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Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 14th, 2017, 3:41 pm
by BobShemyakin
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
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 15th, 2017, 2:23 pm
by chris_c
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
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 15th, 2017, 4:12 pm
by BlinkerSpawn
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
!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 15th, 2017, 9:43 pm
by Bullet51
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.
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 15th, 2017, 10:51 pm
by dvgrn
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.
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 16th, 2017, 8:12 am
by chris_c
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!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 17th, 2017, 5:55 am
by Bullet51
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!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 17th, 2017, 8:27 am
by Goldtiger997
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.
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 17th, 2017, 8:38 am
by BlinkerSpawn
Easier:
Code: Select all
x = 12, y = 13, rule = B3/S23
9b2o$10bo2$5b2ob2o$3bo2b2obo$3b2o$b2o6b2o$2bo5b2obo$o$2o$bo$o$2o!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 17th, 2017, 12:37 pm
by BobShemyakin
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
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 17th, 2017, 5:09 pm
by BlinkerSpawn
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!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 17th, 2017, 5:40 pm
by Extrementhusiast
BlinkerSpawn wrote:BlinkerSpawn wrote:Easier:
Here we are:
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!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 17th, 2017, 8:57 pm
by Goldtiger997
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!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 18th, 2017, 1:21 pm
by chris_c
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
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 18th, 2017, 10:54 pm
by Sokwe
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!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 19th, 2017, 8:01 am
by Goldtiger997
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!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 19th, 2017, 6:00 pm
by AbhpzTa
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!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 20th, 2017, 12:13 am
by Sokwe
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!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 21st, 2017, 7:37 am
by Goldtiger997
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!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 22nd, 2017, 8:30 am
by chris_c
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
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 22nd, 2017, 3:14 pm
by AbhpzTa
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!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 22nd, 2017, 5:45 pm
by Extrementhusiast
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!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 22nd, 2017, 7:51 pm
by Goldtiger997
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.
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 22nd, 2017, 9:07 pm
by dvgrn
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?
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 23rd, 2017, 4:52 am
by Goldtiger997
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.