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Small complex icosidodecahedron

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122: 352: 206: 459: 529: 522: 452: 22: 445: 515: 63: 412:, where the pentagram faces become doubly-wound pentagons ({5/2} --> {10/2}), making the internal pentagonal planes, and the three meeting at each vertex become triangles, making the external triangular planes. 432:{5,5/2} where all vertices are precise and edges coincide. The small complex icosidodecahedron resembles an icosahedron, because the great dodecahedron is completely contained inside the icosahedron. 35: 394:), 60 (doubled) edges and 12 vertices and 4 sharing faces. The faces in it are considered as two overlapping edges as topological polyhedron. 85: 41: 143: 327: 266: 294: 271: 183: 165: 103: 49: 261: 558: 276: 586: 320: 692: 573: 563: 340: 409: 568: 136: 130: 81: 308: 147: 383: 216: 351: 73: 591:
Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences
502:-dimensional star. These shapes would share vertices, similarly to how its 3D equivalent shares edges. 598: 398: 223: 363: 654: 491: 458: 421: 205: 687: 638: 622: 471: 429: 313: 651: 614: 670: 606: 634: 630: 253: 602: 284: 681: 642: 402: 451: 528: 466: 425: 521: 618: 659: 541: 495: 610: 536: 483: 391: 387: 386:. Its edges are doubled, making it degenerate. The star has 32 faces (20 375: 589:; Longuet-Higgins, M. S.; Miller, J. C. P. (1954), "Uniform polyhedra", 444: 626: 514: 408:
A very similar figure emerges as a geometrical truncation of the
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Its two-dimensional analogue would be the compound of a regular
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The small complex icosidodecahedron can be seen as a
434: 195: 8: 84:. There might be a discussion about this on 486:, {5}, representing the icosahedron as the 50:Learn how and when to remove these messages 397:A small complex icosidodecahedron can be 184:Learn how and when to remove this message 166:Learn how and when to remove this message 104:Learn how and when to remove this message 504: 129:This article includes a list of general 671:"3D uniform polyhedra x3/2o5o5*a - cid" 7: 574:Great complex rhombicosidodecahedron 564:Small complex rhombicosidodecahedron 135:it lacks sufficient corresponding 14: 655:"Small complex icosidodecahedron" 31:This article has multiple issues. 569:Complex rhombidodecadodecahedron 527: 520: 513: 457: 450: 443: 350: 274: 269: 264: 259: 204: 199:Small complex icosidodecahedron 120: 61: 20: 587:Coxeter, Harold Scott MacDonald 559:Great complex icosidodecahedron 380:small complex icosidodecahedron 39:or discuss these issues on the 1: 341:Small complex icosidodecacron 534: 464: 410:great stellated dodecahedron 646:(Table 6, degenerate cases) 401:from a number of different 709: 203: 198: 384:uniform star polyhedron 217:Uniform star polyhedron 150:more precise citations. 611:10.1098/rsta.1954.0003 693:Polyhedral compounds 74:confusing or unclear 669:Klitzing, Richard. 603:1954RSPTA.246..401C 509: 492:pentagonal polytope 439: 437:Compound polyhedron 82:clarify the article 652:Weisstein, Eric W. 505: 472:Great dodecahedron 435: 430:great dodecahedron 550: 549: 480: 479: 372: 371: 194: 193: 186: 176: 175: 168: 114: 113: 106: 54: 700: 674: 665: 664: 645: 597:(916): 401–450, 531: 524: 517: 510: 507:Compound polygon 498:, {5/2}, as the 461: 454: 447: 440: 382:is a degenerate 354: 309:Index references 279: 278: 277: 273: 272: 268: 267: 263: 262: 208: 196: 189: 182: 171: 164: 160: 157: 151: 146:this article by 137:inline citations 124: 123: 116: 109: 102: 98: 95: 89: 65: 64: 57: 46: 24: 23: 16: 708: 707: 703: 702: 701: 699: 698: 697: 678: 677: 668: 650: 649: 585: 582: 555: 418: 357: 355: 337:Dual polyhedron 332: 325: 318: 302: 289:5 | 3/2 5 275: 270: 265: 260: 258: 254:Coxeter diagram 240:= 12 (χ = −16) 236: 190: 179: 178: 177: 172: 161: 155: 152: 142:Please help to 141: 125: 121: 110: 99: 93: 90: 79: 66: 62: 25: 21: 12: 11: 5: 706: 704: 696: 695: 690: 680: 679: 676: 675: 666: 647: 581: 578: 577: 576: 571: 566: 561: 554: 551: 548: 547: 544: 539: 533: 532: 525: 518: 494:, and regular 478: 477: 474: 469: 463: 462: 455: 448: 428:{3,5} and the 417: 414: 403:vertex figures 370: 369: 366: 364:Bowers acronym 360: 359: 348: 344: 343: 338: 334: 333: 330: 323: 316: 311: 305: 304: 300: 297: 295:Symmetry group 291: 290: 287: 285:Wythoff symbol 281: 280: 256: 250: 249: 246: 245:Faces by sides 242: 241: 226: 220: 219: 214: 210: 209: 201: 200: 192: 191: 174: 173: 128: 126: 119: 112: 111: 69: 67: 60: 55: 29: 28: 26: 19: 13: 10: 9: 6: 4: 3: 2: 705: 694: 691: 689: 686: 685: 683: 672: 667: 662: 661: 656: 653: 648: 644: 640: 636: 632: 628: 624: 620: 616: 612: 608: 604: 600: 596: 592: 588: 584: 583: 579: 575: 572: 570: 567: 565: 562: 560: 557: 556: 552: 545: 543: 540: 538: 535: 530: 526: 523: 519: 516: 512: 511: 508: 503: 501: 497: 493: 490:-dimensional 489: 485: 475: 473: 470: 468: 465: 460: 456: 453: 449: 446: 442: 441: 438: 433: 431: 427: 423: 416:As a compound 415: 413: 411: 406: 404: 400: 395: 393: 389: 385: 381: 377: 367: 365: 362: 361: 353: 349: 347:Vertex figure 346: 345: 342: 339: 336: 335: 329: 322: 315: 312: 310: 307: 306: 298: 296: 293: 292: 288: 286: 283: 282: 257: 255: 252: 251: 247: 244: 243: 239: 234: 230: 227: 225: 222: 221: 218: 215: 212: 211: 207: 202: 197: 188: 185: 170: 167: 159: 149: 145: 139: 138: 132: 127: 118: 117: 108: 105: 97: 87: 86:the talk page 83: 77: 75: 70:This article 68: 59: 58: 53: 51: 44: 43: 38: 37: 32: 27: 18: 17: 658: 594: 590: 506: 499: 487: 481: 436: 419: 407: 396: 379: 373: 248:20{3}+12{5} 237: 232: 228: 180: 162: 156:January 2021 153: 134: 100: 94:January 2010 91: 80:Please help 71: 47: 40: 34: 33:Please help 30: 467:Icosahedron 426:icosahedron 399:constructed 235:= 60 (30x2) 148:introducing 682:Categories 580:References 131:references 76:to readers 36:improve it 688:Polyhedra 660:MathWorld 643:202575183 619:0080-4614 546:Compound 542:Pentagram 496:pentagram 476:Compound 392:pentagons 388:triangles 303:, , *532 42:talk page 553:See also 537:Pentagon 484:pentagon 422:compound 376:geometry 358:(3.5)/3 224:Elements 635:0062446 599:Bibcode 424:of the 390:and 12 356:(3/2.5) 144:improve 72:may be 641:  633:  625:  617:  378:, the 231:= 32, 133:, but 639:S2CID 627:91532 623:JSTOR 615:ISSN 368:Cid 213:Type 607:doi 595:246 374:In 684:: 657:. 637:, 631:MR 629:, 621:, 613:, 605:, 593:, 405:. 326:, 319:, 45:. 673:. 663:. 609:: 601:: 500:n 488:n 331:- 328:W 324:- 321:C 317:- 314:U 301:h 299:I 238:V 233:E 229:F 187:) 181:( 169:) 163:( 158:) 154:( 140:. 107:) 101:( 96:) 92:( 88:. 78:. 52:) 48:(

Index

improve it
talk page
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confusing or unclear
clarify the article
the talk page
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references
inline citations
improve
introducing
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Uniform star polyhedron
Elements
Coxeter diagram
Wythoff symbol
Symmetry group
Index references
U
C
W
Small complex icosidodecacron

Bowers acronym
geometry
uniform star polyhedron
triangles
pentagons

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