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Order-5 120-cell honeycomb

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190: 158: 143: 113: 173: 128: 418: 400: 325: 60: 345: 335: 315: 305: 100: 90: 80: 70: 434: 286: 340: 330: 320: 310: 95: 85: 75: 65: 439: 282: 189: 374: 290: 35: 391: 254: 350: 278: 258: 42: 414: 396: 157: 142: 112: 421:(Chapter 10: Regular honeycombs in hyperbolic space, Summary tables II, III, IV, V, p212-213) 246: 238: 52: 406: 386: 428: 266: 208: 183: 250: 131: 358: 176: 354: 127: 362: 262: 234: 193: 161: 146: 116: 172: 403:. (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) 18: 26: 269:. It also has 600 120-cells around each vertex. 8: 365:vertex figure and has extended symmetry ]. 301:The birectified order-5 120-cell honeycomb 21: 395:, 3rd. ed., Dover Publications, 1973. 297:Birectified order-5 120-cell honeycomb 411:The Beauty of Geometry: Twelve Essays 361:cells, and triangle faces with a 5-5 7: 14: 343: 338: 333: 328: 323: 318: 313: 308: 303: 188: 171: 156: 141: 126: 111: 98: 93: 88: 83: 78: 73: 68: 63: 58: 277:It is related to the (order-3) 223: 207: 199: 182: 167: 152: 137: 122: 107: 51: 41: 31: 16:5-dimensional regular honeycomb 287:order-5 dodecahedral honeycomb 1: 265:around each face. It is self- 36:Hyperbolic regular honeycomb 413:, Dover Publications, 1999 22:Order-5 120-cell honeycomb 456: 283:order-4 120-cell honeycomb 243:order-5 120-cell honeycomb 375:List of regular polytopes 291:order-5 pentagonal tiling 285:. It is analogous to the 261:{5,3,3,5}, it has five 245:is one of five compact 435:Honeycombs (geometry) 351:rectified 600-cells 349:constructed by all 279:120-cell honeycomb 273:Related honeycombs 239:hyperbolic 4-space 440:Self-dual tilings 392:Regular Polytopes 231: 230: 447: 348: 347: 346: 342: 341: 337: 336: 332: 331: 327: 326: 322: 321: 317: 316: 312: 311: 307: 306: 215: 192: 175: 160: 145: 130: 115: 103: 102: 101: 97: 96: 92: 91: 87: 86: 82: 81: 77: 76: 72: 71: 67: 66: 62: 61: 19: 455: 454: 450: 449: 448: 446: 445: 444: 425: 424: 383: 371: 344: 339: 334: 329: 324: 319: 314: 309: 304: 302: 299: 275: 259:Schläfli symbol 218: 213: 99: 94: 89: 84: 79: 74: 69: 64: 59: 57: 53:Coxeter diagram 43:Schläfli symbol 17: 12: 11: 5: 453: 451: 443: 442: 437: 427: 426: 423: 422: 404: 382: 379: 378: 377: 370: 367: 298: 295: 274: 271: 249:space-filling 229: 228: 225: 221: 220: 216: 211: 205: 204: 201: 197: 196: 186: 180: 179: 169: 165: 164: 154: 150: 149: 139: 135: 134: 124: 120: 119: 109: 105: 104: 55: 49: 48: 45: 39: 38: 33: 29: 28: 24: 23: 15: 13: 10: 9: 6: 4: 3: 2: 452: 441: 438: 436: 433: 432: 430: 420: 419:0-486-40919-8 416: 412: 408: 405: 402: 401:0-486-61480-8 398: 394: 393: 388: 385: 384: 380: 376: 373: 372: 368: 366: 364: 360: 356: 352: 296: 294: 292: 288: 284: 280: 272: 270: 268: 264: 260: 256: 252: 251:tessellations 248: 244: 240: 236: 226: 222: 212: 210: 209:Coxeter group 206: 202: 198: 195: 191: 187: 185: 184:Vertex figure 181: 178: 174: 170: 166: 163: 159: 155: 151: 148: 144: 140: 136: 133: 129: 125: 121: 118: 114: 110: 106: 56: 54: 50: 46: 44: 40: 37: 34: 30: 25: 20: 410: 390: 300: 276: 242: 232: 359:icosahedron 168:Edge figure 153:Face figure 27:(No image) 429:Categories 381:References 355:octahedron 255:honeycombs 224:Properties 203:Self-dual 47:{5,3,3,5} 263:120-cells 369:See also 363:duoprism 257:). With 235:geometry 227:Regular 407:Coxeter 387:Coxeter 353:, with 247:regular 233:In the 194:{3,3,5} 117:{5,3,3} 108:4-faces 417:  399:  281:, and 241:, the 177:{3,5} 138:Faces 132:{5,3} 123:Cells 415:ISBN 397:ISBN 357:and 289:and 267:dual 253:(or 200:Dual 32:Type 237:of 219:, 162:{5} 147:{5} 431:: 409:, 389:, 293:. 217:4 214:K

Index

Hyperbolic regular honeycomb
Schläfli symbol
Coxeter diagram

{5,3,3}

{5,3}

{5}

{5}

{3,5}
Vertex figure

{3,3,5}
Coxeter group
geometry
hyperbolic 4-space
regular
tessellations
honeycombs
Schläfli symbol
120-cells
dual
120-cell honeycomb
order-4 120-cell honeycomb
order-5 dodecahedral honeycomb
order-5 pentagonal tiling
rectified 600-cells

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