Home  •  LifeWiki  •  Forums  •  Download Golly

## Execution of Old Guns by Variable-Speed Firing Squad

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

### Re: Execution of Old Guns by Variable-Speed Firing Squad

Scorbie wrote:I also said sth similar and here's the response I got.
viewtopic.php?f=2&t=1600&p=16520&hilit=bounding+box#p16527

simsim's response in the linked thread was:

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

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:

`x = 1166, y = 150, rule = B3/S23590bo11b2o\$589bobo10b2o\$581bo3b2o2bobo\$572b2o6bobo2bo2b2ob2o\$572b2o6bobo3bobo\$383bo11b2o184bob4o2bob2o\$382bobo10b2o186bo3bobob2o\$374bo3b2o2bobo197bo3bobo\$365b2o6bobo2bo2b2ob2o195bo3bobo\$365b2o6bobo3bobo199b2o3bo\$374bob4o2bob2o\$376bo3bobob2o\$375bo3bobo\$374bo3bobo213b2o\$374b2o3bo214b2o\$609b2o375b2o\$608bo2bo374b2o\$391b3o215b2obo529bo11b2o\$209bo183bo168b2o48bo528bobo10b2o\$209b3o179b3o168b2o48b2o519bo3b2o2bobo\$212bo189b2o193b2o525b2o6bobo2bo2b2ob2o\$29bo181b2o6bo181bo2bo193bo525b2o6bobo3bobo\$29b3o186bobo181b2obo189b3o189bo11b2o332bob4o2bob2o\$32bo186bo135b2o48bo177b2o10bo190bobo10b2o334bo3bobob2o\$31b2o6bo315b2o48b2o176bobo192bo3b2o2bobo345bo3bobo\$38bobo349b2o193bo183b2o6bobo2bo2b2ob2o181b2o160bo3bobo\$39bo166b2o183bo193b2o182b2o6bobo3bobo185b2o160b2o3bo\$206b2o6b2o172b3o387bob4o2bob2o\$214b2o160b2o10bo391bo3bobob2o\$26b2o348bobo400bo3bobo\$26b2o6b2o187b2o153bo399bo3bobo361b2o\$34b2o187b2o153b2o398b2o3bo167b2o11bo181b2o\$951b2o10bobo195b2o\$43b2o163b2o753bobo2b2o3bo186bo2bo\$43b2o162bobo585b3o164b2ob2o2bo2bobo186b2obo\$207bo589bo168bobo3bobo139b2o48bo\$28b2o176b2o587b3o164b2obo2b4obo17b2o121b2o48b2o\$27bobo776b2o154b2obobo3bo19bo157b2o\$27bo777bo2bo157bobo3bo19b3o155bo\$26b2o778b2obo157bobo3bo20bo152b3o\$578bo180b2o48bo158bo3b2o161b2o10bo\$579b2o178b2o48b2o324bobo\$578b2o214b2o341bo\$795bo158b3o180b2o\$792b3o159bo186b2o\$371bo408b2o10bo161b3o185bo\$372b2o406bobo161b2o196bobo\$371b2o409bo160bo2bo185bo10b2o\$782b2o158bob2o184b3o\$786b2o144b2o8bo186bo\$787bo137b2o5b2o7b2o186b2o\$787bobo135b2o29b2o32b2o122b2o48b2o\$777bo10b2o166bo33b2o123bo48b2o\$183b2o5b2o583b3o179b3o24b2o129bob2o\$184bo5b2o582bo152b2o24bo5bo24b2o130bo2bo\$184bobo76b2o509b2o151b2o24b3o161b2o\$3b2o5b2o173b2o76bo495b2o48b2o110b2o33bo170b3o\$4bo5b2o70b2o105b2o70bobo377b3o116bo48b2o110b2o32b2o29b2o139bo\$4bobo75bo105bobo28bo37b2o2b2o378bo118bob2o206b2o7b2o5b2o139b3o\$5b2o73bobo106bo29b3o35b2o383bo118bo2bo205bo8b2o\$9b2o27bo37b2o2b2o140bo539b2o203b2obo\$8bobo27b3o35b2o107b2o22bo11b2o11b2o536b3o191bo2bo171bo3b2o\$9bo31bo141bob2o20b3o24b2o198b3o335bo194b2o171bobo3bo\$5bo22bo11b2o11b2o127bo23bo227bo337b3o177b2o185bobo3bo\$4bobo19b3o24b2o130bo20b2o227bo516b2o181b2obobo3bo\$3bo3bo17bo155b2obo6b2o942b2obo2b4obo5b2o\$2bo3bo18b2o154b2o9bo593bo3b2o347bobo3bobo5bo\$bo3bo4b2o180bob2o589bobo3bo343b2ob2o2bo2bobo2b3o\$o3bo6bo181bo2bo587bobo3bo148b2o3bo191bobo2b2o3bo3bo\$bobo7bob2o179b2o9bo574b2obobo3bo149bo3bobo178b2o10bobo\$2bo9bo2bo190b2ob2o569b2obo2b4obo5b2o141bo3bobo177b2o11bo\$13b2o190b2o2b2o34b2o537bobo3bobo5bo142bo3bobob2o\$23b3o218bobo18b2o513b2ob2o2bo2bobo2b3o141bob4o2bob2o\$23bo40b2o178bo20bobo513bobo2b2o3bo3bo142bobo3bobo\$23b3o37bobo18b2o157b2o22bo501b2o10bobo154bobo2bo2b2ob2o\$63bo20bobo131bo3b2o43b2o500b2o11bo156bo3b2o2bobo\$62b2o22bo130bobo3bo723bobo10b2o\$37bo3b2o43b2o128bobo3bo725bo11b2o\$36bobo3bo169b2obobo3bo7b3o\$35bobo3bo170b2obo2b4obo\$31b2obobo3bo175bobo3bobo3bo3bo\$31b2obo2b4obo5b3o161b2ob2o2bo2bobo3bo3bo27b2obo661b2o\$35bobo3bobo5bo163bobo2b2o3bo36b2ob3o658bo2bo\$31b2ob2o2bo2bobo35b2obo118b2o10bobo12bo3bo33bo658b2o\$32bobo2b2o3bo5b3o28b2ob3o116b2o11bo12bob3obo26b2ob3o\$20b2o10bobo12bo3bo33bo141bo5bo27bobo\$20b2o11bo12bo5bo26b2ob3o141b2obobob2o26bobo\$46bobobobo27bobo142bo2b2ob2o2bo26bo\$45b2obobob2o26bobo142b2o7b2o\$44bo2b2ob2o2bo26bo\$44b2o7b2o362bo\$418bo\$416b3o15\$480b2o\$479b2o\$481bo9\$680b2o\$681bo\$681bobo\$671bo10b2o\$669b3o\$473b2o193bo\$474bo193b2o\$474bobo176b2o48b2o\$464bo10b2o177bo48b2o\$462b3o189bob2o\$461bo193bo2bo\$461b2o193b2o\$446b2o48b2o168b3o\$447bo48b2o168bo\$447bob2o215b3o\$448bo2bo\$449b2o\$459b3o218bo3b2o\$459bo219bobo3bo\$459b3o216bobo3bo\$674b2obobo3bo\$674b2obo2b4obo5b2o\$473bo3b2o199bobo3bobo5bo\$472bobo3bo195b2ob2o2bo2bobo2b3o\$471bobo3bo197bobo2b2o3bo3bo\$467b2obobo3bo186b2o10bobo\$467b2obo2b4obo5b2o177b2o11bo\$471bobo3bobo5bo\$467b2ob2o2bo2bobo2b3o\$468bobo2b2o3bo3bo\$456b2o10bobo\$456b2o11bo!`

The seven guns above have periods 16n, 16n + 8, 4n + 1, 8n + 2, 4n + 3, 8n + 4 and 8n + 6 respectively. From this you should be able to create any gun of sufficiently high period. The gun of highest population is the 16n+8 that has 216 cells. The gun of the highest period is the 8n + 4 that has period 556. So I think it is correct to say:

`If N > 548 then there exists a gun of period N with minimum repeating population less than or equal to 216 cells.`
chris_c

Posts: 851
Joined: June 28th, 2014, 7:15 am

### Re: Execution of Old Guns by Variable-Speed Firing Squad

dvgrn wrote:Okay, with everything under a 9000-cell bounding box now, the Hall of Shame no longer contains anything shameful as far as I'm concerned.

I wouldn't say shameful of course, but there are still a lot of easy targets in the high period range, like this new p827 which improves 30 different guns if I count correctly:

`x = 82, y = 71, rule = B3/S2338b2o3b2o\$17b2o3b2o14b2o2bob3o\$17b2o2bob3o16bo4bo\$21bo4bo11b4ob2o2bo\$17b4ob2o2bo11bo2bobobob2o\$17bo2bobobob2o13bobobobo\$20bobobobo15b2obobo\$21b2obobo19bo\$25bo\$32b2o\$11b2o20bo7b2o\$12bo7b2o11bobo5b2o\$12bobo5b2o12b2o\$13b2o6\$44b2o16bo\$23b2o19bo3bo13b3o\$23bo21b4o16bo\$4bo19b3o37bobo\$2b5o14b3o2bo20b4o13bobo\$bo5bo13bo2bo21bo3bo14bo\$bo2b3o12bobo2b2o20b2o\$2obo15b2o\$o2b4o\$b2o3bo3b2o42b2o\$3b3o4b2o43bo24b2o\$3bo51bob2o21b2o\$2obo43b2o4b3o2bo\$2ob2o42b2o3bo3b2o\$52b4o\$38b2o15bo4b2o\$11b2o24bobo12b3o4bobo\$12bo24bo13bo7bo\$9b3o24b2o14b5ob2o7b2o\$9bo46bobo8b2o\$52b2o2bobo\$52b2o3bo17b2obo\$75b2ob3o\$4bo76bo\$2b5o14b2o52b2ob3o\$bo5bo13bo2bo49bo2b2o\$bo2b3o12bobob2o48bobo\$2obo15b2obo32bo16bobob2obo\$o2b4o15bo32b3o15bo2bob2o\$b2o3bo3b2o10b3o33bo17bo\$3b3o4b2o13bo31b2o16b2o\$3bo20b2o46bobo2b2o\$2obo68b2o2bo2bo\$2ob2o72b2o3\$11b2o28b3o34b2o\$12bo28bo36bo\$9b3o22b2o6bo33bobo\$9bo17b2o5bobo39b2o\$27b2o7bo\$36b2o12b2o\$49bo\$23bo26bobo5b2o\$22bobob2o23bo6b2o\$22bobobobo29bo\$21b2obobobo2bo23b2o\$22bo2b2ob4o22bo2bo\$22bo4bo26bobo\$23b3obo2b2o23bo25bo\$25b2o3b2o30b2o15bobo\$62b2o16b2o!`

This includes the tentative guns p107, p125, p167, p175, p313, p321, p329 and p337, all of which work without adjustment as shown below:

`x = 987, y = 82, rule = B3/S23932b2o3b2o\$911b2o3b2o14b2o2bob3o\$784b2o3b2o15b2o3b2o98b2o2bob3o16bo4bo\$39b2o3b2o633b2o3b2o98b2o2bob3o13b2o2bob3o100bo4bo11b4ob2o2bo\$18b2o3b2o14b2o2bob3o610b2o3b2o14b2o2bob3o100bo4bo16bo4bo95b4ob2o2bo11bo2bobobob2o\$18b2o2bob3o16bo4bo482b2o3b2o15b2o3b2o98b2o2bob3o16bo4bo95b4ob2o2bo12b4ob2o2bo95bo2bobobob2o13bobobobo\$22bo4bo11b4ob2o2bo482b2o2bob3o13b2o2bob3o100bo4bo11b4ob2o2bo95bo2bobobob2o11bo2bobobob2o97bobobobo15b2obobo\$18b4ob2o2bo11bo2bobobob2o485bo4bo16bo4bo95b4ob2o2bo11bo2bobobob2o97bobobobo15bobobobo99b2obobo19bo\$18bo2bobobob2o13bobobobo482b4ob2o2bo12b4ob2o2bo95bo2bobobob2o13bobobobo99b2obobo16b2obobo103bo\$21bobobobo15b2obobo102b2o3b2o15b2o3b2o227b2o3b2o15b2o3b2o95bo2bobobob2o11bo2bobobob2o97bobobobo15b2obobo103bo21bo111b2o\$22b2obobo19bo103b2o2bob3o13b2o2bob3o225b2o2bob3o13b2o2bob3o96bobobobo15bobobobo99b2obobo19bo217b2o20bo7b2o\$26bo128bo4bo16bo4bo120b2o3b2o101bo4bo16bo4bo96b2obobo16b2obobo103bo111b2o20b2o104bo7b2o11bobo5b2o\$33b2o116b4ob2o2bo12b4ob2o2bo99b2o3b2o14b2o2bob3o95b4ob2o2bo12b4ob2o2bo100bo21bo111b2o104bo7b2o12bo7b2o95bobo5b2o12b2o\$12b2o7b3o10bo7b2o107bo2bobobob2o11bo2bobobob2o98b2o2bob3o16bo4bo94bo2bobobob2o11bo2bobobob2o212b2o20bo7b2o95bobo5b2o12bobo5b2o96b2o\$13bo6bo3bo9bobo5b2o110bobobobo15bobobobo103bo4bo11b4ob2o2bo97bobobobo15bobobobo86b2o20b2o104bo7b2o11bobo5b2o96b2o20b2o\$13bobo4bo3bo10b2o118b2obobo16b2obobo99b4ob2o2bo11bo2bobobob2o97b2obobo16b2obobo87bo7b2o12bo7b2o95bobo5b2o12b2o\$14b2o2b2o5b2o132bo21bo100bo2bobobob2o13bobobobo102bo21bo88bobo5b2o12bobo5b2o96b2o277b2o\$17bo4bo4bo257bobobobo15b2obobo214b2o20b2o381bobo\$17bo3bobo3bo13b2o102b2o20b2o117b2obobo19bo89b2o20b2o256b2o124b2o125bo\$17bo4bob2obo12bobo103bo7b2o12bo7b2o112bo111bo7b2o12bo7b2o246bobo123bobo129b2o\$18b3o21bo103bobo5b2o12bobo5b2o119b2o103bobo5b2o12bobo5b2o121b2o125bo125bo108b2o19bo\$147b2o20b2o105b2o20bo7b2o95b2o20b2o127bobo233b2o20b2o103bo21b3o\$45b2o230bo7b2o11bobo5b2o248bo128b2o103bo21bo85bo19b3o20bo\$24b2o19bo231bobo4bo2bo11b2o109b2o252b2o19bo85bo19b3o19b3o80b5o14b3o2bo\$24bo21b3o229b2o131b2o124b2o20b2o103bo21b3o80b5o14b3o2bo21bo79bo5bo13bo2bo\$5bo19b3o20bo238bo122bo126bo21bo85bo19b3o20bo79bo5bo13bo2bo103bo2b3o12bobo2b2o\$3b5o14b3o2bo157bobo99b2o229bo19b3o19b3o80b5o14b3o2bo100bo2b3o12bobo2b2o101b2obo15b2o\$2bo5bo13bo2bo160b2o98bo229b5o14b3o2bo21bo79bo5bo13bo2bo101b2obo15b2o106bo2b4o\$2bo2b3o12bobo2b2o130b2o20b2o5bo226b2o20b2o78bo5bo13bo2bo103bo2b3o12bobo2b2o100bo2b4o121b2o3bo3b2o\$b2obo15b2o135bo21bo233bo21bo79bo2b3o12bobo2b2o101b2obo15b2o106b2o3bo3b2o118b3o4b2o\$bo2b4o63bo66bo19b3o19b3o16bo109b2o16bo66bo19b3o19b3o16bo58b2obo15b2o48bo57bo2b4o63bo58b3o4b2o60bo57bo69bo\$2b2o3bo3b2o58b3o62b5o14b3o2bo21bo16b3o86b2o19bo3bo13b3o62b5o14b3o2bo21bo16b3o56bo2b4o62b3o56b2o3bo3b2o58b3o56bo68b3o52b2obo69b3o\$4b3o4b2o61bo60bo5bo13bo2bo43bo85bo21b4o16bo60bo5bo13bo2bo43bo56b2o3bo3b2o60bo57b3o4b2o61bo52b2obo71bo51b2ob2o71bo\$4bo53bo14bobo59bo2b3o12bobo2b2o26bo14bobo65bo19b3o37bobo59bo2b3o12bobo2b2o26bo14bobo57b3o4b2o44bo14bobo56bo53bo14bobo51b2ob2o54bo14bobo110bo14bobo\$b2obo51b3o14bobo58b2obo10bo4b2o18bo10b3o14bobo63b5o14b3o2bo20b4o13bobo58b2obo15b2o29b3o14bobo57bo50b3o14bobo53b2obo51b3o14bobo108b3o14bobo108b3o14bobo\$b2ob2o49bo10bobo5bo59bo2b4o4bob2o22bobo9bo18bo63bo5bo13bo2bo21bo3bo14bo59bo2b4o42bo18bo55b2obo49bo18bo54b2ob2o49bo18bo108bo18bo62b2o44bo18bo\$55b2o10b2o66b2o3bo3bo4bo22b2o9b2o81bo2b3o12bobo2b2o20b2o78b2o3bo3b2o37b2o73b2ob2o48b2o126b2o81b2o43b2o81bo44b2o\$67bo69b3o4bo120b2obo15b2o8bo98b3o4b2o16bo360bo123b3o\$12b2o123bo7bo119bo2b4o22b2o97bo24b2o232b2o122b3o124bo\$13bo10b2o37b2o69b2obo53b2o73b2o3bo3b2o16bobo23b2o69b2obo23bobo27b2o76b2o48b2o76bo49b2o71bo54b2o126b2o\$10b3o10b2o39bo24b2o43b2ob2o53bo24b2o49b3o4b2o43bo24b2o43b2ob2o53bo24b2o51bo49bo24b2o47b3o51bo24b2o86bobo12bo24b2o86bobo12bo24b2o\$10bo14bo38bob2o21b2o101bob2o21b2o49bo51bob2o8b3o10b2o101bob2o21b2o48b3o50bob2o21b2o47bo53bob2o21b2o87b2o12bob2o21b2o87b2o12bob2o21b2o\$51bobo2b2o4b3o2bo116b2o4b3o2bo69b2obo43b2o4b3o2bo8b3o105b2o4b3o2bo71bo39bobo2b2o4b3o2bo111bobo2b2o4b3o2bo110bo5b2o4b3o2bo110bo5b2o4b3o2bo\$52b2o2b2o3bo3b2o78b2o37b2o3bo3b2o70b2ob2o42b2o3bo3b2o8bo3bo65b2o37b2o3bo3b2o113b2o2b2o3bo3b2o113b2o2b2o3bo3b2o117b2o3bo3b2o62bo54b2o3bo3b2o\$52bo8b4o81bo8b3o31b4o124b4o10b2ob2o66bo42b4o12bo102bo8b4o115bo8b4o124b4o62b5o14b2o41b4o\$14b2o31b2o15bo4b2o72b3o11bo17b2o15bo4b2o7b3o94b2o15bo4b2o72b3o29b2o15bo4b2o5b3o96b2o15bo4b2o104b2o15bo4b2o60bo43b2o15bo4b2o55bo5bo13bo28b2o15bo4b2o\$4bo10b2o29bobo12b3o4bobo72bo12bo17bobo12b3o4bobo77b2o24bobo12b3o4bobo72bo30bobo12b3o4bobo5bob2o94bobo12b3o4bobo61bo41bobo12b3o4bobo58b5o14b2o24bobo12b3o4bobo55bo2b3o12bobo27bobo12b3o4bobo\$2b5o7bo6b2o23bo13bo7bo105bo13bo7bo8bobo69bo24bo13bo7bo105bo13bo7bo5b6o94bo13bo7bo61b5o14b2o23bo13bo7bo59bo5bo13bo25bo13bo7bo56b2obo15b2o28bo13bo7bo\$bo5bo13bo23b2o14b5ob2o104b2o14b5ob2o8bo68b3o24b2o14b5ob2o104b2o14b5ob2o6bo2bo55bo38b2o14b5ob2o7b2o51bo5bo13bo23b2o14b5ob2o7b2o50bo2b3o12bobo24b2o14b5ob2o7b2o47bo2b4o41b2o14b5ob2o7b2o\$bo2b3o12bobo43bobo8b3o114bobo8b2o68bo46bobo125bobo8b2o54b5o14b2o40bobo8b2o51bo2b3o12bobo43bobo8b2o49b2obo15b2o45bobo8b2o48b2o3bo3b2o56bobo8b2o\$2obo15b2o40b2o2bobo8b3o110b2o2bobo10bo110b2o2bobo121b2o2bobo63bo5bo13bo37b2o2bobo60b2obo15b2o40b2o2bobo59bo2b4o55b2o2bobo60b3o4b2o52b2o2bobo\$o2b4o54b2o3bo9b2o6b2obo101b2o3bo17b2obo101b2o3bo17b2obo101b2o3bo17b2obo43bo2b3o12bobo37b2o3bo17b2obo40bo2b4o54b2o3bo17b2obo40b2o3bo3b2o50b2o3bo17b2obo40bo60b2o3bo17b2obo\$b2o3bo3b2o63bo8b2ob3o48bo73b2ob3o122b2ob3o48bo73b2ob3o40b2obo15b2o61b2ob3o39b2o3bo3b2o72b2ob3o40b3o4b2o73b2ob3o35b2obo83b2ob3o\$3b3o4b2o61b2o2bo12bo45b5o14b2o61bo127bo45b5o14b2o61bo39bo2b4o81bo40b3o4b2o78bo39bo87bo34b2ob2o88bo\$3bo70bo3bo5b2ob3o45bo5bo13bo56b2ob3o50bo71b2ob3o45bo5bo13bo56b2ob3o41b2o3bo3b2o70b2ob3o41bo80b2ob3o37b2obo81b2ob3o122b2ob3o\$2obo70bo2bo5bo2b2o47bo2b3o12bobo55bo2b2o50b5o14b2o52bo2b2o47bo2b3o12bobo55bo2b2o45b3o4b2o69bo2b2o40b2obo79bo2b2o39b2ob2o79bo2b2o123bo2b2o\$2ob2o70b3o4bobo49b2obo15b2o55bobo52bo5bo13bo2bo49bobo49b2obo15b2o55bobo48bo76bobo43b2ob2o77bobo125bobo51b2o72bobo\$64bo16bobob2obo45bo2b4o51bo16bobob2obo48bo2b3o12bobob2o31bo16bobob2obo45bo2b4o51bo16bobob2obo41b2obo58bo16bobob2obo103bo16bobob2obo103bo16bobob2obo48bo54bo16bobob2obo\$64b3o15bo2bob2o46b2o3bo3b2o46b3o15bo2bob2o47b2obo15b2obo33b3o15bo2bob2o46b2o3bo3b2o24bo21b3o15bo2bob2o41b2ob2o57b3o15bo2bob2o103b3o15bo2bob2o49b2o52b3o15bo2bob2o45b3o55b3o15bo2bob2o\$11b2o17bo36bo17bo51b3o4b2o12bo36bo17bo50bo2b4o15bo36bo17bo51b3o4b2o12bo11bobo22bo17bo72bo36bo17bo53b2o17bo36bo17bo53bo18bo36bo17bo48bo23bo36bo17bo\$12bo17b3o33b2o16b2o51bo20b3o33b2o16b2o51b2o3bo3b2o10b3o7bo25b2o16b2o51bo20b3o9b2o22b2o16b2o72b3o33b2o16b2o54bo17b3o33b2o16b2o50b3o19b3o33b2o16b2o72b3o33b2o16b2o\$9b3o21bo47bobo2b2o46b2obo23bo47bobo2b2o51b3o4b2o13bo6bobo38bobo2b2o46b2obo23bo47bobo2b2o53b2o18bo47bobo2b2o49b3o21bo47bobo2b2o48bo24bo47bobo2b2o73bo47bobo2b2o\$9bo22b2o47b2o2bo2bo45b2ob2o21b2o47b2o2bo2bo50bo20b2o6b2o39b2o2bo2bo45b2ob2o21b2o47b2o2bo2bo53bo17b2o47b2o2bo2bo48bo22b2o47b2o2bo2bo71b2o47b2o2bo2bo71b2o47b2o2bo2bo\$86b2o126b2o48b2obo74b2o126b2o51b3o72b2o126b2o126b2o126b2o\$165bo98b2ob2o254bo\$34b2o109b2o16b2o236b2o\$34b2o14b3o34b2o57bo17b2o12b3o34b2o89b3o34b2o57bo31b3o34b2o89b3o34b2o89b3o34b2o89b3o34b2o89b3o34b2o\$34bobo13bo36bo55b3o32bo36bo59b2o29bo36bo55b3o32bo36bo90bo36bo90bo36bo90bo36bo90bo36bo\$35bo15bo33bobo55bo35bo33bobo60bo30bo33bobo55bo35bo33bobo91bo33bobo91bo33bobo91bo33bobo91bo33bobo\$35bo6b2o41b2o83b2o41b2o58b3o22b2o41b2o83b2o41b2o83b2o41b2o83b2o41b2o83b2o41b2o83b2o41b2o\$42bobo118b2o5bobo100bo17b2o5bobo118b2o5bobo118b2o5bobo118b2o5bobo118b2o5bobo118b2o5bobo\$44bo14b2o102b2o7bo14b2o102b2o7bo14b2o102b2o7bo14b2o102b2o7bo14b2o102b2o7bo14b2o102b2o7bo14b2o102b2o7bo14b2o\$44b2o12bo113b2o12bo113b2o12bo113b2o12bo113b2o12bo113b2o12bo113b2o12bo113b2o12bo\$59bobo5b2o118bobo5b2o118bobo5b2o118bobo5b2o118bobo5b2o118bobo5b2o118bobo5b2o118bobo5b2o\$31bo28bo6b2o90bo28bo6b2o90bo28bo6b2o90bo28bo6b2o90bo28bo6b2o90bo28bo6b2o90bo28bo6b2o90bo28bo6b2o\$30bobob2o31bo90bobob2o31bo90bobob2o31bo90bobob2o31bo90bobob2o31bo90bobob2o31bo90bobob2o31bo90bobob2o31bo\$30bobobobo27b2o92bobobobo27b2o92bobobobo27b2o92bobobobo27b2o92bobobobo27b2o92bobobobo27b2o92bobobobo27b2o92bobobobo27b2o\$29b2obobobo2bo23bo2bo90b2obobobo2bo23bo2bo90b2obobobo2bo23bo2bo90b2obobobo2bo23bo2bo90b2obobobo2bo23bo2bo90b2obobobo2bo23bo2bo90b2obobobo2bo23bo2bo90b2obobobo2bo23bo2bo\$30bo2b2ob4o23bobo92bo2b2ob4o23bobo92bo2b2ob4o23bobo92bo2b2ob4o23bobo92bo2b2ob4o23bobo92bo2b2ob4o23bobo92bo2b2ob4o23bobo92bo2b2ob4o23bobo\$30bo4bo28bo25bo67bo4bo28bo25bo67bo4bo28bo25bo67bo4bo28bo25bo67bo4bo28bo25bo67bo4bo28bo25bo67bo4bo28bo25bo67bo4bo28bo25bo\$31b3obo2b2o31b2o15bobo68b3obo2b2o31b2o15bobo68b3obo2b2o31b2o15bobo68b3obo2b2o31b2o15bobo68b3obo2b2o31b2o15bobo68b3obo2b2o31b2o15bobo68b3obo2b2o31b2o15bobo68b3obo2b2o31b2o15bobo\$33b2o3b2o31b2o16b2o70b2o3b2o31b2o16b2o70b2o3b2o31b2o16b2o70b2o3b2o31b2o16b2o70b2o3b2o31b2o16b2o70b2o3b2o31b2o16b2o70b2o3b2o31b2o16b2o70b2o3b2o31b2o16b2o!`
simeks

Posts: 354
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

### Re: Execution of Old Guns by Variable-Speed Firing Squad

simeks wrote:I wouldn't say shameful of course, but there are still a lot of easy targets in the high period range, like this new p827 which improves 30 different guns if I count correctly

Yep I agree: 30 new records for that gun. Very good. All of the sub-period guns you posted match the area predicted by my script which is nice and reassuring.
chris_c

Posts: 851
Joined: June 28th, 2014, 7:15 am

### Re: Execution of Old Guns by Variable-Speed Firing Squad

chris_c wrote:
`If N > 548 then there exists a gun of period N with minimum repeating population less than or equal to 216 cells.`

Ah, but what about the smaller periods? If the Herschels and syringes don't work there, what's the smallest population we can get for (say) the p17 gun?

Freywa

Posts: 274
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: Execution of Old Guns by Variable-Speed Firing Squad

Freywa wrote:Ah, but what about the smaller periods? If the Herschels and syringes don't work there, what's the smallest population we can get for (say) the p17 gun?

Herschels and syringes still work fine -- it's just that for the low periods, they work in basically the same way that the old pre-syringe and pre-Snark technology used to work. Still, the lower-period guns are definitely subject to upper limits.

The p17 gun, for example, is made up of eight p68 Herschel loops which contribute four LWSSes for the two final tight insertions at p68. An initial set of two bootstrapped p102 Herschel factories produce a pseudo-p34 glider stream: the first one contributes two gliders, and the second one fits the last glider in.

No doubt we can build a better pseudo p34 nowadays, so that's a place to start.

The transparent-beehive inserter can drop a glider in just 30 ticks behind another glider, and as close as 23 ticks ahead of the next glider, so it has no trouble thickening a p68 stream to make a p34 stream -- but we still need *WSS collisions to thicken p34 to get p17, let alone to thicken p28 to get the minimum p14.

To get a population estimate for a given period, just move all the insertion points for an existing low-period gun far away from each other so that no extra cells have to be used to fit the pieces together, and then substitute in the minimum-population syringe-assisted guns or Herschel factories in place of whatever was used in the old gun.

The old low-period guns could all have been rebuilt with lower population and higher bounding box, even without the new G-to-H... in fact, most of them could have been rebuilt with a smaller bounding box at any time, if someone had wanted to make the effort. So there are a lot of possibilities that would have to be re-checked now.

For example, is it better to start with a p85 two-glider gun now -- initial inserter plus a second output bent around to make p85 stream with gliders at 0 and 34, let's say? Then just three insertions would be needed. But all three would be expensive (LWSS+spark collisions) and we might even need some different technology to provide a p5 helper spark to make the LWSSes and to do the final insertion, instead of the p4 sparkers in the current p29 gun.

We still can't do the final insertions with a single set of p34 LWSS collisions instead of two sets of p68 collisions, for the same reason -- we need those p4 sparkers.

So quite likely starting out at p102 is still the way to go, but maybe p68 will now turn out to be cheaper overall. It's hard to tell without doing trial constructions of all the different options and seeing what problems show up.

On the other hand, it might possibly be cheaper now to borrow extra glider streams from somewhere and collide them with fancy eaters to make the necessary sparks. Then possibly we could start with a p51 stream and make two insertions, since Snarks can reflect p51 streams with no problem.

Way too many options. Will need a new kind of specialist to keep track of them all...!

dvgrn
Moderator

Posts: 4906
Joined: May 17th, 2009, 11:00 pm

### Re: Execution of Old Guns by Variable-Speed Firing Squad

dvgrn wrote:Way too many options.

I agree with that. A nice plan of attack for the p17 has been eluding me for days. In the end I managed to make a pretty reasonable p85 LWSS gun. It uses a H->pre-block component that I made myself. I don't know if it was known before. I think that six of these guns should be better than eight of those p68 Herschel loop guns, especially because the components in this gun are a lot more flexible.

`x = 166, y = 88, rule = B3/S2328bo11b2o116b3o\$27bobo10b2o116bo2bo\$19bo3b2o2bobo128bo\$10b2o6bobo2bo2b2ob2o127bo\$10b2o6bobo3bobo132bobo\$19bob4o2bob2o\$21bo3bobo\$20bo3bobo2bo2bo\$19bo3bobo6bo\$19b2o3bo5bo74b2o\$30b2o3bo69bobo\$32bo74bo4b2o\$32b2ob2o66b4ob2o2bo2bo\$9b3o91bo2bobobobob2o\$8bo2bo94bobobobo\$11bo35b2o58b2obobo\$7bo38bo2bo61bo\$7bo2bo36b2obo\$2o5b3o40bo46b2o\$2o4b2o6b2o34b2o46bo\$7b2obo3b3o18b2o61bobo\$8b3o25bo62b2o\$9bo23b3o70b3o\$21b2o10bo72bobo\$21bobo22b3o57bo2bo\$23bo22bo60b2o\$23b2o22bo2\$109b2o\$109bo\$110b3o\$112bo7\$79b2o\$80bo49bo\$78bo49bobo\$78b5o6b3o5b2o30b2o\$83bo4bo8bo61bo\$80b3o5bo2bo3bobo60b3o\$79bo6b2o3bo3b2o61bob2o\$79b4o2bo4bo68b3o\$23bo22b2o29b2o3bo2bo3bobo67b2o\$24bo22bo28bo2b3o3bo4bo\$22b3o22bobo26b2obo6b2o4bo\$37bo10b2o29bo8bo3bo\$35b3o23bo17b2o7bo3bo\$34bo25b3o26b3o\$34b2o18b3o3bob2o\$19b2o34b2o6b2o4b2o16b2o\$20bo40b3o5b2o17bo\$20bob2o36bo2bo21b3o\$21bo2bo38bo21bo\$22b2o35bo\$59bo2bo\$59b3o\$34b2ob2o111bo\$38bo45bo42bo23b2o\$35bo3b2o43b3o20b2o16b3o13bo8b2o\$40bo5bo3b2o35bo18b2o16bo16b3o\$38bo6bobo3bo22bo11b2o11b2o7bo15b2o18bo\$38bo2bo2bobo3bo21b3o16bo7b2o42b2o\$43bobo3bo21bo17b4o\$40b2obo2b4obo5b2o12b2o15b2o3b2o26b2o\$44bobo3bobo5bo32bo3bo21bo4b2o\$40b2ob2o2bo2bobo2b3o33bo3bo22b2o3b2o26b2o\$41bobo2b2o3bo3bo2b3o30bo2b2o21b2o3b2o26b4o\$29b2o10bobo14bo2bo27bo3bo23bo4bo27bob3o\$29b2o11bo16b2o24bo47b2o14bob3o\$63b2o2b2o14b2o48b2o15b3o\$62b3o2b3o14b2o24b2o38b2o\$63b2obo3bo38bobo\$66b5obo36bo52bob2o\$66bo5bo35b2o10b2o40b2obo\$66bo2b2obo10bo3b2o32bo\$67bo4bo9bobo3bo29b3o9b2o\$71b2o8bobo3bo12b2o16bo11bo19b2o\$67b3obo5b2obobo3bo13bobo28bo17bobo\$67bo9b2obo2b4obo13bo27b2o17bo7b2o\$68b2o11bobo3bobo12b2o44b2o7bo\$77b2ob2o2bo2bobo68b3o\$78bobo2b2o3bo71bo\$66b2o10bobo\$66b2o11bo!`

Also with an eye on the p19 I made a p95 LWSS gun. It uses the more common H->pre-block conduit (at least I think it is correct to call it more common).

`x = 169, y = 90, rule = B3/S2339b2o122b3o\$38bobo122bo2bo\$32b2o4bo124bo\$30bo2bo2b2ob4o120bo\$30b2obobobobo2bo121bobo\$33bobobobo\$33bobob2o66b2o\$34bo70bobo\$107bo4b2o\$47b2o54b4ob2o2bo2bo\$47bo55bo2bobobobob2o\$45bobo58bobobobo\$38bo6b2o60b2obobo\$36b2ob2o70bo\$36b2ob2o\$36bo2b2o56b2o\$37b2o59bo7b2o\$98bobo5b2o\$99b2o\$35b2o\$36bo\$33b3o69bo\$9bo23bo71b2o\$9b3o92bobo\$12bo\$11b2o96b2o\$109bo\$110b3o\$3b2o107bo\$3bo\$2obo\$o2b3o8bo\$b2o3bo5b2ob2o\$3b4o7b3o\$3bo15b2o107bo\$4b3o12bobo36b3o68bo\$7bo13bo36bo19b2o47b3o\$2b5o14b2o36bo19bo\$2bo74bo\$4bo72b5o14b2o\$3b2o77bo13bo\$79b3o12bobo\$78bo15b2o\$62bobo13b4o\$61bo2b2o10b2o3bo3b2o3b2o\$66bo8bo2b3o4b2o3bobo\$69bo5b2obo11bo\$60bo9bo7bo85bo\$49b2o10b2o7bo7b2o83b3o\$50bo18bo92b2obo\$50bobo16bo92b3o\$40bo10b2o11bo2bo18b2o75b2o\$38b3o24b2o20bo\$37bo46b3o\$37b2o45bo\$22b2o48b2o\$23bo8bobo37b2o\$23bob2o6b2o26bo\$24bo2bo5bo14b2o11bobo87bo\$25b2o20b3ob2o10bo88b2o\$40b2o6b2ob3o97b2o\$40b2o5b3ob2o\$47b2o\$87bo42bo\$87b3o38b3o13bo\$49bo3b2o35bo36bo16b3o\$48bobo3bo22bo11b2o11b2o23b2o18bo\$47bobo3bo21b3o24b2o42b2o\$43b2obobo3bo21bo39bo\$43b2obo2b4obo5b2o12b2o36b2ob2o\$47bobo3bobo5bo53b5o\$43b2ob2o2bo2bobo2b3o55bo2bo29bobo\$44bobo2b2o3bo3bo2b3o8bo43bo2bo33bobo\$32b2o10bobo14bo2bo5bobo15b2o27b2o36bo\$32b2o11bo16b2o7b2o14b2ob2o44b2o11bo3bobo\$77b2o8b2ob2o44b2o11bob2o\$77b2o10b3o21b2o\$112bobo52b2o\$112bo54b2o\$111b2o10b2o\$86bo3b2o32bo\$85bobo3bo29b3o9b2o\$84bobo3bo12b2o16bo11bo19b2o\$80b2obobo3bo13bobo28bo17bobo\$80b2obo2b4obo13bo27b2o17bo\$84bobo3bobo12b2o44b2o\$80b2ob2o2bo2bobo\$81bobo2b2o3bo\$69b2o10bobo\$69b2o11bo!`

Finally, I note that p5 LWSS->G inserters already exist. The left one below is from the p14 gun and the one on the right is from the p19 gun and only works for p19 or higher:

`x = 66, y = 31, rule = B3/S2313bobo37bobo\$12bo39bo\$12bo39bo\$12bo2bo36bo2bo\$12b3o37b3o4\$18b2ob2o35b2ob2o\$17bo39bo\$18bobo2bo34bobo2bo\$20bo4bo14b2o18bo4bo\$19b2ob4o14bobo16b2ob4o\$21bo20bo18bo\$2b2o17bobo14b4ob2o16bobo\$2ob2o17b2o14bo2bobo18b2o\$4o37bo2bo\$b2o39b4o\$42bo3\$8b7o34b3o\$6b3ob3ob3o32bo2bo\$5bo4b3o4bo31bo\$6b4obob3obo31bo\$16bo33bobo\$5bob2obobobo\$5b2obobobob2o\$9bo2bobo\$10b2o2bo\$14b2o!`

So I think the road is open to better p17 and p19 guns but I don't particularly feel like completing the job at the moment.
chris_c

Posts: 851
Joined: June 28th, 2014, 7:15 am

### Re: Execution of Old Guns by Variable-Speed Firing Squad

Unrelated to new circuitry, I trimmed down the Pi-catchers for the p45 gun with Bellman.

`x = 48, y = 40, rule = B3/S2315bo2bo2bo\$15b7o2\$15b7o\$15bo2bo2bo6\$16bo2bo\$12b2o2bo2bo\$12b2o2bo2bo7b2o\$27b2o4b2o3bo2bo3b2o\$33b5o4b5o\$33b2o3bo2bo3b2o\$27b3o2\$2ob2o\$bobo23b3o\$bobo6b3o\$2ob2o29bobo\$bobo31b2o\$bobo6b3o22bo\$2ob2o2\$11b2o\$11b2o7bo2bo2b2o\$20bo2bo2b2o\$20bo2bo3\$47bo\$45bobo\$46b2o\$18bo2bo2bo\$18b7o2\$18b7o\$18bo2bo2bo!`
Tanner Jacobi

Kazyan

Posts: 763
Joined: February 6th, 2014, 11:02 pm

### Re: Execution of Old Guns by Variable-Speed Firing Squad

This family of guns improve about 44 different periods, 9 of which are on the Hall of Shame.

I've tested all tentative guns, and all work except p103, p107 and p111. The signal crossing that causes those to fail isn't adjustable so they can't be fixed.

The tentative guns I've tested are: p206, p214, p222, p309, p313, p317, p321, p325, p329, p333, p337, p341, p405, p413, p421, p429, p437, p445, p453, p461, p469, p477, p493, p501, p509 and p517.

p618:

`x = 92, y = 64, rule = B3/S2365b2o3b2o\$63b3obo2b2o\$62bo4bo\$35b2o3b2o20bo2b2ob4o\$35b2o2bob3o17b2obobobo2bo\$39bo4bo17bobobobo\$35b4ob2o2bo17bobob2o\$35bo2bobobob2o17bo\$38bobobobo\$39b2obobo31b2o\$43bo23b2o7bo\$67b2o5bobo\$29b2o43b2o\$30bo7b2o\$30bobo5b2o\$31b2o4\$64b2o\$65bo\$62b3o\$15b2o24b2o19bo\$8b2o5b2o24bo\$8b2o32b3o42bo\$44bo24b2o14b5o\$29b2o36bo2bo13bo5bo\$10b2o16bobo5bo30b2obobo12b3o2bo\$10b2o18bo5b3o30bob2o15bob2o\$4b2o33bo29bo15b4o2bo\$4b2o32b2o12bo14b3o10b2o3bo3b2o\$51bobo12bo13b2o4b3o\$51bobo12b2o20bo\$50b2ob2o33bob2o\$49bo2bo2bo31b2ob2o\$50b2o2b2o\$35b2o\$35b2o42b2o\$79bo\$56b2o22b3o\$55bobo5b2o17bo\$22b2o3bo27bo7b2o\$bo20bo3bobo25b2o\$b3o19bo3bobo\$4bo19bo3bobob2o34bo\$3b2o17bob4o2bob2o30b2obobo\$21bobo3bobo33bobobobo\$21bo2bo4bob2obob2o22bo2bobobob2o\$22b2o5bo2bob2obo22b4ob2o2bo\$30b2o11b2o19bo4bo\$25bo17b2o15b2o2bob3o\$23b3o34b2o3b2o\$22bo\$22b2o3\$2o\$2o4\$17bo8bo\$9b2o5bobo8bo\$9b2o6bo7b3o!`

p802:

`x = 114, y = 61, rule = B3/S2335b2o3b2o20b2o3b2o\$35b2o2bob3o16b3obo2b2o\$39bo4bo14bo4bo\$35b4ob2o2bo14bo2b2ob4o13b2o3b2o\$35bo2bobobob2o12b2obobobo2bo13b2o2bob3o\$38bobobobo14bobobobo20bo4bo\$39b2obobo14bobob2o17b4ob2o2bo\$43bo16bo21bo2bobobob2o\$85bobobobo\$29b2o42b2o11b2obobo\$30bo7b2o24b2o7bo16bo\$30bobo5b2o24b2o5bobo\$31b2o38b2o3b2o\$77bo7b2o\$77bobo5b2o17bo\$78b2o22b3o\$101bo\$101b2o2\$15b2o24b2o18b2o\$8b2o5b2o24bo20bo46b2ob2o\$8b2o32b3o14b3o48bob2o\$44bo14bo28b2o20bo\$29b2o57bo13b2o4b3o\$10b2o16bobo5bo52b3o10b2o3bo3b2o\$10b2o18bo5b3o52bo15b4o2bo\$4b2o33bo29bo21bob2o15bob2o\$4b2o32b2o12bo14b3o19b2obobo12b3o2bo\$51bobo12bo21bo3bo13bo5bo\$51bobo12b2o19bo2b3o14b5o\$50b2ob2o32b3o19bo\$49bo2bo2bo34bo\$50b2o2b2o33b2o\$35b2o\$35b2o2\$56b2o\$55bobo5b2o\$22b2o3bo27bo7b2o\$bo20bo3bobo25b2o43b2o\$b3o19bo3bobo62b2o5bobo\$4bo19bo3bobob2o34bo23b2o7bo\$3b2o17bob4o2bob2o30b2obobo31b2o\$21bobo3bobo33bobobobo\$21bo2bo4bob2obob2o22bo2bobobob2o17bo\$22b2o5bo2bob2obo22b4ob2o2bo17bobob2o\$30b2o11b2o19bo4bo17bobobobo\$25bo17b2o15b2o2bob3o17b2obobobo2bo\$23b3o34b2o3b2o20bo2b2ob4o\$22bo64bo4bo\$22b2o64b3obo2b2o\$90b2o3b2o2\$2o\$2o4\$17bo8bo\$9b2o5bobo8bo\$9b2o6bo7b3o!`

p1002:

`x = 138, y = 61, rule = B3/S2335b2o3b2o20b2o3b2o\$35b2o2bob3o16b3obo2b2o\$39bo4bo14bo4bo\$35b4ob2o2bo14bo2b2ob4o\$35bo2bobobob2o12b2obobobo2bo\$38bobobobo14bobobobo\$39b2obobo14bobob2o\$43bo16bo50b2o3b2o\$109b3obo2b2o\$29b2o42b2o5b2o3b2o21bo4bo\$30bo7b2o24b2o7bo6b2o2bob3o19bo2b2ob4o\$30bobo5b2o24b2o5bobo10bo4bo17b2obobobo2bo\$31b2o38b2o7b4ob2o2bo18bobobobo\$80bo2bobobob2o17bobob2o\$83bobobobo19bo\$84b2obobo\$88bo33b2o\$113b2o7bo\$74b2o37b2o5bobo\$15b2o24b2o18b2o12bo7b2o35b2o\$8b2o5b2o24bo20bo12bobo5b2o\$8b2o32b3o14b3o14b2o\$44bo14bo\$29b2o\$10b2o16bobo5bo\$10b2o18bo5b3o\$4b2o33bo70b2o\$4b2o32b2o12bo58bo\$51bobo17bo14b2o20b3o\$51bobo15b3o14bo21bo\$50b2ob2o13bo18b3o\$49bo2bo2bo12b2o20bo42bo\$50b2o2b2o33b2o24b2o14b5o\$35b2o76bo2bo13bo5bo\$35b2o76b2obobo12b3o2bo\$115bob2o15bob2o\$115bo15b4o2bo\$113b3o10b2o3bo3b2o\$22b2o3bo30b2o52bo13b2o4b3o\$bo20bo3bobo28bobo5b2o32b2o11b2o20bo\$b3o19bo3bobo27bo7b2o25b2o5bobo32bob2o\$4bo19bo3bobob2o22b2o34b2o7bo31b2ob2o\$3b2o17bob4o2bob2o67b2o\$21bobo3bobo40bo\$21bo2bo4bob2obob2o28b2obobo16bo36b2o\$22b2o5bo2bob2obo27bobobobo15bobob2o32bo\$30b2o11b2o17bo2bobobob2o14bobobobo8b2o22b3o\$25bo17b2o17b4ob2o2bo14b2obobobo2bo4bobo5b2o17bo\$23b3o40bo4bo15bo2b2ob4o4bo7b2o\$22bo39b2o2bob3o16bo4bo7b2o\$22b2o38b2o3b2o19b3obo2b2o\$90b2o3b2o17bo\$110b2obobo\$2o107bobobobo\$2o104bo2bobobob2o\$106b4ob2o2bo\$110bo4bo\$106b2o2bob3o\$17bo8bo79b2o3b2o\$9b2o5bobo8bo\$9b2o6bo7b3o!`
simeks

Posts: 354
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

### Re: Execution of Old Guns by Variable-Speed Firing Squad

simeks wrote:This family of guns improve about 44 different periods, 9 of which are on the Hall of Shame.

Nice! Looks like that hive-with-tail variant has already been used where it's needed in the variable gun collection. The same replacement almost allows shrinking p556 to p548, but I don't think there's a workable weld for the central eaters. With just one more lane it would work fine...

The p1002+8N family posted above is really p986+8N:

`x = 136, y = 61, rule = B3/S2335b2o3b2o20b2o3b2o\$35b2o2bob3o16b3obo2b2o\$39bo4bo14bo4bo\$35b4ob2o2bo14bo2b2ob4o\$35bo2bobobob2o12b2obobobo2bo\$38bobobobo14bobobobo43b2o3b2o\$39b2obobo14bobob2o42b3obo2b2o\$43bo16bo17b2o3b2o21bo4bo\$78b2o2bob3o19bo2b2ob4o\$29b2o42b2o7bo4bo17b2obobobo2bo\$30bo7b2o24b2o7bo4b4ob2o2bo18bobobobo\$30bobo5b2o24b2o5bobo4bo2bobobob2o17bobob2o\$31b2o38b2o8bobobobo19bo\$82b2obobo\$86bo33b2o\$111b2o7bo\$72b2o37b2o5bobo\$73bo7b2o35b2o\$73bobo5b2o\$15b2o24b2o18b2o11b2o\$8b2o5b2o24bo20bo\$8b2o32b3o14b3o\$44bo14bo\$29b2o\$10b2o16bobo5bo71b2o\$10b2o18bo5b3o70bo\$4b2o33bo29bo14b2o20b3o\$4b2o32b2o12bo14b3o14bo21bo\$51bobo12bo18b3o\$51bobo12b2o20bo42bo\$50b2ob2o32b2o24b2o14b5o\$49bo2bo2bo55bo2bo13bo5bo\$50b2o2b2o55b2obobo12b3o2bo\$35b2o76bob2o15bob2o\$35b2o76bo15b4o2bo\$111b3o10b2o3bo3b2o\$56b2o52bo13b2o4b3o\$55bobo5b2o32b2o11b2o20bo\$22b2o3bo27bo7b2o25b2o5bobo32bob2o\$bo20bo3bobo25b2o34b2o7bo31b2ob2o\$b3o19bo3bobo69b2o\$4bo19bo3bobob2o34bo\$3b2o17bob4o2bob2o30b2obobo16bo36b2o\$21bobo3bobo33bobobobo15bobob2o32bo\$21bo2bo4bob2obob2o22bo2bobobob2o14bobobobo8b2o22b3o\$22b2o5bo2bob2obo22b4ob2o2bo14b2obobobo2bo4bobo5b2o17bo\$30b2o11b2o19bo4bo15bo2b2ob4o4bo7b2o\$25bo17b2o15b2o2bob3o16bo4bo7b2o\$23b3o34b2o3b2o19b3obo2b2o\$22bo65b2o3b2o17bo\$22b2o84b2obobo\$107bobobobo\$104bo2bobobob2o\$2o102b4ob2o2bo\$2o106bo4bo\$104b2o2bob3o\$104b2o3b2o2\$17bo8bo\$9b2o5bobo8bo\$9b2o6bo7b3o!#C [[ AUTOSTART STEP 8 ZOOM 3 LOOP 9860 ]]`

dvgrn
Moderator

Posts: 4906
Joined: May 17th, 2009, 11:00 pm

### Re: Execution of Old Guns by Variable-Speed Firing Squad

dvgrn wrote:The p1002+8N family posted above is really p986+8N:

Right! Don't know how I missed that...
EDIT: I meant to say also, that I've verified that p493 still works now that it moves from p802+8n to p986+8n.

Also, the H-to-G reported here (third code field) makes a mod 5-gun at p581+8n that improves all guns in the range p581 to p653 (the sub-period guns don't seem to improve anything):

`x = 86, y = 79, rule = B3/S2317bo11bo\$17b3o7b3o\$20bo5bo\$19b2o5b2o15bo\$41b3o\$40bo\$40b2o3\$39b2o\$39b2o\$15b2o\$14bobo\$14bo\$13b2o2\$54bo11b2o\$9bo43bobo10b2o\$9b3o33bo3b2o2bobo\$12bo31bobo2bo2b2ob2o\$11b2o31bobo3bobo\$26b2o17bob4o2bob2o\$27bo19bo3bobob2o\$2ob2o19b3o19bo3bobo\$2obo20bo20bo3bobo\$3bo41b2o3bo\$3b3o4b2o\$b2o3bo3b2o\$o2b4o\$2obo15b2o37b2o\$bo2b3o12bobo36b2o\$bo5bo13bo51b2o\$2b5o14b2o49bo2bo\$4bo68b2obo\$76bo\$76b2o\$27b2o32b2o\$27b2o33bo\$33b2o24b3o19bo\$33b2o24bo2b3o14b5o\$61bo2bo13bo5bo\$60b2o2bobo12b3o2bo\$31b2o32b2o15bob2o\$31b2o5b2o39b4o2bo\$38b2o34b2o3bo3b2o\$74b2o4b3o\$82bo\$82bob2o\$81b2ob2o3\$33bo39b2o\$34b2o37bo\$33b2o39b3o\$76bo2\$50bo\$48b3o\$47bo\$47b2o7\$37b2o\$36bobo5b2o\$36bo7b2o\$35b2o\$85bo\$49bo33bobo\$45b2obobo33b2o\$44bobobobo\$41bo2bobobob2o\$41b4ob2o2bo\$45bo4bo\$41b2o2bob3o\$41b2o3b2o!`
simeks

Posts: 354
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

### Re: Execution of Old Guns by Variable-Speed Firing Squad

Thanks! I added the p581, p618, p802 and p986. I confirmed all of the tentative guns that improved the Hall of Shame but not the rest.

Here are the latest lists:

`*******************************Hall of Shame (p78 or greater)*******************************997 (8840, 'p00973_3')               (5 mod 8)989 (8755, 'p00973_2')               (5 mod 8)965 (8732, 'p00901_8')               (5 mod 8)533 (8692, 'fixed')                  (5 mod 8)543 (8680, 'p00958_16_p00543')       (7 mod 8)957 (8673, 'p00901_7')               (5 mod 8)981 (8670, 'p00973_1')               (5 mod 8)517 (8662, 'p00986_6_p00517')        (5 mod 8)961 (8652, 'p00921_5')               (1 mod 8)999 (8648, 'p00879_15')              (7 mod 8)949 (8614, 'p00901_6')               (5 mod 8)973 (8585, 'p00973_0')               (5 mod 8)953 (8568, 'p00921_4')               (1 mod 8)941 (8555, 'p00901_5')               (5 mod 8)991 (8554, 'p00879_14')              (7 mod 8)893 (8550, 'p00853_5')               (5 mod 8)509 (8540, 'p00986_4_p00509')        (5 mod 8)845 (8540, 'p00717_16')              (5 mod 8)525 (8505, 'fixed')                  (5 mod 8)933 (8496, 'p00901_4')               (5 mod 8)`

`*******************************Hall of Pain (p39 to p77)*******************************59 1632441 1580858 1424562 1414154 1377051 1356643 1306542 1297157 1201773 1174571 1138539 1125253 1060256 1033261 1033276 1004455 917649 916965 897663 8436`

`*******************************Hall of the Insane (p14 to p38)*******************************17 14363714 12974519 10695921 6757516 3999927 3654028 3001629 2354831 2295218 2275034 2210035 2136026 2040038 1949132 1722633 1600625 1576237 1525715 400420 3080`

In other news...

Improved p29:

`x = 203, y = 116, rule = B3/S23136b2o\$136bobo\$138bo\$134b4ob2o\$134bo2bobobo\$139bobo\$139bo2b2o\$130b2o6b2o4bo\$123b2o5b2o8b5o\$124bo15bo4b2o\$118bo5bobo9bo6b2o2bo\$97b2o19b3o4b2o9bo7bob2o\$96bobo22bo8bo4b2o7bo\$96bo23b2o8bo12b2o12b2o\$41bo11b2o39b2ob4o29b2o2b2o2b3o16bobo\$40bobo10b2o38bobobo2bo22bo35bo4b2o\$32bo3b2o2bobo50bobo26bobob3o2b2o2b2o18b4ob2o2bo2bo\$31bobo2bo2b2ob2o47b2o2bo22b2o2b2o12bo18bo2bobobobob2o\$17b2o12bobo3bobo50bo4b2o21b2o10b2o5bo20bobobobo\$18bo13bob4o2bob2o46b5o6b2o26bobo5bo21b2obobo\$18bobo13bo3bobob2o44b2o4bo12bo24bo3bobo24bo\$19b2o12bo3bobo47bo2b2o6bo7bobo20bo2bo4bo\$32bo3bobo48b2obo6b2o8bo22b2o17b2o\$32b2o3bo52bo7bo51bo7b2o\$5b2o83b2o58bobo5b2o\$5b2o144b2o\$41b4o\$40b2o2bo49b2o4bo7b2o4b2o\$39b2o2bo50b2o3b2o7b2o5b2o50bo\$40bo2bo16b2o38bo13bo53bo\$41b2o16bo2bo103b3o\$2o58b2obo\$2o51b3o7bo33b2o62b2o\$13bo39bo9b2o33bo36bobo23bo\$11b2o35b2o4bo40b3o5bo32b2o24b3o\$10b2o37bo45bo6bobo31bo27bo\$9bo11bo24b3o36b2o16b2o\$10b5o5b2o11b2o11bo38bo13b2o\$11bo21bo49bobo12bobo\$34b3o46b2o13bo5b2o40bo\$36bo60b2o5b2o40b2o45bo\$145bobo43b3o\$42bo49bo42bo54bo\$42b3o47b3o38b3o54b2o\$45bo21bo27bo36bo\$32bo11b2o11b2o5b5o25b2o11b2o8bo14b2o\$30b3o24bo11bo37b2o7b2o80b2o\$29bo37b2o47b3o80bo\$24bo4b2o35b2o50bo2bobo75bob2o\$14b2o9bo39bo52b2obobo67b2o4b3o2bo\$15bo7b3o95b3o63b6o3bo3b2o\$15bob2o74b2o50b3o39bo2bo5b4o\$16bo2bo16b2o55b3o48bo2bo34b2o3bobo9bo\$17b2o16bo2bo53bob3o37bo9bo3bo32bobo12b3o\$35bo2b2o42b2o9bob3o34b2o2bo6b2o13bo22bo13bo\$34bo2b2o30b2o11b2o9b4o22b2o11b2ob2o6b3o13bo20b2o14b5o\$34b4o32bo23b2o24bo36b3o40bo\$67b3o47b3o6bob2o3bo13b2o49bo\$67bo49bo6b3ob2o5bo11bo50b2o\$41bo3b2o76bo24b3o\$40bobo3bo39b2o36b3ob2o20bo\$39bobo3bo12b2o18b2o7bo3bo16b2o16bobo\$35b2obobo3bo13bobo17b2o4b3o3bobo15bobo15bobo4b2o29bobo\$35b2obo2b4obo13bo23bo5bobo2b2o3bo9bo16bo6bo30b2o\$39bobo3bobo12b2o27b2ob2o2bo2bobo8b2o19b3o31bo\$35b2ob2o2bo2bobo45bobo3bobo12b2o15bo\$36bobo2b2o3bo42b2obo2b4obo13bo23bo\$24b2o10bobo50b2obobo3bo13bobo23b3o\$24b2o11bo55bobo3bo12b2o27bo\$94bobo3bo39b2o\$95bo3b2o\$121bo42bo6bo\$121b3o38b3o6bobo\$96bo27bo36bo9b2o\$67b2o17b2o5b5o25b2o11b2o8bo14b2o5b2o\$67b2o17bo11bo37b2o7b2o20bo2bo\$71b2o7b2o14b2o47b3o20bobo8bo\$70bo2bo5bobo13b2o50bo2bobo16bo10b2o\$69bob2o8bo12bo52b2obobo26b2o\$69bo80b3o\$68b2o52b2o50b3o\$83b2o37b3o48bo2bo\$83bo37bob3o37bo9bo3bo\$84b3o24b2o9bob3o34b2o2bo6b2o13bo\$86bo11b2o11b2o9b4o22b2o11b2ob2o6b3o13bo\$99bo23b2o24bo36b3o\$96b3o47b3o6bob2o3bo13b2o\$96bo49bo6b3ob2o5bo11bo\$152bo24b3o\$90bo62b3ob2o20bo\$88b3o46b2o16bobo\$62b2o23bo49bobo15bobo4b2o29bobo\$61b4o9b2o11b2o11bo38bo16bo6bo30b2o\$60b3obo9b2o24b3o36b2o19b3o31bo\$61b3obo37bo56bo\$62b3o37b2o\$63b2o52b2o\$54b2o61bo\$54b2o36bo12bo8b2obo84bo\$90b2o13bobo5bo2bo83bobo\$89b2o14b2o7b2o85b2o\$88bo11bo\$89b5o5b2o\$90bo\$59b2o\$59b2o\$86b2o3bo\$86bo3bobo\$73b2o12bo3bobo\$72bobo13bo3bobob2o\$72bo13bob4o2bob2o\$71b2o12bobo3bobo\$85bobo2bo2b2ob2o\$86bo3b2o2bobo\$94bobo10b2o\$95bo11b2o!`

Improved p34:

`x = 260, y = 85, rule = B3/S23217bo11b2o\$216bobo10b2o\$208bo3b2o2bobo\$207bobo2bo2b2ob2o\$153b2o52bobo3bobo13bo\$146b2o5b2o39bo9bo3bob4o2bob2o8b3o\$146b2o46b3o5b3o5bo3bobob2o7bo2bo\$182b2o13bo3bo7bo3bobo\$182bo13b2o3b2o5bo3bobo9b2obo\$148b2o33bo24b2o3bo9bo3b2ob3o\$148b2o32b2o14b3o21bo4b2o2b2o\$142b2o54bo2bo21bob2o2bo2bo\$142b2o53bo3bo27bo2bobo\$197bobob2o23b6o2bo\$122b2o74b2ob2o24b2o5bobo\$121bobo75b3o34bo\$115b2o4bo42b2obo11b2o54bo2bo\$113bo2bo2b2ob4o35bobo3bo11b2o16bo38b2obo\$113b2obobobobo2bo35bo33b2obo40bo\$116bobobobo38bobo33b3o39b2o\$116bobob2o43bobo56b2o\$117bo81b2o24bo\$153bo68b3o\$130b2o21b3ob2ob2o48b2o10bo\$121b2o7bo21bob3obobobo27bo6b2o11bobo\$121b2o5bobo8b2o16bo2bobo25b3o6b2o13bo\$128b2o10bo19bob2o23bo24b2o\$140bobo16b2o3bo22b2o\$64bo11b2o22bo40b2o13bobo2bobo60b2o\$63bobo10b2o22b3o42bo10b2o2b2ob2o34b2o24bo\$55bo3b2o2bobo37bo40b2o54bo13b2o6b3o\$54bobo2bo2b2ob2o35b2o40bo55bobo11b2o6bo19b3o\$54bobo3bobo47bo79bo10b2o39bo\$41bo9bo3bob4o2bob2o42bo8b2o26bobo39b3o52bo\$5b2o34b3o5b3o5bo3bobob2o27b2o13b3o7bo26b2o39bo\$5b2o22b2o13bo3bo7bo3bobo3b2o26bo21b3o28bo33bo5b2o\$29bo13b2o3b2o5bo3bobo5b2o22b2obo21bo55b2o8b2o45bo\$30bo24b2o3bo5b2o23bo2b3o4b2o46bo23bo7b2o44bo2bo\$29b2o36bo2b2o20b2o3bo3b2o42b2ob2o23bob2o49bo2b2o\$68b4o22b4o48b3o25bo2bo19bob2o26bo\$69bo2b2o20bo15b2o30b2o3bo11b2o14b2o20bo3bobo24bo\$2o43bo49b3o12bobo21b2o6b2o15bobo28b2o11bo54b2o\$2o43bo52bo13bo21bobo24bo28b2o9bobo54b2o\$45bo37b2o8b5o14b2o20bo26b2o34bobo\$6b4obo14b2o54bo2bo7bo\$5bo4b2o14b2o12b2o41b2obo8bo133b2o\$4b2obo3bo27b2obo43bo7b2o103bo3b2o24bo\$6bob3o29bo2bo42b2o110bobo3bo5b2o3b2o13bo\$41b2o28b2o124bobo3bo7bo3bo13b2o22b2o\$72bo120b2obobo3bo5b3o5b3o34b2o\$69b3o82b2o37b2obo2b4obo3bo9bo\$57b2o10bo84bo42bobo3bobo\$37bo6b2o11bobo92bobo38b2ob2o2bo2bobo\$35b3o6b2o13bo92b2o40bobo2b2o3bo\$34bo24b2o68bo52b2o10bobo\$34b2o91b3o52b2o11bo\$71b2o14b2o37bo29bo\$46b2o24bo14bobo30bo5b2o27bobo\$47bo13b2o6b3o15bo30bobo34bobo\$47bobo11b2o6bo49b2o33b2ob3o\$37bo10b2o110bo\$35b3o75bo40b2ob3o\$34bo76b3o40b2obo\$34b2o74bo\$19b2o56bo32b2o49b2o\$20bo54b2ob2o61b2o6bo11bo\$20bob2o6bobo43bo2bo60bobo5bobo8bobo\$21bo2bo6b2o14bob4o24b2o61bo6bo3bo7b2o\$22b2o7bo15b2o4bo60bo24b2o6b3obo\$37b2o8bo3bob2o58bobo30b2o2b2o\$37b2o9b3obo55bo3bob2o31bobo\$108bo2b2ob2o6b2o\$111bo2bo6bo2bo\$76b2o34b2o8b2o\$46bo3b2o24bo20b2o38bo\$45bobo3bo5b2o3b2o13bo20bo36bobo\$44bobo3bo7bo3bo13b2o17b3o6bob2o17b2o9b2o12bo\$40b2obobo3bo5b3o5b3o29bo6b3ob2o17bo23bobo\$40b2obo2b4obo3bo9bo35bo24b3o20bobo\$44bobo3bobo49b3ob2o20bo21bo\$40b2ob2o2bo2bobo51bobo28b2o17b2o\$41bobo2b2o3bo52bobo4b2o21bobo17bobo\$29b2o10bobo61bo6bo21bo10bo10bo\$29b2o11bo66b3o21b2o11bo9b2o\$109bo34b3o!`

And a p84 Herschel factory that maybe of use in a p14 or a p21 gun:

`x = 119, y = 61, rule = B3/S2324b2o11bo\$24b2o10bobo\$36bobo2b2o3bo\$35b2ob2o2bo2bobo\$27bo11bobo3bobo\$25b2obo6b2obo2b4obo\$25b2o8b2obobo3bo\$29b2o8bobo3bo\$25b2o2b2o9bobo3bo\$25b4o12bo3b2o\$25bo4bo29bo39b2o\$25b2ob3o27b3o13bo25bo\$21bo3bo2bo28bo16b3o21bobo\$21b2o2b2o16bo13b2o18bo20b2o\$21bo4bo15b2o32b2o\$17b2o23bobo3b2o\$16bo2bo28b4o60b2o\$15bob2o28bo4bo59b2o\$15bo30b4o2bo10b2o11bobo\$14b2o30b2obob2o28b3o\$29b2o15b2o19bo11b2o2bo\$29bo18b3o15bo10b4ob2o\$30b3o32bobo3bo7b3o\$32bo10b2o26bo45b2o\$42bobo72b2o\$42bo\$41b2o10b2o53bo\$14bo39bo53bobo\$14b2o20bo14b3o9b2o32b2o9b3o\$13bobo18b3o14bo4b2o5bo20b2o11b2o11bo\$33bo21bobo3bobo21bo\$20b2o11b2o20bo5b2o4bo14b3o\$20b2o32b2o9b3o14bo\$30b2o32bo\$24bo3bo2bo32b2o10b2o\$22b2o3bo3bo44bo\$2o20bo4bo46bobo\$2o20bo2bo2b2o44b2o10bo\$23bo30bobo29b3o\$24bo29b2o33bo\$54bo33b2o\$38bo55bo8b2o\$36bobo53b2o9bo\$5b2o30b2o54b2o5b2obo\$5b2o74b2o16bo2bo\$80bo2bo16b2o\$41b2o36b2o2bo\$19b2o20bo18b2o18b2o2bo\$18bobo21b3o16bo19b4o\$18bo25bo13b3o\$17b2o39bo\$72b2o3bo\$72bo3bobo\$73bo3bobo\$74bo3bobob2o\$72bob4o2bob2o\$71bobo3bobo\$71bobo2bo2b2ob2o\$72bo3b2o2bobo\$80bobo10b2o\$81bo11b2o!`

(As a gun this family doesn't set any records but as a Herschel factory it looks pretty good)
chris_c

Posts: 851
Joined: June 28th, 2014, 7:15 am

### Re: Execution of Old Guns by Variable-Speed Firing Squad

simsim314 wrote here:
simsim314 wrote:Kinda big for a single glider, and yet what I could find with the current search:

That new H-to-G removes p533 from the Hall of Shame with this fixed gun:
(EDIT: The H-to-G can be reduced in size, I'll update when I'm done exploring this)
EDIT2: Updated, see here:

`x = 85, y = 69, rule = B3/S2349b2o3b2o\$49b2o2bob3o\$53bo4bo\$49b4ob2o2bo\$49bo2bobobob2o\$52bobobobo\$53b2obobo\$57bo2\$43b2o\$44bo7b2o\$44bobo5b2o11bo\$45b2o18b3o\$68bo\$67bobo\$67bobo\$68bo3\$55b2o\$55bo\$56b3o24b2o\$58bo24b2o2\$20bo\$18b3o\$17bo45b2o\$7b2o8b2o43bobo\$7b2o53bo\$61b2o7b2o\$25b2o43b2o\$24bobo\$25bo52b2obo\$78b2ob3o\$28bo55bo\$26b2obo48b2ob3o\$2b2o18b6obo47bo2b2o\$bobo17b2o2b4o47bobo\$bo18bo2b2o33bo16bobob2obo\$2o18bo3bo33b3o15bo2bob2o\$20bo3bo36bo17bo\$39b2o19b2o16b2o\$23b2o14bo15bo19bobo2b2o\$20b3obo12bobo15b3o17b2o2bo2bo\$6b2o11b4ob2o11b2o19bo21b2o\$7bo10b2o5bo31b2o\$7bobo15bo\$8b2o14bo2\$20b4ob2o\$20b4o3bo\$21b4o3bo25b2o\$29bo24b2o17b2o\$24bo48b2o\$23bo\$28bo\$23b2o5bo43b2o\$30bo43bo\$61b2o12b3o\$26bo7bo27bo14bo\$28bo4bobo23b3o\$27bo6bo24bo\$20b2o\$20b2o2\$31b2o\$31bobo19bo\$33bo20bo\$33b2o17b3o!`
Last edited by simeks on April 25th, 2015, 11:22 am, edited 2 times in total.
simeks

Posts: 354
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

### Re: Execution of Old Guns by Variable-Speed Firing Squad

simeks wrote:That new H-to-G removes p533 from the Hall of Shame with this fixed gun

Nice!

And by copying the old p525 but replacing the p175 gun with the smaller, more modern version, we can knock all of the fixed guns out of the Hall of Shame:

`#C Updated p525 with smaller p175 gunx = 100, y = 73, rule = B3/S2317b2o3b2o15b2o3b2o\$17b2o2bob3o13b2o2bob3o\$21bo4bo16bo4bo\$17b4ob2o2bo12b4ob2o2bo\$17bo2bobobob2o11bo2bobobob2o\$20bobobobo15bobobobo\$21b2obobo16b2obobo\$25bo21bo2\$11b2o20b2o\$12bo7b2o12bo7b2o\$12bobo5b2o12bobo5b2o\$13b2o20b2o\$21bo\$21b2o\$20bobo4\$23b2o20b2o\$23bo21bo\$4bo19b3o19b3o16bo\$2b5o14b3o2bo21bo16b3o\$bo5bo13bo2bo43bo\$bo2b3o12bobo2b2o26bo14bobo\$2obo15b2o29b3o14bobo\$o2b4o42bo18bo\$b2o3bo3b2o37b2o\$3b3o4b2o16b2o\$3bo25b2o\$2obo24bo28b2o\$2ob2o53bo24b2o\$58bob2o21b2o\$50b2o4b3o2bo\$11b2o37b2o3bo3b2o10bo\$12bo42b4o11b3o\$9b3o29b2o15bo4b2o5bobo\$9bo30bobo12b3o4bobo\$40bo13bo7bo\$39b2o14b5ob2o6bo\$59bobo\$55b2o2bobo\$55b2o3bo17b2obo\$4bo73b2ob3o\$2b5o14b2o61bo\$bo5bo13bo56b2ob3o\$bo2b3o12bobo55bo2b2o\$2obo15b2o55bobo\$o2b4o51bo16bobob2obo\$b2o3bo3b2o24bo21b3o15bo2bob2o\$3b3o4b2o12bo10bo25bo17bo\$3bo20b3o8b3o22b2o16b2o\$2obo23bo47bobo2b2o\$2ob2o21b2o47b2o2bo2bo\$80b2o2\$11b2o31b2o\$12bo31bobo34b2o\$9b3o32bo36bo\$9bo69bobo\$36b2o41b2o4b2o3bo2bo3b2o\$29b2o5bobo46b5o4b5o\$29b2o7bo46b2o3bo2bo3b2o\$38b2o12bobo\$53b2o6bo\$25bo27b2o5bo\$24bobob2o58b2o4b2o\$24bobobobo27bo28bo8bo\$23b2obobobo2bo23bo2bo25bo2bo4bo2bo\$24bo2b2ob4o23bobo27bo8bo\$24bo4bo28bo25bo3b2o4b2o\$25b3obo2b2o31b2o18bo\$27b2o3b2o31b2o16b3o13bo!`

EDIT: simeks reduction of the p533 has also been incorporated.
chris_c

Posts: 851
Joined: June 28th, 2014, 7:15 am

### Re: Execution of Old Guns by Variable-Speed Firing Squad

chris_c wrote:And by copying the old p525 but replacing the p175 gun with the smaller, more modern version, we can knock all of the fixed guns out of the Hall of Shame:

Nice one! From p78 and above only two fixed guns with a size above 8000 remains: p445 and p992.

You noticed my reduction of p533 but I'm posting it here for completeness, and adding a some ways folds can be added to it. Each seems to improve something:

p533:

`x = 77, y = 69, rule = B3/S2341b2o3b2o\$41b2o2bob3o\$45bo4bo\$41b4ob2o2bo\$41bo2bobobob2o\$44bobobobo\$45b2obobo\$49bo2\$35b2o\$36bo7b2o\$36bobo5b2o11bo\$37b2o18b3o\$60bo\$59bobo\$59bobo\$60bo3\$47b2o\$47bo\$48b3o24b2o\$50bo24b2o4\$55b2o\$54bobo\$54bo\$53b2o7b2o\$17b2o43b2o\$16bobo\$17bo52b2obo\$70b2ob3o\$20bo55bo\$18b2obo48b2ob3o\$14b6obo47bo2b2o\$13b2o2b4o47bobo\$2o10bo2b2o33bo16bobob2obo\$2o10bo3bo33b3o15bo2bob2o\$12bo3bo36bo17bo\$31b2o19b2o16b2o\$15b2o14bo15bo19bobo2b2o\$12b3obo12bobo15b3o17b2o2bo2bo\$11b4ob2o11b2o19bo21b2o\$2o8b2o5bo31b2o\$2o15bo\$16bo2\$12b4ob2o\$12b4o3bo\$13b4o3bo25b2o\$21bo24b2o17b2o\$16bo48b2o\$15bo\$3b2o15bo\$4bo10b2o5bo43b2o\$b3o18bo43bo\$bo51b2o12b3o\$18bo7bo27bo14bo\$20bo4bobo23b3o\$19bo6bo24bo\$12b2o\$12b2o2\$23b2o\$23bobo19bo\$25bo20bo\$25b2o17b3o!`

p653+8n:

`x = 83, y = 77, rule = B3/S2352b2o5b2o\$52b2o5b2o10b2o\$71bo\$69bobo\$69b2o6\$25b2o3b2o27bo\$23b3obo2b2o26b2o\$22bo4bo24b3o2b2o4b2o11b2o\$22bo2b2ob4o19bo5b2o4b3o10b2o\$21b2obobobo2bo18b2o5b2o4b3o\$22bobobobo21bobo3bo6b3o2bobo\$22bobob2o17bo4bob3ob3o2bo3bobo2bo\$23bo20bobo3b2o6b3o2bo\$44b2o3b3o11bo9bo\$36b2o11b3o12bo10bo\$27b2o7bo11bo2bo13bo3bo4bo\$9bo17b2o5bobo12b2o15bo\$9b3o22b2o34b2o\$12bo66b2o\$11b2o66bo\$36bo37bo5b3o\$36b3o34bobo6bo\$2ob2o34bo34bo\$2obo34b2o\$3bo20b2o31b2o\$3b3o4b2o13bo32bo\$b2o3bo3b2o10b3o30b3o\$o2b4o15bo32bo\$2obo15b2obo\$bo2b3o12bobob2o\$bo5bo13bo2bo23b2o\$2b5o14b2o18b2o5bobo\$4bo36b2o7bo\$50b2o2\$37bo\$36bobob2o\$36bobobobo\$35b2obobobo2bo\$36bo2b2ob4o36bo\$36bo4bo38bobo\$37b3obo2b2o19b2o14b2o\$39b2o3b2o10b2o7b2o\$57bo\$57bobo\$52b2o4b2o\$53bo20b2o\$53bobo18bo\$43bo10b2o16bobo\$41b3o28b2o\$40bo\$40b2o\$25b2o\$26bo\$26bob2o\$27bo2bo\$28b2o\$43b2o\$43b2o2\$66b2o\$66b2o2b2o\$52bo3b2o12bobo\$51bobo3bo14bo\$50bobo3bo15b2o\$46b2obobo3bo\$46b2obo2b4obo\$50bobo3bobo\$46b2ob2o2bo2bobo\$47bobo2b2o3bo\$35b2o10bobo\$35b2o11bo!`

p749+8n:

`x = 95, y = 77, rule = B3/S2364b2o5b2o\$64b2o5b2o10b2o\$83bo\$81bobo\$81b2o6\$71bo\$70b2o\$64b3o2b2o4b2o11b2o\$63bo5b2o4b3o10b2o\$62b2o5b2o4b3o\$62bobo3bo6b3o2bobo\$57bo4bob3ob3o2bo3bobo2bo\$56bobo3b2o6b3o2bo\$56b2o3b3o11bo9bo\$61b3o12bo10bo\$60bo2bo13bo3bo4bo\$61b2o15bo\$82b2o\$91b2o\$18b2o3b2o66bo\$18b2o2bob3o59bo5b3o\$22bo4bo57bobo6bo\$18b4ob2o2bo58bo\$18bo2bobobob2o\$21bobobobo41b2o\$22b2obobo42bo\$26bo40b3o\$67bo\$12b2o\$13bo7b2o\$13bobo5b2o\$14b2o7\$24b2o\$24bo69bo\$25b3o64bobo\$4bo22bo49b2o14b2o\$2b5o14b2o45b2o7b2o\$bo5bo13bo2bo44bo\$bo2b3o12bobob2o44bobo\$2obo15b2obo41b2o4b2o\$o2b4o15bo42bo20b2o\$b2o3bo3b2o10b3o40bobo18bo\$3b3o4b2o13bo29bo10b2o16bobo\$3bo20b2o27b3o28b2o\$2obo48bo\$2ob2o47b2o\$37b2o\$38bo\$11b2o25bob2o\$12bo26bo2bo\$9b3o22b2o4b2o\$9bo17b2o5bobo18b2o\$27b2o7bo18b2o\$36b2o\$78b2o\$23bo54b2o2b2o\$22bobob2o36bo3b2o12bobo\$22bobobobo34bobo3bo14bo\$21b2obobobo2bo30bobo3bo15b2o\$22bo2b2ob4o26b2obobo3bo\$22bo4bo30b2obo2b4obo\$23b3obo2b2o30bobo3bobo\$25b2o3b2o26b2ob2o2bo2bobo\$59bobo2b2o3bo\$47b2o10bobo\$47b2o11bo!`

p885+8n:

`x = 91, y = 90, rule = B3/S2325b2o3b2o\$23b3obo2b2o\$22bo4bo\$22bo2b2ob4o\$21b2obobobo2bo\$22bobobobo\$22bobob2o\$23bo17b2o3b2o\$41b2o2bob3o\$36b2o7bo4bo\$27b2o7bo4b4ob2o2bo\$9bo17b2o5bobo4bo2bobobob2o\$9b3o22b2o8bobobobo\$12bo32b2obobo\$11b2o36bo2\$35b2o\$2ob2o31bo7b2o\$2obo32bobo5b2o\$3bo20b2o11b2o\$3b3o4b2o13bo\$b2o3bo3b2o10b3o\$o2b4o15bo\$2obo15b2obo\$bo2b3o12bobob2o\$bo5bo13bo2bo\$2b5o14b2o24b2o\$4bo42bo\$48b3o\$29bo20bo\$27b3o\$26bo\$26b2o43bo\$71b3o\$74bo\$73bobo\$73bobo\$74bo\$61bo\$16b2o25b2o14b5o\$15bobo5b2o19bo13bo5bo\$15bo7b2o19bobo12b3o2bo\$14b2o29b2o15bob2o23b2o\$59b4o2bo23b2o\$28bo25b2o3bo3b2o\$24b2obobo24b2o4b3o\$23bobobobo32bo\$20bo2bobobob2o31bob2o3b2o\$20b4ob2o2bo31b2ob2o2bobo\$24bo4bo38bo\$20b2o2bob3o38b2o7b2o\$20b2o3b2o4b2o20b2o21b2o\$30bobo20bo\$31bo22b3o27b2obo\$56bo27b2ob3o\$34bo55bo\$32b2obo48b2ob3o\$28b6obo47bo2b2o\$27b2o2b4o47bobo\$14b2o10bo2b2o33bo16bobob2obo\$14b2o10bo3bo33b3o15bo2bob2o\$26bo3bo36bo17bo\$45b2o19b2o16b2o\$29b2o14bo15bo19bobo2b2o\$26b3obo12bobo15b3o17b2o2bo2bo\$25b4ob2o11b2o19bo21b2o\$14b2o8b2o5bo31b2o\$14b2o15bo\$30bo2\$26b4ob2o\$26b4o3bo\$27b4o3bo25b2o\$35bo24b2o17b2o\$30bo48b2o\$29bo\$17b2o15bo\$18bo10b2o5bo43b2o\$15b3o18bo43bo\$15bo51b2o12b3o\$32bo7bo27bo14bo\$34bo4bobo23b3o\$33bo6bo24bo\$26b2o\$26b2o2\$37b2o\$37bobo19bo\$39bo20bo\$39b2o17b3o!`

and p957+8n:

`x = 95, y = 78, rule = B3/S2326b2o3b2o\$24b3obo2b2o31b2o5b2o\$23bo4bo35b2o5b2o10b2o\$23bo2b2ob4o50bo\$22b2obobobo2bo48bobo\$23bobobobo51b2o\$23bobob2o\$24bo2\$37b2o\$28b2o7bo\$10bo17b2o5bobo33bo\$10b3o22b2o33b2o\$13bo50b3o2b2o4b2o11b2o\$12b2o49bo5b2o4b3o10b2o\$62b2o5b2o4b3o\$62bobo3bo6b3o2bobo\$b2ob2o51bo4bob3ob3o2bo3bobo2bo\$b2obo51bobo3b2o6b3o2bo\$4bo20b2o29b2o3b3o11bo9bo\$4b3o4b2o13bo34b3o12bo10bo\$2b2o3bo3b2o10b3o19bo14bo2bo13bo3bo4bo\$bo2b4o15bo2b3o14b5o13b2o15bo\$b2obo15b2obobo2bo13bo5bo33b2o\$2bo2b3o12bobo2bo2bobo12b3o2bo42b2o\$2bo5bo13bobo4b2o15bob2o41bo\$3b5o14b2o19b4o2bo36bo5b3o\$5bo32b2o3bo3b2o36bobo6bo\$38b2o4b3o39bo\$46bo\$46bob2o19b2o\$45b2ob2o20bo\$67b3o\$67bo\$37b2o\$37bo\$38b3o\$40bo8\$94bo\$92bobo\$4bo72b2o14b2o\$2b5o14b2o45b2o7b2o\$bo5bo13bo2bo44bo\$bo2b3o12bobob2o44bobo\$2obo15b2obo41b2o4b2o\$o2b4o15bo42bo20b2o\$b2o3bo3b2o10b3o40bobo18bo\$3b3o4b2o13bo29bo10b2o16bobo\$3bo20b2o27b3o28b2o\$2obo48bo\$2ob2o47b2o\$37b2o\$38bo\$11b2o25bob2o\$12bo26bo2bo\$9b3o22b2o4b2o\$9bo17b2o5bobo18b2o\$27b2o7bo18b2o\$36b2o\$78b2o\$23bo54b2o2b2o\$22bobob2o36bo3b2o12bobo\$22bobobobo34bobo3bo14bo\$21b2obobobo2bo30bobo3bo15b2o\$22bo2b2ob4o26b2obobo3bo\$22bo4bo30b2obo2b4obo\$23b3obo2b2o30bobo3bobo\$25b2o3b2o26b2ob2o2bo2bobo\$59bobo2b2o3bo\$47b2o10bobo\$47b2o11bo!`
simeks

Posts: 354
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

### Re: Execution of Old Guns by Variable-Speed Firing Squad

simeks wrote:You noticed my reduction of p533 but I'm posting it here for completeness, and adding a some ways folds can be added to it. Each seems to improve something: p533, p653+8n, p749+8n, p885+8n and p957+8n.

Thanks. I added all those. The x-coordinate of the p957 grows fairly unusually: it increases by 1 for each of the first 3 extensions, then it is constant for the next 4 extensions, then it grows by 1 every other extension. To deal with this I made it into two gun families: a p957 and a p981 = p957 + 3*8.

In other news I found a new p424. I don't know how it took us so long to find it:

`x = 86, y = 61, rule = B3/S2324b2o2\$22bo3bo\$22bo4bo\$24bobobo8bo\$25bobobo5b3o\$26bo4bo2bo\$27bo3bo2b2o2\$28b2o2bo\$31bobo\$32b2o2b2o\$36b2o4\$78b2o\$64b2o12b2o\$46bo18bo\$46b3o16bobo\$49bo16b2o\$48b2o\$9bo\$9b3o\$12bo\$11b2o71b2o\$84b2o\$19bo\$3b2o12b2o21b2o\$3bo14b2o21bo\$2obo37bobo\$o2b3o4b2o30b2o\$b2o3bo3b2o72bo\$3b4o76bobo\$3bo15b2o15bo30b2o15bo\$4b3o12bobo2b2o10b3o24bo3b2o\$7bo13bo2bo14bo22bobo\$2b5o14b3o2bo11b2o21bobo\$2bo21b3o34bo12b2o\$4bo18bo36b2o11bobo\$3b2o18b2o48bo\$8b2o62b2o11bo\$9bo73bobo\$9bob2o71b2o\$10bo2bo\$11b2o\$26b2o\$26b2o2\$46b2o3bo\$47bo4b2o\$35bo3b2o3b3o3b2o\$34bobo3bo3bo7bo\$33bobo3bo\$29b2obobo3bo\$29b2obo2b4obo\$33bobo3bobo\$29b2ob2o2bo2bobo\$30bobo2b2o3bo\$18b2o10bobo\$18b2o11bo!`

With the following variant:

`x = 90, y = 60, rule = B3/S2324b2o\$24b2obo\$28bo8bo\$25bo9b3o\$26bob2o4bo\$28b2o4b2o2\$32bo\$31bobo\$32b2o2b2o\$36b2o6\$65b2o\$47bo18bo\$47b3o16bobo\$50bo16b2o\$9bo39b2o\$9b3o\$12bo\$11b2o75b2o\$88b2o2\$3b2o\$3bo37b2o\$2obo11bobo24bo\$o2b3o4b2o3b2o25bobo\$b2o3bo3b2o4bo26b2o\$3b4o\$3bo15b2o\$4b3o12bobo15bo\$7bo13bo15b3o\$2b5o14b2o17bo\$2bo24bo11b2o\$4bo20b3o\$3b2o19bo53b2o\$24b2o52b2o\$9b2o\$10bo\$10bob2o\$11bo2bo\$12b2o\$27b2o\$27b2o2\$47b2o\$48bo\$36bo3b2o3b3o\$35bobo3bo3bo\$34bobo3bo\$30b2obobo3bo\$30b2obo2b4obo\$34bobo3bobo\$30b2ob2o2bo2bobo\$31bobo2b2o3bo\$19b2o10bobo\$19b2o11bo!`

I think it becomes true to say:

`If N > 548 then there exists a gun of period N with minimum repeating population less than or equal to 191 cells.`

Also the period doubled version of the p424 hits the p992 that you mentioned:

`x = 96, y = 70, rule = B3/S2325bo\$24b2o\$23bob2o\$22b3o2bo\$24bobobo8bo\$25bobobo5b3o\$26bo2b3o2bo\$27b2obo3b2o\$28b2o\$28bo3bo\$31bobo\$32b2o2b2o\$36b2o5\$28bo\$28bobo\$28b2o3\$9bo73bo\$9b3o71b3o\$12bo73bo\$11b2o72b2o\$73b2o\$55bo18bo\$3b2o50b3o16bobo\$3bo54bo16b2o\$2obo53b2o\$o2b3o4b2o\$b2o3bo3b2o\$3b4o\$3bo15b2o\$4b3o12bobo\$7bo13bo\$2b5o14b2o26b2o35b2o\$2bo47bo35b2o\$4bo45bobo\$3b2o46b2o3\$45bo30b2o\$45b3o24bo3b2o\$48bo22bobo\$35bo11b2o21bobo\$33b3o34bo13b2o\$32bo36b2o14bo\$32b2o48b3o10bo\$17b2o63bo10bobo\$18bo75b2o\$18bob2o\$19bo2bo\$20b2o\$35b2o\$35b2o2\$55b2o4bo\$56bo2bobo\$44bo3b2o3b3o4bobo\$43bobo3bo3bo6bo\$42bobo3bo\$38b2obobo3bo\$38b2obo2b4obo\$42bobo3bobo\$38b2ob2o2bo2bobo\$39bobo2b2o3bo\$27b2o10bobo\$27b2o11bo!`

Finally, it also gives options for making... err... p160 edge shooters:

`x = 71, y = 101, rule = B3/S2335bo2\$33bob3o\$35b2obo\$35bob2o\$36b3obo2\$38bo3\$32bo\$31bobo\$31bobo16bo\$25b2o5bo17bobo\$24b2ob2o10b2o9b3o\$23bo4bo10b2o11bo\$22b3o3bo\$21bo4b2o\$21bobo\$22b2o\$51b2o\$52bo\$49b3o\$49bo\$38b2o\$25b2o11b2o\$25b2o\$59b2o\$54b2o3b2o\$24bo29b2o\$23bobo\$24bo\$21b3o29b2o12b2o\$21bo32bo5b2o5bo\$51b3o6b2o6b3o\$51bo18bo2\$24b3o\$23bo3bo\$25bob2o\$10bo17bob2o\$8bobo14b2ob3obo\$9bobo10bo4b3ob2o\$9bo13b3o\$24b3o12b2o\$25b2o12bobo\$10b2o29bo\$9bobo29b2o\$9bo\$8b2o\$29b2o\$29bo\$3b2o25b3o\$2bo2bo2b2o22bo\$3b2o2bobo13b2o\$5b2o16bobo\$5bo19bo\$2b2obo2bo16b2o\$2bob2obobo\$6bobo\$3b2o2bo\$b3ob2o\$o\$b3ob2o48b2o5b2o\$3bob2o48b2o5bo\$60bobo\$60b2o\$22b2o32b2o\$22bo33bobo\$20bobo27bobo4bo2b2o\$20b2o28b2o\$11b2ob2o35bo6bo3bo\$11b2ob2o42bo4bo\$13bo46bobobo\$2o59bobobo\$2o60bo4bo\$63bo3bo2\$30bo33b2o\$30b3o\$16bo16bo\$15bobo14b2o\$15bobo\$16bo\$17b3o\$19bo3\$42b2o\$35b2o5bobo\$35b2o7bo\$44b2o2\$31bo\$30bobob2o\$30bobobobo\$27b2obobobobo2bo\$27bo2bo2b2ob4o\$29b2o4bo\$35bobo\$36b2o!`

EDIT:

`*******************************Hall of Shame (p78 or greater)*******************************543 (8680, 'p00958_16_p00543')       (7 mod 8)517 (8662, 'p00986_6_p00517')        (5 mod 8)961 (8652, 'p00921_5')               (1 mod 8)999 (8648, 'p00879_15')              (7 mod 8)949 (8614, 'p00901_6')               (5 mod 8)953 (8568, 'p00921_4')               (1 mod 8)941 (8555, 'p00901_5')               (5 mod 8)991 (8554, 'p00879_14')              (7 mod 8)509 (8540, 'p00986_4_p00509')        (5 mod 8)933 (8496, 'p00901_4')               (5 mod 8)945 (8484, 'p00921_3')               (1 mod 8)937 (8484, 'p00921_2')               (1 mod 8)817 (8448, 'p00673_18')              (1 mod 8)925 (8437, 'p00901_3')               (5 mod 8)501 (8418, 'p00986_2_p00501')        (5 mod 8)535 (8418, 'p00958_14_p00535')       (7 mod 8)877 (8400, 'p00853_3')               (5 mod 8)917 (8378, 'p00901_2')               (5 mod 8)993 (8374, 'p00969_3')               (1 mod 8)893 (8372, 'p00885_1')               (5 mod 8)`
chris_c

Posts: 851
Joined: June 28th, 2014, 7:15 am

### Re: Execution of Old Guns by Variable-Speed Firing Squad

chris_c wrote:Finally, it also gives options for making... err... p160 edge shooters...

Edge shooters with this engine go down to p144, and they don't have to be that big... unless you really need the 26hd clearance model instead of the zero-clearance model. But at p160 I don't think the Fx119 inserter really counts as 26hd clearance, anyway -- too many sparks in the way.

`x = 90, y = 62, rule = B3/S2357bo11b2o\$56bobo10b2o\$48bo3b2o2bobo\$47bobo2bo2b2ob2o\$47bobo3bobo\$48bob4o2bob2o\$50bo3bobob2o\$49bo3bobo\$37bo6bo3bo3bobo\$35bobo4b3o3b2o3bo\$36bobo2bo\$36bo4b2o\$51b2obo\$51b4o6b2o\$50bo3bo6b2o\$51b3o22b2o\$51b3o21bo2bo\$53bo22b2obo\$79bo\$79b2o\$10b2o52b2o\$10b2o15b2o36bo19b2o\$27bo34b3o20bo\$25bobo21b2o11bo24bo\$24bobo22bo17b2o14b5o\$20b2o3bo24b3o15bo13bo\$20b2o30bo15bobo12b3o\$69b2o15bo\$74b2o7b4o\$36bo8b2o26bobo2b2o3bo3b2o\$35b4o6bobo27bo2b2o4b3o2bo\$34b2ob4o6bo38bob2o\$35bobo9b2o37bo\$36b2o2bo44b2o\$37b3o\$2o\$2o75b2o\$77bo\$78b3o\$39b2o39bo\$21b2o16bo\$21bobo16b3o\$23bo18bo\$23b2o6\$52b2o\$52b2o2b2o\$56bobo\$57bo3bo\$60b2o\$54b2o3bob2o\$55bo2b3o2bo\$52b3o5bobobo\$52bo8bobobo\$62bo2b3o\$19bo43b2obo\$20bo43b2o\$18b3o43bo!#C [[ AUTOSTART STEP 8 ZOOM 5 ]]`

EDIT: So what's the smallest p8N loop-with-surplus-glider found so far, that doesn't need any p4 or p8 oscillators? Eight Herschels in such a loop, if it ended up less than 191 cells, would be a very simple upper bound for gun population...

dvgrn
Moderator

Posts: 4906
Joined: May 17th, 2009, 11:00 pm

### Re: Execution of Old Guns by Variable-Speed Firing Squad

dvgrn wrote:Edge shooters with this engine go down to p144, and they don't have to be that big... unless you really need the 26hd clearance model instead of the zero-clearance model.

Yeah, I saw that but I assumed it wouldn't be such a big improvement over the old model. Turns out I was wrong. The syringe based gun can pack at 41fd for shooting gliders on the same lane compared to 52fd for the old gun:

`x = 152, y = 298, rule = B3/S2361bo11b2o\$60bobo10b2o\$52bo3b2o2bobo\$51bobo2bo2b2ob2o\$51bobo3bobo\$52bob4o2bob2o\$54bo3bobob2o\$53bo3bobo\$41bo6bo3bo3bobo\$39bobo4b3o3b2o3bo\$40bobo2bo\$40bo4b2o\$56b3o\$58bo6b2o\$46bo10bo7b2o\$46bo33b2o\$44bo34bo2bo\$43b3o3bo30b2obo\$42bo3bob2o33bo\$43b5o35b2o\$14b2o28b3o3b2o16b2o5b3o\$14b2o15b2o18bo17bo5bo13b2o\$31bo18bo15b3o7bo12bo\$29bobo21b2o11bo24bo\$28bobo22bo17b2o14b5o\$24b2o3bo24b3o15bo13bo\$24b2o30bo15bobo12b3o\$73b2o15bo\$87b4o\$49b2o31b2o3bo3b2o\$22b2o2b2o21bobo30b2o4b3o2bo\$21b3o2b2o23bo38bob2o\$22b2o2b3o22b2o37bo\$23bo2b2o61b2o2\$4b2o\$4b2o75b2o\$81bo\$51bobo28b3o\$43b2o7b2o30bo\$25b2o16bo8bo\$25bobo16b3o55bo11b2o\$27bo18bo54bobo10b2o\$27b2o64bo3b2o2bobo\$92bobo2bo2b2ob2o\$92bobo3bobo\$93bob4o2bob2o\$95bo3bobob2o\$94bo3bobo\$56b2o24bo6bo3bo3bobo\$56b2o2b2o18bobo4b3o3b2o3bo\$60bobo18bobo2bo\$61bo19bo4b2o\$65bo33b2o\$58b2o4b3o28b2ob3o5b2o\$59bo3b3obo26b3ob2o6b2o\$56b3o5bo3bo26b2ob3o20b2o\$56bo8bo3bo28b2o20bo2bo\$66bob3o50b2obo\$67b3o54bo\$68bo55b2o\$55b2o52b2o\$55b2o15b2o36bo19b2o\$72bo34b3o20bo\$70bobo21b2o11bo24bo\$69bobo22bo17b2o14b5o\$65b2o3bo24b3o15bo13bo\$65b2o30bo15bobo12b3o\$114b2o15bo\$33bo85b3o6b4o\$31bobo46bo9b2o29b4o3bo3b2o\$32b2o45bo10bobo27bob3o4b3o2bo\$78b2o12bo38bob2o\$79b2o3b2o6b2o37bo\$80b3ob2o44b2o\$82bobo\$45b2o36b2o\$45b2o75b2o\$122bo\$123b3o\$84b2o39bo\$66b2o16bo\$66bobo16b3o\$68bo18bo\$68b2o6\$97b2o\$97b2o2b2o\$101bobo\$102bo\$106bo\$99b2o\$100bo3bob3o\$97b3o6b2obo\$97bo8bob2o\$107b3obo2\$109bo74\$60b2o3b2o\$60b2o2bob3o\$64bo4bo\$60b4ob2o2bo\$60bo2bobobob2o\$63bobobobo\$64b2obobo\$68bo2\$54b2o\$55bo7b2o\$55bobo5b2o\$56b2o3\$18b2o3b2o\$18b2o2bob3o\$22bo4bo\$18b4ob2o2bo\$18bo2bobobob2o37b2o22bo\$21bobobobo38bo21b3o\$22b2obobo39b3o17bo\$26bo42bo17b2o2\$12b2o39bo\$13bo7b2o30b2o40b2ob2o\$13bobo4bo2bo28bobo41bob2o\$14b2o80bo\$23bo64b2o4b3o\$23b2o63b2o3bo3b2o\$22bo70b4o2bo\$2o77b2o15bob2o\$2obo74bobo12b3o2bo\$4bo73bo13bo5bo\$bo22b2o51b2o14b5o\$2bob2o18bo58bobo9bo\$4b2o19b3o55b2o\$22bo4bo56bo\$8bo11b3o24bo\$7bobo9bo27b3o\$8b2o9b2o29bo\$4b2o43b2o\$3bobo53b2o\$3bo5b2o48bo\$2b2o5b2o46bobo\$57b2o\$50bo\$45b2o2b3o\$39b2o3bo2bo11bo\$39b2o3bo2b4o8b3o\$44bo2b3o2bo9bo\$48b2ob2o8b2o\$50b2o60b2o3b2o\$7b2o103b2o2bob3o\$7b2o107bo4bo\$112b4ob2o2bo\$112bo2bobobob2o\$48b2o3b2o60bobobobo\$28b2o19bo3bo17b2o43b2obobo\$28bobo15b3o5b3o7b2o5bobo46bo\$30bo15bo9bo7b2o7bo\$30b2o41b2o31b2o\$107bo7b2o\$60bo46bobo5b2o\$59bobob2o43b2o\$59bobobobo\$56b2obobobobo2bo46bo\$56bo2bo2b2ob4o3b2o41b2o\$58b2o4bo7bobo5b2o32bobo\$64bobo7bo4bobo\$65b2o3b4ob2o2bo\$70bo2bobobob2o37b2o22bo\$73bobobobo38bo21b3o\$74b2obobo39b3o17bo\$78bo42bo17b2o2\$64b2o\$65bo7b2o72b2ob2o\$65bobo5b2o73bob2o\$66b2o80bo\$29bo110b2o4b3o\$27bobo110b2o3bo3b2o\$28b2o115b4o2bo\$52b2o77b2o15bob2o\$52b2obo27bo46bobo12b3o2bo\$56bo27b2o44bo13bo5bo\$53bo22b2o5b2o44b2o14b5o\$54bob2o18bo70bo\$56b2o19b3o\$74bo4bo\$60bo11b3o24bo\$59bobo9bo27b3o\$60b2o9b2o29bo\$56b2o43b2o\$55bobo53b2o\$55bo5b2o48bo\$54b2o5b2o46bobo\$103b2o4b2o14bobo\$102bo2bo19b2o\$103b2o21bo\$78b3o10b2o18bo\$78b2ob2o8b2o18b3o\$78b2ob2o31bo\$80b2o31b2o\$103bo\$59b2o41bobo\$59b2o41bobo\$103bo2\$100b2o3b2o\$80b2o19bo3bo17b2o\$80bobo15b3o5b3o7b2o5bobo\$82bo15bo9bo7b2o7bo\$82b2o41b2o2\$112bo\$111bobob2o\$111bobobobo\$108b2obobobobo2bo\$108bo2bo2b2ob4o\$69bo40b2o4bo\$67bobo46bobo\$68b2o47b2o!`

dvgrn wrote:So what's the smallest p8N loop-with-surplus-glider found so far, that doesn't need any p4 or p8 oscillators? Eight Herschels in such a loop, if it ended up less than 191 cells, would be a very simple upper bound for gun population...

I think it's the p592. For example, this p295 gun shows that it is possible to make any gun of period >= 295 with population <= 267, but I think you need to go for a case-by-case proof to get below that.

`x = 313, y = 281, rule = B3/S23231b2o11bo\$231b2o10bobo\$243bobo2b2o3bo\$242b2ob2o2bo2bobo\$246bobo3bobo\$242b2obo2b4obo\$242b2obobo3bo\$246bobo3bo\$247bobo3bo\$248bo3b2o47b2o\$267bo33b2o\$265b3o13bo\$234b3o27bo16b3o\$234bo29b2o18bo\$234b3o46b2o\$224b2o\$223bo2bo\$222bob2o\$222bo\$221b2o\$236b2o\$236bo36b2o\$237b3o33b2o\$239bo10b2o\$249bobo59b2o\$249bo61b2o\$248b2o10b2o\$261bo\$258b3o9b2o\$258bo11bo19b2o\$271bo17bobo\$270b2o17bo\$288b2o13\$296bo\$295bo\$295b3o38\$163b2o\$162bobo\$164bo32\$223bo\$221b2o\$222b2o38\$89b2o\$90b2o\$89bo32\$148bo\$148bobo\$148b2o38\$15b3o\$17bo\$16bo13\$23b2o\$23bo17b2o\$21bobo17bo\$21b2o19bo11bo\$41b2o9b3o\$51bo\$51b2o10b2o\$2o61bo\$2o59bobo\$61b2o10bo\$38b2o33b3o\$38b2o36bo\$75b2o\$90b2o\$90bo\$87b2obo\$86bo2bo\$87b2o\$76b3o\$47b2o29bo\$48bo27b3o\$45b3o\$10b2o33bo\$10b2o47b2o3bo\$59bo3bobo\$60bo3bobo\$61bo3bobob2o\$59bob4o2bob2o\$58bobo3bobo\$58bobo2bo2b2ob2o\$59bo3b2o2bobo\$67bobo10b2o\$68bo11b2o!`
chris_c

Posts: 851
Joined: June 28th, 2014, 7:15 am

### Re: Execution of Old Guns by Variable-Speed Firing Squad

chris_c wrote:In other news I found a new p424. I don't know how it took us so long to find it:

Well, I think there are still a lot of almost obvious guns to add... Like this one, a p553+8n:

`x = 80, y = 72, rule = B3/S2326b2o3b2o\$24b3obo2b2o\$23bo4bo\$23bo2b2ob4o\$22b2obobobo2bo\$23bobobobo18b2o3b2o\$23bobob2o19b2o2bob3o\$24bo27bo4bo\$19bo28b4ob2o2bo\$17b3o17b2o9bo2bobobob2o\$16bo11b2o7bo13bobobobo\$15bobo10b2o5bobo14b2obobo\$15bobo17b2o19bo\$16bo\$42b2o\$43bo7b2o\$43bobo5b2o17bo\$44b2o22b3o\$2o65bo\$2o23b2o40b2o\$26bo\$23b3o\$23bo51b2ob2o\$20b2obo52bob2o\$20bobob2o28b2o20bo\$22bo2bo28bo13b2o4b3o\$13b2o7b2o31b3o10b2o3bo3b2o\$13b2o42bo15b4o2bo\$57bob2o15bob2o\$3bob2o48b2obobo12b3o2bo\$b3ob2o47bo3bo13bo5bo\$o38b3o11bo2b3o14b5o\$b3ob2o34bo11b3o19bo\$3b2o2bo32bo15bo\$6bobo46b2o\$2bob2obobo16bo\$2b2obo2bo15b3o\$5bo17bo\$5b2o16b2o\$3b2o2bobo\$2bo2bo2b2o\$3b2o60b2o\$58b2o5bobo\$58b2o7bo\$67b2o2\$54bo\$53bobob2o\$53bobobobo\$10b2o19b2o19b2obobobo2bo\$10b2o19b2o20bo2b2ob4o\$53bo4bo\$54b3obo2b2o\$9b2o45b2o3b2o\$10bo\$7b3o\$7bo21b2o\$28bobo\$28bo\$27b2o\$26bo2b2o\$15b2o10b2o2bo\$15b2o13bo2bo\$27b2obob2o\$27bo2bo\$29b2o3\$18b2o\$19bo8bo\$16b3o10bo\$16bo10b3o!`

By the way, I thought it would be interesting to follow how the average size of guns is the p78 - p999 range improves over time. Would that be easy to add to your script?

Also, did you notice how a recent discovery of a H->G with a NW glider on lane 17 makes nice guns with L112?
simeks

Posts: 354
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

### Re: Execution of Old Guns by Variable-Speed Firing Squad

simeks wrote:Well, I think there are still a lot of almost obvious guns to add... Like this one, a p553+8n:

Thanks, I added that one.

simeks wrote:By the way, I thought it would be interesting to follow how the average size of guns is the p78 - p999 range improves over time. Would that be easy to add to your script?

Sure, I will get that done before long.

simeks wrote:Also, did you notice how a recent discovery of a H->G with a NW glider on lane 17 makes nice guns with L112?

Ha ha, thanks for the hint! I guess this p441 is the kind of thing you are referring to. Feel free to add more snarks if that will set any more records.

`x = 69, y = 59, rule = B3/S2338b2o\$38bobo\$40bo4b2o\$36b4ob2o2bo2bo\$36bo2bobobobob2o\$39bobobobo\$40b2obobo\$44bo\$49bo\$30b2o17b3o\$31bo7b2o11bo\$31bobo5b2o10bobo\$32b2o17bobo\$52bo5\$67b2o\$42b2o23b2o\$42bo\$43b3o\$45bo\$45bob2o\$43b2obobo\$43bo2bo\$45b2o7b2o\$54b2o2\$62b2obo\$62b2ob3o\$68bo\$7b2o53b2ob3o\$7b2o52bo2b2o\$60bobo\$42bo16bobob2obo\$o7b2o32b3o15bo2bob2o\$3o4bo37bo17bo\$3bo2bo16b2o19b2o16b2o\$2b2o3b2o14bo16b2o17bobo2b2o\$13bo7bobo16bo18b2o2bo2bo\$12bobo6b2o19bo21b2o\$11b2o28b2o\$6b2o4b2o\$6b2o\$b2o\$b2o6b2o\$9b2o\$38b2o\$38b2o17b2o\$57b2o\$8b2o\$8b2o\$12b2o44b2o\$12bo45bo\$13b3o29b2o12b3o\$15bo14bo15bo14bo\$31bo11b3o\$29b3o11bo!`

EDIT: Added the p441 and simsim's tiny p120. The average area of guns in the range p78-999 is 5811. The average area over the same range in Jason Summers' collection was 9161 --- a reduction of over 1/3. The largest gun was p801 at 16864, now it is p543 at 8680.

Finally, to answer Sokwe's question from another thread, here is the list of guns with area under 1000 cells. The p120 gun is indeed 2nd smallest:

`Period   Area=============    30    324   120    726    46    784   104    861    94    950`
chris_c

Posts: 851
Joined: June 28th, 2014, 7:15 am

### Re: Execution of Old Guns by Variable-Speed Firing Squad

Here's an unexpected new adjustable p714+8N gun, thanks to a discovery by simsim314 this morning. Sets at least two records, probably more. Compression is 130 ticks for this orientation of the new transceiver:

Code: Select all
`x = 95, y = 63, rule = B3/S2328b2o\$28b2o\$bo\$b3o\$4bo21b2o\$3b2o21b2o\$13b2o65bo\$14bo64bobo\$14bobo62bobo\$15b2o46bo13b3ob2o\$63b3o10bo\$6bo59bo10b3ob2o9b2o\$5bobo57b2o12bob2o9bo\$5bo2bo81bobo\$6b2o82b2o\$2b2o7b2o\$bobo9bo\$bo10bo\$2o10bo2bo8b2o\$13bobo8b2o29b2o\$55b2o\$91b2o\$91b2o\$44bo\$43bobo\$13b2o28b2o\$14b2o36b2o\$13bo38bo19b2o\$53bo17bobo\$2b2o48b2o17bo\$2b2o13b2o51b2o\$17b2o57b2o\$23b2o51b2o13b2o\$23bo17b2o48b2o\$21bobo17bo\$21b2o19bo\$41b2o\$50b2o\$49bobo\$50bo\$2b2o\$2bo\$6b3o29b2o\$9b2o27b2o29b2o\$6b2ob2o58b2o22b2o\$8bo73b2o9bo\$81bo2bo6bobo\$82b2o7b2o\$3b2o82b2o\$2bobo81bo2bo\$2bo9b2obo71bobo\$b2o9b2ob3o70bo\$18bo\$12b2ob3o60b2o\$13bobo62bobo\$13bobo64bo\$14bo65b2o\$67b2o21b2o\$67b2o21bo\$91b3o\$40bo52bo\$41bo23b2o\$39b3o23b2o!#C [[ AUTOSTART STEP 4 ]]`

dvgrn
Moderator

Posts: 4906
Joined: May 17th, 2009, 11:00 pm

### Re: Execution of Old Guns by Variable-Speed Firing Squad

dvgrn wrote:Here's an unexpected new adjustable p714+8N gun, thanks to a discovery by simsim314 this morning.

Cool. It sets 13 records and together with the p561 below the average area has reduced been from 5811 to 5796.

`x = 73, y = 69, rule = B3/S2350b2o\$51bo7b2o\$51bobo5b2o\$52b2o2\$28b2o\$27bobo22bo4b2o\$21b2o4bo18b2o3bobo3b2o\$19bo2bo2b2ob4o14b2o2bo2bo11b2o\$19b2obobobobo2bo18bo9b2o3b2o\$22bobobobo31b2o\$22bobob2o28bo\$23bo31b3o9b2o\$54bo2bo9bobo\$36b2o17bo13bo\$27b2o7bo32b2o\$9bo17b2o5bobo\$9b3o22b2o\$12bo\$11b2o\$36bo\$36b3o15b2o\$3b2o34bo15bo\$3bo34b2o12b3o\$2obo20b2o26bo\$o2b3o4b2o13bo\$b2o3bo3b2o10b3o\$3b4o15bo\$3bo15b2obo\$4b3o12bobob2o47bo\$7bo13bo2bo23b2o20bobo\$2b5o14b2o18b2o5bobo20b2o\$2bo38b2o7bo\$4bo45b2o\$3b2o\$37bo\$36bobob2o\$36bobobobo\$33b2obobobobo2bo16b2o\$33bo2bo2b2ob4o16b2o\$35b2o4bo11b2o\$41bobo9bo2bo\$42b2o5b2o4b2o\$50bo20b2o\$50bobo18bo\$40bo10b2o16bobo\$38b3o28b2o\$37bo\$37b2o\$22b2o\$23bo\$23bob2o\$24bo2bo\$25b2o\$40b2o\$40b2o2\$63b2o\$63b2o2b2o\$49bo3b2o12bobo\$48bobo3bo14bo\$47bobo3bo15b2o\$43b2obobo3bo\$43b2obo2b4obo\$47bobo3bobo\$43b2ob2o2bo2bobo\$44bobo2b2o3bo\$32b2o10bobo\$32b2o11bo!`

EDIT: Thanks dvgrn for fixing the typo. After trawling the New Herschel Conduits thread I spotted a H->G by Sokwe that gives new p613 and p701. Average area now 5785.

`x = 222, y = 74, rule = B3/S2328b2o\$27bobo26b2o137b2o\$21b2o4bo27bo2bo135bo2bo\$19bo2bo2b2ob4o24b2o3bo133b2o3bo\$19b2obobobobo2bo29b3o136b3o\$22bobobobo35bo138bo\$22bobob2o18bo16b2o120bo16b2o\$23bo21bobo136bobo\$46bo138bo\$36b2o28bo138bo\$27b2o7bo29bobo9b2o125bobo9b2o\$9bo17b2o5bobo28bo2bo10bo124bo2bo10bo\$9b3o22b2o25b2o2b3o11bob2o117b2o2b3o11bob2o\$12bo47b6o12b2o2bo116b6o12b2o2bo\$11b2o46bo4b3o2bo7bo2bo66b2o49bo4b3o2bo7bo2bo\$36bo23b2ob2obo7bo3b2o67bobo49b2ob2obo7bo3b2o\$36b3o22b3o4b2o4bo74bo4b2o44b3o4b2o4bo\$3b2o34bo34bo3b2o65b4ob2o2bo2bo55bo3b2o\$3bo34b2o39bo65bo2bobobobob2o60bo\$2obo20b2o53bobo66bobobobo63bobo\$o2b3o4b2o13bo54b2o67b2obobo64b2o\$b2o3bo3b2o10b3o128bo\$3b4o15bo\$3bo15b2obo116b2o\$4b3o12bobob2o115bo7b2o\$7bo13bo2bo23b2o90bobo5b2o\$2b5o14b2o18b2o5bobo13b2o75b2o60b2o\$2bo38b2o7bo14bo138bo\$4bo45b2o10b3o136b3o\$3b2o57bo138bo\$37bo\$36bobob2o\$36bobobobo\$33b2obobobobo2bo85b2o18b2o\$33bo2bo2b2ob4o36bo49bo18bo69bo\$35b2o4bo38bobo47bo21b3o64bobo\$41bobo37b2o47b5o14b3o2bo65b2o\$42b2o91bo13bo3bo\$132b3o12bobob2o\$131bo15b2obo\$131b4o15bo\$129b2o3bo3b2o10b3o\$128bo2b3o4b2o13bo\$72b2o54b2obo20b2o57b2o\$72b2o57bo79b2o\$63b2o66b2o69b2o\$63bo2bo135bo2bo\$59b2o4b2o131b2o4b2o\$60bo20b2o56b2o58bo20b2o\$60bobo18bo58bo58bobo18bo\$50bo10b2o16bobo55b3o22b2o25bo10b2o16bobo\$48b3o28b2o56bo17b2o5bobo22b3o28b2o\$47bo107b2o7bo21bo\$47b2o115b2o20b2o\$32b2o137b2o\$33bo117bo20bo\$33bob2o113bobob2o16bob2o\$34bo2bo112bobobobo16bo2bo\$35b2o110b2obobobobo2bo14b2o\$50b2o95bo2bo2b2ob4o29b2o\$50b2o97b2o4bo33b2o\$155bobo\$73b2o81b2o54b2o\$73b2o2b2o133b2o2b2o\$59bo3b2o12bobo118bo3b2o12bobo\$58bobo3bo14bo117bobo3bo14bo\$57bobo3bo15b2o115bobo3bo15b2o\$53b2obobo3bo129b2obobo3bo\$53b2obo2b4obo127b2obo2b4obo\$57bobo3bobo130bobo3bobo\$53b2ob2o2bo2bobo126b2ob2o2bo2bobo\$54bobo2b2o3bo128bobo2b2o3bo\$42b2o10bobo124b2o10bobo\$42b2o11bo125b2o11bo!`

EDIT2: I found a nice p436 using the lovely coincidence that HtoG01 fires on the same lane as Fx77 followed by HtoG00. Together with its period multiplied variants it sets records at 69 different periods.

`x = 65, y = 54, rule = B3/S2341bo11b2o\$40bobo10b2o\$32bo3b2o2bobo\$31bobo2bo2b2ob2o\$17b2o12bobo3bobo\$18bo13bob4o2bob2o\$18bobo13bo3bobob2o\$19b2o12bo3bobo\$32bo3bobo\$32b2o3bo\$5b2o\$5b2o2\$45b2o2b2o\$45b2o2bobo\$49bo10b2o\$59bo2bo\$2o58b2obo\$2o61bo\$63b2o\$48b2o\$49bo5bo\$20b2o24b3o5bobo\$20b2o11b2o11bo7bo2bo\$33bo22bo\$34b3o\$36bo23b2o\$40b2o17bo2bo\$41bo17bobo\$41bobo16bo\$31bo10b2o12b3o\$29b3o24b2o\$28bo\$28b2o\$13b2o48b2o\$14bo48b2o\$14bob2o\$15bo2bo\$16b2o\$31b2o\$31b2o4\$40bo3b2o\$39bobo3bo\$38bobo3bo\$34b2obobo3bo\$34b2obo2b4obo5b2o\$38bobo3bobo5bo\$34b2ob2o2bo2bobo2b3o\$35bobo2b2o3bo3bo13bo\$23b2o10bobo26bo\$23b2o11bo25b3o!`
Last edited by dvgrn on May 1st, 2015, 7:06 pm, edited 1 time in total.
Reason: fixed a typo in the statistics, 5976 -> 5796
chris_c

Posts: 851
Joined: June 28th, 2014, 7:15 am

### Re: Execution of Old Guns by Variable-Speed Firing Squad

chris_c wrote:I guess this p441 is the kind of thing you are referring to. Feel free to add more snarks if that will set any more records.

I noticed you also added a p561 from that subtle hint...
Here's a related p777+8n. The size grows from 6808 with increasing n, then suddenly drops back to 6887 for n = 5 as the lower left Snark "falls off the edge".

`x = 92, y = 74, rule = Life44b2o3b2o\$44b2o2bob3o\$25b2o3b2o16bo4bo\$23b3obo2b2o12b4ob2o2bo\$22bo4bo16bo2bobobob2o\$22bo2b2ob4o15bobobobo\$21b2obobobo2bo16b2obobo\$22bobobobo23bo\$22bobob2o10bo\$23bo13bobo\$37bobo7b2o\$36b2obobo5b2o\$27b2o7bo3b2o\$9bo17b2o5bobo\$9b3o22b2o\$12bo\$11b2o3\$2ob2o45b2o\$2obo46bo\$3bo20b2o25b3o\$3b3o4b2o13bo27bo\$b2o3bo3b2o10b3o47bo\$o2b4o15bo49b3o\$2obo15b2obo52bo\$bo2b3o12bobob2o49bobo\$bo5bo13bo3bo48bobo\$2b5o14b3o2bo48bo\$4bo19b3o\$23bo\$23b2o2\$90b2o\$90b2o4\$13b2o44bo10b2o\$12bobo5b2o19b2o14b5o7bobo\$12bo7b2o20bo13bo5bo6bo\$11b2o29bobo12b3o2bo5b2o7b2o\$43b2o15bob2o13b2o\$25bo31b4o2bo\$21b2obobo25b2o3bo3b2o22b2obo\$20bobobobo25b2o4b3o24b2ob3o\$17bo2bobobob2o32bo30bo\$17b4ob2o2bo3b2o28bob2o21b2ob3o\$21bo4bo3b2o27b2ob2o20bo2b2o\$19b2o2b3o57bobo\$18bo2b2o42bo16bobob2obo\$18b2o3bo7b2o18b2o12b3o15bo2bob2o\$23b3o4bo20bo16bo17bo\$26bo2bo16b2o4b3o12b2o16b2o\$25b2o3b2o14bo7bo8b2o17bobo2b2o\$36bo7bobo16bo18b2o2bo2bo\$35bobo6b2o19bo21b2o\$34b2o28b2o\$29b2o4b2o\$29b2o\$24b2o\$24b2o6b2o\$32b2o\$61b2o\$61b2o17b2o\$80b2o\$31b2o\$31b2o\$35b2o44b2o\$35bo45bo\$36b3o29b2o12b3o\$38bo14bo15bo14bo\$54bo11b3o\$52b3o11bo!`

chris_c wrote:The average area of guns in the range p78-999 is 5811.

Thanks for adding this to the statistics!

chris_c wrote:I found a nice p436 using the lovely coincidence that HtoG01 fires on the same lane as Fx77 followed by HtoG00. Together with its period multiplied variants it sets records at 69 different periods.

That's an amazing finding! Inspired by this I modified my previous p827 to a p905+8n that breaks a few records:

`x = 93, y = 82, rule = Life29b2o11bo\$29b2o10bobo\$41bobo2b2o3bo\$40b2ob2o2bo2bobo\$44bobo3bobo12b2o\$40b2obo2b4obo13bo\$40b2obobo3bo13bobo\$44bobo3bo12b2o\$45bobo3bo\$46bo3b2o33b2o\$71b2o12b2o\$72bo\$72bobo\$37b2o34b2o\$37b2o\$22b2o\$21bo2bo\$20bob2o\$20bo70b2o\$19b2o70b2o\$34b2o\$34bo\$35b3o24b2o\$30b2o5b3o9b2o11b2o\$30bobo7bo9bo\$32bo4b3o7b3o41bo\$28b4ob2o2bo9bo42bobo\$28bo2bobobobo53bo\$31bobobobob2o\$32b2obobob2o\$36bo\$23b2o56b2o\$23bo56bobo\$4bo15b2obo7b2o47bo\$2b5o14bobobo5b2o46b2o11bo\$bo5bo13bo2b2o64bobo\$bo2b3o12bobo69b2o\$2obo15b2o35bo\$o2b4o48bo\$b2o3bo3b2o43b3o\$3b3o4b2o\$3bo\$2obo30b2o\$2ob2o29bo\$35b3o22bo\$37bo20b3o\$11b2o44bo\$12bo44b2o\$9b3o\$9bo\$65b2ob2o\$66bob2o\$66bo\$58b2o4b3o\$5bo52b2o3bo3b2o\$3b5o14b2o39b4o2bo\$2bo5bo13bo2bo23b2o15bob2o\$2bo2b3o12bobob2o18b2o2bobo12b3o2bo\$b2obo15b2obo21bo2bo13bo5bo\$bo2b4o15bo19bo2b3o14b5o\$2b2o3bo3b2o10b3o17b3o19bo\$4b3o4b2o13bo19bo\$4bo20b2o18b2o\$b2obo\$b2ob2o3\$12b2o\$13bo\$10b3o22b2o18b2o\$10bo17b2o5bobo10b2o5bobo\$28b2o7bo10b2o7bo\$37b2o18b2o2\$24bo19bo\$23bobob2o14bobob2o\$23bobobobo13bobobobo\$22b2obobobo2bo9b2obobobo2bo\$23bo2b2ob4o10bo2b2ob4o\$23bo4bo14bo4bo\$24b3obo2b2o11b3obo2b2o\$26b2o3b2o13b2o3b2o!`

I've also been meaning for a while to add these two shortened versions of my previous p958.
This is a p590+8n. The Herschel stopper used here gives a slightly better bounding box than the two blocks stopper, which could also be relevant here.

`x = 73, y = 69, rule = Life65b2o\$65b2o4\$28b2o3b2o\$26b3obo2b2o\$25bo4bo\$25bo2b2ob4o34b2o\$24b2obobobo2bo34bobo\$25bobobobo39bo\$25bobob2o40b2o\$26bo2\$39b2o\$30b2o7bo\$30b2o5bobo\$37b2o2\$9bo\$9b3o27bo\$12bo26b3o19bo\$11b2o29bo17b3o\$41b2o16bo2b2o\$27b2o29b5o\$2ob2o23bo29b4o\$2obo21b3o30b4o\$3bo21bo33b2obob2o\$3b3o4b2o48bo4bo\$b2o3bo3b2o49b2o2bo3bob2o\$o2b4o44b2o8b4o4b2obo\$2obo15b2o23b2o5bobo9bo\$bo2b3o12bobo22b2o7bo\$bo5bo13bo31bob2o\$2b5o14b2o31bobo\$4bo35bo\$39bobob2o\$39bobobobo\$38b2obobobo2bo\$39bo2b2ob4o\$32bo4bobo4bo\$30b3o4b2o5bobo\$29bo15b2o\$29b2o\$14b2o\$15bo56bo\$15bob2o51bobo\$16bo2bo51b2o\$17b2o\$32b2o13b2o\$32b2o13b2o5\$71b2o\$71b2o\$35b2obo6b2o\$35b2ob3o3bobo\$41bo2bo\$35b2ob3o2b2o26b2o\$36bobo32b2o\$24b2o10bobo18b2o\$24b2o11bo18bobo\$56bo\$55b2o8b2o\$65bo\$66b3o\$68bo!`

And this is a p758+8n. It's size varies a bit strangly as the lower left Snark rounds the the Herschel stopper:

`x = 84, y = 68, rule = Life45b2o3b2o\$45b2o2bob3o\$49bo4bo\$25b2o3b2o13b4ob2o2bo\$23b3obo2b2o13bo2bobobob2o\$22bo4bo20bobobobo\$22bo2b2ob4o17b2obobo\$21b2obobobo2bo21bo\$22bobobobo\$22bobob2o11b2o18bo\$23bo16bo7b2o9b3o\$40bobo5b2o12bo\$36b2o3b2o18bobo\$27b2o7bo24bobo\$9bo17b2o5bobo25bo\$9b3o22b2o\$12bo\$11b2o2\$51b2o24b2o\$2ob2o46bo25b2o\$2obo48b3o\$3bo20b2o28bo\$3b3o4b2o13bo\$b2o3bo3b2o10b3o32b2o\$o2b4o15bo33bobo\$2obo15b2obo33bo\$bo2b3o12bobob2o30b2o7b2o\$bo5bo13bo3bo38b2o\$2b5o14b3o2bo\$4bo19b3o45b2obo\$23bo48b2ob3o\$23b2o30b2o21bo\$53bo2bo15b2ob3o\$35b2o14b5o17bobo\$36bo13bo22bobo\$36bobo12b3o20bo\$37b2o15bo\$51b4o20bo\$13b2o31b2o3bo3b2o16b3o\$12bobo5b2o24b2o4b3o2bo14bo\$12bo7b2o32bob2o14b2o\$11b2o41bo9b2o\$53b2o9b2o\$25bo\$21b2obobo\$20bobobobo18b2o\$17bo2bobobob2o17bo\$17b4ob2o2bo19b3o\$21bo4bo22bo\$17b2o2bob3o22bo31bo\$17b2o3b2o24b2o28b3o\$77bo\$39b3o35b2o\$38b5o\$37bob5o\$36b2ob3o2b2o\$37b3o2bob2o\$38bo6b2o\$42bo2bo\$15b2o25b3o35b2o\$15b2o63bobo\$82bo\$82b2o\$23b2o19b2o\$23bo21bo15bo\$24b3o17bo17bo7b2o3b2o\$26bo17b2o14b3o7b2o3b2o!`
simeks

Posts: 354
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

### Re: Execution of Old Guns by Variable-Speed Firing Squad

simeks wrote:Here's a related p777+8n. The size grows from 6808 with increasing n, then suddenly drops back to 6887 for n = 5 as the lower left Snark "falls off the edge".

Thanks. Added as two separate families: p777 and p817 = (777 + 8 * 5).

simeks wrote:I modified my previous p827 to a p905+8n that breaks a few records.

Thanks. I think the way I have specified the gun gives optimal areas for low extensions but not for N->infinity. Hopefully this should be sufficient but I would appreciate if you could sanity check the results.

simeks wrote:This is a p590+8n. The Herschel stopper used here gives a slightly better bounding box than the two blocks stopper, which could also be relevant here.

Thanks, that one was easy to add and you are right about the p556.

simeks wrote:And this is a p758+8n. It's size varies a bit strangly as the lower left Snark rounds the the Herschel stopper

Yikes, that is strange growth. It seems that the height increases by 1 at extensions of 4, 6 and 9. Drops back by 3 at 13, then increases by 1 every other 2 for 20 and above. I added it in three separate families: p758, p806 and p862. The p862 is below. Again I would appreciate some cross-checking on the areas.

`x = 97, y = 68, rule = B3/S2358b2o3b2o\$58b2o2bob3o\$62bo4bo\$38b2o3b2o13b4ob2o2bo\$36b3obo2b2o13bo2bobobob2o\$35bo4bo20bobobobo\$35bo2b2ob4o17b2obobo\$34b2obobobo2bo21bo\$35bobobobo\$35bobob2o11b2o18bo\$36bo16bo7b2o9b3o\$53bobo5b2o12bo\$49b2o3b2o18bobo\$40b2o7bo24bobo\$40b2o5bobo25bo\$47b2o4\$64b2o24b2o\$64bo25b2o\$65b3o\$37b2o28bo\$38bo\$35b3o32b2o\$35bo33bobo\$69bo\$9bo58b2o7b2o\$9b3o65b2o\$12bo\$11b2o72b2obo\$85b2ob3o\$68b2o21bo\$2ob2o61bo2bo15b2ob3o\$2obo44b2o14b5o17bobo\$3bo45bo13bo22bobo\$3b3o4b2o37bobo12b3o20bo\$b2o3bo3b2o38b2o15bo\$o2b4o57b4o20bo\$2obo15b2o38b2o3bo3b2o16b3o\$bo2b3o12bobo2b2o33b2o4b3o2bo14bo\$bo5bo13bo2bo42bob2o14b2o\$2b5o14b3o2bo40bo9b2o\$4bo19b3o39b2o9b2o\$23bo\$23b2o\$58b2o\$58bo\$59b3o\$62bo\$61bo31bo\$61b2o28b3o\$13b2o75bo\$12bobo5b2o30b3o35b2o\$12bo7b2o29b5o\$11b2o37bob5o\$49b2ob3o2b2o\$25bo24b3o2bob2o\$21b2obobo24bo6b2o\$20bobobobo28bo2bo\$17bo2bobobobob2o25b3o35b2o\$17b4ob2o2bob2o63bobo\$21bo4bo68bo\$19bobo3b2o68b2o\$19b2o15b2o19b2o\$36bo21bo15bo\$37b3o17bo17bo7b2o3b2o\$39bo17b2o14b3o7b2o3b2o!`

EDIT: All this time and I never realised that the H->(1/3)G is actually H->Pi followed by Pi->(1/3)G. This fact allows a nice period tripled p418:

`x = 79, y = 54, rule = B3/S2327b2o11bo\$27b2o10bobo\$39bobo2b2o3bo\$38b2ob2o2bo2bobo\$42bobo3bobo\$38b2obo2b4obo\$38b2obobo3bo\$42bobo3bo15b2o\$43bobo3bo14bo\$44bo3b2o12bobo\$58b2o2b2o\$58b2o2\$35b2o\$35b2o\$20b2o48b2o\$19bo2bo47b2o\$18bob2o\$18bo55b2o\$17b2o55b2o\$32b2o\$14b2o16bo\$14b2o17b3o\$35bo10b2o\$45bobo\$45bo\$44b2o32bo\$28b2o46bobo\$28bo39b2o7b2o\$26bobo40bo\$26b2o10bo27b3o\$38b3o17b2o6bo\$2o39bo16b2o\$2o38b2o\$55b2o\$55bo\$52b2obo\$51bo2bo\$41bobo8b2o\$37b2o2b2o\$37b2o3bo2\$14b2o\$10b2o2b2o\$9bobo12b2o3bo\$9bo14bo3bobo\$8b2o15bo3bobo\$26bo3bobob2o\$24bob4o2bob2o\$23bobo3bobo\$23bobo2bo2b2ob2o\$24bo3b2o2bobo\$32bobo10b2o\$33bo11b2o!`

EDIT2: The recent p436 and p590 gun families are convenient as Herschel factories. Thus I made some smaller pseudo-period guns. The top of the Hall of Pain is now dvgrn's bugbear... p62.

`#C pseudo-period guns at p41, p58 and p59x = 613, y = 86, rule = B3/S23569b2o3b2o\$569b2o2bob3o\$573bo4bo\$569b4ob2o2bo\$569bo2bobobob2o\$572bobobobo\$573b2obobo\$577bo2\$563b2o\$564bo7b2o\$564bobo4bo2bo\$565b2o\$574bo\$266bo11b2o294b2o12bo\$265bobo10b2o293bo14b3o\$257bo3b2o2bobo249b2o72bo\$248b2o6bobo2bo2b2ob2o248b2o71bobo\$248b2o6bobo3bobo325bobo\$73b2o51b2o11bo117bob4o2bob2o84b2o220b2o14bo\$17b2o11bo42bobo50b2o10bobo118bo3bobob2o84bobo219bo\$17b2o10bobo42bo63bobo2b2o3bo109bo3bobo90bo4b2o118b2o3b2o37b2o50b3o\$29bobo2b2o3bo97b2ob2o2bo2bobo6b2o99bo3bobo87b4ob2o2bo2bo114b3obo2b2o37b2o52bo\$28b2ob2o2bo2bobo100bobo3bobo6b2o99b2o3bo88bo2bobobobob2o113bo4bo119bo\$32bobo3bobo12b2o82b2obo2b4obo124b2o79bobobobo116bo2b2ob4o26bo39bo46b2o4b2o\$28b2obo2b4obo13bo26bo56b2obobo3bo126b2o80b2obobo115b2obobobo2bo25b3o36b5o14b2o29b2o4bo\$28b2obobo3bo13bobo25bobo59bobo3bo121b2o88bo117bobobobo28b3o35bo5bo13bo24bobo3b3o2bo\$32bobo3bo12b2o25b2ob2o59bobo3bo119bo2bo205bobob2o67bo2b3o12bobo24bobo4b2o\$33bobo3bo42bo2b2o56bo3b2o120b3o73b2o131bo33b4o33b2obo15b2o25b2o\$34bo3b2o41b2o2b2o45b2o112b3o20b2o14b2o59bo7b2o155b5o33bo2b4o30b2o11b2o\$59b2o70b3o111b5o34bo2bo58bobo5b2o135b2o18b2obo35b2o3bo3b2o24bobo13bo\$19b3o38bo76bo106b2o3bo35b2obo58b2o133b2o7bo60b3o4b2o24bo11bo2bo\$18bo2bo14b2ob2o19bobo68b3o3b2o99b2o4b5o39bo193b2o5bobo60bo31b2o11b3o\$17bo18bo4b2o18b2o75b2o16b2o80b2o3b4o41b2o199b2o58b2obo\$18bo2bo12b2o83b2o16b2o17b2o84b3o28b2o274b2ob2o\$10b2o7b3o12b2obo4bo28bo46bo2bo120b2o30bo89bo96bo139b2obo\$9bo2bo21b2obo2b2o28bo46bob2o5bo116b2o26b3o88bobo96b3o27bo109b2ob3o\$8bob2o25bo2bo24bo5bo45bo8b2o27b2o9b2o76bobo12b2o10bo91b2o99bo26b3o66b2o22b2o21bo\$8bo54b2obo15bo33b2o7bobo26bo2bobobo4b2o76b3o12bobo95b2o104b2o29bo66bo20bo2bo15b2ob3o\$7b2o52b2obob2o13bobo47b2o22b2o2bobo81bob2o14bo95bo135b2o63b3o3b2o14b5o17bobo\$22b2o39bo18bo48bo22bo5b3o80b2o4bo11b2o95b3o118b2o77bo6bo13bo22bobo\$22bo36bobo70b3o20bo6b2o81bo3b2o83b2o24bo91b2ob2o23bo18b2o64bobo12b3o20bo\$23b3o24b2o82bo10b2o8bo88b3o3b2o36b3o44bo116b2obo10bo10b3o15b3o16b2o50b2o3b3o9bo\$25bo11b2o11b2o7b2o83bobo8bo87b2obobo39bo44bo121bo9bobo9bo13bob2o2bo4bo11b2o54bob2o6b4o20bo\$38bo30bo74bo9bob2o84b2o2bobo40bo43b5o14b2o101b3o6bo3bo21b5o4bo70bo3bo5bo3b2o16b3o\$35b3o30bo74b2o8bo3b2o83b2o4bo89bo13bo100b2o3bo5bo3bo21b2ob4o2bo21bob2o46b3o7b3o2bo14bo\$35bo31bob2o7b2o74bo2bobo87bo87b3o12bobo99bo2b4o5bo3bo23b2o5b2o3bo16b2obo46b3o9bob2o14b2o\$66b2o2bo7b2o75b2o2b2o173bo15b2o100b2obo9bobo3b2o21b2ob2o3b2obo77bo9b2o\$67b2obo85b2ob2o173b4o115bo2b3o7bo4bobo20bobobo6bo76b2o9b2o\$68b3o86bobo172b2o3bo3b2o110bo5bo13bo31bob2o\$87b2o69bo172bo2b3o4b2o111b5o14b2o20b3o8bobo\$88bo161bobo78b2obo13b2o106bo35bo2b2o77b2o21bo\$88bobo160b2o81bo13bobo140bobob2o77bo21bobo\$9bo79b2o2b2o37bo118bo75b2o5b2o12bo43b2o97bobobobo77b3o18bobo\$8b3o12b2o68b2o35b3o194bo64bo97b2obobobo2bo34b2o41bo18bo\$7bo2b2o11bo105bo195bobo62bobo98bo2b2ob4o35bo40bo15b2o14bo\$6b2o13bobo92b2o11b2o11bo182b2o15b2o46b2o92bo4bobo4bo39bobo38b2o14bo13b3o\$6bo14b2o10bo71b2o9b2o24b3o198bo138b3o4b2o5bobo38b2o2b2o50b2ob2o8bo\$5bo27b3o7bo38bo23b2o37bo194b3o138bo15b2o13bobo26b2o25b2o22bo3bo2b3o4b2o\$6b3o27bo5bo39b3o15b2o3bo20b2o16b2o138bo49bo5bo36bo103b2o28bo2bo43b2o2bobo3bobob3o20bo2bo3bo\$7bob2obo22b2o5b3o40bo12b2ob2o23b2o31b2o123b3o47b3o38b3o88b2o43bo45b3obo3bo2bobo19b2ob2o8bo\$2o6b3o39b2o32b2o12bo2b2o22bo2bo19b2o9bo127bo15bobo31bo36bo92bo43b2o43b2o6bo3b3o19bo2b2obo3bo3bo\$2o7bo2bo37bo47bo3bo22b2obo2bo24b2obo114bo11b2o11b2o7b3o25b2o3bo7b2o23b2o91bob2o59bo26bob5o3bo3bo18bo4bo3bobo2bo\$10b2o35b2obo48b2obo26bo2bo11bobo3bo4bo2bo113b3o24bobo4b2o2bo29bo8b2o117bo2bo44bo13b3o25b4o4bo4bo19bo3bo4bo3bo\$10b2o34bo2bo44b2o5bo27bobo13b2o9b2o113bo32b4ob2o28bo4bo35b2o11bo75b2o44b3o15bo26bo6bo3bo22b2obo5bo\$47b2o97b2o4bo118b2o33b3o30b2o40b2o8bobo105b2o13b2o2bo13b2o34bo29bo3bo6b2o\$8b3o20b3o71b2o40b2o3b3o101b2o85bob3o32bo11b2o105b2o5b2o6b2o83b3o7bobo\$7bo23bo73bobo38b2o4bo104bo84bobo2bo134b2o20b5o5bob2o93bo\$7bo3b2o18b2o53bo20bo37b2o110bob2o78b2obobob2o133bo22b2obob2o4b4o10bobo10b2o67b2o\$11b2o22b2o50b2o18b2o35bobo3bo107bo2bo113bo10b2o94bob4o15bo5bo2bo2bo2bo11b2o41b2o\$8bo27bo49b2o40b2o3bo10b2o113b2o82b3o29bo9bo2bo94b3obo16b3o2bo2b2ob4o11bo22b2o19bo\$9bo2bo6b2o3bo74b2o27bo3bobo10bo2b2o174b2o8bo42b3o6b2o116b3o7b3o6b2o28bobo17bo15b2o8b2o3b2o\$9b3o7bo3bobo73bobo13b2o12bo3bobo10b3o120b2o40b2o11b2o6b2o27b2o16bo134b2o8bo30bo17b2o14bo9b2o3b2o\$20bo3bobo74bo12bobo13bo3bobob2o7bo121b2o41bo20b2o27bo14bobo107b2obo6b2o24bo31b2o33b3o\$21bo3bobob2o70b2o11bo13bob4o2bob2o130bo38b3o47b3o6bob2o17b2o96b2ob3o3bobo93bo\$19bob4o2bob2o82b2o12bobo3bobo137b3o33bo49bo6b3ob2o17bo103bo2bo17b2o31b2o\$10b2o6bobo3bobo100bobo2bo2b2ob2o132bo2bo7bo3b2o76bo24b3o94b2ob3o2b2o16bobo7b2o22bobo\$10b2o6bobo2bo2b2ob2o56b2o39bo3b2o2bobo133bo2bo6bobo3bo39b2o36b3ob2o20bo95bobo22bobo7b2o24bo\$19bo3b2o2bobo58bo8bo38bobo10b2o120bo2bo6bobo3bo12b2o27bo20b2o16bobo105b2o10bobo18b2o3bo34b2o\$27bobo10b2o43b3o10bo38bo11b2o121bo4b2obobo3bo13bobo23b3o21bobo15bobo4b2o99b2o11bo18bobo\$28bo11b2o43bo10b3o169bo8b2obo2b4obo13bo23bo25bo16bo6bo131bo\$281bobo3bobo12b2o48b2o19b3o131b2o8b2o16b2o\$277b2ob2o2bo2bobo83bo143bo18bo8bo\$278bobo2b2o3bo229b3o12b3o10bo\$266b2o10bobo239bo12bo10b3o\$266b2o11bo!`

EDIT3: The p59 goes back to the top of the pile:

`#C pseudo-period guns at p54 and p62x = 330, y = 83, rule = B3/S2388b2o\$88bobo\$90bo4b2o175b2o\$86b4ob2o2bo2bo108bo11b2o51bobo\$86bo2bobobobob2o107bobo10b2o53bo4b2o\$89bobobobo102bo3b2o2bobo61b4ob2o2bo2bo\$28bo11b2o48b2obobo93b2o6bobo2bo2b2ob2o60bo2bobobobob2o\$27bobo10b2o52bo94b2o6bobo3bobo67bobobobo\$19bo3b2o2bobo168bob4o2bob2o64b2obobo\$10b2o6bobo2bo2b2ob2o49b2o118bo3bobob2o68bo\$10b2o6bobo3bobo54bo7b2o108bo3bobo\$19bob4o2bob2o50bobo5b2o107bo3bobo59b2o\$21bo3bobob2o51b2o114b2o3bo61bo7b2o\$20bo3bobo176b2o60bobo5b2o\$19bo3bobo177b2o61b2o\$19b2o3bo179b2o\$99bo103bo7b2o\$100bo110b2o3b2o\$98b3o114b2o9b2o\$23bo8b2o58b2o95b2o26bo7bo2bo\$23b2o7b2o58bo95b2o4bo31b2obo\$22b3o14bo7b2o44b3o83b2o6b2o3b2o35bo46b2o\$17bobo2bo15b2o6bo2bo19b2o24bo83b2o7b2o3b2o34b2o36b2o7bo\$17bobob2o15bobo6b2obo19bo118bo4bo19b2o50bobo8b3o\$2o15b3o30bo17bo146bo37b2o13bo10bo\$2o48b2o16b5o14b2o123b3o39bo\$35b2o36bo13bo112b2o10bo39bo\$36bo33b3o12bobo112bobo49b5o14b2o\$33b3o33bo15b2o115bo54bo13bo\$21b2o10bo35b4o129b2o50b3o12bobo\$21bobo43b2o3bo3b2o2b3o170bo15b2o\$23bo42bo2b3o4b2o2bo172b4o\$23b2o41b2obo11bo169b2o3bo3b2o\$69bo180bo2b3o4b2o36bo\$69b2o179b2obo42bobo\$253bo43b2o\$253b2o\$77b2o\$78bo\$75b3o183b2o\$75bo186bo\$259b3o\$259bo\$126bo\$127bo\$125b3o\$41bo42bo54b2o\$41b3o38b3o54bo\$44bo21bo14bo55bobo107b2o\$31bo11b2o11b2o7b2o14b2o54b2o107b2o\$29b3o24b2o7bobo180bo\$22bo5bo\$20bobo5b2o45b3o46bo160b2o\$13b2o6b2o49bobobobo43b3o105bo42bo11bobo40b2o\$14bo56b2obo3bo42bo108b3o38b3o11bo42bo\$14bob2o54bobo2b2o42b2o110bo36bo55bobo\$15bo2bo20bobo28bo5bo143bo11b2o11b2o23b2o54b2o\$16b2o21bobobo26b2obo2bo13b2o15b3o30bo69bo7b3o24b2o\$31b2o11b2o26b2obo14b2o15bo4bo25bobo70bo5bo\$31b2o10bo23b2o39bo3b2o25b2o68b3o5b2o94bo\$66bobo44b2o87b2o107b3o\$66bo43bo2bo89bo27bo3bo40bo33bo\$65b2o10b2o32b2o20b2o68bob2o22bo2bob3o39b2o32b2o\$40bo3b2o32bo53bo2bo68bo2bo24bobobo38bo3bo\$39bobo3bo29b3o9b2o44b2o70b2o23bo44bobo2bo48bo\$38bobo3bo12b2o16bo11bo20b2o110b2o7b2o44b3o2bo34b2o10bobo\$34b2obobo3bo13bobo28bo20bo110b2o8bobo3bo19b2o58b2o10b2o\$34b2obo2b4obo13bo27b2o17b3o6bob2o17b2o92bobo22bobo57bo\$38bobo3bobo12b2o45bo6b3ob2o17bo118bo55bo\$34b2ob2o2bo2bobo65bo24b3o114b2o10b2o43bo10b2o\$35bobo2b2o3bo67b3ob2o20bo89bo3b2o32bo44b2o7bo2bo\$23b2o10bobo77bobo110bobo3bo29b3o9b2o34bo2bo6b2o\$23b2o11bo78bobo4b2o103bobo3bo12b2o16bo11bo20b2o14bobo\$116bo6bo99b2obobo3bo13bobo28bo20bo15bo\$120b3o100b2obo2b4obo13bo27b2o17b3o6bob2o17b2o\$120bo106bobo3bobo12b2o45bo6b3ob2o17bo\$223b2ob2o2bo2bobo65bo24b3o\$224bobo2b2o3bo67b3ob2o20bo\$212b2o10bobo77bobo\$212b2o11bo78bobo4b2o\$305bo6bo\$309b3o\$309bo!`
chris_c

Posts: 851
Joined: June 28th, 2014, 7:15 am

### Re: Execution of Old Guns by Variable-Speed Firing Squad

chris_c wrote:Again I would appreciate some cross-checking on the areas.

Let me get back to that! I've been busy learning some Python and working on a Golly script...

Just wanted to post this nice p392+8n gun made possible by your discovery here:

`x = 66, y = 59, rule = Life20b2o11bo\$20b2o10bobo\$32bobo2b2o3bo\$31b2ob2o2bo2bobo\$35bobo3bobo12bo\$31b2obo2b4obo11b3o\$31b2obobo3bo12bo\$35bobo3bo11b2o\$36bobo3bo\$37bo3b2o4\$28b2o\$28b2o30b2o\$13b2o45b2o\$12bo2bo\$11bob2o\$11bo\$10b2o\$25b2o\$25bo\$26b3o29b2obob2o\$28bo10b2o17b2ob2obo\$4bo33bobo\$2b5o14b2o15bo\$bo5bo13bo15b2o\$bo2b3o12bobo\$2obo15b2o\$o2b4o\$b2o3bo3b2o\$3b3o4b2o\$3bo\$2obo\$2ob2o2\$29bo\$11b2o16b3o\$12bo19bo\$9b3o19b2o4bo27bo\$9bo27bobo23bobo\$37b2o25b2o2\$50bo\$49bobo\$48bobo\$41b2o3b3o2b3o3b2o\$34b2o5bobobo3b2o3bo2b2o\$34b2o7bobo2bo2b2obo\$43b2o3bobo2bo\$47b2ob2o\$30bo\$29bobob2o\$29bobobobo\$28b2obobobo2bo\$29bo2b2ob4o\$29bo4bo\$30b3obo2b2o\$32b2o3b2o!`
simeks

Posts: 354
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

### Re: Execution of Old Guns by Variable-Speed Firing Squad

chris_c wrote:EDIT3: The p59 goes back to the top of the pile:
...
#C pseudo-period guns at p54 and p62...

That p54 is a bit oversized:

`x = 123, y = 71, rule = B3/S2398bo\$84b2o10b3o\$83bo2bo8bo\$82bobobo8b2o\$28bo11b2o40bobob2o\$27bobo10b2o38b2obo3bo5bo\$19bo3b2o2bobo50bo2bob2o5bobo\$10b2o6bobo2bo2b2ob2o46b2obobobo2bo5b2o2b2o\$10b2o6bobo3bobo50bo2bobobob2o9b2o\$19bob4o2bob2o47b2o6bo\$21bo3bobob2o49b5obo\$20bo3bobo53bo4bo\$19bo3bobo55b4o\$19b2o3bo57bo\$35b2o37bo5bo\$35b2o37b3o3b2o\$31b2o44bo22b2o\$30bo2bo42b2o21b2o\$30b2ob2o66bo\$32bo14b2o\$46bo2bo18b2o\$9b2o36b2obo17bo\$2o4b2obo40bo14b2obo49b2o\$2o4bo2bo40b2o13bo2bob2ob3o42bo\$35b2o29b2o7bo44bo\$36bo31b2o3bo3b2o21b2o14b5o\$4bo2b2o24b3o32bo15b2o15bo13bo\$4bobo14b2o10bo35b2obo2bo8bobo14bobo12b3o\$5bo15bobo48bo6bo6bo15b2o15bo\$23bo24b2o17b5o5bobo6b2o28b4o\$6b2o15b2o23bobo16bo10b2o31b2o3bo3b2o\$6bobo39bo20bo41b2o4b3o2bo\$5b2obob2o56b2o49bob2o\$5b2obo2bo107bo\$5b2obobo107b2o\$8b2o2\$110b2o\$110bo\$11bo99b3o\$12b2o99bo\$11b2o\$94b2o\$95b2o\$41bo42bo9bo\$41b3o18bo19b3o\$44bo12bo3bo19bo\$31bo11b2o11bo4bo3b2o14b2o\$29b3o24bo2bo2bo3bo\$28bo28b4o3bobo\$28b2o29b2o3b2o\$13b2o\$14bo\$14bob2o\$15bo2bo75b3o\$16b2o65b2o9bo2bo8bo\$82bobo8bo2bo7bobo\$68b2o12bob2o7b3o9b2o\$29bo2bo36bo12bo11b3o\$29b2o22bo12b3o6bob2o4bo2bo9b2o\$29b6o18bo12bo6b3ob2o4bobo10bo\$34bo5bo3b2o8bo17bo24b3o\$39bobo3bo27b3ob2o20bo\$34bo3bobo3bo12b2o16bobo\$35bobobo3bo13bobo15bobo4b2o\$35b3o2b4obo13bo16bo6bo\$35bo2bobo3bobo12b2o19b3o\$34b2ob2o2bo2bobo33bo\$35bobo2b2o3bo73bo\$23b2o10bobo82bo\$23b2o11bo81b3o!`

A p102 glider stream also allows p6 reflectors, so I kind of suspect there's a similar trick for p51, using some inserter or other -- just haven't found a compatible glider source yet. Here's an alternate Herschel factory for p102:

`x = 89, y = 76, rule = B3/S2328bo11b2o\$27bobo10b2o\$19bo3b2o2bobo\$10b2o6bobo2bo2b2ob2o\$10b2o6bobo3bobo\$19bob4o2bob2o\$21bo3bobob2o\$20bo3bobo10b3o\$19bo3bobo10bo2bo\$19b2ob2o12bo3bo\$35bo\$36b2o3b2o\$38bo5bo\$39bo4bo\$38bo5bo\$10bo25b2o3b2o4b2o\$9b3o23bo10bo2bo\$8bo2b2o23bo3bo6b2obo\$2o5b2o3b2o25bo10bo\$2o6bobo2bobo19bo3bo10b2o\$9b2o3b2o19bo\$36bo\$33b3o\$21b2o10bo\$21bobo\$23bo\$23b2o7\$57bo\$56b2o\$56bobo14\$26bo23bo\$27bo22b3o\$25b3o25bo\$40bo11b2o11b2o11bo\$38b3o24b2o9b3o\$37bo38bobo\$37b2o37bo\$22b2o63bo\$23bo62bobo\$23bob2o59bobo\$24bo2bo59bo\$25b2o14bo\$39b2ob2o\$40bo2bo\$41b2o\$37b2o\$37b2o\$49bo3b2o\$48bobo3bo\$47bobo3bo12b2o\$43b2obobo3bo13bobo\$43b2obo2b4obo13bo\$47bobo3bobo12b2o\$43b2ob2o2bo2bobo\$44bobo2b2o3bo\$32b2o10bobo\$32b2o11bo!]`

dvgrn
Moderator

Posts: 4906
Joined: May 17th, 2009, 11:00 pm