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  1. #N Infinite glider hotel
  2. #C The name is derived from the old mathematical "infinity hotel"
  3. #C scenario, where a hotel with an infinite number of rooms always has
  4. #C room for more guests by shuffling the old guests around.
  5. #C Here two pairs of double Corderships are pulling slowly apart at
  6. #C c/12 such that there is an ever-lengthening glider track between
  7. #C them.  Every 1920 generations another glider is injected into the
  8. #C glider track, joining the gliders already circulating there.
  9. #C Eventually an arbitrarily large number of gliders will be traveling
  10. #C around the track.
  11. #C The tricky bit to this construction is that even though all the
  12. #C previously injected gliders are repeatedly flying through the
  13. #C injection point, that point is guaranteed to be empty when it is
  14. #C time for the next glider to be injected!
  15. #O David Bell, dbell@pdact.pd.necisa.oz.au, Oct 9 1992
  16. x = 566, y = 572
  17. 13b2o$13b2o6$13b3o2$13bobo$12b5o$11b2o3b2o$11b2o3b2o4$2bo6bo$b2o6b2o$
  18. 3o6b3o$b2o6b2o$2bo6bo150$282b2o$282bo3b2o$281bo6bo7b3o$279b5o3bo5b3o$
  19. 282bo3bo6b3o$279bo2bo11bo$271b2o7b2o$271b2o2$305bo$305bo$305bo$303b2o$
  20. 302b3o$263b2o38b2o$263b2o4$305bo$304bo$305bo$255b2o$255b2o36bo$292bobo
  21. $291b2ob2o$294b2o$288b2o$290bo2b3o16bobo7b3o$288b2obo21bo5b3o$247b2o
  22. 41bo2bo25b3o$247b2o41bo29bo$257bo33b2o$250bo3bo2bobo2bo$250b5ob2o4bo
  23. 29bo$251bobo4bo3bo27b2ob2o36bo$291bo39bo$258b3o33bo36bo$259bo32bo12bob
  24. 2o20b2o$296bobo6bob3o18b3o$298bo4bobo4bo18b2o$295bo3bobo6b2o$297b2o2bo
  25. 2bo3bo$298bo3b2obo$304bobo$272b3o29bobo24bo$330bobo$270bo58bo2bo$269b
  26. 2o3bo$270bobo$273b3o54bo2bo$273bo54b3ob2o$327bo2b2o24bobo$273b2o52bo2b
  27. o25bo2bo$272b2o54bobo25bobo$273bo67b2o$272b2o66bobo$273b2o65b3o13bo$
  28. 283bo55bo2bo11b2obo$276bo3bo2bobo2bo52bo12b2obo$276b5ob2o4bo43b2o7bo
  29. 12bo3bo$277bobo4bo3bo37b2o4b2o20b4o$326b2o11bo15b3o$284b3o55bo26bo$
  30. 285bo53bo2bo19bo5bobo$341b3o16b2ob2o$341b3o16b2o3bo2b3o$340bo2bo16b2ob
  31. 2o$324b2o14bobo18b4o$318b2o4b2o14b3o11bo$318b2o34b2o$240b2o56b3o52b2ob
  32. o$239b2o111b2o2bo$241bo21b2o31bo54b3ob4o$262bobo30b2o3bo49b2o2bobo2bo$
  33. 252b2o7bo13bobo18bobo51b3obobobo$252b2o7bo2bo6b2o2bo2bo20b3o14b2o32bob
  34. 3ob2o$261bo8bobo5b2o19bo10b2o4b2o31bobo2b4o$262bobo3bo3bo3bo3b2o4b2o
  35. 22b2o38bo3bo27bobo$263b2o2b2ob3o5b2o6b2o11b2o49bo3bo27bo2bo$270b2o3bo
  36. 2bo19b2o51bo2bo27bobo$275bobo21bo$298b2o$299b2o81bo$261bo118b2obo$261b
  37. obo38b2o49bo26b2obo$238bo22b2o39b2o21bobo52bo3bo$236bobo85b2ob2o51b4o$
  38. 227bo7bobo86b2obo24b2o27b3o$226b2o6bo2bo11b2o72bo27b3o20bo20bo$225b2o
  39. 4b2o2bobo11b2o73bo26bo21bobo12bo5bobo$215b2o7b3o4b2o3bobo15bo69bo21b2o
  40. 23b2o2bo10b2ob2o$215b2o8b2o4b2o5bo14bo91bo25b7o8b2o3bo2b3o$226b2o25b3o
  41. 90b4o21bo3bo2bo7b2ob2o$227bo107bo11b3o18b7o2b3o7b4o$239bo94b3o22b2o2bo
  42. 8bo2b3o$234b4o2bo9b4o26b4o75b2o11b2ob2o$236bob3o8bo3bo25bo3bo50b3o21b
  43. 2o8bo2bob3o$237bo15bo29bo5b3o39b2ob2o33b2ob3o$234bo14bo2bo26bo2bo6bo
  44. 43bo20b2o15bo$237bo52bo63b2o$234bo119b2obo$355bobo$227bo128bo$227b2o$
  45. 226bobo152b3o$379b2ob4o4b4o$214b2o27bo135bo2b2o4b2obobo$213bobo26b2o
  46. 135b3o9b2o$203b2o7bo6b2o4bo16bobo139bobo3bo$203b2o7bo2bo2bo2bo2bobo26b
  47. o$212bo6b3obob2o25bobo$213bobo6b2ob2o14bo8b2o3bo9b2o84bobo$214b2o7bob
  48. 2o14b4o5b2o3bo9b2o83b2ob2o$224bobo15b4o4b2o3bo94b2obo$225bo16bo2bo6bob
  49. o94bo37b2o$242b4o7bo72b2o22bo36b2o$241b4o80bobo22bo$241bo82b3o$324b2o$
  50. 324b2o35bo$186b2o137bobo32b3o$186b2o138bo$360b3o16b2o$357b2ob2o17b2o$
  51. 323b2o3b2o29bo$323b2o3b2o2$199bo119b3o3b3o$178b2o17b2ob2o117bo5b3o$
  52. 178b2o16b3o121bo5bo$318bo52b2o$196b3o119b2o51b2o$197bo119bobo3$208bo
  53. 114b3o$170b2o36bo114b3o$170b2o37bo112bo3bo$205bob2o101b2o$204b2ob2o
  54. 102b2o8b2o3b2o$205bobo102bo3$168bo3bobo$166b2o9b3o$165bobob2o4b2o2bo
  55. 123bo$165b4o4b4ob2o123b2o$175b3o124bobo2$202bo87b2o31b2o$201bobo85bobo
  56. 31b2o$201bob2o74b2o7bo6b2o4bo$203b2o74b2o7bo2bo2bo2bo2bobo$187bo15b2o
  57. 20bo62bo6b3obob2o$184b3ob2o33b2ob2o61bobo6b2ob2o10b2o$183b3obo2bo8b2o
  58. 21b3o65b2o7bob2o10b2o$182b2ob2o11b2o100bobo$181b3o2bo8bo2b2o22b3o76bo$
  59. 168b4o7b3o2b7o18b3o11bo$168b2ob2o7bo2bo3bo21b4o$162b3o2bo3b2o8b7o25bo$
  60. 168b2ob2o10bo2b2o23b2o21bo$162bobo5bo12bobo21bo26bo$163bo20bo20b3o27bo
  61. $175b3o27b2o24bob2o$175b4o51b2ob2o$174bo3bo52bobo21b2o$175bob2o26bo49b
  62. 2o$175bob2o$176bo81b2o$259b2o$259bo$174bobo27bo2bo51b2o$173bo2bo27bo3b
  63. o49b2o$174bobo27bo3bo38b2o$201b4o2bobo31b2o4b2o10bo$201b2ob3obo32b2o
  64. 14b3o$200bobobob3o51bobo$199bo2bobo2b2o49bo3b2o83bo$200b4ob3o54bo85bo$
  65. 202bo2b2o139b3o$202bob2o52b3o$203b2o34b2o$204bo11b3o14b2o4b2o$194b4o
  66. 18bobo14b2o$194b2ob2o16bo2bo$188b3o2bo3b2o16b3o$194b2ob2o16b3o$188bobo
  67. 5bo19bo2bo53bo$189bo26bo55b3o$201b3o15bo11b2o$201b4o20b2o4b2o37bo3bo4b
  68. obo$200bo3bo12bo7b2o43bo4b2ob5o$201bob2o12bo52bo2bobo2bo3bo$201bob2o
  69. 11bo2bo55bo$202bo13b3o65b2o$216bobo66b2o$216b2o67bo$200bobo25bobo54b2o
  70. $199bo2bo25bo2bo52b2o$200bobo24b2o2bo$225b2ob3o54bo$225bo2bo54b3o$286b
  71. obo$284bo3b2o$226bo2bo58bo$226bobo$227bo24bobo29b3o$252bobo$253bob2o3b
  72. o$250bo3bo2bo2b2o$249b2o6bobo3bo$228b2o18bo4bobo4bo$228b3o18b3obo6bobo
  73. $228b2o20b2obo12bo32bo$227bo36bo33b3o$227bo39bo$227bo36b2ob2o27bo3bo4b
  74. obo$266bo29bo4b2ob5o$296bo2bobo2bo3bo$266b2o33bo$238bo29bo41b2o$237b3o
  75. 25bo2bo41b2o$237b3o5bo21bob2o$234b3o7bobo16b3o2bo$269b2o$263b2o$263b2o
  76. b2o$264bobo$265bo36b2o$302b2o$253bo$254bo$253bo4$294b2o$254b2o38b2o$
  77. 254b3o$254b2o$253bo$253bo$253bo2$286b2o$277b2o7b2o$264bo11bo2bo$263b3o
  78. 6bo3bo$263b3o5bo3b5o$260b3o7bo6bo$271b2o3bo$275b2o129$558bo4bo$556b2ob
  79. 4ob2o$552bo5bo4bo$551bo$551bo3$549b2o3b2o$550b5o$551b3o$552bo8$552b2o$
  80. 552b2o!
  81.