16 in 16: Efficient 16-bit Synthesis Project

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
BobShemyakin
Posts: 214
Joined: June 15th, 2014, 6:24 am

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

Post by BobShemyakin » March 14th, 2017, 3:41 pm

16.1696 in 15G:

Code: Select all

x = 100, y = 49, rule = B3/S23
32bobo$32b2o$33bo11$69bo$14bo55b2o$12b2o55b2o$13b2o$73bobo4bo$14bo54b
2o2b2o4bo$13b2o54bobo2bo4b3o$13bobo2bo50bo$18bobo$18b2o2$45bo19bo29bo$
44bobo2bo14bobo2bo24bobo$43bo2b4o13bo2b4o23bo2b3o$44b2o18b2o28b2o3bo$
46b2o18b2o6bobo19b2obo$46bobo17bobo5b2o20bobo$47bo19bo7bo21bo6$75b2o$
75bobo$4b3o68bo$6bo$5bo$b2o$obo60b3o$2bo62bo$64bo$30b2o$2b2o25b2o$bobo
27bo$3bo!
Bob Shemyakin

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

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

Post by chris_c » March 15th, 2017, 2:23 pm

Pushed another update. Here are a couple of improvements I made: 16.823 in 12G and 16.915 in 14G:

Code: Select all

x = 365, y = 236, rule = Life
18bo11bo$19bo10bobo$17b3o10b2o2$251bo$252b2o$126b3o122b2o102b2o$355bob
o$356bo$129b3o126b3o$258bo$259bo2$26b2o10b3o$25bobo10bo$27bo11bo77$51b
o191bo$50bo190bobo$50b3o189b2o2$270bo$270bobo$270b2o2$9bo$10bo265bo$8b
3o264bo$275b3o$138b2o222b2o$138b2o221bo2bo$26b3o97b3o126b2o104bobo$
255bobo102b2ob2o$256bo102bo2bo$29b3o97b3o228bobo$118b2o241bo$118b2o$
267b2o4bo$47b3o217bobo2b2o$47bo219bo4bobo$48bo$277b3o$277bo$278bo3$5b
3o$7bo$6bo51$284bo$233bo50bobo$234bo49b2o$232b3o3$42bobo$42b2o256bobo$
43bo256b2o$301bo$obo290bo$b2o290bobo$bo254bo36b2o$254bobo$255b2o15$
363bo$38b2o222b2o98bobo$27bo10b2o88b2o131bo2bo96bo2bo$27bo98b3obo130bo
bo97bobo$27bo97bo5bo128b2ob2o95b2ob2o$30bo95bo5bo126bo2bo96bo2bo$30bo
96bob3o128bobo97bobo$18b2o10bo97b2o131bo99bo$18b2o18$56bo$55b2o248b3o$
55bobo247bo$306bo$14bo$14b2o$13bobo!
Here are all the improvements since last time:

Code: Select all

+16.915     xs16_0gs2pmz1243         14
+16.106     xs16_31246116853         13
+16.557     xs16_1784cggc48c         13
+16.823     xs16_4ai3hik8zx11        12
+16.76      xs16_03lozgjkcz1         11
+16.105     xs16_0mp3zj4cz11         11
+16.114     xs16_c9jz6ahzw23         11
+16.442     xs16_0cai3z4aip          11
+16.1566    xs16_g8e123zpi6          11
+16.1654    xs16_0gs252zj4cz11       11
+16.1696    xs16_4a9mk4ozx121        10
+16.588     xs16_312461164ko         9
+15.396     xs15_8k4ra96zw1          8
+16.142     xs16_5b8raic             8
+16.1716    xs16_4a9mk46zx121        8
+16.626     xs16_69n8jdzx1           7
+16.663     xs16_69r4koz023          7
+16.1500    xs16_0g8e13zo9a6         7
+16.1701    xs16_4a9jc4ozx121        7
+16.641     xs16_c9baiczw32          6
Here is the new list of SLs sorted by frequency:

Code: Select all

16.202     xs16_354cgn96                            27  4612
16.657     xs16_695q4ozw321                         16  4403
16.131     xs16_660uhar                             19  3702
16.1856    xs16_39u06a4z32                          16  2408
16.1739    xs16_g88r2qkz121                         20  2219
16.1880    xs16_259q453z032                         25  1975
16.665     xs16_699mkiczx1                          18  1857
16.829     xs16_0md1e8z1226                         23  1475
16.748     xs16_39ege2z321                          17  1372
16.799     xs16_c8al56z311                          17  1176
16.642     xs16_6s1raa4zw1                          53  1101
16.228     xs16_178bp2sg                            20  1047
16.159     xs16_2egmd1e8                            21  960
16.765     xs16_4ap78cz321                          999 926
16.686     xs16_mkkb2acz1                           39  903
16.152     xs16_5b8r9ic                             999 897
16.2309    xs16_8kk31e8z641                         21  779
16.846     xs16_caab8oz0252                         999 684
16.19      xs16_caarz39c                            18  505
16.810     xs16_ca9la4z311                          16  471
16.1992    xs16_25is0cczw65                         16  470
16.1881    xs16_259q453zw32                         19  433
16.813     xs16_c4lb8oz321                          999 425
16.834     xs16_8u15a4z1226                         25  422
16.691     xs16_co2ticz23                           999 419
16.774     xs16_69raa4z32                           21  419
16.360     xs16_2egu16413                           16  360
16.848     xs16_ca9b8oz0252                         18  359
16.2014    xs16_25a8kk8z0253                        17  340
16.827     xs16_ciaj2ak8zw1                         999 329
16.1717    xs16_4aajk46zx121                        999 328
16.995     xs16_0raik8z643                          16  320
16.1722    xs16_4aq32acz032                         17  307
16.1940    xs16_c48q552z321                         999 281
16.716     xs16_3pmk46zx23                          32  272
16.265     xs16_259m861ac                           17  270
16.1757    xs16_g8idik8z123                         18  267
16.2060    xs16_69akg4czx56                         16  260
16.1773    xs16_ciarzx3213                          999 259
16.1703    xs16_4a9la8ozx121                        999 250
16.647     xs16_8k4r2pmzw1                          999 241
16.153     xs16_4a9r8jd                             999 227
16.18      xs16_caarzbd                             19  208
16.1684    xs16_4aab9k8zx32                         19  163
16.2174    xs16_08u164koz32                         27  160
16.353     xs16_321fgc453                           23  155
16.1740    xs16_69acga6zx32                         23  155
16.668     xs16_gbq1daz121                          17  152
16.1990    xs16_8e1tazx1252                         18  143
16.144     xs16_4aar2pm                             999 141
16.1857    xs16_39u0652z32                          16  141
16.243     xs16_2egu16426                           16  138
16.2018    xs16_25a8c826zw33                        18  125
16.819     xs16_ra178cz23                           999 120
16.619     xs16_j9ajkcz11                           999 120
16.126     xs16_69ir9ic                             999 117
16.822     xs16_8ehikozw56                          16  112
16.2445    xs16_ciligzx254c                         16  105
16.1787    xs16_069m4koz311                         16  104
16.953     xs16_0cil56z6221                         16  98
16.1991    xs16_8e1qbzx1252                         17  97
16.1929    xs16_0g5r8b5z121                         16  94
16.213     xs16_35861tic                            23  89
16.15      xs16_178c1f84c                           17  83
16.2295    xs16_0g8go8brz23                         24  74
16.155     xs16_3pabp46                             18  72
16.634     xs16_ca9diczw32                          999 71
16.1694    xs16_4a5p6o8zx121                        19  65
16.2347    xs16_g8861acz0db                         28  64
16.628     xs16_kc32qkz0113                         28  62
16.1847    xs16_39c8a52z033                         17  62
16.1954    xs16_8kk31e8z065                         21  61
16.731     xs16_3iajkcz23                           28  57
16.836     xs16_4aajkczx56                          16  57
16.833     xs16_0mp2sgz1243                         20  56
16.616     xs16_i5pajoz11                           17  53
16.640     xs16_c9bkkozw32                          999 49
16.801     xs16_08eharz321                          19  43
16.1904    xs16_8u164koz32                          32  41
16.795     xs16_c87p46z311                          53  39
16.230     xs16_178jd2ko                            19  39
16.927     xs16_4akgf9zw65                          18  38
16.2132    xs16_0g8it2sgz23                         17  38
16.804     xs16_c871arzx32                          999 36
16.313     xs16_3pm44og4c                           35  36
16.1754    xs16_695m88czx23                         999 35
16.1691    xs16_4a9l6o8zx121                        999 35
16.1106    xs16_0iu0dbz641                          25  35
16.2201    xs16_0ggml96z641                         18  32
16.1304    xs16_0okih3zc8421                        16  32
16.312     xs16_62s53zbd                            29  31
16.1391    xs16_ca168ozc8421                        16  31
16.929     xs16_3iaj2ak8zw1                         999 28
16.2541    xs16_g8861aczc93                         28  28
16.1994    xs16_0g9fgka4z121                        16  28
16.1846    xs16_25a8c93zw33                         23  27
16.623     xs16_o5r8jdz01                           27  23
16.227     xs16_5b8r5426                            17  23
16.856     xs16_kc32acz1252                         16  23
16.914     xs16_8kkja952zx1                         18  22
16.1791    xs16_03lkaa4z3201                        20  19
16.1702    xs16_4a5p68ozx121                        23  18
16.1464    xs16_08o696z6ip                          16  18
16.706     xs16_39s0qmz023                          24  17
16.1766    xs16_kc321e8z123                         16  17
16.621     xs16_g5r8jdz11                           25  14
16.723     xs16_i5p64koz11                          20  14
16.350     xs16_312461tic                           16  14
16.2219    xs16_0oe12koz643                         16  14
16.1962    xs16_4a9eg8ozw65                         999 13
16.1723    xs16_4ap64koz032                         999 13
16.1034    xs16_3lkaa4z065                          24  13
16.1790    xs16_178cia4z0321                        18  12
16.803     xs16_c9bk46z311                          17  12
16.278     xs16_32qj43146                           29  11
16.1323    xs16_031e8gzc9311                        29  11
16.786     xs16_3pa3ia4zw11                         28  11
16.724     xs16_j5o64koz11                          16  11
16.1758    xs16_4a4o796zw121                        17  10
16.996     xs16_2lm853z056                          16  9
16.2546    xs16_j9cz122c84c                         16  9
16.2542    xs16_g88c871zc93                         16  9
16.682     xs16_69j0j9czx11                         999 8
16.3163    xs16_wo443123zbd                         17  8
16.838     xs16_ci9b8ozw56                          16  8
16.2302    xs16_4ap6413z65                          16  8
16.695     xs16_5b8bl8zx32                          25  7
16.872     xs16_2lla8oz065                          20  7
16.1995    xs16_cik8a52z065                         18  7
16.1127    xs16_giligoz104a4                        32  6
16.1680    xs16_8e123ckzx311                        17  6
16.2630    xs16_31e8gzxo9a6                         16  6
16.2322    xs16_raak8zx1252                         16  6
16.147     xs16_32qjap3                             32  5
16.3227    xs16_31e8gzy012ego                       27  5
16.1753    xs16_695q4gozw23                         21  5
16.772     xs16_3h4e1daz011                         16  5
16.2547    xs16_j9cz122c826                         16  5
16.151     xs16_64kr2pm                             999 4
16.778     xs16_69la8oz321                          36  4
16.713     xs16_o8bap3z23                           24  4
16.3066    xs16_4a9jzx12ego                         23  4
16.926     xs16_3iajc4gozw1                         21  4
16.2058    xs16_69akg4czx146                        20  4
16.2805    xs16_0gs2c871z641                        16  4
16.2029    xs16_25ao4a4z2521                        16  4
16.890     xs16_696ki6zw641                         999 3
16.889     xs16_696ki6zx65                          999 3
16.1861    xs16_4ap64koz32                          999 3
16.1685    xs16_c48n98czx23                         999 3
16.842     xs16_cila8oz065                          34  3
16.354     xs16_35s26zbd                            29  3
16.828     xs16_4alhe8z0641                         28  3
16.358     xs16_321fgc2ko                           19  3
16.1911    xs16_69q3213z32                          18  3
16.1107    xs16_02egdbz2521                         18  3
16.1105    xs16_gie0dbz146                          18  3
16.1882    xs16_259m453zx23                         17  3
16.1867    xs16_069q453z311                         17  3
16.762     xs16_jhke1e8z1                           16  3
16.2305    xs16_6413ia4z6421                        16  3
16.2030    xs16_0i5q8a52z121                        16  3
16.1710    xs16_4a9bk46zx32                         16  3
16.1080    xs16_3lo0kcz3421                         16  3
16.2096    xs16_wck5b8oz311                         999 2
16.1094    xs16_cila8oz641                          40  2
16.349     xs16_35s26z39c                           35  2
16.220     xs16_3123qajo                            29  2
16.1901    xs16_08obap3z32                          25  2
16.300     xs16_9fg4czbd                            23  2
16.875     xs16_4a5pa4z2521                         17  2
16.380     xs16_4a40vh248c                          17  2
16.840     xs16_c8idiczw56                          16  2
16.771     xs16_69qb8oz32                           16  2
16.2862    xs16_08u16413z65                         16  2
16.2204    xs16_0gilla4z641                         16  2
16.1720    xs16_4a4o79ozx121                        16  2
16.1675    xs16_xj96z0mdz32                         16  2
16.2784    xs16_woe12koz6221                        999 1
16.1979    xs16_4ap30ga6zw121                       999 1
16.1970    xs16_ckw3lozw1243                        999 1
16.1682    xs16_8k9bkk8zw23                         999 1
16.712     xs16_3pc0qmzw23                          48  1
16.1721    xs16_64kb2acz032                         35  1
16.218     xs16_3pajc48c                            33  1
16.185     xs16_32qk5b8o                            30  1
16.930     xs16_3iaj21e8zw1                         25  1
16.825     xs16_4alhe8zw65                          25  1
16.1064    xs16_39m88cz6221                         24  1
16.2313    xs16_08u16853z32                         23  1
16.1073    xs16_3lkaa4z641                          20  1
16.745     xs16_39qb8oz32                           19  1
16.2162    xs16_0at16426z32                         19  1
16.2050    xs16_6ik8a52z065                         19  1
16.1912    xs16_at16426z32                          19  1
16.2480    xs16_3iaczw1139c                         18  1
16.2447    xs16_0g8it248cz23                        18  1
16.2025    xs16_069q48cz2521                        18  1
16.1711    xs16_c8idik8z023                         18  1
16.843     xs16_4a9liczx56                          17  1
16.3164    xs16_wo443146zbd                         17  1
16.3134    xs16_c9jzw122c826                        17  1
16.2861    xs16_ol3zw343146                         17  1
16.2694    xs16_4ai3gzx11mq                         17  1
16.1715    xs16_64p784czw23                         17  1
16.593     xs16_3123c48gka4                         16  1
16.2699    xs16_08o6413zrm                          16  1
16.2460    xs16_0o861aczc452                        16  1
16.2317    xs16_cik8a52z641                         16  1
16.1864    xs16_31ke1e8z032                         16  1
16.1085    xs16_3h4e12koz011                        16  1
16.104     xs16_0j5ozj4pz11                         16  1

User avatar
BlinkerSpawn
Posts: 1992
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

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

Post by BlinkerSpawn » March 15th, 2017, 4:12 pm

16.202 in 10:

Code: Select all

x = 162, y = 44, rule = B3/S23
obo$b2o$bo5$40bo$38bobo$39b2o3$95bo$95bobo$95b2o$78bobo$78b2o$79bo$
140b2o$139bo2bo$139b3obo$143bo$141b2o13b2o$141bo13bo2bo$139bobo14b2o$
139b2o4bo13b3o$144bobo12bo$144bo2bo12bo$145b2o$148b3o$148bo$140b2o7bo$
54bo85b2o$53bo$53b3o82b2o$57b3o77bobo$57bo81bo$58bo4$76b2o$76bobo$76bo
!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Bullet51
Posts: 663
Joined: July 21st, 2014, 4:35 am

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

Post by Bullet51 » March 15th, 2017, 9:43 pm

16.846 in 14G:

Code: Select all

x = 142, y = 63, rule = B3/S23
110bo$110bobo$110b2o5$59bo$57bobo$58b2o2$52bo$50bobo$51b2o10$77bo$76bo
$76b3o$138bo$74bo63b3o$5bo69bo65bo$3bobo67b3o60b6o$4b2o130bo$b2o136bo$
obo12bo122bobo$2bo11bo123b2o$14b3o$138bo$8b2o2b2o123b2o$9b2obobo122bob
o$8bo3bo121b2o$133bobo$68b3o64bo$70bo$69bo10b2o$80b2o4$85bo$84bobo$85b
o11$47b2o$46bobo$48bo!
I wonder if there is a simpler cleanup.
Still drifting.

User avatar
dvgrn
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Posts: 10611
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
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Re: 16 in 16: Efficient 16-bit Synthesis Project

Post by dvgrn » March 15th, 2017, 10:51 pm

Bullet51 wrote:16.846 in 14G... I wonder if there is a simpler cleanup.
A few minutes with Seeds of Destruction cuts it down to 13G, anyway:

Code: Select all

x = 142, y = 51, rule = B3/S23
43bo68bo$44bo65b2o$42b3o66b2o6$59bo$57bobo$58b2o14$77bo$76bo$76b3o$
138bo$74bo63b3o$5bo69bo65bo$3bobo67b3o60b6o$4b2o130bo$b2o136bo$obo12bo
122bobo$2bo11bo123b2o$14b3o$138bo$8b2o2b2o123b2o$9b2obobo122bobo$8bo3b
o121b2o$133bobo$68b3o64bo$70bo$69bo10b2o$80b2o4$85bo$84bobo$85bo!
A lucky one-glider cleanup doesn't seem terribly likely, but also doesn't seem impossible. I didn't run an exhaustive search, just tried the most likely places I saw.

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

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

Post by chris_c » March 16th, 2017, 8:12 am

BlinkerSpawn wrote:16.202 in 10
I improved the cleanup by 1G which means that the derived synthesis of 16.213 comes in at 15G:

Code: Select all

x = 133, y = 276, rule = B3/S23
55bo$54bo$54b3o15$53bo$51b2o$24bo27b2o$25bo$23b3o15$127bo$126bobo$31bo
94bobo$29bobo95bo$30b2o2$34bo$34bobo$34b2o3$123bo$122bobo$122bo2bo$
123b2o$129b2o$128bo2bo$118b2o6b3obobo$118b2o5bo4bobo$125b2o3b2o4$59b3o
$59bo$60bo36$67b2o$66b2o$68bo25$4bo$5bo$3b3o5$bo$2bo$3o3$27bo$26bobo$
26bobo$27bo8$23bo$22bobo$22bo2bo$23b2o$29b2o98b2o$28bo2bo96bo2bo$18b2o
6b3obobo93b3obobo$18b2o5bo4bobo92bo4bobo$25b2o3b2o93b2o3b2o80$9bo$10bo
$8b3o24bo$35bobo$35b2o12$29b2o94b2o2b2o$28bo2bo93bo2bo2bo$26b3obobo93b
obobobo$25bo4bobo94bo2bobo$25b2o3b2o98b2o13$9b3o5b2o$11bo4bobo18b2o$
10bo7bo17b2o$38bo2$14b2o$13bobo$15bo!
Bullet51 wrote:16.846 in 14G
dvgrn wrote: A few minutes with Seeds of Destruction cuts it down to 13G, anyway
And I saved another glider in the construction of the block and tub:

Code: Select all

x = 49, y = 29, rule = B3/S23
29bo$30b2o$29b2o8$5b2o$5bobo$b2o2bo$obo30b3o$2bo35b2o$37bo2bo$38bobo$
39bo3$37b2o$37b2o8bo$46bobo$47bo3$19b3o$21bo$20bo!

Bullet51
Posts: 663
Joined: July 21st, 2014, 4:35 am

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

Post by Bullet51 » March 17th, 2017, 5:55 am

Is it doable in 16?

Code: Select all

x = 56, y = 38, rule = B3/S23
5b2o$5b2o2$47b2o3b2o$47bo2bo2bo$bo46b4o$obo18b2o$b2o18bobo24b2o$21bo
26b2o$55bo$53b2o$obo42b2o3b2o2b2o$obo43b2o2bobo$3o42bo4bo13$47b2o3b2o$
47bo2bo2bo$48b4o2$48b2o$48b2o$42bo$43b2o$42b2o2b2o3b2o$10b3o32bobo2b2o
$10bo36bo4bo$11bo!
EDIT: Is this even possible?

Code: Select all

x = 14, y = 18, rule = LifeHistory
12.2A$12.2A3$8.A$8.A.2A$10.2A$11.A$5.2E.2C$3.E2.EC.C$3.2E$.2E6.A$2.E
5.2A$E7.4A$2E7.3A$.E$E$2E!
Some recipes for the 20-cell SL:

Code: Select all

x = 95, y = 22, rule = B3/S23
43b2o41b2o$43b2o40bobo$85bo$85b2o4bo$90b2o$5b2o33b3o47b2o$7bo31b4o51bo
$2b2o3bo26b2o2b2o3bo49b2o$bo5bo26b2obo3b2o51bo$o5bo30b2ob3o49b2o$6o32b
o$10b3o41b2o$9bo3bo34bo5b2o18b3o$8bo4bo32b2ob2o22bo2bo$2b3o3bo37b2ob2o
22b2o$2bobo3bo2bo34bo2b2o$3b2o3bo2bo36b2o$8bobo34b2obo28b2o$8b2o36b2o
28b3o$82bo$47b2o31bobo$47b2o30b3o!
Still drifting.

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Goldtiger997
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Re: 16 in 16: Efficient 16-bit Synthesis Project

Post by Goldtiger997 » March 17th, 2017, 8:27 am

16.765 in 8 gliders:

Code: Select all

x = 36, y = 24, rule = B3/S23
16bo$17b2o$16b2o$obo$b2o$bo2$6bo$5bo$2bo2b3o$3bo$b3o2$14b3o$16bo$15bo
7b2o$23bobo$23bo3$12b2o$11bobo19b3o$13bo19bo$34bo!
While looking for 1-glider versions of the outer two gliders in the previous step, I found this 8 glider synthesis for a related 19-bit still-life:

Code: Select all

x = 40, y = 34, rule = B3/S23
6bo$7b2o$6b2o6$39bo$37b2o$38b2o4$obo$b2o$bo2$6bo$5bo$2bo2b3o$3bo$b3o2$
14b3o$16bo$15bo7b2o$23bobo$23bo3$12b2o$11bobo$13bo!
Bullet51 wrote:EDIT: Is this even possible?

Code: Select all

x = 14, y = 18, rule = LifeHistory
12.2A$12.2A3$8.A$8.A.2A$10.2A$11.A$5.2E.2C$3.E2.EC.C$3.2E$.2E6.A$2.E
5.2A$E7.4A$2E7.3A$.E$E$2E!
Do you mean is it possible to make a converter out of it? I think it is definitely possible. I do not know if there already exists a converter that does that.

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

Post by BlinkerSpawn » March 17th, 2017, 8:38 am

Easier:

Code: Select all

x = 12, y = 13, rule = B3/S23
9b2o$10bo2$5b2ob2o$3bo2b2obo$3b2o$b2o6b2o$2bo5b2obo$o$2o$bo$o$2o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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

Post by BobShemyakin » March 17th, 2017, 12:37 pm

BlinkerSpawn wrote:Easier:

Code: Select all

x = 12, y = 13, rule = B3/S23
9b2o$10bo2$5b2ob2o$3bo2b2obo$3b2o$b2o6b2o$2bo5b2obo$o$2o$bo$o$2o!
16.2699 in 14G:

Code: Select all

x = 118, y = 36, rule = B3/S23
41bo$40bo$37bo2b3o$35bobo$36b2o23b2o18b2o28b2o$5bobo15b2o18b2o16bo2bo
16bo2bo26bo2bo$5b2o16bo19bo19b2o18b2o10bobo15b2o$2bo3bo19bo19bo18b2o
18b2o8b2o18b2o$obo22b2o18b2o18bo19bo10bo18bo$b2o46bo17bo19bo29bo$49bob
o14b2o18b2o28b2o$b2o46b2o65bo$obo114bo$2bo113b2o$47b3o$47bo$48bo41b2o
2b3o$91b2obo$90bo4bo2$77bo$77b2o6b2o$76bobo5b2o$86bo5$94b2o$93b2o$95bo
3$106b2o$105b2o$107bo!
16.819 in 12G:

Code: Select all

x = 79, y = 20, rule = B3/S23
8bo34bobo$2bo6b2o33b2o$obo5b2o34bo$b2o$11bo10b2ob2obo13b2o8b2ob2obo13b
2ob2obo$7bo3bobo9bobob2o12bobo9bobob2o14bobob2o$b3o2b2o3b2o9bo20bo8bo
19bo$3bo2bobo14b2o28b2o17b3o$2bo21bo20bo8bo20bo$23bo21b2o6bo20b2o$23b
2o19bobo6b2o$b3o$3bo$2bo$5b3o$5bo41b3o$6bo42bo$2b3o43bo$4bo$3bo!
Bob Shemyakin

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

Post by BlinkerSpawn » March 17th, 2017, 5:09 pm

BlinkerSpawn wrote:Easier:

Code: Select all

x = 12, y = 13, rule = B3/S23
9b2o$10bo2$5b2ob2o$3bo2b2obo$3b2o$b2o6b2o$2bo5b2obo$o$2o$bo$o$2o!
Here we are:

Code: Select all

x = 19, y = 15, rule = B3/S23
12bo$12bobo$12b2o$5b2ob2o$3bo2b2obo$3b2o11bo$b2o13bobo$2bo7bo5b2o$o8b
2o$2o7bobo$bo4bo$o4b3o$2o2b2obo$4b3o$5b2o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Extrementhusiast
Posts: 1966
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Location: USA

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

Post by Extrementhusiast » March 17th, 2017, 5:40 pm

BlinkerSpawn wrote:
BlinkerSpawn wrote:Easier:

Code: Select all

RLE
Here we are:

Code: Select all

RLE
Even better:

Code: Select all

x = 13, y = 15, rule = B3/S23
11bo$10bo$10b3o3$5b2ob2o$3bo2b2obo$3b2o$b2o7b3o$2bo7bo$o10bo$2o$bo$o$
2o!
I Like My Heisenburps! (and others)

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Goldtiger997
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Re: 16 in 16: Efficient 16-bit Synthesis Project

Post by Goldtiger997 » March 17th, 2017, 8:57 pm

16.152 in 9 gliders:

Code: Select all

x = 33, y = 52, rule = B3/S23
o$b2o$2o27$14b2o$15b2obobo$14bo3b2o$19bo3$14b2o$13bobo$15bo$30bo$30bob
o$30b2o4$7b3o17bo$9bo16bo$8bo17b3o$10b3o$10bo$11bo13b2o$24b2o$26bo!
EDIT:

Predecessor for 16.813 that I was unable to make into a synthesis, because I could not find a suitable TL inserter:

Code: Select all

x = 39, y = 18, rule = B3/S23
35bo$36bo$o33b3o$b2o3b2o$2o4b2o23b2o$31b2o3$4bo29bo$2b2ob2o25b2ob2o$4b
o29bo2$5b3o27b3o$5bo2bo26bo2bo$5bo2bo26bo2bo$8bo29bo$6b2o28b2o$5bo29bo
!
Here are two 3-glider syntheses for the part at the bottom:

Code: Select all

x = 33, y = 15, rule = B3/S23
bobo22bobo$b2o24b2o$2bo24bo6$bo29bo$o29bo$3o27b3o2$bo29bo$2o28b2o$obo
27bobo!
EDIT 2:

16.691 in 8 gliders:

Code: Select all

x = 27, y = 22, rule = B3/S23
14bo$12bobo$o12b2o$b2o21bo$2o20b2o$23b2o6$26bo$8bo15b2o$9bo2bo12b2o$7b
3o2b2o$11bobo$16b2o$16bobo$16bo$21b2o$20b2o$22bo!

chris_c
Posts: 966
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Re: 16 in 16: Efficient 16-bit Synthesis Project

Post by chris_c » March 18th, 2017, 1:21 pm

Goldtiger997 wrote: Predecessor for 16.813 that I was unable to make into a synthesis, because I could not find a suitable TL inserter:
Here is 16.813 in 8G:

Code: Select all

x = 30, y = 32, rule = B3/S23
3bobo$4b2o$4bo$28bo$27bo$o26b3o$b2o$2o2$25bobo$25b2o$5bo20bo$6bo$4b3o
4$20bobo$20b2o$21bo6$20bo$19bo$19b3o2$20bo$19b2o$19bobo!
I also added your other syntheses along with Bob's and the converters featured in Bob's post.

I added a 6G synthesis of 16.1935:

Code: Select all

x = 81, y = 27, rule = B3/S23
15bo$14bo$14b3o5$9bo$9bobo55bo10bobo$2bo6b2o55bobo5b2obob2o$obo63bobo
5bob2o$b2o64bo11b2o$80bo$78bo$78b2o$61b3o$63bo$62bo5$6bo$5b2o$5bobo2b
2o$10bobo$10bo!
I analysed all of Mark Niemiec's syntheses in the zip file on the 16 bit SL page. Now there are just 12 SLs in my lists without synthesis. I don't think any of them have explicit synthesis on Mark's website except for 16.126 which I was too lazy to include because it uses quite a number of *WSS.

Now 249 16-bit SLs have synthesis in greater than 15 gliders in my list. I think about 50 of them have no appearance on Catagolue. Here is the updated list sorted by Catagolue frequency:

Code: Select all

16.657     xs16_695q4ozw321                         16  4403
16.131     xs16_660uhar                             19  3702
16.1856    xs16_39u06a4z32                          16  2408
16.1739    xs16_g88r2qkz121                         20  2219
16.1880    xs16_259q453z032                         25  1975
16.665     xs16_699mkiczx1                          18  1857
16.829     xs16_0md1e8z1226                         23  1475
16.748     xs16_39ege2z321                          17  1372
16.799     xs16_c8al56z311                          17  1176
16.642     xs16_6s1raa4zw1                          51  1101
16.228     xs16_178bp2sg                            20  1047
16.159     xs16_2egmd1e8                            21  960
16.686     xs16_mkkb2acz1                           38  903
16.2309    xs16_8kk31e8z641                         21  779
16.19      xs16_caarz39c                            18  505
16.810     xs16_ca9la4z311                          16  471
16.1992    xs16_25is0cczw65                         16  470
16.1881    xs16_259q453zw32                         19  433
16.834     xs16_8u15a4z1226                         25  422
16.774     xs16_69raa4z32                           21  419
16.360     xs16_2egu16413                           16  360
16.848     xs16_ca9b8oz0252                         18  359
16.2014    xs16_25a8kk8z0253                        17  340
16.827     xs16_ciaj2ak8zw1                         23  329
16.1717    xs16_4aajk46zx121                        16  328
16.995     xs16_0raik8z643                          16  320
16.1722    xs16_4aq32acz032                         17  307
16.1940    xs16_c48q552z321                         29  281
16.716     xs16_3pmk46zx23                          17  272
16.265     xs16_259m861ac                           17  270
16.1757    xs16_g8idik8z123                         18  267
16.2060    xs16_69akg4czx56                         16  260
16.1773    xs16_ciarzx3213                          999 259
16.1703    xs16_4a9la8ozx121                        26  250
16.647     xs16_8k4r2pmzw1                          999 241
16.153     xs16_4a9r8jd                             999 227
16.18      xs16_caarzbd                             19  208
16.1684    xs16_4aab9k8zx32                         19  163
16.2174    xs16_08u164koz32                         27  160
16.353     xs16_321fgc453                           23  155
16.1740    xs16_69acga6zx32                         23  155
16.668     xs16_gbq1daz121                          17  152
16.1990    xs16_8e1tazx1252                         18  143
16.144     xs16_4aar2pm                             999 141
16.1857    xs16_39u0652z32                          16  141
16.243     xs16_2egu16426                           16  138
16.2018    xs16_25a8c826zw33                        18  125
16.619     xs16_j9ajkcz11                           999 120
16.126     xs16_69ir9ic                             999 117
16.822     xs16_8ehikozw56                          16  112
16.2445    xs16_ciligzx254c                         16  105
16.1787    xs16_069m4koz311                         16  104
16.953     xs16_0cil56z6221                         16  98
16.1991    xs16_8e1qbzx1252                         17  97
16.1929    xs16_0g5r8b5z121                         16  94
16.15      xs16_178c1f84c                           17  83
16.2295    xs16_0g8go8brz23                         24  74
16.155     xs16_3pabp46                             18  72
16.634     xs16_ca9diczw32                          999 71
16.1694    xs16_4a5p6o8zx121                        19  65
16.2347    xs16_g8861acz0db                         28  64
16.628     xs16_kc32qkz0113                         28  62
16.1847    xs16_39c8a52z033                         17  62
16.1954    xs16_8kk31e8z065                         21  61
16.731     xs16_3iajkcz23                           28  57
16.836     xs16_4aajkczx56                          16  57
16.833     xs16_0mp2sgz1243                         20  56
16.616     xs16_i5pajoz11                           17  53
16.640     xs16_c9bkkozw32                          17  49
16.801     xs16_08eharz321                          19  43
16.1904    xs16_8u164koz32                          32  41
16.795     xs16_c87p46z311                          53  39
16.230     xs16_178jd2ko                            19  39
16.2132    xs16_0g8it2sgz23                         17  38
16.313     xs16_3pm44og4c                           35  36
16.1754    xs16_695m88czx23                         999 35
16.1691    xs16_4a9l6o8zx121                        26  35
16.1106    xs16_0iu0dbz641                          25  35
16.2201    xs16_0ggml96z641                         18  32
16.1304    xs16_0okih3zc8421                        16  32
16.312     xs16_62s53zbd                            29  31
16.1391    xs16_ca168ozc8421                        16  31
16.929     xs16_3iaj2ak8zw1                         31  28
16.2541    xs16_g8861aczc93                         28  28
16.1994    xs16_0g9fgka4z121                        16  28
16.1846    xs16_25a8c93zw33                         23  27
16.623     xs16_o5r8jdz01                           25  23
16.227     xs16_5b8r5426                            17  23
16.856     xs16_kc32acz1252                         16  23
16.914     xs16_8kkja952zx1                         18  22
16.1791    xs16_03lkaa4z3201                        20  19
16.1702    xs16_4a5p68ozx121                        23  18
16.1464    xs16_08o696z6ip                          16  18
16.706     xs16_39s0qmz023                          24  17
16.1766    xs16_kc321e8z123                         16  17
16.621     xs16_g5r8jdz11                           23  14
16.723     xs16_i5p64koz11                          20  14
16.350     xs16_312461tic                           16  14
16.2219    xs16_0oe12koz643                         16  14
16.1723    xs16_4ap64koz032                         999 13
16.1034    xs16_3lkaa4z065                          24  13
16.1962    xs16_4a9eg8ozw65                         20  13
16.1790    xs16_178cia4z0321                        18  12
16.803     xs16_c9bk46z311                          17  12
16.278     xs16_32qj43146                           29  11
16.1323    xs16_031e8gzc9311                        29  11
16.786     xs16_3pa3ia4zw11                         28  11
16.724     xs16_j5o64koz11                          16  11
16.1758    xs16_4a4o796zw121                        17  10
16.996     xs16_2lm853z056                          16  9
16.2546    xs16_j9cz122c84c                         16  9
16.2542    xs16_g88c871zc93                         16  9
16.682     xs16_69j0j9czx11                         33  8
16.3163    xs16_wo443123zbd                         17  8
16.838     xs16_ci9b8ozw56                          16  8
16.2302    xs16_4ap6413z65                          16  8
16.872     xs16_2lla8oz065                          20  7
16.1995    xs16_cik8a52z065                         18  7
16.1127    xs16_giligoz104a4                        20  6
16.2630    xs16_31e8gzxo9a6                         16  6
16.2322    xs16_raak8zx1252                         16  6
16.147     xs16_32qjap3                             32  5
16.3227    xs16_31e8gzy012ego                       27  5
16.1753    xs16_695q4gozw23                         21  5
16.772     xs16_3h4e1daz011                         16  5
16.2547    xs16_j9cz122c826                         16  5
16.778     xs16_69la8oz321                          36  4
16.151     xs16_64kr2pm                             28  4
16.713     xs16_o8bap3z23                           24  4
16.3066    xs16_4a9jzx12ego                         23  4
16.2058    xs16_69akg4czx146                        20  4
16.926     xs16_3iajc4gozw1                         18  4
16.2805    xs16_0gs2c871z641                        16  4
16.2029    xs16_25ao4a4z2521                        16  4
16.1861    xs16_4ap64koz32                          999 3
16.890     xs16_696ki6zw641                         35  3
16.842     xs16_cila8oz065                          34  3
16.889     xs16_696ki6zx65                          29  3
16.354     xs16_35s26zbd                            29  3
16.828     xs16_4alhe8z0641                         25  3
16.358     xs16_321fgc2ko                           19  3
16.1911    xs16_69q3213z32                          18  3
16.1107    xs16_02egdbz2521                         18  3
16.1105    xs16_gie0dbz146                          18  3
16.1882    xs16_259m453zx23                         17  3
16.1867    xs16_069q453z311                         17  3
16.1685    xs16_c48n98czx23                         17  3
16.762     xs16_jhke1e8z1                           16  3
16.2305    xs16_6413ia4z6421                        16  3
16.2030    xs16_0i5q8a52z121                        16  3
16.1710    xs16_4a9bk46zx32                         16  3
16.1080    xs16_3lo0kcz3421                         16  3
16.1094    xs16_cila8oz641                          40  2
16.349     xs16_35s26z39c                           35  2
16.220     xs16_3123qajo                            29  2
16.1901    xs16_08obap3z32                          25  2
16.300     xs16_9fg4czbd                            23  2
16.2096    xs16_wck5b8oz311                         21  2
16.875     xs16_4a5pa4z2521                         17  2
16.380     xs16_4a40vh248c                          17  2
16.840     xs16_c8idiczw56                          16  2
16.771     xs16_69qb8oz32                           16  2
16.2862    xs16_08u16413z65                         16  2
16.2204    xs16_0gilla4z641                         16  2
16.1720    xs16_4a4o79ozx121                        16  2
16.1675    xs16_xj96z0mdz32                         16  2
16.2784    xs16_woe12koz6221                        999 1
16.1970    xs16_ckw3lozw1243                        999 1
16.712     xs16_3pc0qmzw23                          48  1
16.1721    xs16_64kb2acz032                         34  1
16.218     xs16_3pajc48c                            33  1
16.185     xs16_32qk5b8o                            30  1
16.1979    xs16_4ap30ga6zw121                       27  1
16.930     xs16_3iaj21e8zw1                         25  1
16.1064    xs16_39m88cz6221                         24  1
16.2313    xs16_08u16853z32                         23  1
16.825     xs16_4alhe8zw65                          22  1
16.1682    xs16_8k9bkk8zw23                         21  1
16.1073    xs16_3lkaa4z641                          20  1
16.745     xs16_39qb8oz32                           19  1
16.2162    xs16_0at16426z32                         19  1
16.2050    xs16_6ik8a52z065                         19  1
16.1912    xs16_at16426z32                          19  1
16.2480    xs16_3iaczw1139c                         18  1
16.2447    xs16_0g8it248cz23                        18  1
16.2025    xs16_069q48cz2521                        18  1
16.1711    xs16_c8idik8z023                         18  1
16.843     xs16_4a9liczx56                          17  1
16.3164    xs16_wo443146zbd                         17  1
16.2861    xs16_ol3zw343146                         17  1
16.2694    xs16_4ai3gzx11mq                         17  1
16.1715    xs16_64p784czw23                         17  1
16.593     xs16_3123c48gka4                         16  1
16.2460    xs16_0o861aczc452                        16  1
16.2317    xs16_cik8a52z641                         16  1
16.1864    xs16_31ke1e8z032                         16  1
16.1085    xs16_3h4e12koz011                        16  1
16.104     xs16_0j5ozj4pz11                         16  1

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

Post by Sokwe » March 18th, 2017, 10:54 pm

chris_c wrote:16.823 in 12G
Reduced to 9G:

Code: Select all

x = 102, y = 18, rule = B3/S23
62bo19bo$2bo58bo20bobo$obo58b3o18b2o$b2o$60bo$61bo$59b3o35b2o$13bo21b
3o27b3o27b3obo$11b2o81bo5bo$9bo2b2o81bo5bo$7bobo28b3o27b3o25bob3o$8b2o
64b3o20b2o$74bo$75bo2$52b2o18b3o$51bobo20bo$53bo19bo!
Edit: 16.1940 was one of the last to be solved in the original 16-bit synthesis project. Here's 16.1940 in 10G:

Code: Select all

x = 23, y = 31, rule = B3/S23
15bobo$6b2o7b2o$5bobo8bo$7bo$13b3o$13bo$14bo6$18bobo$14b2o2b2o$13bobo
3bo$15bo3$21bo$13b2o5b2o$6b3o4bobo4bobo$8bo4bo$7bo6$3o$2bo$bo!
Edit 2: 16.2784 in 10G:

Code: Select all

x = 107, y = 18, rule = B3/S23
36bo$37bo$35b3o$40bo$38b2o$2bobo34b2o18b2o18b2o18b2o$3b2o4bo50bo19bo
19bo$3bo5bobo10bo10b3o6bo17bobo17bobo8bo8bob2o$9b2o10bobo11bo5bobo17bo
bo17bobo7bobo7bob3o$bo20b2o10bo7b2o18b2o18b2o7b2o13bo$o87b2o15bo$3o17b
4o16b4o16b4o16b4o3b2o13bobo$20bo2bo16bo2bo16bo2bo16bo2bo5bo12b2o2$b3o$
bo80b2o$2bo78bobo$83bo!
Edit 3: 16.1861 in 12G (very messy):

Code: Select all

x = 105, y = 59, rule = B3/S23
31bobo55b2o$31b2o56bobo$32bo10bo47bo$41b2o48b2o$42b2o45b2o2bo$87bo2bob
o$87b2o2bo10$2o$2o$96bo$28bo67bo$27b2o67bo$27bobo$6bo$6b2o86b2o$5bobo
86b2o6bo$101bobo$11bobo87bobo$11b2o5b3o81bo$12bo5bo$10bo8bo83b2o$9b2o
91bobo$9bobo92bo10$68b3o$68bo$69bo13$29b3o$29bo$30bo!
-Matthias Merzenich

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Goldtiger997
Posts: 762
Joined: June 21st, 2016, 8:00 am

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

Post by Goldtiger997 » March 19th, 2017, 8:01 am

16.1773 in 9 gliders:

Code: Select all

x = 52, y = 30, rule = B3/S23
46bo$46bobo$46b2o2$35bo$33b2o13bo$34b2o12bobo$30b3o11bo3b2o$32bo9b2o$
31bo11b2o2$49b3o$37b2o3bo6bo$36bobob2o8bo$38bo2b2o13$b2o$obo$2bo!

AbhpzTa
Posts: 592
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

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

Post by AbhpzTa » March 19th, 2017, 6:00 pm

16.144 in 7 gliders:

Code: Select all

x = 72, y = 82, rule = B3/S23
bo$2bo$3o28$12bobo$13b2o$13bo$56bo$56bobo$56b2o10$56bo$57bo$55b3o3$54b
3o$56bo$55bo26$69b3o$9b2o58bo$8bobo59bo$10bo!
100009436650194649 = 94649 * 1056634900001

Sokwe
Moderator
Posts: 2645
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Re: 16 in 16: Efficient 16-bit Synthesis Project

Post by Sokwe » March 20th, 2017, 12:13 am

I wrote:16.1861 in 12G
I reduced 16.1861 to 11G by playing around with Seeds of Destruction for a while:

Code: Select all

x = 97, y = 44, rule = B3/S23
57bobo$57b2o$58bo10bo$67b2o$68b2o7$bo$2bo$3o3$26b2o$26b2o2$54bo$53b2o$
53bobo$32bo$32b2o$31bobo2$37bobo$37b2o5b3o$38bo5bo$36bo8bo$35b2o$35bob
o10$94b3o$94bo$95bo!
Edit: 16.1723 in 10G:

Code: Select all

x = 161, y = 64, rule = B3/S23
46bo$46bobo$46b2o4$bo40bo$2bo39bobo$3o39b2o23$24bobo$24b2o52bo39bo39bo
$25bo51bobo37bobo37bobo$75b3o2bo34b3o2bo34b3o2bo$24b3o47bo3b2o34bo3b2o
34bo3b2o$24bo20b3o25bobo2bo34bobo2bo35b2o2bo$25bo19bo27bobo3bo33bobo3b
o39bo$46bo27bo3b2o34bo3b2o38b2o$111b2o$110bobo$112bo16$55bo$54b2o$54bo
bo$60bo$18bo40b2o$18b2o39bobo$17bobo!
-Matthias Merzenich

User avatar
Goldtiger997
Posts: 762
Joined: June 21st, 2016, 8:00 am

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

Post by Goldtiger997 » March 21st, 2017, 7:37 am

chris_c wrote:...except for 16.126 which I was too lazy to include because it uses quite a number of *WSS.
16.126 in 9 gliders:

Code: Select all

x = 47, y = 50, rule = B3/S23
9bo$10bo$8b3o16$24bobo$25b2o$25bo2$38bobo$11bobo24b2o$12b2o25bo$12bo5$
21bo$21b2o$20bobo8bobo$27b2o2b2o11b2o$27bobo2bo11bobo$27bo16bo12$3o$2b
o$bo!
My ATFBPEWIAHGOD (Always Try to Find a Better Predecessor Even When I Already Have a Good One Disorder, very rare) made finding this synthesis take much longer than usual.

EDIT:

16.153 in 9 gliders:

Code: Select all

x = 66, y = 63, rule = B3/S23
50bo$50bobo$50b2o19$20bo$20bobo$20b2o3$4bo$4bobo$4b2o2$4b2o$4bobo$2o2b
o8bo$b2o10bobo$o12b2o2$10b3o$10bo$11bo$23b2o$23bobo$23bo19$64b2o$63b2o
$65bo!
EDIT2:

16.619 in 8 gliders, found from a C4_4 soup:

Code: Select all

x = 71, y = 61, rule = B3/S23
2bo$obo$b2o4$55bo$54bo$54b3o23$17bo$18bo$16b3o$20b3o$13b3o6bo$15bo5bo$
14bo$37bo$28b3o5b2o$30bo5bobo$29bo17$68b2o$68bobo$68bo!

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

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

Post by chris_c » March 22nd, 2017, 8:30 am

I pushed an update with the recent syntheses. Also I added Bob's 3G tail adder as a component and worked out how to make 16.1970 from a 15-bit still life. The 3G carrier to long long snake was worked out by me, mimicking a 2G version that does not work in this scenario. I guess that something equivalent or possibly identical was already known. (EDIT: prepended a 8G synthesis of the 15-bitter)

Code: Select all

x = 166, y = 41, rule = B3/S23
16bo$14b2o13bobo$15b2o12b2o34bo$30bo33bo44bo$64b3o40b2o$108b2o$10bobo
131bo$10b2o27b2o18b2o84bo$5bobo3bo27b2o18b2o37bo6bo37b3o$6b2o91bo4bo
34bo$6bo90b3o4b3o30bobo6bobo$138b2o6b2o$147bo2$122b2o18b2o$122bo19bo
20b2o$43b2o18b2o18b2o18b2o18bo19bo19bo$39b2o2bo15b2o2bo15b2o2bo15b2o2b
o15b2o3bo14b2o3bo14b2o3bo$39bo5bo13bo5bo13bo5bo13bo5bo13bo5bo13bo5bo
13bo5bo$40bo3b2o14bo3b2o14bo3b2o14bo3b2o14bo3b2o14bo3b2o14bo3b2o$41bo
2bo16bo2bo16bo2bo16bo2bo16bo2bo16bo2bo16bo2bo$42bobo17bobo17bobo17bobo
17bobo17bobo17bobo$43bo19bo19bo19bo19bo19bo19bo5$27bo$26b2o$26bobo5$2o
$b2o$o2$26b2o$25b2o$27bo!
Now there are just 4 still lifes that remain unsynthesised on my list and all of them have at least 35 soups on Catagolue (EDIT: Now just 3 since I missed Goldtiger's 16.619 in the second edit above)

Code: Select all

x = 7, y = 47, rule = Life
b2o$o2bo$ob2o2bo$bo2b3o$3bo$4bo$3b2o14$3bobo$3b2obo$b2o3bo$o2bobo$bobo
b2o$2bo15$2b2o$bo2bo$o2bobo$4obo$4bo$2bo$2b2o!

Code: Select all

16.657     xs16_695q4ozw321                         16  4403
16.131     xs16_660uhar                             19  3702
16.1856    xs16_39u06a4z32                          16  2408
16.1739    xs16_g88r2qkz121                         20  2219
16.1880    xs16_259q453z032                         25  1975
16.665     xs16_699mkiczx1                          18  1857
16.829     xs16_0md1e8z1226                         23  1475
16.748     xs16_39ege2z321                          17  1372
16.799     xs16_c8al56z311                          17  1176
16.642     xs16_6s1raa4zw1                          51  1101
16.228     xs16_178bp2sg                            20  1047
16.159     xs16_2egmd1e8                            21  960
16.686     xs16_mkkb2acz1                           38  903
16.2309    xs16_8kk31e8z641                         21  779
16.19      xs16_caarz39c                            18  505
16.810     xs16_ca9la4z311                          16  471
16.1992    xs16_25is0cczw65                         16  470
16.1881    xs16_259q453zw32                         19  433
16.834     xs16_8u15a4z1226                         25  422
16.774     xs16_69raa4z32                           21  419
16.360     xs16_2egu16413                           16  360
16.848     xs16_ca9b8oz0252                         18  359
16.2014    xs16_25a8kk8z0253                        17  340
16.827     xs16_ciaj2ak8zw1                         23  329
16.1717    xs16_4aajk46zx121                        16  328
16.995     xs16_0raik8z643                          16  320
16.1722    xs16_4aq32acz032                         17  307
16.716     xs16_3pmk46zx23                          17  272
16.265     xs16_259m861ac                           17  270
16.1757    xs16_g8idik8z123                         18  267
16.2060    xs16_69akg4czx56                         16  260
16.1703    xs16_4a9la8ozx121                        26  250
16.647     xs16_8k4r2pmzw1                          999 241
16.18      xs16_caarzbd                             19  208
16.1684    xs16_4aab9k8zx32                         19  163
16.2174    xs16_08u164koz32                         27  160
16.353     xs16_321fgc453                           23  155
16.1740    xs16_69acga6zx32                         23  155
16.668     xs16_gbq1daz121                          17  152
16.1990    xs16_8e1tazx1252                         18  143
16.1857    xs16_39u0652z32                          16  141
16.243     xs16_2egu16426                           16  138
16.2018    xs16_25a8c826zw33                        18  125
16.822     xs16_8ehikozw56                          16  112
16.2445    xs16_ciligzx254c                         16  105
16.1787    xs16_069m4koz311                         16  104
16.953     xs16_0cil56z6221                         16  98
16.1991    xs16_8e1qbzx1252                         17  97
16.1929    xs16_0g5r8b5z121                         16  94
16.15      xs16_178c1f84c                           17  83
16.2295    xs16_0g8go8brz23                         24  74
16.155     xs16_3pabp46                             18  72
16.634     xs16_ca9diczw32                          999 71
16.1694    xs16_4a5p6o8zx121                        19  65
16.2347    xs16_g8861acz0db                         28  64
16.628     xs16_kc32qkz0113                         28  62
16.1847    xs16_39c8a52z033                         17  62
16.1954    xs16_8kk31e8z065                         21  61
16.731     xs16_3iajkcz23                           28  57
16.836     xs16_4aajkczx56                          16  57
16.833     xs16_0mp2sgz1243                         20  56
16.616     xs16_i5pajoz11                           17  53
16.640     xs16_c9bkkozw32                          17  49
16.801     xs16_08eharz321                          19  43
16.1904    xs16_8u164koz32                          32  41
16.795     xs16_c87p46z311                          53  39
16.230     xs16_178jd2ko                            19  39
16.2132    xs16_0g8it2sgz23                         17  38
16.313     xs16_3pm44og4c                           35  36
16.1754    xs16_695m88czx23                         999 35
16.1691    xs16_4a9l6o8zx121                        26  35
16.1106    xs16_0iu0dbz641                          25  35
16.2201    xs16_0ggml96z641                         18  32
16.1304    xs16_0okih3zc8421                        16  32
16.312     xs16_62s53zbd                            29  31
16.1391    xs16_ca168ozc8421                        16  31
16.929     xs16_3iaj2ak8zw1                         31  28
16.2541    xs16_g8861aczc93                         28  28
16.1994    xs16_0g9fgka4z121                        16  28
16.1846    xs16_25a8c93zw33                         23  27
16.623     xs16_o5r8jdz01                           25  23
16.227     xs16_5b8r5426                            17  23
16.856     xs16_kc32acz1252                         16  23
16.914     xs16_8kkja952zx1                         18  22
16.1791    xs16_03lkaa4z3201                        20  19
16.1702    xs16_4a5p68ozx121                        23  18
16.1464    xs16_08o696z6ip                          16  18
16.706     xs16_39s0qmz023                          24  17
16.1766    xs16_kc321e8z123                         16  17
16.621     xs16_g5r8jdz11                           23  14
16.723     xs16_i5p64koz11                          20  14
16.350     xs16_312461tic                           16  14
16.2219    xs16_0oe12koz643                         16  14
16.1034    xs16_3lkaa4z065                          24  13
16.1962    xs16_4a9eg8ozw65                         20  13
16.1790    xs16_178cia4z0321                        18  12
16.803     xs16_c9bk46z311                          17  12
16.278     xs16_32qj43146                           29  11
16.1323    xs16_031e8gzc9311                        29  11
16.786     xs16_3pa3ia4zw11                         28  11
16.724     xs16_j5o64koz11                          16  11
16.1758    xs16_4a4o796zw121                        17  10
16.996     xs16_2lm853z056                          16  9
16.2546    xs16_j9cz122c84c                         16  9
16.2542    xs16_g88c871zc93                         16  9
16.682     xs16_69j0j9czx11                         33  8
16.3163    xs16_wo443123zbd                         17  8
16.838     xs16_ci9b8ozw56                          16  8
16.2302    xs16_4ap6413z65                          16  8
16.872     xs16_2lla8oz065                          20  7
16.1995    xs16_cik8a52z065                         18  7
16.1127    xs16_giligoz104a4                        20  6
16.2630    xs16_31e8gzxo9a6                         16  6
16.2322    xs16_raak8zx1252                         16  6
16.147     xs16_32qjap3                             32  5
16.3227    xs16_31e8gzy012ego                       27  5
16.1753    xs16_695q4gozw23                         21  5
16.772     xs16_3h4e1daz011                         16  5
16.2547    xs16_j9cz122c826                         16  5
16.778     xs16_69la8oz321                          36  4
16.151     xs16_64kr2pm                             28  4
16.713     xs16_o8bap3z23                           24  4
16.3066    xs16_4a9jzx12ego                         23  4
16.2058    xs16_69akg4czx146                        20  4
16.926     xs16_3iajc4gozw1                         18  4
16.2805    xs16_0gs2c871z641                        16  4
16.2029    xs16_25ao4a4z2521                        16  4
16.890     xs16_696ki6zw641                         35  3
16.842     xs16_cila8oz065                          34  3
16.889     xs16_696ki6zx65                          29  3
16.354     xs16_35s26zbd                            29  3
16.828     xs16_4alhe8z0641                         25  3
16.358     xs16_321fgc2ko                           19  3
16.1911    xs16_69q3213z32                          18  3
16.1107    xs16_02egdbz2521                         18  3
16.1105    xs16_gie0dbz146                          18  3
16.1882    xs16_259m453zx23                         17  3
16.1867    xs16_069q453z311                         17  3
16.1685    xs16_c48n98czx23                         17  3
16.762     xs16_jhke1e8z1                           16  3
16.2305    xs16_6413ia4z6421                        16  3
16.2030    xs16_0i5q8a52z121                        16  3
16.1710    xs16_4a9bk46zx32                         16  3
16.1080    xs16_3lo0kcz3421                         16  3
16.1094    xs16_cila8oz641                          40  2
16.349     xs16_35s26z39c                           35  2
16.220     xs16_3123qajo                            29  2
16.1901    xs16_08obap3z32                          25  2
16.300     xs16_9fg4czbd                            23  2
16.2096    xs16_wck5b8oz311                         21  2
16.875     xs16_4a5pa4z2521                         17  2
16.380     xs16_4a40vh248c                          17  2
16.840     xs16_c8idiczw56                          16  2
16.771     xs16_69qb8oz32                           16  2
16.2204    xs16_0gilla4z641                         16  2
16.1720    xs16_4a4o79ozx121                        16  2
16.1675    xs16_xj96z0mdz32                         16  2
16.712     xs16_3pc0qmzw23                          48  1
16.1721    xs16_64kb2acz032                         34  1
16.218     xs16_3pajc48c                            33  1
16.185     xs16_32qk5b8o                            30  1
16.1979    xs16_4ap30ga6zw121                       27  1
16.930     xs16_3iaj21e8zw1                         25  1
16.1064    xs16_39m88cz6221                         24  1
16.2313    xs16_08u16853z32                         23  1
16.825     xs16_4alhe8zw65                          22  1
16.1682    xs16_8k9bkk8zw23                         21  1
16.1970    xs16_ckw3lozw1243                        20  1
16.1073    xs16_3lkaa4z641                          20  1
16.745     xs16_39qb8oz32                           19  1
16.2162    xs16_0at16426z32                         19  1
16.2050    xs16_6ik8a52z065                         19  1
16.1912    xs16_at16426z32                          19  1
16.2480    xs16_3iaczw1139c                         18  1
16.2447    xs16_0g8it248cz23                        18  1
16.2025    xs16_069q48cz2521                        18  1
16.1711    xs16_c8idik8z023                         18  1
16.843     xs16_4a9liczx56                          17  1
16.3164    xs16_wo443146zbd                         17  1
16.2861    xs16_ol3zw343146                         17  1
16.2694    xs16_4ai3gzx11mq                         17  1
16.1715    xs16_64p784czw23                         17  1
16.593     xs16_3123c48gka4                         16  1
16.2460    xs16_0o861aczc452                        16  1
16.2317    xs16_cik8a52z641                         16  1
16.1864    xs16_31ke1e8z032                         16  1
16.1085    xs16_3h4e12koz011                        16  1
16.104     xs16_0j5ozj4pz11                         16  1

AbhpzTa
Posts: 592
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

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

Post by AbhpzTa » March 22nd, 2017, 3:14 pm

16.1754 in 7 gliders:

Code: Select all

x = 67, y = 20, rule = B3/S23
49bobo$44bo4b2o$42bobo5bo$39bo3b2o$37bobo$38b2o$61b2o$60bo2bo$2bobo21b
o19bo13bob2o2bo$3b2o19b3o17b3o14bo2b3o$3bo19bo19bo19bo$23b2o18b2o19bo$
3o60b2o$2bo$bo38b2o$39bobo$41bo$43b2o$43bobo$43bo!
16.647 in 8 gliders:

Code: Select all

x = 93, y = 62, rule = B3/S23
21bo$22b2o$21b2o11$56bo$57bo$55b3o3$56b3o$58bo$57bo5$64bo$63b2o$63bobo
17$91bo$90b2o$90bobo2$76bo$75b2o$75bobo4$bo$b2o$obo3$13b3o$15bo$14bo!
100009436650194649 = 94649 * 1056634900001

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Extrementhusiast
Posts: 1966
Joined: June 16th, 2009, 11:24 pm
Location: USA

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

Post by Extrementhusiast » March 22nd, 2017, 5:45 pm

I don't see why you can't just do something like this for 16.2460:

Code: Select all

x = 28, y = 18, rule = B3/S23
bo$2bo$3o3$13bo$14b2o5bo$13b2o4b2o$20b2o4$12bo8bob2o$13bo2bo4b2obo$11b
3o2b2o7b2o$15bobo9bo$24bobo$24b2o!
Very nice predecessor to 16.185:

Code: Select all

x = 15, y = 12, rule = B3/S23
7b2o$6bo2bo$6bobo$7bo2b3o$bo8bo$ob2o6bo$4bo6b2obo$4bo8bo$2b3o2bo$6bobo
$5bo2bo$6b2o!
I Like My Heisenburps! (and others)

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Goldtiger997
Posts: 762
Joined: June 21st, 2016, 8:00 am

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

Post by Goldtiger997 » March 22nd, 2017, 7:51 pm

16.634 in 9 gliders:

Code: Select all

x = 40, y = 45, rule = B3/S23
24bo$23bo$23b3o18$2bo$3b2o$2b2o23bo$26bo$26b3o2$bo27b2o$b2o26bobo$obo
26bo4$13bo10b2o$13b2o9bobo$12bobo9bo6$38b2o$37b2o$30bo8bo$29b2o$29bobo
!
Now all still-lifes up to 16-bits have syntheses on chris_c's lists!

I think there are now 232 16-bitters with syntheses in 16 gliders or more.
Last edited by Goldtiger997 on March 23rd, 2017, 4:53 am, edited 1 time in total.

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

Post by dvgrn » March 22nd, 2017, 9:07 pm

Goldtiger997 wrote:I think there are now 233 16-bitters with syntheses in 16 gliders or more.
Why so many? There only seem to be 185 rows in chris_c's latest list of still lifes, not counting the three 999's. Are you including oscillators or pseudo-still-lifes as well, or something like that?

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Goldtiger997
Posts: 762
Joined: June 21st, 2016, 8:00 am

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

Post by Goldtiger997 » March 23rd, 2017, 4:52 am

dvgrn wrote:
Goldtiger997 wrote:I think there are now 232 16-bitters with syntheses in 16 gliders or more.
Why so many? There only seem to be 185 rows in chris_c's latest list of still lifes, not counting the three 999's. Are you including oscillators or pseudo-still-lifes as well, or something like that?
The list that chris_c posted above does not include the still-lifes with no appearances on catalogue.

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