Page 5 of 12
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 23rd, 2017, 8:16 am
by chris_c
Extrementhusiast wrote: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!
Thanks. I added that version of the converter to my collection. Although the clearance is much better than the version I was using before it doesn't actually improve any of the syntheses up to 16-bit in terms of glider count. Maybe it will help if I ever get around to the 17-bitters. For fun I found a 7G synthesis of the 13-bitter involved:
Code: Select all
x = 138, y = 147, rule = B3/S23
bo$2bo$3o5$5bo$6b2o$5b2o17$23bobo$24b2o110b2o$24bo111b2o3$135b2o$135b
2o3$121bo$120bobo$21b3o96bo2bo$23bo94b2o2b2o$22bo95bo$119bo$118b2o11$
28b2o$28bobo$28bo7$bo$b2o$obo64$36b2o$36b2o3$35b2o$35b2o3$21bo99bo$20b
obo97bobo$20bo2bo96bo2bo$18b2o2b2o94b2o2b2o$18bo99bo$19bo99bo$18b2o98b
2o3$52b3o$52bo$53bo!
Goldtiger997 wrote:
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.
Yay! Now 230 after the improvement to the above 13-bitter.
Goldtiger997 wrote:
The list that chris_c posted above does not include the still-lifes with no appearances on catalogue.
That's correct. I tweaked the code so that all SLs now appear in the list: 47 have no appearance on Catagolue, 131 have less than 10 appearances. Here is the list of expensive SLs sorted by Catagolue frequency and cost. The permanent homes for these lists are
here and
here
Code: Select all
16.657 xs16_695q4ozw321 16 4488
16.131 xs16_660uhar 19 3759
16.1856 xs16_39u06a4z32 16 2455
16.1739 xs16_g88r2qkz121 20 2256
16.1880 xs16_259q453z032 25 2017
16.665 xs16_699mkiczx1 18 1896
16.829 xs16_0md1e8z1226 23 1496
16.748 xs16_39ege2z321 17 1390
16.799 xs16_c8al56z311 17 1200
16.642 xs16_6s1raa4zw1 51 1118
16.228 xs16_178bp2sg 20 1064
16.159 xs16_2egmd1e8 21 974
16.686 xs16_mkkb2acz1 38 918
16.2309 xs16_8kk31e8z641 21 794
16.19 xs16_caarz39c 18 512
16.1992 xs16_25is0cczw65 16 477
16.810 xs16_ca9la4z311 16 476
16.1881 xs16_259q453zw32 19 441
16.834 xs16_8u15a4z1226 25 432
16.774 xs16_69raa4z32 21 432
16.360 xs16_2egu16413 16 366
16.848 xs16_ca9b8oz0252 18 363
16.2014 xs16_25a8kk8z0253 17 348
16.1717 xs16_4aajk46zx121 16 336
16.827 xs16_ciaj2ak8zw1 23 335
16.995 xs16_0raik8z643 16 325
16.1722 xs16_4aq32acz032 17 319
16.265 xs16_259m861ac 17 277
16.716 xs16_3pmk46zx23 17 275
16.1757 xs16_g8idik8z123 18 271
16.2060 xs16_69akg4czx56 16 268
16.1703 xs16_4a9la8ozx121 26 250
16.18 xs16_caarzbd 19 213
16.1684 xs16_4aab9k8zx32 19 170
16.2174 xs16_08u164koz32 27 163
16.353 xs16_321fgc453 23 157
16.668 xs16_gbq1daz121 17 156
16.1740 xs16_69acga6zx32 23 155
16.1990 xs16_8e1tazx1252 18 146
16.1857 xs16_39u0652z32 16 141
16.243 xs16_2egu16426 16 138
16.2018 xs16_25a8c826zw33 18 127
16.822 xs16_8ehikozw56 16 114
16.2445 xs16_ciligzx254c 16 106
16.1787 xs16_069m4koz311 16 105
16.1991 xs16_8e1qbzx1252 17 99
16.953 xs16_0cil56z6221 16 99
16.1929 xs16_0g5r8b5z121 16 99
16.15 xs16_178c1f84c 17 85
16.2295 xs16_0g8go8brz23 24 77
16.155 xs16_3pabp46 18 73
16.2347 xs16_g8861acz0db 28 66
16.1694 xs16_4a5p6o8zx121 19 66
16.1847 xs16_39c8a52z033 17 64
16.628 xs16_kc32qkz0113 28 63
16.1954 xs16_8kk31e8z065 21 62
16.731 xs16_3iajkcz23 28 58
16.836 xs16_4aajkczx56 16 58
16.833 xs16_0mp2sgz1243 20 57
16.616 xs16_i5pajoz11 17 54
16.640 xs16_c9bkkozw32 17 50
16.801 xs16_08eharz321 19 43
16.1904 xs16_8u164koz32 32 42
16.795 xs16_c87p46z311 53 39
16.230 xs16_178jd2ko 19 39
16.2132 xs16_0g8it2sgz23 17 39
16.1106 xs16_0iu0dbz641 25 37
16.313 xs16_3pm44og4c 35 36
16.1691 xs16_4a9l6o8zx121 26 35
16.2201 xs16_0ggml96z641 18 35
16.1304 xs16_0okih3zc8421 16 32
16.1391 xs16_ca168ozc8421 16 32
16.312 xs16_62s53zbd 29 31
16.929 xs16_3iaj2ak8zw1 31 30
16.2541 xs16_g8861aczc93 28 28
16.1994 xs16_0g9fgka4z121 16 28
16.1846 xs16_25a8c93zw33 23 27
16.856 xs16_kc32acz1252 16 24
16.623 xs16_o5r8jdz01 25 23
16.914 xs16_8kkja952zx1 18 23
16.227 xs16_5b8r5426 17 23
16.1702 xs16_4a5p68ozx121 23 19
16.1791 xs16_03lkaa4z3201 20 19
16.1464 xs16_08o696z6ip 16 18
16.706 xs16_39s0qmz023 24 17
16.1766 xs16_kc321e8z123 16 17
16.350 xs16_312461tic 16 15
16.621 xs16_g5r8jdz11 23 14
16.723 xs16_i5p64koz11 20 14
16.1962 xs16_4a9eg8ozw65 20 14
16.2219 xs16_0oe12koz643 16 14
16.786 xs16_3pa3ia4zw11 28 13
16.1034 xs16_3lkaa4z065 24 13
16.278 xs16_32qj43146 29 12
16.1323 xs16_031e8gzc9311 29 12
16.1790 xs16_178cia4z0321 18 12
16.803 xs16_c9bk46z311 17 12
16.724 xs16_j5o64koz11 16 11
16.1758 xs16_4a4o796zw121 17 10
16.682 xs16_69j0j9czx11 33 9
16.996 xs16_2lm853z056 16 9
16.2542 xs16_g88c871zc93 16 9
16.2546 xs16_j9cz122c84c 16 9
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
16.2322 xs16_raak8zx1252 16 6
16.2630 xs16_31e8gzxo9a6 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
16.762 xs16_jhke1e8z1 16 4
16.1080 xs16_3lo0kcz3421 16 4
16.2029 xs16_25ao4a4z2521 16 4
16.2805 xs16_0gs2c871z641 16 4
16.890 xs16_696ki6zw641 35 3
16.842 xs16_cila8oz065 34 3
16.354 xs16_35s26zbd 29 3
16.889 xs16_696ki6zx65 29 3
16.828 xs16_4alhe8z0641 25 3
16.358 xs16_321fgc2ko 19 3
16.1105 xs16_gie0dbz146 18 3
16.1107 xs16_02egdbz2521 18 3
16.1911 xs16_69q3213z32 18 3
16.1685 xs16_c48n98czx23 17 3
16.1867 xs16_069q453z311 17 3
16.1882 xs16_259m453zx23 17 3
16.1710 xs16_4a9bk46zx32 16 3
16.2030 xs16_0i5q8a52z121 16 3
16.2305 xs16_6413ia4z6421 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
16.745 xs16_39qb8oz32 19 2
16.380 xs16_4a40vh248c 17 2
16.875 xs16_4a5pa4z2521 17 2
16.771 xs16_69qb8oz32 16 2
16.840 xs16_c8idiczw56 16 2
16.1675 xs16_xj96z0mdz32 16 2
16.1720 xs16_4a4o79ozx121 16 2
16.2204 xs16_0gilla4z641 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
16.1073 xs16_3lkaa4z641 20 1
16.1912 xs16_at16426z32 19 1
16.2050 xs16_6ik8a52z065 19 1
16.2162 xs16_0at16426z32 19 1
16.1711 xs16_c8idik8z023 18 1
16.2025 xs16_069q48cz2521 18 1
16.2447 xs16_0g8it248cz23 18 1
16.2480 xs16_3iaczw1139c 18 1
16.843 xs16_4a9liczx56 17 1
16.1715 xs16_64p784czw23 17 1
16.2694 xs16_4ai3gzx11mq 17 1
16.2861 xs16_ol3zw343146 17 1
16.3164 xs16_wo443146zbd 17 1
16.104 xs16_0j5ozj4pz11 16 1
16.593 xs16_3123c48gka4 16 1
16.1085 xs16_3h4e12koz011 16 1
16.1864 xs16_31ke1e8z032 16 1
16.2317 xs16_cik8a52z641 16 1
16.217 xs16_3146pajo 39 0
16.3154 xs16_32qkzy0321e8 27 0
16.1077 xs16_69m88cz6221 26 0
16.2928 xs16_wggkq23zc452 26 0
16.1139 xs16_kq23z124871 25 0
16.1398 xs16_g88c93zc952 25 0
16.1084 xs16_31ke12kozw11 21 0
16.1693 xs16_8k8aliczw23 21 0
16.2555 xs16_4a9jzxpia4 20 0
16.3167 xs16_xok21e8zc93 20 0
16.2200 xs16_06agc93z2521 19 0
16.2307 xs16_6ik8a52z641 19 0
16.2316 xs16_0at16413z32 19 0
16.3014 xs16_wok21e8zdb 19 0
16.600 xs16_6421344og84c 18 0
16.697 xs16_db079ozx32 18 0
16.1130 xs16_oe12koz01ac 18 0
16.1558 xs16_3loz1226io 18 0
16.558 xs16_1784c842ak8 17 0
16.1097 xs16_ck0ol3z643 17 0
16.1276 xs16_3iakgozw1ac 17 0
16.1373 xs16_32q4goz4a43 17 0
16.1871 xs16_5bo8ge2z32 17 0
16.1905 xs16_8u16853z32 17 0
16.2045 xs16_25ao8ge2z032 17 0
16.2356 xs16_25icggozx1ac 17 0
16.2467 xs16_0kc3213z34a4 17 0
16.2763 xs16_ol3zw343123 17 0
16.115 xs16_0ol3z0mdz32 16 0
16.302 xs16_5b8o642ac 16 0
16.1068 xs16_3lo0kcz6421 16 0
16.1581 xs16_8o6413zrm 16 0
16.1583 xs16_4a9jzxha6zx11 16 0
16.1796 xs16_0bt06ioz32 16 0
16.1959 xs16_4ai31e8zx56 16 0
16.2028 xs16_25ao48cz2521 16 0
16.2124 xs16_0g8jd2koz23 16 0
16.2129 xs16_0g8jt246z23 16 0
16.2190 xs16_032q4goz6413 16 0
16.2214 xs16_0mq0c93z641 16 0
16.2323 xs16_ra248goz056 16 0
16.2549 xs16_g4c3213zdb 16 0
16.2710 xs16_xkq23zck3z11 16 0
16.2711 xs16_xkq23zc4jz011 16 0
16.2781 xs16_wj9c826z6221 16 0
16.3032 xs16_1784ozx342sg 16 0
16.3069 xs16_39cggzx1o9a4 16 0
Code: Select all
16.795 xs16_c87p46z311 53
16.642 xs16_6s1raa4zw1 51
16.712 xs16_3pc0qmzw23 48
16.1094 xs16_cila8oz641 40
16.217 xs16_3146pajo 39
16.686 xs16_mkkb2acz1 38
16.778 xs16_69la8oz321 36
16.313 xs16_3pm44og4c 35
16.349 xs16_35s26z39c 35
16.890 xs16_696ki6zw641 35
16.842 xs16_cila8oz065 34
16.1721 xs16_64kb2acz032 34
16.218 xs16_3pajc48c 33
16.682 xs16_69j0j9czx11 33
16.147 xs16_32qjap3 32
16.1904 xs16_8u164koz32 32
16.929 xs16_3iaj2ak8zw1 31
16.185 xs16_32qk5b8o 30
16.220 xs16_3123qajo 29
16.278 xs16_32qj43146 29
16.312 xs16_62s53zbd 29
16.354 xs16_35s26zbd 29
16.889 xs16_696ki6zx65 29
16.1323 xs16_031e8gzc9311 29
16.151 xs16_64kr2pm 28
16.628 xs16_kc32qkz0113 28
16.731 xs16_3iajkcz23 28
16.786 xs16_3pa3ia4zw11 28
16.2347 xs16_g8861acz0db 28
16.2541 xs16_g8861aczc93 28
16.1979 xs16_4ap30ga6zw121 27
16.2174 xs16_08u164koz32 27
16.3154 xs16_32qkzy0321e8 27
16.3227 xs16_31e8gzy012ego 27
16.1077 xs16_69m88cz6221 26
16.1691 xs16_4a9l6o8zx121 26
16.1703 xs16_4a9la8ozx121 26
16.2928 xs16_wggkq23zc452 26
16.623 xs16_o5r8jdz01 25
16.828 xs16_4alhe8z0641 25
16.834 xs16_8u15a4z1226 25
16.930 xs16_3iaj21e8zw1 25
16.1106 xs16_0iu0dbz641 25
16.1139 xs16_kq23z124871 25
16.1398 xs16_g88c93zc952 25
16.1880 xs16_259q453z032 25
16.1901 xs16_08obap3z32 25
16.706 xs16_39s0qmz023 24
16.713 xs16_o8bap3z23 24
16.1034 xs16_3lkaa4z065 24
16.1064 xs16_39m88cz6221 24
16.2295 xs16_0g8go8brz23 24
16.300 xs16_9fg4czbd 23
16.353 xs16_321fgc453 23
16.621 xs16_g5r8jdz11 23
16.827 xs16_ciaj2ak8zw1 23
16.829 xs16_0md1e8z1226 23
16.1702 xs16_4a5p68ozx121 23
16.1740 xs16_69acga6zx32 23
16.1846 xs16_25a8c93zw33 23
16.2313 xs16_08u16853z32 23
16.3066 xs16_4a9jzx12ego 23
16.825 xs16_4alhe8zw65 22
16.159 xs16_2egmd1e8 21
16.774 xs16_69raa4z32 21
16.1084 xs16_31ke12kozw11 21
16.1682 xs16_8k9bkk8zw23 21
16.1693 xs16_8k8aliczw23 21
16.1753 xs16_695q4gozw23 21
16.1954 xs16_8kk31e8z065 21
16.2096 xs16_wck5b8oz311 21
16.2309 xs16_8kk31e8z641 21
16.228 xs16_178bp2sg 20
16.723 xs16_i5p64koz11 20
16.833 xs16_0mp2sgz1243 20
16.872 xs16_2lla8oz065 20
16.1073 xs16_3lkaa4z641 20
16.1127 xs16_giligoz104a4 20
16.1739 xs16_g88r2qkz121 20
16.1791 xs16_03lkaa4z3201 20
16.1962 xs16_4a9eg8ozw65 20
16.2058 xs16_69akg4czx146 20
16.2555 xs16_4a9jzxpia4 20
16.3167 xs16_xok21e8zc93 20
16.18 xs16_caarzbd 19
16.131 xs16_660uhar 19
16.230 xs16_178jd2ko 19
16.358 xs16_321fgc2ko 19
16.745 xs16_39qb8oz32 19
16.801 xs16_08eharz321 19
16.1684 xs16_4aab9k8zx32 19
16.1694 xs16_4a5p6o8zx121 19
16.1881 xs16_259q453zw32 19
16.1912 xs16_at16426z32 19
16.2050 xs16_6ik8a52z065 19
16.2162 xs16_0at16426z32 19
16.2200 xs16_06agc93z2521 19
16.2307 xs16_6ik8a52z641 19
16.2316 xs16_0at16413z32 19
16.3014 xs16_wok21e8zdb 19
16.19 xs16_caarz39c 18
16.155 xs16_3pabp46 18
16.600 xs16_6421344og84c 18
16.665 xs16_699mkiczx1 18
16.697 xs16_db079ozx32 18
16.848 xs16_ca9b8oz0252 18
16.914 xs16_8kkja952zx1 18
16.926 xs16_3iajc4gozw1 18
16.1105 xs16_gie0dbz146 18
16.1107 xs16_02egdbz2521 18
16.1130 xs16_oe12koz01ac 18
16.1558 xs16_3loz1226io 18
16.1711 xs16_c8idik8z023 18
16.1757 xs16_g8idik8z123 18
16.1790 xs16_178cia4z0321 18
16.1911 xs16_69q3213z32 18
16.1990 xs16_8e1tazx1252 18
16.1995 xs16_cik8a52z065 18
16.2018 xs16_25a8c826zw33 18
16.2025 xs16_069q48cz2521 18
16.2201 xs16_0ggml96z641 18
16.2447 xs16_0g8it248cz23 18
16.2480 xs16_3iaczw1139c 18
16.15 xs16_178c1f84c 17
16.227 xs16_5b8r5426 17
16.265 xs16_259m861ac 17
16.380 xs16_4a40vh248c 17
16.558 xs16_1784c842ak8 17
16.616 xs16_i5pajoz11 17
16.640 xs16_c9bkkozw32 17
16.668 xs16_gbq1daz121 17
16.716 xs16_3pmk46zx23 17
16.748 xs16_39ege2z321 17
16.799 xs16_c8al56z311 17
16.803 xs16_c9bk46z311 17
16.843 xs16_4a9liczx56 17
16.875 xs16_4a5pa4z2521 17
16.1097 xs16_ck0ol3z643 17
16.1276 xs16_3iakgozw1ac 17
16.1373 xs16_32q4goz4a43 17
16.1685 xs16_c48n98czx23 17
16.1715 xs16_64p784czw23 17
16.1722 xs16_4aq32acz032 17
16.1758 xs16_4a4o796zw121 17
16.1847 xs16_39c8a52z033 17
16.1867 xs16_069q453z311 17
16.1871 xs16_5bo8ge2z32 17
16.1882 xs16_259m453zx23 17
16.1905 xs16_8u16853z32 17
16.1991 xs16_8e1qbzx1252 17
16.2014 xs16_25a8kk8z0253 17
16.2045 xs16_25ao8ge2z032 17
16.2132 xs16_0g8it2sgz23 17
16.2356 xs16_25icggozx1ac 17
16.2467 xs16_0kc3213z34a4 17
16.2694 xs16_4ai3gzx11mq 17
16.2763 xs16_ol3zw343123 17
16.2861 xs16_ol3zw343146 17
16.3163 xs16_wo443123zbd 17
16.3164 xs16_wo443146zbd 17
16.104 xs16_0j5ozj4pz11 16
16.115 xs16_0ol3z0mdz32 16
16.243 xs16_2egu16426 16
16.302 xs16_5b8o642ac 16
16.350 xs16_312461tic 16
16.360 xs16_2egu16413 16
16.593 xs16_3123c48gka4 16
16.657 xs16_695q4ozw321 16
16.724 xs16_j5o64koz11 16
16.762 xs16_jhke1e8z1 16
16.771 xs16_69qb8oz32 16
16.772 xs16_3h4e1daz011 16
16.810 xs16_ca9la4z311 16
16.822 xs16_8ehikozw56 16
16.836 xs16_4aajkczx56 16
16.838 xs16_ci9b8ozw56 16
16.840 xs16_c8idiczw56 16
16.856 xs16_kc32acz1252 16
16.953 xs16_0cil56z6221 16
16.995 xs16_0raik8z643 16
16.996 xs16_2lm853z056 16
16.1068 xs16_3lo0kcz6421 16
16.1080 xs16_3lo0kcz3421 16
16.1085 xs16_3h4e12koz011 16
16.1304 xs16_0okih3zc8421 16
16.1391 xs16_ca168ozc8421 16
16.1464 xs16_08o696z6ip 16
16.1581 xs16_8o6413zrm 16
16.1583 xs16_4a9jzxha6zx11 16
16.1675 xs16_xj96z0mdz32 16
16.1710 xs16_4a9bk46zx32 16
16.1717 xs16_4aajk46zx121 16
16.1720 xs16_4a4o79ozx121 16
16.1766 xs16_kc321e8z123 16
16.1787 xs16_069m4koz311 16
16.1796 xs16_0bt06ioz32 16
16.1856 xs16_39u06a4z32 16
16.1857 xs16_39u0652z32 16
16.1864 xs16_31ke1e8z032 16
16.1929 xs16_0g5r8b5z121 16
16.1959 xs16_4ai31e8zx56 16
16.1992 xs16_25is0cczw65 16
16.1994 xs16_0g9fgka4z121 16
16.2028 xs16_25ao48cz2521 16
16.2029 xs16_25ao4a4z2521 16
16.2030 xs16_0i5q8a52z121 16
16.2060 xs16_69akg4czx56 16
16.2124 xs16_0g8jd2koz23 16
16.2129 xs16_0g8jt246z23 16
16.2190 xs16_032q4goz6413 16
16.2204 xs16_0gilla4z641 16
16.2214 xs16_0mq0c93z641 16
16.2219 xs16_0oe12koz643 16
16.2302 xs16_4ap6413z65 16
16.2305 xs16_6413ia4z6421 16
16.2317 xs16_cik8a52z641 16
16.2322 xs16_raak8zx1252 16
16.2323 xs16_ra248goz056 16
16.2445 xs16_ciligzx254c 16
16.2542 xs16_g88c871zc93 16
16.2546 xs16_j9cz122c84c 16
16.2547 xs16_j9cz122c826 16
16.2549 xs16_g4c3213zdb 16
16.2630 xs16_31e8gzxo9a6 16
16.2710 xs16_xkq23zck3z11 16
16.2711 xs16_xkq23zc4jz011 16
16.2781 xs16_wj9c826z6221 16
16.2805 xs16_0gs2c871z641 16
16.3032 xs16_1784ozx342sg 16
16.3069 xs16_39cggzx1o9a4 16
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 24th, 2017, 6:13 am
by Goldtiger997
16.795 in 10 gliders:
Code: Select all
x = 34, y = 37, rule = B3/S23
24bo$23bo$23b3o$4bo$5b2o$4b2o26bo$31bo$31b3o3$21bo$20bo$20b3o$obo$b2o$
bo4$4bo$2bobo$3b2o3$2b3o$4bo$3bo4$10bo$8bobo$9b2o2$10bo6bo$10b2o4b2o$
9bobo4bobo!
16.3154 in 10 gliders:
Code: Select all
x = 102, y = 24, rule = B3/S23
69bo$67b2o$61bo6b2o$62bo$60b3o$56bo$57b2o$56b2o7bo$65bobo$65b2o$93b2o$
63b3o28bo$65bo28bob2o$64bo30bobo$3bo34b2o28b2o28b2o$4b2obo31bo29bo29bo
$3b2o2bobo28bo29bo29bo$7b2o30b3o9bo17b3o27b3o$41bo9b2o18bo29bo$50bobo$
bo$b2o12b2o$obo11b2o$16bo!
EDIT:
16.2928 in 12 gliders:
Code: Select all
x = 29, y = 26, rule = B3/S23
14bo$14bobo$8bo5b2o$9b2o$8b2o$5bo$3bobo20bobo$4b2o20b2o$12bo14bo$12bob
o$8b3ob2o$10bo$9bo$19bo$18bo$15b2ob3o$14bobo$bo14bo$b2o20b2o$obo20bobo
$23bo$19b2o$18b2o$13b2o5bo$12bobo$14bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 25th, 2017, 3:13 am
by BobShemyakin
16.1992 in 14G:
Code: Select all
x = 199, y = 25, rule = B3/S23
108bo$108bobo$108b2o$103bo$104b2o$103b2o$2bo97b2o31bo29bo29bo$obo20b2o
28b2o23b2o19bobo6b2o22bobo16bo10bobo27bobo$b2o20bobob2o24bobob2o19bobo
b2o17bo6bobob2o19bobob2o13bo10bobob2o24bobob2o$25bob2o26bob2o21bob2o
26bob2o21bob2o11b3o12bob2o26bob2o$25bo29bo24bo29bo24bo29bo28b2o$bo4b2o
15bobo27bobo22bobo27bobo22bobo27bobo29bo$2b2o2bobo13bobo27bobo22bobo
27bobo22bobo27bobo29bo$b2o3bo16bo29bo23b2o28b2o23b2o28b2o30b2o$173b2o$
46b2o126b2o$47b2o2bo121bo3b2o$46bo3b2o125bobo$5b3o42bobo124bo$7bo$6bo$
176bo$153b2o20b2o$152bobo20bobo$154bo!
Bob Shemyakin
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 25th, 2017, 4:45 am
by Sokwe
BobShemyakin wrote:16.1992 in 14G
Reduced to 12G:
Code: Select all
x = 143, y = 25, rule = B3/S23
52bo41bo$52bobo40bo$52b2o39b3o$47bo$48b2o$47b2o$o43b2o31bo29bo29bo$b2o
19b2o19bobo6b2o22bobo27bobo27bobo$2o20bobob2o17bo6bobob2o19bobob2o24bo
bob2o24bobob2o$24bob2o26bob2o21bob2o26bob2o26bob2o$24bo29bo24bo29bo28b
2o$bo3b2o15bobo27bobo22bobo27bobo29bo$2bob2o15bobo27bobo22bobo27bobo
29bo$3o3bo15bo29bo24bo29bo30b2o$117b2o$118b2o$117bo3b2o$5bo115bobo$5b
2o114bo$4bobo2$120bo$93b3o23b2o$95bo23bobo$94bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 26th, 2017, 9:04 am
by Goldtiger997
16.641 in 11 gliders (actually 16.642 thanks AbhpzTa):
Code: Select all
x = 135, y = 84, rule = B3/S23
132bo$132bobo$132b2o22$77bo$78b2o$77b2o9bo$86b2o$87b2o$84bo$82bobo$83b
2o4$114b2o$112b3o$111bo4bo$112b2ob2o$113bobo$13bo24bo13b2o24bo13b2o19b
obo$10bo2bobo22bo13b2o24bo13b2o20bo$8bobo2b2o23bo39bo$9b2o5$bo103bo$b
2o101bo$obo93bo7b3o$95bo$95b3o3$94b3o$94bo$95bo24$30bo$30b2o$29bobo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 26th, 2017, 4:51 pm
by AbhpzTa
Goldtiger997 wrote:16.641 in 11 gliders:
Code: Select all
x = 135, y = 84, rule = B3/S23
132bo$132bobo$132b2o22$77bo$78b2o$77b2o9bo$86b2o$87b2o$84bo$82bobo$83b
2o4$114b2o$112b3o$111bo4bo$112b2ob2o$113bobo$13bo24bo13b2o24bo13b2o19b
obo$10bo2bobo22bo13b2o24bo13b2o20bo$8bobo2b2o23bo39bo$9b2o5$bo103bo$b
2o101bo$obo93bo7b3o$95bo$95b3o3$94b3o$94bo$95bo24$30bo$30b2o$29bobo!
That is 16.642 . (typo?)
16.686 in 6 gliders:
Code: Select all
x = 17, y = 14, rule = B3/S23
5b2o2bo$6b2obobo$5bo3b2o3$14bo$14bobo$7bo6b2o$6bo$b2o3b3o$obo$2bo8b3o$
13bo$12bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 26th, 2017, 5:56 pm
by Sokwe
Goldtiger997 wrote:16.3154 in 10 gliders
The same hook with tail add gives 16.2710 and 16.2711 in 15G:
Code: Select all
x = 192, y = 78, rule = B3/S23
128bo$129bo$93bo33b3o$92bo$92b3o15bo19bo$110bo19bo$110bo19bo$95bobo$
50bo44b2o14bo19bo19bo19bo19bo$8bo39bobo18b2o18b2o5bo12b3o17b3o17b3o17b
3o17b3o$9bo39b2ob3o13bo2bo16bo2bo16bo19bo19bo13bo5bo19bo$7b3o42bo16bob
o17bobo5b3o9bo19bo19bo10bobo6bo19bo$53bo16bo19bo6bo10b2o18b2o18b2o11b
2o5b2o18b2o$11bo12b2obo16b2obo16b2obo16b2obo10bo5b2obo16b2obo16b2obo
16b2obo19bo$5b2o2b2o13bob2o16bob2o16bob2o16bob2o16bob2o16bob2o16bob2o
16bob2o19bo$5bobo2b2o173b2o$5bo154b2o23bo$b2o158b2o23bo$obo157bo24b2o$
2bo163b3o$166bo$167bo$162b3o$164bo$163bo$165b3o$165bo$166bo31$171bo19b
o$169b3o17b3o$162bo5bo19bo$160bobo6bo19bo$161b2o5b2o18b2o$164b2obo19bo
$164bob2o19bo$185b2o$160b2o23bo$161b2o24bo$160bo25b2o$167b3o$167bo$
168bo$163b3o$165bo$164bo$166b3o$166bo$167bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 28th, 2017, 8:45 am
by chris_c
I added recent syntheses and added some converters from v2 of Extrementhusiast's component database. There are 55 improvements since last time; 8 of them take the cost of an SL below 16G:
Code: Select all
+16.1094 xs16_cila8oz641 38
+16.778 xs16_69la8oz321 34
+16.842 xs16_cila8oz065 32
+16.3014 xs16_wok21e8zdb 18
+16.2694 xs16_4ai3gzx11mq 16
+16.3167 xs16_xok21e8zc93 16
+16.2710 xs16_xkq23zck3z11 15
+16.2711 xs16_xkq23zc4jz011 15
+16.3069 xs16_39cggzx1o9a4 15
+16.1782 xs16_039u066z311 13
+16.2039 xs16_6413kk8zw643 13
+16.2153 xs16_o86164koz23 13
+16.3007 xs16_xok21e8z653 13
+16.1836 xs16_39u06a4z032 12
+16.1849 xs16_39u0652z032 12
+16.1992 xs16_25is0cczw65 12
+16.2343 xs16_4a9jzxd552 12
+16.2568 xs16_0g8o652z1qm 12
+16.2928 xs16_wggkq23zc452 12
+15.1253 xs15_xok21e8z253 11
+16.390 xs16_03ia4z2ehp 11
+16.642 xs16_6s1raa4zw1 11
+16.1521 xs16_0gs253z1qm 11
+16.1644 xs16_3lozwgjl8zw1 11
+16.1889 xs16_0jhe853z121 11
+16.2377 xs16_ck5jzw116a4 11
+16.2463 xs16_08o6512koz32 11
+14.395 xs14_ggc4871z56 10
+15.901 xs15_04aq453z311 10
+16.1425 xs16_4aarzxol3 10
+16.1466 xs16_0gs256z1qm 10
+16.2071 xs16_69diczx1252 10
+16.2687 xs16_0g8o652zpi6 10
+16.2964 xs16_3pmzx321e8 10
+16.3026 xs16_ci52zw123ck8 10
+16.3050 xs16_32qkzy032qk 10
+16.3154 xs16_32qkzy0321e8 10
+16.3224 xs16_25a8ozy15b8o 10
+15.443 xs15_39u066z032 9
+16.795 xs16_c87p46z311 9
+16.954 xs16_0cila4z6226 9
+16.1040 xs16_0c9jz651252 9
+16.1047 xs16_25akl3zx65 9
+16.1159 xs16_0j9cz1259a4 9
+16.1160 xs16_259ak8zwbd 9
+14.171 xs14_31e8gzwbd 8
+15.983 xs15_wck31e8z311 8
+15.1112 xs15_08o6413z254c 8
+16.196 xs16_4al960ui 8
+16.1145 xs16_4aarzwc453 8
+16.1292 xs16_o8bdzw178c 8
+16.2950 xs16_4aarzy0178c 8
+15.445 xs15_0cid96z321 7
+16.686 xs16_mkkb2acz1 6
I also improved a couple of converters myself. A 6G at-corner boat adder and a one-sided 5G boat to carrier are both illustrated in this 16G synthesis of 16.3167:
Code: Select all
x = 137, y = 242, rule = B3/S23
38bobo$38b2o$39bo2$134bo$133bobo$25bo106bo2bo$23bobo105bo3b2o$24b2o9bo
bo93b2o$35b2o$36bo2$27b2o6b2o$28b2o5bobo$27bo7bo76$12bo$13b2o$12b2o12$
34bo99bo$33bobo97bobo$32bo2bo96bo2bo$31bo3b2o94bo3b2o$31b2o98b2o$129b
2o$128bobo$12b3o114bo$14bo$13bo2$3o$2bo6b2o$bo8b2o$9bo10$45b3o$45bo$8b
2o36bo$7bobo$9bo72$34bo99bo$33bobo97bobo$32bo2bo96bo2bo$31bo3b2o94bo3b
2o$31b2o98b2o$29b2o98b2o$28bobo99bo$29bo98bo$128b2o10$11b3o$13bo$12bo
2$16b2o$17b2o5b2o$16bo6bobo$25bo18bo$43b2o$43bobo8$45bo$44b2o$44bobo!
Now 16.712 is 9G more expensive than anything else and has only one soup on Catagolue... hmmmm...
Code: Select all
x = 40, y = 29, rule = B3/S23
17b3o5$22b2o$22b2o$13bo18b3o$13bo$13bo16bo5bo$o29bo5bo$o29bo5bo$o$32b
3o6$24b2o$22bo2bo$22bo2bo2$23b2o13b2o$23b2o13b2o$23bo5b2o$24bo4b2o$31b
2o$31b2o!
Latest list:
Code: Select all
16.712 xs16_3pc0qmzw23 48
16.217 xs16_3146pajo 39
16.1094 xs16_cila8oz641 38
16.313 xs16_3pm44og4c 35
16.349 xs16_35s26z39c 35
16.890 xs16_696ki6zw641 35
16.778 xs16_69la8oz321 34
16.1721 xs16_64kb2acz032 34
16.218 xs16_3pajc48c 33
16.682 xs16_69j0j9czx11 33
16.147 xs16_32qjap3 32
16.842 xs16_cila8oz065 32
16.1904 xs16_8u164koz32 32
16.929 xs16_3iaj2ak8zw1 31
16.185 xs16_32qk5b8o 30
16.220 xs16_3123qajo 29
16.278 xs16_32qj43146 29
16.312 xs16_62s53zbd 29
16.354 xs16_35s26zbd 29
16.889 xs16_696ki6zx65 29
16.1323 xs16_031e8gzc9311 29
16.151 xs16_64kr2pm 28
16.628 xs16_kc32qkz0113 28
16.731 xs16_3iajkcz23 28
16.786 xs16_3pa3ia4zw11 28
16.2347 xs16_g8861acz0db 28
16.2541 xs16_g8861aczc93 28
16.1979 xs16_4ap30ga6zw121 27
16.2174 xs16_08u164koz32 27
16.3227 xs16_31e8gzy012ego 27
16.1077 xs16_69m88cz6221 26
16.1691 xs16_4a9l6o8zx121 26
16.1703 xs16_4a9la8ozx121 26
16.623 xs16_o5r8jdz01 25
16.828 xs16_4alhe8z0641 25
16.834 xs16_8u15a4z1226 25
16.930 xs16_3iaj21e8zw1 25
16.1106 xs16_0iu0dbz641 25
16.1139 xs16_kq23z124871 25
16.1398 xs16_g88c93zc952 25
16.1880 xs16_259q453z032 25
16.1901 xs16_08obap3z32 25
16.706 xs16_39s0qmz023 24
16.713 xs16_o8bap3z23 24
16.1034 xs16_3lkaa4z065 24
16.1064 xs16_39m88cz6221 24
16.2295 xs16_0g8go8brz23 24
16.300 xs16_9fg4czbd 23
16.353 xs16_321fgc453 23
16.621 xs16_g5r8jdz11 23
16.827 xs16_ciaj2ak8zw1 23
16.829 xs16_0md1e8z1226 23
16.1702 xs16_4a5p68ozx121 23
16.1740 xs16_69acga6zx32 23
16.1846 xs16_25a8c93zw33 23
16.2313 xs16_08u16853z32 23
16.3066 xs16_4a9jzx12ego 23
16.825 xs16_4alhe8zw65 22
16.159 xs16_2egmd1e8 21
16.774 xs16_69raa4z32 21
16.1084 xs16_31ke12kozw11 21
16.1682 xs16_8k9bkk8zw23 21
16.1693 xs16_8k8aliczw23 21
16.1753 xs16_695q4gozw23 21
16.1954 xs16_8kk31e8z065 21
16.2096 xs16_wck5b8oz311 21
16.2309 xs16_8kk31e8z641 21
16.228 xs16_178bp2sg 20
16.723 xs16_i5p64koz11 20
16.833 xs16_0mp2sgz1243 20
16.872 xs16_2lla8oz065 20
16.1073 xs16_3lkaa4z641 20
16.1127 xs16_giligoz104a4 20
16.1739 xs16_g88r2qkz121 20
16.1791 xs16_03lkaa4z3201 20
16.1962 xs16_4a9eg8ozw65 20
16.2058 xs16_69akg4czx146 20
16.2555 xs16_4a9jzxpia4 20
16.18 xs16_caarzbd 19
16.131 xs16_660uhar 19
16.230 xs16_178jd2ko 19
16.358 xs16_321fgc2ko 19
16.745 xs16_39qb8oz32 19
16.801 xs16_08eharz321 19
16.1684 xs16_4aab9k8zx32 19
16.1694 xs16_4a5p6o8zx121 19
16.1881 xs16_259q453zw32 19
16.1912 xs16_at16426z32 19
16.2050 xs16_6ik8a52z065 19
16.2162 xs16_0at16426z32 19
16.2200 xs16_06agc93z2521 19
16.2307 xs16_6ik8a52z641 19
16.2316 xs16_0at16413z32 19
16.19 xs16_caarz39c 18
16.155 xs16_3pabp46 18
16.600 xs16_6421344og84c 18
16.665 xs16_699mkiczx1 18
16.697 xs16_db079ozx32 18
16.848 xs16_ca9b8oz0252 18
16.914 xs16_8kkja952zx1 18
16.926 xs16_3iajc4gozw1 18
16.1105 xs16_gie0dbz146 18
16.1107 xs16_02egdbz2521 18
16.1130 xs16_oe12koz01ac 18
16.1558 xs16_3loz1226io 18
16.1711 xs16_c8idik8z023 18
16.1757 xs16_g8idik8z123 18
16.1790 xs16_178cia4z0321 18
16.1911 xs16_69q3213z32 18
16.1990 xs16_8e1tazx1252 18
16.1995 xs16_cik8a52z065 18
16.2018 xs16_25a8c826zw33 18
16.2025 xs16_069q48cz2521 18
16.2201 xs16_0ggml96z641 18
16.2447 xs16_0g8it248cz23 18
16.2480 xs16_3iaczw1139c 18
16.3014 xs16_wok21e8zdb 18
16.15 xs16_178c1f84c 17
16.227 xs16_5b8r5426 17
16.265 xs16_259m861ac 17
16.380 xs16_4a40vh248c 17
16.558 xs16_1784c842ak8 17
16.616 xs16_i5pajoz11 17
16.640 xs16_c9bkkozw32 17
16.668 xs16_gbq1daz121 17
16.716 xs16_3pmk46zx23 17
16.748 xs16_39ege2z321 17
16.799 xs16_c8al56z311 17
16.803 xs16_c9bk46z311 17
16.843 xs16_4a9liczx56 17
16.875 xs16_4a5pa4z2521 17
16.1097 xs16_ck0ol3z643 17
16.1276 xs16_3iakgozw1ac 17
16.1373 xs16_32q4goz4a43 17
16.1685 xs16_c48n98czx23 17
16.1715 xs16_64p784czw23 17
16.1722 xs16_4aq32acz032 17
16.1758 xs16_4a4o796zw121 17
16.1847 xs16_39c8a52z033 17
16.1867 xs16_069q453z311 17
16.1871 xs16_5bo8ge2z32 17
16.1882 xs16_259m453zx23 17
16.1905 xs16_8u16853z32 17
16.1991 xs16_8e1qbzx1252 17
16.2014 xs16_25a8kk8z0253 17
16.2045 xs16_25ao8ge2z032 17
16.2132 xs16_0g8it2sgz23 17
16.2356 xs16_25icggozx1ac 17
16.2467 xs16_0kc3213z34a4 17
16.2763 xs16_ol3zw343123 17
16.2861 xs16_ol3zw343146 17
16.3163 xs16_wo443123zbd 17
16.3164 xs16_wo443146zbd 17
16.104 xs16_0j5ozj4pz11 16
16.115 xs16_0ol3z0mdz32 16
16.243 xs16_2egu16426 16
16.302 xs16_5b8o642ac 16
16.350 xs16_312461tic 16
16.360 xs16_2egu16413 16
16.593 xs16_3123c48gka4 16
16.657 xs16_695q4ozw321 16
16.724 xs16_j5o64koz11 16
16.762 xs16_jhke1e8z1 16
16.771 xs16_69qb8oz32 16
16.772 xs16_3h4e1daz011 16
16.810 xs16_ca9la4z311 16
16.822 xs16_8ehikozw56 16
16.836 xs16_4aajkczx56 16
16.838 xs16_ci9b8ozw56 16
16.840 xs16_c8idiczw56 16
16.856 xs16_kc32acz1252 16
16.953 xs16_0cil56z6221 16
16.995 xs16_0raik8z643 16
16.996 xs16_2lm853z056 16
16.1068 xs16_3lo0kcz6421 16
16.1080 xs16_3lo0kcz3421 16
16.1085 xs16_3h4e12koz011 16
16.1304 xs16_0okih3zc8421 16
16.1391 xs16_ca168ozc8421 16
16.1464 xs16_08o696z6ip 16
16.1581 xs16_8o6413zrm 16
16.1583 xs16_4a9jzxha6zx11 16
16.1675 xs16_xj96z0mdz32 16
16.1710 xs16_4a9bk46zx32 16
16.1717 xs16_4aajk46zx121 16
16.1720 xs16_4a4o79ozx121 16
16.1766 xs16_kc321e8z123 16
16.1787 xs16_069m4koz311 16
16.1796 xs16_0bt06ioz32 16
16.1856 xs16_39u06a4z32 16
16.1857 xs16_39u0652z32 16
16.1864 xs16_31ke1e8z032 16
16.1929 xs16_0g5r8b5z121 16
16.1959 xs16_4ai31e8zx56 16
16.1994 xs16_0g9fgka4z121 16
16.2028 xs16_25ao48cz2521 16
16.2029 xs16_25ao4a4z2521 16
16.2030 xs16_0i5q8a52z121 16
16.2060 xs16_69akg4czx56 16
16.2124 xs16_0g8jd2koz23 16
16.2129 xs16_0g8jt246z23 16
16.2190 xs16_032q4goz6413 16
16.2204 xs16_0gilla4z641 16
16.2214 xs16_0mq0c93z641 16
16.2219 xs16_0oe12koz643 16
16.2302 xs16_4ap6413z65 16
16.2305 xs16_6413ia4z6421 16
16.2317 xs16_cik8a52z641 16
16.2322 xs16_raak8zx1252 16
16.2323 xs16_ra248goz056 16
16.2445 xs16_ciligzx254c 16
16.2542 xs16_g88c871zc93 16
16.2546 xs16_j9cz122c84c 16
16.2547 xs16_j9cz122c826 16
16.2549 xs16_g4c3213zdb 16
16.2630 xs16_31e8gzxo9a6 16
16.2694 xs16_4ai3gzx11mq 16
16.2781 xs16_wj9c826z6221 16
16.2805 xs16_0gs2c871z641 16
16.3032 xs16_1784ozx342sg 16
16.3167 xs16_xok21e8zc93 16
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 29th, 2017, 8:47 am
by Goldtiger997
16.313 in 10 gliders:
Code: Select all
x = 137, y = 118, rule = B3/S23
o$b2o$2o28$79bobo$80b2o$70bo9bo$71bo$69b3o12bobo$84b2o$85bo3$67bobo$
68b2o$68bo$64b3o$66bo12bo$65bo11b2o$78b2o5$74bo$75bo$73b3o2b2o$77bobo$
79bo61$135bo$134b2o$134bobo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 29th, 2017, 8:53 am
by BlinkerSpawn
chris_c wrote:Now 16.712 is 9G more expensive than anything else and has only one soup on Catagolue... hmmmm...
Looking at the official 48G synthesis, I see that the only requirement for the complex base is this component here:
Code: Select all
x = 11, y = 17, rule = B3/S23
7b2o$7bo$8bo$5b4o$5bo$7b2o$3bo2b2o2bo$bobo5b2o$2b2o2b3o$5bo2bo$4bobo$b
2o2bo$obo$2bo$5b2o$4b2o$6bo!
Provided another way to create the snake (which may or may not be possible), the rest can be done in as few as 14 gliders:
Code: Select all
x = 81, y = 27, rule = B3/S23
60bo$61bo$59b3o$65bo$65bobo$54bo10b2o$b2o10bo41b2o$obobo7bo41b2o$2bobo
bo5b3o64bo$4b2o72bo$10bo17b2o38b2o8b3o$8b2o19bo39bo$9b2o13b2obo36b2obo
$17bo7bob2o36bob2o$16b2o7bo2bo36bo2bo$16bobo7b2o38b2o2$50b2o$49bobo$
51bo$73b2o$73bobo$73bo$43b2o22b3o$42bobo13bo10bo$44bo13b2o8bo$57bobo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 29th, 2017, 6:24 pm
by Extrementhusiast
Well, this pushes 16.712 down to 30 gliders:
Code: Select all
x = 224, y = 40, rule = B3/S23
159bo$160bo$158b3o3$41bo135bo$39bobo135bobo$40b2o129bo5b2o$144bo27bo$
142b2o26b3o$137bobo3b2o$72bobo42bobo18b2o$23bo48b2o44b2o3bo14bo5bo$23b
2o4bo43bo44bo2b2o20b2o$22bobo5bo91b2o19bobo$28b3o64bo87b2o37b2o$57b2ob
2o25b2ob2ob2o14b2ob2o2bo16b2ob2o2b2o34b2ob2o3bo33b2o3bo$39b2o6bo10bobo
13b2o12bobo3b2o14bobo2bobo16bobo2bobo4b2o29bobo2bo35bo2bo$bo25b3o8bo2b
o4b2o10bo2bo12bobo11bo2bo18bo2bob2o17bo2bob2o4b2o22bo7bo2bob2o12bo22bo
b2o$2bo26bo9bobo4bobo10bobo12bo14bobo19bobo21bobo9bo22bo7bobo15bobo19b
2o2bo$3o25bo11bob2o16bob2o26bob2obo16bob2obo18bob2obo26b3o8bob2obo11b
2o22bo$4b2o35bo2bo16bo2bo7bo18bo2b2o17bo2b2o19bo2b2o38bo2b2o35b2o$3b2o
5bo31bobo17bobo6b2o19bo21bo23bo42bo12b2o$5bo2b2o33bo19bo7bobo19b3o19b
3o21b3o40b3o8b2o$9b2o84bo21bo23bo42bo10bo4$204b3o$170b2o32bo$171b2o32b
o$66b2o102bo$62b2o2bobo$61bobo2bo117b2o$63bo119b2o$185bo2$67b2o$68b2o$
67bo!
A nice related component:
Code: Select all
x = 18, y = 18, rule = B3/S23
7b2o$2ob2o3bo$bobo2bo$bo2bob2o$2bobo11bo$3bob2obo6bo$4bo2b2o6b3o$5bo6b
2o$6b3o2b2o$8bo4bo6$14b3o$14bo$15bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: March 30th, 2017, 3:08 pm
by BobShemyakin
Goldtiger997 wrote:16.313 in 10 gliders:
Code: Select all
x = 137, y = 118, rule = B3/S23
o$b2o$2o28$79bobo$80b2o$70bo9bo$71bo$69b3o12bobo$84b2o$85bo3$67bobo$
68b2o$68bo$64b3o$66bo12bo$65bo11b2o$78b2o5$74bo$75bo$73b3o2b2o$77bobo$
79bo61$135bo$134b2o$134bobo!
You can continue to 16.312 in 15G:
Code: Select all
x = 38, y = 14, rule = B3/S23
9bo$7bobo$8b2o$13bo4bo$11b2o5bobo$12b2o4b2o$2b2o2b2o8bo11b2o2b2obo$2bo
3bo2bo5b2o11bo3bob2o$3b3o2b2o5bobo11b3o$bobo23bobo$b2o8b3o13b2o$11bo$
12bo!
Bob Shemyakin
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 4th, 2017, 4:56 am
by Goldtiger997
16.657 in 8 gliders:
Code: Select all
x = 54, y = 77, rule = B3/S23
52bo$51bo$51b3o22$30bo$28b2o$29b2o3$43bo$42bo$42b3o$38bobo$39b2o$39bo
6bo$24bo20b2o$24b2o19bobo$23bobo15bo$41b2o$40bobo35$b2o$obo$2bo!
EDIT:
16.3167 in 13 gliders:
Code: Select all
x = 135, y = 27, rule = B3/S23
96bobo$96b2o$97bo2$101bo$100bo$100b3o3$8bo43bo39bo40b2o$6bobo42bobo37b
obo37bo2bo$7b2o42b2o38b2o38b2o$10b3o8bo27b2o38b2o12bo25b2o$12bo8bobo
24bobo37bobo10b2o25bobo$11bo9b2o24bo39bo14b2o23bo$46bo39bo39bo$47b3o
37b3o14b2o21b3o$bo11b3o33bo39bo14bobo7b2o13bo$b2o10bo90bo9bobo$obo6b2o
3bo4b3o92bo$8b2o9bo$10bo9bo3$22b2o$22bobo$22bo!
The above improved 8-glider synthesis of the 15-bit still-life also improves these other 16-bit still-lifes:
Code: Select all
x = 38, y = 10, rule = B3/S23
6b2o17b2o$7bo18bo9b2o$5bo9bob2o6bo9bobo$5b2o8b2obo6b2o8b2o$3b2o8b2o8b
2o8b2o$2bobo7bobo7bobo7bobo$bo9bo9bo9bo$o9bo9bo9bo$b3o7b3o7b3o7b3o$3bo
9bo9bo9bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 7th, 2017, 6:50 am
by chris_c
I pushed an update yesterday. Unfortunately it looks like I missed out Goldtiger's 16.313. Oh well, that can wait until next time.
A couple of things that I added were a very ugly 20G synthesis of 16.712 and a 5G snake-to-ac converter. I think it took 6G before:
Code: Select all
x = 158, y = 405, rule = B3/S23
138bo$138bo$46bo91bo$44b2o$45b2o2$41bo100b2o$40b2o100b2o$40bobo5$45b2o
$45bobo$45bo73$17bo$18b2o$17b2o$4bo$5b2o$4b2o2$69bo$67b2o$68b2o3$38bo
99bo$38bo99bo$38bo99bo4$42b2o98b2o$42b2o98b2o9bo$153bo$132b3o18bo2$
149b3o3b3o$119b3o$153bo$153bo$153bo7$17bo$17b2o$16bobo$4bo$4b2o$3bobo$
70b3o$70bo$71bo64$87bo$86bo$86b3o49b2o$138bo3b2o$140bo2bo$139b2obo$
139bo2b2o$37b3o101bo$140b2o4$42b2o98b2o$42b2o73b2o23b2o$33bo18b3o62b2o
$33bo90b2o$33bo16bo5bo67b2o$20bo29bo5bo$20bo29bo5bo$20bo$52b3o69b2o$
124b2o8$133b2o$132bo2bo$132bo2bo$115b2o16b2o$115b2o5$127b2o$126bo2bo$
127b2o13$71b3o$71bo6b3o$72bo5bo$79bo$15b2o$14bobo$16bo2$90b3o$82b2o6bo
$82bobo6bo$82bo43$143b2o$142b2o$144bo11$138b2o$137b2o$139bo30$38b2o98b
2o$38bo3b2o94bo3b2o$40bo2bo96bo2bo$39b2obo96b2obo$39bo2b2o95bo2b2o$41b
o99bo$40b2o98b2o4$42b2o$17b2o23b2o$17b2o$24b2o$24b2o4$24b2o$24b2o8$33b
2o$32bo2bo$32bo2bo$15b2o16b2o$15b2o5$27b2o$26bo2bo$27b2o4$11b2o$10bobo
$12bo6$6b2o$5bobo$7bo4$3o$2bo$bo!
Code: Select all
x = 13, y = 21, rule = B3/S23
10bo$bo8bobo$2bo7b2o$3o5$2bo$3bo5b2obo$b3o5bob2o4$obo$b2o$bo2$2b2o$bob
o$3bo!
Here is the latest list of 16G and above syntheses:
Code: Select all
16.217 xs16_3146pajo 38
16.1094 xs16_cila8oz641 37
16.313 xs16_3pm44og4c 34
16.349 xs16_35s26z39c 34
16.778 xs16_69la8oz321 34
16.890 xs16_696ki6zw641 34
16.1721 xs16_64kb2acz032 34
16.218 xs16_3pajc48c 33
16.682 xs16_69j0j9czx11 33
16.147 xs16_32qjap3 32
16.842 xs16_cila8oz065 32
16.929 xs16_3iaj2ak8zw1 31
16.1904 xs16_8u164koz32 31
16.185 xs16_32qk5b8o 30
16.220 xs16_3123qajo 29
16.312 xs16_62s53zbd 29
16.354 xs16_35s26zbd 29
16.889 xs16_696ki6zx65 29
16.1323 xs16_031e8gzc9311 29
16.151 xs16_64kr2pm 28
16.278 xs16_32qj43146 28
16.628 xs16_kc32qkz0113 28
16.731 xs16_3iajkcz23 28
16.786 xs16_3pa3ia4zw11 28
16.2347 xs16_g8861acz0db 28
16.2541 xs16_g8861aczc93 28
16.1979 xs16_4ap30ga6zw121 27
16.3227 xs16_31e8gzy012ego 27
16.1077 xs16_69m88cz6221 26
16.1691 xs16_4a9l6o8zx121 26
16.1703 xs16_4a9la8ozx121 26
16.2174 xs16_08u164koz32 26
16.623 xs16_o5r8jdz01 25
16.828 xs16_4alhe8z0641 25
16.834 xs16_8u15a4z1226 25
16.930 xs16_3iaj21e8zw1 25
16.1106 xs16_0iu0dbz641 25
16.1139 xs16_kq23z124871 25
16.1398 xs16_g88c93zc952 25
16.1901 xs16_08obap3z32 25
16.706 xs16_39s0qmz023 24
16.713 xs16_o8bap3z23 24
16.1034 xs16_3lkaa4z065 24
16.1064 xs16_39m88cz6221 24
16.1880 xs16_259q453z032 24
16.2295 xs16_0g8go8brz23 24
16.300 xs16_9fg4czbd 23
16.353 xs16_321fgc453 23
16.621 xs16_g5r8jdz11 23
16.827 xs16_ciaj2ak8zw1 23
16.829 xs16_0md1e8z1226 23
16.1702 xs16_4a5p68ozx121 23
16.1740 xs16_69acga6zx32 23
16.3066 xs16_4a9jzx12ego 23
16.825 xs16_4alhe8zw65 22
16.1846 xs16_25a8c93zw33 22
16.2313 xs16_08u16853z32 22
16.159 xs16_2egmd1e8 21
16.774 xs16_69raa4z32 21
16.1084 xs16_31ke12kozw11 21
16.1682 xs16_8k9bkk8zw23 21
16.1693 xs16_8k8aliczw23 21
16.1753 xs16_695q4gozw23 21
16.1954 xs16_8kk31e8z065 21
16.2096 xs16_wck5b8oz311 21
16.2309 xs16_8kk31e8z641 21
16.228 xs16_178bp2sg 20
16.712 xs16_3pc0qmzw23 20
16.723 xs16_i5p64koz11 20
16.833 xs16_0mp2sgz1243 20
16.872 xs16_2lla8oz065 20
16.1073 xs16_3lkaa4z641 20
16.1127 xs16_giligoz104a4 20
16.1739 xs16_g88r2qkz121 20
16.1791 xs16_03lkaa4z3201 20
16.1962 xs16_4a9eg8ozw65 20
16.2058 xs16_69akg4czx146 20
16.2555 xs16_4a9jzxpia4 20
16.18 xs16_caarzbd 19
16.131 xs16_660uhar 19
16.230 xs16_178jd2ko 19
16.358 xs16_321fgc2ko 19
16.745 xs16_39qb8oz32 19
16.801 xs16_08eharz321 19
16.1684 xs16_4aab9k8zx32 19
16.1694 xs16_4a5p6o8zx121 19
16.1881 xs16_259q453zw32 19
16.1912 xs16_at16426z32 19
16.2050 xs16_6ik8a52z065 19
16.2162 xs16_0at16426z32 19
16.2200 xs16_06agc93z2521 19
16.2307 xs16_6ik8a52z641 19
16.2316 xs16_0at16413z32 19
16.19 xs16_caarz39c 18
16.155 xs16_3pabp46 18
16.600 xs16_6421344og84c 18
16.665 xs16_699mkiczx1 18
16.848 xs16_ca9b8oz0252 18
16.914 xs16_8kkja952zx1 18
16.926 xs16_3iajc4gozw1 18
16.1107 xs16_02egdbz2521 18
16.1130 xs16_oe12koz01ac 18
16.1558 xs16_3loz1226io 18
16.1711 xs16_c8idik8z023 18
16.1757 xs16_g8idik8z123 18
16.1790 xs16_178cia4z0321 18
16.1911 xs16_69q3213z32 18
16.1990 xs16_8e1tazx1252 18
16.1995 xs16_cik8a52z065 18
16.2025 xs16_069q48cz2521 18
16.2201 xs16_0ggml96z641 18
16.2447 xs16_0g8it248cz23 18
16.2480 xs16_3iaczw1139c 18
16.15 xs16_178c1f84c 17
16.227 xs16_5b8r5426 17
16.265 xs16_259m861ac 17
16.380 xs16_4a40vh248c 17
16.558 xs16_1784c842ak8 17
16.616 xs16_i5pajoz11 17
16.640 xs16_c9bkkozw32 17
16.668 xs16_gbq1daz121 17
16.697 xs16_db079ozx32 17
16.716 xs16_3pmk46zx23 17
16.748 xs16_39ege2z321 17
16.799 xs16_c8al56z311 17
16.803 xs16_c9bk46z311 17
16.843 xs16_4a9liczx56 17
16.875 xs16_4a5pa4z2521 17
16.1097 xs16_ck0ol3z643 17
16.1105 xs16_gie0dbz146 17
16.1276 xs16_3iakgozw1ac 17
16.1373 xs16_32q4goz4a43 17
16.1685 xs16_c48n98czx23 17
16.1715 xs16_64p784czw23 17
16.1722 xs16_4aq32acz032 17
16.1758 xs16_4a4o796zw121 17
16.1847 xs16_39c8a52z033 17
16.1867 xs16_069q453z311 17
16.1871 xs16_5bo8ge2z32 17
16.1882 xs16_259m453zx23 17
16.1905 xs16_8u16853z32 17
16.1991 xs16_8e1qbzx1252 17
16.2014 xs16_25a8kk8z0253 17
16.2018 xs16_25a8c826zw33 17
16.2045 xs16_25ao8ge2z032 17
16.2132 xs16_0g8it2sgz23 17
16.2356 xs16_25icggozx1ac 17
16.2467 xs16_0kc3213z34a4 17
16.2763 xs16_ol3zw343123 17
16.2861 xs16_ol3zw343146 17
16.3163 xs16_wo443123zbd 17
16.3164 xs16_wo443146zbd 17
16.104 xs16_0j5ozj4pz11 16
16.115 xs16_0ol3z0mdz32 16
16.243 xs16_2egu16426 16
16.302 xs16_5b8o642ac 16
16.350 xs16_312461tic 16
16.360 xs16_2egu16413 16
16.593 xs16_3123c48gka4 16
16.724 xs16_j5o64koz11 16
16.762 xs16_jhke1e8z1 16
16.771 xs16_69qb8oz32 16
16.772 xs16_3h4e1daz011 16
16.810 xs16_ca9la4z311 16
16.822 xs16_8ehikozw56 16
16.836 xs16_4aajkczx56 16
16.838 xs16_ci9b8ozw56 16
16.840 xs16_c8idiczw56 16
16.856 xs16_kc32acz1252 16
16.953 xs16_0cil56z6221 16
16.995 xs16_0raik8z643 16
16.996 xs16_2lm853z056 16
16.1068 xs16_3lo0kcz6421 16
16.1080 xs16_3lo0kcz3421 16
16.1085 xs16_3h4e12koz011 16
16.1304 xs16_0okih3zc8421 16
16.1391 xs16_ca168ozc8421 16
16.1581 xs16_8o6413zrm 16
16.1583 xs16_4a9jzxha6zx11 16
16.1675 xs16_xj96z0mdz32 16
16.1710 xs16_4a9bk46zx32 16
16.1717 xs16_4aajk46zx121 16
16.1720 xs16_4a4o79ozx121 16
16.1766 xs16_kc321e8z123 16
16.1787 xs16_069m4koz311 16
16.1796 xs16_0bt06ioz32 16
16.1856 xs16_39u06a4z32 16
16.1857 xs16_39u0652z32 16
16.1864 xs16_31ke1e8z032 16
16.1929 xs16_0g5r8b5z121 16
16.1959 xs16_4ai31e8zx56 16
16.1994 xs16_0g9fgka4z121 16
16.2028 xs16_25ao48cz2521 16
16.2029 xs16_25ao4a4z2521 16
16.2030 xs16_0i5q8a52z121 16
16.2060 xs16_69akg4czx56 16
16.2124 xs16_0g8jd2koz23 16
16.2129 xs16_0g8jt246z23 16
16.2190 xs16_032q4goz6413 16
16.2204 xs16_0gilla4z641 16
16.2214 xs16_0mq0c93z641 16
16.2219 xs16_0oe12koz643 16
16.2305 xs16_6413ia4z6421 16
16.2317 xs16_cik8a52z641 16
16.2322 xs16_raak8zx1252 16
16.2323 xs16_ra248goz056 16
16.2445 xs16_ciligzx254c 16
16.2549 xs16_g4c3213zdb 16
16.2630 xs16_31e8gzxo9a6 16
16.2781 xs16_wj9c826z6221 16
16.3032 xs16_1784ozx342sg 16
EDIT: Fairly nice predecessor for 16.218 from (I think) the only soup on Catagolue. If the lower piece of junk can be made in 5G or less it would give 16.217 in 15G:
Code: Select all
x = 14, y = 10, rule = B3/S23
12bo$10b3o$11bo$8b2o$4bo$4bo7bo$4bo$9bo2b2o$3o6b2ob2o$10b4o!
Alternatively there is a
related still-life with a handful of appearances on Catagolue. How expensive is it to convert to 16.217 I wonder?
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 8th, 2017, 3:00 am
by Goldtiger997
chris_c wrote:
EDIT: Fairly nice predecessor for 16.218 from (I think) the only soup on Catagolue. If the lower piece of junk can be made in 5G or less it would give 16.217 in 15G...
...Alternatively there is a
related still-life with a handful of appearances on Catagolue. How expensive is it to convert to 16.217 I wonder?
Unfortunately I could not find a way to use either of those. However, I found some different related objects with soups on catalogue. Two have a
beehive instead of a hook, and a third has a
bun instead of a snake.
Here are the most promising soups for each of the first two related still-lifes:
Code: Select all
x = 64, y = 41, rule = B3/S23
17b2o$17b2o9$8b2o$8b2o2$59b3o2$16bo40bo5bo$15b3o39bo5bo$15bob2o38bo5bo
$55bo$8bo45bobo2b3o$7bobo43b2obo$7bobo45bo$8bo$52b2o3b2o$51b3o3b2o$50b
obo5bo$50b2o5b2obo$2b2o47b2o4b5o$2ob2o47bo2b3o3bo$o4bo49b2o$o3b3o$b2o
4bo$5bobo$5b2o2$10b2o$10b2o3$11b2o$11b2o!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 8th, 2017, 12:51 pm
by BlinkerSpawn
The first reduces to this component reaction:
Code: Select all
x = 11, y = 8, rule = B3/S23
2obobo2b2o$5obo2b2o$2b2obo2$2bo4b2o$2b2o3bo$b3o5bo$b2o5b2o!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 13th, 2017, 7:30 pm
by Goldtiger997
Can anyone convert any of these 17 and 18-bit still-lifes into 16.217?:
Code: Select all
x = 38, y = 71, rule = B3/S23
20bobo2$19bo3bo$14bo$4bob2o14bo11bob2o$4b2obo4bobobo3bo13b2obo$2b2o28b
2o$o2bob2o7bo5bo9bo2bob2o$2o2bo2bo22b2o2bobo$5b2o$20bo20$20bobo2$19bo
3bo$5b2o7bo$4bo2bo14bo11bob2o$4b3o5bobobo3bo13b2obo$2b2o28b2o$o2bob2o
7bo5bo9bo2bob2o$2o2bobo23b2o2bobo2$20bo20$20bobo2$19bo3bo$6b2o6bo$4bo
2bo14bo11bob2o$4b3o5bobobo3bo13b2obo$2b2o28b2o$o2bob2o7bo5bo9bo2bob2o$
2o2bobo23b2o2bobo2$20bo!
EDIT:
Possibility for one of those. Turn the red cells on at generation 4:
Code: Select all
x = 12, y = 11, rule = LifeHistory
10.A$9.A$9.3A2$6.2A$4.A2.A$4.3A$2.2A4.D$A2.A.2A.D$2A2.A.A$8.D!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 14th, 2017, 2:22 pm
by chris_c
Goldtiger997 wrote:Can anyone convert any of these 17 and 18-bit still-lifes into 16.217?:
Code: Select all
x = 38, y = 71, rule = B3/S23
20bobo2$19bo3bo$14bo$4bob2o14bo11bob2o$4b2obo4bobobo3bo13b2obo$2b2o28b
2o$o2bob2o7bo5bo9bo2bob2o$2o2bo2bo22b2o2bobo$5b2o$20bo20$20bobo2$19bo
3bo$5b2o7bo$4bo2bo14bo11bob2o$4b3o5bobobo3bo13b2obo$2b2o28b2o$o2bob2o
7bo5bo9bo2bob2o$2o2bobo23b2o2bobo2$20bo20$20bobo2$19bo3bo$6b2o6bo$4bo
2bo14bo11bob2o$4b3o5bobobo3bo13b2obo$2b2o28b2o$o2bob2o7bo5bo9bo2bob2o$
2o2bobo23b2o2bobo2$20bo!
I looked at the first one with JLS and it seemed fairly hopeless For the second one I made a little extra clearance in the old method at the cost of 3G. That brings the cost of 16.217 down to 26G. Not particularly satisfying but there we go.
Code: Select all
x = 136, y = 329, rule = B3/S23
13bo4bo13bobo$7bo6b2o3b2o11b2o$8b2o3b2o3b2o13bo$7b2o3$124bobo$120b2obo
b2o$120bob2o$124b3o$31bobo90bo2bo$31b2o92b2o$32bo2$10b2o$11b2o5b3o$10b
o9bo$19bo4$28b3o$28bo$21b2o6bo$22b2o$21bo60$17bo39bo$15bobo38bo$16b2o
38b3o18$133b3o$24bobo97bobo$20b2obob2o93b2obob2o$20bob2o96bob2o$24b3o
97b3o$24bo2bo96bo2bo$25b2o98b2o70$8bobo$9b2o$9bo2$12bo41bo$13bo39bo$
11b3o39b3o7$2bo$obo$b2o56bo$57b2o$51bo6b2o$4bo40bobo2bo$5bo39b2o3b3o$
3b3o40bo3$34bo$34bo$24bobo7bo89bobo$20b2obob2o93b2obob2o$20bob2o96bob
2o$24b3o97b2obo$24bo2bo96bob2o$25b2o15$47b2o$46b2o$48bo5$8bo$8b2o$7bob
o53$31bobo$bo29b2o$2b2o28bo$b2o5$2bo$3b2o$2b2o3$2bo$3bo$b3o3$24bobo93b
2o2bobo$20b2obob2o93bo2bob2o$20bob2o98b2o$24b2obo96b2obo$24bob2o96bob
2o16$3bo$3b2o$2bobo!
These are the SLs with synthesis above 30G in my list:
Code: Select all
16.778 xs16_69la8oz321 34
16.890 xs16_696ki6zw641 34
16.1721 xs16_64kb2acz032 34
16.682 xs16_69j0j9czx11 33
16.147 xs16_32qjap3 32
16.929 xs16_3iaj2ak8zw1 31
16.1904 xs16_8u164koz32 31
Re: 16 in 16: Efficient 16-bit Synthesis Project (all < 30G)
Posted: April 14th, 2017, 8:23 pm
by Goldtiger997
chris_c wrote:
...That brings the cost of 16.217 down to 26G. Not particularly satisfying but there we go...
By synthesising a different 17-bit still life (carrier instead of snake), 16.217 can be reduced to 20G:
Code: Select all
x = 171, y = 51, rule = B3/S23
obo$b2o$bo16$3bo119bo$bobo120b2o$2b2o3bo115b2o$5b2o$6b2o9bo$16bo110bo
17bo$16b3o106bobo17bobo$11b3o112b2o17b2o$11bo7b3o$o11bo6bo$b2o17bo$2o
75bo$78b2obobo23bo29bo$77b2o2b2o24bo8bo20bo$33b2o2bobo23b2o2bobo12bo
10b2o2bobo7bo9bo5b2o2bobo7bo25b2o2bobo$33bo2bob2o23bo2bob2o23bo2bob2o
15b3o5bo2bob2o33bo2bob2o$35b2o28b2o28b2o28b2o22bobo13b2o$37b3o27b3o27b
3o27b3o19b2o16b2obo$14bo22bo2bo26bo2bo26bo2bo26bo2bo7bo3bo7bo16bob2o$
13b2o23b2o28b2o28b2o19bo8b2o6b2o4bobo$13bobo101bobo17b2o3b2o$118b2o$
139bo$138b2o$138bobo6$122b2o$123b2o$122bo!
16.778 in 10 gliders:
Code: Select all
x = 44, y = 58, rule = B3/S23
15bo$16b2o$15b2o22$35bobo$36b2o$36bo2$42b2o$32bo8b2o$22b2o7b2o10bo$23b
2o6bobo$22bo4$37bobo$37b2o$38bo$31b2o$30bobo6b2o$32bo5bobo$40bo2$3o$2b
o$bo9$6b2o$7b2o$6bo!
16.890 in 11 gliders:
Code: Select all
x = 46, y = 22, rule = B3/S23
43bobo$43b2o$o43bo$b2o$2o26bo$25bo2bobo7bobo$23bobo2b2o8b2o$24b2o13bo$
6bo$4bobo$5b2o19b3o$28bo$7b2o18bo$8b2o$7bo4$28bo$12b2o13b2o4b2o$11bobo
13bobo3bobo$13bo19bo!
EDIT:
16.1721 in 14 gliders:
Code: Select all
x = 48, y = 35, rule = B3/S23
45bo$45bobo$45b2o$15bo$16b2o$15b2o$23bo18bobo$2bo21b2o16b2o$obo20b2o2b
o15bo$b2o24bobo$27b2o3$23bo$24b2o$23b2o3$5bo$3bo3bo$8bo$3bo4bo$4b5o4$
36b3o$20b2o14bo$19bobo15bo$21bo2$10b2o$11b2o32b2o$10bo34bobo$45bo!
It is annoyingly expensive for such as simple reaction, mostly due to a very bulky synthesis of a 2-block-constellation predecessor. Perhaps someone can reduce it...
EDIT2:
16.682 in 9 gliders:
Code: Select all
x = 35, y = 39, rule = B3/S23
19bo$18bo$18b3o12$13bobo$14b2o8bo$bo12bo8bo$2bo20b3o$3o$14bo$12bobo$4b
2o7b2ob3o$5b2o9bo$4bo12bo5$10b2o$10bobo$10bo6$33b2o$32b2o$34bo!
EDIT3:
16.147 in 13 gliders:
Code: Select all
x = 41, y = 46, rule = B3/S23
39bo$38bo$38b3o10$10bo$8bobo$9b2o$5b3o12bo$7bo13b2o$6bo13b2o8bobo$30b
2o$9b2o20bo$9bobo$9bo11bo$5b2o14bobo$6b2o13b2o$5bo4$9b2o$10b2o$9bo8b3o
13b2o$18bo15bobo$19bo14bo6$2o$b2o$o3$31b2o$30b2o$32bo!
EDIT4:
16.929 in 9 gliders:
Code: Select all
x = 29, y = 33, rule = B3/S23
bo$2bo$3o$22bobo$22b2o$23bo$4bobo$5b2o$5bo$20bo$20bobo$20b2o7$2bo$obo$
b2o3$13b2o3bo$14b2ob2o$13bo3bobo4$27b2o$13b2o11b2o$13bobo12bo$13bo!
16.1904 in 13 gliders:
Code: Select all
x = 114, y = 38, rule = B3/S23
61bo$62bo$60b3o4$73bobo$74b2o$74bo$81bobo$81b2o$8bo73bo$6bobo100b2o$7b
2o100bobo$10bo100bo$10bobo36b2o15bo13bo8b2o20b2o$10b2o36bo2bo12b2o13b
2o7bo2bo21bo$49b2o14b2o12bobo7b2o16bob4o$107b2obo$77b2o$76bobo$78bo$
64bo$64b2o$bobo59bobo$b2o38bo39bo$2bo37bobo37bobo$40b2o38b2o$3o$2bo$bo
51b2o$52bobo$54bo3$97bo$96b2o$96bobo!
Now all 16-bit still-lifes cost less than 30 gliders!
Re: 16 in 16: Efficient 16-bit Synthesis Project (all < 30G)
Posted: April 17th, 2017, 5:57 am
by Goldtiger997
16.220 in 13 gliders:
Code: Select all
x = 108, y = 45, rule = B3/S23
8bo$6bobo$7b2o14$9bo5bo$10bo4bobo$8b3o4b2o2$9bo60bo$9b2o59bobo$2bo5bob
o14bo44b2o$obo20b2o19bob2o13bo4bo7bob2o26bob2o$b2o21b2o18b2obo11bobo5b
2o5b2obo26b2obo$60b2o4b2o$42b5o16bo8b5o23bob5o$40bo2bo2bo16b2o5bo2bo2b
o23b2obo2bo$40b2o20bobo5b2o2$66b3o$68bo$9bo57bo$9b2o$8bobo8$b3o$3bo$2b
o!
Re: 16 in 16: Efficient 16-bit Synthesis Project (all < 30G)
Posted: April 17th, 2017, 11:03 am
by chris_c
Goldtiger997 wrote:
Now all 16-bit still-lifes cost less than 30 gliders!
Excellent work! Altogether your syntheses get us down to 28G at most.
Goldtiger997 wrote:16.1721 in 14 gliders:
...
It is annoyingly expensive for such as simple reaction, mostly due to a very bulky synthesis of a 2-block-constellation predecessor. Perhaps someone can reduce it...
I got surprisingly lucky and found a 3G collision that produces an edgy loaf and some junk behind that serves to clean up the later beacon. Now the fact that the pond is one glider more expensive than "ideal" seems perfectly tolerable.
Code: Select all
x = 129, y = 226, rule = B3/S23
10bo$8bobo$9b2o$18bo$16bobo$17b2o8bobo$27b2o$28bo3$18bo$16bobo$17b2o2$
121bo$118bo2b3o$118b3o3bo$obo118bobobo$b2o7bo109bo3bo$bo6bobo108bo7bo$
9b2o108b2o5bobo$126bobo$6bo120bo$6b2o$5bobo5$37b2o$14bo21b2o$14b2o22bo
$13bobo82$21bo99bo$18bo2b3o94bo2b3o$18b3o3bo93b3o3bo$21bobobo95bobobo$
20bo3bo95bo3bo$19bo7bo91bo$19b2o5bobo90b2o$26bobo$27bo3$31b2o$31bobo$
31bo82$33bo$32bo$32b3o3$21bo99bo$18bo2b3o94bo2b3o$18b3o3bo93b3o3bo$21b
obobo95bob2o$20bo3bo95bo$19bo99bo$19b2o98b2o3$32b3o$32bo$33bo!
Goldtiger997 wrote:16.929 in 9 gliders:
I got this one down to 8G by elegantly noticing (*) that 2-glider mess does a reasonably good impression of a phi-spark at some point. The 1G reduction is useful because my system now tells us we have 16.827 in 15G as a bonus:
Code: Select all
x = 126, y = 138, rule = B3/S23
32bo$30b2o$31b2o2$43bo$43bobo$43b2o6$22bo$23bo94bo2bo$21b3o94b6o$124bo
$120bo2bobo$14b2o103bobo2bo$15b2o103bo$14bo2$21b2o$20bobo$22bo$40b2o$
39b2o$41bo5$15b3o27bo$17bo26b2o$16bo27bobo57$29bo$29bobo$29b2o2$3bo$bo
bo$2b2o24bo$28bobo$28b2o2$obo$b2o$bo4$5bobo$6b2o$6bo5$18bo2bo99bo$18b
6o95b5o$24bo93bo5bo$20bo2bobo92bobo2bobo$19bobo2bo94bobo2bo$20bo99bo7$
6b3o$8bo$7bo8$29bo$28b2o$28bobo!
Goldtiger997 wrote:16.220 in 13 gliders:
Actually in 12G. There is a 4G ac-to-snake that has been on my machine since Dec 8th. Here are all of the ac-to-snake converters I have:
Code: Select all
x = 89, y = 24, rule = LifeHistory
43.A$43.A.A$43.2A$70.A.A$4.A60.A4.2A$5.A57.A.A5.A$3.3A35.A.A20.2A$14.
A26.2A7.A30.A$12.2A19.A8.A7.A.A14.A11.2A$13.2A16.A.A16.2A13.2A13.2A$
32.2A32.2A$3.A.A10.A$4.2A10.A.A$4.A11.2A$86.2A$86.A.A$86.A2$10.2E28.
2E28.2E$11.E29.E29.E$9.E29.E29.E$3A6.2E28.2E28.2E$2.A$.A!
The first one is old. The second is the cheapest. The third has better clearance in the south-west. I think the 2nd are 3rd were made by me but I could be wrong.
Now there are 192 still life which cost at least 16G. Here are those with cost at least 20:
Code: Select all
16.151 xs16_64kr2pm 28
16.278 xs16_32qj43146 28
16.349 xs16_35s26z39c 28
16.628 xs16_kc32qkz0113 28
16.731 xs16_3iajkcz23 28
16.786 xs16_3pa3ia4zw11 28
16.1979 xs16_4ap30ga6zw121 27
16.3227 xs16_31e8gzy012ego 27
16.1077 xs16_69m88cz6221 26
16.1691 xs16_4a9l6o8zx121 26
16.1703 xs16_4a9la8ozx121 26
16.623 xs16_o5r8jdz01 25
16.828 xs16_4alhe8z0641 25
16.834 xs16_8u15a4z1226 25
16.930 xs16_3iaj21e8zw1 25
16.1139 xs16_kq23z124871 25
16.1398 xs16_g88c93zc952 25
16.706 xs16_39s0qmz023 24
16.713 xs16_o8bap3z23 24
16.1034 xs16_3lkaa4z065 24
16.1064 xs16_39m88cz6221 24
16.1323 xs16_031e8gzc9311 24
16.1880 xs16_259q453z032 24
16.2295 xs16_0g8go8brz23 24
16.300 xs16_9fg4czbd 23
16.353 xs16_321fgc453 23
16.354 xs16_35s26zbd 23
16.621 xs16_g5r8jdz11 23
16.829 xs16_0md1e8z1226 23
16.1702 xs16_4a5p68ozx121 23
16.1740 xs16_69acga6zx32 23
16.3066 xs16_4a9jzx12ego 23
16.825 xs16_4alhe8zw65 22
16.1846 xs16_25a8c93zw33 22
16.2313 xs16_08u16853z32 22
16.159 xs16_2egmd1e8 21
16.218 xs16_3pajc48c 21
16.774 xs16_69raa4z32 21
16.1084 xs16_31ke12kozw11 21
16.1682 xs16_8k9bkk8zw23 21
16.1693 xs16_8k8aliczw23 21
16.1753 xs16_695q4gozw23 21
16.1954 xs16_8kk31e8z065 21
16.2096 xs16_wck5b8oz311 21
16.2309 xs16_8kk31e8z641 21
16.217 xs16_3146pajo 20
16.228 xs16_178bp2sg 20
16.712 xs16_3pc0qmzw23 20
16.723 xs16_i5p64koz11 20
16.833 xs16_0mp2sgz1243 20
16.872 xs16_2lla8oz065 20
16.1073 xs16_3lkaa4z641 20
16.1127 xs16_giligoz104a4 20
16.1739 xs16_g88r2qkz121 20
16.1791 xs16_03lkaa4z3201 20
16.1962 xs16_4a9eg8ozw65 20
16.2058 xs16_69akg4czx146 20
16.2555 xs16_4a9jzxpia4 20
(*) in reality it was brute force...
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 17th, 2017, 11:42 am
by BlinkerSpawn
This should drop 16.151 to about 18G:
Code: Select all
x = 95, y = 72, rule = B3/S23
93bo$92bo$92b3o18$36bo$34bobo$35b2o$54bo$54bobo$54b2o3$26bo$25bobo$25b
obo$26bo2$30b2o$29bo2bo$30b2o2$26bo8b3o$25bobo9bo25b3o$25bobo8bo$26bo$
48bo$46b3o$46bobo9bo$46bo10b2o$57bobo2$54bo$54b2o$53bobo20$2o$b2o$o!
Re: 16 in 16: Efficient 16-bit Synthesis Project (all < 29G)
Posted: April 17th, 2017, 9:07 pm
by Goldtiger997
BlinkerSpawn wrote:This should drop 16.151 to about 18G:
Code: Select all
x = 95, y = 72, rule = B3/S23
93bo$92bo$92b3o18$36bo$34bobo$35b2o$54bo$54bobo$54b2o3$26bo$25bobo$25b
obo$26bo2$30b2o$29bo2bo$30b2o2$26bo8b3o$25bobo9bo25b3o$25bobo8bo$26bo$
48bo$46b3o$46bobo9bo$46bo10b2o$57bobo2$54bo$54b2o$53bobo20$2o$b2o$o!
16.151 in 15 gliders:
Code: Select all
x = 112, y = 97, rule = B3/S23
110bo$109bo$109b3o18$37bo$35bobo$36b2o$71bo$71bobo$71b2o8$21bo$22b2o$
21b2o3$34bo$35b2o$34b2o2$33bo$33b2o$32bobo15bo16bo$48bobo16bobo$49b2o
16b2o2$66bo$48bo18bo$49b2o14b3o$48b2o2$36b3o$38bo$37bo2$73bo$72b2o$72b
obo3$49bo$49b2o$48bobo21$b2o$2b2o$bo7$2o$b2o$o!
EDIT:
16.278 in 12 gliders:
Code: Select all
x = 79, y = 99, rule = B3/S23
77bo$76bo$76b3o5$55bo$54bo$54b3o20$27bo$25b2o$26b2o2$36bobo$16b2o7b2o
9b2o$17b2o5b2o11bo$16bo9bo3$22bo$23b2o$22b2o2$21bo$20b2o$20bobo5$34bo$
33bo$33b3o2$34bo$33b2o$33bobo3b3o$39bo$40bo38$2o$b2o$o!
Got stuck on 16.349...
Re: 16 in 16: Efficient 16-bit Synthesis Project (all < 29G)
Posted: April 18th, 2017, 10:42 am
by chris_c
Goldtiger997 wrote:
Got stuck on 16.349...
I spent quite a while on it too.... Can this be completed cheaply enough? I'm out of time for now.
Code: Select all
x = 23, y = 27, rule = B3/S23
4bo$2bobo5bobo$3b2o5b2o$11bo2$2bo14bo$obo6bo6b3o$b2o4bobo6bo$8b2o$4b2o
$3bobo12bo$5bo12bobo$18b2o7$21b2o$15b2o3b2o$14b2o6bo$16bo2$9b2o$10b2o$
9bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 18th, 2017, 11:17 am
by BlinkerSpawn
16.628:
Code: Select all
x = 51, y = 30, rule = B3/S23
21bo28bo$19b2o27b2o$9bo10b2o27b2o$10b2o$9b2o2$39bo$39bobo$18bobo18b2o$
17bo$17bo3bo$5b2o11b4o$6b2o13bo$5bo3$45bo$29bo13b2o$29b4o11b2o$29bo3bo
$33bo$10b2o18bobo$9bobo$11bo2$40b2o$39b2o$2o27b2o10bo$b2o27b2o$o28bo!