## Breeders

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

### Re: Breeders

Kiran wrote:What is the precise definition of an "engine"?
My "slab" definition is, at least, well defined in the sense that there is no ambiguity.

In this case, the definition of "engine" is an object which produces other objects at any rate, as long as it's not zero. Breeders can be a lot of things, but my definition is simply

"Any two stage process of objects producing other objects unboundedly"

This makes linear-growth patterns NOT breeders, and, gott's dots a breeder.
Even logarithmically producing caber tossers is a breeder.

Also, has it been proven impossible for exponential growth to exist in Conway's game of life? Linear is steady growth, quadratic is the growth rate increases, and logarithmic is where it decreases. But is exponential possible?

gmc_nxtman

Posts: 1147
Joined: May 26th, 2015, 7:20 pm

### Re: Breeders

But is exponential possible?

No, a finite pattern's building box cannot expand faster then the speed of light in any life-like cellular automaton.
Therefore no pattern can grow in population faster then the filled X*Y building box in the rule B12345678/S012345678.
Therefore the upper limit for the population of a pattern that fits in an X*Y building box is X*Y+t*2(X+Y)+t^2*4 a quadratic polynomial.
You can check the formula by running solid rectangles in that rule.
There is another explanation here:
http://www.conwaylife.com/wiki/Talk:Infinite_growth
EDIT:
Define "creating other objects."
You could say the LWSS creates a tail spark, so is a LWSS gun a breeder?
For the same reason you can say this puffer is a breeder:
`x = 139, y = 190, rule = B3/S2341bo13bo\$40b3o11b3o\$40bob2o4bo5bob2o14bo13bo\$41b3o3b3o5b3o13b3o11b3o\$41b2o3b2o2bo4b2o13b2obo5bo4b2obo\$48b3o19b3o5b3o3b3o\$71b2o4bo2b2o3b2o\$77b3o2\$54b3o\$53bo2bo\$56bo14b3o\$56bo14bo2bo\$53bobo15bo\$45b2o24bo\$45b2o25bobo\$81b2o\$39bo41b2o\$38b3o7bo\$37b2obo5b2ob2o37bo\$37b3o6b2ob2o28bo7b3o\$38b2o6b2ob2o26b2ob2o5bob2o\$48b2o4bo5bo16b2ob2o6b3o\$53b3o3b3o15b2ob2o6b2o\$52b2obo3bob2o4bo5bo4b2o\$52b3o5b3o3b3o3b3o\$53b2o5b2o3b2obo3bob2o\$65b3o5b3o\$46b2o9bo8b2o5b2o\$47b2o7b3o\$46bo8bo3bo10bo9b2o\$55bo3bo9b3o7b2o\$22b3o11b3o29bo3bo8bo\$21bo2bo10bo2bo12b2o2bo3bo8bo3bo\$24bo4b3o6bo13b2obo3bo29b3o11b3o\$24bo4bo2bo5bo12bo3b2ob2o8bo3bo2b2o12bo2bo10bo2bo\$21bobo4bo3bo2bobo18bobo9bo3bob2o13bo6b3o4bo\$28bobob2o23bo10b2ob2o3bo12bo5bo2bo4bo\$29b2ob2o35bobo18bobo2bo3bo4bobo\$30b3o37bo23b2obobo\$23bo70b2ob2o\$22b3o70b3o\$21b2obo6bo72bo\$21b3o6b2o26bo44b3o\$22b2o7bo24b2ob2o35bo6bob2o\$28bo27b2ob2o8bo26b2o6b3o\$26b4obo18bo6b3o7b2ob2o24bo7b2o\$27bo2bo18b3o15b2ob2o27bo\$28b3o18bob2o15b3o6bo18bob4o\$50b3o23b3o18bo2bo\$38b3o9b3o22b2obo18b3o\$3bo13bo19bo2bo9b2o23b3o\$2b3o11b3o21bo34b3o9b3o\$b2obo5bo4b2obo21bo35b2o9bo2bo\$b3o5b3o3b3o19bobo47bo\$2b2o5bob2o3b2o69bo\$88bobo18b3o11b3o\$35bo7b3o3b3o56bo2bo10bo2bo\$36b2o5bo2bobo2bo59bo4b3o6bo\$12bo22b2o6bo7bo24b3o3b3o7bo18bo4bo2bo5bo\$10b2o4b3o24bo7bo24bo2bobo2bo5b2o16bobo4bo3bo2bobo\$16bo2bo24bobobobo25bo7bo6b2o22bobob2o\$13bo2bo59bo7bo31b2ob2o\$8bo7bo30bo29bobobobo33b3o\$7bo3b2o4bobo26b3o8b2o51bo\$7bo37b2ob2o7bobo20bo28b3o\$8bo36b2ob2o8b2o9b2o8b3o26b2obo6bo\$18b3o3b3o19bobo19bobo7b2ob2o25b3o6b2o\$bo9bo5bo2bo3bo2bo19bo20b2o8b2ob2o26b2o7bo\$3o6b3o8bo3bo54bobo33bo\$ob2o5bo10bo3bo55bo32b4obo\$b3o5bobo5bobo5bobo17b2ob2o7b2o43bo5bo5bo2bo\$b2o7b2o28bo3bo5bo5bo2bo41b3o3b3o5b3o\$21b3o17b2o2bo3bo7b2o10b2o7b2ob2o17b2obo3bob2o14b3o\$21b3o16b2o4b3o19bo2bo5bo5bo3bo12b3o5b3o14bo2bo\$21bobo22bobo20b2o7bo3bo2b2o14b2o5b2o15bo\$22bo24bo31b3o4b2o37bo\$22bo24bo31bobo23bo20bobo\$8bo71bo23b3o\$8b2o20bo49bo22bo3bo\$7bobo10bo3bo4b3o71bo3bo\$20b2ob2o4bob2o64bo\$21bobo6b3o63b3o4bo3bo11b3o\$13bo16b2o63b2obo4bo3bo11bo\$13b2o7bo72b3o5b2ob2o12bo\$12bobo7bo73b2o6bobo\$22bo82bo\$45bo68b3o\$18bo27b2o66bo\$18b2o25b2o35bo32bo\$17bobo60b2o\$81b2o\$15bo93b3o\$14b3o6bo85bo\$14bob2o5b2o32b2o51bo\$15b3o4bobo22b2o8bobo\$15b3o29b2o9b2o9b2o48b3o11b3o\$15b2o51bobo8b2o23b3o11bo2bo10bo2bo\$68b2o9b2o23bo16bo4b3o6bo\$105bo15bo4bo2bo5bo\$118bobo4bo6bobo\$47bobo7b2o71bo\$47bobo6bo2bo64bo4bo\$46bo10b2o10b2o7bobo43bo\$46b3o19bo2bo6bobo39bo5bo\$42b2o3b3obo17b2o10bo37b3o3b3o\$42b2o6b2o27b3o36b2obo3b3o\$50b2o24bob3o3b2o20b2o10b3o4b2o\$38bo37b2o6b2o20b2o11b2o5b5o\$38b2o36b2o34bo15b3o\$37bobo71b3o\$110b2obo4bo6bo\$89b3o18b3o4b3o5bo\$89bo20b3o4bob2o6bo7b3o\$90bo19b3o5b3o6b2o6bo2bo\$111b2o5b2o6b2o7bo\$126bo8bo\$115bo20bobo\$114b3o\$113bo3bo3\$93bo13bo5b2ob2o\$46b2o5bo38b3o11b3o6bo12b3o\$46b2o5b2o2b2o33bob2o4bo5bob2o18bo\$52bobo2bobo20b2o11b3o3b3o5b3o19bo\$58b2o9b2o9b2o11b2o3b2o2bo4b2o4bo3bo\$68bobo3b3o23b3o9bobobobo\$68b2o4bo38b5o5b3o\$75bo37b2ob2o5bo\$114bobo7bo\$106b3o5b3o\$105bo2bo\$108bo9b3o\$108bo9bo\$105bobo11bo\$97b2o\$97b2o23bo\$121b3o\$91bo24b2o3bob2o\$90b3o7bo15b3o3b3o\$89b2obo5b2ob2o19b3o\$89b3o6b2ob2o19b2o\$90b2o6b2ob2o\$100b2o4\$69b2o32b3o\$70b2o31bo\$69bo28b2o4bo4bo\$58b2o39b2o7b3o\$57bo3bo36bo9bob2o\$46b2o8bo5bo7bo38b3o\$46b2o8bo3bob2o4bobo38b2o\$56bo5bo3b2o12b2o21b2o\$57bo3bo4b2o12b2o22b2o\$58b2o6b2o35bo\$68bobo\$70bo4\$84b2o\$85b2o\$84bo5\$77bo\$77b2o\$76bobo6\$69b2o\$70b2o\$69bo\$58b2o\$57bo3bo\$46b2o8bo5bo7bo\$46b2o8bo3bob2o4bobo\$56bo5bo3b2o12b2o\$57bo3bo4b2o12b2o\$58b2o6b2o\$68bobo\$70bo!`

Or even this oscillator:
`x = 402, y = 145, rule = B3/S23349bo\$347b3o\$346bo\$346b2o\$151bobo30b2o\$151bo3bo28bobo157bo\$135bo19bo23b2o4b3o12bo142bobo\$100bo32b4o14bo4bo4b2o12b4o2bo4b3o8b4o4bo136bo3bo\$98b3o31bobob2o4bo12bo5b2o12b3ob2o4b3o8b4o5bo137b3o\$97bo29b2o2bo2bob3o5b2obo3bo3bo28bobo9bo2bo9b2o130b2o3b2o\$97b2o9b2o17b2o3bobob2o5b4obo2bobo30b2o10b4o9b2o\$74bo33b2o23b4o6b2o2b2o39bo8b4o122b2o\$74b3o58bo27b2o8b2o12bo12bo93bo29bo\$77bo85b2o8b2o12b3o101b4o29bobo6bobo\$65b2o9b2o95b2o115b4o16bo14b2o5bo2bo4bo\$65b2o106bo11b2o96b2o5bo2bo8b2o5bobo19b2o5b2o\$92b2o3b2o54b2o9b2o6bobo10bobo95b2o5b4o14bo3b2o15b2o3bo9bo\$92bo5bo54b2o7bob2o6bob2o9bo105b4o3b2obobo4bo3b2o17b2o11bo\$162bo131bo2bo3b2o5bo3b2o18bo2bo\$93bo3bo51bo12bo17bo117bo10bobo3b2o16bobo18b2o\$94b3o34b2o16b2o11bo2bo7b2o5bobo98b2o15bo2bo8bo4bobo37bo\$64b3o11b3o50b2o15bobo12b2o8b2o5b2o98bobo34bo37bobo10bo\$63b2ob2o9bo3bo25b5o92b2o73b3o35b2o37b2o9bobo\$63b2ob2o8bo5bo23bob3obo79b3o2bo5bo3bo71b2o86b2obo7b2o\$63b5o8bo5bo24bo3bo76bo3bo9bo5bo73b2o7bo61b2o12b2ob2o6bobo\$62b2o3b2o10bo28b3o75bobo4bo8bo3bob2o2b2o67b3o6bo61b2o13b2obob3o6bo\$77bo3bo27bo21bo52b2o16bo5bo3b2o76b3o2b3o56bo12bobo2bo2bo2bo2bo7b2o\$78b3o17bo30b2ob2o7b2o41b2o17bo3bo87bo72bo4b2o6bo7b2o\$64b2o13bo16bobo43b2o40b2o18b2o75b2o13bo81bobo\$63b5o29b2o29bo5bo6bo37b2o5bobo92b2o95b2o\$63bo47bo66bobo7bo120b2o\$65b3o12b3o10bo17bo16b2obob2o43bo99b2o24bo4b2o42b2o10bobo\$67bo12b3o9b3o15bobo63b3o99bo19b2ob5o6b2o39b2o10b2o\$65b2o12bo3bo7b5o13b2ob2o46b2o13bo93bo6bobo18bo4b2o2bo5b3o5b2o44bo\$65b2o6bobo14b2o3b2o6b2o3bo5bo19b2o24bo4bo9b2o92bobo4b2o18bo8b2o5b2o6b2o40b2o\$73b2o3b2o3b2o6b5o7b2o6bo21bobo15bo6bobo4bobo61b2o39bobo23bo7bo4b2o43b2o6b2o22b2o\$74bo16bo3bo12b2o3b2o19bo16bobo4b2o5b2o5b3o54b2o26b2o11bo2bo22bo12b2o41bob2o30bo\$60b2o3b2o25bobo38b2o17bobo17b3o33b2o16b2o10bo4bo13b2o11bobo14b2o8bo54bo16bo7bo6bobo\$60bobobobo3b2o19b3o39b3o3b2o11bo2bo52b2o8b2o5b3o10bo4bobo23bobo14bobo9b2o52bo15b4o5bobo4b2o\$61b5o4b2o18b2o5bo14bo21b2o3b2o11bobo63b2o6b2o10bo7b2o21bo16bo65bo2bo7b2o2bo2b2o8b2o\$62b3o26bo4bo15bo19bo18bobo11bo63b2o2b2o11b2o4b2o31b2o66b2o8b2o2b2o11b2o\$63bo24b3o5b3o14bo37bo12bo5b2o3b2o52b2o2bo2b2o8b2o4b2o106b2o10bo7b2o\$88bo75b3o4b5o58b4o5bobo113b3o10bo4bobo\$83b2o87b3o41b2o17bo7bo116b2o10bo4bo\$83bo26b2o21bo17bobo19bo42b2o136b2o7b2o\$84b3o14bo8b2o20b3o16b2o200bobo7b2o\$60b2o17bo6bo10b2o2b2ob3o24b5o16bo63bo60b2o74bo\$61bo18b2o15b2o4b4o23b2o3b2o78bobo8bobo3bo44bobo72b2o\$58b3o18b2o20b2o28b5o71b3o5bo2bo7b2o3b2o45b3o4b3o75b2o\$58bo72bo3bo70bo3bo5bo2bo7bo3bobo21b2o22b2o4bo78bo\$34bo30bo66bobo32b3o5b2o28bo5bo43bo20b2o8bo77bobo5b2o\$32b3o30b3o65bo28b2o3bo7bo30bo3bo5bo2bo24b2o7bobo20b3o86b2o5bobo\$31bo36bo93bobo3bo7b3o28b3o6b2o26bobo6b2o118b3o12bo\$31b2o9b2o12b2o9b2o5bo88b3o12bo28b3o24bo4b2o6bo37b3o86b3o8b4o\$42b2o12b2o16b3o56b2o29b2o67bobo2bo2bo2bo2bo13bo15b2o8bo85b3o8b4o9b2o\$71bo5bo55b2o26b2o10b2o58b2obob3o6bo12bo16b2o7bo6b2o69b2o6bobo9bo2bo9b2o\$71bo4b2o83b3o9b2o58b2ob2o6bobo13b3o30bobo67bobo6b2o10b4o5bo\$233b2obo7b2o8bobo36bo68b3o11bo8b4o4bo\$80bo124b3o15b2o8bobo18b2o106b2o11bo12bo\$43bo23b2o3b2o6bo81b2o40b2ob2o3bo9bobo9bo20bo109b2o8b3o\$29bo13bo24b5o6bo82b2o40b2ob2o4b2o7bo55b2o84b3o\$28b3o11bobo24b3o22bo109b5o3b2o7b2o54bobo\$27b5o9b2ob2o24bo24b2o69b2o35b2o3b2o69bo\$26b2o3b2o7bo5bo6b2obob2o16b2o3b2o11b2o69bobo100bo20b2o9b3o9b2o31b2o17b2o\$27b5o11bo32bo5bo52bo31bo99b4o18bo10bo9bo2bo30b3o17b2o\$27bo3bo8b2o3b2o6bo5bo75bobo44b3o81b2obobo6bobo6bobo5bo5bo7bo34b2obo\$28bobo46bo3bo53b2o45bo82b3obo2bo3bo3bo6b2o4b4o12bo35b3o44b2o\$29bo24b2ob2o19b3o102bo82b2obobo4bo15bobob2o11bo36bo33b3o2bo5bo3bo\$42b4o10bo92bo8b2o14b2o19bo61b2o8b4o4bo4bo10bo2bob3o11bo2bo5b2o55bo3bo9bo5bo3b2o\$41b2o2bo23bo77bobo6bo2bo14bo20b2o11b2o46bobo9bo7bo14b2obob2o14b2o5bobo52bobo4bo8bo3bob2o2b2o\$27bo13b2obo22b2o66bo10bobo7bo3bo2b2o7bobo9bo5b2o4b2o10bo47bo19bo3bo8b3ob4o24bo50b2o16bo5bo\$25b2ob2o38b2o24bobo37bo10bo2bo7bo2b2o2b3o6b2o10bobo3b2o4b3o10b3o43b2o21bobo7bobo4bo25b2o49b2o17bo3bo\$34bo7b2o37b2o12b2o37b3o9bobo16b2obo16bobo2b2o4b2o13bo76bo83b2o18b2o\$24bo5bo4bo6bo38bo13bo46b2o3bobo4b3o8bo2bo16bo2bo6b2o7b2o81b2o78b2o5bobo\$33b3o46b3o36bobo17bobo5bo15b2obo16bobo7bo8bobo159bobo7bo\$24b2obob2o22b3o28bo36b2o18bo21b3o8b2o8bobo19bo159bo\$42b2obob2o3bo3bo12b2o3b2o33bo12bo17b2o21b2o8bobo8bo21b2o157b2o\$36bo5bo5bo12b2o8b3o36b2o61bo\$35bo7bo3bo3bo5bo3b2o7bo3bo34b2o61b2o\$35b3o6b3o4b2o3b2o13bobo169b2o58b2o\$72bo169b4o56b4o\$242b2ob2o55b2ob2o\$24b2o28bo11bobo5b2o65b2o58b2o41b2o15b2o41b2o15b2o\$25bo27bobo11b2o5bo64b2ob2o55b2ob2o55b2ob2o55b2ob2o\$22b3o28bobo11bo7b3o61b4o56b4o56b4o56b4o\$22bo30bo23bo62b2o58b2o58b2o58b2o\$53bo67bo59bo59bo59bo\$44b2o7bo2bo63b3o3b2o52b3o3b2o52b3o3b2o52b3o3b2o38bo\$35bo8b2o8b2o4bo2b2o54b5ob3o9b3o39b5ob3o9b3o39b5ob3o9b3o39b5ob3o9b3o25bo\$31b2o2b2ob3o18bo3b2o2b2o54b3o9bo3b2o42b3o9bo3b2o31bobo8b3o9bo3b2o31bobo8b3o9bo3b2o24b3o\$31b2o4b4o18bo7b2o54b3o9bobo2b2o41b3o9bobo2b2o31b2o8b3o9bobo2b2o31b2o8b3o9bobo2b2o\$35b2o23b4o60bo9bo5bo43bo9bo5bo32bo10bo9bo5bo32bo10bo9bo5bo21b2o\$21bo101bo11bo2b2o43bo11bo2b2o43bo11bo2b2o43bo11bo2b2o22b2o\$20bo114bo59bo59bo59bo\$20b3o114bo59bo59bo29bobo27bo\$70bo2bo56bo2bo56bo2bo56bo2bo34b2o20bo2bo\$12bo61bo6b2o51bo6b2o51bo6b2o51bo6b2o25bo25bo6b2o\$12bobo55bo3bo4b2ob2o46bo3bo4b2ob2o46bo3bo4b2ob2o46bo3bo4b2ob2o46bo3bo4b2ob2o\$2o11bobo55b4o4b4o48b4o4b4o48b4o4b4o48b4o4b4o48b4o4b4o\$2o11bo2bo63b2o58b2o58b2o58b2o20bobo35b2o\$13bobo267b2o\$12bobo268bo\$12bo50b2o181b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o\$63bo28bo153bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo\$55bo5bobo23b3ob2o2b2o151bo9bo9bo9bo9bo9bo9bo9bo9bo9bo\$16bo37b2o5b2o24b4o4b2o151b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o\$16bo21b2o13b2o36b2o7b2o\$15bobo20b3o11b3o45b2o\$14b2ob2o21b2obo9b2o3b2o\$13bo5bo20bo2bo10b2o22bo\$16bo23b2obo11bo6b3o13b3o\$13b2o3b2o11b2o5b3o10bo12bo3b2o11bo\$30bobo5b2o9bobo11bo3bobo10b2o\$30bo19b2o14b3o31b3o\$15bo13b2o35b2o22b3o\$15bo53b2o19bo9bobo\$14bo53b3o20bo7b5o\$56b2o40b2o3b2o\$56b2o40b2o3b2o\$16b2o50b2o20b3o\$16b2o27bo22b2o12b3o7bo\$44b4o33bo3bo5bo6b2o\$32b2o9b2obobo6bobo22bo5bo9b2obo\$32b2o8b3obo2bo3bo3bo23bo3bo10bo\$43b2obobo4bo12b2o14b3o\$44b4o4bo4bo8b2o14bo2bo11b3obo\$45bo7bo29b3o15bo\$53bo3bo25b2obo14bo\$55bobo26bobo\$85bo3\$82b2o3b2o7b2o3b2o\$82bobobobo9b3o\$83b5o9bo3bo\$84b3o11bobo\$85bo13bo4\$98b2o\$87b2o9b2o\$87bo\$88b3o\$90bo!`
Kiran Linsuain

Kiran

Posts: 284
Joined: March 4th, 2015, 6:48 pm

### Re: Breeders

You say an engine is a "pattern producing other patterns", but how can you define which is the producer and which the produced?
Kiran Linsuain

Kiran

Posts: 284
Joined: March 4th, 2015, 6:48 pm

### Re: Breeders

Kiran wrote:Another problem with your definition

My definition has many flaws.

By the way, I had an interesting idea. Has anyone created a superstring-based breeder? By that, I mean a wickstretcher which stretches a string extender; however, I don't think any non-lightspeed superstrings exist with a string extender, let alone a non-agar debris-laying one....
Last edited by gmc_nxtman on June 24th, 2015, 12:29 pm, edited 1 time in total.

gmc_nxtman

Posts: 1147
Joined: May 26th, 2015, 7:20 pm

### Re: Breeders

By the way, I had an interesting idea. Has anyone created a superstring-based breeder? By that, I mean a wickstretcher which stretches a string extender; however, I don't think any non-lightspeed superstrings exist with a string extender, let alone a debris-laying one....

Like this?
`x = 27, y = 27, rule = s23/b318bo8b\$17b3o7b\$12b3o4b2o6b\$11bo2b3o2bob2o4b\$10bo3bobo2bobo5b\$10bo4bobobobob2o2b\$12bo4bobo3b2o2b\$4o5bobo4bo3bob3o2b\$o3b2obob3ob2o9b2ob\$o5b2o5bo13b\$bo2b2obo2bo2bob2o10b\$7bobobobobobo5b4o\$bo2b2obo2bo2bo2b2obob2o3bo\$o5b2o3bobobo3b2o5bo\$o3b2obob2o2bo2bo2bob2o2bob\$4o5bobobobobobo7b\$10b2obo2bo2bob2o2bob\$13bo5b2o5bo\$b2o9b2ob3obob2o3bo\$2b3obo3bo4bobo5b4o\$2b2o3bobo4bo12b\$2b2obobobobo4bo10b\$5bobo2bobo3bo10b\$4b2obo2b3o2bo11b\$6b2o4b3o12b\$7b3o17b\$8bo!`

EDIT:
And this:
`x = 1487, y = 159, rule = 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Last edited by Kiran on June 24th, 2015, 12:38 pm, edited 1 time in total.
Kiran Linsuain

Kiran

Posts: 284
Joined: March 4th, 2015, 6:48 pm

### Re: Breeders

Paul Tooke wrote:The "super breeders?" topic had the side effect of sparking off some discussion of what the definition of a breeder is. My dissatifaction with the published definitions led me to create a few breeders which challenge these definitions. I have started this topic to share these patterns and hopefully to encourage others to produce similar patterns and/or share their opinions of what a breeder is.

My understanding of the term "breeder" as a class of patterns is: "Any object which creates an unbounded sequence of objects which in turn create an unbounded sequence of objects." Such a pattern may grow quadratically, but I don't see why this is a necessity. Furthermore the classification of existing breeders into four types (MMM, MMS, MSM or SMM) as described in several definitions on the web can mislead the casual reader into thinking that these are the only types possible. They aren't.

As an example of sub-quadratic breeding, I have produced what I would call an SSS-type breeder. The pattern is too large to post, but can be downloaded from here.

The pattern consists of a "Pianola" Universal Constructor complete with an instruction tape for the repeated construction of a slide gun which extends a line of beehives.

The Pianola is a simplified Universal Constructor inspired by Andrew J. Wade's Gemini constructor. It comprises two mirror-image gangs of seven glider guns. Each gun consists of two stable reflectors, one by Paul Callahan, the other by Stephen Silver. These circulate a stream of gliders, duplicating them at the Northern end. The gliders are timed to create volleys of gliders matching those produced by the Chapman-Greene construction arm, but reflected, so that the guns are on the opposite side of the stream.

The slide gun is a Spartan (i.e. built from easily constructible still lifes) gun that fires a salvo of gliders at a block. The result of the collision is to extend a line of beehives, move the block 10 cells diagonally and to send back a glider which is then duplicated several times to produce the next glider salvo. The salvo+block reaction is a variation of that used in Dean Hickerson's "Sqrtgun 10.1". The line of beehives grows at a rate of O(sqrt(t)) and therefore the entire pattern grows at a subquadratic rate.

EDIT: to be ...

Is it possible to make a type SSS breeder that grows quadratically?
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gameoflifemaniac

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### Re: Breeders

gameoflifemaniac wrote:Is it possible to make a type SSS breeder that grows quadratically?

I'd say yes. An example would be a universal constructor that repeatedly builds an SS pattern, like blockstackers.
If the blockstackers get in the way somehow, you could make a gemini which creates a blockstacker each time it dupliactes itself. You could also program it to leave the previous constructor section, for slightly more growth. (Extra linear growth, not extra quadratic growth.)
Also, does the blockstacker count as an SS object? Instead of an S(M/S) object? Because after infinity generations, only 41.2%/39.4% of the infinite population are blocks, the rest being the weightships that indirectly create the blocks. (There's two numbers because of the varying population of weightships.)
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Mr. Missed Her

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### Re: Breeders

1. Yes, Blockstacker is a type-SS linear growth pattern.
2. Instead of calling it 'weightship', call it *WSS.
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gameoflifemaniac

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### Re: Breeders

gameoflifemaniac wrote:Yes, Blockstacker is a type-SS linear growth pattern.

Yes, but why is the portion of the population that is the weightships (_WSS) not counted? Is it because they're not permanent?
There is life on Mars. We put it there with not-completely-sterilized rovers.
And, for that matter, the Moon, Jupiter, Titan, and 67P/Churyumov–Gerasimenko.

Mr. Missed Her

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