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Pentagonal trapezohedron

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double-zero is commonly interpreted as 100. Some ten-sided dice (often called 'Percentile Dice') are sold in sets of two where one is numbered from 0 to 9 and the other from 00 to 90 in increments of 10, thus making it impossible to misinterpret which one is the tens and which the units die. Ten-sided dice may also be marked 1 to 10 when a random number in this range is desirable.
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Ten-sided dice are commonly numbered from 0 to 9, as this allows two to be rolled in order to easily obtain a percentile result. Where one die represents the 'tens', the other represents 'units' therefore a result of 7 on the former and 0 on the latter would be combined to produce 70. A result of
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the edges. This enables the die to tumble so that the outcome is less predictable. One such refinement became notorious at the 1980
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Subsequent patents on ten-sided dice have made minor refinements to the basic design by rounding or
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Generalized formula of uniform polyhedron (trapezohedron) having 2n congruent right kite faces
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die can be labeled with the numbers 0-9 twice to use for percentages instead.
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when the patent was incorrectly thought to cover ten-sided dice in general.
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in the middle. It can also be decomposed into two pentagonal pyramids and a
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The big news of the year was that someone had 'invented' the ten-sided die
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is the third in an infinite series of face-transitive polyhedra which are
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The pentagonal trapezohedron was patented for use as a
593: 615:www.georgehart.com: The Encyclopedia of Polyhedra 1057: 307:The pentagonal trapezohedron also exists as a 657: 566: 18: 664: 650: 259: 23: 1058: 645: 594: 573:(3rd ed.). Tarquin. p. 117. 567:Cundy, H. M.; Rollett, A. P. (1981). 671: 543:"Greg Peterson about Gen Con 1980: 302: 13: 226:. It has ten faces (i.e., it is a 14: 1082: 578: 478: 465: 458: 451: 444: 437: 417: 410: 403: 396: 389: 315: 255: 107: 102: 97: 92: 87: 79: 74: 69: 64: 59: 24: 194: 182: 168: 150: 140: 132: 124: 116: 54: 42: 32: 535: 522: 240:It can be decomposed into two 1: 634:Conway Notation for Polyhedra 516: 1044:Degenerate polyhedra are in 485: 429: 381: 336: 7: 863:pentagonal icositetrahedron 804:truncated icosidodecahedron 323: 10: 1087: 893:pentagonal hexecontahedron 853:deltoidal icositetrahedron 560: 280:-based skills; however, a 1042: 976: 951: 933: 926: 901: 888:disdyakis triacontahedron 883:deltoidal hexecontahedron 817: 725: 680: 613:Virtual Reality Polyhedra 377:Apeirogonal trapezohedron 19:Pentagonal trapezohedron 364:Pentagonal trapezohedron 359:Tetragonal trapezohedron 994:gyroelongated bipyramid 868:rhombic triacontahedron 774:truncated cuboctahedron 369:Hexagonal trapezohedron 989:truncated trapezohedra 858:disdyakis dodecahedron 824:(duals of Archimedean) 799:rhombicosidodecahedron 789:truncated dodecahedron 354:Trigonal trapezohedron 265: 878:pentakis dodecahedron 794:truncated icosahedron 749:truncated tetrahedron 344:Digonal trapezohedron 263: 838:rhombic dodecahedron 764:truncated octahedron 333:-gonal trapezohedra 246:pentagonal antiprism 189:pentagonal antiprism 178:, , (225), order 10 164:, , (2*5), order 20 873:triakis icosahedron 848:tetrakis hexahedron 833:triakis tetrahedron 769:rhombicuboctahedron 570:Mathematical models 530:U.S. patent 809,293 334: 242:pentagonal pyramids 843:triakis octahedron 728:Archimedean solids 627:2018-02-24 at the 596:Weisstein, Eric W. 488:Face configuration 328: 274:role-playing games 266: 264:Ten ten-sided dice 142:Face configuration 1053: 1052: 972: 971: 809:snub dodecahedron 784:icosidodecahedron 514: 513: 205: 204: 1078: 931: 930: 927:Dihedral uniform 902:Dihedral regular 825: 741: 690: 666: 659: 652: 643: 642: 609: 608: 574: 555: 554: 549:. Archived from 539: 533: 532: 526: 482: 469: 462: 455: 448: 441: 432:Spherical tiling 421: 414: 407: 400: 393: 335: 327: 319: 309:spherical tiling 303:Spherical tiling 112: 111: 110: 106: 105: 101: 100: 96: 95: 91: 90: 84: 83: 82: 78: 77: 73: 72: 68: 67: 63: 62: 28: 16: 1086: 1085: 1081: 1080: 1079: 1077: 1076: 1075: 1056: 1055: 1054: 1049: 1038: 977:Dihedral others 968: 947: 922: 897: 826: 823: 822: 813: 742: 731: 730: 721: 684: 682:Platonic solids 676: 670: 629:Wayback Machine 599:"Trapezohedron" 581: 563: 558: 541: 540: 536: 528: 527: 523: 519: 345: 326: 305: 258: 252:in the middle. 200:face-transitive 184:Dual polyhedron 177: 163: 108: 103: 98: 93: 88: 86: 85: 80: 75: 70: 65: 60: 58: 55:Coxeter diagram 12: 11: 5: 1084: 1074: 1073: 1068: 1051: 1050: 1043: 1040: 1039: 1037: 1036: 1031: 1026: 1021: 1016: 1011: 1006: 1001: 996: 991: 986: 980: 978: 974: 973: 970: 969: 967: 966: 961: 955: 953: 949: 948: 946: 945: 940: 934: 928: 924: 923: 921: 920: 913: 905: 903: 899: 898: 896: 895: 890: 885: 880: 875: 870: 865: 860: 855: 850: 845: 840: 835: 829: 827: 820:Catalan solids 818: 815: 814: 812: 811: 806: 801: 796: 791: 786: 781: 776: 771: 766: 761: 759:truncated cube 756: 751: 745: 743: 726: 723: 722: 720: 719: 714: 709: 704: 699: 693: 691: 678: 677: 669: 668: 661: 654: 646: 640: 639: 638: 637: 631: 610: 591: 580: 579:External links 577: 576: 575: 562: 559: 557: 556: 553:on 2016-08-14. 534: 520: 518: 515: 512: 511: 508: 505: 502: 499: 496: 493: 490: 484: 483: 476: 470: 463: 456: 449: 442: 435: 428: 427: 425: 422: 415: 408: 401: 394: 387: 380: 379: 374: 371: 366: 361: 356: 351: 342: 325: 322: 321: 320: 304: 301: 257: 254: 220:dual polyhedra 203: 202: 196: 192: 191: 186: 180: 179: 175: 172: 170:Rotation group 166: 165: 159: 154: 152:Symmetry group 148: 147: 144: 138: 137: 134: 130: 129: 126: 122: 121: 118: 114: 113: 56: 52: 51: 46: 40: 39: 34: 30: 29: 21: 20: 9: 6: 4: 3: 2: 1083: 1072: 1069: 1067: 1064: 1063: 1061: 1047: 1041: 1035: 1032: 1030: 1027: 1025: 1022: 1020: 1017: 1015: 1012: 1010: 1007: 1005: 1002: 1000: 997: 995: 992: 990: 987: 985: 982: 981: 979: 975: 965: 962: 960: 957: 956: 954: 950: 944: 941: 939: 936: 935: 932: 929: 925: 919: 918: 914: 912: 911: 907: 906: 904: 900: 894: 891: 889: 886: 884: 881: 879: 876: 874: 871: 869: 866: 864: 861: 859: 856: 854: 851: 849: 846: 844: 841: 839: 836: 834: 831: 830: 828: 821: 816: 810: 807: 805: 802: 800: 797: 795: 792: 790: 787: 785: 782: 780: 777: 775: 772: 770: 767: 765: 762: 760: 757: 755: 754:cuboctahedron 752: 750: 747: 746: 744: 739: 735: 729: 724: 718: 715: 713: 710: 708: 705: 703: 700: 698: 695: 694: 692: 688: 683: 679: 675: 667: 662: 660: 655: 653: 648: 647: 644: 635: 632: 630: 626: 623: 620: 617: 616: 614: 611: 606: 605: 600: 597: 592: 590: 586: 583: 582: 572: 571: 565: 564: 552: 548: 546: 538: 531: 525: 521: 509: 506: 503: 500: 497: 494: 491: 489: 486: 481: 477: 474: 471: 468: 464: 461: 457: 454: 450: 447: 443: 440: 436: 433: 430: 426: 423: 420: 416: 413: 409: 406: 402: 399: 395: 392: 388: 385: 382: 378: 375: 372: 370: 367: 365: 362: 360: 357: 355: 352: 349: 343: 340: 339:Trapezohedron 337: 332: 318: 314: 313: 312: 310: 300: 296: 294: 290: 285: 283: 279: 275: 271: 262: 256:10-sided dice 253: 251: 247: 243: 238: 236: 233: 229: 225: 221: 217: 216: 215:trapezohedron 210: 201: 197: 193: 190: 187: 185: 181: 173: 171: 167: 162: 158: 155: 153: 149: 145: 143: 139: 135: 131: 127: 123: 119: 115: 57: 53: 50: 47: 45: 41: 38: 35: 31: 27: 22: 17: 1045: 964:trapezohedra 915: 908: 712:dodecahedron 602: 589:Academia.edu 569: 551:the original 544: 537: 524: 473:Plane tiling 363: 330: 306: 297: 286: 282:twenty-sided 267: 250:dodecahedron 239: 230:) which are 212: 206: 160: 156: 37:trapezohedra 734:semiregular 717:icosahedron 697:tetrahedron 348:Tetrahedron 213:pentagonal 1060:Categories 1029:prismatoid 959:bipyramids 943:antiprisms 917:hosohedron 707:octahedron 636:Try: "dA5" 517:References 384:Polyhedron 329:Family of 289:truncating 278:percentile 270:gaming die 228:decahedron 224:antiprisms 195:Properties 1071:Polyhedra 1024:birotunda 1014:bifrustum 779:snub cube 674:polyhedra 604:MathWorld 510:Vāˆž.3.3.3 504:V6.3.3.3 501:V5.3.3.3 498:V4.3.3.3 495:V3.3.3.3 492:V2.3.3.3 276:that use 232:congruent 146:V5.3.3.3 1004:bicupola 984:pyramids 910:dihedron 625:Archived 324:See also 209:geometry 198:convex, 133:Vertices 1046:italics 1034:scutoid 1019:rotunda 1009:frustum 738:uniform 687:regular 672:Convex 561:Sources 293:Gen Con 222:to the 999:cupola 952:duals: 938:prisms 475:image 434:image 386:image 244:and a 44:Conway 622:model 587:from 341:name 235:kites 125:Edges 117:Faces 1066:Dice 702:cube 619:VRML 507:... 424:... 373:... 211:, a 33:Type 736:or 207:In 136:12 128:20 120:10 49:dA5 1062:: 601:. 350:) 237:. 161:5d 1048:. 740:) 732:( 689:) 685:( 665:e 658:t 651:v 607:. 547:" 346:( 331:n 176:5 174:D 157:D

Index

Pentagonal trapezohedron
trapezohedra
Conway
dA5
Face configuration
Symmetry group
Rotation group
Dual polyhedron
pentagonal antiprism
face-transitive
geometry
trapezohedron
dual polyhedra
antiprisms
decahedron
congruent
kites
pentagonal pyramids
pentagonal antiprism
dodecahedron

gaming die
role-playing games
percentile
twenty-sided
truncating
Gen Con
spherical tiling

Trapezohedron

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