simsim's response in the linked thread was:Scorbie wrote:I also said sth similar and here's the response I got.
viewtopic.php?f=2&t=1600&p=16520&hilit= ... box#p16527
To make things more concrete I tried to find a low population gun for each congruency class modulo 8. My best selection so far is:simsim314 wrote:You can create any glider gun period with constant number of initial cells. Think of duplicator and three snarks, you just need to adjust the timing and placement properly.
On the other hand inside some box you can't place all the possible guns, as inside a box there is 2^(w * h) possible patterns (and thus periods), which limits your options
Code: Select all
x = 1166, y = 150, rule = B3/S23
590bo11b2o$589bobo10b2o$581bo3b2o2bobo$572b2o6bobo2bo2b2ob2o$572b2o6bo
bo3bobo$383bo11b2o184bob4o2bob2o$382bobo10b2o186bo3bobob2o$374bo3b2o2b
obo197bo3bobo$365b2o6bobo2bo2b2ob2o195bo3bobo$365b2o6bobo3bobo199b2o3b
o$374bob4o2bob2o$376bo3bobob2o$375bo3bobo$374bo3bobo213b2o$374b2o3bo
214b2o$609b2o375b2o$608bo2bo374b2o$391b3o215b2obo529bo11b2o$209bo183bo
168b2o48bo528bobo10b2o$209b3o179b3o168b2o48b2o519bo3b2o2bobo$212bo189b
2o193b2o525b2o6bobo2bo2b2ob2o$29bo181b2o6bo181bo2bo193bo525b2o6bobo3bo
bo$29b3o186bobo181b2obo189b3o189bo11b2o332bob4o2bob2o$32bo186bo135b2o
48bo177b2o10bo190bobo10b2o334bo3bobob2o$31b2o6bo315b2o48b2o176bobo192b
o3b2o2bobo345bo3bobo$38bobo349b2o193bo183b2o6bobo2bo2b2ob2o181b2o160bo
3bobo$39bo166b2o183bo193b2o182b2o6bobo3bobo185b2o160b2o3bo$206b2o6b2o
172b3o387bob4o2bob2o$214b2o160b2o10bo391bo3bobob2o$26b2o348bobo400bo3b
obo$26b2o6b2o187b2o153bo399bo3bobo361b2o$34b2o187b2o153b2o398b2o3bo
167b2o11bo181b2o$951b2o10bobo195b2o$43b2o163b2o753bobo2b2o3bo186bo2bo$
43b2o162bobo585b3o164b2ob2o2bo2bobo186b2obo$207bo589bo168bobo3bobo139b
2o48bo$28b2o176b2o587b3o164b2obo2b4obo17b2o121b2o48b2o$27bobo776b2o
154b2obobo3bo19bo157b2o$27bo777bo2bo157bobo3bo19b3o155bo$26b2o778b2obo
157bobo3bo20bo152b3o$578bo180b2o48bo158bo3b2o161b2o10bo$579b2o178b2o
48b2o324bobo$578b2o214b2o341bo$795bo158b3o180b2o$792b3o159bo186b2o$
371bo408b2o10bo161b3o185bo$372b2o406bobo161b2o196bobo$371b2o409bo160bo
2bo185bo10b2o$782b2o158bob2o184b3o$786b2o144b2o8bo186bo$787bo137b2o5b
2o7b2o186b2o$787bobo135b2o29b2o32b2o122b2o48b2o$777bo10b2o166bo33b2o
123bo48b2o$183b2o5b2o583b3o179b3o24b2o129bob2o$184bo5b2o582bo152b2o24b
o5bo24b2o130bo2bo$184bobo76b2o509b2o151b2o24b3o161b2o$3b2o5b2o173b2o
76bo495b2o48b2o110b2o33bo170b3o$4bo5b2o70b2o105b2o70bobo377b3o116bo48b
2o110b2o32b2o29b2o139bo$4bobo75bo105bobo28bo37b2o2b2o378bo118bob2o206b
2o7b2o5b2o139b3o$5b2o73bobo106bo29b3o35b2o383bo118bo2bo205bo8b2o$9b2o
27bo37b2o2b2o140bo539b2o203b2obo$8bobo27b3o35b2o107b2o22bo11b2o11b2o
536b3o191bo2bo171bo3b2o$9bo31bo141bob2o20b3o24b2o198b3o335bo194b2o171b
obo3bo$5bo22bo11b2o11b2o127bo23bo227bo337b3o177b2o185bobo3bo$4bobo19b
3o24b2o130bo20b2o227bo516b2o181b2obobo3bo$3bo3bo17bo155b2obo6b2o942b2o
bo2b4obo5b2o$2bo3bo18b2o154b2o9bo593bo3b2o347bobo3bobo5bo$bo3bo4b2o
180bob2o589bobo3bo343b2ob2o2bo2bobo2b3o$o3bo6bo181bo2bo587bobo3bo148b
2o3bo191bobo2b2o3bo3bo$bobo7bob2o179b2o9bo574b2obobo3bo149bo3bobo178b
2o10bobo$2bo9bo2bo190b2ob2o569b2obo2b4obo5b2o141bo3bobo177b2o11bo$13b
2o190b2o2b2o34b2o537bobo3bobo5bo142bo3bobob2o$23b3o218bobo18b2o513b2ob
2o2bo2bobo2b3o141bob4o2bob2o$23bo40b2o178bo20bobo513bobo2b2o3bo3bo142b
obo3bobo$23b3o37bobo18b2o157b2o22bo501b2o10bobo154bobo2bo2b2ob2o$63bo
20bobo131bo3b2o43b2o500b2o11bo156bo3b2o2bobo$62b2o22bo130bobo3bo723bob
o10b2o$37bo3b2o43b2o128bobo3bo725bo11b2o$36bobo3bo169b2obobo3bo7b3o$
35bobo3bo170b2obo2b4obo$31b2obobo3bo175bobo3bobo3bo3bo$31b2obo2b4obo5b
3o161b2ob2o2bo2bobo3bo3bo27b2obo661b2o$35bobo3bobo5bo163bobo2b2o3bo36b
2ob3o658bo2bo$31b2ob2o2bo2bobo35b2obo118b2o10bobo12bo3bo33bo658b2o$32b
obo2b2o3bo5b3o28b2ob3o116b2o11bo12bob3obo26b2ob3o$20b2o10bobo12bo3bo
33bo141bo5bo27bobo$20b2o11bo12bo5bo26b2ob3o141b2obobob2o26bobo$46bobob
obo27bobo142bo2b2ob2o2bo26bo$45b2obobob2o26bobo142b2o7b2o$44bo2b2ob2o
2bo26bo$44b2o7b2o362bo$418bo$416b3o15$480b2o$479b2o$481bo9$680b2o$681b
o$681bobo$671bo10b2o$669b3o$473b2o193bo$474bo193b2o$474bobo176b2o48b2o
$464bo10b2o177bo48b2o$462b3o189bob2o$461bo193bo2bo$461b2o193b2o$446b2o
48b2o168b3o$447bo48b2o168bo$447bob2o215b3o$448bo2bo$449b2o$459b3o218bo
3b2o$459bo219bobo3bo$459b3o216bobo3bo$674b2obobo3bo$674b2obo2b4obo5b2o
$473bo3b2o199bobo3bobo5bo$472bobo3bo195b2ob2o2bo2bobo2b3o$471bobo3bo
197bobo2b2o3bo3bo$467b2obobo3bo186b2o10bobo$467b2obo2b4obo5b2o177b2o
11bo$471bobo3bobo5bo$467b2ob2o2bo2bobo2b3o$468bobo2b2o3bo3bo$456b2o10b
obo$456b2o11bo!
Code: Select all
If N > 548 then there exists a gun of period N with minimum repeating population less than or equal to 216 cells.