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

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
yootaa
Posts: 35
Joined: May 26th, 2016, 1:08 am
Location: Japan

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

16.995 in 8G:

Code: Select all

``````x = 50, y = 35, rule = B3/S23
18bo\$19bo\$17b3o5\$29bo\$27b2o\$28b2o\$19bo\$19b2o\$18bobo\$36bobo\$36b2o\$37bo
4\$b2o\$obo\$2bo\$34b2o\$33b2o\$35bo\$29b2o\$30b2o\$29bo5\$47b3o\$47bo\$48bo!
``````
EDIT:
Jormungant wrote:I found an approach that may work for 16.1787 (aka xs16_069m4koz311); however, I don't know if there is a 3 or 4 glider construction for a transient group that has 7 cells at some point (found on the upper right).

Code: Select all

``````x = 21, y = 23, rule = B3/S23
13bo\$11b2o\$12b2o\$7bo\$7b2o9b3o\$bo4bobo8bo\$2b2o13bo2bo\$b2o14bo2\$10bo\$9b
2o\$9bobo\$5b2o\$4bobo\$6bo4\$b2o\$obo\$2bo11bo\$14b2o\$13bobo!
``````
In 11G:

Code: Select all

``````x = 46, y = 43, rule = B3/S23
31bo\$30bo\$30b3o3\$bo\$2bo\$3o30bobo\$33b2o\$34bo5\$33bobo\$33b2o\$29b2o3bo\$28b
2o\$30bo5\$6b2o\$5bobo\$7bo\$44b2o\$43b2o\$45bo\$28b2o\$28bobo\$28bo\$4b2o\$5b2o\$
4bo4\$2o\$b2o\$o12b2o\$12bobo\$14bo!
``````

Goldtiger997
Posts: 630
Joined: June 21st, 2016, 8:00 am

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

Jormungant wrote:I found an approach that may work for 16.1787...
16.1787 in 10 gliders:

Code: Select all

``````x = 26, y = 30, rule = B3/S23
18bo\$18bobo\$18b2o3\$2bo\$obo\$b2o2\$24bo\$6b3o14b2o\$8bo10bo3bobo\$7bo12b2o\$
19b2o2\$23b3o\$15b3o5bo\$15bo8bo\$5bo10bo\$5b2o\$4bobo4\$bo\$b2o\$obo\$13b3o\$15b
o\$14bo!``````
EDIT: missed yootaa's post, but this is cheaper anyway.

EDIT2:

16.810 in 10 gliders:

Code: Select all

``````x = 37, y = 36, rule = B3/S23
22bobo10bo\$23b2o8b2o\$23bo10b2o3\$24bobo\$24b2o\$14bobo8bo\$14b2o\$15bo\$8bob
o\$8b2o\$9bo5b3o\$15bo\$o3bo11bo\$b2obobo\$2o2b2o\$17b2o\$17bobo\$17bo14\$35b2o\$
34b2o\$36bo!``````

Jormungant
Posts: 251
Joined: May 27th, 2016, 1:01 am

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

16.1929 (aka xs16_0g5r8b5z121) in 10 gliders.

Code: Select all

``````x = 62, y = 58, rule = B3/S23
o\$b2o\$2o\$54bo\$54bobo\$54b2o\$21bobo\$22b2o\$22bo26bo\$48bo\$48b3o11\$28bo\$27b
o\$27b3o\$24bo\$25bo\$23b3o5\$31bobo\$32b2o\$32bo2\$33b2o\$33bobo\$33bo2\$28b2o\$
29b2o\$28bo14\$60b2o\$59b2o\$61bo!
``````
16.1717 (aka xs16_4aajk46zx121) in 11 gliders.

Code: Select all

``````x = 47, y = 30, rule = B3/S23
25bo\$23b2o\$24b2o4\$29bo\$28bo\$28b3o4\$23b2o\$23bobo\$13bo9bo\$11bobo\$12b2o\$
25b3o\$25bo\$26bo\$13b2o\$14b2o\$13bo4b2o24b3o\$2o15bobo24bo\$b2o16bo25bo\$o
21b2o\$23b2o\$22bo7b2o\$30bobo\$30bo!
``````

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

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

So just 16.836 to go, is that correct? It can be done by making a 1G optimisation to the existing 16G synthesis. There is a B and a loaf that is made in 5G. Instead it can be made in 4G by colliding a block with a 2G loaf+blinker. Frustratingly my phone line is down so I can't post the exact details or make a push to my github repo...

Goldtiger997
Posts: 630
Joined: June 21st, 2016, 8:00 am

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

chris_c wrote:So just 16.836 to go... Frustratingly my phone line is down so I can't post the exact details or make a push to my github repo...
Bad lack about the phone line. I tried 32 soups, and the best I found is only slightly better.

16.836 in 13 gliders:

Code: Select all

``````x = 89, y = 66, rule = B3/S23
74bo\$74bobo\$74b2o6\$7bo\$5bobo\$6b2o11\$26bo\$24bobo\$25b2o5\$35bo\$36bo\$34b3o
3\$44bo\$42b2o\$43b2o2\$40bo\$31b3o5bo\$33bo5b3o\$32bo\$47b2o\$46bobo\$48bo\$50b
2o\$50bobo\$36b2o12bo\$35b2o\$37bo6\$48b3o\$48bo\$49bo2\$2o\$b2o\$o3\$86b2o\$86bob
o\$86bo!``````
Now all 16-bit still-lifes can be synthesised in less than 16 gliders!!!

Thanks to chris_c, BlinkerSpawn, AbptzTa, Extrementhusiast, Sokwe, BobShemyakin, yootaa, Jormagant, dvgrn, and Bullet51 for your contributions (sorry if I missed anyone)!

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

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

Goldtiger997 wrote: 16.836 in 13 gliders
Yes, last one down! I'm back online and pushed what will the last commit for a while. All 16-bit still lifes are synthesisable in at most 15G with an average of at most 10.47G!

Thanks to everyone!

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

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

Great work! Thanks to everyone!

Bob Shemyakin

Gamedziner
Posts: 795
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

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

Congratulations!

Code: Select all

``````x = 81, y = 96, rule = LifeHistory
58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.
A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A
\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!
``````

dvgrn
Moderator
Posts: 7371
Joined: May 17th, 2009, 11:00 pm
Contact:

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

Something I thought of recently: sometime prior to tackling the Still Lifes With A Prime Number of Bits That Must Not Be Named, wouldn’t it make sense to put together a helper utility script for finding likely 3G/4G/5G spark-making reactions?

That script of chris_c's for finding sparkish stuff by population has been very handy, but on multiple runs it ends up painfully re-generating the same population sequences. Why not just write out text files recording the population sequences for each pattern in each gencols output file, and then do a simple text search for the particular sequence that’s wanted?

Seems as if that wouldn’t take much more storage space than the original gencols output, and searches would be thousands of times faster. One byte per population value would be good enough -- no need to record population counts for the big messes that end up over 200 cells or so...?

Maybe it’s worth checking in to Github collision files that are as non-redundant as possible, and also as complete as possible, so that nothing else along the lines of the three-glider switch engine gets missed.

I don’t think it will be that hard to avoid redundancy altogether, with some careful work. Ultimately I’d like to combine this idea with the Enumerating Three-Glider Collisions project, so that for 3G collisions there are maybe 72 collision files checked in -- one for each of the 71 glider collisions with a third glider hitting the reaction at T>=1, and one for all the simultaneous 3G collisions.

AbhpzTa
Posts: 507
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

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

GitHub's list is not included this edit.
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

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

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

AbhpzTa wrote:GitHub's list is not included this edit.
OK, done. I also found this minor improvement to 16.712:

Code: Select all

``````x = 41, y = 38, rule = B3/S23
34bo\$34bobo\$34b2o5\$9bo\$8bo\$8b3o3\$7b3o\$7bo\$8bo\$22bo\$22bo\$22bo5\$35b3o\$
35bo\$bo34bo\$b2o\$obo3\$8b2o4b2o\$9b2o4b2o21b2o\$8bo5bo23bobo\$38bo\$11b2o\$
10bobo\$12bo20b3o\$33bo\$34bo!
``````

wwei23
Posts: 1843
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

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

Where's the 17 in 17 synthesis project?
@Hunting so we're making a referential signature chain?

Posts: 1977
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

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

wwei23 wrote:Where's the 17 in 17 synthesis project?
As was said in another post somewhere, the current focus is getting a more functional, lower-maintenance system in place for depositing, archiving, and locating syntheses.
Once that's done, 17-bit syntheses will be easy to work with.
Using the infrastructure currently in place, though, it's a pretty tall order.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

gmc_nxtman
Posts: 1150
Joined: May 26th, 2015, 7:20 pm

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

Cross-posting from the construction practice thread, because I'm pretty sure this is an improvement (16.785):

Code: Select all

``````x = 46, y = 51, rule = B3/S23
4bo\$5b2o\$4b2o5\$26bo\$11bo12bobo\$9bobo13b2o\$10b2o\$43bo\$43bobo\$38bo4b2o\$
38bobo\$38b2o2\$36bo\$37bo\$35b3o23\$b2o\$2b2o\$bo2\$43bo\$42b2o\$4b2o36bobo\$3bo
bo\$5bo!
``````

Goldtiger997
Posts: 630
Joined: June 21st, 2016, 8:00 am

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

AbhpzTa wrote:16.1391 in 7 gliders:

Code: Select all

``````x = 23, y = 23, rule = B3/S23
9bo\$9bobo\$9b2o2\$5bobo\$6b2o\$6bo2\$21bo\$20bo\$8bobo9b3o\$9b2o5b3o\$9bo6bo\$
17bo\$9b2o\$8b2o\$10bo4\$bo\$b2o\$obo!``````
I was trawling through the last pages of this thread, when I found a small reduction to the above synthesis.

16.1391 in 6 gliders:

Code: Select all

``````x = 31, y = 23, rule = B3/S23
29bo\$28bo\$28b3o3\$13bobo\$14b2o\$7b3o4bo\$9bo6bo\$8bo7b2o\$15bobo\$24b3o\$24bo
\$25bo7\$bo\$b2o\$obo!``````
chris_c wrote: A preliminary step in this project was creating a translation between Niemiec's still life numbering and apgcodes. The fact that a similar list does not exist for oscillators is the only reason that I didn't reply to Goldtiger's query here.
After seeing Apple Bottom's great work in the wiki, with most small patterns having an auto-generated synthesis, but oscillators showing an invalid pattern message, I was reminded of the above quote. Couldn't a simple numbering system for oscillators be created by using apgcodes and ordering them alphabetically?

wwei23
Posts: 1843
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

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

I've been filing away glider+object collisions, does anyone want to see?
Also, if a still life is symmetric along the red, then these two collisions are the same:

Code: Select all

``````x = 35, y = 16, rule = LifeHistory
33.A\$13.A18.A\$12.A19.3A\$12.3A3\$9.D19.D\$8.D19.D\$7.D19.D\$6.D19.D\$5.D19.
D\$4.D19.D\$3.D19.D\$2.D19.D\$.D19.D\$D19.D!
``````
Because the second one in two generations looks like this:

Code: Select all

``````x = 15, y = 15, rule = LifeHistory
12.A\$12.A.A\$12.2A3\$9.D\$8.D\$7.D\$6.D\$5.D\$4.D\$3.D\$2.D\$.D\$D!
``````
Which reflected along the red looks like this:

Code: Select all

``````x = 15, y = 15, rule = LifeHistory
13.A\$12.A\$12.3A3\$9.D\$8.D\$7.D\$6.D\$5.D\$4.D\$3.D\$2.D\$.D\$D!
``````
Which is the same as the first collision.
@Hunting so we're making a referential signature chain?

AbhpzTa
Posts: 507
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

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

16.30 15G->9G

Code: Select all

``````x = 33, y = 34, rule = B3/S23
30bobo\$30b2o\$31bo\$2bo\$obo\$b2o6\$16b2o\$12b2o2bobo\$13b2obo\$12bo2\$2b3o\$4bo
\$3bo4\$10b3o\$12bo16b2o\$11bo17bobo\$29bo3\$22bo\$21b2o\$21bobo\$9b2o\$10b2o\$9b
o!``````
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

Rhombic
Posts: 1072
Joined: June 1st, 2013, 5:41 pm

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

Is there a known component for this?

Code: Select all

``````x = 20, y = 16, rule = Life
18b2o\$7bo11bo\$5bo2bo7b3o\$7b4o5bo\$5bobo3bo2\$4bo2bo\$3bobobo2bo2\$3bo5bo\$
4bo3bo\$5b3o2\$bo\$obo\$bo!
``````
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

AbhpzTa
Posts: 507
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

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

16.57 15G->13G

Code: Select all

``````x = 79, y = 73, rule = B3/S23
76bo\$76bobo\$76b2o5\$73bo\$73bobo\$73b2o2\$77bo\$76bo\$76b3o\$43bo\$41b2o\$42b2o
4\$31bobo\$32b2o\$32bo4\$30bo\$31bo\$29b3o4\$46bo\$45bo\$45b3o13\$41b2o\$40b2o\$
42bo\$60b2o\$59b2o\$61bo4\$20b2o\$19bobo\$21bo7\$3o\$2bo\$bo56bo\$57b2o\$57bobo\$
73b2o\$73bobo\$73bo!``````
16.68 15G->10G

Code: Select all

``````x = 126, y = 39, rule = B3/S23
24bo\$25bo\$23b3o4\$74b2o\$73bo2bo\$5bo20b2o45bo2bo\$3bobo13bobo3b2o28b2o17b
2o\$4b2o14b2o5bo27b2o3bo10bo44b2o\$b2o17bo39b2o8bobo42bo2bob2o2b2o\$obo
56bobo9b2o42b2o2b2obo2bo\$2bo17b3o40b3o57b2o\$20bo42bo\$21bo42bo5\$33b3o\$
35bo\$34bo14\$121bo\$120b2o\$120bobo!``````
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

Extrementhusiast
Posts: 1858
Joined: June 16th, 2009, 11:24 pm
Location: USA

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

Rhombic wrote:Is there a known component for this?

Code: Select all

``````x = 20, y = 16, rule = Life
18b2o\$7bo11bo\$5bo2bo7b3o\$7b4o5bo\$5bobo3bo2\$4bo2bo\$3bobobo2bo2\$3bo5bo\$
4bo3bo\$5b3o2\$bo\$obo\$bo!
``````
Not that functions like that, as far as I know. Do you have the source soup for this?
I Like My Heisenburps! (and others)

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

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

chris_c wrote:
Goldtiger997 wrote: 16.836 in 13 gliders
Yes, last one down! I'm back online and pushed what will the last commit for a while. All 16-bit still lifes are synthesisable in at most 15G with an average of at most 10.47G!

Thanks to everyone!

Chris led the list with full list of synthesis of 16-bit still lifes.
Based on the results of this thread with the latest achievements of the glider I synthesis (semi-automatic way) made its database for synthesis of 16-bit still lifes:
16bit-1.rar
16-bit SL part 1
16bit-2.RAR
16-bit SL part 2
But it turned out to be incomplete. List of 108 still lifes, what I not found from the list Chris:

Code: Select all

``````16.141  xs16_1no3qic       6
16.148  xs16_32qbap3      15
16.169  xs16_259aria4     10
16.170  xs16_259araa4     15
16.176  xs16_259ar9a4     14
16.182  xs16_2ego2tic     11
16.185  xs16_32qk5b8o     12
16.221  xs16_2eg8objo     11
16.223  xs16_178jd4ko     15
16.226  xs16_178jt066      9
16.236  xs16_178jd453     15
16.259  xs16_0drz25aa6    14
16.266  xs16_4ap56z69c    15
16.273  xs16_642138n96    12
16.350  xs16_312461tic    12
16.369  xs16_c9b8ozdb     13
16.380  xs16_4a40vh248c   12
16.405  xs16_0c9jzcic32   12
16.442  xs16_0cai3z4aip   11
16.474  xs16_1784cgc45 3  11
16.591  xs16_1784cggc4go  11
16.622  xs16_cidharzw1    11
16.633  xs16_4s0v1e8zw11   8
16.635  xs16_ca1v0kczx11   9
16.640  xs16_c9bkkozw32    8
16.655  xs16_gbhe0mqz01   14
16.656  xs16_8o6p96z1221   9
16.664  xs16_699m4iczx11  15
16.674  xs16_gbap56z121   10
16.695  xs16_5b8bl8zx32   14
16.707  xs16_g39s0qmz11   14
16.743  xs16_39s0qmz32     9
16.744  xs16_39c826z3213  14
16.772  xs16_3h4e1daz011  13
16.783  xs16_gbhe0dbz01   14
16.801  xs16_08eharz321    8
16.802  xs16_g8eharz121   12
16.803  xs16_c9bk46z311   15
16.825  xs16_4alhe8zw65   15
16.838  xs16_ci9b8ozw56   15
16.840  xs16_c8idiczw56   15
16.842  xs16_cila8oz065   10
16.843  xs16_4a9liczx56   13
16.845  xs16_ghn84cz1246  15
16.856  xs16_kc32acz1252  10
16.877  xs16_2lm88cz1243  13
16.897  xs16_69bkk8zx56   14
16.913  xs16_2lm88cz3421  13
16.927  xs16_4akgf9zw65   15
16.946  xs16_ciarzw6226    8
16.953  xs16_0cil56z6221  12
16.956  xs16_0j9cz343146  11
16.985  xs16_31km93zw56   14
16.990  xs16_0j9cz643146  14
16.996  xs16_2lm853z056   15
16.998  xs16_0c9jz253056  11
16.1041 xs16_g0t3oge2z11   8
16.1073 xs16_3lkaa4z641   13
16.1086 xs16_8kkb96z641   13
16.1087 xs16_8kihe853zx1  15
16.1094 xs16_cila8oz641   15
16.1097 xs16_ck0ol3z643   11
16.1142 xs16_0gilicz34a4  14
16.1211 xs16_kq23z1248a6  15
16.1247 xs16_0o5b8ozbd    13
16.1273 xs16_32q4goz0db   13
16.1276 xs16_3iakgozw1ac  14
16.1301 xs16_069ak8zc871  13
16.1381 xs16_32q4gozc93   13
16.1698 xs16_4ai3s4ozx121 12
16.1710 xs16_4a9bk46zx32  11
16.1715 xs16_64p784czw23  15
16.1720 xs16_4a4o79ozx121 11
16.1753 xs16_695q4gozw23  12
16.1767 xs16_kc32ak8z123  15
16.1785 xs16_2eg88bdzx23  13
16.1791 xs16_03lkaa4z3201 13
16.1856 xs16_39u06a4z32   10
16.1864 xs16_31ke1e8z032  15
16.1867 xs16_069q453z311  13
16.1877 xs16_69p6413z32   15
16.1905 xs16_8u16853z32   13
16.1911 xs16_69q3213z32   11
16.1913 xs16_bdz3113213   13
16.1951 xs16_dbz3113213   13
16.1963 xs16_4a512kozx643 11
16.1994 xs16_0g9fgka4z121 10
16.1995 xs16_cik8a52z065  14
16.1998 xs16_0g6p64koz121 13
16.2005 xs16_cip6gzx3452  10
16.2014 xs16_25a8kk8z0253 15
16.2018 xs16_25a8c826zw33 12
16.2092 xs16_ciljgzx1074  15
16.2128 xs16_0g8jt066z23  11
16.2188 xs16_wmp2sgz643   10
16.2190 xs16_032q4goz6413 14
16.2204 xs16_0gilla4z641  15
16.2215 xs16_04s0cp3z6221 12
16.2219 xs16_0oe12koz643  14
16.2316 xs16_0at16413z32  15
16.2322 xs16_raak8zx1252  13
16.2347 xs16_g8861acz0db   9
16.2356 xs16_25icggozx1ac 14
16.2408 xs16_g842156z178c 11
16.2480 xs16_3iaczw1139c  13
16.2555 xs16_4a9jzxpia4   13
16.2630 xs16_31e8gzxo9a6  13
16.2751 xs16_w8p78k8z2521 15  ``````
And their patterns:

Code: Select all

``````x = 152, y = 166, rule = B3/S23
30bo13bo13bo14bo13b2o12bo13b2o10b2o\$2b2o10b2o13bobo11bobo11bobo11b3o
13bo11b3o12bobo10b2o\$bo2bo10bo13bo2bo10bobo10bo2bo10bo13b2obo10bo15bo\$
bob2o10bob2o9b2ob2o9b2ob2o9b2ob2o9b2o12bobo12bo12bob2o10bob3o\$2o12b2ob
o11bobo11bobo11bobo13bo12bobo9b2o12b2o2bo9b2o2bo\$3b2o10bobo10bo2bo10bo
2bo10bo2bo10b3obo10bob2o10bob2o12bo13bo\$3obo9bo2b2o9bobo11bobo11bobo
11bo2bo11bo12bo2b2o9b3o11b3o\$o13b2o13bo13bo13bo13b2o11b2o12b2o12bo13bo
7\$87bo13b2o11b2o11bo\$17b2o12b2o11b2o13b2o11b2o12bobo13bo11bobo10b3o\$bo
15bo12bo2bo11bo12bo2bo11bo13bo12bo16bo12bo\$b3o14bo10bo2b2o10bo12bob3o
9bo28b2o13b2o12bo\$4bo12b2o11b2o11bo13bo13b5o9b5o12bo11bo14b2o\$b2o2bo
11bo13bo11b2o13b2o15bo9bo3bo12bo11bo16bo\$bob2o13bo11bo15bo12bo11b2o15b
o11bob2o11b2o12b2o\$3bo11b3obo9bo13b3obo10bo13bo14bo11bobo14bo12bo\$bobo
11bo2bo10bobo11bo2bo10bo13bo14bo12bobo11b3o11bobo\$b2o13b2o12b2o12b2o
11b2o12b2o13b2o12bo12bo13b2o8\$4bo\$2b3o\$bo\$2bo\$b2o28bo14b2o13b2o12bob2o
13b2o12b2o15bo13b2o\$o16bo13b3o12bobo12bo13b2obo12bo2bo10bo2bo13bobo12b
o\$o13bobobo15bo14bo12b3o26bobo12bo2bo11bo2bo13bo\$b2o11b2obobo9b6o9b6o
9b3o2bo10b3o12b2ob2o10b2ob2o11b3o11b3obo\$2bo14bobo9bo14bo14bo2b2o10bo
3bo10bo2bo11bo2bo11b2o13bo3bo\$o13b2o2bo11b3o12bobo13bo12b2obobo9bo2bo
11bo2bo11bo2b2o11bobo\$2o12bob2o14bo13b2o12b2o16bo11b2o13b2o13b2obo10b
2ob2o9\$122b2o13b2o\$bob2o10b2o13b2o14bobo15bo14b2o13bo11b2o14bo15bo\$b2o
bo10bo14bo3b2o9bob2o11b2obobo12bobo12bobo11bo2bo12bo13bo\$17bob2o11bo2b
o9bo14bo3bo10bobo12bobo2bo9bo2b3o11b2o12bo3bo\$b3o12b2obo11b3o12b3o12b
3o11b2ob2o10b2ob2o10b3o13bo2b2o9bob4o\$2bo2bo11bo2bo26bo2bo27bo14bo14bo
11bobobo10bo\$o3b2o9bo3b2o9bob2o11bo3b2o9bob2o11b2obo11b2obo11b3o13bo2b
o11bobo\$2o13b2o13b2obo11b2o13b2obo11bobo12bobo12bo16b2o13b2o9\$2b2o12b
2o13b2o13b2o14bo14bo15b2o11bo15b2o13bo\$2bo13bo14bo15bo14b3o11bobo15bo
10bobo15bo13b3o\$3bo13bo14bo14bob2o9b2o3bo9bo2bo14bo12b2o2bo11bo17bo\$bo
bo12b2o2bo10b2o15bobo10bo2b2o10b2o15b2o13b3o11b2o13b2obo\$obob2o9bo2b3o
9bo2b2o10b3o12bo17b3o10b2o2bo10b2o12b2o2bo12bobo\$obo2bo9bobo12bobo2bo
9bo14bobo13b2o2bo9bo2b2o10bo2bo12bobobo\$bobo12bobo12bo2bo11bobo12bobo
11bobo12bobo12bobo13bo2bo10b4o\$2bo14bo14b2o13b2o13bo13bo14b2o13bo13b2o
13bo2bo8\$3b2o13b2o12b2o12b2o15b2o12b2o15bo10b2o16b2o13bo\$2bo2bo13bo12b
o13bo16bo13bo14b3o10bo17bobo11bobo\$bob3o11bo15bo14bo15bo14bo11bo15bo
13b2o2bo10bo2bo\$bo15b2o13b2o13b2o14b2o13b2o11b2o13b2o12bo2b2o10bo3b2o\$
2b2o15bo11bo14bo15bo14bo16b2o12b2o11b2o13b3o\$3bo13b2obo11b2o13b2o12bob
2o11bob2o11b3obo10b2o2bo11bo15bo\$3o12bo2bobo9bobo2bo9bobo2bo9bo2bobo9b
o2bobo9bo14bo2b2o10bo14bobo\$o14b2o2bo10b2o2b2o9b2o2b2o9b2o2bo10b2o2bo
10b2o13b2o13b2o13b2o7\$33bo13bo14b2o12b2o15b2o12bo12bo\$2bo16b2o11bobo
12b3o13bo12bo17bo11bobo11b3o\$bobo16bo12bobo14bo11bo14bo15bo12bo2bo13bo
14bo\$obo12b2o2bo15bo13bo11bob3o10b2o14bo14b2obo11bo2bo12b3o\$o2b3o9bo2b
o12b4o14b2o10bo3bo11bob2o10bob3o13bo12bob2o10b2o3bo\$b2o2bo10bob2o10bo
19bo9b2o15bo2bo11bo2bo11b2o12b2o12bobo2bo\$2bo14bo12bobo12b2o2bo10bo17b
o14bo13bo14bo12bobobo\$o14bobo13bobo11bo2bo12bo13b3o12b3o12bobo12bo15bo
bo\$2o13b2o15bo13b2o12b2o13bo14bo14b2o13b2o15bo9\$3b2o14b2o14bo16b2o13bo
14bo18bo11b2o17bo17b2o\$4bo15bo13bobo16bo13b3o12b3o15bobo10bo16b3o13b2o
2bo\$3bo15bo15bo15bo13b2o3bo14bo14bobo12bo13bo15bo2bobo\$4b3o12bobobo12b
3o11bob4o10bo2bobo12bo2bo10b2obo12b2o2bo11b3o13bob2o\$b3o3bo9b2obob2o9b
3o3bo9bobo3bo9bo4bo13bob2o11bobobo11bobobo11bobobo11bo\$bo2bobo10bo2bo
12bo2bobo10bo2bo12bobo13b2obo12bo4b2o9bobob2o10bo4b2o9bobo\$4b2o13b2o
15b2o12b2o14b2o13bob2o12b2o14b2o14b2o14b2o8\$83b2o15bo15b2o12b2o16bo\$b
2o2b2o11bo2b2o10b2o2b2o9bo2b2obo9b2o17bobo13bobo15bo12bobo14bobo\$o2bo
2bo10bobo2bo9bo2bo2bo9b4ob2o10bo19bo12bobo15bo15bo14bo2bo\$o2b2o12bobob
o11bob2o27bo20b2o11bo17b2o14b2o14bobo\$b2o13b2o2bo11b2o14b2o14b2o15bo4b
o12b4o11b2o2bo11b2o2bo11bob2o\$2bo14bo15bo15bo30bobo2bo11bobo2bo10bo2bo
bo10bo2b2o11bobo\$o15bo15bo15bo15b4ob2o10bo2bo11bobo13bobo2bo10bobo13bo
2bo\$2o14b2o14b2o14b2o14bo2b2obo11b2o13bo15bo15bo15b2o9\$2bo14b2o16b2o
15b2o13bo13bo17b2o17bo12bo17b2o\$bobo13bo17bobo14b2o12bobo12b3o14bo2bo
14b3o11bobo12bobo2bo\$2b2o15bo16bobo27bo2bo14bo14b2obo12bo14bo2bo10bob
3o\$4b2o12b2o18bo11b3obo12bobo13bo2bo14bo11bo2bo12b2o3bo9bo\$2b2o2bo12bo
b2o11b4o12bo2b2o11b2ob2o12bob2o10b4o12b2obo12bo3b2o10b2o\$bo2b2o11bobob
2o10bobo15bo14bo15b2o14bo15bob2o12bo15bo\$obo13bobo14bo14b3o13bobo13bo
2bo12bo15bo15bobo13bo\$bo15bo14b2o14bo15b2o14b2o14b2o14b2o14b2o14b2o7\$
83b2o14bo\$20b2o14b2o13b2o17bo12bobo13b3o\$5bo15bo15bo13bobo14b3o15bo15b
o13bo\$4bobo13bo15bo16bo13bo16b2o15b2o12bobo\$3bobo14b2o13bo17b2o12b2o
14bo16bo15bo\$o2bo18bo11bob3o15bo14bo13bo16bo16b3o\$3obo11b2o2b2o13bo2bo
14bo11b4o12b2o15b2o14b3o2bo\$3bo12bo2bo13bobo12b2o2bo13bo13bo17bo14bo2b
o\$3o14bobo12bobo13bo2bo12bo16bobo12bobo13bobo\$o17bo14bo15b2o13b2o16b2o
12b2o15bo!
``````
I ask to help me fill my database.

Bob Shemyakin

dvgrn
Moderator
Posts: 7371
Joined: May 17th, 2009, 11:00 pm
Contact:

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

BobShemyakin wrote:But it turned out to be incomplete. List of 108 still lifes, what I not found from the list Chris
...
I ask to help me fill my database.
I think that recipes for these are all available on chris_c's GitHub repository. Here's a package that should display a synthesis for any still life up to 16 bits (where chris_c's online version only goes up to 12 bits):
chris_c_display_synth_to_16_bits.zip
HTML to display glider syntheses up to 16 bits in LifeViewer
The included file bobshemyakinmissinglist.html should have working links to display your 108 missing syntheses. To use it for some other apgcode, open the glidersynth.html page and then append a "?" followed by the apgcode you want.

I checked the first dozen still lifes in your list, and they were all there, and it looked like the glider counts were right. It looks like most of them are conversions from other objects, sometimes in several stages.

... Is this what you're looking for, or no?

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

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

dvgrn wrote:
BobShemyakin wrote:But it turned out to be incomplete. List of 108 still lifes, what I not found from the list Chris
...
I ask to help me fill my database.
... Is this what you're looking for, or no?
Of course, thank you

EDIT:
I checked the list. Found a bug only 16,825, however it is easily corrected. step 2 takes too much space and conflicts with 3-step. I reduced the size 2-th step:

Code: Select all

``````x = 158, y = 228, rule = B3/S23
133b2o\$32b2o99b2o\$33b2o\$32bo4bo\$36b2o\$36bobo23\$o\$b2o\$2o61\$74bo\$75bo\$
73b3o3\$46bo\$47b2o\$46b2o8bo17b2o75b2o\$54bobo17bobo73bo2bo\$33b2o20b2o17b
o74bobobo\$33b2o14b2o99bo2b2o\$48bobo100b2o\$50bo4b3o94bo\$57bo2b2o88bo\$
56bo3bobo87b2o\$60bo64\$119bo\$118b2o\$118bobo26\$51b2o\$50bo2bo\$49bobobo\$
50bo2b2o99b2o\$51b2o100bo2bo\$52bo99bobobo\$50bo102bo2b2o\$50b2o102b2o\$
155bo\$154bo\$154b2o9\$62b2o\$36b2o23b2o\$37b2o6b2o16bo\$36bo7bobo\$46bo4\$43b
2o\$44b2o\$43bo!
``````
Now 16-bit database still ilfes the conditions of this thread:
16bit-1.rar
16-bit SL path 1
16bit-2.RAR
16-bit SL path 2
Bob Shemyakin

Kazyan
Posts: 1028
Joined: February 6th, 2014, 11:02 pm

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

It's been a while since the original 16-in-16 project. In the roughly two and a half years since it completed, our tools for glider synthesis have improved a lot, from the widely accessible tracking system in Shinjuku-Catagolue to the library of soups gathered by Apgsearch to the automated component-basher of transfer.py to the various find-the-reaction-you-want scripts (synthesize-constellation, spark_search, collisrc, popseq...)

As of less than an hour ago, Goldtiger found two 14-glider syntheses of the only two 16-bit still lifes that still cost 15G. All 16-bit still lifes can now be synthesized in 14 gliders or less.
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook.

Scorbie
Posts: 1485
Joined: December 7th, 2013, 1:05 am

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

So here's the place for a big congrats, eh?
Congrats to everyone involved, seeing the process on discord I can tell it's a lot of hard work.
Best wishes to you, Scorbie