: 80: 79: 69: 65: 64: 58: 54: 53: 50: 47: 43: 42: 37: 33: 32: 24: 23: 15: 13: 10: 9: 6: 4: 3: 2: 326: 315: 312: 310: 307: 306: 304: 293: 288: 286: 281: 279: 274: 273: 267: 265: 261: 257: 252: 249: 245: 240: 233: 229: 225: 221: 217: 213: 208: 207: 203: 201: 199: 189:where τ = (1+ 184: 181: 178: 177: 176: 174: 167: 165: 163: 156: 152: 148: 144: 134: 127: 124: 121: 117: 113: 106: 103: 101: 97: 93: 89: 85: 81: 78: 74: 70: 66: 63: 59: 55: 48: 44: 41: 38: 34: 30: 25: 20: 264:expanding it 253: 238: 215: 211: 198:golden ratio 188: 185:(±1, ±τ, ±τ) 171: 158: 151:cuboctahedra 140: 129: 126:pyritohedral 108: 62:cuboctahedra 196:)/2 is the 179:(±2, 0, ±2) 155:icosahedral 105:icosahedral 303:Categories 256:polyhedron 204:References 157:symmetry 153:. It has 73:triangles 57:Polyhedra 143:geometry 120:Subgroup 91:Vertices 232:0397554 191:√ 145:, this 77:squares 230:  254:This 83:Edges 75:, 30 68:Faces 46:Index 260:stub 86:120 36:Type 220:doi 141:In 94:60 71:40 305:: 228:MR 226:, 216:79 214:, 164:. 135:) 114:) 60:5 51:59 49:UC 291:e 284:t 277:v 266:. 235:. 222:: 193:5 161:h 159:I 132:h 130:T 128:( 111:h 109:I 107:(

Index


Uniform compound
cuboctahedra
triangles
squares
Symmetry group
icosahedral
Subgroup
pyritohedral
geometry
uniform polyhedron compound
cuboctahedra
icosahedral
Cartesian coordinates
golden ratio
doi
10.1017/S0305004100052440
MR
0397554
Stub icon
polyhedron
stub
expanding it
v
t
e
Categories
Polyhedral compounds
Polyhedron stubs

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