Knowledge (XXG)

Regular Division of the Plane

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prints to demonstrate the concept, but the series of drawings continued until the late 1960s, ending at drawing #137. While not Escher's most artistically important works, some of these patterns are among Escher's most famous, having been used for a number of commercial products, including neckties.
599: 569: 30: 656: 1680: 76:. Escher had visited the Alhambra once before in 1922 but in this visit he had spent several days studying and sketching the ornate tile designs there. 945: 878: 1685: 900: 634: 183: 1495: 1330: 1645: 1620: 1610: 1580: 1535: 1485: 1465: 1280: 1165: 1655: 1650: 1590: 1585: 1540: 1490: 1475: 1675: 1460: 708: 591: 149: 120: 1515: 1450: 1435: 1270: 890: 265: 1615: 1575: 1530: 1470: 1455: 1445: 1420: 781: 547: 1714: 1480: 1400: 1255: 200: 1410: 1395: 1355: 1285: 1235: 1150: 217: 1380: 1345: 1335: 1195: 739: 457: 361: 305: 1520: 1350: 1340: 1320: 1300: 1275: 1220: 1200: 1185: 1175: 1110: 776: 345: 273: 1670: 1665: 1660: 1565: 1325: 1290: 1250: 1230: 1205: 1190: 1180: 1140: 627: 425: 233: 176: 771: 1605: 1600: 1510: 1505: 1500: 1295: 1265: 1260: 1240: 1225: 1215: 1210: 1130: 433: 241: 29: 1640: 1635: 1630: 1560: 1555: 1550: 1545: 1245: 1125: 1120: 575: 497: 489: 473: 793: 1305: 1155: 1105: 465: 337: 249: 209: 1739: 1425: 1415: 1385: 1067: 682: 583: 257: 1744: 1525: 1430: 1390: 1375: 1370: 1365: 1360: 1115: 905: 620: 513: 449: 417: 409: 289: 169: 113: 1729: 1724: 1719: 1570: 1310: 1023: 1011: 895: 824: 800: 725: 558: 552: 531: 377: 57:, irregular shapes or combinations of shapes that interlock completely to cover a surface or plane. 1315: 1135: 981: 940: 935: 815: 564: 1100: 869: 667: 441: 1734: 1595: 1145: 1072: 915: 698: 505: 145: 116: 17: 1625: 1440: 1405: 1082: 1046: 991: 957: 910: 884: 873: 788: 760: 703: 677: 672: 481: 385: 353: 329: 321: 225: 986: 810: 720: 401: 313: 297: 923: 836: 805: 694: 138: 1708: 1077: 1041: 841: 829: 687: 369: 976: 713: 643: 192: 54: 50: 962: 46: 1031: 1051: 1036: 952: 928: 820: 61: 393: 84: 69: 746: 73: 65: 60:
The inspiration for these works began in 1936 with a visit to the
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which began in 1936. These images are based on the principle of
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Symmetry aspects of M. C. Escher's periodic drawings
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Abrams, Inc. 466:Cube with Magic Ribbons 250:Atrani, Coast of Amalfi 64:, a fourteenth-century 36:, woodcut, 1957 - 1958. 258:Still Life with Mirror 37: 1715:Works by M. C. Escher 290:Still Life and Street 114:Harry N. Abrams, Inc. 108:Locher, J.L. (2000). 32: 559:Berend George Escher 553:George Arnold Escher 532:Escher in the Palace 584:Gödel, Escher, Bach 565:Mathematics and art 579:(1971 documentary) 442:Convex and Concave 38: 1702: 1701: 1698: 1697: 1694: 1693: 1000: 999: 891:Computer graphics 850: 849: 734: 733: 610: 609: 506:Metamorphosis III 16:(Redirected from 1752: 1020: 1006: 958:Conway criterion 885:Circle Limit III 856: 789:Einstein problem 756: 749: 742: 678:Schwarz triangle 652: 637: 630: 623: 614: 482:Circle Limit III 386:Double Planetoid 354:Three Spheres II 330:Metamorphosis II 322:Sky and Water II 226:Strada di Scanno 186: 179: 172: 163: 156: 155: 143: 133: 127: 126: 105: 21: 1760: 1759: 1755: 1754: 1753: 1751: 1750: 1749: 1705: 1704: 1703: 1690: 1167: 1160: 1093: 1087: 1056: 1014: 996: 861: 846: 763: 750: 744: 743: 730: 721:Wallpaper group 659: 646: 641: 611: 606: 536: 520: 402:House of Stairs 314:Sky and Water I 298:Metamorphosis I 195: 190: 160: 159: 152: 135: 134: 130: 123: 107: 106: 99: 94: 23: 22: 15: 12: 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C. Escher 139: 131: 109: 80: 78: 68:castle near 59: 55:tessellation 51:M. C. Escher 41: 40: 39: 33: 26: 1730:1960s works 1725:1940s works 1720:1930s works 1012:vertex type 870:Anisohedral 825:Self-tiling 668:Pythagorean 603:(1965 book) 595:(1990 book) 587:(1979 book) 509:(1967-1968) 426:Gravitation 333:(1939-1940) 234:Castrovalva 1709:Categories 916:Pentagonal 434:Relativity 242:The Bridge 1024:Spherical 992:Voderberg 953:Prototile 920:Problems 896:Honeycomb 874:Isohedral 761:Aperiodic 699:honeycomb 683:Rectangle 673:Rhombille 561:(brother) 498:Waterfall 474:Belvedere 1735:Woodcuts 1106:V3.4.3.4 941:Squaring 936:Heesch's 901:Isotoxal 821:Rep-tile 811:Pinwheel 704:Coloring 657:Periodic 555:(father) 338:Reptiles 210:Dolphins 62:Alhambra 1566:6.4.8.4 1521:5.4.6.4 1481:4.12.16 1471:4.10.12 1441:V4.8.10 1416:V4.6.16 1406:V4.6.14 1306:3.6.4.6 1301:3.4.∞.4 1296:3.4.8.4 1291:3.4.7.4 1286:3.4.6.4 1236:3.∞.3.∞ 1231:3.4.3.4 1226:3.8.3.8 1221:3.7.3.7 1216:3.6.3.8 1211:3.6.3.6 1206:3.5.3.6 1201:3.5.3.5 1196:3.4.3.∞ 1191:3.4.3.8 1186:3.4.3.7 1181:3.4.3.6 1176:3.4.3.5 1131:3.4.6.4 1101:3.4.3.4 1094:regular 1061:Regular 987:Voronoi 911:Packing 842:Truchet 837:Socolar 806:Penrose 801:Gilbert 726:Wythoff 541:Related 525:Museums 394:Curl-up 92:Sources 85:woodcut 70:Granada 66:Moorish 49:artist 1456:4.8.16 1451:4.8.14 1446:4.8.12 1436:4.8.10 1411:4.6.16 1401:4.6.14 1396:4.6.12 1166:Hyper- 1151:4.6.12 924:Domino 830:Sphinx 709:Convex 688:Domino 517:(1969) 514:Snakes 501:(1961) 493:(1960) 485:(1959) 477:(1958) 469:(1957) 461:(1956) 453:(1955) 445:(1955) 437:(1953) 429:(1952) 421:(1952) 418:Dragon 413:(1952) 410:Puddle 405:(1951) 397:(1951) 389:(1949) 381:(1948) 373:(1948) 365:(1947) 357:(1946) 349:(1946) 341:(1943) 325:(1938) 317:(1938) 309:(1938) 301:(1937) 293:(1937) 285:(1936) 277:(1935) 269:(1934) 261:(1934) 253:(1931) 245:(1930) 237:(1930) 229:(1929) 221:(1928) 213:(1923) 148:  119:  1571:(6.8) 1526:(5.6) 1461:4.8.∞ 1431:(4.8) 1426:(4.7) 1421:4.6.∞ 1391:(4.6) 1386:(4.5) 1356:4.∞.4 1351:4.8.4 1346:4.7.4 1341:4.6.4 1336:4.5.4 1316:(3.8) 1311:(3.7) 1281:(3.4) 1276:(3.4) 1168:bolic 1136:(3.6) 1092:Semi- 963:Girih 860:Other 378:Stars 201:Works 74:Spain 47:Dutch 1656:8.16 1651:8.12 1621:7.14 1591:6.16 1586:6.12 1581:6.10 1541:5.12 1536:5.10 1491:4.16 1486:4.14 1476:4.12 1466:4.10 1326:3.16 1321:3.14 1141:3.12 1126:V3.6 1052:V4.n 1042:V3.n 929:Wang 906:List 872:and 823:and 782:List 697:and 146:ISBN 117:ISBN 1686:∞.8 1681:∞.6 1646:8.6 1616:7.8 1611:7.6 1576:6.8 1531:5.8 1496:4.∞ 1331:3.∞ 1256:3.4 1251:3.∞ 1246:3.8 1241:3.7 1156:4.8 1146:4.∞ 1121:3.6 1116:3.∞ 1111:3.4 1047:4.n 1037:3.n 1010:By 1711:: 112:. 100:^ 72:, 1676:∞ 1671:∞ 1666:∞ 1661:∞ 1641:8 1636:8 1631:8 1626:8 1606:7 1601:7 1596:7 1561:6 1556:6 1551:6 1546:6 1516:5 1511:5 1506:5 1501:5 1381:4 1376:4 1371:4 1366:4 1361:4 1271:3 1266:3 1261:3 1083:6 1078:4 1073:3 1068:2 1032:2 636:e 629:t 622:v 185:e 178:t 171:v 154:. 125:. 20:)

Index

Regular division of the plane

Dutch
M. C. Escher
tessellation
Alhambra
Moorish
Granada
Spain
woodcut


Harry N. Abrams, Inc.
ISBN
0-8109-6720-0
M. C. Escher: Visions of Symmetry
ISBN
0-8109-4308-5
v
t
e
M. C. Escher
Works
Dolphins
Tower of Babel
Strada di Scanno
Castrovalva
The Bridge
Atrani, Coast of Amalfi
Still Life with Mirror

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