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Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 24th, 2017, 8:04 pm
by Goldtiger997
chris_c wrote:...It brings 16.745 down to 16G. Are there any constellations that can reduce this further?
Using a TL-block constellation brings it down to 15G:
Code: Select all
x = 135, y = 427, rule = B3/S23
116b3o2$114bo5bo$114bo5bo$114bo5bo2$12b3o5bo95b3o$14bo3bobo$13bo5b2o2$
22bo$20b2o99b2o$21b2o98b2o59$55bo$54bo$54b3o$10bo$8bobo$9b2o23$134bo$
16b3o97b3o15bo$134bo$14bo5bo93bo5bo$14bo5bo93bo5bo$14bo5bo93bo5bo2$16b
3o97b3o5$21b2o98b2o$21b2o98b2o56$64bo$64bobo$64b2o15$8bobo$9b2o$9bo12$
17bo96b2o$17bo15b3o78b2o$17bo$118b2obo$13b3o3b3o96bob2o2$17bo101b5o$
17bo99bo2bo2bo$17bo99b2o4$21b2o$21b2o15$54b2o$54bobo$54bo5$5b2o$4bobo$
6bo58$10bo$11bo$9b3o3$14b2o$14b2o2$18b2obo96b2obo$18bob2o96bob2o2$19b
5o95b5o$17bo2bo2bo93bo2bo2bo$17b2o98b2o87$2bo$obo$b2o6$18b2obo96b2obo$
18bob2o96bob2o2$19b5o95b5o$17bo2bo2bo96bo2bo$17b2o99bo$118b2o13$9bo$2b
2o5b2o24bo$bobo4bobo23b2o$3bo9b2o19bobo$12bobo$14bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 24th, 2017, 8:13 pm
by chris_c
Goldtiger997 wrote:
Using a TL-block constellation brings it down to 15G:
Thanks. I guess this should give 16.713 in 11G but I'm not going to complete it until tomorrow:
Code: Select all
x = 52, y = 49, rule = B3/S23
o$b2o$2o16$27b2o$26bo2bo$27b2o2$30b2o$30b2o2$22bo$21bobo$20bo3bo$20bo
3bo$20b2ob2o5$30b3o4$50b2o$49b2o$51bo6$22b3o$24bo$23bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 25th, 2017, 7:29 am
by Goldtiger997
chris_c wrote:Thanks. I guess this should give 16.713 in 11G but I'm not going to complete it until tomorrow:
Yes, 16.713 in 11 gliders:
Code: Select all
x = 64, y = 61, rule = B3/S23
o$b2o$2o3$58bobo$58b2o$59bo14$42bobo$42b2o$43bo3$35bo$33bobo$34b2o2$
36b3o$38bo$37bo6$24bo$24b2o$23bobo11bobo$37b2o$31bo6bo$30b2o$30bobo4b
2o$36b2o$38bo4$62b2o$61b2o$63bo6$22b3o$24bo$23bo!
Here are some predecessors for 16.1323 that have a hope of taking only 10 gliders, which would give 16.1398 in 15 gliders:
Code: Select all
x = 47, y = 17, rule = B3/S23
6bo34bo$6bo34bo$6bo34bo3$8bo34bo$6b2obo31b2obo$7bobo32bobo$8bo34bo2$9b
2o33b2o$9b3o32bobo$45bo$2bo34bo$bobo32bobo$o2bo31bo2bo$b2o33b2o!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 25th, 2017, 10:11 am
by AbhpzTa
Goldtiger997 wrote:chris_c wrote:...It brings 16.745 down to 16G. Are there any constellations that can reduce this further?
Using a TL-block constellation brings it down to 15G:
Code: Select all
x = 135, y = 427, rule = B3/S23
116b3o2$114bo5bo$114bo5bo$114bo5bo2$12b3o5bo95b3o$14bo3bobo$13bo5b2o2$
22bo$20b2o99b2o$21b2o98b2o59$55bo$54bo$54b3o$10bo$8bobo$9b2o23$134bo$
16b3o97b3o15bo$134bo$14bo5bo93bo5bo$14bo5bo93bo5bo$14bo5bo93bo5bo2$16b
3o97b3o5$21b2o98b2o$21b2o98b2o56$64bo$64bobo$64b2o15$8bobo$9b2o$9bo12$
17bo96b2o$17bo15b3o78b2o$17bo$118b2obo$13b3o3b3o96bob2o2$17bo101b5o$
17bo99bo2bo2bo$17bo99b2o4$21b2o$21b2o15$54b2o$54bobo$54bo5$5b2o$4bobo$
6bo58$10bo$11bo$9b3o3$14b2o$14b2o2$18b2obo96b2obo$18bob2o96bob2o2$19b
5o95b5o$17bo2bo2bo93bo2bo2bo$17b2o98b2o87$2bo$obo$b2o6$18b2obo96b2obo$
18bob2o96bob2o2$19b5o95b5o$17bo2bo2bo96bo2bo$17b2o99bo$118b2o13$9bo$2b
2o5b2o24bo$bobo4bobo23b2o$3bo9b2o19bobo$12bobo$14bo!
Reduced to 13G:
Code: Select all
x = 65, y = 170, rule = B3/S23
58bo$58bo$58bo2$54b3o3b3o2$4bo53bo$4b2o4bo47bo$3bobo5b2o45bo$10b2o2$
12bo$11bo50b2o$11b3o48b2o33$28bo$28bobo$28b2o2$8bo46b2o$8bo46b2o$8bo$
59b2obo$4b3o3b3o46bob2o2$8bo11bo39b5o$8bo12b2o35bo2bo2bo$8bo11b2o2b3o
31b2o$24bo$25bo2$12b2o$12b2o2$16b3o$18bo$17bo30$3bo$bobo$2b2o$5b2o$5b
2o2$9b2obo46b2obo$9bob2o46bob2o2$10b5o45b5o$8bo2bo2bo43bo2bo2bo$8b2o
48b2o45$bo7b2obo46b2obo$2bo6bob2o46bob2o$3o$10b5o45b5o$8bo2bo2bo46bo2b
o$8b2o49bo$59b2o5$8b2o$b3o5b2o6b2o$3bo4bo7b2o$2bo9b3o3bo$14bo$13bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 25th, 2017, 12:10 pm
by chris_c
Goldtiger997 wrote:
Yes, 16.713 in 11 gliders
Thanks!
Godltiger997 wrote:
Here are some predecessors for 16.1323 that have a hope of taking only 10 gliders, which would give 16.1398 in 15 gliders:
In 12G...
Code: Select all
x = 73, y = 95, rule = B3/S23
3bo$4b2o$3b2o18$o$b2o$2o25$40bo$28bo11bobo$29b2o9b2o$28b2o4$38bo$34bob
2o$32bobo2b2o$33b2o6$41bo$40bobo$23b3o8b2o4bo2bo$25bo7b2o6b2o$24bo10bo
3$35b2o$34b2o$36bo20$71bo$70b2o$70bobo!
Here's a quick peek at the SLs at 20G and above:
Code: Select all
16.1139 xs16_kq23z124871 25
16.353 xs16_321fgc453 23
16.621 xs16_g5r8jdz11 23
16.829 xs16_0md1e8z1226 23
16.1702 xs16_4a5p68ozx121 23
16.1740 xs16_69acga6zx32 23
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
16.1127 xs16_giligoz104a4 20
16.1739 xs16_g88r2qkz121 20
16.1791 xs16_03lkaa4z3201 20
16.1962 xs16_4a9eg8ozw65 20
16.2058 xs16_69akg4czx146 20
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 26th, 2017, 4:46 am
by Sokwe
16.1139 in 15G:
Code: Select all
x = 339, y = 34, rule = B3/S23
238bo$236bobo29b2o28b2o$225bo11b2o29b2o28b2o$226bo$224b3o10bo57b3o$
237b2o58bo$236bobo57bo7$2bobo31bo29bo29bo29bo29bo29bo29bo15bo13bo29bo
29bo29bo$3b2o29b3o27b3o27b3o27b3o27b3o27b3o27b3o16bo10b3o27b3o27b3o27b
3o$3bo29bo29bo29bo29bo29bo29bo29bo17b3o9bo29bo29bo29bo$33b2o24bo3b2o
27bobo27bobo27bobo27bobo27bobo27bobo29bo29bo29bo$3o57bo32b2o28b2o28b2o
28b2o28b2o28b2o28b2o28b2o28b2o$2bo55b3o96b2o28b2o28b2o28b2o24bo3b2o24b
o3b2o24bo3b2o$bo155bo20bo8bo29bo29bo26bo2bo26bo2bo26bo2bo$60b3o64b2o
26bobo21bo5bobo26b2obo26b2obo27bobo27bobo27bobo$60bo65b2o27b2o20b3o5b
2o27bobo27bobo29bo29bo29bo$61bo61b2o3bo$122bobo55b3o$124bo57bo$181bo$
188bo$187b2o$187bobo3$247b3o$247bo$248bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 26th, 2017, 6:57 pm
by BlinkerSpawn
16.353 takes 12 (left) but might be as few as 10 (right):
Code: Select all
x = 47, y = 18, rule = B3/S23
11b2o$11b2o3$41bo2b2o$41bo2bo$4b3o7b2o19b2o4bo3bo$14bo19bo2bo7b2o$b2o
11bobo18b2o$o2bo11b2o$b2o2$40bo$39bobo$6bo32bo2bo$5bobo32b2o$5bo2bo$6b
2o!
Reaction for 16.621:
Code: Select all
x = 111, y = 98, rule = B3/S23
96bo$95bo$95b3o35$42b2o$41bo2bo$42b2o3$42b2o$41bobo$42bo4bo$47b2o$46bo
bo$46b2o$46bo6bobo$53b2o$34b2o18bo$33bo2bo10bo$34bobo9bobo$35bo9bo3bo$
46bobo$47bo35$3o$2bo$bo3$109bo$108b2o$108bobo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 26th, 2017, 9:54 pm
by Extrementhusiast
BlinkerSpawn wrote:16.353 takes 12 (left) but might be as few as 10 (right):
Definitely ten:
Code: Select all
x = 18, y = 21, rule = B3/S23
15bo$14bo$11bo2b3o$12bo$10b3o3$13bo$13bobo$13b2o$6b3o$b2o$o2bo11bobo$b
2o12b2o$16bo3$6bo4b3o$5bobo3bo$5bo2bo3bo$6b2o!
However, I have a strong suspicion that it can be made with even less, at least partly because of this:
Code: Select all
x = 6, y = 8, rule = B3/S23
2bo$obo$b2o2$3b2o$2bo2bo$2bobo$3bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 26th, 2017, 10:52 pm
by Sokwe
16.697 can be done in 12G by trivially modifying the synthesis of 16.698:
Code: Select all
x = 75, y = 24, rule = B3/S23
10bo$9bo$9b3o$70bobo$2bo34bobo30b2o$3b2o32b2o32bo$2b2o2bo26bo4bo30bo$
6bobo20b2obobo24b2ob2o4b2o$6b2o22bobobo2b2o21bobo5bobo$29bo2b2o2b2o21b
o2bobo$29b2o7bo20b2o2b2o8bo$72b2o$72bobo$2o$obo$o58b2o$58bobo$60bo$66b
2o$66bobo$66bo$60b2o$59bobo$61bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 27th, 2017, 7:17 am
by BlinkerSpawn
Extrementhusiast wrote:BlinkerSpawn wrote:16.353 takes 12 (left) but might be as few as 10 (right):
Definitely ten:
My estimate of ten was based upon making the sparked-R octomino in 3 gliders like the G+loaf collision does and everything else in 2, and the G+loaf collision doesn't seem to fit with 2G blinker syntheses.
Unless you can make the three-object constellation in 4G total your synthesis would still take 11 or 12 (5G + 5-6 for three objects + 1 cleanup).
Another reaction for 16.621, this time neater:
Code: Select all
x = 13, y = 9, rule = B3/S23
4bobo2$5bo$5b2ob3o$5b2o2$bo8b3o$b2o$obo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 27th, 2017, 7:55 am
by Goldtiger997
Sokwe wrote:16.1139 in 15G:...
Nicely done!
chris_c wrote:Godltiger997 wrote:
Here are some predecessors for 16.1323 that have a hope of taking only 10 gliders, which would give 16.1398 in 15 gliders:
In 12G...
I'll see if I can reduce it (I highly doubt I'll get it to ten though).
BlinkerSpawn wrote:16.353 takes 12 (left) but might be as few as 10 (right):
Code: Select all
x = 47, y = 18, rule = B3/S23
11b2o$11b2o3$41bo2b2o$41bo2bo$4b3o7b2o19b2o4bo3bo$14bo19bo2bo7b2o$b2o
11bobo18b2o$o2bo11b2o$b2o2$40bo$39bobo$6bo32bo2bo$5bobo32b2o$5bo2bo$6b
2o!
16.353 in 9 gliders:
Code: Select all
x = 30, y = 28, rule = B3/S23
bo$2bo$3o6$27bobo$27b2o$28bo$17bo$15bobo$11bo4b2o$9bobo$10b2o6b3o$20bo
6bo$19bo6bo$26b3o2$12bobo5b2o$13b2o4bobo$13bo7bo3$20b2o$19b2o$21bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 27th, 2017, 8:45 am
by chris_c
Sokwe wrote:16.697 can be done in 12G by trivially modifying the synthesis of 16.698:
The same component also reduces 16.1105 and 16.1464
Goldtiger997 wrote:16.353 in 9 gliders:
This reduces 16.358 to 14G.
Here is 16.2313 in 15G:
Code: Select all
x = 128, y = 411, rule = B3/S23
27bo$26bo$26b3o$21bo$22bo$20b3o$123b2o$123b2o3$125b3o2$22b2o$23b2o$22b
o69$13bobo4bo13bo$14b2o2bobo12bo$14bo4b2o12b3o4$120b2o2b2o$120b2o2b2o
16$23b2o98b2o$23b2o98b2o3$25b3o97b3o74$4bo$5b2o$4b2o2$122bo$20b2o2b2o
95bobo$20b2o2b2o95bob3o$120b2o4bo$121bo3b2o$119bo$119b2o12$23b2o$23b2o
3$25b3o5$6b2o$7b2o$6bo2$2o$b2o$o20$63b3o$63bo$64bo45$22bo99bo$21bobo
97bobo$21bob3o95bob3o$20b2o4bo93b2o4bo$21bo3b2o94bo3b2o$19bo99bo$19b2o
98b2o4b2o$124bobo$125bo7$15b2o$14bobo$16bo67$42bo$41bo$16bo24b3o$14bob
o$15b2o12$22bo99bo2b2o$21bobo97bobo2bo$21bob3o95bobobo$20b2o4bo93b2o2b
o$21bo3b2o94bo$19bo99bo$19b2o4b2o92b2o$24bobo$25bo9$41bo$40b2o$40bobo$
10bo$10b2o$9bobo!
SLs at 20G or above:
Code: Select all
16.621 xs16_g5r8jdz11 23
16.829 xs16_0md1e8z1226 23
16.1702 xs16_4a5p68ozx121 23
16.1740 xs16_69acga6zx32 23
16.1846 xs16_25a8c93zw33 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
16.1127 xs16_giligoz104a4 20
16.1739 xs16_g88r2qkz121 20
16.1791 xs16_03lkaa4z3201 20
16.1962 xs16_4a9eg8ozw65 20
16.2058 xs16_69akg4czx146 20
EDITBlinkerSpawn wrote:
Reaction for 16.621:
16.621 in 14G:
Code: Select all
x = 120, y = 80, rule = B3/S23
47bo$46bo$46b3o$19bo$20bo$18b3o3$43bo$42bo$42b3o4$12bo19bo$13bo19b2o$
11b3o18b2o4$51bo$35bobo12bo$36b2o12b3o$36bo5$32b2o81b2ob2o$31bobo82bob
o$33bo81bo3bo$116b2obo$114bobobo$114b2o$20bo$20b2o$19bobo2$31bo$31b2o
75b2o$30bobo74bo2bo$45b2o61b2o$45bobo$38b2o5bo57b3o$38bobo64bo$38bo65b
o32$2o$b2o$o!
EDIT2: 16.829 in 8G:
Code: Select all
x = 23, y = 26, rule = B3/S23
7bo$8bo$6b3o10bo$18bo$18b3o$11bo$12b2o$11b2o$6b3o$8bo$7bo$2o$b2o$o4$
12bo$12b2o7bo$11bobo6b2o$20bobo3$13b3o$15bo$14bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 27th, 2017, 11:08 am
by BlinkerSpawn
Tough reaction for 16.829:
Code: Select all
x = 23, y = 10, rule = B3/S23
13b3o$13b3o2$7b2ob3o$b2o4b2o$o2bo$b2ob2o$b2ob2o14b2o$3bo16bobo$20bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 27th, 2017, 10:39 pm
by dvgrn
chris_c wrote:
SLs at 20G or above:
...
16.2309 xs16_8kk31e8z641 21
This one is an easy 14G from
the first soup I tried, and can no doubt be done in less -- possibly starting from T=175 in this pattern:
Code: Select all
#C 16.2309 in 14G
x = 153, y = 151, rule = B3/S23
bo$2bo$3o6$129bo$127b2o$128b2o51$103bo$103bobo$103b2o14$70b2o$69bobo$
71bo$78b2o$77b2o$79bo2$64b2o$63bobo$65bo2$103b3o$60b2o19b2o20bo$59bobo
19bobo20bo$61bo19bo3$56bo$56b2o$55bobo2$61bo26b2o$61b2o24b2o$60bobo26b
o29$150b2o$150bobo$150bo17$b2o$obo$2bo!
Minor apologies for the arbitrary continuous synthesis -- it's really ten separate stages.
EDIT: Ooh, the
next soup builds the still life in stages, starting from the eater:
Code: Select all
x = 26, y = 18, rule = B3/S23
14bo$13bobo$12bo3bo$12bo3bo$12bo3bo$13bobo$14bo2$11b2o11bo$11b2o4b3o3b
obo$17b3o3bobo$bo14bo3bo3bo$b2o14b3o$obo14b3o2$21bo$21bo$21bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 27th, 2017, 11:54 pm
by BlinkerSpawn
From 13G w/ that second reaction:
Code: Select all
x = 48, y = 60, rule = B3/S23
45bo$45bobo$45b2o13$14bobo$15b2o9bo$15bo10bobo$26b2o3$12bo$13b2o$12b2o
5bo$17bobo13bo$18b2o11b2o$32b2o4$35b2o$34b2o$9b2o25bo$10b2o$9bo$bo17b
2o$b2o17b2o$obo16bo10b2o$30bobo$30bo$26b3o$28bo$27bo15$6b2o$5bobo$7bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 28th, 2017, 7:49 am
by Goldtiger997
BlinkerSpawn wrote:Tough reaction for 16.829:
Code: Select all
x = 23, y = 10, rule = B3/S23
13b3o$13b3o2$7b2ob3o$b2o4b2o$o2bo$b2ob2o$b2ob2o14b2o$3bo16bobo$20bo!
16.829 in 9 gliders:
Code: Select all
x = 37, y = 31, rule = B3/S23
8$26bo$24b2o$25b2o2$4bo$4bobo$4b2o15bo$2bo17bo$obo12bo4b3o$b2o4bobo5bo
bo$7b2o6b2o$8bo$28b2o$27b2o$10b2o17bo$9bobo$11bo2$32bo$31b2o$31bobo!
I spent far too long on that synthesis.
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 28th, 2017, 8:26 am
by yootaa
chris_c wrote:...
Thanks. That synthesis didn't make it into the database because there was a trivial error in the construction of the blinker. It brings 16.1073 down to 17G but doesn't appear to improve 16.1791.
...
Oh, sorry...
16.1702 in 11G or less:
Code: Select all
x = 39, y = 27, rule = B3/S23
36bo$36bobo$36b2o5$12bo$13bo$11b3o$bo$2bo$3o$25b2o$17b2o6b2o$8b3o5bo2b
o$10bo6b2o$9bo4$3b3o$5bo$4bo12b2o$16bobo13b2o$18bo12b2o$33bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 28th, 2017, 8:39 am
by Goldtiger997
yootaa wrote:16.1702 in 11G or less:
Code: Select all
x = 39, y = 27, rule = B3/S23
36bo$36bobo$36b2o5$12bo$13bo$11b3o$bo$2bo$3o$25b2o$17b2o6b2o$8b3o5bo2b
o$10bo6b2o$9bo4$3b3o$5bo$4bo12b2o$16bobo13b2o$18bo12b2o$33bo!
16.1702 in 8 gliders:
Code: Select all
x = 46, y = 32, rule = B3/S23
43bo$43bobo$43b2o3$o$b2o$2o2$23bo$24b2o$23b2o3$18bo$19bo2b2o$17b3obobo
$23bo9$3b2o$4b2o$3bo13bo$17b2o23b2o$16bobo23bobo$42bo!
(EDIT: I replaced a 9-glider synthesis with the above synthesis)
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 28th, 2017, 11:41 am
by chris_c
dvgrn wrote:Ooh, the
next soup builds the still life in stages, starting from the eater
I did a 4G search for the necessary spark giving 16.2309 in 6G:
Code: Select all
x = 29, y = 31, rule = B3/S23
5$13bo$14bo$12b3o$4bo16bobo$5bo15b2o$3b3o16bo5$16bo$17bo$15b3o3$16b2o$
17b2o$16bo$5bo$5b2o$4bobo!
Quite often the reaction works as a simple 4G component:
Code: Select all
x = 18, y = 18, rule = B3/S23
bo$2bo$3o$14b2obo$14bob2o3$13bo$14bo$12b3o3$13b2o$14b2o$13bo$2bo$2b2o$
bobo!
I also found this alternative version with more clearance at the bottom in 6G:
Code: Select all
x = 22, y = 26, rule = B3/S23
12b2obo$12bob2o2$6bo$obo4bo$b2o2b3o$bo4$9b2o$10b2obobo$9bo3b2o$14bo2$
19b3o$19bo$20bo6$b2o$obo$2bo!
SLs taking 19G and above:
Code: Select all
16.1740 xs16_69acga6zx32 23
16.1846 xs16_25a8c93zw33 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
16.2096 xs16_wck5b8oz311 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
16.1127 xs16_giligoz104a4 20
16.1739 xs16_g88r2qkz121 20
16.1791 xs16_03lkaa4z3201 20
16.1962 xs16_4a9eg8ozw65 20
16.2058 xs16_69akg4czx146 20
16.18 xs16_caarzbd 19
16.131 xs16_660uhar 19
16.230 xs16_178jd2ko 19
16.801 xs16_08eharz321 19
16.1684 xs16_4aab9k8zx32 19
16.1694 xs16_4a5p6o8zx121 19
16.1912 xs16_at16426z32 19
16.1979 xs16_4ap30ga6zw121 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
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 28th, 2017, 12:03 pm
by dvgrn
chris_c wrote:I did a 4G search for the necessary spark giving 16.2309 in 6G...
Nice! I was hoping there'd be something like that -- the spark looked like it would be small enough to show up in a 3G or 4G search.
Your 4G search was just a quick one-off with gencols, with gliders coming from those two directions? How did you set up the filter to find the spark, exactly?
-- I'm interested in the way these kinds of searches are currently done, because of my ongoing plot to come up with an actual
total count for three-glider collisions, along with the various lists of useful constellations that might come out of an exhaustive enumeration. Haven't figured out how to usefully catalogue this kind of edgy spark yet...!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 28th, 2017, 12:27 pm
by chris_c
dvgrn wrote:chris_c wrote:I did a 4G search for the necessary spark giving 16.2309 in 6G...
Nice! I was hoping there'd be something like that -- the spark looked like it would be small enough to show up in a 3G or 4G search.
Your 4G search was just a quick one-off with gencols, with gliders coming from those two directions? How did you set up the filter to find the spark, exactly?
-- I'm interested in the way these kinds of searches are currently done, because of my ongoing plot to come up with an actual
total count for three-glider collisions, along with the various lists of useful constellations that might come out of an exhaustive enumeration. Haven't figured out how to usefully catalogue this kind of edgy spark yet...!
The spark eventually settles into a beehive, therefore the first task was a 4G search for beehives using some old LifeAPI code. This took the longest time. I intended to post-process this with Golly but it was taking too long. Instead I wrote a LifeAPI program to analyse a series of reactions and output the RLE of the generation that is N generations before the final pattern appears. N was equal to 12 in my case. I post-processed this file in Golly looking for the desired spark. That was still quite slow.
I could post the actual code before too long if there is any interest. It would need a little tidying up first though.
EDIT: I should mention that a possible stepping-stone along the way to the 3G-collision enumeration project would be a more modern version of gencols that is both faster and has better options for detecting particular sparks or final constellations. It won't be top of my to-do list for a while though.
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 28th, 2017, 3:15 pm
by BobShemyakin
chris_c wrote:...
I did a 4G search for the necessary spark giving 16.2309 in 6G:
Code: Select all
x = 29, y = 31, rule = B3/S23
5$13bo$14bo$12b3o$4bo16bobo$5bo15b2o$3b3o16bo5$16bo$17bo$15b3o3$16b2o$
17b2o$16bo$5bo$5b2o$4bobo!
Quite often the reaction works as a simple 4G component:
Code: Select all
x = 18, y = 18, rule = B3/S23
bo$2bo$3o$14b2obo$14bob2o3$13bo$14bo$12b3o3$13b2o$14b2o$13bo$2bo$2b2o$
bobo!
...
16.2801 in 8G with this reaction:
Code: Select all
x = 69, y = 20, rule = B3/S23
36bobo$37b2o$37bo$48bo$49b2o$5bo42b2o$6bo$4b3o54b2o$47b3o11bo$9bo39bo
13bo$9bobo36bo13b2o$9b2o50bo$27b2o23b2o8b2o3b2o$24bobobo20bobobo10bobo
bo$24b2o23b2o13b2o$35b3o$3o34bo$2bo8b2o23bo$bo9bobo$11bo!
Bob Shemyakin
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 28th, 2017, 6:15 pm
by Extrementhusiast
16.723 and 16.833 in at most eleven gliders each:
Code: Select all
x = 84, y = 28, rule = B3/S23
2o$2o$9bo63bo$7b2o56bo5b2o$8b2o56bo5b2o$60bo3b3o$18b2o41bo$bo15bo2bo
38b3o$obo15b2o2b2o$obo19bobo$bo20bo2$51b3o2$6bo$6bo$6bo49b3o4b2o$63bob
o$63bo3$60b3o$62bo$61bo2b3o$64bo16b3o$27b3o35bo15bo$27bo54bo$28bo!
The first soup for the latter even suggests a component:
Code: Select all
x = 19, y = 17, rule = B3/S23
2b2o$bobo$bo12bo$2o11bobo$2b2o8bo2bo$2bobo8b2o$3bo3$15b3o$18bo$18bo$
15b3o2$12b3o2$12bo!
Also, I think it's probably about time to reveal the whole list of 16-bit SLs.
EDIT: 16.18 in nine gliders:
Code: Select all
x = 47, y = 49, rule = B3/S23
o$b2o$2o13$22bo$20b2o$16bobo2b2o$17b2o$17bo3$25bo$20bo4bo$18bobo4bo$
19b2o4$15b2o$14bobo$16bo4$28b2o$27b2o$29bo9$45b2o$44b2o$46bo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 28th, 2017, 8:21 pm
by Goldtiger997
Extrementhusiast wrote:16.723 and 16.833 in at most eleven gliders each:
16.723 in 10 gliders (may be further reducible by using 2 constellations):
Code: Select all
x = 116, y = 38, rule = B3/S23
bo$2bo$3o8$49b2o28b2o30b2o$49b2o28b2o30bobo$39bo48bo24bo$39bobo44b2o
25b2o$39b2o46b2o22b2o2bo$37bo72bo2bobo$17bo17bobo29b2o28b2o11b2o2bo$
15bobo18b2o12bo15bo2bo10bo15bo2bo$16b2o2bo28bobo15b2o10bobo15b2o2b2o$
20bobo26bobo27bobo19bobo$20b2o28bo29bo20bo2$18bo$19b2o$18b2o35bo29bo$
55bo29bo$55bo29bo8$3b3o$5bo100b3o$4bo101bo$107bo!
16.833 in 11 gliders (could not find a 3G synthesis of the blinker constellation):
Code: Select all
x = 34, y = 25, rule = B3/S23
23bo$15bo5b2o$16bo5b2o$10bo3b3o$obo8bo$b2o6b3o$bo3$2o$b2o$o2$5bo$6b2o
5b2o$5b2o6bobo$13bo2$6bo$6b2o2b3o$5bobo4bo$11bo2b3o$14bo16b3o$15bo15bo
$32bo!
Extrementhusiast wrote:
The first soup for the latter even suggests a component:
Code: Select all
x = 19, y = 17, rule = B3/S23
2b2o$bobo$bo12bo$2o11bobo$2b2o8bo2bo$2bobo8b2o$3bo3$15b3o$18bo$18bo$
15b3o2$12b3o2$12bo!
It reduces to this:
Code: Select all
x = 33, y = 27, rule = B3/S23
2b2o18b2o$bobo2b2o13bobo2b2o$bo3b2o14bo4bo3bo$2o18b2o4bo3bobo$2b2o3bob
o12b2o6b2o$2bobo2b2o13bobo2b2o$3bo3b2o14bo3b2o14$2b2o18b2o$bobo2b2o13b
obo2b2o$bo3b2o14bo3b2o$2o18b2o$2b2o3bo14b2o3bobo$2bobo2b2o13bobo2b3o$
3bo3b3o13bo3b2o!
EDIT:
Extrementhusiast wrote:EDIT: 16.18 in nine gliders:
Code: Select all
x = 47, y = 49, rule = B3/S23
o$b2o$2o13$22bo$20b2o$16bobo2b2o$17b2o$17bo3$25bo$20bo4bo$18bobo4bo$
19b2o4$15b2o$14bobo$16bo4$28b2o$27b2o$29bo9$45b2o$44b2o$46bo!
Reduced to 8 gliders:
Code: Select all
x = 47, y = 49, rule = B3/S23
o$b2o$2o13$22bo$20b2o$16bobo2b2o$17b2o12bo$17bo11b2o$30b2o3$20bo$18bob
o$19b2o6b2o$27bobo$27bo8$28b2o$27b2o$29bo9$45b2o$44b2o$46bo!
EDIT2:
16.1740 in 9 gliders:
Code: Select all
x = 38, y = 51, rule = B3/S23
13bo$11bobo$12b2o5$18bo$16bobo$17b2o2$28bo$26bobo$27b2o2$23bo5bo$13b2o
6bobo5bobo$12bobo7b2o5b2o$14bo6$17b2o$16bobo$18bo16b3o$35bo$36bo20$2o$
b2o$o!
Can anyone make a converter out of this?:
Code: Select all
x = 12, y = 17, rule = B3/S23
8b2o$10b2o$5bob2o$3bobobo$4b2obobo$8bobo$9bo2$2bo$obo$b2o$4bo$3bobob2o
$3bobobo$4b2obobo$8bobo$9bo!
EDIT3:
Here's a synthesis of 16.1846 that is probably cheaper than whatever the above possible converter might give.
16.1846 in 11 gliders:
Code: Select all
x = 24, y = 24, rule = B3/S23
23bo$8bo12b2o$6bobo13b2o$7b2o2$19bobo$8bo10b2o$6bobo11bo$7b2o2bo$10bo$
10b3o4bobo$17b2o$11bo6bo$10b2o$10bobo$2bo$obo$b2o2$3b3o$5bo3b2o$4bo5b
2o6bo$9bo7b2o$17bobo!
It uses this new converter:
Code: Select all
x = 24, y = 24, rule = B3/S23
23bo$8bo12b2o$6bobo13b2o$7b2o2$19bobo$3b2o14b2o$3bobo14bo$4bobo$5bobo$
6bobo8bobo$7bobo7b2o$8bobo7bo$9bo2$2bo$obo$b2o2$3b3o$5bo3b2o$4bo5b2o6b
o$9bo7b2o$17bobo!
Re: 16 in 16: Efficient 16-bit Synthesis Project
Posted: April 29th, 2017, 1:05 pm
by chris_c
16.218 in 10G gives 16.217 in 15G:
Code: Select all
x = 127, y = 140, rule = B3/S23
44bo$43bo$43b3o9$30bobo$10bo20b2o$11bo19bo$9b3o14bo$27b2o$26b2o$8bo
114bobo$6bobo110b2obob2o$7b2o110bob2o$123b2obo$31b2o90bob2o$30bobo$32b
o4$12b2o4b3o$13b2o5bo$12bo6bo2$19bo$19b2o$18bobo16b2o$37bobo$37bo64$
30bobo$o29b2o$b2o28bo$2o5$bo$2b2o$b2o3$bo$2bo$3o3$23bobo93b2o2bobo$19b
2obob2o93bo2bob2o$19bob2o98b2o$23b2obo96b2obo$23bob2o96bob2o16$2bo$2b
2o$bobo!
Here are all 16-bit SLs costing at least 16G. There are currently 143:
Code: Select all
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
16.2096 xs16_wck5b8oz311 21
16.228 xs16_178bp2sg 20
16.712 xs16_3pc0qmzw23 20
16.872 xs16_2lla8oz065 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
16.131 xs16_660uhar 19
16.230 xs16_178jd2ko 19
16.801 xs16_08eharz321 19
16.1684 xs16_4aab9k8zx32 19
16.1694 xs16_4a5p6o8zx121 19
16.1912 xs16_at16426z32 19
16.1979 xs16_4ap30ga6zw121 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
16.155 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
16.2201 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
16.616 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
16.1064 xs16_39m88cz6221 17
16.1073 xs16_3lkaa4z641 17
16.1097 xs16_ck0ol3z643 17
16.1276 xs16_3iakgozw1ac 17
16.1373 xs16_32q4goz4a43 17
16.1398 xs16_g88c93zc952 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
16.2555 xs16_4a9jzxpia4 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
16.300 xs16_9fg4czbd 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
16.1068 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
16.2018 xs16_25a8c826zw33 16
16.2025 xs16_069q48cz2521 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