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## 16 in 16: Efficient 16-bit Synthesis Project

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

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.2129 in 15G:
`x = 124, y = 229, rule = B3/S2316bo\$14bobo\$15b2o5bo\$21bo\$21b3o3\$21b2o\$20b2o99bobo\$22bo97bob2o\$120bo\$119b2o4\$14b3o\$16bo\$15bo84\$4bobo\$5b2o\$5bo5\$21bobo97bobo\$20bob2o96bob2o\$20bo99bo\$19b2o95bo2b2o\$115bobo\$116bo10\$4b3o\$6bo\$5bo20b2o\$26bobo\$26bo54\$7bo\$8bo\$6b3o4\$26bo\$26bobo\$26b2o2\$bo4bo25bo\$2bo4b2o23bobo\$3o3b2o24b2o2\$4bo\$5bo\$3b3o10\$119b2o\$21bobo95bobobo\$20bob2o96bob2o\$20bo97bobo\$16bo2b2o96bob2o\$15bobo99bo\$16bo99b2o12\$32b2o\$8bo22b2o\$8b2o23bo\$7bobo!`

Edit: 16.2781 in at most 15G by reducing 14.358 to at most 11G:
`x = 165, y = 68, rule = B3/S232bo\$obo\$b2o25\$45bo\$43bobo\$44b2o3\$47bo4bo\$48bob2o27b2o38b2o38b2o\$46b3o2b2o26bo3b2o34bo3b2o34bo3b2o\$81bo2bo27bobo6bo2bo36bo2bo\$80b3o30b2o5b3o37b3o\$79bo33bo5bo39bo\$78bobo9bo27bobo39bo\$79bo10bo28bo37b3o\$90bo66bo\$33b3o\$91b3o19bo\$38bo52bo22bo2bo\$37bobo52bo19b3o2b2o\$38b2o76bobo2\$114bo\$114b2o\$113bobo7\$60bo\$59b2o\$59bobo7\$27b2o\$28b2o\$27bo!`
14.358 might be doable in 10G if the starting constellation can be constructed in 3.

Edit 2: 16.2124 in 14G by reducing 14.215 to 10G:
`x = 205, y = 30, rule = B3/S2382bo\$83b2o\$82b2o3\$78bo\$76bobo2bo\$77b2o2bobo\$81b2o4\$70bo\$71b2o\$70b2o\$120b2o38b2o38b2o\$120bobo37bobo37bobo\$3bo38bo39bo38bobo37bobo37bobo\$2bo38bobo37bobo35bobo2bo34bobo2bo34bobo2bo\$2b3o35bo2bo36bo2bo34bobo2b2o33bobo2b2o33bobo2b2o\$41b2o22b3o13b2o36bo32b2o5bo38bo\$b2o64bo85b2o42b2o\$obo63bo85bo\$2bo68b2o17bo57b2o\$72b2o15b2o58b2o2b2o6b2o\$71bo17bobo56bo4bobo4b2o\$153bo8bo\$79b2o\$78b2o\$80bo!`

Edit 3: 16.1959 in 15G (and 13.124 in 6G):
`x = 299, y = 37, rule = B3/S23o\$b2o\$2o8\$40bo\$40bobo\$40b2o3\$26bo28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o\$26bobo24b3obo25b3obo25b3obo25b3obo25b3obo25b3obo25b3obo25b3obo25b3obo\$26b2o2b3o19bo4bo24bo4bo24bo4bo24bo4bo24bo4bo24bo4bo24bo4bo24bo4bo24bo4bo\$30bo20bobo3b2o22bobo3b2o22bobo3b2o22bobo3b2o22bobo3b2o22bobo3b2o24bo3b2o24bo3b2o24bo3b2o\$31bo20bo29bo29bobo27bobo27bobo27bobo23b2o4bo23b2o4bo29bo\$113bo29bo29bobo22bo4bobo21bo2bo4bo17b3obo2bo4bo29bo\$84b2o88bobo22bo4bobo21b2o6bo18bo2b2o6bo29bo\$84bobo88b2o20b3o5b2o28b2o17bo10b2o28b2o\$84bo\$80b3o115bo\$26b2o54bo115b2o\$27b2o52bo59b3o5b2o46bobo\$26bo116bo4b2o\$142bo7bo2\$143b2o\$142b2o11b2o\$144bo9b2o\$156bo\$3b2o\$2bobo\$4bo!`

Edit 4: 16.1796 and 16.2214 in 14G via 14.344 in 9G:
`x = 249, y = 58, rule = B3/S23212bo\$210bobo\$211b2o\$220bobo\$48bo164bo6b2o\$46b2o10bo154bobo5bo\$47b2o9bobo152b2o\$39bo18b2o23b2o38b2o38b2o38b2o38b2o\$39bobo41bo2b2o35bo2b2o35bo2b2o35bo2b2o35bo2b2o\$39b2o43bob2o36bob2o36bob2o36bob2o36bobo\$44b2o37b2o38b2o38b2o38b2o38b2o3bo\$43b2o39bo39bo39bo39bo39bo2b2o\$2bo42bo36bo39bo39bo39bo39bo\$2o80b2o38b2o38b2o38b2o38b2o\$b2o\$32b3o\$2bo31bo\$b2o30bo181b2o\$bobo36b3o172bobo\$73b2o38b2o100bo8b3o\$72bo2bo36bo2bob3o104bo\$73b2o38b2o2bo107bo\$118bo7\$57b2o\$56b2o\$58bo5\$225bo\$224bo\$215bo8b3o\$215bobo\$215b2o6\$247b2o\$203b2o38b2o3bo\$203bo2b2o35bo2bo\$204bob2o36bob2o\$203b2o38b2o\$204bo8b2o29bo\$202bo10bobo5bo20bo\$202b2o9bo6b2o20b2o\$220bobo\$211b2o\$210bobo\$212bo!`
The 9G synthesis of 14.344 should improve a few others that use it as a base.
-Matthias Merzenich
Sokwe
Moderator

Posts: 1479
Joined: July 9th, 2009, 2:44 pm

### Re: 16 in 16: Efficient 16-bit Synthesis Project

Sokwe wrote:16.2129 in 15G:...
...Edit: 16.2781 in at most 15G by reducing 14.358 to at most 11G:
`rle`

14.358 might be doable in 10G if the starting constellation can be constructed in 3.
...Edit 2: 16.2124 in 14G by reducing 14.215 to 10G:...
...Edit 3: 16.1959 in 15G (and 13.124 in 6G):...

Nice work. 14.358 can be done in 10G without synthesising a blinker-boat constellation, as the blinker can be replaced by a glider:

`x = 165, y = 74, rule = B3/S232bo\$obo\$b2o25\$45bo\$43bobo\$44b2o3\$47bo4bo\$48bob2o27b2o38b2o38b2o\$46b3o2b2o26bo3b2o34bo3b2o34bo3b2o\$81bo2bo27bobo6bo2bo36bo2bo\$80b3o30b2o5b3o37b3o\$79bo33bo5bo39bo\$78bobo9bo27bobo39bo\$79bo10bo28bo37b3o\$90bo66bo2\$36bobo52b3o19bo\$37b2o52bo22bo2bo\$37bo54bo19b3o2b2o\$116bobo\$37b3o\$37bo76bo\$38bo75b2o\$113bobo7\$60bo\$59b2o\$59bobo7\$27b2o\$28b2o\$27bo4\$2bo\$2b2o\$bobo!`

Catagolue (only just noticed it's not "catalogue") has been down, but it now working again, so I can find more syntheses.

16.159 in 8 gliders:

`x = 40, y = 42, rule = B3/S2322bo\$21bo\$21b3o2\$10bobo\$11b2o\$11bo12bo\$24bobo\$24b2o2\$23bo\$21bobo\$22b2o3\$37b2o\$37bobo\$37bo5\$31b3o\$33bo\$32bo\$34b3o\$34bo\$35bo12\$b2o\$obo\$2bo!`

Goldtiger997

Posts: 531
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.774 in 12G:
`x = 92, y = 25, rule = B3/S2326bo\$24b2o\$25b2o\$13bo\$14b2o\$8bo4b2o\$2bo6b2o16bo\$3bo4b2o15b2o\$b3o22b2o3\$13bo\$14b2o\$o2bo9b2o35b2o38b2o\$4bo46bo39bo\$o3bo44bo39bo\$b4o42b4o36b4o\$46bo4bo34bo4bo\$36bo10b3obo24bo10b3obo\$35bobo11b2o24bobo11b2o\$36b2o38b2o\$25b3o44b3o\$7b3o15bo48bo\$9bo16bo46bo\$8bo!`

Alternate method I thought would be better but wasn't:
`x = 84, y = 33, rule = B3/S2321bo\$20bo\$20b3o\$8bo\$9bo\$7b3o\$22bo\$21bo\$21b3o6\$45b2o28b2o\$46bo29bo\$44bo29bo\$42b4o26b4o\$41bo4bo24bo4bo\$27b4o11b3obo25b3obo\$bo25bo3bo12b2o3b2o23b2o3b2o\$b2o24bo21b2o28b2o\$obo11b2o12bo2bo\$13b2o4b3o59b3o\$15bo3bo61bo\$20bo61bo3\$3b2o\$4b2o\$3bo13b2o\$16b2o\$18bo!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1883
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.15 in nine gliders (likely reducible to eight with a better synthesis of the lower-left spark):
`x = 30, y = 24, rule = B3/S239bo\$10b2o\$9b2o16bobo\$20bo6b2o\$18b2o8bo\$19b2o3\$28bo\$27bo\$bo25b3o\$2bo\$3o21bo\$10b2o11b2o\$6b2o2bobo10bobo\$5bobo2bo\$7bo5\$3b2o\$2bobo\$4bo!`

EDIT:
BlinkerSpawn wrote:16.774 in 12G:
`RLE`

Reduced to nine:
`x = 23, y = 25, rule = B3/S2319bobo\$19b2o\$20bo\$12bobo\$13b2o\$13bo\$20bobo\$20b2o\$21bo2\$8bo\$3bo2bobo3bobo\$3b2o2b2o4b2o\$2bobo8bo2\$20b2o\$20bobo\$7bo12bo\$7b2o\$6bobo3\$b2o\$obo\$2bo!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1785
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 16 in 16: Efficient 16-bit Synthesis Project

Extrementhusiast wrote:16.15 in nine gliders (likely reducible to eight with a better synthesis of the lower-left spark):
`9G synth`
...

Yes, 16.15 in 8 gliders:

`x = 33, y = 27, rule = B3/S23o\$b2o\$2o28bobo\$23bo6b2o\$21b2o8bo\$22b2o3\$10bo20bo\$11bo18bo\$9b3o18b3o6\$10bo\$11b2o\$10b2o2\$8b2o\$7bobo\$9bo2\$27bo\$26b2o\$26bobo!`

Goldtiger997

Posts: 531
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.1373 in 12G using known components:
`x = 162, y = 31, rule = B3/S23125bo\$126b2o\$125b2o2\$3bo\$4b2o\$3b2o132bo\$135b2o\$136b2o2\$16bo19bo29bo29bo29bo12bo16bo\$15bo20b3o27b3o27b3o27b3o9b2o16b3o\$15b3o21bo29bo29bo19bo9bo8bobo18bo\$11b3o24bobo27bobo27bobo19b2o6bobo27bo2bo\$11bo26bobo27bobo27bobo18b2o7bobo27bob2o\$12bo26bo29bo29bo29bo29bo\$bo155bobo\$b2o153bobo\$obo95b3o27b3o26bo3\$65bobo\$66b2o2b2o\$66bo2b2o\$71bo2\$136bo\$135b2o\$118b3o14bobo\$120bo\$119bo!`
-Matthias Merzenich
Sokwe
Moderator

Posts: 1479
Joined: July 9th, 2009, 2:44 pm

### Re: 16 in 16: Efficient 16-bit Synthesis Project

Goldtiger997 wrote:14.358 can be done in 10G without synthesising a blinker-boat constellation, as the blinker can be replaced by a glider

This improvement allows 16.1085 in 15G:

`x = 35, y = 45, rule = B3/S232bo\$obo\$b2o30bo\$32bo\$32b3o5\$32bo\$32bobo\$32b2o3\$30bo\$29bo\$29b3o3\$16bo\$11b2o2bobo\$11bo2bobo\$13b2o\$14bo\$12bo\$12b2o17\$3b3o\$5bo\$4bo!`

Altogether Sokwe's syntheses give rise to the following reductions:

`+16.1084    xs16_31ke12kozw11        20+16.2162    xs16_0at16426z32         17+16.2316    xs16_0at16413z32         17+16.1085    xs16_3h4e12koz011        15+16.1959    xs16_4ai31e8zx56         15+16.2129    xs16_0g8jt246z23         15+16.1796    xs16_0bt06ioz32          14+16.2124    xs16_0g8jd2koz23         14+16.2214    xs16_0mq0c93z641         14+16.2781    xs16_wj9c826z6221        14+16.2161    xs16_0bt06246z32         13+16.2163    xs16_0bdz3213146         13+16.2164    xs16_0bt0628cz32         13+16.2306    xs16_0bt06413z32         13+15.910     xs15_0j9c826z321         12+16.1373    xs16_32q4goz4a43         12+16.1898    xs16_0bt0653z32          12+16.1999    xs16_oka9jzx1252         12+16.2043    xs16_0j9c826z1252        12+16.2074    xs16_0j9c826z343         12+16.2762    xs16_wj9c826z2521        12+14.215     xs14_0j9akoz121          10+14.358     xs14_0j9c826z121         10+14.344     xs14_0bt066z32           9+16.421     xs16_032qczmp21          9+16.850     xs16_gs25acz1226         9+15.521     xs15_8kai31e8zw1         8+13.124     xs13_25a8oge2            6`

Now there are 132 SLs above 15G in my list:

`16.1682    xs16_8k9bkk8zw23         2116.1693    xs16_8k8aliczw23         2116.1753    xs16_695q4gozw23         2116.2096    xs16_wck5b8oz311         2116.228     xs16_178bp2sg            2016.712     xs16_3pc0qmzw23          2016.872     xs16_2lla8oz065          2016.1084    xs16_31ke12kozw11        2016.1127    xs16_giligoz104a4        2016.1739    xs16_g88r2qkz121         2016.1791    xs16_03lkaa4z3201        2016.1962    xs16_4a9eg8ozw65         2016.2058    xs16_69akg4czx146        2016.131     xs16_660uhar             1916.230     xs16_178jd2ko            1916.801     xs16_08eharz321          1916.1684    xs16_4aab9k8zx32         1916.1694    xs16_4a5p6o8zx121        1916.1912    xs16_at16426z32          1916.1979    xs16_4ap30ga6zw121       1916.2050    xs16_6ik8a52z065         1916.2200    xs16_06agc93z2521        1916.2307    xs16_6ik8a52z641         1916.155     xs16_3pabp46             1816.600     xs16_6421344og84c        1816.665     xs16_699mkiczx1          1816.848     xs16_ca9b8oz0252         1816.914     xs16_8kkja952zx1         1816.926     xs16_3iajc4gozw1         1816.1107    xs16_02egdbz2521         1816.1130    xs16_oe12koz01ac         1816.1558    xs16_3loz1226io          1816.1711    xs16_c8idik8z023         1816.1757    xs16_g8idik8z123         1816.1790    xs16_178cia4z0321        1816.1911    xs16_69q3213z32          1816.1990    xs16_8e1tazx1252         1816.1995    xs16_cik8a52z065         1816.2201    xs16_0ggml96z641         1816.2447    xs16_0g8it248cz23        1816.2480    xs16_3iaczw1139c         1816.227     xs16_5b8r5426            1716.265     xs16_259m861ac           1716.380     xs16_4a40vh248c          1716.616     xs16_i5pajoz11           1716.640     xs16_c9bkkozw32          1716.668     xs16_gbq1daz121          1716.716     xs16_3pmk46zx23          1716.748     xs16_39ege2z321          1716.799     xs16_c8al56z311          1716.803     xs16_c9bk46z311          1716.843     xs16_4a9liczx56          1716.875     xs16_4a5pa4z2521         1716.1064    xs16_39m88cz6221         1716.1073    xs16_3lkaa4z641          1716.1097    xs16_ck0ol3z643          1716.1276    xs16_3iakgozw1ac         1716.1398    xs16_g88c93zc952         1716.1685    xs16_c48n98czx23         1716.1715    xs16_64p784czw23         1716.1722    xs16_4aq32acz032         1716.1758    xs16_4a4o796zw121        1716.1847    xs16_39c8a52z033         1716.1867    xs16_069q453z311         1716.1871    xs16_5bo8ge2z32          1716.1882    xs16_259m453zx23         1716.1905    xs16_8u16853z32          1716.1991    xs16_8e1qbzx1252         1716.2014    xs16_25a8kk8z0253        1716.2045    xs16_25ao8ge2z032        1716.2132    xs16_0g8it2sgz23         1716.2162    xs16_0at16426z32         1716.2316    xs16_0at16413z32         1716.2356    xs16_25icggozx1ac        1716.2467    xs16_0kc3213z34a4        1716.2555    xs16_4a9jzxpia4          1716.3163    xs16_wo443123zbd         1716.3164    xs16_wo443146zbd         1716.104     xs16_0j5ozj4pz11         1616.115     xs16_0ol3z0mdz32         1616.243     xs16_2egu16426           1616.300     xs16_9fg4czbd            1616.302     xs16_5b8o642ac           1616.350     xs16_312461tic           1616.360     xs16_2egu16413           1616.593     xs16_3123c48gka4         1616.724     xs16_j5o64koz11          1616.762     xs16_jhke1e8z1           1616.771     xs16_69qb8oz32           1616.772     xs16_3h4e1daz011         1616.810     xs16_ca9la4z311          1616.822     xs16_8ehikozw56          1616.836     xs16_4aajkczx56          1616.838     xs16_ci9b8ozw56          1616.840     xs16_c8idiczw56          1616.856     xs16_kc32acz1252         1616.953     xs16_0cil56z6221         1616.995     xs16_0raik8z643          1616.1068    xs16_3lo0kcz6421         1616.1080    xs16_3lo0kcz3421         1616.1304    xs16_0okih3zc8421        1616.1391    xs16_ca168ozc8421        1616.1581    xs16_8o6413zrm           1616.1583    xs16_4a9jzxha6zx11       1616.1675    xs16_xj96z0mdz32         1616.1710    xs16_4a9bk46zx32         1616.1717    xs16_4aajk46zx121        1616.1720    xs16_4a4o79ozx121        1616.1766    xs16_kc321e8z123         1616.1787    xs16_069m4koz311         1616.1856    xs16_39u06a4z32          1616.1857    xs16_39u0652z32          1616.1864    xs16_31ke1e8z032         1616.1929    xs16_0g5r8b5z121         1616.1994    xs16_0g9fgka4z121        1616.2018    xs16_25a8c826zw33        1616.2025    xs16_069q48cz2521        1616.2028    xs16_25ao48cz2521        1616.2029    xs16_25ao4a4z2521        1616.2030    xs16_0i5q8a52z121        1616.2060    xs16_69akg4czx56         1616.2190    xs16_032q4goz6413        1616.2204    xs16_0gilla4z641         1616.2219    xs16_0oe12koz643         1616.2305    xs16_6413ia4z6421        1616.2317    xs16_cik8a52z641         1616.2322    xs16_raak8zx1252         1616.2323    xs16_ra248goz056         1616.2445    xs16_ciligzx254c         1616.2549    xs16_g4c3213zdb          1616.2630    xs16_31e8gzxo9a6         1616.3032    xs16_1784ozx342sg        16`
chris_c

Posts: 895
Joined: June 28th, 2014, 7:15 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

Reaction for 16.1753:
`x = 28, y = 52, rule = B3/S23o\$b2o\$2o24\$20b2o\$19bo2bo\$20bobo\$21bo\$17b3o\$15bo3bo\$15b2ob2o\$16b2o4\$26b2o\$26b2o3\$13bo\$13b2o\$12bobo2\$21b3o\$21bo\$22bo2\$13b3o\$15bo\$14bo!`

16.2096:
`x = 17, y = 22, rule = B3/S23obo\$b2o\$bo6\$9b3o2\$7bo\$7bo6bo\$7bo5b3o\$12bo3bo\$13b2obo\$14b3o2\$10b2o\$10bobo\$3b3o5bo\$5bo\$4bo!`

EDIT: 16.228:
`x = 14, y = 8, rule = B3/S2313bo\$13bo\$bo11bo\$b2o3b3o\$2bo6bo\$bo5b2o\$6b2o\$2o!`
Last edited by BlinkerSpawn on May 1st, 2017, 6:08 pm, edited 1 time in total.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1883
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### Re: 16 in 16: Efficient 16-bit Synthesis Project

BlinkerSpawn wrote:Reaction for 16.1753:

I looked at that one recently but couldn't synthesis the piece of junk after a brief search. Probably do-able though. (EDIT: see below)

In 11G:

`x = 96, y = 32, rule = B3/S238bo\$9b2o\$8b2o2\$24bo\$24bobo\$24b2o2\$17bo10bobo\$15bobo10b2o56bo\$16b2o11bo54b3o\$79bo3bo\$79b3o2bo\$82b3o\$81bo6bo\$2o79b2o5bo\$b2o85bo\$o4b3o\$7bo\$6bo2\$93b2o\$93bobo\$93bo\$23bo\$22b2o\$22bobo\$4b3o\$6bo\$5bo7b2o8bo\$12bobo7b2o\$14bo7bobo!`

EDIT: 16.1753 in 12G:

`x = 57, y = 76, rule = B3/S2314bo\$15bo\$13b3o2\$46bo\$45bo\$45b3o2\$12bobo\$13b2o\$13bo40bo\$54bobo\$54b2o\$21bo\$22b2o\$21b2o6\$23bobo\$24b2o\$24bo3\$44bo\$43bo\$43b3o3\$23b3o\$25bo\$24bo4\$51b2o\$51bobo\$23bo27bo\$23b2o\$22bobo3\$24b2o\$23bobo\$25bo27\$2o\$b2o\$o!`

Also I reduced a few SLs of lower bit count so that now everything is at most 20G:

`+15.381     xs15_c8idioz023          9+15.389     xs15_cahegoz023          8+12.121     xs12_4alla4              7   (this one is the super-beehive)`

There are now 127 SLs above 15G:

`16.228     xs16_178bp2sg            2016.712     xs16_3pc0qmzw23          2016.872     xs16_2lla8oz065          2016.1084    xs16_31ke12kozw11        2016.1127    xs16_giligoz104a4        2016.1693    xs16_8k8aliczw23         2016.1739    xs16_g88r2qkz121         2016.1791    xs16_03lkaa4z3201        2016.1962    xs16_4a9eg8ozw65         2016.2058    xs16_69akg4czx146        2016.131     xs16_660uhar             1916.230     xs16_178jd2ko            1916.801     xs16_08eharz321          1916.1684    xs16_4aab9k8zx32         1916.1694    xs16_4a5p6o8zx121        1916.1912    xs16_at16426z32          1916.1979    xs16_4ap30ga6zw121       1916.2050    xs16_6ik8a52z065         1916.2200    xs16_06agc93z2521        1916.2307    xs16_6ik8a52z641         1916.155     xs16_3pabp46             1816.600     xs16_6421344og84c        1816.665     xs16_699mkiczx1          1816.848     xs16_ca9b8oz0252         1816.914     xs16_8kkja952zx1         1816.926     xs16_3iajc4gozw1         1816.1107    xs16_02egdbz2521         1816.1130    xs16_oe12koz01ac         1816.1558    xs16_3loz1226io          1816.1757    xs16_g8idik8z123         1816.1790    xs16_178cia4z0321        1816.1911    xs16_69q3213z32          1816.1990    xs16_8e1tazx1252         1816.1995    xs16_cik8a52z065         1816.2201    xs16_0ggml96z641         1816.2447    xs16_0g8it248cz23        1816.2480    xs16_3iaczw1139c         1816.227     xs16_5b8r5426            1716.265     xs16_259m861ac           1716.380     xs16_4a40vh248c          1716.616     xs16_i5pajoz11           1716.640     xs16_c9bkkozw32          1716.668     xs16_gbq1daz121          1716.716     xs16_3pmk46zx23          1716.748     xs16_39ege2z321          1716.799     xs16_c8al56z311          1716.803     xs16_c9bk46z311          1716.843     xs16_4a9liczx56          1716.875     xs16_4a5pa4z2521         1716.1064    xs16_39m88cz6221         1716.1073    xs16_3lkaa4z641          1716.1097    xs16_ck0ol3z643          1716.1276    xs16_3iakgozw1ac         1716.1398    xs16_g88c93zc952         1716.1682    xs16_8k9bkk8zw23         1716.1685    xs16_c48n98czx23         1716.1711    xs16_c8idik8z023         1716.1715    xs16_64p784czw23         1716.1722    xs16_4aq32acz032         1716.1758    xs16_4a4o796zw121        1716.1847    xs16_39c8a52z033         1716.1867    xs16_069q453z311         1716.1871    xs16_5bo8ge2z32          1716.1882    xs16_259m453zx23         1716.1905    xs16_8u16853z32          1716.1991    xs16_8e1qbzx1252         1716.2014    xs16_25a8kk8z0253        1716.2045    xs16_25ao8ge2z032        1716.2132    xs16_0g8it2sgz23         1716.2162    xs16_0at16426z32         1716.2316    xs16_0at16413z32         1716.2356    xs16_25icggozx1ac        1716.2467    xs16_0kc3213z34a4        1716.2555    xs16_4a9jzxpia4          1716.3163    xs16_wo443123zbd         1716.3164    xs16_wo443146zbd         1716.104     xs16_0j5ozj4pz11         1616.115     xs16_0ol3z0mdz32         1616.243     xs16_2egu16426           1616.300     xs16_9fg4czbd            1616.302     xs16_5b8o642ac           1616.350     xs16_312461tic           1616.360     xs16_2egu16413           1616.593     xs16_3123c48gka4         1616.724     xs16_j5o64koz11          1616.762     xs16_jhke1e8z1           1616.771     xs16_69qb8oz32           1616.772     xs16_3h4e1daz011         1616.810     xs16_ca9la4z311          1616.822     xs16_8ehikozw56          1616.836     xs16_4aajkczx56          1616.838     xs16_ci9b8ozw56          1616.856     xs16_kc32acz1252         1616.953     xs16_0cil56z6221         1616.995     xs16_0raik8z643          1616.1068    xs16_3lo0kcz6421         1616.1080    xs16_3lo0kcz3421         1616.1304    xs16_0okih3zc8421        1616.1391    xs16_ca168ozc8421        1616.1581    xs16_8o6413zrm           1616.1583    xs16_4a9jzxha6zx11       1616.1675    xs16_xj96z0mdz32         1616.1717    xs16_4aajk46zx121        1616.1766    xs16_kc321e8z123         1616.1787    xs16_069m4koz311         1616.1856    xs16_39u06a4z32          1616.1857    xs16_39u0652z32          1616.1864    xs16_31ke1e8z032         1616.1929    xs16_0g5r8b5z121         1616.1994    xs16_0g9fgka4z121        1616.2018    xs16_25a8c826zw33        1616.2025    xs16_069q48cz2521        1616.2028    xs16_25ao48cz2521        1616.2029    xs16_25ao4a4z2521        1616.2030    xs16_0i5q8a52z121        1616.2060    xs16_69akg4czx56         1616.2190    xs16_032q4goz6413        1616.2204    xs16_0gilla4z641         1616.2219    xs16_0oe12koz643         1616.2305    xs16_6413ia4z6421        1616.2317    xs16_cik8a52z641         1616.2322    xs16_raak8zx1252         1616.2323    xs16_ra248goz056         1616.2445    xs16_ciligzx254c         1616.2549    xs16_g4c3213zdb          1616.2630    xs16_31e8gzxo9a6         1616.3032    xs16_1784ozx342sg        16`
chris_c

Posts: 895
Joined: June 28th, 2014, 7:15 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

chris_c wrote:
BlinkerSpawn wrote:Reaction for 16.1753:
I looked at that one recently but couldn't synthesis the piece of junk after a brief search. Probably do-able though

It is do-able, but it took me 6 gliders (bookend + domino). Definitely reducible. So 16.1753 in 14 gliders:

`x = 56, y = 77, rule = B3/S23bo\$2bo\$3o25\$12bo\$13b2o\$12b2o2\$28bo\$29b2o\$28b2o5\$51bo\$50bo\$50b3o4\$40bo\$39b2o\$39bobo\$34bo\$33bo\$10b3o20b3o\$12bo\$11bo2\$13b2o20bo\$14b2o18bo\$13bo16b2o2b3o\$30bobo\$30bo6\$53b3o\$53bo\$54bo2\$13b2o\$12bobo\$14bo\$48bo\$47b2o\$47bobo2\$14bo\$14b2o\$13bobo!`

`x = 14, y = 8, rule = B3/S2313bo\$13bo\$bo11bo\$b2o3b3o\$2bo6bo\$bo5b2o\$6b2o\$2o!`

I found a 4G synth for the RHS (junk and blinker), but I couldn't find any way of making the spark without it interfering with the RHS:

`x = 60, y = 20, rule = B3/S2358bo\$56b2o\$57b2o3\$o\$b2o49bobo3bo\$2o50b2o3b2o\$53bo3bobo\$10bo\$11bo\$9b3o2b2o\$13bobo\$15bo\$54b3o\$54bo\$42b2o11bo\$12bo30b2o\$12b2o28bo\$11bobo!`

Goldtiger997

Posts: 531
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 16 in 16: Efficient 16-bit Synthesis Project

Goldtiger997 wrote:
chris_c wrote:
BlinkerSpawn wrote:Reaction for 16.1753:
I looked at that one recently but couldn't synthesis the piece of junk after a brief search. Probably do-able though

It is do-able, but it took me 6 gliders (bookend + domino). Definitely reducible. So 16.1753 in 14 gliders:

Ah yes. I ended up doing a brute force search with 4G which was successful (see the recent edit above).

Goldtiger997 wrote:
`x = 14, y = 8, rule = B3/S2313bo\$13bo\$bo11bo\$b2o3b3o\$2bo6bo\$bo5b2o\$6b2o\$2o!`

I found a 4G synth for the RHS (junk and blinker), but I couldn't find any way of making the spark without it interfering with the RHS:

16.228 has over 1000 occurrences on Catagolue so I wouldn't be inclined to spend too long on any particular soup.

EDIT: I spent some time making reductions to certain strategically chosen still lifes. It brought about a dozen more below 16G. Also here is 16.1682 in 15G:

`x = 141, y = 162, rule = B3/S2341bo\$40bo\$40b3o4\$35bo9bobo\$34bo10b2o\$34b3o9bo8\$42bo\$40b2o\$31bo9b2o\$32bo\$30b3o4\$128b2o9b2o\$127bo2bo8b2o\$19b2o105bob2obo\$18bobo106bo2bo\$20bo107b2o63\$6bo\$4bobo\$5b2o2\$bo\$2bo41bo\$3o40bo\$43b3o5\$61bo\$61bobo\$61b2o18\$128b2o\$28b2o9b2o88bo\$27bo2bo8b2o86bo2b2o\$26bob2obo94bob2o2bo\$27bo2bo96bo2b2o\$28b2o99bo\$128b2o16\$22b2o\$21bobo\$23bo7\$44b2o\$2o41b2o18bo\$b2o42bo16b2o\$o61bobo2\$5bo\$5b2o\$4bobo!`

Now 115 SLs remain:

`16.228     xs16_178bp2sg            2016.712     xs16_3pc0qmzw23          2016.872     xs16_2lla8oz065          2016.1084    xs16_31ke12kozw11        2016.1127    xs16_giligoz104a4        2016.1693    xs16_8k8aliczw23         2016.1962    xs16_4a9eg8ozw65         2016.2058    xs16_69akg4czx146        2016.131     xs16_660uhar             1916.230     xs16_178jd2ko            1916.801     xs16_08eharz321          1916.1684    xs16_4aab9k8zx32         1916.1694    xs16_4a5p6o8zx121        1916.1912    xs16_at16426z32          1916.1979    xs16_4ap30ga6zw121       1916.2050    xs16_6ik8a52z065         1916.2200    xs16_06agc93z2521        1916.2307    xs16_6ik8a52z641         1916.155     xs16_3pabp46             1816.600     xs16_6421344og84c        1816.665     xs16_699mkiczx1          1816.848     xs16_ca9b8oz0252         1816.914     xs16_8kkja952zx1         1816.926     xs16_3iajc4gozw1         1816.1107    xs16_02egdbz2521         1816.1130    xs16_oe12koz01ac         1816.1558    xs16_3loz1226io          1816.1757    xs16_g8idik8z123         1816.1790    xs16_178cia4z0321        1816.1911    xs16_69q3213z32          1816.1990    xs16_8e1tazx1252         1816.2201    xs16_0ggml96z641         1816.2447    xs16_0g8it248cz23        1816.2480    xs16_3iaczw1139c         1816.227     xs16_5b8r5426            1716.265     xs16_259m861ac           1716.380     xs16_4a40vh248c          1716.616     xs16_i5pajoz11           1716.640     xs16_c9bkkozw32          1716.716     xs16_3pmk46zx23          1716.748     xs16_39ege2z321          1716.799     xs16_c8al56z311          1716.803     xs16_c9bk46z311          1716.875     xs16_4a5pa4z2521         1716.1064    xs16_39m88cz6221         1716.1097    xs16_ck0ol3z643          1716.1276    xs16_3iakgozw1ac         1716.1398    xs16_g88c93zc952         1716.1685    xs16_c48n98czx23         1716.1711    xs16_c8idik8z023         1716.1715    xs16_64p784czw23         1716.1722    xs16_4aq32acz032         1716.1758    xs16_4a4o796zw121        1716.1847    xs16_39c8a52z033         1716.1871    xs16_5bo8ge2z32          1716.1882    xs16_259m453zx23         1716.1905    xs16_8u16853z32          1716.2045    xs16_25ao8ge2z032        1716.2132    xs16_0g8it2sgz23         1716.2162    xs16_0at16426z32         1716.2316    xs16_0at16413z32         1716.2356    xs16_25icggozx1ac        1716.2467    xs16_0kc3213z34a4        1716.2555    xs16_4a9jzxpia4          1716.3163    xs16_wo443123zbd         1716.3164    xs16_wo443146zbd         1716.104     xs16_0j5ozj4pz11         1616.115     xs16_0ol3z0mdz32         1616.243     xs16_2egu16426           1616.300     xs16_9fg4czbd            1616.302     xs16_5b8o642ac           1616.350     xs16_312461tic           1616.360     xs16_2egu16413           1616.593     xs16_3123c48gka4         1616.724     xs16_j5o64koz11          1616.762     xs16_jhke1e8z1           1616.771     xs16_69qb8oz32           1616.772     xs16_3h4e1daz011         1616.810     xs16_ca9la4z311          1616.822     xs16_8ehikozw56          1616.836     xs16_4aajkczx56          1616.838     xs16_ci9b8ozw56          1616.856     xs16_kc32acz1252         1616.953     xs16_0cil56z6221         1616.995     xs16_0raik8z643          1616.1068    xs16_3lo0kcz6421         1616.1080    xs16_3lo0kcz3421         1616.1304    xs16_0okih3zc8421        1616.1391    xs16_ca168ozc8421        1616.1581    xs16_8o6413zrm           1616.1583    xs16_4a9jzxha6zx11       1616.1675    xs16_xj96z0mdz32         1616.1717    xs16_4aajk46zx121        1616.1739    xs16_g88r2qkz121         1616.1766    xs16_kc321e8z123         1616.1787    xs16_069m4koz311         1616.1864    xs16_31ke1e8z032         1616.1929    xs16_0g5r8b5z121         1616.1994    xs16_0g9fgka4z121        1616.2025    xs16_069q48cz2521        1616.2028    xs16_25ao48cz2521        1616.2029    xs16_25ao4a4z2521        1616.2030    xs16_0i5q8a52z121        1616.2060    xs16_69akg4czx56         1616.2190    xs16_032q4goz6413        1616.2204    xs16_0gilla4z641         1616.2219    xs16_0oe12koz643         1616.2305    xs16_6413ia4z6421        1616.2317    xs16_cik8a52z641         1616.2322    xs16_raak8zx1252         1616.2323    xs16_ra248goz056         1616.2445    xs16_ciligzx254c         1616.2549    xs16_g4c3213zdb          1616.2630    xs16_31e8gzxo9a6         1616.3032    xs16_1784ozx342sg        16`
chris_c

Posts: 895
Joined: June 28th, 2014, 7:15 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.228 in 9 gliders:

`x = 41, y = 24, rule = B3/S236\$13bo\$7bobob2o16bo\$8b2o2b2o4bo9bo\$8bo9bobo7b3o\$18b2o2\$17bo3b2o\$17b2o2bobo\$12bo3bobo2bo\$13bo11b3o\$11b3o11bo\$15b2o9bo\$14bobo\$16bo!`

chris_c wrote:EDIT: I spent some time making reductions to certain strategically chosen still lifes. It brought about a dozen more below 16G. Also here is 16.1682 in 15G:...

Nice work on 16.1682! I had spent a while on it without success.

EDIT:

16.1057 in 9 gliders:

`x = 33, y = 51, rule = B3/S2332bo\$30b2o\$31b2o3\$18bobo\$18b2o\$19bo22\$11bo\$12b2o\$11b2o2bobo\$15b2o\$16bo2\$4b3o\$2o2bo\$b2o2bo\$o2\$6b3o\$6bo\$7bo2\$13bo\$12bo\$12b3o2\$15b3o\$15bo\$16bo!`

This should give 16.872 in 13 or 14 gliders.

EDIT2:

Reduced 16.1084 in 18 gliders, using a similar method for what Sokwe used for 16.1979:

`x = 224, y = 39, rule = B3/S23170bobo\$171b2o\$171bo4\$25bobo\$25b2o\$26bo2\$182bo\$183b2o\$2bo10b2o167b2o\$obo6b2o2bobo\$b2o5bobo2bo167bo\$10bo17bobo150b2o\$28b2o150bobo\$29bo32bo95bo29bo\$38bo21bobo5bo29bo22bo6bo28bobo2b2o23bobo2b2o25bo2b2o\$37bobo2b2o17b2o4bobo2b2o23bobo2b2o15bobo5bobo2b2o22bobobo2bo22bobobo2bo24bobo2bo\$38bobo2bo24bobo2bo22bobobo2bo16b2o4bobobo2bo21bobo2b2o23bobo2b2o25bo2b2o\$40b2o21b3o4b2o25bo2b2o25bo2b2o24bo3bo25bo3bo25bo3bo\$40bo24bo4bo29bo21b3o5bo30bo29bo24b2o3bo\$41bo22bo6bo29bo22bo6bo28b2o28b2o28b2o\$40b2o28b2o28b2o21bo6b2o2\$188bo\$10b3o174b2o\$12bo168bo5bobo\$11bo169b2o\$180bobo4\$3o184b3o\$2bo184bo\$bo19bo166bo\$20b2o\$20bobo!`

Goldtiger997

Posts: 531
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 16 in 16: Efficient 16-bit Synthesis Project

Predecessor for 16.1127:

`x = 27, y = 8, rule = B3/S238b2o\$7bo2bo\$10bo15bo\$2o5b3o10bo3b2o\$b2o3bo10b3o5b2o\$o15bo\$16bo2bo\$17b2o!`

I spent a long time on it without success, can anyone else use it?...

Goldtiger997

Posts: 531
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 16 in 16: Efficient 16-bit Synthesis Project

I tried to reduce 16.1693 via the honeycomb, but I was only able to get it down to 18:
`x = 25, y = 26, rule = B3/S2310bo\$9bo9bo\$9b3o5b2o\$18b2o6\$9b2o4bo\$b3o4bo2bo2bobo\$3bo3bob2obo2bo\$2bo5bo2bo\$9b2o\$22b3o\$22bo\$23bo\$18b2o\$18bobo\$9b2o7bo\$9bobo\$b2o6bo\$obo\$2bo10b2o\$13bobo\$13bo!`

I tried to find a 3G replacement for the tub+3G part on the right, but I was unsuccessful.

Edit: The last step of 16.1682 can be reduced by 1:
`x = 30, y = 32, rule = B3/S2314bobo\$14b2o\$15bo6\$26bobo\$26b2o\$27bo\$11b2o9b2o\$10bo2bo8b2o\$9bob2obo\$bo8bo2bo9bo\$b2o8b2o10b2o\$obo19bobo7\$9b2o\$b2o6bobo\$obo6bo17b3o\$2bo24bo\$28bo2\$5b3o\$7bo\$6bo!`

Edit 2: The last step of 16.1373 can also be reduced by 1:
`x = 15, y = 18, rule = B3/S238bobo\$9b2o\$4bo4bo3bo\$4b3o5b2o\$7bo4bobo\$6bobo\$6bobo\$7bo2\$bobo\$2b2o2b3o\$2bo3\$9b2o\$b2o5b2o\$obo7bo\$2bo!`
-Matthias Merzenich
Sokwe
Moderator

Posts: 1479
Joined: July 9th, 2009, 2:44 pm

### Re: 16 in 16: Efficient 16-bit Synthesis Project

Goldtiger997 wrote:...
16.1057 in 9 gliders:

`x = 33, y = 51, rule = B3/S2332bo\$30b2o\$31b2o3\$18bobo\$18b2o\$19bo22\$11bo\$12b2o\$11b2o2bobo\$15b2o\$16bo2\$4b3o\$2o2bo\$b2o2bo\$o2\$6b3o\$6bo\$7bo2\$13bo\$12bo\$12b3o2\$15b3o\$15bo\$16bo!`

This should give 16.872 in 13 or 14 gliders.

...

This give 16.872 in 13 gliders.
`x = 88, y = 51, rule = B3/S2332bo\$30b2o\$31b2o3\$18bobo\$18b2o\$19bo13\$67bo\$66bo\$66b3o4\$66bo\$64b2o8bo\$61bo3b2o6bo\$11bo50bo10b3o\$12b2o46b3o\$11b2o2bobo\$15b2o\$16bo2\$4b3o\$2o2bo41b2o18b2o17b2o\$b2o2bo41bo19bo18bo\$o44bo19bo19bo\$42bo2b2o15bo2b2o15bo2b2o\$6b3o33b3o17b3o17b3o\$6bo38b2o18b2o18b2o\$7bo36bo2bo16bo2bo16bo2bo\$45b2o18b2o18b2o\$13bo\$12bo\$12b3o2\$15b3o\$15bo\$16bo!`

Bob Shemyakin
BobShemyakin

Posts: 214
Joined: June 15th, 2014, 6:24 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

I found a way to get 16.1084 in 16G and 16.1979 in 17G:

`x = 80, y = 39, rule = B3/S233bo\$4b2o53bo\$3b2o12bo39bobo\$17bobo38b2o\$17b2o43bo\$60b2o\$61b2o4\$5bo48bo\$2o2bobo46bobo\$o2bobobo44bobobo\$2b2o2bo45bo2bobo\$3bo47b2o3bo\$2bo47bo\$2b2o47bobo\$52b2o3\$9b2o4b3o\$8b2o5bo43b2o4b3o\$3b2o5bo5bo41b2o5bo\$2bobo48b2o5bo5bo\$4bo47bobo\$54bo10\$27b3o\$27bo49b3o\$28bo48bo\$78bo!`

Goldtiger997 wrote:Predecessor for 16.1127:

`x = 27, y = 8, rule = B3/S238b2o\$7bo2bo\$10bo15bo\$2o5b3o10bo3b2o\$b2o3bo10b3o5b2o\$o15bo\$16bo2bo\$17b2o!`

I spent a long time on it without success, can anyone else use it?...

I found plenty of 4G syntheses for that junk so here is a 10G synthesis:

`x = 134, y = 156, rule = B3/S234bo\$5bo\$3b3o8\$115bo\$114bobo\$22bo91bo2bo\$20bobo92b2o\$21b2o10\$25b2o\$25bobo103b2o\$25bo104bo2bo\$131bobo\$132bo8\$42b3o\$42bo\$43bo45\$o\$b2o\$2o13\$40bobo\$40b2o\$41bo5\$43bo\$42bo\$42b3o3\$15bo\$14bobo\$14bo2bo\$15b2o2\$123bo\$122bobo\$123bo\$126bo\$121b6o\$121bo\$124bo\$123bobo\$124bo2\$31b2o\$30bo2bo\$31bobo\$32bo3\$3b3o\$5bo\$4bo5\$6bo\$6b2o\$5bobo13\$46b2o\$45b2o\$47bo!`

Were there any 3G syntheses for the junk? I didn't check. If so I guess there will be a 4G version that is compatible with it.

Sokwe wrote:I tried to reduce 16.1693 via the honeycomb, but I was only able to get it down to 18:
`x = 25, y = 26, rule = B3/S2310bo\$9bo9bo\$9b3o5b2o\$18b2o6\$9b2o4bo\$b3o4bo2bo2bobo\$3bo3bob2obo2bo\$2bo5bo2bo\$9b2o\$22b3o\$22bo\$23bo\$18b2o\$18bobo\$9b2o7bo\$9bobo\$b2o6bo\$obo\$2bo10b2o\$13bobo\$13bo!`

I tried to find a 3G replacement for the tub+3G part on the right, but I was unsuccessful.

By keeping your glider in the lower right and finding a 3G collision that worked for the rest, I reduced this by two. Sadly that still means 16G if the honeycomb costs 7G:

`x = 24, y = 26, rule = B3/S2310bo12bo\$9bo11b2o\$9b3o3bo6b2o\$15bobo\$15b2o3\$15b2o\$15bobo\$9b2o4bo\$b3o4bo2bo\$3bo3bob2obo\$2bo5bo2bo\$9b2o4\$18b2o\$18bobo\$9b2o7bo\$9bobo\$b2o6bo\$obo\$2bo10b2o\$13bobo\$13bo!`

The new list contains 106 entries:

`16.712     xs16_3pc0qmzw23          2016.1962    xs16_4a9eg8ozw65         2016.2058    xs16_69akg4czx146        2016.131     xs16_660uhar             1916.230     xs16_178jd2ko            1916.801     xs16_08eharz321          1916.1684    xs16_4aab9k8zx32         1916.1694    xs16_4a5p6o8zx121        1916.1912    xs16_at16426z32          1916.2050    xs16_6ik8a52z065         1916.2200    xs16_06agc93z2521        1916.2307    xs16_6ik8a52z641         1916.155     xs16_3pabp46             1816.600     xs16_6421344og84c        1816.665     xs16_699mkiczx1          1816.848     xs16_ca9b8oz0252         1816.914     xs16_8kkja952zx1         1816.926     xs16_3iajc4gozw1         1816.1107    xs16_02egdbz2521         1816.1130    xs16_oe12koz01ac         1816.1558    xs16_3loz1226io          1816.1757    xs16_g8idik8z123         1816.1790    xs16_178cia4z0321        1816.1911    xs16_69q3213z32          1816.1990    xs16_8e1tazx1252         1816.2201    xs16_0ggml96z641         1816.2447    xs16_0g8it248cz23        1816.2480    xs16_3iaczw1139c         1816.227     xs16_5b8r5426            1716.265     xs16_259m861ac           1716.380     xs16_4a40vh248c          1716.616     xs16_i5pajoz11           1716.640     xs16_c9bkkozw32          1716.716     xs16_3pmk46zx23          1716.748     xs16_39ege2z321          1716.799     xs16_c8al56z311          1716.875     xs16_4a5pa4z2521         1716.1064    xs16_39m88cz6221         1716.1097    xs16_ck0ol3z643          1716.1276    xs16_3iakgozw1ac         1716.1398    xs16_g88c93zc952         1716.1685    xs16_c48n98czx23         1716.1711    xs16_c8idik8z023         1716.1722    xs16_4aq32acz032         1716.1758    xs16_4a4o796zw121        1716.1847    xs16_39c8a52z033         1716.1871    xs16_5bo8ge2z32          1716.1882    xs16_259m453zx23         1716.1905    xs16_8u16853z32          1716.1979    xs16_4ap30ga6zw121       1716.2045    xs16_25ao8ge2z032        1716.2132    xs16_0g8it2sgz23         1716.2162    xs16_0at16426z32         1716.2316    xs16_0at16413z32         1716.2356    xs16_25icggozx1ac        1716.2467    xs16_0kc3213z34a4        1716.2555    xs16_4a9jzxpia4          1716.3163    xs16_wo443123zbd         1716.3164    xs16_wo443146zbd         1716.104     xs16_0j5ozj4pz11         1616.115     xs16_0ol3z0mdz32         1616.243     xs16_2egu16426           1616.300     xs16_9fg4czbd            1616.302     xs16_5b8o642ac           1616.360     xs16_2egu16413           1616.593     xs16_3123c48gka4         1616.724     xs16_j5o64koz11          1616.762     xs16_jhke1e8z1           1616.771     xs16_69qb8oz32           1616.772     xs16_3h4e1daz011         1616.810     xs16_ca9la4z311          1616.822     xs16_8ehikozw56          1616.836     xs16_4aajkczx56          1616.838     xs16_ci9b8ozw56          1616.856     xs16_kc32acz1252         1616.995     xs16_0raik8z643          1616.1068    xs16_3lo0kcz6421         1616.1080    xs16_3lo0kcz3421         1616.1084    xs16_31ke12kozw11        1616.1304    xs16_0okih3zc8421        1616.1391    xs16_ca168ozc8421        1616.1583    xs16_4a9jzxha6zx11       1616.1675    xs16_xj96z0mdz32         1616.1693    xs16_8k8aliczw23         1616.1717    xs16_4aajk46zx121        1616.1739    xs16_g88r2qkz121         1616.1766    xs16_kc321e8z123         1616.1787    xs16_069m4koz311         1616.1864    xs16_31ke1e8z032         1616.1929    xs16_0g5r8b5z121         1616.1994    xs16_0g9fgka4z121        1616.2025    xs16_069q48cz2521        1616.2028    xs16_25ao48cz2521        1616.2029    xs16_25ao4a4z2521        1616.2030    xs16_0i5q8a52z121        1616.2060    xs16_69akg4czx56         1616.2190    xs16_032q4goz6413        1616.2204    xs16_0gilla4z641         1616.2219    xs16_0oe12koz643         1616.2305    xs16_6413ia4z6421        1616.2317    xs16_cik8a52z641         1616.2322    xs16_raak8zx1252         1616.2323    xs16_ra248goz056         1616.2445    xs16_ciligzx254c         1616.2630    xs16_31e8gzxo9a6         1616.3032    xs16_1784ozx342sg        16`
chris_c

Posts: 895
Joined: June 28th, 2014, 7:15 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

Picking from the boring 16Gs farther down the list, so's I don't get in the way of people who actually know what they're doing --

`#C 16.724 / xs16_j5o64koz11 in 11 glidersx = 43, y = 43, rule = B3/S2313bobo\$14b2o\$14bo25bobo\$20bo19b2o\$21b2o18bo\$20b2o6\$2bo33bo\$obo32bo\$b2o32b3o2\$41b2o\$15bo24b2o\$16bo25bo\$14b3o2\$20b2o\$21b2o\$20bo6\$39b3o\$39bo\$40bo6\$36b3o\$36bo\$37bo2\$18b2o\$17bobo\$19bo!`

I looked at all the likely Catagolue soups for this one, I think. The only other one that might be cheaper was the one on the far left below, but I didn't find a 3G recipe for the spark at the lower right, and didn't feel like venturing into 4G territory to end up with a relatively messy synthesis. The reaction I used is at the far right, from this soup:

`x = 495, y = 22, rule = B3/S23283bo196b3obo2bo4b2o\$283bo195b7obo2bob2o\$bobo279bo197bo2bobobo2b2obo\$o2bo476b8obob2o\$o2bo176b2o91b3o208b5o2b2o\$b2o68b2o4b2o88b2o3b2o7bo91b3o206bo2bobobo\$5b3o63b2o3bo2bo5bo81b2o3b2o5b2o93bo205bobo2b3o2bobobo\$6bo70b2o2b3obo92b3o299bob2ob3obo\$81b3o2bo91bo302b3o2b3o2bobo\$13bo57b2o200b3o203b2o4bob3obob2o\$13b3o55b2o200bo205bo4bob3obob3o\$10bobob2o257b3o205bo2bo3bob3obo\$11bobo466bo2b2obob3o2bo\$11bo70b3o396b4obob3o2bo\$82bo2bo394bobo4bobob2obo\$82bo2bo393b2ob4ob3ob4o\$83b3o186b2o\$173b2o96bo2bo\$172bo2bo6bo89bobo\$173b2o7bo90bo2bo\$169b2o11bo94bo\$169b2o103bobo!`

Only 105 16-bitters left -- y'all will be in two-digit territory soon! (This was probably my last token contribution for this round, since I'm supposed to be working on finishing up the Life Lexicon for the next week.)

dvgrn
Moderator

Posts: 5750
Joined: May 17th, 2009, 11:00 pm

### Re: 16 in 16: Efficient 16-bit Synthesis Project

dvgrn wrote:Picking from the boring 16Gs farther down the list, so's I don't get in the way of people who actually know what they're doing --

Don't worry about that! The following still lifes are at 16G and above in my list and have at least 100 appearances on Catagolue. If anyone wants to give them a crack I know that I will be happy.

`16.131     xs16_660uhar                             19  375916.1739    xs16_g88r2qkz121                         16  225616.665     xs16_699mkiczx1                          18  189616.748     xs16_39ege2z321                          17  139016.799     xs16_c8al56z311                          17  120016.810     xs16_ca9la4z311                          16  47616.360     xs16_2egu16413                           16  36616.848     xs16_ca9b8oz0252                         18  36316.1717    xs16_4aajk46zx121                        16  33616.995     xs16_0raik8z643                          16  32516.1722    xs16_4aq32acz032                         17  31916.265     xs16_259m861ac                           17  27716.716     xs16_3pmk46zx23                          17  27516.1757    xs16_g8idik8z123                         18  27116.2060    xs16_69akg4czx56                         16  26816.1684    xs16_4aab9k8zx32                         19  17016.1990    xs16_8e1tazx1252                         18  14616.243     xs16_2egu16426                           16  13816.822     xs16_8ehikozw56                          16  11416.2445    xs16_ciligzx254c                         16  10616.1787    xs16_069m4koz311                         16  105`
chris_c

Posts: 895
Joined: June 28th, 2014, 7:15 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.1962 in 12 gliders (EDIT: error pointed out below by BobShemyakin):

`x = 56, y = 63, rule = B3/S232bo\$obo\$b2o12\$14bo\$15bo16bo3bo\$13b3o17bo2bobo\$31b3o2b2o4\$39bo\$38bo\$38b3o2\$38bo\$38b2o\$37bobo9\$32bo\$30b2o\$31b2o\$34b3o\$34bo5b3o\$35bo4bo\$41bo4\$11bo\$11b2o40b2o\$10bobo40bobo\$53bo11\$6b2o\$5bobo\$7bo!`

chris_c wrote:Were there any 3G syntheses for the junk? I didn't check. If so I guess there will be a 4G version that is compatible with it.

None found with gencols and your golly script anyway. I know that method misses at least a few collisions (e.g no bipond).

EDIT:

16.2060 in 8 gliders, and 16.2058 in 13 gliders:

`x = 119, y = 38, rule = B3/S2325bo\$24bo\$24b3o\$20bo\$21bo\$19b3o72bo\$94bobo\$94b2o2\$96bo\$21b2o2b2o68b2o\$20bobo2bobo67bobo\$22bo2bo26b2o28b2o28b2o\$51bo2bo26bo2bo26bo2bo\$52bobo27bobo27bobo\$22b2o29bob2obo24bob2obo5b3o16bob2o\$21b2o32bob2o26bob2o5bo20bo2bo\$23bo29bo29bo11bo17bo3b2o\$53b2o28b2o28b2o2\$21bo\$20b2o\$20bobo72b3o\$16b2o68b2o7bo\$15bobo67bobo8bo\$17bo69bo10\$b2o\$obo\$2bo!`

Now there is only one still-life costing 20G or more; 16.712.

Looking at the current synthesis, it takes 6 gliders to make a smallish piece of junk by colliding a pi, a beehive, and a beacon. Is there a way to make it in 4 gliders?...

`x = 131, y = 123, rule = B3/S2373bo\$72bo\$72b3o49b2o\$124bo3b2o\$126bo2bo\$125b2obo\$125bo2b2o\$23b3o101bo\$126b2o4\$28b2o98b2o\$28b2o73b2o23b2o\$19bo18b3o62b2o\$19bo90b2o\$19bo16bo5bo67b2o\$6bo29bo5bo\$6bo29bo5bo\$6bo\$38b3o69b2o\$110b2o8\$119b2o\$118bo2bo\$118bo2bo\$101b2o16b2o\$101b2o5\$113b2o\$112bo2bo\$113b2o13\$57b3o\$57bo6b3o\$58bo5bo\$65bo\$b2o\$obo\$2bo2\$76b3o\$68b2o6bo\$68bobo6bo\$68bo43\$129b2o\$128b2o\$130bo11\$124b2o\$123b2o\$125bo!`

EDIT2:

Spend a while trying to make this predecessor for 16.313 work without success:

`x = 19, y = 21, rule = B3/S23o\$b2o\$2o8\$12bo\$9bobo\$10bo4b3o\$8bo5bo3bo\$7bobo4bo3bo\$8b2o4bo3bo\$15b3o3\$16b2o\$16b2o!`

Can anyone else...
Last edited by Goldtiger997 on May 7th, 2017, 8:48 am, edited 1 time in total.

Goldtiger997

Posts: 531
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.1685 in eight:
`x = 34, y = 60, rule = B3/S23o\$b2o\$2o17\$2bo\$obo\$b2o5\$7bo\$8bo\$6b3o3\$bobo\$2b2o\$2bo2\$26bobo\$26b2o\$27bo2\$25b3o\$25bo5bobo\$26bo4b2o\$32bo15\$10b2o\$11b2o\$10bo!`

16.1711 in eleven:
`x = 38, y = 35, rule = B3/S232bo\$obo\$b2o3\$25bobo\$13bo11b2o\$14bo11bo\$12b3o3\$18bo\$16bobo7bo\$17b2o6bo\$25b3o4bobo\$32b2o\$33bo\$16bobo\$17b2o\$17bo9\$32b2o\$32bobo\$14b2o16bo\$13bobo6bo\$15bo6b2o11b2o\$21bobo11bobo\$35bo!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1785
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 16 in 16: Efficient 16-bit Synthesis Project

Goldtiger997 wrote:16.1962 in 12 gliders:

`x = 56, y = 63, rule = B3/S232bo\$obo\$b2o12\$14bo\$15bo16bo3bo\$13b3o17bo2bobo\$31b3o2b2o4\$39bo\$38bo\$38b3o2\$38bo\$38b2o\$37bobo9\$32bo\$30b2o\$31b2o\$34b3o\$34bo5b3o\$35bo4bo\$41bo4\$11bo\$11b2o40b2o\$10bobo40bobo\$53bo11\$6b2o\$5bobo\$7bo!`
...

This is a mistake. 2 gliders (marked on the left side of the chart) interact before. To fix it will replace 2 gliders, forming PI (marked on the right side of the chart):
`x = 138, y = 63, rule = LifeHistory2.A69.A\$A.A67.A.A\$.2A68.2A12\$14.A69.A\$15.A16.A3.A48.A16.A3.A\$13.3A17.A2.A.A44.3A17.A2.A.A\$31.3A2.2A63.3A2.2A4\$39.A69.A\$38.A69.A\$38.3A67.3A2\$38.E69.A\$38.2E68.2A23.A\$37.E.E67.A.A22.A.A\$131.A2.A\$132.3A.2A\$135.A.A\$134.A\$133.A\$133.2A3\$32.E64.E\$30.2E66.2E3.E\$31.2E64.2E3.2E\$34.3A65.E.E\$34.A5.3A67.3A\$35.A4.A69.A\$41.A69.A4\$11.A69.A\$11.2A40.2A26.2A40.2A\$10.A.A40.A.A24.A.A40.A.A\$53.A69.A11\$6.2A68.2A\$5.A.A67.A.A\$7.A69.A!`

Bob Shemyakin
BobShemyakin

Posts: 214
Joined: June 15th, 2014, 6:24 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

Goldtiger997 wrote:Now there is only one still-life costing 20G or more; 16.712.

Looking at the current synthesis, it takes 6 gliders to make a smallish piece of junk by colliding a pi, a beehive, and a beacon. Is there a way to make it in 4 gliders?...

I didn't find anything.... I searched for pairs of gliders colliding at 90 degrees where the first gliders in each pair are between 0 and 19 ticks out of step and the rearward gliders are in a 14x14 rectangle somewhere behind the first.

Goldtiger997 wrote:Spend a while trying to make this predecessor for 16.313 work without success:

`x = 19, y = 21, rule = B3/S23o\$b2o\$2o8\$12bo\$9bobo\$10bo4b3o\$8bo5bo3bo\$7bobo4bo3bo\$8b2o4bo3bo\$15b3o3\$16b2o\$16b2o!`

Can anyone else...

Got this one done in 8G. There were plenty of reactions that give that Pi + Block but it still took quite some time to find one compatible with the traffic light

`x = 33, y = 28, rule = Life30bo\$30bobo\$30b2o\$22bobo\$22b2o\$15bo7bo\$16b2o\$15b2o10\$19b3o\$15bo3bo\$15b2o3bo\$14bobo3\$26b2o\$9b3o14bobo\$2o9bo14bo\$b2o7bo\$o!`

Here is some stuff I worked on...

15.941 in 7G gives 16.1979 in 15G:

`x = 137, y = 255, rule = Lifeobo\$b2o\$bo5\$33bobo\$33b2o\$34bo3\$20bo25bobo\$21b2o23b2o\$20b2o25bo3\$33b3o\$33bo\$34bo7\$131b2o\$130bobo\$129bo\$130b2o\$131bo2bo\$131bobobo\$132bobo\$133bo4\$46b3o\$46bo\$47bo2\$54b2o\$54bobo\$54bo78\$44bo\$43bo\$43b3o3\$31b2o98b2o\$30bobo97bobo\$29bo99bo\$30b2o98b2o3bo\$31bo2bo96bo2bobo\$31bobobo95bobobo\$32bobo97bobo\$33bo99bo4\$46b2o\$46bobo\$46bo54\$69bo\$68bo\$68b3o11\$21bo\$19bobo\$20b2o29bo5bo\$49b2o5bo\$50b2o4b3o16\$31b2o98b2o\$30bobo97bobo2b2o\$29bo99bo6bo\$30b2o3bo94b2o3bo\$31bo2bobo94bo2bo\$31bobobo95bobo\$32bobo97bo\$33bo16\$52b2o\$51b2o\$53bo\$25b2o\$24bobo\$26bo!`

14.359 in 7G gives 16.1084 in 15G:

`x = 126, y = 348, rule = Lifeo\$b2o\$2o\$23bo\$23bobo\$23b2o2\$24bo\$23b2o\$23bobo2\$124b2o\$124b2o\$120bo\$29b3o83b2o2bobo\$29bo85bo2bobo\$30bo86b2o\$118bo\$117bo\$117b2o14\$3o\$2bo\$bo38b3o\$40bo\$41bo69\$29bo\$28bo\$28b3o3\$24b2o\$24b2o\$20bo99bo\$15b2o2bobo93b2o2bobo\$15bo2bobo94bo2bobo\$17b2o98b2o\$18bo99bo\$17bo99bo\$17b2o98b2o87\$32bo\$32bobo\$32b2o5\$20bo99bo\$15b2o2bobo93b2o2bobo\$15bo2bobo94bo2bobobo\$17b2o98b2o2bo\$18bo99bo\$17bo99bo\$17b2o98b2o3\$29b3o\$29bo\$30bo72\$12bo\$10bobo\$11b2o26bobo\$39b2o\$40bo13\$20bo\$15b2o2bobo93b2o2bo\$15bo2bobobo92bo2bobo\$17b2o2bo95b2o2bo\$18bo99bo3bo\$17bo99bo3b2o\$17b2o98b2o11\$31b2o5b2o\$31bobo3b2o\$11bo19bo7bo\$11b2o\$10bobo11\$50b2o\$49b2o\$51bo!`

In a related way 13.212 in 6G (this turned out to give 16.762 and 16.1864 in 15G together with quite a few other reductions):

`x = 21, y = 28, rule = Lifebo\$2bo\$3o3\$6bo\$7b2o\$6b2o3\$11bo\$10bo\$6bo3b3o\$7bo\$5b3o11\$5b2o12b2o\$4bobo11b2o\$6bo13bo!`

This is the list of improvements in the current batch. Shout if I missed anything.

`+16.762     xs16_jhke1e8z1           15+16.1084    xs16_31ke12kozw11        15+16.1864    xs16_31ke1e8z032         15+16.1979    xs16_4ap30ga6zw121       15+16.1395    xs16_c48c9jzwca1         14+15.868     xs15_628q552z032         13+16.2058    xs16_69akg4czx146        13+16.2221    xs16_6iog853z56          13+16.1056    xs16_25icz643146         12+16.1962    xs16_4a9eg8ozw65         12+16.2298    xs16_31ke123z65          12+15.924     xs15_0j9c871z121         11+15.967     xs15_628s252z065         11+16.724     xs16_j5o64koz11          11+16.1711    xs16_c8idik8z023         11+16.2046    xs16_0j9c84koz121        11+16.2782    xs16_c4go4871zw65        11+16.2810    xs16_06iog853z252        11+15.655     xs15_c48c9jzx65          10+15.926     xs15_6iog853z32          10+16.972     xs16_j5c48ge2z11         10+16.2535    xs16_628s252zca1         10+14.355     xs14_5bo8goz32           9+15.652     xs15_31ke13z65           9+15.911     xs15_0j9c84cz321         9+16.1968    xs16_0j9c84cz1252        9+16.1978    xs16_0gs25acz1246        9+16.2075    xs16_0j9c84cz343         9+16.2754    xs16_c4go4a52zw65        9+15.871     xs15_0j9c84cz123         8+16.131     xs16_660uhar             8+16.1685    xs16_c48n98czx23         8+16.2060    xs16_69akg4czx56         8+16.2213    xs16_0j9c84cz643         8+14.359     xs14_0j9c84cz121         7+15.941     xs15_0gs25a4z1246        7+13.212     xs13_j5c48cz11           6`

This is the new list of outstanding SLs. There are 95:

`16.712     xs16_3pc0qmzw23          2016.230     xs16_178jd2ko            1916.801     xs16_08eharz321          1916.1684    xs16_4aab9k8zx32         1916.1694    xs16_4a5p6o8zx121        1916.1912    xs16_at16426z32          1916.2050    xs16_6ik8a52z065         1916.2200    xs16_06agc93z2521        1916.2307    xs16_6ik8a52z641         1916.155     xs16_3pabp46             1816.600     xs16_6421344og84c        1816.665     xs16_699mkiczx1          1816.848     xs16_ca9b8oz0252         1816.914     xs16_8kkja952zx1         1816.926     xs16_3iajc4gozw1         1816.1107    xs16_02egdbz2521         1816.1130    xs16_oe12koz01ac         1816.1558    xs16_3loz1226io          1816.1757    xs16_g8idik8z123         1816.1790    xs16_178cia4z0321        1816.1911    xs16_69q3213z32          1816.1990    xs16_8e1tazx1252         1816.2201    xs16_0ggml96z641         1816.2447    xs16_0g8it248cz23        1816.2480    xs16_3iaczw1139c         1816.227     xs16_5b8r5426            1716.265     xs16_259m861ac           1716.380     xs16_4a40vh248c          1716.616     xs16_i5pajoz11           1716.640     xs16_c9bkkozw32          1716.716     xs16_3pmk46zx23          1716.748     xs16_39ege2z321          1716.799     xs16_c8al56z311          1716.875     xs16_4a5pa4z2521         1716.1064    xs16_39m88cz6221         1716.1097    xs16_ck0ol3z643          1716.1276    xs16_3iakgozw1ac         1716.1398    xs16_g88c93zc952         1716.1722    xs16_4aq32acz032         1716.1758    xs16_4a4o796zw121        1716.1847    xs16_39c8a52z033         1716.1871    xs16_5bo8ge2z32          1716.1882    xs16_259m453zx23         1716.1905    xs16_8u16853z32          1716.2045    xs16_25ao8ge2z032        1716.2132    xs16_0g8it2sgz23         1716.2162    xs16_0at16426z32         1716.2316    xs16_0at16413z32         1716.2356    xs16_25icggozx1ac        1716.2467    xs16_0kc3213z34a4        1716.2555    xs16_4a9jzxpia4          1716.3163    xs16_wo443123zbd         1716.3164    xs16_wo443146zbd         1716.104     xs16_0j5ozj4pz11         1616.115     xs16_0ol3z0mdz32         1616.243     xs16_2egu16426           1616.300     xs16_9fg4czbd            1616.302     xs16_5b8o642ac           1616.360     xs16_2egu16413           1616.593     xs16_3123c48gka4         1616.771     xs16_69qb8oz32           1616.772     xs16_3h4e1daz011         1616.810     xs16_ca9la4z311          1616.822     xs16_8ehikozw56          1616.836     xs16_4aajkczx56          1616.838     xs16_ci9b8ozw56          1616.856     xs16_kc32acz1252         1616.995     xs16_0raik8z643          1616.1068    xs16_3lo0kcz6421         1616.1080    xs16_3lo0kcz3421         1616.1304    xs16_0okih3zc8421        1616.1391    xs16_ca168ozc8421        1616.1583    xs16_4a9jzxha6zx11       1616.1675    xs16_xj96z0mdz32         1616.1693    xs16_8k8aliczw23         1616.1717    xs16_4aajk46zx121        1616.1739    xs16_g88r2qkz121         1616.1766    xs16_kc321e8z123         1616.1787    xs16_069m4koz311         1616.1929    xs16_0g5r8b5z121         1616.1994    xs16_0g9fgka4z121        1616.2025    xs16_069q48cz2521        1616.2028    xs16_25ao48cz2521        1616.2029    xs16_25ao4a4z2521        1616.2030    xs16_0i5q8a52z121        1616.2190    xs16_032q4goz6413        1616.2204    xs16_0gilla4z641         1616.2219    xs16_0oe12koz643         1616.2305    xs16_6413ia4z6421        1616.2317    xs16_cik8a52z641         1616.2322    xs16_raak8zx1252         1616.2323    xs16_ra248goz056         1616.2445    xs16_ciligzx254c         1616.2630    xs16_31e8gzxo9a6         1616.3032    xs16_1784ozx342sg        16`
chris_c

Posts: 895
Joined: June 28th, 2014, 7:15 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.155 in nine gliders:
`x = 26, y = 26, rule = B3/S2316bobo\$16b2o\$17bo\$11bo\$9bobo\$10b2o4\$8bo6bobo\$8bobo4b2o6bo\$8b2o6bo6bobo\$23b2o\$5bobo\$6b2o\$6bo\$2o\$b2o8b2o\$o11b2o\$11bo4\$21b3o\$21bo\$22bo!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1785
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.230 in 8 gliders:
`x = 91, y = 24, rule = B3/S2374bo\$73bo\$73b3o2\$83b2ob2o\$84bobobo\$84bo2bobo\$85bobo2bo\$86bo2b2o5\$56bobo\$26bo29b2o\$26bobo28bo\$26b2o\$o55b2o21b3o\$b2ob2o18b3o5bo22bo2bo3bo16bo\$2o2bobo19bo4bobo21bobo3bobo16bo\$4bo20bo6b2o22bo5b2o\$72b3o\$72bo\$73bo!`
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa

Posts: 472
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: 16 in 16: Efficient 16-bit Synthesis Project

Looks like AbhpzTa got in just before me with a better synthesis of 16.230

This was mine:

`x = 91, y = 65, rule = B3/S2390bo\$88b2o\$89b2o17\$32bo\$30bobo\$31b2o18bo\$50bo\$50b3o2\$27bobo2b2o19b3o\$28b2o2bobo18bo\$28bo3bo21bo6\$41b2o\$40bobo\$42bo2\$43b2o\$43bobo\$43bo11\$2o\$b2o\$o10\$88bo\$87b2o\$87bobo!`

chris_c wrote:
Goldtiger997 wrote:Spend a while trying to make this predecessor for 16.313 work without success:

`x = 19, y = 21, rule = B3/S23o\$b2o\$2o8\$12bo\$9bobo\$10bo4b3o\$8bo5bo3bo\$7bobo4bo3bo\$8b2o4bo3bo\$15b3o3\$16b2o\$16b2o!`

Can anyone else...

Got this one done in 8G. There were plenty of reactions that give that Pi + Block but it still took quite some time to find one compatible with the traffic light...

chris_c wrote:...LifeAPI code. This took the longest time. I intended to post-process this with Golly but it was taking too long. Instead I wrote a LifeAPI program to analyse a series of reactions and output the RLE of the generation that is N generations before the final pattern appears. N was equal to 12 in my case. I post-processed this file in Golly looking for the desired spark. That was still quite slow.

I could post the actual code before too long if there is any interest. It would need a little tidying up first though.

Yes, I would be very grateful if you could post the code. It would help with many syntheses like the one you reduced to 8G in your last post.

EDIT:

16.1684 in 9 gliders:

`x = 34, y = 41, rule = B3/S2313bo\$11b2o\$12b2o3\$16bo\$16bobo\$16b2o9\$b2o\$obo\$2bo14bo\$16bo4bobo\$16b3o2b2o\$22bo2\$19b3o\$19bo\$20bo7\$3o\$2bo\$bo29b3o\$31bo\$32bo2\$23b2o\$23bobo\$23bo!`

Goldtiger997

Posts: 531
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

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