% BCK classification of Archimedean maps of genus 3 % Jan Karabas, Wed Sep 8 11:11:07 CEST 2010 % % DESCRIPTION: % % Map code - see the classification at http://www.savbb.sk/~karabas/science.html#arch % Aut+(M), Aut(M) - the code of the group in SmallGroup Library, use e.g. SmallGroup(n,k) for in GAP % summarized results for classes are below the list Map code Aut+(M) Aut(M) |V| |D| class --------------------------------------------------------------------- A3.1 <168, 42> <336, 208> 168 504 accurate A3.3 <96, 64> <192, 956> 96 288 accurate A3.13 <168, 42> <336, 208> 336 1008 perfect A3.19 <96, 64> <192, 956> 192 576 perfect A3.25 <48, 33> <96, 193> 96 288 perfect A3.37 <48, 48> <96, 226> 96 288 perfect A3.43 <32, 11> <64, 134> 64 192 perfect A3.48 <32, 9> <64, 128> 64 192 perfect A3.145 <168, 42> <336, 208> 168 504 accurate A3.147 <96, 64> <192, 956> 96 288 accurate A3.173 <48, 33> <96, 193> 48 144 accurate A3.183 <48, 48> <96, 226> 48 144 accurate A3.191 <168, 42> <336, 208> 56 168 platonic A3.193 <96, 64> <192, 956> 32 96 platonic A3.319 <168, 42> <336, 208> 168 672 accurate A3.323 <96, 64> <192, 956> 96 384 accurate A3.335 <48, 33> <96, 193> 48 192 accurate A3.345 <21, 1> <42, 1> 42 168 perfect A3.349 <48, 3> <96, 64> 48 192 accurate A3.365 <24, 12> <24, 12> 24 96 accurate A3.366 <24, 3> <48, 29> 24 96 accurate A3.370 <24, 12> <48, 48> 24 96 accurate A3.374 <21, 1> <21, 1> 21 84 accurate A3.382 <168, 42> <336, 208> 84 336 fair A3.386 <96, 64> <192, 956> 48 192 fair A3.398 <48, 48> <96, 226> 48 192 accurate A3.400 <24, 12> <48, 48> 48 192 perfect A3.404 <24, 12> <48, 48> 48 192 perfect A3.415 <24, 12> <48, 48> 48 192 perfect A3.427 <32, 9> <64, 128> 32 128 accurate A3.429 <32, 11> <64, 134> 32 128 accurate A3.475 <16, 11> <32, 39> 32 128 perfect A3.495 <16, 13> <32, 43> 32 128 perfect A3.519 <16, 11> <32, 46> 32 128 perfect A3.871 <24, 12> <48, 48> 24 96 accurate A3.872 <24, 12> <24, 12> 24 96 accurate A3.873 <24, 12> <48, 48> 24 96 accurate A3.874 <24, 12> <24, 12> 24 96 accurate A3.876 <24, 12> <48, 48> 24 96 accurate A3.891 <168, 42> <168, 42> 168 840 accurate A3.895 <96, 64> <96, 64> 96 480 accurate A3.899 <48, 33> <48, 33> 48 240 accurate A3.907 <24, 12> <24, 12> 24 120 accurate A3.908 <24, 12> <48, 48> 24 120 accurate A3.909 <24, 12> <24, 12> 24 120 accurate A3.910 <24, 12> <24, 12> 24 120 accurate A3.916 <48, 48> <48, 48> 48 240 accurate A3.918 <32, 9> <32, 9> 32 160 accurate A3.921 <32, 11> <32, 11> 32 160 accurate A3.944 <24, 12> <48, 48> 24 120 accurate A3.945 <24, 12> <48, 48> 24 120 accurate A3.947 <24, 12> <24, 12> 24 120 accurate A3.950 <24, 12> <48, 48> 24 120 accurate A3.951 <24, 12> <24, 12> 24 120 accurate A3.952 <24, 12> <24, 12> 24 120 accurate A3.953 <24, 12> <48, 48> 24 120 accurate A3.955 <24, 12> <24, 12> 24 120 accurate A3.961 <12, 3> <24, 13> 24 120 perfect A3.966 <8, 2> <16, 5> 16 80 perfect A3.968 <8, 2> <16, 6> 16 80 perfect A3.969 <16, 13> <32, 43> 16 80 accurate A3.1004 <48, 3> <96, 72> 48 288 accurate A3.1028 <24, 3> <48, 29> 24 144 accurate A3.1034 <21, 1> <42, 1> 21 126 accurate A3.1036 <21, 1> <42, 1> 21 126 accurate A3.1046 <24, 12> <24, 12> 24 144 accurate A3.1047 <24, 12> <24, 12> 24 144 accurate A3.1048 <12, 3> <24, 13> 24 144 perfect A3.1049 <24, 12> <24, 12> 24 144 accurate A3.1050 <24, 12> <24, 12> 24 144 accurate A3.1052 <24, 12> <24, 12> 24 144 accurate A3.1053 <24, 12> <24, 12> 24 144 accurate A3.1059 <24, 12> <24, 12> 24 144 accurate A3.1062 <24, 12> <24, 12> 24 144 accurate A3.1063 <24, 12> <24, 12> 24 144 accurate A3.1064 <24, 12> <48, 48> 24 144 accurate A3.1066 <24, 12> <48, 48> 24 144 accurate A3.1074 <24, 12> <24, 12> 24 144 accurate A3.1076 <16, 11> <16, 11> 16 96 accurate A3.1077 <16, 13> <16, 13> 16 96 accurate A3.1104 <8, 2> <16, 10> 16 96 perfect A3.1108 <8, 2> <16, 13> 16 96 perfect A3.1148 <48, 3> <96, 64> 16 96 fair A3.1268 <24, 12> <48, 48> 12 72 fair A3.1271 <24, 12> <24, 12> 24 168 accurate A3.1272 <168, 42> <336, 208> 24 168 platonic A3.1274 <24, 12> <24, 12> 24 168 accurate A3.1276 <12, 3> <24, 13> 24 168 perfect A3.1277 <24, 12> <24, 12> 24 168 accurate A3.1278 <24, 12> <24, 12> 24 168 accurate A3.1280 <24, 12> <24, 12> 24 168 accurate A3.1283 <24, 12> <24, 12> 24 168 accurate A3.1286 <12, 3> <24, 13> 24 168 perfect A3.1291 <16, 11> <16, 11> 16 112 accurate A3.1296 <16, 13> <16, 13> 16 112 accurate A3.1306 <8, 2> <16, 6> 16 112 perfect A3.1327 <8, 2> <16, 5> 16 112 perfect A3.1351 <8, 2> <16, 6> 16 112 perfect A3.1352 <8, 2> <16, 5> 16 112 perfect A3.1378 <12, 3> <12, 3> 12 84 accurate A3.1382 <96, 64> <192, 956> 12 96 platonic A3.1384 <24, 12> <24, 12> 12 96 fair A3.1397 <12, 3> <12, 3> 12 96 accurate --------------------------------------------------------------------- # perfect maps: 25 # accurate maps: 69 # fair maps: 5 # platonic maps: 4