1pentagonal prism 2pentagonal dipyramid 32 5|2 4(4.4.5) 5dihedral group 6D 72{5}+5{4} 80 10 15 7 10 1 0 0 2 2 3 20 2 0 -1 9 0.0000000000 0.0000000000 1.0000000000 10 0.8737108351 0.0000000000 0.4864456563 11-0.3018596695 0.8199093629 0.4864456563 12-0.6651309335 -0.5665434359 0.4864456563 13 0.5718511657 0.8199093629 -0.0271086873 14 0.7485628941 -0.5665434359 -0.3445027268 15-0.9669906029 0.2533659270 -0.0271086873 16-0.2024936222 -0.9166865354 -0.3445027268 17 0.4467032247 0.2533659270 -0.8580570704 18-0.5043532916 -0.0967771725 -0.8580570704 19 0.2978495106 0.4270509831 0.5067318540 20-0.5036584607 0.1319660113 0.5067318540 21 0.2978495106 -0.8090169944 0.5067318540 22 0.6877395818 0.1319660113 -0.1935543450 23-0.2978495106 0.8090169944 -0.5067318540 24-0.6091275581 -0.3454915028 -0.1935543450 25 0.1271969263 -0.3454915028 -0.6263550179 264 0 2 4 1 274 0 3 6 2 285 0 1 5 7 3 294 1 4 8 5 305 2 6 9 8 4 314 3 7 9 6 324 5 8 9 7 333 2 0 1 343 2 3 0 353 0 4 1 363 1 5 2 373 3 4 0 383 2 6 3 393 4 5 1 403 5 6 2 413 6 4 3 423 4 5 6 43pentagonal antiprism 44pentagonal deltohedron 45|2 2 5 46(3.3.3.5) 47dihedral group 48D 492{5}+10{3} 501 10 20 12 10 1 0 0 2 2 4 20 2 0 -1 51 0.0000000000 0.0000000000 1.0000000000 52 0.8944271910 0.0000000000 0.4472135955 53 0.2763932023 0.8506508084 0.4472135955 54-0.7236067977 0.5257311121 0.4472135955 55-0.7236067977 -0.5257311121 0.4472135955 56 0.7236067977 -0.5257311121 -0.4472135955 57 0.7236067977 0.5257311121 -0.4472135955 58-0.8944271910 -0.0000000000 -0.4472135955 59-0.2763932023 -0.8506508084 -0.4472135955 60-0.0000000000 -0.0000000000 -1.0000000000 61 0.2763932023 0.2008114159 0.4472135955 62-0.1055728090 0.3249196962 0.4472135955 63-0.3416407865 -0.0000000000 0.4472135955 64 0.2763932023 -0.8506508084 0.4472135955 65 0.5527864045 0.0000000000 -0.1055728090 66 0.4472135955 0.3249196962 0.1055728090 67-0.2763932023 0.8506508084 -0.4472135955 68-0.5527864045 -0.0000000000 0.1055728090 69-0.4472135955 -0.3249196962 -0.1055728090 70 0.1055728090 -0.3249196962 -0.4472135955 71 0.3416407865 0.0000000000 -0.4472135955 72-0.2763932023 -0.2008114159 -0.4472135955 733 0 2 1 743 0 3 2 753 0 4 3 765 0 1 5 8 4 773 1 6 5 783 1 2 6 795 2 3 7 9 6 803 3 4 7 813 4 8 7 823 5 9 8 833 5 6 9 843 7 8 9 854 3 0 1 2 864 3 4 5 0 874 5 6 1 0 884 6 7 2 1 894 7 8 3 2 904 3 9 10 4 914 10 6 5 4 924 6 11 8 7 934 11 9 3 8 944 9 10 6 11 95pentagrammic prism 96pentagrammic dipyramid 972 5/2|2 98(4.4.5/2) 99dihedral group 100D 1015{4}+2{5/2} 1022 10 15 7 10 2 0 0 2 2 3 20 2 0 -1 103 0.0000000000 0.0000000000 1.0000000000 104 0.9987422138 0.0000000000 0.0501397095 105-0.9033708188 0.4259192097 0.0501397095 106 0.6354709497 -0.7704950886 0.0501397095 107 0.0953713949 0.4259192097 -0.8997205810 108 0.0182143157 -0.7704950886 0.6371856536 109-0.2678998691 -0.3445758789 -0.8997205810 110 0.6059995679 0.4761921529 0.6371856536 111-0.8851565032 -0.3445758789 -0.3126746369 112-0.2973712509 0.9021113626 -0.3126746369 113 0.2129596049 0.9510565163 0.2239189798 114-0.5982071492 -0.7694208843 0.2239189798 115 0.2129596049 -0.1004057079 0.2239189798 116 0.2536312703 -0.7694208843 -0.5862274998 117-0.2129596049 0.1004057079 -0.2239189798 118 0.7549598948 0.2938926261 -0.5862274998 119-0.6233436208 0.2938926261 0.7246170401 1204 0 2 4 1 1214 0 3 6 2 1225 0 1 5 7 3 2 1234 1 4 8 5 1245 2 6 9 8 4 2 1254 3 7 9 6 1264 5 8 9 7 1273 2 0 1 1283 2 3 0 1293 0 4 1 1303 1 5 2 1313 3 4 0 1323 2 6 3 1333 4 5 1 1343 5 6 2 1353 6 4 3 1363 4 5 6 137pentagrammic antiprism 138pentagrammic deltohedron 139|2 2 5/2 140(3.3.3.5/2) 141dihedral group 142D 14310{3}+2{5/2} 1443 10 20 12 10 2 0 0 2 2 4 20 2 0 -1 145 0.0000000000 0.0000000000 1.0000000000 146 0.9870590084 0.0000000000 -0.1603574566 147-0.1885114962 0.9688905521 -0.1603574566 148-0.9150540242 -0.3700832595 -0.1603574566 149 0.5380310318 -0.8275313256 -0.1603574566 150-0.0720049843 -0.8275313256 0.5567828907 151-0.3050180081 -0.3700832595 -0.8774978039 152 0.1440099685 0.4574480661 -0.8774978039 153 0.6545375437 0.5114424860 0.5567828907 154-0.8430490399 0.4574480661 0.2828596527 155 0.5593892211 0.6787159473 0.4758448931 156-0.7730568906 0.4194695241 0.4758448931 157-0.2641077641 -0.8389390482 0.4758448931 158 0.5593892211 -0.3035309991 0.4758448931 159 0.4273353390 -0.8389390482 -0.3369952245 160 0.3457215516 0.4194695241 -0.8393580447 161-0.5593892211 0.3035309991 -0.4758448931 162-0.1632275749 -0.5184928463 -0.8393580447 163 0.9362844655 0.0990233222 -0.3369952245 164-0.1824939766 0.0990233222 0.9782077132 165-0.8546706780 -0.5184928463 -0.0265179270 166-0.0311736929 0.9991621492 -0.0265179270 1673 0 2 1 1683 0 3 2 1693 0 4 3 1705 0 1 5 8 4 2 1713 1 6 5 1723 1 2 6 1735 2 3 7 9 6 2 1743 3 4 7 1753 4 8 7 1763 5 9 8 1773 5 6 9 1783 7 8 9 1794 3 0 1 2 1804 3 4 5 0 1814 5 6 1 0 1824 6 7 2 1 1834 7 8 3 2 1844 3 9 10 4 1854 10 6 5 4 1864 6 11 8 7 1874 11 9 3 8 1884 9 10 6 11 189pentagrammic crossed antiprism 190pentagrammic concave deltohedron 191|2 2 5/3 192(3.3.3.5/3) 193dihedral group 194D 19510{3}+2{5/3} 1964 10 20 12 10 3 0 0 2 2 4 20 2 0 -1 197 0.0000000000 0.0000000000 1.0000000000 198 0.8944271910 0.0000000000 -0.4472135955 199-0.7236067977 0.5257311121 -0.4472135955 200 0.2763932023 -0.8506508084 -0.4472135955 201 0.2763932023 0.8506508084 -0.4472135955 202-0.2763932023 0.8506508084 0.4472135955 203-0.2763932023 -0.8506508084 0.4472135955 204-0.8944271910 0.0000000000 0.4472135955 205 0.7236067977 -0.5257311121 0.4472135955 206-0.0000000000 0.0000000000 -1.0000000000 207 0.3035309991 0.9341723590 0.1875924741 208-0.7946544723 -0.5773502692 0.1875924741 209 0.9822469464 0.0000000000 0.1875924741 210 0.3035309991 0.2205281794 0.1875924741 211 0.6070619982 -0.0000000000 0.7946544723 212-0.1875924741 -0.5773502692 -0.7946544723 213-0.3035309991 -0.2205281794 -0.1875924741 214-0.6070619982 -0.0000000000 -0.7946544723 215 0.1875924741 0.5773502692 0.7946544723 216 0.7946544723 0.5773502692 -0.1875924741 217-0.9822469464 0.0000000000 -0.1875924741 218-0.3035309991 -0.9341723590 -0.1875924741 2193 0 2 1 2203 0 3 2 2213 0 4 3 2225 0 1 5 8 4 3 2233 1 6 5 2243 1 2 6 2255 2 3 7 9 6 3 2263 3 4 7 2273 4 8 7 2283 5 9 8 2293 5 6 9 2303 7 8 9 2314 3 0 1 2 2324 3 4 5 0 2334 5 6 1 0 2344 6 7 2 1 2354 7 8 3 2 2364 3 9 10 4 2374 10 6 5 4 2384 6 11 8 7 2394 11 9 3 8 2404 9 10 6 11 241tetrahedron 242tetrahedron 2433|2 3 244(3.3.3) 245tetrahedral group 246A4 2474{3} 2485 4 6 4 4 1 0 0 2 1 3 24 3 0 -1 249 0.0000000000 0.0000000000 1.0000000000 250 0.9428090416 0.0000000000 -0.3333333333 251-0.4714045208 0.8164965809 -0.3333333333 252-0.4714045208 -0.8164965809 -0.3333333333 253 0.4714045208 0.8164965809 0.3333333333 254-0.9428090416 0.0000000000 0.3333333333 255 0.4714045208 -0.8164965809 0.3333333333 256-0.0000000000 0.0000000000 -1.0000000000 2573 0 2 1 2583 0 3 2 2593 0 1 3 2603 1 2 3 2613 2 0 1 2623 2 3 0 2633 3 1 0 2643 1 2 3 265truncated tetrahedron 266triakistetrahedron 2672 3|3 268(6.6.3) 269tetrahedral group 270A4 2714{6}+4{3} 2726 12 18 8 12 1 0 0 2 2 3 24 3 0 -1 273 0.0000000000 0.0000000000 1.0000000000 274 0.7713892158 0.0000000000 0.6363636364 275-0.6428243465 0.4264014327 0.6363636364 276 0.2999846950 -0.7106690545 0.6363636364 277 0.8999540851 0.4264014327 -0.0909090909 278-0.9856639980 0.1421338109 -0.0909090909 279-0.5142594772 0.8528028654 -0.0909090909 280-0.0428549564 -0.9949366763 -0.0909090909 281 0.5571144337 0.1421338109 -0.8181818182 282 0.2571297386 0.8528028654 -0.4545454545 283-0.6856793030 -0.5685352436 -0.4545454545 284 0.0857099129 -0.5685352436 -0.8181818182 285 0.2461829820 0.8164965809 0.5222329679 286-0.6564879519 -0.5443310540 0.5222329679 287 0.2461829820 -0.1632993162 0.5222329679 288 0.8206099399 -0.5443310540 -0.1740776560 289-0.4923659639 0.3265986324 0.1044465936 290 0.3938927711 0.3265986324 -0.3133397807 291-0.4103049699 0.2721655270 -0.8703882798 292-0.1477097892 -0.4898979486 -0.3133397807 2936 0 2 6 9 4 1 2946 0 3 7 10 5 2 2953 0 1 3 2966 1 4 8 11 7 3 2973 2 5 6 2983 4 9 8 2996 5 10 11 8 9 6 3003 7 11 10 3013 2 0 1 3023 2 3 0 3033 0 4 1 3043 1 3 2 3053 3 5 0 3063 4 6 1 3073 0 6 4 3083 1 7 3 3093 3 6 5 3103 5 0 6 3113 6 7 1 3123 7 3 6 313octahemioctahedron 314octahemioctacron 3153/2 3|3 316(6.3/2.6.3) 317tetrahedral group 318A4 3194{6}+4{3}+4{3/2} 3207 12 24 12 12 0 1 0 0 3 4 24 3 1 -1 321 0.0000000000 0.0000000000 1.0000000000 322 0.8660254038 0.0000000000 0.5000000000 323-0.8660254038 0.0000000000 0.5000000000 324-0.2886751346 0.8164965809 0.5000000000 325 0.2886751346 -0.8164965809 0.5000000000 326 0.8660254038 0.0000000000 -0.5000000000 327 0.5773502692 0.8164965809 0.0000000000 328-0.5773502692 -0.8164965809 0.0000000000 329-0.8660254038 -0.0000000000 -0.5000000000 330-0.2886751346 0.8164965809 -0.5000000000 331 0.2886751346 -0.8164965809 -0.5000000000 332-0.0000000000 0.0000000000 -1.0000000000 333 0.0000000000 1.0000000000 0.0000000000 334-0.4714045208 0.3333333333 0.8164965809 335-0.9428090416 -0.3333333333 0.0000000000 336 0.4714045208 -0.3333333333 0.8164965809 337 0.4714045208 -0.3333333333 -0.8164965809 338 0.9428090416 0.3333333333 0.0000000000 339-0.9428090416 -0.3333333333 0.0000000000 340 0.4714045208 -0.3333333333 0.8164965809 341 0.0000000000 1.0000000000 0.0000000000 342-0.0000000000 -1.0000000000 0.0000000000 343 0.4714045208 -0.3333333333 -0.8164965809 344-0.4714045208 0.3333333333 -0.8164965809 3456 0 1 5 11 8 2 3463 0 2 3 2 3476 0 3 9 11 10 4 3483 0 1 4 3496 1 4 7 8 9 6 3503 1 6 5 2 3513 2 8 7 3526 2 7 10 5 6 3 3533 3 6 9 3543 4 10 7 2 3553 5 10 11 3563 8 11 9 2 3574 3 0 1 2 3584 3 4 5 0 3594 6 0 1 7 3604 8 7 1 2 3614 9 2 3 4 3624 5 7 10 0 3634 8 4 5 7 3644 6 4 9 7 3654 11 0 6 4 3664 11 2 8 4 3674 10 2 9 7 3684 10 0 11 2 369tetrahemihexahedron 370tetrahemihexacron 3713/2 3|2 372(4.3/2.4.3) 373tetrahedral group 374A4 3753{4}+2{3}+2{3/2} 3768 6 12 7 6 0 1 1 1 3 4 24 3 1 -1 377 0.0000000000 0.0000000000 1.0000000000 378 1.0000000000 0.0000000000 0.0000000000 379-1.0000000000 0.0000000000 0.0000000000 380-0.0000000000 1.0000000000 0.0000000000 381-0.0000000000 -1.0000000000 0.0000000000 382 0.0000000000 0.0000000000 -1.0000000000 383 0.0000000000 1.0000000000 0.0000000000 384-0.5773502692 0.5773502692 0.5773502692 385-1.0000000000 0.0000000000 0.0000000000 386 0.5773502692 -0.5773502692 0.5773502692 387-0.0000000000 0.0000000000 -1.0000000000 388 0.5773502692 0.5773502692 -0.5773502692 389-0.5773502692 -0.5773502692 -0.5773502692 3904 0 1 5 2 3913 0 2 3 2 3924 0 3 5 4 3933 0 1 4 3944 1 4 2 3 3953 1 3 5 2 3963 2 5 4 3974 3 0 1 2 3984 3 4 5 0 3994 6 0 1 4 4004 5 2 1 4 4014 6 2 3 4 4024 5 0 6 2 403octahedron 404hexahedron 4054|2 3 406(3.3.3.3) 407octahedral group 408S4 4098{3} 4109 6 12 8 6 1 0 0 2 1 4 48 4 0 -1 411 0.0000000000 0.0000000000 1.0000000000 412 1.0000000000 0.0000000000 0.0000000000 413 0.0000000000 1.0000000000 0.0000000000 414-1.0000000000 0.0000000000 0.0000000000 415 0.0000000000 -1.0000000000 0.0000000000 416 0.0000000000 0.0000000000 -1.0000000000 417 0.5773502692 0.5773502692 0.5773502692 418-0.5773502692 0.5773502692 0.5773502692 419-0.5773502692 -0.5773502692 0.5773502692 420 0.5773502692 -0.5773502692 0.5773502692 421 0.5773502692 -0.5773502692 -0.5773502692 422 0.5773502692 0.5773502692 -0.5773502692 423-0.5773502692 0.5773502692 -0.5773502692 424-0.5773502692 -0.5773502692 -0.5773502692 4253 0 2 1 4263 0 3 2 4273 0 4 3 4283 0 1 4 4293 1 5 4 4303 1 2 5 4313 2 3 5 4323 3 4 5 4334 3 0 1 2 4344 3 4 5 0 4354 5 6 1 0 4364 6 7 2 1 4374 7 4 3 2 4384 4 5 6 7 439hexahedron 440octahedron 4413|2 4 442(4.4.4) 443octahedral group 444S4 4456{4} 44610 8 12 6 8 1 0 0 2 1 3 48 4 0 -1 447 0.0000000000 0.0000000000 1.0000000000 448 0.9428090416 0.0000000000 0.3333333333 449-0.4714045208 0.8164965809 0.3333333333 450-0.4714045208 -0.8164965809 0.3333333333 451 0.4714045208 0.8164965809 -0.3333333333 452 0.4714045208 -0.8164965809 -0.3333333333 453-0.9428090416 0.0000000000 -0.3333333333 454 0.0000000000 0.0000000000 -1.0000000000 455 0.4082482905 0.7071067812 0.5773502692 456-0.8164965809 0.0000000000 0.5773502692 457 0.4082482905 -0.7071067812 0.5773502692 458 0.8164965809 0.0000000000 -0.5773502692 459-0.4082482905 0.7071067812 -0.5773502692 460-0.4082482905 -0.7071067812 -0.5773502692 4614 0 2 4 1 4624 0 3 6 2 4634 0 1 5 3 4644 1 4 7 5 4654 2 6 7 4 4664 3 5 7 6 4673 2 0 1 4683 2 3 0 4693 0 4 1 4703 1 5 2 4713 3 4 0 4723 5 3 2 4733 4 5 1 4743 3 4 5 475cuboctahedron 476rhombic dodecahedron 4772|3 4 478(3.4.3.4) 479octahedral group 480S4 4816{4}+8{3} 48211 12 24 14 12 1 0 0 2 2 4 48 4 0 -1 483 0.0000000000 0.0000000000 1.0000000000 484 0.8660254038 0.0000000000 0.5000000000 485 0.2886751346 0.8164965809 0.5000000000 486-0.8660254038 0.0000000000 0.5000000000 487-0.2886751346 -0.8164965809 0.5000000000 488 0.8660254038 0.0000000000 -0.5000000000 489 0.5773502692 -0.8164965809 0.0000000000 490-0.5773502692 0.8164965809 0.0000000000 491 0.2886751346 0.8164965809 -0.5000000000 492-0.8660254038 0.0000000000 -0.5000000000 493-0.2886751346 -0.8164965809 -0.5000000000 494 0.0000000000 0.0000000000 -1.0000000000 495 0.4082482905 0.2886751346 0.7071067812 496-0.4082482905 0.5773502692 0.7071067812 497-0.4082482905 -0.2886751346 0.7071067812 498 0.4082482905 -0.5773502692 0.7071067812 499 0.8164965809 -0.2886751346 0.0000000000 500 0.8164965809 0.5773502692 0.0000000000 501 0.0000000000 0.8660254038 0.0000000000 502-0.8164965809 0.2886751346 -0.0000000000 503-0.8164965809 -0.5773502692 0.0000000000 504-0.0000000000 -0.8660254038 -0.0000000000 505 0.4082482905 -0.5773502692 -0.7071067812 506 0.4082482905 0.2886751346 -0.7071067812 507-0.4082482905 0.5773502692 -0.7071067812 508-0.4082482905 -0.2886751346 -0.7071067812 5093 0 2 1 5104 0 3 7 2 5113 0 4 3 5124 0 1 6 4 5133 1 5 6 5144 1 2 8 5 5153 2 7 8 5163 3 9 7 5174 3 4 10 9 5183 4 6 10 5194 5 11 10 6 5203 5 8 11 5214 7 9 11 8 5223 9 10 11 5234 3 0 1 2 5244 3 4 5 0 5254 5 6 1 0 5264 1 7 8 2 5274 8 9 3 2 5284 4 10 11 5 5294 9 10 4 3 5304 6 12 7 1 5314 11 12 6 5 5324 12 13 8 7 5334 13 10 9 8 5344 10 11 12 13 535truncated octahedron 536tetrakishexahedron 5372 4|3 538(6.6.4) 539octahedral group 540S4 5418{6}+6{4} 54212 24 36 14 24 1 0 0 2 2 3 48 4 0 -1 543 0.0000000000 0.0000000000 1.0000000000 544 0.6000000000 0.0000000000 0.8000000000 545-0.4000000000 0.4472135955 0.8000000000 546-0.0666666667 -0.5962847940 0.8000000000 547 0.8000000000 0.4472135955 0.4000000000 548 0.5333333333 -0.5962847940 0.6000000000 549-0.8666666667 0.2981423970 0.4000000000 550-0.2000000000 0.8944271910 0.4000000000 551-0.5333333333 -0.7453559925 0.4000000000 552 0.9333333333 0.2981423970 -0.2000000000 553 0.4000000000 0.8944271910 0.2000000000 554 0.6666666667 -0.7453559925 0.0000000000 555-0.6666666667 0.7453559925 0.0000000000 556-0.9333333333 -0.2981423970 0.2000000000 557-0.4000000000 -0.8944271910 -0.2000000000 558 0.5333333333 0.7453559925 -0.4000000000 559 0.8666666667 -0.2981423970 -0.4000000000 560 0.2000000000 -0.8944271910 -0.4000000000 561-0.5333333333 0.5962847940 -0.6000000000 562-0.8000000000 -0.4472135955 -0.4000000000 563 0.0666666667 0.5962847940 -0.8000000000 564 0.4000000000 -0.4472135955 -0.8000000000 565-0.6000000000 -0.0000000000 -0.8000000000 566 0.0000000000 -0.0000000000 -1.0000000000 567 0.2581988897 0.5773502692 0.7745966692 568-0.6024640761 -0.1924500897 0.7745966692 569 0.2581988897 -0.2886751346 0.7745966692 570 0.9467292624 -0.1924500897 0.2581988897 571-0.5163977795 0.5773502692 0.3872983346 572 0.0860662966 -0.9622504486 0.2581988897 573 0.6454972244 0.5773502692 0.0000000000 574-0.9467292624 0.1924500897 -0.2581988897 575-0.0860662966 0.9622504486 -0.2581988897 576-0.6454972244 -0.5773502692 -0.0000000000 577 0.6024640761 0.1924500897 -0.7745966692 578 0.5163977795 -0.5773502692 -0.3872983346 579-0.2581988897 -0.5773502692 -0.7745966692 580-0.2581988897 0.2886751346 -0.7745966692 5816 0 2 7 10 4 1 5826 0 3 8 13 6 2 5834 0 1 5 3 5846 1 4 9 16 11 5 5854 2 6 12 7 5866 3 5 11 17 14 8 5874 4 10 15 9 5886 6 13 19 22 18 12 5896 7 12 18 20 15 10 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23 21 2 15714 3 0 1 2 15724 3 4 5 0 15734 0 6 7 1 15744 7 8 2 1 15754 2 9 10 3 15764 5 11 6 0 15774 4 12 11 5 15784 10 13 4 3 15794 6 14 15 7 15804 8 16 9 2 15814 15 17 8 7 15824 16 18 10 9 15834 11 19 14 6 15844 13 20 12 4 15854 12 21 19 11 15864 18 20 13 10 15874 14 22 17 15 15884 17 23 16 8 15894 23 24 18 16 15904 21 22 14 19 15914 20 25 21 12 15924 24 25 20 18 15934 22 24 23 17 15944 21 22 24 25 1595small rhombihexahedron 1596small rhombihexacron 15973/2 2 4| 1598(8.4.8/7.4/3) 1599octahedral group 1600S4 16013{8}+6{4}+6{4/3}+3{8/7} 160222 24 48 18 24 0 0 1 -6 4 4 48 4 0 2 1603 0.0000000000 0.0000000000 1.0000000000 1604 0.6675992222 0.0000000000 0.7445208382 1605-0.6389637427 -0.1934271362 0.7445208382 1606 0.2849157898 -0.6037480552 0.7445208382 1607-0.0977676425 0.6604015517 0.7445208382 1608 0.9727633538 -0.1934271362 0.1277395809 1609 0.5698315797 0.6604015517 0.4890416764 1610-0.3540479528 -0.7971751914 0.4890416764 1611-0.7367313852 0.4669744155 0.4890416764 1612-0.8749957112 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4549-0.8944271910 -0.0000000000 0.4472135955 4550-0.2763932023 -0.8506508084 0.4472135955 4551 0.7236067977 -0.5257311121 0.4472135955 4552 0.2763932023 -0.8506508084 -0.4472135955 4553-0.0000000000 0.0000000000 -1.0000000000 4554 0.2763932023 0.8506508084 -0.4472135955 4555 0.8944271910 0.0000000000 -0.4472135955 4556-0.7236067977 0.5257311121 -0.4472135955 4557-0.7236067977 -0.5257311121 -0.4472135955 4558 0.0000000000 -0.0000000000 1.0000000000 45595 0 2 9 6 1 2 45605 0 3 10 8 2 2 45615 0 4 6 7 3 2 45625 0 5 8 9 4 2 45635 0 1 7 10 5 2 45645 1 4 9 11 7 2 45655 1 3 5 2 4 2 45665 1 6 11 10 3 2 45675 2 5 10 11 9 2 45685 2 8 11 6 4 2 45695 3 7 11 8 5 2 45705 6 9 8 10 7 2 45715 4 0 1 2 3 45725 4 5 6 7 0 45735 0 8 6 9 1 45745 1 7 6 10 2 45755 2 9 6 5 3 45765 3 10 6 8 4 45775 7 9 2 11 0 45785 4 11 2 10 5 45795 9 10 3 11 1 45805 5 8 0 11 3 45815 8 7 1 11 4 45825 7 9 10 5 8 4583great dodecahedron 4584small stellated dodecahedron 45855/2|2 5 4586(5.5.5.5.5)/2 4587icosahedral group 4588A5 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4612-0.2763932023 0.8506508084 -0.4472135955 4613-0.2763932023 -0.8506508084 -0.4472135955 4614-0.0000000000 -0.0000000000 -1.0000000000 46155 0 2 9 6 1 46165 0 3 10 8 2 46175 0 4 6 7 3 46185 0 5 8 9 4 46195 0 1 7 10 5 46205 1 4 9 11 7 46215 1 3 5 2 4 46225 1 6 11 10 3 46235 2 5 10 11 9 46245 2 8 11 6 4 46255 3 7 11 8 5 46265 6 9 8 10 7 46275 4 0 1 2 3 46285 4 5 6 7 0 46295 0 8 6 9 1 46305 1 7 6 10 2 46315 2 9 6 5 3 46325 3 10 6 8 4 46335 7 9 2 11 0 46345 4 11 2 10 5 46355 9 10 3 11 1 46365 5 8 0 11 3 46375 8 7 1 11 4 46385 7 9 10 5 8 4639great dodecadodecahedron 4640medial rhombic triacontahedron 46412|5/2 5 4642(5/2.5.5/2.5) 4643icosahedral group 4644A5 464512{5}+12{5/2} 464640 30 60 24 30 3 0 0 -6 2 4 120 5 0 -1 4647 0.0000000000 0.0000000000 1.0000000000 4648 0.8660254038 0.0000000000 0.5000000000 4649 0.6454972244 0.5773502692 0.5000000000 4650-0.8660254038 -0.0000000000 0.5000000000 4651-0.6454972244 -0.5773502692 0.5000000000 4652 0.1102640897 0.5773502692 0.8090169944 4653 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110163 30 42 36 110175 31 35 46 53 43 3 110183 32 44 34 110194 32 33 45 44 110203 33 43 45 110214 34 44 51 41 110224 36 42 52 47 110234 37 48 49 38 110243 37 39 48 110253 38 49 46 110264 39 47 55 48 110275 40 50 57 52 42 3 110283 41 51 50 110294 43 53 54 45 110305 44 45 54 58 51 3 110314 46 49 56 53 110323 47 52 55 110335 48 55 59 56 49 3 110344 50 51 58 57 110354 52 57 59 55 110363 53 56 54 110374 54 56 59 58 110383 57 58 59 110394 3 0 1 2 110404 3 4 5 0 110414 0 6 7 1 110424 1 8 9 2 110434 2 10 4 3 110444 5 11 6 0 110454 4 12 13 5 110464 7 14 15 1 110474 11 16 7 6 110484 9 17 10 2 110494 8 18 17 9 110504 15 19 8 1 110514 10 20 12 4 110524 5 21 22 11 110534 20 23 13 12 110544 13 24 21 5 110554 16 25 14 7 110564 25 26 15 14 110574 22 27 16 11 110584 17 28 29 10 110594 19 30 18 8 110604 18 31 28 17 110614 26 30 19 15 110624 29 32 20 10 110634 21 33 27 22 110644 23 34 24 13 110654 32 35 23 20 110664 34 33 21 24 110674 16 36 37 25 110684 37 38 26 25 110694 27 39 36 16 110704 31 40 29 28 110714 30 41 42 18 110724 42 43 31 18 110734 26 44 41 30 110744 40 35 32 29 110754 33 45 39 27 110764 23 46 47 34 110774 35 48 46 23 110784 47 49 33 34 110794 36 50 38 37 110804 38 51 44 26 110814 45 50 36 39 110824 43 52 40 31 110834 44 53 42 41 110844 53 52 43 42 110854 40 54 48 35 110864 49 55 45 33 110874 46 56 49 47 110884 54 56 46 48 110894 50 57 51 38 110904 57 53 44 51 110914 55 58 50 45 110924 52 59 54 40 110934 53 60 59 52 110944 56 58 55 49 110954 60 56 54 59 110964 58 61 57 50 110974 61 60 53 57 110984 56 58 61 60 11099great truncated icosidodecahedron 11100great disdyakistriacontahedron 111015/3 2 3| 11102(10/3.4.6) 11103icosahedral group 11104A5 1110520{6}+30{4}+12{10/3} 1110672 120 180 62 120 13 0 0 2 3 3 120 5 0 -1 11107 0.0000000000 0.0000000000 1.0000000000 11108 0.8541299615 0.0000000000 0.5200596205 11109 0.0775955677 0.8505979773 0.5200596205 11110-0.8315867367 -0.1949397099 0.5200596205 11111 0.4038441822 0.8505979773 0.3367387081 11112 0.8766731863 -0.1949397099 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57 113234 48 60 72 61 1132410 50 61 72 84 95 105 97 86 74 62 3 113256 51 63 75 88 76 64 113266 54 66 78 91 79 67 113274 58 67 79 70 113284 59 71 80 68 113296 60 73 85 96 84 72 113304 64 76 85 73 113314 65 74 86 77 113324 69 82 93 81 1133310 70 79 91 100 108 114 110 103 93 82 3 113346 71 83 94 102 92 80 113354 75 87 98 88 1133610 76 88 98 107 113 116 111 104 96 85 3 113376 77 86 97 106 99 89 113384 78 90 100 91 113396 81 93 103 107 98 87 113404 83 89 99 94 113414 84 96 104 95 113426 90 101 109 115 108 100 113434 92 102 109 101 1134410 94 99 106 112 117 119 118 115 109 102 3 113456 95 104 111 117 112 105 113464 97 105 112 106 113474 103 110 113 107 113484 108 115 118 114 113496 110 114 118 119 116 113 113504 111 116 119 117 113513 2 0 1 113523 2 3 0 113533 0 4 1 113543 1 5 2 113553 3 6 0 113563 2 7 3 113573 4 5 1 113583 0 8 4 113593 5 9 2 113603 7 6 3 113613 6 10 0 113623 9 7 2 113633 4 11 5 113643 0 12 8 113653 8 13 4 113663 5 14 9 113673 7 15 6 113683 10 16 0 113693 6 17 10 113703 14 7 9 113713 11 18 5 113723 13 11 4 113733 12 13 8 113743 0 19 12 113753 5 20 14 113763 7 21 15 113773 15 17 6 113783 17 16 10 113793 16 19 0 113803 14 22 7 113813 13 18 11 113823 18 23 5 113833 12 24 13 113843 19 25 12 113853 5 26 20 113863 20 27 14 113873 21 17 15 113883 7 28 21 113893 17 29 16 113903 16 25 19 113913 22 30 7 113923 27 22 14 113933 13 31 18 113943 23 26 5 113953 18 32 23 113963 24 33 13 113973 25 24 12 113983 26 27 20 113993 21 34 17 114003 30 28 7 114013 28 35 21 114023 17 36 29 114033 29 25 16 114043 27 30 22 114053 13 37 31 114063 31 32 18 114073 32 26 23 114083 25 33 24 114093 33 38 13 114103 26 39 27 114113 34 40 17 114123 35 34 21 114133 30 35 28 114143 36 25 29 114153 17 41 36 114163 27 42 30 114173 37 32 31 114183 38 37 13 114193 32 39 26 114203 25 43 33 114213 33 44 38 114223 39 45 27 114233 35 40 34 114243 40 41 17 114253 42 35 30 114263 36 46 25 114273 41 47 36 114283 27 48 42 114293 37 49 32 114303 44 37 38 114313 32 45 39 114323 25 50 43 114333 43 44 33 114343 45 51 27 114353 35 52 40 114363 40 47 41 114373 48 35 42 114383 46 50 25 114393 47 46 36 114403 51 48 27 114413 49 53 32 114423 44 49 37 114433 32 54 45 114443 50 44 43 114453 45 55 51 114463 35 56 52 114473 52 47 40 114483 48 57 35 114493 47 50 46 114503 55 48 51 114513 44 53 49 114523 53 54 32 114533 54 55 45 114543 50 58 44 114553 56 47 52 114563 57 56 35 114573 55 57 48 114583 47 58 50 114593 44 59 53 114603 53 55 54 114613 58 60 44 114623 56 61 47 114633 55 56 57 114643 47 60 58 114653 60 59 44 114663 59 55 53 114673 61 60 47 114683 55 61 56 114693 60 55 59 114703 61 60 55 11471great inverted snub icosidodecahedron 11472great inverted pentagonal hexecontahedron 11473|5/3 2 3 11474(3.5/3.3.3.3) 11475icosahedral group 11476A5 1147780{3}+12{5/3} 1147873 60 150 92 60 13 0 0 2 2 5 120 5 0 -1 11479 0.0000000000 0.0000000000 1.0000000000 11480 0.9794318115 0.0000000000 -0.2017754361 11481-0.2475810566 0.9476234979 -0.2017754361 11482 0.6794635566 0.7054189880 -0.2017754361 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40 50 117033 40 51 50 117043 41 52 51 117053 41 42 52 117065 42 43 53 58 52 3 117073 43 44 53 117083 44 45 53 117093 45 54 53 117103 46 47 55 117113 47 56 55 117123 47 48 56 117133 48 49 56 117145 49 50 57 59 56 3 117153 50 51 57 117163 51 52 57 117173 52 58 57 117183 53 54 58 117193 54 59 58 117203 54 55 59 117213 55 56 59 117223 57 58 59 117235 4 0 1 2 3 117245 4 5 6 7 0 117255 7 8 9 1 0 117265 1 10 11 12 2 117275 12 13 14 3 2 117285 14 15 5 4 3 117295 15 16 17 6 5 117305 6 18 19 8 7 117315 19 20 21 9 8 117325 21 22 23 1 9 117335 23 24 25 10 1 117345 25 26 27 11 10 117355 27 28 13 12 11 117365 28 29 30 14 13 117375 14 31 32 16 15 117385 32 33 34 17 16 117395 34 35 36 6 17 117405 36 37 38 18 6 117415 38 39 20 19 18 117425 20 40 41 22 21 117435 41 42 24 23 22 117445 42 43 26 25 24 117455 43 44 45 27 26 117465 27 46 47 29 28 117475 47 48 49 30 29 117485 49 50 31 14 30 117495 50 51 33 32 31 117505 33 52 53 35 34 117515 53 54 37 36 35 117525 54 55 39 38 37 117535 55 56 57 20 39 117545 57 58 59 40 20 117555 59 60 42 41 40 117565 42 61 62 44 43 117575 62 63 64 45 44 117585 64 65 46 27 45 117595 65 66 48 47 46 117605 48 67 51 50 49 117615 67 68 69 33 51 117625 69 70 71 52 33 117635 71 72 54 53 52 117645 54 73 74 56 55 117655 74 75 58 57 56 117665 75 76 60 59 58 117675 76 77 61 42 60 117685 77 78 63 62 61 117695 63 79 66 65 64 117705 79 80 81 48 66 117715 81 82 68 67 48 117725 82 83 70 69 68 117735 83 84 72 71 70 117745 84 85 73 54 72 117755 85 86 75 74 73 117765 75 87 78 77 76 117775 87 88 89 63 78 117785 89 90 80 79 63 117795 90 83 82 81 80 117805 83 91 86 85 84 117815 91 88 87 75 86 117825 88 89 90 83 91 11783great dodecahemidodecahedron 11784great dodecahemidodecacron 117855/3 5/2|5/3 11786(10/3.5/3.10/3.5/2) 11787icosahedral group 11788A5 117896{10/3}+6{5/2}+6{5/3} 1179074 30 60 18 30 0 1 1 -12 3 4 120 5 1 -1 11791 0.0000000000 0.0000000000 1.0000000000 11792 0.9510565163 0.0000000000 -0.3090169944 11793-0.9510565163 0.0000000000 -0.3090169944 11794-0.4253254042 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11816-0.6881909602 -0.5257311121 -0.5000000000 11817-0.9510565163 -0.0000000000 0.3090169944 11818-0.4253254042 0.8506508084 0.3090169944 11819 0.4253254042 -0.8506508084 0.3090169944 11820 0.0000000000 -0.0000000000 -1.0000000000 11821 0.0000000000 1.0000000000 0.0000000000 11822-0.7236067977 0.4472135955 0.5257311121 11823-0.8944271910 -0.4472135955 0.0000000000 11824 0.7236067977 -0.4472135955 0.5257311121 11825-0.2763932023 -0.4472135955 -0.8506508084 11826 0.2763932023 0.4472135955 -0.8506508084 11827-0.2763932023 -0.4472135955 -0.8506508084 11828-0.2763932023 -0.4472135955 0.8506508084 11829 0.7236067977 -0.4472135955 -0.5257311121 11830-0.8944271910 -0.4472135955 -0.0000000000 11831 0.8944271910 0.4472135955 -0.0000000000 11832-0.7236067977 0.4472135955 -0.5257311121 11833 0.0000000000 -1.0000000000 -0.0000000000 11834-0.0000000000 1.0000000000 -0.0000000000 11835 0.2763932023 0.4472135955 0.8506508084 11836-0.2763932023 -0.4472135955 0.8506508084 11837 0.7236067977 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15 4 118844 17 2 14 7 118854 16 2 15 4 118864 16 0 17 2 11887great icosihemidodecahedron 11888great icosihemidodecacron 118893/2 3|5/3 11890(10/3.3/2.10/3.3) 11891icosahedral group 11892A5 118936{10/3}+10{3}+10{3/2} 1189475 30 60 26 30 0 1 1 -4 3 4 120 5 1 -1 11895 0.0000000000 0.0000000000 1.0000000000 11896 0.9510565163 0.0000000000 -0.3090169944 11897-0.9510565163 0.0000000000 -0.3090169944 11898 0.4253254042 0.8506508084 -0.3090169944 11899-0.4253254042 -0.8506508084 -0.3090169944 11900-0.5877852523 0.0000000000 -0.8090169944 11901-0.1624598481 0.8506508084 0.5000000000 11902 0.1624598481 -0.8506508084 0.5000000000 11903 0.5877852523 -0.0000000000 -0.8090169944 11904-0.2628655561 -0.5257311121 -0.8090169944 11905 0.6881909602 -0.5257311121 0.5000000000 11906-0.6881909602 0.5257311121 0.5000000000 11907 0.2628655561 0.5257311121 -0.8090169944 11908 0.5257311121 -0.8506508084 -0.0000000000 11909-0.5877852523 -0.0000000000 0.8090169944 11910-0.8506508084 -0.5257311121 -0.0000000000 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2 8 7 1195810 2 7 16 24 28 21 22 15 10 3 3 119593 3 10 9 119603 4 12 11 2 1196110 5 6 10 9 18 17 25 24 20 13 3 119623 5 13 14 119633 6 15 10 1196410 7 8 18 19 23 22 14 13 12 11 3 119653 7 11 16 2 119663 8 17 18 2 119673 9 18 19 2 119683 12 20 13 119693 14 22 21 2 119703 15 23 22 2 119713 16 25 24 119723 17 26 25 119733 19 23 27 119743 20 28 24 2 119753 21 28 29 119763 26 29 27 2 119774 3 0 1 2 119784 3 4 5 0 119794 6 0 1 7 119804 8 7 1 2 119814 9 2 3 4 119824 5 10 11 0 119834 12 4 5 10 119844 6 13 14 7 119854 15 0 6 13 119864 8 10 16 2 119874 12 7 8 10 119884 9 13 14 4 119894 17 2 9 13 119904 17 10 11 13 119914 18 13 11 0 119924 19 4 12 7 119934 20 4 14 7 119944 21 0 15 10 119954 16 13 15 10 119964 22 13 16 2 119974 23 2 17 10 119984 18 7 24 0 119994 19 13 18 7 120004 22 4 19 13 120014 20 10 23 7 120024 21 4 20 10 120034 25 0 21 4 120044 25 2 22 4 120054 24 2 23 7 120064 24 0 25 2 12007small retrosnub icosicosidodecahedron 12008small hexagrammic hexecontahedron 12009|3/2 3/2 5/2 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31 32 20 3 124924 21 23 35 33 3 124934 22 31 43 34 124944 25 37 39 27 3 124954 26 38 44 32 124964 28 29 41 40 3 1249710 28 30 42 52 58 59 55 47 36 29 7 124984 30 42 50 40 124994 33 34 46 45 1250010 33 35 42 50 57 59 56 53 43 34 3 125014 35 42 52 45 3 125024 36 41 51 47 1250310 37 38 44 53 54 58 57 51 47 39 3 125044 37 48 49 38 125054 39 48 55 47 3 125064 43 46 54 53 3 125074 44 49 56 53 125084 50 57 58 52 3 125094 51 57 59 55 125104 54 58 59 56 3 125114 3 0 1 2 125124 3 4 5 0 125134 0 6 7 1 125144 1 4 5 2 125154 2 8 9 3 125164 5 10 6 0 125174 3 11 12 4 125184 7 5 10 1 125194 6 13 14 7 125204 5 15 8 2 125214 1 16 12 4 125224 9 5 15 3 125234 8 13 14 9 125244 10 17 18 6 125254 3 16 1 11 125264 11 17 18 12 125274 14 19 5 7 125284 17 20 1 10 125294 6 19 5 13 125304 15 21 22 8 125314 16 21 22 12 125324 14 23 5 9 125334 21 24 3 15 125344 8 23 5 13 125354 18 1 20 6 125364 1 25 17 11 125374 3 26 21 16 125384 25 12 18 1 125394 14 27 28 19 125404 17 27 28 20 125414 6 29 28 19 125424 22 3 24 8 125434 26 12 22 3 125444 14 30 31 23 125454 21 30 31 24 125464 8 32 31 23 125474 28 33 6 20 125484 25 34 35 17 125494 26 34 35 21 125504 34 36 12 25 125514 14 29 6 27 125524 17 33 6 27 125534 29 31 32 28 125544 31 37 8 24 125554 34 38 12 26 125564 14 32 8 30 125574 21 37 8 30 125584 28 36 34 33 125594 35 12 36 17 125604 38 21 35 12 125614 14 39 31 29 125624 17 40 34 33 125634 39 28 32 14 125644 31 38 34 37 125654 21 41 34 37 125664 28 40 17 36 125674 31 41 21 38 125684 39 34 40 31 125694 41 28 39 34 125704 28 40 31 41 12571great retrosnub icosidodecahedron 12572great pentagrammic hexecontahedron 12573|3/2 5/3 2 12574(3.3/2.3.5/3.3) 12575icosahedral group 12576A5 1257760{3}+12{5/3}+20{3/2} 1257878 60 150 92 60 37 0 0 2 3 5 120 5 0 -1 12579 0.0000000000 0.0000000000 1.0000000000 12580 0.8737818460 0.0000000000 -0.4863180910 12581-0.8272355164 -0.2813825063 -0.4863180910 12582 0.6925555704 0.5327865392 -0.4863180910 12583-0.4840908004 -0.7274275300 -0.4863180910 12584-0.8272355164 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128043 41 42 51 128055 42 52 58 57 51 3 128063 42 43 52 128073 43 44 52 2 128083 44 53 52 128093 45 54 53 128103 45 46 54 128115 46 47 55 59 54 3 128123 47 48 55 128133 48 49 55 2 128143 49 56 55 128153 50 57 56 128163 50 51 57 128173 52 53 58 128183 53 54 58 2 128193 54 59 58 128203 55 56 59 128213 56 57 59 2 128223 57 58 59 128235 4 0 1 2 3 128245 4 5 6 7 0 128255 7 8 9 1 0 128265 9 10 11 2 1 128275 11 12 13 3 2 128285 3 14 15 5 4 128295 15 16 17 6 5 128305 17 18 19 7 6 128315 7 20 21 22 8 128325 22 23 10 9 8 128335 10 24 25 12 11 128345 25 26 27 13 12 128355 27 28 29 3 13 128365 29 30 31 14 3 128375 31 32 16 15 14 128385 16 33 34 18 17 128395 34 35 36 19 18 128405 36 37 20 7 19 128415 37 38 39 21 20 128425 39 40 23 22 21 128435 40 41 42 10 23 128445 42 43 44 24 10 128455 44 45 26 25 24 128465 26 46 47 28 27 128475 47 48 30 29 28 128485 48 49 32 31 30 128495 49 50 51 16 32 128505 51 52 53 33 16 128515 53 54 35 34 33 128525 35 55 38 37 36 128535 55 56 57 39 38 128545 39 58 59 41 40 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