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Triangular prismatic honeycomb

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cells. The resulting honeycomb is closely related but not equivalent: it has the same vertices and edges, but different two-dimensional faces and three-dimensional cells.
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with alternating offsets caused by layers of paired triangular prisms. The prisms in each layer are rotated by a right angle to those in the next layer.
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It consists of 1 + 6 + 1 = 8 edges meeting at a vertex, There are 6 triangular prism cells meeting at an edge and faces are shared between 2 cells.
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There are 1 + 3 + 1 = 5 edges meeting at a vertex, 3 Hexagonal Prism cells meeting at an edge, and faces are shared between 2 cells.
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It is created by alternating layers of cubes and triangular prisms, with the prisms alternating in orientation by 90 degrees.
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of the truncated trihexagonal prismatic honeycomb, although it can not be made uniform, but it can be given
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and two opposite triangular prisms are augmented together as a single polyhedron:
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Coxeter, H.S.M. (1940). "Regular and Semi-Regular Polytopes I".
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which has the triangular prisms with the same orientation.
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Pairs of triangular prisms can be combined to create
575: 2509:Kaleidoscopes: Selected Writings of H.S.M. Coxeter 2584: 274: 2431:This is related to a space-filling polyhedron, 2304:Gyroelongated triangular prismatic honeycomb 2076:elongated antiprismatic prismatic cellulation 2384:gyroelongated triangular prismatic honeycomb 2297:Gyroelongated triangular prismatic honeycomb 2398:) in Euclidean 3-space. It is composed of 2303: 2130: 1879: 1644: 1472: 1276:Truncated trihexagonal prismatic honeycomb 1275: 1022: 775: 582: 281: 18: 2388:elongated parasquare fastigial cellulation 2300: 2127: 1876: 1645:Snub trihexagonal antiprismatic honeycomb 1641: 1469: 1410:truncated trihexagonal prismatic honeycomb 1272: 1269:Truncated trihexagonal prismatic honeycomb 1194:Deltoidal trihexagonal prismatic honeycomb 1019: 772: 579: 278: 15: 2457: 1880:Elongated triangular prismatic honeycomb 1782:snub trihexagonal antiprismatic honeycomb 1638:Snub trihexagonal antiprismatic honeycomb 2555: 2470: 2426:elongated triangular prismatic honeycomb 2072:elongated triangular prismatic honeycomb 2053:Prismatic pentagonal prismatic honeycomb 1873:Elongated triangular prismatic honeycomb 1217:rhombitrihexagonal prismatic cellulation 776:Truncated hexagonal prismatic honeycomb 562:gyrated tetrahedral-octahedral honeycomb 2527: 2131:Gyrated triangular prismatic honeycomb 1590:simo-trihexagonal prismatic cellulation 1414:tomo-trihexagonal prismatic cellulation 1023:Rhombitrihexagonal prismatic honeycomb 968:tomo-trihexagonal prismatic cellulation 964:truncated hexagonal prismatic honeycomb 769:Truncated hexagonal prismatic honeycomb 2585: 2237:gyrated triangular prismatic honeycomb 2124:Gyrated triangular prismatic honeycomb 1473:Snub trihexagonal prismatic honeycomb 1213:rhombitrihexagonal prismatic honeycomb 1016:Rhombitrihexagonal prismatic honeycomb 945:Triakis triangular prismatic honeycomb 2274:It can be seen as parallel planes of 1860:(as tetragonal disphenoids) from the 1586:snub trihexagonal prismatic honeycomb 1567:Floret pentagonal prismatic honeycomb 1466:Snub trihexagonal prismatic honeycomb 269: 2567: 1852:(as triangular antiprisms) from the 2561:Mem. SocietĂ  Italiana della Scienze 13: 721:trihexagonal prismatic cellulation 14: 2604: 583:Trihexagonal prismatic honeycomb 2443: 2414: 2409: 2340: 2267: 2262: 2241:parasquare fastigial cellulation 2197: 2101: 2025: 2020: 2015: 2010: 2005: 2000: 1995: 1990: 1985: 1980: 1975: 1967: 1962: 1957: 1952: 1947: 1942: 1937: 1932: 1927: 1922: 1917: 1834: 1829: 1824: 1819: 1814: 1809: 1804: 1799: 1794: 1751: 1720: 1715: 1710: 1705: 1700: 1695: 1690: 1685: 1680: 1615: 1544: 1539: 1534: 1529: 1524: 1519: 1514: 1509: 1504: 1443: 1391:Kisrhombille prismatic honeycomb 1351: 1346: 1341: 1336: 1331: 1326: 1321: 1316: 1311: 1246: 1167: 1162: 1157: 1152: 1147: 1142: 1137: 1132: 1127: 1119: 1114: 1109: 1104: 1099: 1094: 1089: 1084: 1079: 993: 876: 867: 851: 846: 841: 836: 831: 826: 821: 816: 811: 746: 717:trihexagonal prismatic honeycomb 671: 666: 661: 656: 651: 646: 641: 636: 631: 576:Trihexagonal prismatic honeycomb 542: 444: 439: 434: 429: 424: 419: 414: 406: 401: 396: 391: 386: 381: 376: 371: 366: 357: 352: 347: 342: 337: 332: 327: 322: 317: 231:triangular prismatic cellulation 179: 174: 169: 164: 159: 154: 149: 141: 136: 131: 126: 121: 116: 111: 103: 98: 93: 88: 83: 78: 73: 68: 63: 24: 2370: 2362: 2348: 2334: 2318: 2308: 2223: 2215: 2205: 2193: 2171: 2157: 2145: 2135: 2058: 2048: 2034: 1910: 1894: 1884: 1768: 1759: 1747: 1729: 1673: 1659: 1649: 1572: 1562: 1553: 1497: 1487: 1477: 1396: 1386: 1373: 1360: 1304: 1290: 1280: 1199: 1189: 1176: 1072: 1052: 1037: 1027: 950: 940: 927: 917: 902: 884: 860: 804: 790: 780: 703: 693: 680: 624: 611: 597: 587: 514:hexagonal prismatic cellulation 496: 492:Triangular prismatic honeycomb 488: 474: 464: 454: 310: 296: 286: 213: 203: 188: 56: 42: 32: 19:Triangular prismatic honeycomb 2570:"3D Euclidean Honeycombs tiph" 2460:"Uniform Panoploid Tetracombs" 1864:, and two tetrahedra from the 282:Hexagonal prismatic honeycomb 245:. It is composed entirely of 227:triangular prismatic honeycomb 1: 2577:Uniform Honeycombs in 3-Space 2451: 1452:truncated trihexagonal tiling 698:Rhombille prismatic honeycomb 510:hexagonal prismatic honeycomb 275:Hexagonal prismatic honeycomb 208:Hexagonal prismatic honeycomb 2476:"Uniform tilings of 3-space" 1840:and has symmetry . It makes 7: 2390:is a uniform space-filling 2110:elongated triangular tiling 10: 2609: 2548:1.9 Uniform space-fillings 2458:Olshevsky, George (2006). 2108:It is constructed from an 1002:truncated hexagonal tiling 2531:Mathematische Zeitschrift 2433:elongated gyrobifastigium 2283:convex uniform honeycombs 2117:convex uniform honeycombs 1631:convex uniform honeycombs 1622:It is constructed from a 1459:convex uniform honeycombs 1450:It is constructed from a 1262:convex uniform honeycombs 1255:rhombitrihexagonal tiling 1253:It is constructed from a 1009:convex uniform honeycombs 1000:It is constructed from a 762:convex uniform honeycombs 753:It is constructed from a 551:convex uniform honeycombs 535:It is constructed from a 261:convex uniform honeycombs 252:It is constructed from a 2140:Convex uniform honeycomb 1624:snub trihexagonal tiling 2563:. Ser. 3 (14): 75–129. 2112:extruded into prisms. 1784:can be constructed by 1675:Coxeter-Dynkin diagram 1626:extruded into prisms. 1454:extruded into prisms. 1257:extruded into prisms. 1004:extruded into prisms. 757:extruded into prisms. 556:This honeycomb can be 539:extruded into prisms. 256:extruded into prisms. 2424:It is related to the 2090:. It is composed of 1866:triangular bipyramids 1604:. It is composed of 1440:in a ratio of 1:2:3. 1243:in a ratio of 1:3:2. 982:. It is composed of 735:. It is composed of 1842:hexagonal antiprisms 1428:. It is composed of 1231:. It is composed of 922:Triangular bipyramid 566:triangular bipyramid 469:triangular bipyramid 2568:Klitzing, Richard. 2498:, Manuscript (1991) 2406:in a ratio of 1:2. 2243:is a space-filling 2098:in a ratio of 1:2. 2078:is a space-filling 1734:hexagonal antiprism 1612:in a ratio of 1:8. 1592:is a space-filling 1416:is a space-filling 1219:is a space-filling 990:in a ratio of 1:2. 970:is a space-filling 755:trihexagonal tiling 743:in a ratio of 1:2. 723:is a space-filling 516:is a space-filling 233:is a space-filling 2544:10.1007/BF01181449 2502:Sherk, F. Arthur; 1846:dodecagonal prisms 1430:dodecagonal prisms 984:dodecagonal prisms 912:Isosceles triangle 270:Related honeycombs 2519:978-0-471-01003-6 2496:Uniform Polytopes 2404:triangular prisms 2380: 2379: 2375:vertex-transitive 2313:Uniform honeycomb 2257:triangular prisms 2253:Euclidean 3-space 2233: 2232: 2228:vertex-transitive 2096:triangular prisms 2088:Euclidean 3-space 2068: 2067: 2063:vertex-transitive 1889:Uniform honeycomb 1778: 1777: 1773:vertex-transitive 1610:triangular prisms 1602:Euclidean 3-space 1582: 1581: 1577:vertex-transitive 1482:Uniform honeycomb 1426:Euclidean 3-space 1406: 1405: 1401:vertex-transitive 1285:Uniform honeycomb 1241:triangular prisms 1229:Euclidean 3-space 1209: 1208: 1204:vertex-transitive 1032:Uniform honeycomb 988:triangular prisms 980:Euclidean 3-space 960: 959: 955:vertex-transitive 785:Uniform honeycomb 741:triangular prisms 733:Euclidean 3-space 713: 712: 708:vertex-transitive 592:Uniform honeycomb 526:Euclidean 3-space 506: 505: 501:vertex-transitive 291:Uniform honeycomb 254:triangular tiling 247:triangular prisms 243:Euclidean 3-space 223: 222: 218:vertex-transitive 37:Uniform honeycomb 2600: 2573: 2564: 2550: 2523: 2489: 2472:GrĂźnbaum, Branko 2466: 2464: 2447: 2418: 2413: 2354:Coxeter notation 2344: 2320:Schläfli symbols 2301: 2281:It is one of 28 2271: 2266: 2201: 2147:Schläfli symbols 2128: 2115:It is one of 28 2105: 2040:Coxeter notation 2030: 2029: 2028: 2024: 2023: 2019: 2018: 2014: 2013: 2009: 2008: 2004: 2003: 1999: 1998: 1994: 1993: 1989: 1988: 1984: 1983: 1979: 1978: 1972: 1971: 1970: 1966: 1965: 1961: 1960: 1956: 1955: 1951: 1950: 1946: 1945: 1941: 1940: 1936: 1935: 1931: 1930: 1926: 1925: 1921: 1920: 1912:Coxeter diagrams 1896:Schläfli symbols 1877: 1854:hexagonal prisms 1839: 1838: 1837: 1833: 1832: 1828: 1827: 1823: 1822: 1818: 1817: 1813: 1812: 1808: 1807: 1803: 1802: 1798: 1797: 1755: 1725: 1724: 1723: 1719: 1718: 1714: 1713: 1709: 1708: 1704: 1703: 1699: 1698: 1694: 1693: 1689: 1688: 1684: 1683: 1654:Convex honeycomb 1642: 1629:It is one of 28 1619: 1606:hexagonal prisms 1549: 1548: 1547: 1543: 1542: 1538: 1537: 1533: 1532: 1528: 1527: 1523: 1522: 1518: 1517: 1513: 1512: 1508: 1507: 1470: 1457:It is one of 28 1447: 1434:hexagonal prisms 1379:irr. triangular 1366:Coxeter notation 1356: 1355: 1354: 1350: 1349: 1345: 1344: 1340: 1339: 1335: 1334: 1330: 1329: 1325: 1324: 1320: 1319: 1315: 1314: 1296:tr{6,3}×{∞} or t 1273: 1260:It is one of 28 1250: 1233:hexagonal prisms 1182:Coxeter notation 1172: 1171: 1170: 1166: 1165: 1161: 1160: 1156: 1155: 1151: 1150: 1146: 1145: 1141: 1140: 1136: 1135: 1131: 1130: 1124: 1123: 1122: 1118: 1117: 1113: 1112: 1108: 1107: 1103: 1102: 1098: 1097: 1093: 1092: 1088: 1087: 1083: 1082: 1058:rr{6,3}×{∞} or t 1020: 1007:It is one of 28 997: 933:Coxeter notation 880: 871: 856: 855: 854: 850: 849: 845: 844: 840: 839: 835: 834: 830: 829: 825: 824: 820: 819: 815: 814: 773: 760:It is one of 28 750: 737:hexagonal prisms 686:Coxeter notation 676: 675: 674: 670: 669: 665: 664: 660: 659: 655: 654: 650: 649: 645: 644: 640: 639: 635: 634: 580: 549:It is one of 28 546: 537:hexagonal tiling 530:hexagonal prisms 480:Coxeter notation 449: 448: 447: 443: 442: 438: 437: 433: 432: 428: 427: 423: 422: 418: 417: 411: 410: 409: 405: 404: 400: 399: 395: 394: 390: 389: 385: 384: 380: 379: 375: 374: 370: 369: 362: 361: 360: 356: 355: 351: 350: 346: 345: 341: 340: 336: 335: 331: 330: 326: 325: 321: 320: 312:Coxeter diagrams 298:Schläfli symbols 279: 259:It is one of 28 194:Coxeter notation 184: 183: 182: 178: 177: 173: 172: 168: 167: 163: 162: 158: 157: 153: 152: 146: 145: 144: 140: 139: 135: 134: 130: 129: 125: 124: 120: 119: 115: 114: 108: 107: 106: 102: 101: 97: 96: 92: 91: 87: 86: 82: 81: 77: 76: 72: 71: 67: 66: 58:Coxeter diagrams 28: 16: 2608: 2607: 2603: 2602: 2601: 2599: 2598: 2597: 2583: 2582: 2520: 2504:McMullen, Peter 2462: 2454: 2352: 2329: 2325: 2299: 2294: 2290:gyrobifastigium 2152: 2126: 2121: 2044: 2038: 2026: 2021: 2016: 2011: 2006: 2001: 1996: 1991: 1986: 1981: 1976: 1974: 1973: 1968: 1963: 1958: 1953: 1948: 1943: 1938: 1933: 1928: 1923: 1918: 1916: 1905: 1901: 1875: 1870: 1835: 1830: 1825: 1820: 1815: 1810: 1805: 1800: 1795: 1793: 1790:Coxeter diagram 1740: 1736: 1721: 1716: 1711: 1706: 1701: 1696: 1691: 1686: 1681: 1679: 1668: 1661:Schläfli symbol 1640: 1635: 1545: 1540: 1535: 1530: 1525: 1520: 1515: 1510: 1505: 1503: 1499:Coxeter diagram 1489:Schläfli symbol 1468: 1463: 1364: 1352: 1347: 1342: 1337: 1332: 1327: 1322: 1317: 1312: 1310: 1306:Coxeter diagram 1299: 1292:Schläfli symbol 1271: 1266: 1180: 1168: 1163: 1158: 1153: 1148: 1143: 1138: 1133: 1128: 1126: 1125: 1120: 1115: 1110: 1105: 1100: 1095: 1090: 1085: 1080: 1078: 1074:Coxeter diagram 1067: 1063: 1061: 1054:Schläfli symbol 1018: 1013: 931: 910: 872: 852: 847: 842: 837: 832: 827: 822: 817: 812: 810: 806:Coxeter diagram 799: 796:t{6,3}×{∞} or t 792:Schläfli symbol 771: 766: 684: 672: 667: 662: 657: 652: 647: 642: 637: 632: 630: 626:Coxeter diagram 606: 603:r{6,3}x{∞} or t 599:Schläfli symbol 578: 573: 484: 478: 445: 440: 435: 430: 425: 420: 415: 413: 412: 407: 402: 397: 392: 387: 382: 377: 372: 367: 365: 363: 358: 353: 348: 343: 338: 333: 328: 323: 318: 316: 305: 277: 272: 199: 198: 192: 180: 175: 170: 165: 160: 155: 150: 148: 147: 142: 137: 132: 127: 122: 117: 112: 110: 109: 104: 99: 94: 89: 84: 79: 74: 69: 64: 62: 51: 44:Schläfli symbol 12: 11: 5: 2606: 2596: 2595: 2581: 2580: 2574: 2565: 2553: 2552: 2551: 2518: 2499: 2493:Norman Johnson 2490: 2481:Geombinatorics 2468: 2453: 2450: 2449: 2448: 2378: 2377: 2372: 2368: 2367: 2364: 2360: 2359: 2356: 2346: 2345: 2338: 2332: 2331: 2327: 2322: 2316: 2315: 2310: 2306: 2305: 2298: 2295: 2231: 2230: 2225: 2221: 2220: 2217: 2213: 2212: 2209: 2203: 2202: 2195: 2191: 2190: 2173: 2169: 2168: 2159: 2155: 2154: 2149: 2143: 2142: 2137: 2133: 2132: 2125: 2122: 2066: 2065: 2060: 2056: 2055: 2050: 2046: 2045: 2042: 2032: 2031: 1914: 1908: 1907: 1903: 1898: 1892: 1891: 1886: 1882: 1881: 1874: 1871: 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308: 307: 303: 302:{6,3}×{∞} or t 300: 294: 293: 288: 284: 283: 276: 273: 271: 268: 221: 220: 215: 211: 210: 205: 201: 200: 196: 186: 185: 60: 54: 53: 49: 48:{3,6}×{∞} or t 46: 40: 39: 34: 30: 29: 21: 20: 9: 6: 4: 3: 2: 2605: 2594: 2591: 2590: 2588: 2578: 2575: 2571: 2566: 2562: 2558: 2554: 2549: 2545: 2541: 2537: 2533: 2532: 2525: 2524: 2521: 2515: 2511: 2510: 2505: 2500: 2497: 2494: 2491: 2487: 2483: 2482: 2477: 2473: 2469: 2461: 2456: 2455: 2446: 2442: 2441: 2440: 2438: 2434: 2429: 2427: 2422: 2419: 2417: 2412: 2407: 2405: 2401: 2397: 2393: 2389: 2385: 2376: 2373: 2369: 2365: 2361: 2357: 2355: 2351: 2347: 2343: 2339: 2337: 2336:Vertex figure 2333: 2323: 2321: 2317: 2314: 2311: 2307: 2302: 2293: 2291: 2286: 2284: 2279: 2277: 2276:square tiling 2272: 2270: 2265: 2260: 2258: 2254: 2250: 2246: 2242: 2238: 2229: 2226: 2222: 2218: 2214: 2210: 2208: 2204: 2200: 2196: 2194:Vertex figure 2192: 2189: 2187: 2181: 2179: 2174: 2170: 2167: 2165: 2160: 2156: 2150: 2148: 2144: 2141: 2138: 2134: 2129: 2120: 2118: 2113: 2111: 2106: 2104: 2099: 2097: 2093: 2089: 2085: 2081: 2077: 2073: 2064: 2061: 2057: 2054: 2051: 2047: 2043: 2041: 2037: 2033: 1915: 1913: 1909: 1899: 1897: 1893: 1890: 1887: 1883: 1878: 1869: 1867: 1863: 1859: 1855: 1851: 1847: 1843: 1791: 1787: 1783: 1774: 1771: 1767: 1764: 1762: 1758: 1754: 1750: 1748:Vertex figure 1746: 1743: 1739: 1735: 1732: 1728: 1678: 1676: 1672: 1664: 1662: 1658: 1655: 1652: 1648: 1643: 1634: 1632: 1627: 1625: 1620: 1618: 1613: 1611: 1607: 1603: 1599: 1595: 1591: 1587: 1578: 1575: 1571: 1568: 1565: 1561: 1558: 1556: 1552: 1502: 1500: 1496: 1492: 1490: 1486: 1483: 1480: 1476: 1471: 1462: 1460: 1455: 1453: 1448: 1446: 1441: 1439: 1435: 1431: 1427: 1423: 1419: 1415: 1411: 1402: 1399: 1395: 1392: 1389: 1385: 1382: 1378: 1376: 1375:Vertex figure 1372: 1369: 1367: 1363: 1359: 1309: 1307: 1303: 1295: 1293: 1289: 1286: 1283: 1279: 1274: 1265: 1263: 1258: 1256: 1251: 1249: 1244: 1242: 1238: 1234: 1230: 1226: 1222: 1218: 1214: 1205: 1202: 1198: 1195: 1192: 1188: 1185: 1183: 1179: 1175: 1077: 1075: 1071: 1057: 1055: 1051: 1048: 1045: 1042: 1040: 1039:Vertex figure 1036: 1033: 1030: 1026: 1021: 1012: 1010: 1005: 1003: 998: 996: 991: 989: 985: 981: 977: 973: 969: 965: 956: 953: 949: 946: 943: 939: 936: 934: 930: 926: 923: 920: 918:Vertex figure 916: 913: 908: 905: 901: 898: 894: 890: 887: 883: 879: 875: 870: 866: 863: 859: 809: 807: 803: 795: 793: 789: 786: 783: 779: 774: 765: 763: 758: 756: 751: 749: 744: 742: 738: 734: 730: 726: 722: 718: 709: 706: 702: 699: 696: 692: 689: 687: 683: 679: 629: 627: 623: 620: 616: 614: 613:Vertex figure 610: 602: 600: 596: 593: 590: 586: 581: 572: 569: 567: 563: 559: 554: 552: 547: 545: 540: 538: 533: 531: 527: 523: 519: 515: 511: 502: 499: 495: 491: 487: 483: 481: 477: 473: 470: 467: 465:Vertex figure 463: 460: 457: 453: 450: 315: 313: 309: 301: 299: 295: 292: 289: 285: 280: 267: 264: 262: 257: 255: 250: 248: 244: 240: 236: 232: 228: 219: 216: 212: 209: 206: 202: 197: 195: 191: 187: 61: 59: 55: 47: 45: 41: 38: 35: 31: 27: 22: 17: 2593:3-honeycombs 2560: 2557:Andreini, A. 2547: 2535: 2529: 2508: 2495: 2485: 2479: 2430: 2423: 2420: 2408: 2392:tessellation 2387: 2383: 2381: 2324:{3,6}:ge×{∞} 2287: 2280: 2273: 2261: 2245:tessellation 2240: 2236: 2234: 2185: 2177: 2163: 2114: 2107: 2100: 2080:tessellation 2075: 2071: 2069: 1781: 1779: 1628: 1621: 1614: 1594:tessellation 1589: 1585: 1583: 1493:sr{6,3}×{∞} 1456: 1449: 1442: 1418:tessellation 1413: 1409: 1407: 1259: 1252: 1245: 1221:tessellation 1216: 1212: 1210: 1006: 999: 992: 972:tessellation 967: 963: 961: 903:Edge figures 759: 752: 745: 725:tessellation 720: 716: 714: 617:Rectangular 570: 555: 548: 541: 534: 518:tessellation 513: 509: 507: 364: 265: 258: 251: 235:tessellation 230: 226: 224: 2579:VRML models 2538:: 380–407. 2488:(2): 49–56. 2350:Space group 2255:made up of 2207:Space group 2151:{3,6}:g×{∞} 2036:Space group 1900:{3,6}:e×{∞} 1786:alternation 1742:tetrahedron 1362:Space group 1178:Space group 1044:Trapezoidal 929:Space group 682:Space group 528:made up of 476:Space group 190:Space group 2526:Paper 22: 2452:References 2371:Properties 2224:Properties 2172:Face types 2158:Cell types 2153:{4,4}f{∞} 2059:Properties 1858:tetrahedra 1769:Properties 1738:octahedron 1669:{6,3,2,∞} 1573:Properties 1397:Properties 1300:{6,3,2,∞} 1200:Properties 1068:{3,6}×{∞} 951:Properties 885:Face types 861:Cell types 800:{6,3,2,∞} 704:Properties 607:{6,3}x{∞} 558:alternated 497:Properties 455:Cell types 306:{6,3,2,∞} 214:Properties 52:{3,6,2,∞} 2512:. Wiley. 2396:honeycomb 2249:honeycomb 2084:honeycomb 1850:octahedra 1844:from the 1598:honeycomb 1422:honeycomb 1381:bipyramid 1225:honeycomb 1062:{6,3,2,∞} 1047:bipyramid 976:honeycomb 729:honeycomb 619:bipyramid 560:into the 522:honeycomb 239:honeycomb 2587:Category 2474:(1994). 2435:, where 2358: ? 2211: ? 1906:{∞}×{∞} 1761:Symmetry 1555:Symmetry 1667:0,1,2,3 1298:0,1,2,3 2516:  2326:{4,4}f 1436:, and 1239:, and 986:, and 907:Square 865:4.4.12 2463:(PDF) 2400:cubes 2251:) in 2164:3.4.4 2092:cubes 2086:) in 1902:s{∞}h 1862:cubes 1730:Cells 1600:) in 1438:cubes 1424:) in 1237:cubes 1227:) in 1060:0,2,3 978:) in 874:3.4.4 798:0,1,3 731:) in 524:) in 459:4.4.6 304:0,1,3 241:) in 2514:ISBN 2437:cube 2402:and 2394:(or 2382:The 2363:Dual 2330:{∞} 2309:Type 2247:(or 2235:The 2216:Dual 2136:Type 2094:and 2082:(or 2070:The 2049:Dual 1885:Type 1650:Type 1608:and 1596:(or 1584:The 1563:Dual 1478:Type 1420:(or 1408:The 1387:Dual 1281:Type 1223:(or 1211:The 1190:Dual 1028:Type 974:(or 962:The 941:Dual 897:{12} 781:Type 739:and 727:(or 715:The 694:Dual 588:Type 520:(or 508:The 489:Dual 287:Type 237:(or 225:The 204:Dual 33:Type 2540:doi 2386:or 2239:or 2074:or 1588:or 1412:or 1215:or 966:or 893:{4} 889:{3} 719:or 605:1,3 568:). 512:or 229:or 50:0,3 2589:: 2546:. 2536:46 2534:. 2484:. 2478:. 2366:- 2285:. 2219:? 2182:, 2119:. 1868:. 1856:, 1848:, 1792:: 1780:A 1665:ht 1633:. 1461:. 1432:, 1264:. 1235:, 1011:. 895:, 891:, 764:. 553:. 532:. 263:. 249:. 2572:. 2542:: 2522:. 2486:4 2465:. 2328:1 2188:} 2186:4 2184:{ 2180:} 2178:3 2176:{ 2166:) 2162:( 1904:1 1066:2 1064:s 909:,

Index


Uniform honeycomb
Schläfli symbol
Coxeter diagrams
Space group
Coxeter notation
Hexagonal prismatic honeycomb
vertex-transitive
tessellation
honeycomb
Euclidean 3-space
triangular prisms
triangular tiling
convex uniform honeycombs
Uniform honeycomb
Schläfli symbols
Coxeter diagrams
4.4.6
triangular bipyramid
Space group
Coxeter notation
vertex-transitive
tessellation
honeycomb
Euclidean 3-space
hexagonal prisms
hexagonal tiling

convex uniform honeycombs
alternated

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