silversmith wrote: November 17th, 2020, 7:30 am A shifty rule with three ships and some circuitry.Code: Select all
x = 162, y = 48, rule = B3aeiy4cwz5acry/S2acek3aceijnqr4ijrw5aci6ik 87bobo$56bo30b3o$55bobo30bo$56bobo33bo9bo40bo$57bobo31bobo7bobo38bobo $21bo36bobo31bo9bo40bo$20b3o36bobo71bo$20bo39bobo69bobo19bo$26bo34bob o69bo19bobo$25b3o27b2o5bobo89bo$25bo28bobo6bobo$54bo9bobo$53b2o10bobo 19bobo48bo$66bobo18b3o47bobo$67bobo18bo3bo43bobo$11b2o55bobo20bobo31b o7bo3bo12bo$10b2o57bobo20bo31bobo5bobo14bobo$11bo58bobo52bo7bo16bo$ 49b2o20bobo$48b2o22bobo73bo$49bo23bobo71bobo$74bobo11bobo9bo47bo$75bobo 10b3o8bobo21b2o$76bobo10bo2bo7bo23b2o$18b2o57bobo11bobo29b2o11b2o$18b 2ob2o55bobo11bo42b2o23bo$19bo2bo18bo37bobo54b2o21bobo$18b3o19bobo37bo bo29bo47bo$20b4o17bo3bo35bobo27bobo$18bobob2o20bobo35bo29bo$4bo40bo$ 3b2o105bo16bo7bo$3bo77b2o26bobo14bobo5bobo$4bo75b2o28bo12bo3bo7bo$b2o 25b2o51b2o39bobo$2obo11bo13b2o90bobo$14bobo11b2o19bo72bo$15bo19b2o11bo bo$34b2o13bo$35b2o69bo14bo$105bobo12bobo4bo$6b2o98bo14bo4bobo$5b2o 120bo$6bo12bo97bo40bo$18bobo95bobo38bobo$19bo3bo45bo47bo40bo$22bobo43b3o $23bo44bobo!
Naszvadi wrote: November 18th, 2020, 10:11 am Not-yet-spartan, but stable duplicator:[APPEND#1]Code: Select all
x = 557, y = 263, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik 70bo4bo$69bobo2bobo$68bobo4bobo$69bo6bobo$77bobo$78bobo$79bobo$80bobo$ 81bobo$82bobo$83bobo$84bobo$85bobo$86bobo$87bobo$63bo11bo12bobo$62bobo 9bobo12bobo$63bo9bobo14bobo$72bobo16bobo$73bo18bobo$93bobo$94bobo$95bo bo$96bobo$97bo9$59bo11bo$58bobo9bobo$59bobo9bo$60bobo$61bo6$63bo11bo$ 62bobo9bobo$63bo9bobo$72bobo$73bo14$59bo11bo$58bobo9bobo$59bobo9bo$60b obo$61bo6$63bo11bo$62bobo9bobo$63bo9bobo$72bobo$73bo14$59bo11bo$58bobo 9bobo$59bobo9bo$60bobo$61bo6$414bo$413bobo$414bo2$396bo$395bobo$396bo 11$423bo$412bo9bobo$411bobo9bo$412bo9$129bo27bo27bo$128bobo25bobo25bob o$129bo27bo27bo2$121bo25bo27bo27bo$120bobo23bobo25bobo25bobo211bo$121b o25bo27bo27bo211bobo9bo$416bo9bobo$427bo3$130bo27bo27bo$73b2o54bobo25b obo25bobo$73b2o55bo27bo27bo33bo$219bobo$146bo27bo27bo17bo$76bo68bobo 25bobo25bobo219bo$75b3o68bo27bo27bo209bo9bobo$74b2ob2o332bobo9bo$111bo 300bo$110bobo$86bo24bo$85bobo$84bobo$85bo4$119bo$118bobo$119bo$216bo$ 215bobo$216bo199bo$415bobo9bo$416bo9bobo$427bo8$423bo$412bo9bobo$411bo bo9bo$412bo14$416bo$415bobo9bo$416bo9bobo$427bo6$423bo$422bobo$399bo 23bo$398bobo$399bo6$408bo$407bobo$408bo12$533bo$532bobo$533bobo$534bob o$535bobo$536bobo$537bobo$538bobo$539bobo$540bobo$541bobo$406bo135bobo $405bobo135bobo$404bobo137bobo$405bo139bobo$546bobo$547bobo$548bobo$ 549bobo$550bobo$o409bo140bobo$2o408b2o140bobo$b2o408b2o71bo27bo27bo12b obo$2o408b2o71bobo25bobo25bobo12bobo$o409bo4b2o65bobo25bobo25bobo14bo$ 415b2o64bobo25bobo25bobo$466bo15bo11bo15bo11bo15bo$465bobo25bobo25bobo 31bo$466bo27bo27bo31bobo$553bobo$554bo4$484bo27bo27bo$483bobo25bobo25b obo$464bo19bo7bo19bo7bo19bo$463bobo25bobo25bobo$464bobo25bobo25bobo$ 465bobo25bobo25bobo$466bo27bo27bo!
reduced, still suboptimal:[APPEND#2]Code: Select all
x = 65, y = 228, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik bo4bo$obo2bobo$bo4bobo$7bobo$8bobo$9bobo$10bobo$11bobo$12bobo$13bobo$ 14bobo$15bobo$16bobo$17bobo$18bobo$19bobo$20bobo$21bo29$42bo$41bobo$ 42bo6$4b2o$4b2o53bo$58bobo$7bo51bobo$6b3o51bobo$6bobo52bobo$62bobo$32b o30bo$31bobo$32bo$16bo$15bobo$16bo2$60bo$59bobo$40bo17bobo$39bobo15bob o$40bobo13bobo$41bo13bobo$54bobo$53bobo$54bo149$7bo$6b3o$6bobo!
All oscillator periods exists above 19: an equidistant ten 2c/5o ship loop between 4 tubes as the following figure, where streching the longer side of the containing rectangle with two cells + advancing each glider with one generation means incrementation of the period:So this rule is close to prove onmiperiodicity!Code: Select all
x = 91, y = 59, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik 17bob2obob2o2bob2obob2o$17b2obob2obo2b2obob2obo15bo$51bobo$24b2o2b2o5b 2o15bo7b3o5b3o5b3o$2ob2o20bo3bo6bo17bo5bo7bo7bo8bo$2ob2o19bo3bo6bo17bo 6b3o5b3o5b3o5bobo$24b2o2b2o5b2o16b2o27bo2bo$2o4b2o46bo25b4o$2o4b2o9bob 2obob2o2b2o5b2o$17b2obob2obo2b2o5b2o43b2ob2o$2ob2o44b2ob2o$2ob2o12b2o 9b2o5b2o$18bo10bo6bo13b4o25bo$2o15bo10bo6bo12bo2bo27b2o$2o15b2o9b2o5b 2o10bobo5b3o5b3o5b3o6bo$48bo8bo7bo7bo5bo$2o15b2obobob2o2b2obobob2o18b 3o5b3o5b3o7bo$2o15bob2ob2obo2bob2ob2obo43bobo$81bo2$17bob2obob2o6bo$ 17b2obob2obo5bobo18bo$32bo18bobo5bo$24b2o3bo22bo5b2o6b3o6b2o$2ob2o20bo 2bobob2o23b2o7bo7b2o6b3o2bo$2ob2o19bo4bo3bo16b3o5b2o6b3o6b2o4b2obobobo $24b2o6bo17b2o7bo21b2obo2bo$2o4b2o24b2o17b2o$2o4b2o9bob2obob2o$17b2obo b2obo6b2o$2ob2o28bo$2ob2o12b2o13bo$18bo13b2o49b2o$2o15bo30bo2bob2o21bo 7b2o$2o15b2o13b2o13bobobob2o4b2o6b3o6b2o5b3o$33bo14bo2b3o6b2o7bo7b2o$ 2o15b2obobob2o6bo26b2o6b3o6b2o5bo$2o15bob2ob2obo6b2o42bo5bobo$83bo2$ 17bob2obob2o2bob2obob2o$17b2obob2obo2b2obob2obo15bo$51bobo5bobo7bo$24b 2o9b2o15bo6bobo6b2o7b2o$2ob2o20bo10bo21b2o7b2o7b2o7bo3bo$2ob2o19bo10bo 15b3o5bobo6b2o7b2o5b3obobo$24b2o9b2o14bo7bobo7bo13b2obo2bo$2o4b2o43b3o $2o4b2o9bob2obob2o2bob2obob2o15b2o$17b2obob2obo2b2obob2obo$2ob2o$2ob2o 12b2o9b2o54b2o$18bo10bo54b3o$2o15bo10bo19bo2bob2o13bo7bobo7bo$2o15b2o 9b2o17bobob3o5b2o7b2o6bobo5b3o$48bo3bo7b2o7b2o7b2o$2o15b2obobob2o2b2ob obob2o22b2o7b2o6bobo6bo$2o15bob2ob2obo2bob2ob2obo31bo7bobo5bobo$85bo!
Small periods - P19:
P1 to P6:Code: Select all
x = 47, y = 15, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik 4bo$3bobo19bo6b2o$4bo4b2o5b3o5b2o5b3o5b2obo$8b2o6bo6b2o6bo7bob2o2bo$2b 3o4b2o5b3o5b2o5b3o5b2obobobo$3bo21bo6b2o11bo$2b3o2$42b3o$bo11b2o6bo21b o$obobob2o5b3o5b2o5b3o5b2o4b3o$bo2b2obo7bo6b2o6bo6b2o$4bob2o5b3o5b2o5b 3o5b2o4bo$13b2o6bo19bobo$42bo!open problems: P7 to P18.Code: Select all
x = 76, y = 7, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik 2o9b2ob2o10b2ob2o9b2ob2o9b2ob2o11b2o2bo$2o9b2obo12bob2o9bo2b2o9b2obo2b o9b2obobo$15bo11bo15bo14b3o13bo$14b2o12bo11b3obo9b2o3bo10b3o$12b2ob2o 10b2o11b2ob2o9bobob2o10b3ob2o$12b2o42b4o11b2ob2o$55b2o!
Repeat time 171 splitter and some 180 reflectors.Naszvadi wrote: November 19th, 2020, 9:35 amP10:[APPEND#1]Code: Select all
x = 4, y = 4, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik:T128,128 bobo$2o$2b2o$obo!
P155 "oscillator", a gun with an eaten barrel "fun-gun":[APPEND#2]Code: Select all
x = 34, y = 50, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik 19bo$18bobo$19bo17$4bo$3bobo$4bo$26bo$25bobo$26bo3$29bo$28bobo$29bo2$ 9bo10bo$8bobo7b5o$9bo$18b2ob2o2$17bo$bo14b3o$obo13bobo$bo$16bobo$16b3o 3$32bo$31bobo$32bo$21bo$20bobo$21bo!
Selected 2U ship syntheses of diagonals:Dual P10 synth:Code: Select all
x = 17, y = 71, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik 2o$b2o$2o11$13b3o$12b2ob2o$12b2ob2o15$2o$b2o$2o10$14bo$13b3o$13bobo16$ 2o$b2o$2o6$14bo$13b3o$13bobo![APPEND#3]Code: Select all
x = 23, y = 5, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik 2o$b2o$2o19b2o$20b2o$21b2o!
XOR gate:Code: Select all
x = 76, y = 27, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik 3bo7bo21bo7bo21bo7bo$2bobo5bobo19bobo5bobo19bobo5bobo$bobo7bobo17bobo 7bobo17bobo7bobo$obo9bo17bobo9bo17bobo9bo$bo29bo29bo2$14bo29bo29bo$13b obo27bobo27bobo$14bo29bo29bo7$2bo29bo$b3o27b3o$3bo29bo6$37bo29bo$35b5o 25b5o2$35b2ob2o25b2ob2o!
Code: Select all
x = 94, y = 54, rule = B3aeiy4cwz5acry/S2acek3aceijnqr4ijrw5aci6ik
3bobo14bobo10bobo9bobo$3b3o4bobo7b3o10b3o9b3o$4bo5b3o8bo12bo11bo2$11b
o5bo$2bo7bobo3bobo4bo5bo6bo6bo4bo$bobo4bo2bo5bo4bobo3bobo4bobo4bobo2b
obo32bo4bo$2bo5b2o13bo5bo6bo6bo4bo32bobo2bobo$82bo4bobo$88bobo$89bo$
74bo$73bobo$74bo$83bo$82bobo$83bo$92bo$64bo26bobo$63bobo24bobo$64bo24b
obo$88bobo$87bobo$86bobo$obo82bobo$obo66b2o15bo$2b2o13bo11bo40b2o$obo
66b2o$obo70b2o$73b2o20$78bo$77bobo$68bo6bo2bo$67bobo4bobo$68bo6bo!C/2 from an asymmetric soup
Code: Select all
x = 16, y = 16, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik
oobooooboooboobo$
oobboboboooboobo$
bobbooobbobbbbbb$
boobobbbboobobbb$
obbobbbobbbooobb$
obooooooooboooob$
bbbbobobboobobbo$
bboooboobboboooo$
oboooobbboobobbo$
booooooboobbbbbb$
bobooobbbooboobo$
bbobobboooboobob$
bboooooboobboobb$
boooooboobbbboob$
bobbboobbbbbobbb$
bboooooooooobbob!Repeat time 143 splitter with more output ships.
Code: Select all
x = 83, y = 33, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik
78bo$77bobo$78bo3$64bo$63bobo$64bo7$81bo$61b2o17bobo$o60b2o16bobo$2o
55b2o21bo$b2o55b2o$2o55b2o$o5$49bo$48bobo$49bo$61bo$60bobo$59bobo$58bo
bo$59bo!p38 and p48 guns
Code: Select all
x = 74, y = 41, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik
15bo9bo$14bobo7bobo$15bo9bo8$70b2o$70b2o$68bo$67b2o$bo16bo3bo16bo28b
2o$obo15b2ob2o15bobo31b2o$bo15b2o3b2o15bo32b2o3$39bo$15bo9bo12bobo$39b
o3$bo15b2o3b2o15bo32b2o$obo15b2ob2o15bobo31b2o$bo16bo3bo16bo28b2o$67b
2o$68bo$70b2o$70b2o8$15bo9bo$14bobo7bobo$15bo9bo!
Here are the natural ships.
Code: Select all
x = 109, y = 6, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik
4bo4bo7bo7bo11bo25bo14b3o5b3o14b2o$3b3o2b3o5b3o5b3o9b3o8bo13b5o12b4o
3b4o15b2o$b2o10bo16b3o13b3o27bo4bo3bo4bo3b2o7b2o2bo$2o2b2o2b2o2b3o2b2o
5b2o2bobobobo2b2o7bobo9b5ob5o7b2ob3o3b3ob2o4b2o9b3o$11b2ob2o11b2o5b2o
23bo7bo27bo10bobo$3o7b2obob2o10bo3bo3bo!
Code: Select all
x = 16, y = 20, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik
14bo$14b2o$14bo$12bobo$12bobo$11b2o$2o10bobo$3o9bobo$2o3bo2bo5bo$3b3o
bo6b2o$3bo4bo5bo$3b2o$6b2o2b2o$6b2o2b2o$3b2o$3bo4bo$3b3obo$2o3bo2bo$
3o$2o!
periods 1-17 have been found and examples are on catgolugue, periods 19+ are possible through reflector loops, and here is a p18.
Code: Select all
x = 20, y = 20, rule = B3aeiy4cwz5acry/S2-in3-ky4ijrw5aci6ik
12bo$11bobo$6bobo3bobo$3bo2b4o3bobo$2bobobobo5bobo$bobo11bo$obo9b2o$b
o2b2o7b2o$3bobo6b2o$3bobo$14bobo$6b2o6bobo$5b2o7b2o2bo$6b2o9bobo$4bo
11bobo$3bobo5bobobobo$4bobo3b4o2bo$5bobo3bobo$6bobo$7bo!