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Text File  |  1998-06-24  |  4KB  |  77 lines
  1. #C Subject: Here is a glider sawtooth
  2. #C Date: Sat, 29 Aug 92 15:43:42 +1000
  3. #C From: dbell
  4. #C
  5. #C My meager construction talents were heavily taxed, but I finally managed
  6. #C to construct a glider sawtooth pattern using two Corderships.  But I
  7. #C couldn't figure out how to pack it as tight as is possible.  Oh well, at
  8. #C least it works.  One interesting thing is that I used my in-line NOT gate
  9. #C to demonstrate it.
  10. #C
  11. #C This uses a period 960 glider gun, two Corderships, a buckaroo, and an eater.
  12. #C The glider gun attempts to fire a stream of gliders at a pair of receeding
  13. #C Corderships.  Each glider that reaches the Corderships is reflected by 180
  14. #C degrees and is returned on a parallel path.  Each returned glider is reflected
  15. #C 90 degrees by a buckaroo so as to intersect the outgoing glider stream.
  16. #C The collision of those two gliders (with help from an eater), produces a
  17. #C block in the path of the glider stream.  The block is then deleted by the
  18. #C next glider in the stream.  Therefore each returning glider suppresses two
  19. #C outgoing gliders.
  20. #C
  21. #C There are the following phases for population growth and decline:
  22. #C
  23. #C 1. A stream of gliders grows from the glider gun to reach the Corderships,
  24. #C    which reflect those glider back into a second stream which is one half
  25. #C    the density of the outgoing stream.  The population of the gliders is
  26. #C    maximum when both streams are full.
  27. #C
  28. #C 2. The returning gliders turn off the outgoing stream by deleting pairs
  29. #C    of outgoing gliders.  This continues until all of the gliders that have
  30. #C    been sent out are consumed.  The population of the gliders is minimum (0)
  31. #C    when both streams are empty.
  32. #C
  33. #C Since the Corderships are receeding, the glider streams get longer each
  34. #C cycle, and so this pattern is indeed a sawtooth.
  35. #C
  36. #C As Dean has pointed out, the expansion factor for this sawtooth is just 4.
  37. #C And since the growing population is just made up of a thin stream of gliders,
  38. #C it takes a few cycles for the population to even double.  (I have only run
  39. #C this for two cycles.)
  40. #E
  41. x = 188, y = 335
  42. 33boo$33boo$2$34bo$33b3o$32bo3bo$34bo$31bo5bo$31bo5bo$32bo3bo$33b3o$
  43. 5$22bobobbobo$18boobobbobbobboboo$22bobobbobo$103$161bo$159bobo$
  44. 152boo4bobo17bo$152boo3bobbo16boo$158bobo15boo4boo$159bobo13b3o4boobboo$
  45. 161bo4bobo7boo4boobboo$166boo9boo$167bo10bo$2$152b3o$152bo$153bo6bo$158boo$
  46. 159boo$4$146bo$144bobo$137boo4bobo17bo$137boo3bobbo16boo$143bobo15boo4boo$
  47. 144bobo13b3o4boobboo$146bo4bobo7boo4boobboo$151boo9boo$132bo19bo10bo$
  48. 132b3o$135bo$134boo$13$156boo$156bobbo$1$160bo$1$158boo$157bo$2$154boo3boo$
  49. 154boo3boo$155b5o$156bobo$1$156b3o$4$159boo$159bo$160b3o$162bo$2$30boo$
  50. 30boo$4$35boo$35bobo$22boo7boobobbo$22boo6bobob3o$30bo3bo$30bo3bo$31bobo$
  51. 32bo$2$14boo$14boo$5$52boo$6boo43bobbo$6boo43boboo$49b4o$48bo$47bo3boo$
  52. 48bo3bo$49b3o$1$61boo$61bobo$57boobobbo$bo54bobob3o$obobobo49bo3bo$
  53. bo3bo50bo3bo$4boo51bobo$3bobo52bo$bbobbo$booboo$1$o3bo27bobo$o3bo22boob3oboo$
  54. o3bo22b4o4bo$b3o23boo5b3o$34bo$25b3o$78boo$40bo36bobbo$40b3o34boboo$
  55. 39booboo31b4o$74bo$24bo17boo29bo3boo12boo$19b5o18bo31bo3bo6boo4boo$
  56. 15b3obobbobo16boo32b3o7boo$14bo6bo19bo$14bo4boo3bo15b3o57boo$
  57. 14bo4bo3bobo12bob3o56bobbo$15b3o6bo13bo64bo4bo$27bo10bo65bobbobbo$
  58. 26bobobobo50boo13boo4bobbobbo$27bo3bo45boo4boo11boobo4bo5bo$
  59. 30boo45boo19bob3o4bobo$29bobo75bobobb3o$28bobbo78boo$27booboo83bo$
  60. 110booboo$26bo3bo$26bo3bo44boo$26bo3bo38boo4boo35b3o$27b3o39boo44bo$
  61. 111bo4bo$81bo29bo5bo$79b4o28bo5bo$79boobo29boobbo$82boo27bobo$
  62. 67boo13boo28bo$61boo4boo13bobbo26bo$50bo10boo23bo$45b5o34bo$
  63. 41b3obobbobo34bo23bo$40bo6bo60bobo$40bo4boo3bo54boboobo15boo$
  64. 40bo4bo3bobo40boo10boboobo15bobbo$41b3o6bo40bobo9b5o21bo4bo$
  65. 90bobo9boobboo22bobbobbo$90bo12boobboo15boo4bobbobbo$
  66. 91boo10b3oboo13boobo4bo5bo$92bo11boob3o14bob3o4bobo$91boo24boo14bobobb3o$
  67. 64b4o22boo19bo4bobbo16boo$62b3oboo21b3o19b3o3boo22bo$
  68. 61booboo23boo5bo14b7o18booboo$60bo27b3o4bo18b3o$61b3o24b3o3bo16boobbobo$
  69. 62bo25b3o20b3oboo21b3o$89booboo18b4o25bo$89booboo20bo22bo4bo$
  70. 90bobo44bo5bo$91bo45bo5bo$138boobbo$137bobo$138bo$107bo30bo$106bo$
  71. 105bo$82boo18boo11boo$82boo17b3o6b3obobo29boo$81bobo16bo7b3obobbo30boo$
  72. 81b3o17b9o3boo$79bobbo19b7o$78booboo21b3o$79bobo$80bo40bo$119bobbo$
  73. 120bo17boo$90b4o29boo13boo$88b3oboo28b5o$87booboo34boo$86bo38boo$
  74. 87b3o35boo$88bo$1$130boo$130boo$6$122boo$108boo12boo$108boo$107bobo$
  75. 107b3o$105bobbo$104booboo$105bobo$106bo$!
  76.  
  77.