#N Irrational density pattern
#C A stifled breeder moves east, creating stifled guns aimed southwest.
#C The output of "p60 version of Irrational 5" causes an irrational
#C fraction of the guns to be turned on.  Specifically, if the guns
#C are numbered starting at 1 then gun number N becomes active iff
#C N has the form  floor(K (3 + sqrt(5))/2)  for some integer  K >= 1.
#C In generation T, the outputs of the guns form a triangle with
#C vertices at about  (0,0),  (-T/4, -T/4),  and  (T/6, 0);  within
#C this triangle the density of live cells is asymptotic to
#C (3 - sqrt(5))/90.
#O Dean Hickerson, dean.hickerson@yahoo.com (1/2/99)
x = 400, y = 248, rule = B3/S23
127b2o$126b4o$126b2ob2o$128b2o15b2o$143b2ob2o$143b4o$144b2o2$132b2o$
126b3o3b2o9bo$126b3o14b2o$125bo3bo12bob2o$41bo83b4o13bobo$40bobo83b3o
13b2o$23b2o15b2obo58b3o$23bobo14b2ob2o3b2o51b5o$14bo11bo13b2obo5bo51b
3ob2o30bo15b2o$14b2o7bo2bo13bobo61b2o32bo6b2o5b4o$26bo8bo5bo92bo3bo4b
2ob2o4b2ob2o$23bobo7bobo71bobo18b4o3b4o4b4o7b2o15b2o$23b2o9b2o72b2o17b
o3bo12b2o23b2ob2o$108bo14bo7bo17b2o18b4o$121b4o2bo2bo18bo20b2o$122bob
2o22bobo$121b4o2bo2bo17bo$123bo7bo16bo15b2o3bo$127bo3bo30b3o4b2o$128b
4o29bo2bo5b2o$20bobo138bo7b2o$18bo3bo138b2o$11b2o5bo10b2o3b2o$11bo5bo
10bobo3bo2bo$18bo11bo7bo97bobo24bo$18bo3bo15bo98b2o25bo6b2o$20bobo15bo
98bo22bo3bo4b2ob2o$34bo2bo6b2o105b4o6b4o4b4o$34b2o8bobo56bo31bo14bo3bo
15b2o$46bo55bo31bobo9bo7bo$46b2o54bo4bo25bo7b7o2bo2bo$38b2o62b5o27b2o
4bo2b3ob2o$38bo2bo93b2o4b7o2bo2bo$24bobo15bo6b2o85b2o8bo7bo$22bo3bo15b
o7bo85b2o12bo3bo$22bo19bo108b4o$15bo5bo16bo2bo$15b2o5bo15b2o$22bo3bo
53b2o$24bobo49b4ob2o$76b6o$77b4o5b4o47b4o$59bo25b6o18bo26bo3bo$57b3o
25b4ob2o18bo21bo7bo$56bo32b2o15bo3bo19b4o2bo2bo$56b2o49b4o20bob2o$130b
4o2bo2bo$132bo7bo8b2o5b4o$136bo3bo6b2ob2o3bo3bo$76b2o28b2o29b4o6b4o8bo
$76bobo27bobo39b2o8bo$17b2o9b2o12b2o33bo29bo17b3o$17bobo7bobo12bo84bo$
8b2o10bo8bo5bo4bobo83bo28b2o$8bo8bo2bo13bobo3b2o96b5o12bobo$20bo13b2ob
o100bo18bo$17bobo14b2ob2o91b3o6b3o13b3o$17b2o15b2obo94bo7bo4b2o$34bobo
94bo13bo$35bo19b2o$55bo$156b4o$55bo2bo82bo13bo3bo$54bo2bo84bo16bo$25b
2o27bobo81bo3bo15bo$25bobo27bo83b4o$16b2o10bo14bo$16bo8bo2bo13bobo10b
2o$28bo13b2obo9bo$25bobo14b2ob2o4bo$25b2o15b2obo4b2o$42bobo$43bo31b2o
9b2o$55b3o16b2o9bobo$57bo11bo6bo7b3o$46bo9bo11bobo12b3o$45bobo18b2o3bo
12b3o$45b2obo8bobo7bo3bo13bobo5b2o$33b2o10b2ob2o6bo2bo6b2o3bo14b2o5bob
o$33bo11b2obo6b2o11bobo24bo$45bobo5b2o3bo10bo25b2o$46bo8b2o$56bo2bo$
57bobo32bo$90bobo$80b2o6b2o$79bo4bo3b2o12b2o$78bo4b2o3b2o13bo91b2o$68b
o9bo11bobo101b4o$68b2o8bo13bo101b2ob2o$79bo116b2o15b2o$80b2o129b2ob2o$
211b4o$212b2o$112bo$110b3o87b2o$109bo75bobo6b3o3bo10bo$109b2o75b2o6b3o
14b2o$186bo6bo3bo12bob2o$193b4o13bobo$194b3o13b2o$180bobo$181b2o$72bo
22b2o66bo17bo23bo$69b4o22bo66bobo27b2o12bo6b2o$61b2o5b4o7bo4b2o7bobo
66b2o27b4o7bo3bo4b2ob2o$61bo6bo2bo7b2o3bobo6b2o96b2ob2o7b4o4b4o$68b4o
6bobo4b3o99bo5b2o17b2o$69b4o13b3o94bo4bo$72bo12b3o96b2o2b2o$84bobo96bo
4bo$84b2o101bo5b2o$191b2ob2o$191b4o$192b2o$155b4o94b4o$80bo73bo3bo15bo
77bo3bo15bo$77b4o77bo16bo80bo16bo$69b2o5b4o12b2o63bo13bo3bo79bo13bo3bo
$38bobo28bo6bo2bo12bobo77b4o94b4o$38bo3bo33b4o13b3o151bo$42bo7bo26b4o
13b3o7bo100bo42bo$22bo20bo4b4o28bo12b3o7b2o101bo39b3o$21bobo18bo4bobob
2o39bobo75b2o30bo3bo56bo4b2o$11b2o6b2o3bo13bo3bo3bo2bob3o9bo28b2o75bo
2b2o29b4o13b4o36b4o3b2ob2o$10bobo4b2obo3bo13bobo6bobob2o9b2o104b3o2bo
45bo3bo35b5o4bo2bo$9b3o4b3obo3bo23b4o116bo4bo49bo34bo9bo2bo$o7b3o4bo2b
2obobo26bo117b5o49bo36b2o8b2o$2o7b3o4b2o4bo146b2o89bo$10bobo117b5o93b
5o51b2o8bo$11b2o32b2o9b2o71bo4bo29b2o5bo2bo39b2o3b2o6bo4bo29b2o8bo10b
4o8bo$44bo2bobo3bobo2bo75bo28b4o8bo36bo6bobo10bo28b4o8bo9b2ob2o3bo3bo$
44b3o9b3o74bo29b2ob2o3bo3bo35bo2bo6bo9bo29b2ob2o3bo3bo11b2o5b4o$47b2o
5b2o102b2o5b2o5b4o34b2o7b3o34b2o5b2o5b4o$46bo2b5o2bo99b2ob2o50b2o41b2o
b2o22bo$46b2o7b2o95bo3b4o18b3o69bo3b4o22b2o$63b2o85b2obo3b2o18b5o67bob
o3b2o22bob2o7b2o$63bo86bo3bo22b3ob2o5bo58b2o3bo26bobo7bo2b2o$150b2obo
3b2o21b2o4bobo24b2o5b4o25bobo3b2o22b2o3bo3b3o2bo$152bo3b4o27b2o16b2o4b
2ob2o3bo3bo26bo3b4o23bob3o2bo4bo$156b2ob2o43b4o3b4o8bo30b2ob2o29b5o$
158b2o44b2ob2o3b2o8bo33b2o31b2o$206b2o$23b2o177bo88bo2bo$22bobo175bobo
92bo$12b2o7bo12bo19b4o84b2o58bo73bo14bo3bo$12bo8bo2bo5bo2bobo17bo7b2o
79bobo61b2o69bo14b4o$21bo8bobob2o11bo5bo3b2o3bo80b3o40bo17b2ob2o64bo3b
o$22bobo6b2ob2o10b2o6bo3bo85b2o41bo16b4o66b4o$23b2o7bob2o105b2o9b3o28b
o3bo17b2o$33bobo105b3o8bo31b4o82bo$34bo118bo117bo$267bo3bo$142b2o124b
4o$142bo120b3o122b3o7bo$261b2ob2o121b5o7bo$193b2o28b2o28b2o8b3o121b3ob
2o2bo3bo$192bobo27bobo27bobo13b4o118b2o4b4o$172bo19b2o28b2o28b2o13bo3b
o$170bobo98bo$157b2o9b2o100bo73b2o$131b2o25bo9b2o12b2o156b4ob2o47b2o$
129bo2bo27b2o6b2o13bo156b6o47b2ob2o$128bo13bo17b3o7bobo168b4o49bo2bo$
120b2o6bo11b4o16b2o10bo215bo5bo2bo$120bo7bo11b2ob2o13bo228b2o6b2o$129b
o2bo8bob3o11b2o228bo$131b2o7b2ob2o49b2o28b2o28b2o28b2o28b2o28b2o28b2o$
140b4o50bobo27bobo27bobo27bobo27bobo27bobo27bobo$142bo45b2o5b2o21b2o5b
2o21b2o5b2o21b2o5b2o21b2o5b2o28b2o28b2o17b2o$189bo29bo29bo29bo29bo71b
5o5b3ob2o$186b3o27b3o27b3o27b3o27b3o71bo4bo5b5o$186bo29bo29bo29bo29bo
78bo6b3o$374b4o6bo$373bo3bo$369bo7bo$367b4o2bo2bo$368bob2o$334b2o31b4o
2bo2bo$196b2o134b2ob2o32bo7bo$196bo131bo3b4o37bo3bo12b2o$204b2o123bo3b
2o39b4o3b4o4b4o$203b4o120bo2bo49bo3bo4b2ob2o$203b2ob2o121bo3b2o15b2o
32bo6b2o$198b2o5b2o121bo3b4o11b3ob2o30bo$200bo131b2ob2o10b5o$200b2o
132b2o12b3o27bo8bo$200bo173bo3bo7b4o$198b2o5b2o132b2o32bo3bo3b8obo$
203b2ob2o6b2o8bo113b4o32bo6bo8b2o$203b4o6b4o8bo112b2ob2o14b2o16b2o9bob
3o$204b2o7b2ob2o3bo3bo114b2o14b4o20b2o5b3o$151bo63b2o5b4o106b2o22b2ob
2o19bo$152bo115bo63bobo23b2o$146bo5bo116bo62bo57b2o$147b6o52bo59bo3bo
84bo34b4o$203bo2bo13b2o44b4o13b4o65bo36b2ob2o$203bo3bo11b2ob2o58bo3bo
61bo3bo2b2o17b2o15b2o$196b2o5bo3bo12bo2bo62bo57bo2b3obo5bo14b2ob2o$
195bobo5bo3bo12bo2bo61bo57bob5o2bobo2b2o13b4o$197bo6bobo3b2o9b2o119b2o
b2o5bo3b2o15b2o$205bo4bo70bo61bo2bo7b3o$176bo104b3o$177bo6b2o38bo55bo
3bo59b2o$173bo3bo4b2ob2o38bo51b3o4bo72b2o$174b4o4b4o35bo3bo51b3obob2o
63b4o4b4o$183b2o20b4o13b4o51b2o3bo64bo3bo4b2ob2o$204bo3bo70bobo69bo6b
2o$208bo54bo86bo$179b4o24bo56bo$179bo2b2o76bo3bo11b2o5b4o$156b2o22bo2b
2o76b4o9b2ob2o3bo3bo$157b2o21bo2bo72b3o15b4o8bo91bo$156bo24b2o71b2ob2o
16b2o8bo93bo$256b3o116bo3bo$261b4o111b4o$260bo3bo102b2o2b3o$184b2o78bo
102b2o2bobo$166b2o14b2ob2o76bo103b2o2b3o$165b4o13b4o66b4o120b4o5b2o8bo
$165b2ob2o13b2o66bo3bo119bo3bo4b4o8bo$167b2o86bo123bo4b2ob2o3bo3bo$
254bo123bo7b2o5b4o3$389bobo$387b2o3bo$387b3obob2o$387b3o4bo$390bo3bo$
363bo27b3o$364bo26bo$358bo5bo6b2o$359b6o5bobo22bo$372bo23bo$392bo3bo$
376b4o13b4o$375bo3bo$379bo$378bo!