16 in 16: Efficient 16-bit Synthesis Project

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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dvgrn
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Re: 16 in 16: Efficient 16-bit Synthesis Project

Post by dvgrn » January 19th, 2017, 10:04 pm

Goldtiger997 wrote:16.2318 in 12 gliders (bad cleanup)...
That can easily be reduced by one glider, in at least a couple of ways (found via the Seeds of Destruction Game). Saving another glider looks harder though:

Code: Select all

x = 148, y = 66, rule = B3/S23
75bo5bo3bobo$75b2o5b2ob2o$74bobo4b2o3bo3$119b2o$10bo30bo39bo38bo$11bo
29bo39bo35b3o$9b3o29bo39bo35bo$115b2o$113bo2bobo$10b2o101b2o2b2o$bo7bo
bo$2bo8bo75b2o$3o32bo39bo11bobo$34bobo37bobo10bo$3b3o28bobo37bobo$5bo
29bo39bo$4bo31$47b2o$46bobo$48bo7$145b2o$145bobo$145bo3$135bo$134b2o$
134bobo!

Code: Select all

x = 181, y = 50, rule = B3/S23
158bo$158bobo$158b2o2$126bo29bo$75bo5bo3bobo38bo29bo$75b2o5b2ob2o39bo
29bo$74bobo4b2o3bo3$119b2o28b2o28b2o$10bo30bo39bo38bo29bo29bo$11bo29bo
39bo35b3o27b3o27b3o$9b3o29bo39bo35bo29bo29bo$115b2o28b2o28b2o$113bo2bo
bo24bo2bobo24bo2bobo$10b2o101b2o2b2o24b2o2b2o24b2o2b2o$bo7bobo$2bo8bo
75b2o$3o32bo39bo11bobo$34bobo37bobo10bo$3b3o28bobo37bobo$5bo29bo39bo$
4bo4$110b2o28b2o$110b2o28b2o2$116b2o23bo4b2o$115bobo23b2o2bobo$116bo
23bobo3bo15$115b3o$115bo$116bo!
EDIT:
Goldtiger997 wrote:16.1110 in 8 gliders with no cleanup (I wasn't satisfied with any of the cleanups I found)...
Yeah, that looks like a messy one. Seeds of Destruction quickly turns up a large ugly suppression with three more gliders, from which I conclude there's probably a way to do it with two:

Code: Select all

x = 152, y = 137, rule = B3/S23
149bobo$149b2o$150bo56$106bo$105bo$105b3o18$bo$2bo$3o10$63bobo$63b2o$
64bo32$26bo$26bobo$20bobo3b2o8bo$20b2o12b2o$21bo13b2o$24b2o12b3o$23b2o
6bo6bo$25bo4bo8bo$30b3o2$27b3o$27bo$28bo!

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

Post by BlinkerSpawn » January 19th, 2017, 10:26 pm

This reduces 16.2205 by one, pushing 16.2207 down to 1 glider/bit:

Code: Select all

x = 46, y = 57, rule = B3/S23
obo$b2o$bo26$36bo$32bo3bobo$33bo2b2o$31b3o2$42bo$41bo$41b3o4$24bo$24bo
$24bo5$36b2o6b2o$36b2o5b2o$45bo2$27b2o$26bobo$28bo$22b2o$21bobo7b2o$
23bo7bobo$31bo!
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Goldtiger997
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Re: 16 in 16: Efficient 16-bit Synthesis Project

Post by Goldtiger997 » January 20th, 2017, 7:27 am

16.1848 in 12 gliders:

Code: Select all

x = 136, y = 49, rule = B3/S23
61bo$59bobo$60b2o7$95bo$93b2o$94b2o12$6bo46bobo$5bo48b2o$5b3o46bo$2bo$
3b2o39b2o38b2o43b2o$2b2o39bo2bo36bo2bo42bo$44b2o38b2o44b3o$38bo39bo53b
o$37bobo37bobo53b2o$3o34bo2bo36bo2bo49b3o2bo$o37b2o38b2o4bo45bo3b2o$bo
82b2o$83bobo$87b3o$87bo$88bo$92bo$92bobo$92b2o$95b2o$75b3o17bobo$77bo
17bo$76bo$78b3o$78bo$79bo!

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

Post by chris_c » January 20th, 2017, 7:55 am

I pushed an update with a few improvements and these new costs from this thread:

Code: Select all

+16.2204    xs16_0gilla4z641         16
+16.2207    xs16_0gs2dicz641         15
+16.2205    xs16_0gjlka4z641         14
+16.1109    xs16_gs2dicz65           13
+16.2208    xs16_0gs2dioz641         13
+16.1848    xs16_0jiq453z32          12
+16.2182    xs16_0gjp6426z32         12
+16.1110    xs16_gs2dioz65           11
+16.2318    xs16_0gjp6413z32         11
There are now 66 still lifes without synthesis in the collection in 59 equivalence classes:

Code: Select all

x = 26, y = 1168, rule = Life
2o2bo$o2bobo$2b2o2bo$4b2o$2b2o$bobo$2bo14$2o$o2b2o$2b2o$5bo$2b4o$2bo$
3bo$2b2o13$o2bo2b2o$4o3bo$4b3o$2bobo$2b2o16$o2bo$6o$6bo$2bo2bobo$bobo
2bo$2bo15$2b2o$bo2bo$ob2o2bo$bo2b3o$3bo$4bo$3b2o14$2bo$bobo$o2bo$b3ob
2o$4bobo$3bo$2bo$2b2o13$2b2o$bobo$o2bob2o$b3o2bo$4bo$3bo$3b2o14$2b2o$b
obo$o3b2o$b2obobo$3bo2bo$3bobo$4bo14$2b2o$bo2bo$o2b2o$b2o2b2o$3bobo$3b
obo$4bo14$2b2o$bo2bo$o2bo$b2ob3o$3bo2bo$3bobo$4bo14$2bo$bobo2bo$o2b4o$
b2o$3b2o$3bobo$4bo14$2b2obo$bob2obo$o5bo$b3obo$3bob2o16$2b2ob2o$bobobo
$o5bo$b4obo$3bobo16$3b2o$b3o$o4bo$b5o2$3bo$2bobo$3bo13$3bo$b3o2bo$o3b
3o$b2o$3b2o$3bobo$4bo14$3bobo$b4obo$o5bo$b3obo$3bob2o16$3b2o$b3obo$o5b
o$bo5bo$2bob3o$3b2o15$2b2o$bobo2b2o$o6bo$b2o3bo$2bo2bo$2bobo$3bo14$2bo
$bobo$o2b3o$b2o3bo$2bo2b2o$o$2o14$2b2o$bobo$o2bobo$b2ob2o$2bo$obo$2o
14$3b2o$b3obo$o4bo$b4o$2bo$o$2o14$2ob2o$bobobo$o5bo$b4obo$3bobo16$2obo
bo$bob2obo$o5bo$b5o$3bo16$2obo$bob3o$o5bo$b4obo$3bobo16$3bobo$o2b2obo$
3o3bo$3bobo$2b2ob2o16$b2obo$o2b2o$2o3b2o$2b2o2bo$2bob2o16$b2o$o2bo$ob
2o2bo$bo2b3o$3bo$4bo$3b2o14$b2o$o2bo$obo2bo$bob2obo$3bo2bo$3bobo$4bo
14$bo19bo$obob2o14bobob2o$ob2obo14bob2obo$bo19bo$3b2o18b2o$4bo19bo$2bo
20bo$2b2o19b2o13$bo$obo2b2o$obo3bo$bob3o$3bo$2bo$2b2o14$bob2o$ob2obo$o
5bo$bob2obo$2b2obo16$b2ob2o$obobo$o5bo$bo3b2o$2bobo$3b2o15$b2ob2o$obob
o$obo2bo$bobobo$2bobo$3bo15$b2o$obo$o2b2o$b2o2bo$2bob2o$2bo$b2o14$2b2o
$bobo$bo2b2o$2o4bo$4b3o$3bo$3b2o14$3bobo$3b2obo$b2o3bo$o2bobo$bobob2o$
2bo15$2b2o$3bo$bo2b2o$ob2o2bo$bo2b2o$3bo$2b2o14$3b2o$3bo$2obo2bo$obob
3o$3bo$4bo$3b2o14$4b2o$3bo2bo$2o2b2o$ob2o$3bo$obo$2o14$2b2o$3bo$3o$o2b
3o$2bo2bo$obo$2o14$2b2obo14bob2o$2bob2o14b2obo$obo20bobo$2o2b2o14b2o2b
2o$5bo14bo$3bo17bo$3b2o15b2o14$b2o$2b3o$o4bo$4obo$4bo$2bo$2b2o14$b2o$
2bo$o2b2o$3o2bo$3b3o$2bo$2b2o14$2b2o$bo2bo$o2bobo$4obo$4bo$2bo$2b2o14$
3bo$b3o$o$6o$5bo$2bo$bobo$2bo13$3bo$b3o$o$ob2o$bobo$3bob2o$3b2obo14$2b
o$bobo$obo$o4bo$b5o2$3bo$2bobo$3bo12$2b2o$3bo$3o$o$b2o$3bo$3b3o$6bo$5b
2o12$4b2o$4bo$2o3bo$o5bo$bo3b2o$2bo2bo$3bobo$4bo13$3bo$2bobo$o2bobo$2o
bobo$bob2o$bo$2o14$4bo$3bobo$3bo2bo$b2o2b2o$o$3o$3bo$2b2o13$3bo$2bobo$
3bobo$bobobo$obobo$obo$bobo$2bo13$2b2o17b2o$bo2bo16bo2bo$2b2obo16b2obo
$4bo19bo$4o16b4o$o19bo$bo19bo$2o18b2o13$2obo$ob2o$4b2o$b2o2bo$o2b2o$2o
15$2bob2o$2b2obo$2o$bob2o$o2b2o$2o15$3b2o$3bobo$bobo2bo$obobobo$obob2o
$bo15$2b2o$2bo$3bo$3o2bo$o2b3o$2bo$3bo$2b2o13$4b2o$5bo$2b3o$2bo2b3o$3b
o3bo$3o$o14$4bo$3bobo$3bo2bo$2b2o3bo$2bo3b2o$3bo$3o$o!

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

Post by Goldtiger997 » January 20th, 2017, 8:53 am

16.233 in 11 gliders (16.233 was in the previously posted collection of equivalence classes):

Code: Select all

x = 72, y = 53, rule = B3/S23
69bo$69bobo$69b2o16$25bo$26bo$24b3o$obo$b2o$bo31bo3bo$31bobob2o$32b2o
2b2o8$46bo$45bo$45b3o2$49bo$33bo14b2o$34bo13bobo$32b3o$36bo$36bobo$36b
2o4$29b3o$31bo$30bo$32b3o$32bo$33bo!

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

Post by AbhpzTa » January 20th, 2017, 12:10 pm

Goldtiger997 wrote:16.1848 in 12 gliders:

Code: Select all

x = 136, y = 49, rule = B3/S23
61bo$59bobo$60b2o7$95bo$93b2o$94b2o12$6bo46bobo$5bo48b2o$5b3o46bo$2bo$
3b2o39b2o38b2o43b2o$2b2o39bo2bo36bo2bo42bo$44b2o38b2o44b3o$38bo39bo53b
o$37bobo37bobo53b2o$3o34bo2bo36bo2bo49b3o2bo$o37b2o38b2o4bo45bo3b2o$bo
82b2o$83bobo$87b3o$87bo$88bo$92bo$92bobo$92b2o$95b2o$75b3o17bobo$77bo
17bo$76bo$78b3o$78bo$79bo!
10 gliders:

Code: Select all

x = 136, y = 42, rule = B3/S23
24bo$22bobo$23b2o8$6bo$5bo$5b3o$2bo$3b2o39b2o43b2o38b2o$2b2o39bo2bo42b
o39bo$44b2o44b3o37b3o$38bo53bo39bo$37bobo53b2o38b2o$3o34bo2bo49b3o2bo
34b3o2bo$o37b2o4bo45bo3b2o34bo3b2o$bo42b2o$43bobo$47b3o$47bo$48bo$52bo
bo36b2o$52b2o37b2o$53bo34b2o$56bo30bobo$55b2o32bo$55bobo8$22b3o$24bo$
23bo!
Goldtiger997 wrote:16.233 in 11 gliders (16.233 was in the previously posted collection of equivalence classes):

Code: Select all

x = 72, y = 53, rule = B3/S23
69bo$69bobo$69b2o16$25bo$26bo$24b3o$obo$b2o$bo31bo3bo$31bobob2o$32b2o
2b2o8$46bo$45bo$45b3o2$49bo$33bo14b2o$34bo13bobo$32b3o$36bo$36bobo$36b
2o4$29b3o$31bo$30bo$32b3o$32bo$33bo!
9 gliders:

Code: Select all

x = 177, y = 24, rule = B3/S23
93bobo$94b2o$obo91bo80bo$b2o62bo108bo$bo22bo38bobo59b2o37bo6bo2b3o$23b
o40b2o55b2o2b2o35b3o6b2o$23b3o34b3o58b2o38bo9b2o$62bo97bo2b2o7bo$61bo
12b3o57b3o23b3obo$22b3o138bo$22bo49bo5bo53bo5bo23bo$23bo48bo5bo53bo5bo
23b2o$72bo5bo53bo5bo2$74b3o57b3o2$122bo$120bobo$121b2o2b3o$125bo$126bo
2$60b2o58b2o$60b2o58b2o!
100009436650194649 = 94649 * 1056634900001

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

Post by Goldtiger997 » January 21st, 2017, 12:24 am

16.1862 in 9 gliders:

Code: Select all

x = 48, y = 30, rule = B3/S23
bo$2bo$3o6$34bo$33bo$33b3o$31bo$29bobo$30b2o4$21bobo$22b2o12bo$22bo11b
2o$35b2o2$38b2o5b2o$37bobo4b2o$39bo6bo2$24bo$24b2o20b2o$23bobo19b2o$
47bo!
16.957 in 8 gliders:

Code: Select all

x = 40, y = 29, rule = B3/S23
37bobo$37b2o$27b2o9bo$26b2o$10bo12b2o3bo$8bobo13b2o$9b2o12bo$obo$b2o$b
o$25b2o$25bobo$25bo11$35bo$34b2o$34bobo$7b3o$9bo$8bo!
EDIT:

16.211 in 13 gliders:

Code: Select all

x = 38, y = 52, rule = B3/S23
19bo$17b2o$18b2o$10bo$11b2o$10b2o10bo$22bobo$22b2o$12bo$10bobo$11b2o$
20bo$19bo$15bo3b3o$16b2o$15b2o20bo$22bo12b2o$20b2o14b2o$21b2o$32bo$31b
o$22bo8b3o$21bo$21b3o$32b3o$32bo$33bo2$21bo$20b2o$20bobo19$3o$2bo$bo!

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

Post by Goldtiger997 » January 31st, 2017, 12:15 am

16.1697 in 11 gliders:

Code: Select all

x = 144, y = 49, rule = B3/S23
48bobo$49b2o$49bo$71bobo$71b2o$72bo5$41bobo$42b2o$42bo$51b3o36b2o28b2o
18b2o$26b2o25bo2b2o32bo29bo19bo$25bo2bo23bo2bo2bo28b2obobo24b2obobo14b
2obobo$26b2o28b2o29bobobobo23bobobobo13bobobobo$91bobo27bobo17bobo$o3b
o85bobo27bobo17bobo$b2obobo5bo32b2o43b2o28b2o19bo$2o2b2o5b2o31b2o$11bo
bo32bo78b2o$125bobo$125bo$121b3o$40b2o81bo$39bobo80bo$28b2o11bo16b2o$
28b2o28b2o18$76b2o$76bobo$76bo!

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

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

Post by BobShemyakin » January 31st, 2017, 12:35 pm

Goldtiger997 wrote:16.1697 in 11 gliders:

Code: Select all

x = 144, y = 49, rule = B3/S23
48bobo$49b2o$49bo$71bobo$71b2o$72bo5$41bobo$42b2o$42bo$51b3o36b2o28b2o
18b2o$26b2o25bo2b2o32bo29bo19bo$25bo2bo23bo2bo2bo28b2obobo24b2obobo14b
2obobo$26b2o28b2o29bobobobo23bobobobo13bobobobo$91bobo27bobo17bobo$o3b
o85bobo27bobo17bobo$b2obobo5bo32b2o43b2o28b2o19bo$2o2b2o5b2o31b2o$11bo
bo32bo78b2o$125bobo$125bo$121b3o$40b2o81bo$39bobo80bo$28b2o11bo16b2o$
28b2o28b2o18$76b2o$76bobo$76bo!
Only 12 gliders: stroked objects interact before.

Code: Select all

x = 144, y = 49, rule = B3/S23
48bobo$49b2o$49bo$71bobo$71b2o$72bo5$41bobo$42b2o$42bo$51b3o36b2o28b2o
18b2o$26b2o25bo2b2o32bo29bo19bo$25bo2bo23bo2bo2bo28b2obobo24b2obobo14b
2obobo$26b2o15bo2bo9b2o29bobobobo23bobobobo13bobobobo$49bo41bobo27bobo
17bobo$o3bo36bo48bobo27bobo17bobo$b2obobo5bo32b2o5bo37b2o28b2o19bo$2o
2b2o5b2o31b2o$11bobo27bo4bo8bo69b2o$125bobo$43bo14bo66bo$121b3o$40b2o
4bo14bo61bo$39bobo80bo$28b2o11bo7bo8b2o$28b2o28b2o2bo$52bo$55bo$58bo2b
o15$76b2o$76bobo$76bo!
Bob Shemyakin

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

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

Post by chris_c » January 31st, 2017, 1:10 pm

BobShemyakin wrote:
Goldtiger997 wrote:16.1697 in 11 gliders:
Only 12 gliders: stroked objects interact before.
Well spotted. Also the first 3G collision does not produce the correct constellation for the second step. The block is displaced by one cell in the x-direction. I will hopefully update the lists tomorrow.

EDIT: Pushed an update with the following new costs. Hope I didn't miss anything.

Code: Select all

+16.211     xs16_32qjc453            13
+16.1697    xs16_4a5la8czx23         13
+16.1848    xs16_0jiq453z32          10
+16.233     xs16_178jt246            9
+16.1862    xs16_31km9a4z0121        9
+16.957     xs16_31kmiozw56          8
EDIT2: List of all still lifes without synthesis in 15 gliders sorted by Catagolue frequency:

Code: Select all

16.1854    xs16_39s0ca4z321         16              696398
16.656     xs16_8o6p96z1221         18              179699
16.1973    xs16_0ggm9icz1243        16              43214
16.776     xs16_2llm853z01          17              34628
16.1928    xs16_c88q552z311         17              33895
16.761     xs16_4aqb96z32           999             23266
16.157     xs16_330fhar             24              12900
16.143     xs16_4a9r2pm             999             12075
16.124     xs16_69ari96             27              10365
16.1113    xs16_0gs2arz3421         20              9193
16.2186    xs16_wml1e8z643          20              8663
16.643     xs16_o4o7picz01          999             8218
16.739     xs16_2l2s53z321          16              8029
16.150     xs16_5b8ra96             999             7223
16.128     xs16_65pajkc             999             6736
16.738     xs16_3lka96z121          24              5411
16.149     xs16_5b8ri96             17              4685
16.202     xs16_354cgn96            27              4612
16.657     xs16_695q4ozw321         16              4403
16.1752    xs16_695q84ozx121        999             4250
16.800     xs16_c8al96z311          19              4172
16.645     xs16_caikm96zw1          16              3993
16.131     xs16_660uhar             32              3702
16.1706    xs16_2ege9a4zw23         999             3655
16.121     xs16_3pq3pm              999             2747
16.663     xs16_69r4koz023          999             2661
16.1701    xs16_4a9jc4ozx121        999             2425
16.1856    xs16_39u06a4z32          16              2408
16.626     xs16_69n8jdzx1           999             2282
16.1739    xs16_g88r2qkz121         20              2219
16.1716    xs16_4a9mk46zx121        999             2174
16.1880    xs16_259q453z032         25              1975
16.665     xs16_699mkiczx1          18              1857
16.829     xs16_0md1e8z1226         23              1475
16.142     xs16_5b8raic             999             1465
16.641     xs16_c9baiczw32          999             1429
16.748     xs16_39ege2z321          17              1372
16.799     xs16_c8al56z311          17              1176
16.642     xs16_6s1raa4zw1          53              1101
16.228     xs16_178bp2sg            20              1047
16.2017    xs16_039s0ccz2521        18              975
16.159     xs16_2egmd1e8            21              960
16.765     xs16_4ap78cz321          999             926
16.686     xs16_mkkb2acz1           39              903
16.152     xs16_5b8r9ic             999             897
16.2309    xs16_8kk31e8z641         21              779
16.846     xs16_caab8oz0252         999             684
16.1696    xs16_4a9mk4ozx121        17              639
16.19      xs16_caarz39c            18              505
16.810     xs16_ca9la4z311          16              471
16.1992    xs16_25is0cczw65         16              470
16.1881    xs16_259q453zw32         19              433
16.813     xs16_c4lb8oz321          999             425
16.834     xs16_8u15a4z1226         25              422
16.774     xs16_69raa4z32           21              419
16.691     xs16_co2ticz23           999             419
16.1863    xs16_4aq32acz32          17              381
16.360     xs16_2egu16413           16              360
16.848     xs16_ca9b8oz0252         18              359
16.2014    xs16_25a8kk8z0253        17              340
16.717     xs16_31kmp3z032          33              337
16.827     xs16_ciaj2ak8zw1         999             329
16.1717    xs16_4aajk46zx121        999             328
16.995     xs16_0raik8z643          16              320
16.666     xs16_q6ge1daz01          17              308
16.1722    xs16_4aq32acz032         17              307
16.1940    xs16_c48q552z321         999             281
16.716     xs16_3pmk46zx23          32              272
16.265     xs16_259m861ac           17              270
16.1757    xs16_g8idik8z123         18              267
16.2060    xs16_69akg4czx56         16              260
16.1773    xs16_ciarzx3213          999             259
16.1703    xs16_4a9la8ozx121        999             250
16.647     xs16_8k4r2pmzw1          999             241
16.740     xs16_3l2s53z121          16              236
16.153     xs16_4a9r8jd             999             227
16.18      xs16_caarzbd             19              208
16.1684    xs16_4aab9k8zx32         19              163
16.2174    xs16_08u164koz32         27              160
16.1768    xs16_mk461acz121         17              157
16.353     xs16_321fgc453           23              155
16.1740    xs16_69acga6zx32         23              155
16.1143    xs16_ciligozw4a4         999             154
16.668     xs16_gbq1daz121          17              152
16.2503    xs16_ckl3zx32ac          999             147
16.1990    xs16_8e1tazx1252         18              143
16.1857    xs16_39u0652z32          16              141
16.144     xs16_4aar2pm             999             141
16.243     xs16_2egu16426           16              138
16.2018    xs16_25a8c826zw33        18              125
16.619     xs16_j9ajkcz11           999             120
16.819     xs16_ra178cz23           999             120
16.126     xs16_69ir9ic             999             117
16.1112    xs16_0gs2arz6421         26              114
16.822     xs16_8ehikozw56          16              112
16.2445    xs16_ciligzx254c         16              105
16.1787    xs16_069m4koz311         16              104
16.1699    xs16_8e13kkozx32         999             99
16.953     xs16_0cil56z6221         16              98
16.1991    xs16_8e1qbzx1252         17              97
16.1929    xs16_0g5r8b5z121         16              94
16.213     xs16_35861tic            23              89
16.15      xs16_178c1f84c           17              83
16.2295    xs16_0g8go8brz23         24              74
16.1755    xs16_696o8a6z032         999             73
16.921     xs16_ghn831e8z1          16              73
16.155     xs16_3pabp46             18              72
16.634     xs16_ca9diczw32          999             71
16.839     xs16_g8idicz1252         999             70
16.1694    xs16_4a5p6o8zx121        19              65
16.2347    xs16_g8861acz0db         28              64
16.1847    xs16_39c8a52z033         23              62
16.628     xs16_kc32qkz0113         28              62
16.1954    xs16_8kk31e8z065         21              61
16.731     xs16_3iajkcz23           28              57
16.836     xs16_4aajkczx56          20              57
16.833     xs16_0mp2sgz1243         20              56
16.616     xs16_i5pajoz11           17              53
16.640     xs16_c9bkkozw32          999             49
16.854     xs16_4aab9czw252         999             45
16.801     xs16_08eharz321          19              43
16.1904    xs16_8u164koz32          32              41
16.230     xs16_178jd2ko            19              39
16.1743    xs16_696o8a6zw32         999             39
16.795     xs16_c87p46z311          53              39
16.2132    xs16_0g8it2sgz23         17              38
16.927     xs16_4akgf9zw65          18              38
16.313     xs16_3pm44og4c           35              36
16.804     xs16_c871arzx32          999             36
16.1106    xs16_0iu0dbz641          25              35
16.1691    xs16_4a9l6o8zx121        999             35
16.1754    xs16_695m88czx23         999             35
16.442     xs16_0cai3z4aip          17              32
16.2201    xs16_0ggml96z641         18              32
16.1304    xs16_0okih3zc8421        16              32
16.312     xs16_62s53zbd            29              31
16.1391    xs16_ca168ozc8421        16              31
16.1976    xs16_g8861acz1156        999             29
16.1994    xs16_0g9fgka4z121        16              28
16.929     xs16_3iaj2ak8zw1         999             28
16.1704    xs16_4a9fg4czx32         999             28
16.2541    xs16_g8861aczc93         28              28
16.1846    xs16_25a8c93zw33         23              27
16.227     xs16_5b8r5426            17              23
16.856     xs16_kc32acz1252         16              23
16.623     xs16_o5r8jdz01           27              23
16.914     xs16_8kkja952zx1         18              22
16.1791    xs16_03lkaa4z3201        20              19
16.1096    xs16_ckjaa4z641          18              19
16.1464    xs16_08o696z6ip          16              18
16.1702    xs16_4a5p68ozx121        23              18
16.706     xs16_39s0qmz023          24              17
16.1766    xs16_kc321e8z123         16              17
16.101     xs16_0c9jzi5dz11         21              15
16.2219    xs16_0oe12koz643         16              14
16.350     xs16_312461tic           16              14
16.621     xs16_g5r8jdz11           25              14
16.723     xs16_i5p64koz11          20              14
16.1034    xs16_3lkaa4z065          24              13
16.1962    xs16_4a9eg8ozw65         999             13
16.1723    xs16_4ap64koz032         999             13
16.2820    xs16_wmk4871z643         25              13
16.915     xs16_0gs2pmz1243         20              12
16.1790    xs16_178cia4z0321        18              12
16.803     xs16_c9bk46z311          17              12
16.1323    xs16_031e8gzc9311        29              11
16.177     xs16_25b8r54c            16              11
16.278     xs16_32qj43146           29              11
16.786     xs16_3pa3ia4zw11         28              11
16.724     xs16_j5o64koz11          16              11
16.1758    xs16_4a4o796zw121        17              10
16.996     xs16_2lm853z056          16              9
16.2542    xs16_g88c871zc93         16              9
16.2546    xs16_j9cz122c84c         16              9
16.1115    xs16_08kaarz6221         17              8
16.1018    xs16_3p6o8ge2zw1         27              8
16.2302    xs16_4ap6413z65          16              8
16.682     xs16_69j0j9czx11         999             8
16.838     xs16_ci9b8ozw56          16              8
16.3163    xs16_wo443123zbd         17              8
16.872     xs16_2lla8oz065          20              7
16.695     xs16_5b8bl8zx32          25              7
16.1995    xs16_cik8a52z065         18              7
16.2630    xs16_31e8gzxo9a6         16              6
16.1680    xs16_8e123ckzx311        17              6
16.1127    xs16_giligoz104a4        32              6
16.2322    xs16_raak8zx1252         16              6
16.3227    xs16_31e8gzy012ego       27              5
16.147     xs16_32qjap3             32              5
16.772     xs16_3h4e1daz011         16              5
16.1753    xs16_695q4gozw23         21              5
16.2547    xs16_j9cz122c826         16              5
16.2805    xs16_0gs2c871z641        16              4
16.591     xs16_1784cggc4go         27              4
16.2029    xs16_25ao4a4z2521        16              4
16.106     xs16_31246116853         17              4
16.926     xs16_3iajc4gozw1         21              4
16.3066    xs16_4a9jzx12ego         23              4
16.151     xs16_64kr2pm             999             4
16.2058    xs16_69akg4czx146        20              4
16.778     xs16_69la8oz321          36              4
16.1967    xs16_o86178cz056         16              4
16.713     xs16_o8bap3z23           24              4
16.1107    xs16_02egdbz2521         18              3
16.1867    xs16_069q453z311         17              3
16.2030    xs16_0i5q8a52z121        16              3
16.1882    xs16_259m453zx23         17              3
16.358     xs16_321fgc2ko           19              3
16.354     xs16_35s26zbd            29              3
16.1080    xs16_3lo0kcz3421         16              3
16.1710    xs16_4a9bk46zx32         16              3
16.828     xs16_4alhe8z0641         28              3
16.1861    xs16_4ap64koz32          999             3
16.2305    xs16_6413ia4z6421        16              3
16.890     xs16_696ki6zw641         999             3
16.889     xs16_696ki6zx65          999             3
16.1911    xs16_69q3213z32          18              3
16.1685    xs16_c48n98czx23         999             3
16.842     xs16_cila8oz065          34              3
16.1105    xs16_gie0dbz146          18              3
16.944     xs16_gjlka4z56           999             3
16.762     xs16_jhke1e8z1           16              3
16.1901    xs16_08obap3z32          25              2
16.2862    xs16_08u16413z65         16              2
16.2204    xs16_0gilla4z641         16              2
16.220     xs16_3123qajo            29              2
16.349     xs16_35s26z39c           35              2
16.380     xs16_4a40vh248c          17              2
16.1720    xs16_4a4o79ozx121        16              2
16.875     xs16_4a5pa4z2521         18              2
16.771     xs16_69qb8oz32           16              2
16.300     xs16_9fg4czbd            23              2
16.840     xs16_c8idiczw56          16              2
16.1094    xs16_cila8oz641          40              2
16.2096    xs16_wck5b8oz311         999             2
16.1675    xs16_xj96z0mdz32         16              2
16.2025    xs16_069q48cz2521        18              1
16.2699    xs16_08o6413zrm          16              1
16.2313    xs16_08u16853z32         23              1
16.2162    xs16_0at16426z32         19              1
16.2447    xs16_0g8it248cz23        18              1
16.104     xs16_0j5ozj4pz11         16              1
16.2460    xs16_0o861aczc452        16              1
16.593     xs16_3123c48gka4         16              1
16.1864    xs16_31ke1e8z032         16              1
16.185     xs16_32qk5b8o            30              1
16.1064    xs16_39m88cz6221         24              1
16.745     xs16_39qb8oz32           19              1
16.1085    xs16_3h4e12koz011        16              1
16.2480    xs16_3iaczw1139c         18              1
16.930     xs16_3iaj21e8zw1         25              1
16.1073    xs16_3lkaa4z641          20              1
16.218     xs16_3pajc48c            33              1
16.712     xs16_3pc0qmzw23          48              1
16.843     xs16_4a9liczx56          17              1
16.2694    xs16_4ai3gzx11mq         17              1
16.825     xs16_4alhe8zw65          25              1
16.1979    xs16_4ap30ga6zw121       999             1
16.1721    xs16_64kb2acz032         35              1
16.1715    xs16_64p784czw23         17              1
16.2050    xs16_6ik8a52z065         19              1
16.1682    xs16_8k9bkk8zw23         999             1
16.1912    xs16_at16426z32          19              1
16.1711    xs16_c8idik8z023         18              1
16.3134    xs16_c9jzw122c826        17              1
16.2317    xs16_cik8a52z641         16              1
16.1970    xs16_ckw3lozw1243        999             1
16.943     xs16_gilla4z56           999             1
16.821     xs16_o8blgozw56          999             1
16.2861    xs16_ol3zw343146         17              1
16.3164    xs16_wo443146zbd         17              1
16.2784    xs16_woe12koz6221        999             1
EDIT3: The above list looks like it could be useful. Here is 16.1854 in 6G:

Code: Select all

x = 58, y = 41, rule = B3/S23
34bo$34bobo$34b2o$56b2o$31bobo22b2o$32b2o$32bo4$30b2o$30bobo$30bo26$b
2o$obo$2bo!
Last edited by chris_c on February 1st, 2017, 2:46 pm, edited 1 time in total.

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

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

Post by AbhpzTa » February 1st, 2017, 2:44 pm

BobShemyakin wrote:
Goldtiger997 wrote:16.1697 in 11 gliders:

Code: Select all

x = 144, y = 49, rule = B3/S23
48bobo$49b2o$49bo$71bobo$71b2o$72bo5$41bobo$42b2o$42bo$51b3o36b2o28b2o
18b2o$26b2o25bo2b2o32bo29bo19bo$25bo2bo23bo2bo2bo28b2obobo24b2obobo14b
2obobo$26b2o28b2o29bobobobo23bobobobo13bobobobo$91bobo27bobo17bobo$o3b
o85bobo27bobo17bobo$b2obobo5bo32b2o43b2o28b2o19bo$2o2b2o5b2o31b2o$11bo
bo32bo78b2o$125bobo$125bo$121b3o$40b2o81bo$39bobo80bo$28b2o11bo16b2o$
28b2o28b2o18$76b2o$76bobo$76bo!
Only 12 gliders: stroked objects interact before.

Code: Select all

x = 144, y = 49, rule = B3/S23
48bobo$49b2o$49bo$71bobo$71b2o$72bo5$41bobo$42b2o$42bo$51b3o36b2o28b2o
18b2o$26b2o25bo2b2o32bo29bo19bo$25bo2bo23bo2bo2bo28b2obobo24b2obobo14b
2obobo$26b2o15bo2bo9b2o29bobobobo23bobobobo13bobobobo$49bo41bobo27bobo
17bobo$o3bo36bo48bobo27bobo17bobo$b2obobo5bo32b2o5bo37b2o28b2o19bo$2o
2b2o5b2o31b2o$11bobo27bo4bo8bo69b2o$125bobo$43bo14bo66bo$121b3o$40b2o
4bo14bo61bo$39bobo80bo$28b2o11bo7bo8b2o$28b2o28b2o2bo$52bo$55bo$58bo2b
o15$76b2o$76bobo$76bo!
Bob Shemyakin
At most 11 gliders:

Code: Select all

x = 33, y = 26, rule = B3/S23
bo3bo11b2o$2bobobo10b2o$3o2b2o5$19bo$18b2o$18bobo$10b3o$12bo$11bo4$10b
3o$12bo$11bo$18b3o$18bo12b2o$19bo10b2o$32bo$4b2o$3bobo$5bo!
100009436650194649 = 94649 * 1056634900001

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

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

Post by Goldtiger997 » February 4th, 2017, 3:26 am

chris_c wrote: EDIT2: List of all still lifes without synthesis in 15 gliders sorted by Catagolue frequency:

Code: Select all

16.1854    xs16_39s0ca4z321         16              696398
16.656     xs16_8o6p96z1221         18              179699
16.1973    xs16_0ggm9icz1243        16              43214
16.776     xs16_2llm853z01          17              34628
16.1928    xs16_c88q552z311         17              33895
16.761     xs16_4aqb96z32           999             23266
16.157     xs16_330fhar             24              12900
16.143     xs16_4a9r2pm             999             12075
16.124     xs16_69ari96             27              10365
16.1113    xs16_0gs2arz3421         20              9193
16.2186    xs16_wml1e8z643          20              8663
16.643     xs16_o4o7picz01          999             8218
16.739     xs16_2l2s53z321          16              8029
16.150     xs16_5b8ra96             999             7223
16.128     xs16_65pajkc             999             6736
16.738     xs16_3lka96z121          24              5411
16.149     xs16_5b8ri96             17              4685
16.202     xs16_354cgn96            27              4612
16.657     xs16_695q4ozw321         16              4403
16.1752    xs16_695q84ozx121        999             4250
16.800     xs16_c8al96z311          19              4172
16.645     xs16_caikm96zw1          16              3993
16.131     xs16_660uhar             32              3702
16.1706    xs16_2ege9a4zw23         999             3655
16.121     xs16_3pq3pm              999             2747
16.663     xs16_69r4koz023          999             2661
16.1701    xs16_4a9jc4ozx121        999             2425
16.1856    xs16_39u06a4z32          16              2408
16.626     xs16_69n8jdzx1           999             2282
16.1739    xs16_g88r2qkz121         20              2219
16.1716    xs16_4a9mk46zx121        999             2174
16.1880    xs16_259q453z032         25              1975
16.665     xs16_699mkiczx1          18              1857
16.829     xs16_0md1e8z1226         23              1475
16.142     xs16_5b8raic             999             1465
16.641     xs16_c9baiczw32          999             1429
16.748     xs16_39ege2z321          17              1372
16.799     xs16_c8al56z311          17              1176
16.642     xs16_6s1raa4zw1          53              1101
16.228     xs16_178bp2sg            20              1047
16.2017    xs16_039s0ccz2521        18              975
16.159     xs16_2egmd1e8            21              960
16.765     xs16_4ap78cz321          999             926
16.686     xs16_mkkb2acz1           39              903
16.152     xs16_5b8r9ic             999             897
16.2309    xs16_8kk31e8z641         21              779
16.846     xs16_caab8oz0252         999             684
16.1696    xs16_4a9mk4ozx121        17              639
16.19      xs16_caarz39c            18              505
16.810     xs16_ca9la4z311          16              471
16.1992    xs16_25is0cczw65         16              470
16.1881    xs16_259q453zw32         19              433
16.813     xs16_c4lb8oz321          999             425
16.834     xs16_8u15a4z1226         25              422
16.774     xs16_69raa4z32           21              419
16.691     xs16_co2ticz23           999             419
16.1863    xs16_4aq32acz32          17              381
16.360     xs16_2egu16413           16              360
16.848     xs16_ca9b8oz0252         18              359
16.2014    xs16_25a8kk8z0253        17              340
16.717     xs16_31kmp3z032          33              337
16.827     xs16_ciaj2ak8zw1         999             329
16.1717    xs16_4aajk46zx121        999             328
16.995     xs16_0raik8z643          16              320
16.666     xs16_q6ge1daz01          17              308
16.1722    xs16_4aq32acz032         17              307
16.1940    xs16_c48q552z321         999             281
16.716     xs16_3pmk46zx23          32              272
16.265     xs16_259m861ac           17              270
16.1757    xs16_g8idik8z123         18              267
16.2060    xs16_69akg4czx56         16              260
16.1773    xs16_ciarzx3213          999             259
16.1703    xs16_4a9la8ozx121        999             250
16.647     xs16_8k4r2pmzw1          999             241
16.740     xs16_3l2s53z121          16              236
16.153     xs16_4a9r8jd             999             227
16.18      xs16_caarzbd             19              208
16.1684    xs16_4aab9k8zx32         19              163
16.2174    xs16_08u164koz32         27              160
16.1768    xs16_mk461acz121         17              157
16.353     xs16_321fgc453           23              155
16.1740    xs16_69acga6zx32         23              155
16.1143    xs16_ciligozw4a4         999             154
16.668     xs16_gbq1daz121          17              152
16.2503    xs16_ckl3zx32ac          999             147
16.1990    xs16_8e1tazx1252         18              143
16.1857    xs16_39u0652z32          16              141
16.144     xs16_4aar2pm             999             141
16.243     xs16_2egu16426           16              138
16.2018    xs16_25a8c826zw33        18              125
16.619     xs16_j9ajkcz11           999             120
16.819     xs16_ra178cz23           999             120
16.126     xs16_69ir9ic             999             117
16.1112    xs16_0gs2arz6421         26              114
16.822     xs16_8ehikozw56          16              112
16.2445    xs16_ciligzx254c         16              105
16.1787    xs16_069m4koz311         16              104
16.1699    xs16_8e13kkozx32         999             99
16.953     xs16_0cil56z6221         16              98
16.1991    xs16_8e1qbzx1252         17              97
16.1929    xs16_0g5r8b5z121         16              94
16.213     xs16_35861tic            23              89
16.15      xs16_178c1f84c           17              83
16.2295    xs16_0g8go8brz23         24              74
16.1755    xs16_696o8a6z032         999             73
16.921     xs16_ghn831e8z1          16              73
16.155     xs16_3pabp46             18              72
16.634     xs16_ca9diczw32          999             71
16.839     xs16_g8idicz1252         999             70
16.1694    xs16_4a5p6o8zx121        19              65
16.2347    xs16_g8861acz0db         28              64
16.1847    xs16_39c8a52z033         23              62
16.628     xs16_kc32qkz0113         28              62
16.1954    xs16_8kk31e8z065         21              61
16.731     xs16_3iajkcz23           28              57
16.836     xs16_4aajkczx56          20              57
16.833     xs16_0mp2sgz1243         20              56
16.616     xs16_i5pajoz11           17              53
16.640     xs16_c9bkkozw32          999             49
16.854     xs16_4aab9czw252         999             45
16.801     xs16_08eharz321          19              43
16.1904    xs16_8u164koz32          32              41
16.230     xs16_178jd2ko            19              39
16.1743    xs16_696o8a6zw32         999             39
16.795     xs16_c87p46z311          53              39
16.2132    xs16_0g8it2sgz23         17              38
16.927     xs16_4akgf9zw65          18              38
16.313     xs16_3pm44og4c           35              36
16.804     xs16_c871arzx32          999             36
16.1106    xs16_0iu0dbz641          25              35
16.1691    xs16_4a9l6o8zx121        999             35
16.1754    xs16_695m88czx23         999             35
16.442     xs16_0cai3z4aip          17              32
16.2201    xs16_0ggml96z641         18              32
16.1304    xs16_0okih3zc8421        16              32
16.312     xs16_62s53zbd            29              31
16.1391    xs16_ca168ozc8421        16              31
16.1976    xs16_g8861acz1156        999             29
16.1994    xs16_0g9fgka4z121        16              28
16.929     xs16_3iaj2ak8zw1         999             28
16.1704    xs16_4a9fg4czx32         999             28
16.2541    xs16_g8861aczc93         28              28
16.1846    xs16_25a8c93zw33         23              27
16.227     xs16_5b8r5426            17              23
16.856     xs16_kc32acz1252         16              23
16.623     xs16_o5r8jdz01           27              23
16.914     xs16_8kkja952zx1         18              22
16.1791    xs16_03lkaa4z3201        20              19
16.1096    xs16_ckjaa4z641          18              19
16.1464    xs16_08o696z6ip          16              18
16.1702    xs16_4a5p68ozx121        23              18
16.706     xs16_39s0qmz023          24              17
16.1766    xs16_kc321e8z123         16              17
16.101     xs16_0c9jzi5dz11         21              15
16.2219    xs16_0oe12koz643         16              14
16.350     xs16_312461tic           16              14
16.621     xs16_g5r8jdz11           25              14
16.723     xs16_i5p64koz11          20              14
16.1034    xs16_3lkaa4z065          24              13
16.1962    xs16_4a9eg8ozw65         999             13
16.1723    xs16_4ap64koz032         999             13
16.2820    xs16_wmk4871z643         25              13
16.915     xs16_0gs2pmz1243         20              12
16.1790    xs16_178cia4z0321        18              12
16.803     xs16_c9bk46z311          17              12
16.1323    xs16_031e8gzc9311        29              11
16.177     xs16_25b8r54c            16              11
16.278     xs16_32qj43146           29              11
16.786     xs16_3pa3ia4zw11         28              11
16.724     xs16_j5o64koz11          16              11
16.1758    xs16_4a4o796zw121        17              10
16.996     xs16_2lm853z056          16              9
16.2542    xs16_g88c871zc93         16              9
16.2546    xs16_j9cz122c84c         16              9
16.1115    xs16_08kaarz6221         17              8
16.1018    xs16_3p6o8ge2zw1         27              8
16.2302    xs16_4ap6413z65          16              8
16.682     xs16_69j0j9czx11         999             8
16.838     xs16_ci9b8ozw56          16              8
16.3163    xs16_wo443123zbd         17              8
16.872     xs16_2lla8oz065          20              7
16.695     xs16_5b8bl8zx32          25              7
16.1995    xs16_cik8a52z065         18              7
16.2630    xs16_31e8gzxo9a6         16              6
16.1680    xs16_8e123ckzx311        17              6
16.1127    xs16_giligoz104a4        32              6
16.2322    xs16_raak8zx1252         16              6
16.3227    xs16_31e8gzy012ego       27              5
16.147     xs16_32qjap3             32              5
16.772     xs16_3h4e1daz011         16              5
16.1753    xs16_695q4gozw23         21              5
16.2547    xs16_j9cz122c826         16              5
16.2805    xs16_0gs2c871z641        16              4
16.591     xs16_1784cggc4go         27              4
16.2029    xs16_25ao4a4z2521        16              4
16.106     xs16_31246116853         17              4
16.926     xs16_3iajc4gozw1         21              4
16.3066    xs16_4a9jzx12ego         23              4
16.151     xs16_64kr2pm             999             4
16.2058    xs16_69akg4czx146        20              4
16.778     xs16_69la8oz321          36              4
16.1967    xs16_o86178cz056         16              4
16.713     xs16_o8bap3z23           24              4
16.1107    xs16_02egdbz2521         18              3
16.1867    xs16_069q453z311         17              3
16.2030    xs16_0i5q8a52z121        16              3
16.1882    xs16_259m453zx23         17              3
16.358     xs16_321fgc2ko           19              3
16.354     xs16_35s26zbd            29              3
16.1080    xs16_3lo0kcz3421         16              3
16.1710    xs16_4a9bk46zx32         16              3
16.828     xs16_4alhe8z0641         28              3
16.1861    xs16_4ap64koz32          999             3
16.2305    xs16_6413ia4z6421        16              3
16.890     xs16_696ki6zw641         999             3
16.889     xs16_696ki6zx65          999             3
16.1911    xs16_69q3213z32          18              3
16.1685    xs16_c48n98czx23         999             3
16.842     xs16_cila8oz065          34              3
16.1105    xs16_gie0dbz146          18              3
16.944     xs16_gjlka4z56           999             3
16.762     xs16_jhke1e8z1           16              3
16.1901    xs16_08obap3z32          25              2
16.2862    xs16_08u16413z65         16              2
16.2204    xs16_0gilla4z641         16              2
16.220     xs16_3123qajo            29              2
16.349     xs16_35s26z39c           35              2
16.380     xs16_4a40vh248c          17              2
16.1720    xs16_4a4o79ozx121        16              2
16.875     xs16_4a5pa4z2521         18              2
16.771     xs16_69qb8oz32           16              2
16.300     xs16_9fg4czbd            23              2
16.840     xs16_c8idiczw56          16              2
16.1094    xs16_cila8oz641          40              2
16.2096    xs16_wck5b8oz311         999             2
16.1675    xs16_xj96z0mdz32         16              2
16.2025    xs16_069q48cz2521        18              1
16.2699    xs16_08o6413zrm          16              1
16.2313    xs16_08u16853z32         23              1
16.2162    xs16_0at16426z32         19              1
16.2447    xs16_0g8it248cz23        18              1
16.104     xs16_0j5ozj4pz11         16              1
16.2460    xs16_0o861aczc452        16              1
16.593     xs16_3123c48gka4         16              1
16.1864    xs16_31ke1e8z032         16              1
16.185     xs16_32qk5b8o            30              1
16.1064    xs16_39m88cz6221         24              1
16.745     xs16_39qb8oz32           19              1
16.1085    xs16_3h4e12koz011        16              1
16.2480    xs16_3iaczw1139c         18              1
16.930     xs16_3iaj21e8zw1         25              1
16.1073    xs16_3lkaa4z641          20              1
16.218     xs16_3pajc48c            33              1
16.712     xs16_3pc0qmzw23          48              1
16.843     xs16_4a9liczx56          17              1
16.2694    xs16_4ai3gzx11mq         17              1
16.825     xs16_4alhe8zw65          25              1
16.1979    xs16_4ap30ga6zw121       999             1
16.1721    xs16_64kb2acz032         35              1
16.1715    xs16_64p784czw23         17              1
16.2050    xs16_6ik8a52z065         19              1
16.1682    xs16_8k9bkk8zw23         999             1
16.1912    xs16_at16426z32          19              1
16.1711    xs16_c8idik8z023         18              1
16.3134    xs16_c9jzw122c826        17              1
16.2317    xs16_cik8a52z641         16              1
16.1970    xs16_ckw3lozw1243        999             1
16.943     xs16_gilla4z56           999             1
16.821     xs16_o8blgozw56          999             1
16.2861    xs16_ol3zw343146         17              1
16.3164    xs16_wo443146zbd         17              1
16.2784    xs16_woe12koz6221        999             1
EDIT3: The above list looks like it could be useful...
Thanks, this list is very useful. I've done the first two not yet synthesised at all.

16.761 in 10 gliders:

Code: Select all

x = 105, y = 34, rule = B3/S23
65bo$63bobo$64b2o9$13bo$11bobo$12b2o$42b2o28b2o26b2o$13b3o25bo2bo26bo
2bo24bob3o$13bo7bo5bo14bobo27bobo24bo4bo$14bo4b2o4b2o16bo29bo26b4o$20b
2o4b2o74bo$46bo29bo27bo$45bobo27bobo25b2o$4bo39bo2bo26bo2bo$5bo29bo9b
2o18bo9b2o$3b3o28bobo27bobo$34bobo27bobo$3o32bo10b2o17bo10b2o$2bo9bo
33b2o28b2o$bo10b2o50bo$11bobo49b2o$63bobo2$23b2o$22b2o$24bo!
16.157 in 9 gliders:

Code: Select all

x = 35, y = 41, rule = B3/S23
33bo$32bo$32b3o13$19bo$17b2o$18b2o4$19bo$18b2o$18bobo$14b2o$14bobo$6bo
7bo$6bobo$6b2o3b3o$13bo$12bo4b2o$2o15bobo$b2o14bo$o5$7b2o$8b2o$7bo!

AbhpzTa
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Location: Ishikawa Prefecture, Japan

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

Post by AbhpzTa » February 4th, 2017, 7:36 pm

Goldtiger997 wrote:16.761 in 10 gliders:

Code: Select all

x = 105, y = 34, rule = B3/S23
65bo$63bobo$64b2o9$13bo$11bobo$12b2o$42b2o28b2o26b2o$13b3o25bo2bo26bo
2bo24bob3o$13bo7bo5bo14bobo27bobo24bo4bo$14bo4b2o4b2o16bo29bo26b4o$20b
2o4b2o74bo$46bo29bo27bo$45bobo27bobo25b2o$4bo39bo2bo26bo2bo$5bo29bo9b
2o18bo9b2o$3b3o28bobo27bobo$34bobo27bobo$3o32bo10b2o17bo10b2o$2bo9bo
33b2o28b2o$bo10b2o50bo$11bobo49b2o$63bobo2$23b2o$22b2o$24bo!
16.157 in 9 gliders:

Code: Select all

x = 35, y = 41, rule = B3/S23
33bo$32bo$32b3o13$19bo$17b2o$18b2o4$19bo$18b2o$18bobo$14b2o$14bobo$6bo
7bo$6bobo$6b2o3b3o$13bo$12bo4b2o$2o15bobo$b2o14bo$o5$7b2o$8b2o$7bo!
16.761 reduced to 9G:

Code: Select all

x = 105, y = 30, rule = B3/S23
64bo$65b2o$64b2o11$12bo$13bo29bo29bo26b2o$11b3o28bobo27bobo24bob3o$42b
obo27bobo24bo4bo$8b3o32bo29bo26b4o$10bo7bobo81bo$9bo8b2o26bo29bo27bo$
15bo3bo25bobo27bobo25b2o$4bo8bobo28bo2bo26bo2bo$5bo8b2o19bo9b2o18bo9b
2o$3b3o11bo16bobo27bobo$16bo17bobo27bobo$3o13b3o16bo10b2o17bo10b2o$2bo
43b2o28b2o$bo61b2o$63bobo$63bo!
The second one makes 16.143 , not 16.157 .
16.143 reduced to 7G:

Code: Select all

x = 92, y = 17, rule = B3/S23
20bobo$20b2o$21bo4$14b2o$14bobo56bo$6bo7bo57bo$6bobo63b3o$6b2o3b3o14b
2obo26b2obo26b2obo$13bo13bo2b2o8b2o15bo2b2o8b2o15bo2b2o$12bo4b2o9bo11b
2o16bo11b2o16bo$2o15bobo7b2ob2o25b2ob2o25b2ob2o$b2o14bo9bo2bo26bo2bo
26bo2bo$o27bobo27bobo27bobo$29bo29bo29bo!
100009436650194649 = 94649 * 1056634900001

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

Post by dvgrn » February 10th, 2017, 9:46 am

There are four 16-bitters from Calcyman's recent experiment with slow-salvo "symmetry" in Catagolue, that show up on the Useful List:

xs16_3pq3pm (?-shillelagh_siamese_snake_and_block)
xs16_4aqb96z32 (?-racetrack_siamese_carrier)
xs16_65pajkc (?-shillelagh_at_shillelagh)
xs16_o4o7picz01 (?-bookend_siamese_mango_on_beehive)

I checked the first one, and the slow salvo seems to imply at most a 10-glider synthesis plus cleanup:

Code: Select all

#C xs16_3pq3pm
#C https://catagolue.appspot.com/hashsoup/SS/h_eshr3YTELKCN_oo$oo!GSUbTbH3bFbNbQETMcG/b3s23
#C https://catagolue.appspot.com/object/xs16_3pq3pm/b3s23
#C 9E 15E -15E 31O 25O -1O -23O -27O -29E -7E 15O -11E 41E
x = 399, y = 379, rule = B3/S23
2o$2o9$14b3o$14bo$15bo26$45b3o$45bo$46bo26$58b3o$58bo$59bo26$110b2o$
109b2o$111bo26$135b2o$134b2o$136bo26$150b2o$149b2o$151bo26$167b2o$166b
2o$168bo26$193b2o$192b2o$194bo26$219b3o$219bo$220bo26$258b3o$258bo$
259bo26$298b2o$297b2o$299bo26$312b3o$312bo$313bo56$396b3o$396bo$397bo!
#C [[ AUTOFIT STEP 5 ]]
EDIT: Yes, 12 gliders is easy, and can almost certainly be improved:

Code: Select all

x = 69, y = 68, rule = B3/S23
59bo$59bobo$59b2o12$68bo$66b2o$67b2o8$35b2o$34bo2bo$34bo2bo4bo$35b2o4b
o$41b3o2$31b2o$31b2o3$45b3o$45bo$46bo2$30b2o$30b2o20$64b3o$64bo$65bo4$
3o$2bo$bo!
Probably there's something similar for the other three, given that a slow salvo "soup" guarantees an easy synthesis. And of course there are a lot more out there that might equally well produce a synthesis in the 10- to 13-glider range, that would improve on an existing higher-cost recipe...!

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

Post by BlinkerSpawn » February 10th, 2017, 12:19 pm

Second in 15, but I'm certain there's a 2G cleanup that works and better ways to make the input constellation:

Code: Select all

x = 242, y = 81, rule = B3/S23
19$233bo$233bobo$88bo144b2o$87bo66b2o$87b3o63bo2bo$148b3o3bobo43b2o$
155bo43bob3o$152bo46bo4bo$82bo69bo47b4o$80bobo69bo49bo$77b2o2b2o30bobo
88bo$33bo42bobo35b2o87b2o$31bobo44bo35bo3b2o$32b2o74b3o6b2o32b3o54b2o$
119bo36bo50bo2bo$112bo36bo5bobo49bo2bo$112bo36bo5bo2bo37b2o10b2o$82bo
29bo36bo6b2o38b2o$37b3o42bo$12bo26bo6bo35bo3bo122b2o$13b2o23bo6bobo37b
obo120b2o$12b2o3bo27bo2bo29b3o4bo2bo22b3o96bo$16b2o21b3o4b2o38b2o28bo$
16bobo20bo69bo5bobo$40bo68bo5bo2bo$109bo6b2o28b2o$147b2o6b2o45bo$146bo
8bobo43bobo$155bo45bobo$202bo!
I've seen at least 15 other ways to leave one object remaining with two gliders (two leave just the SL and a bipond!) but no luck.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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

Post by chris_c » February 10th, 2017, 2:20 pm

dvgrn wrote:There are four 16-bitters from Calcyman's recent experiment with slow-salvo "symmetry" in Catagolue, that show up on the Useful List:

xs16_3pq3pm (?-shillelagh_siamese_snake_and_block)
xs16_4aqb96z32 (?-racetrack_siamese_carrier)
xs16_65pajkc (?-shillelagh_at_shillelagh)
xs16_o4o7picz01 (?-bookend_siamese_mango_on_beehive)
I found a nice predecessor for the 17 bitter involved in the first one. It gives 16.121 in 9 gliders:

Code: Select all

#C 16.121
x = 113, y = 127, rule = B3/S23
bo$2bo$3o2$19bobo$19b2o$20bo2$23bobo$23b2o$24bo6$o105b2obo$b2o103bob2o
$2o108b2o$107b2obobo$107b2obobo$5bo105bo$6b2o$5b2o2$bo$b2o$obo$21bo$
20b2o$20bobo79$23bobo$23b2o$24bo5$6b2obo96b2ob2o$6bob2o96bob2obo$10b2o
99bo$7b2obobo94b2obo$7b2obobo94b2ob2o$11bo3$20b3o$20bo$21bo!
For the third one this happens quite often in C2_1 for 12G:

Code: Select all

#C 16.128
x = 187, y = 200, rule = B3/S23
96bo$96bobo$96b2o11$183b2o$183b2o9$67bo$65bobo$66b2o2$99b2o$99bobo$99b
o9$182b2o$182b2o11$69b2o$68bobo$70bo$23bo$21bobo$22b2o4$165bo$164bo$
164b3o47$69bo44bo$70b2o41bo$69b2o42b3o3$83b2o$83b2o10$181b2obo$180bo2b
2o$180b2o3b2o$182b2o2bo$182bob2o10$82b2o$82b2o3$51b3o42b2o$53bo41b2o$
52bo44bo47$3o$2bo$bo4$143b2o$143bobo$143bo!
For the fourth I got an 8 glider synth but maybe the junk from Century + Glider can be obtained directly from 3G for 7G in total...

Code: Select all

#C 16.643
x = 133, y = 212, rule = B3/S23
127b2o$126bo2bo$25b3o99b2o$27bo$26bo$29b3o$29bo$30bo93$27b2o$26bo2bo$
27b2o4$129b2o$122bo6bobo$121bobo3bobo2bo$121b2o3bobobobo$126bobob2o$
127bo7$12b2o$13b2o$12bo6$6b2o$5bobo$7bo$b2o$obo29b2o6b3o$2bo29bobo5bo$
32bo8bo69$14bo$15bo$13b3o3$29b2o98b2o$22bo6bobo97bobo$21bobo3bobo2bo
94bobo2bo$21b2o3bobobobo93bobobobo$26bobob2o94bobob2o$27bo99bo!
BlinkerSpawn wrote:Second in 15, but I'm certain there's a 2G cleanup that works and better ways to make the input constellation
This one was already done by Goldtiger/AbhpzTa a few posts back.

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Goldtiger997
Posts: 762
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Re: 16 in 16: Efficient 16-bit Synthesis Project

Post by Goldtiger997 » February 10th, 2017, 11:23 pm

16.150 in 7 gliders from a D2_+2 soup:

Code: Select all

x = 26, y = 28, rule = B3/S23
25bo$23b2o$24b2o8$14bo$bo11bo$2bo10b3o$3o3$13bo$11b2o$12b2o2b3o$16bo$
17bo4$12bo$7b3obo$9bob3o$8bo!
16.1752 in 10 gliders using a bakery and bad cleanup:

Code: Select all

x = 58, y = 75, rule = B3/S23
55bo$55bobo$55b2o25$16bo$17bo$15b3o$19bo$18bo$18b3o6$22bo$21bo$21b3o$
25b3o$25bo$7bo18bo$5b2o$6b2o4$5b2o$bo2b2o$2bo3bo$3o6$53b2o$53bobo$53bo
12$34b3o$34bo$35bo!

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yootaa
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Location: Japan

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

Post by yootaa » February 11th, 2017, 1:54 am

16.1704 in 10 griders:

Code: Select all

x = 49, y = 36, rule = B3/S23
11bobo$12b2o$12bo2$bo24bobo$2bo23b2o$3o24bo2$10bo$11b2o$10b2o10$44b2o$
17bo25bobo$17bobo22bo2bob2o$17b2o24b3o2bo$20b2o24bo$10b2o8bobo22bo$9bo
bo8bo24b2o$11bo2$4b2o6b3o$3bobo6bo$5bo7bo2$33b2o$33bobo$33bo!
And 16.821... Is it useful?

Code: Select all

x = 16, y = 26, rule = B3/S23
bo$bo$bo5$3b3o2$13bobo$12bo2bo$12bo2bo$13b2o$b2o$o2bo$o2bo$obo2$10b3o
5$14bo$14bo$14bo!
EDIT: 16.839 and 16.854 have already be synthesized by mniemiec:

Code: Select all

#N 16-839.rle
#O Mark D. Niemiec's life synthesis database, Thu Feb 19 02:00:57 2015
x = 73, y = 22, rule = B3/S23
51bo$51bobo$51boo$44bo$43bo$obo40b3o$boo$bo38bobo26bx$28bx12boo5bo6boo
11bxbx$8bo18bxbx11bo5bobo4boo6bo4bxbx$6boo20bxx6b3o9boo6bo4bo5bxbxbx$
7boo21bxx6bo4bo6boo9b3o4bxbxbx$30bxbx4bo6boo4bobo5bo11bxbx$31bx11boo6b
o5boo10bxbx$4bo3boo47bobo10bx$4booboo$3bobo3bo44b3o$56bo$55bo$47boo$
46bobo$48bo!
http://codercontest.com/mniemiec/16/16-839.rle

Code: Select all

#N 16-854.rle
#O Mark D. Niemiec's life synthesis database, Thu Feb 19 02:00:57 2015
x = 148, y = 49, rule = B3/S23
78bo$79bo$77b3o$12bo18bobo3bobo21byy18boo$10boo20boo4boo20bybby16bobbo
$11boo19bo5bo22byy18boo$35boo$34bobo$obo3bo14bxx3bx9bo4boo3bo15bxx18b
oo18bxx18boo18bxx$booboo14bxbbxbxbx12bobbobobo12bxbbxbbx13bobbobbo13bx
bbxbbx13bobbobbo13bxbbxbbx$bo3boo13bxxbxbxx13booboboo13bxxbxbxbx12boob
obobo12bxxbxbxbx12boobobobo3bo8bxxbxbxbx$21bxbx17bobo8boo7bxbxbbxx13bo
bobboo13bxbxbbxx13bobobbooboo10bxbxbbx$bbo13boo3bxbx17bobo7boo8bxbx17b
obo17bxbx17bobo6boo9bxbx$boo12boo5bx19bo4b3o3bo8bx19bo19bx19bo19bx$bob
o13bo31bo82b3o$48bo83bo$133bo14$118bo$119bo$117b3o12bo$71bobo3bobo11bo
9byy18boo8bo$48bobo21boo4boo11bobo6bybby16bobbo7b3o$49boo21bo5bo12boo
8byy5byy11boo5boo$49bo25boo30bybby16bobbo$51bo15bx6bobo10bo20byy18boo$
41boo3bo3bo10bxx3bxbx7bo4boo3bobo13bxx18boo18bxx$40bobbobobobb3o7bxbbx
bxbx12bobbobobo12bxbbxbbx13bobbobbo13bxbbxbbx$40booboboo13bxxbxbxx13b
ooboboo3bobo7bxxbxbxbxbyy9booboboboboo9bxxbxbxbx$41bobo17bxbx17bobo6b
oo9bxbxbbxxbyy10bobobbooboo10bxbxbbxx$41bobo17bxbx17bobo7bo9bxbx17bobo
8boo7bxbx$42bo19bx19bo19bx19bo9bobo7bx$132bo$$90boo$89boo$91bo!
http://codercontest.com/mniemiec/16/16-854.rle

There may be other examples like this.

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

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

Post by Goldtiger997 » February 11th, 2017, 2:33 am

yootaa wrote:...
And 16.821... Is it useful?

Code: Select all

x = 16, y = 26, rule = B3/S23
bo$bo$bo5$3b3o2$13bobo$12bo2bo$12bo2bo$13b2o$b2o$o2bo$o2bo$obo2$10b3o
5$14bo$14bo$14bo!
Yes it is. 16.821 in 14 gliders:

Code: Select all

x = 46, y = 68, rule = B3/S23
o$b2o$2o19$15bo$15bobo$15b2o$8bo$9b2o3bo$8b2o5bo$13b3o2$30bo$31bo3b3o$
29b3o3bo$13bo22bo$11bobo18b2o$12b2o18bobo$9bo22bo$10bo3b3o$8b3o3bo$15b
o2$30b3o$30bo5b2o$31bo3b2o$37bo$29b2o$28bobo$30bo19$44b2o$43b2o$45bo!

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

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

Post by BlinkerSpawn » February 11th, 2017, 10:25 am

yootaa wrote:16.1704 in 10 griders:

Code: Select all

x = 49, y = 36, rule = B3/S23
11bobo$12b2o$12bo2$bo24bobo$2bo23b2o$3o24bo2$10bo$11b2o$10b2o10$44b2o$
17bo25bobo$17bobo22bo2bob2o$17b2o24b3o2bo$20b2o24bo$10b2o8bobo22bo$9bo
bo8bo24b2o$11bo2$4b2o6b3o$3bobo6bo$5bo7bo2$33b2o$33bobo$33bo!
That's a quite nice B inserter but you didn't need it.
In 9:

Code: Select all

x = 49, y = 41, rule = B3/S23
11bobo$12b2o$12bo2$bo24bobo$2bo23b2o$3o24bo2$10bo$11b2o$10b2o10$44b2o$
17bo25bobo$17bobo22bo2bob2o$17b2o24b3o2bo$20b2o24bo$20bobo22bo$20bo24b
2o7$33b2o$33bobo$33bo3$8b3o20b2o$10bo19b2o$9bo22bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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

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

Post by AbhpzTa » February 11th, 2017, 11:34 am

BlinkerSpawn wrote:
yootaa wrote:16.1704 in 10 griders:

Code: Select all

x = 49, y = 36, rule = B3/S23
11bobo$12b2o$12bo2$bo24bobo$2bo23b2o$3o24bo2$10bo$11b2o$10b2o10$44b2o$
17bo25bobo$17bobo22bo2bob2o$17b2o24b3o2bo$20b2o24bo$10b2o8bobo22bo$9bo
bo8bo24b2o$11bo2$4b2o6b3o$3bobo6bo$5bo7bo2$33b2o$33bobo$33bo!
That's a quite nice B inserter but you didn't need it.
In 9:

Code: Select all

x = 49, y = 41, rule = B3/S23
11bobo$12b2o$12bo2$bo24bobo$2bo23b2o$3o24bo2$10bo$11b2o$10b2o10$44b2o$
17bo25bobo$17bobo22bo2bob2o$17b2o24b3o2bo$20b2o24bo$20bobo22bo$20bo24b
2o7$33b2o$33bobo$33bo3$8b3o20b2o$10bo19b2o$9bo22bo!
6 gliders:

Code: Select all

x = 13, y = 19, rule = B3/S23
obo$b2o$bo4$o$b2o$2o4bo$5b2o$5bobo$10b2o$10bobo$10bo3$3b3o2b2o$5bob2o$
4bo4bo!
100009436650194649 = 94649 * 1056634900001

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

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

Post by gmc_nxtman » February 11th, 2017, 12:05 pm

AbhpzTa wrote: 6 gliders:

Code: Select all

x = 13, y = 19, rule = B3/S23
obo$b2o$bo4$o$b2o$2o4bo$5b2o$5bobo$10b2o$10bobo$10bo3$3b3o2b2o$5bob2o$
4bo4bo!
...how?

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

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

Post by BlinkerSpawn » February 11th, 2017, 6:07 pm

gmc_nxtman wrote:
AbhpzTa wrote: 6 gliders:

Code: Select all

x = 13, y = 19, rule = B3/S23
obo$b2o$bo4$o$b2o$2o4bo$5b2o$5bobo$10b2o$10bobo$10bo3$3b3o2b2o$5bob2o$
4bo4bo!
...how?
He simply noticed that that 3G collision was similar enough to the original reaction to work.
Good job!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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

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

Post by chris_c » February 12th, 2017, 12:47 pm

Goldtiger997 wrote: 16.1752 in 10 gliders using a bakery and bad cleanup:
I found an alternative method taking 8G:

Code: Select all

x = 40, y = 28, rule = B3/S23
38bo$37bo$37b3o5$28bobo$28b2o$29bo$4bo$5bo$3b3o3$34b3o$34bo$35bo2$26b
2o$26bobo$9b3o14bo$11bo10b2o$10bo10b2o$23bo$3o$2bo$bo!
yoota wrote:16.839 and 16.854 have already be synthesized by mniemiec
Thanks for pointing this out. I assumed that all of relevant syntheses is mniemeic's collection made their way into Bob's collection and then any that don't involve *WSS should be in my collection. I need to work out where this logic broke down. Anyway, here is a reduction of 16.854 by 1 glider:

Code: Select all

x = 119, y = 224, rule = B3/S23
19bo$18bo$18b3o95b2o$114b3obo$113bo4bo$10b3o101b4o$12bo$11bo104b2o$18b
2o96bobo$18bobo96bo$18bo4$23b2o$23bobo$23bo3$11b2o$10bobo$12bo63$34bo$
34bobo$34b2o3$36bo$36bobo$36b2o6$bo$2bo$3o3$16b2o98b2o$14b3obo95b3o$
13bo4bo94bo4bo$14b4o96b5o2$16b2o98bo$16bobo96bobo$17bo97b2o7$36b2o$35b
2o$37bo7$2b2o$3b2o$2bo75$16b2o98b2o$14b3o97b3o$13bo4bo94bo4bo$14b5o95b
5o2$16bo99bo$15bobo97bobo$15b2o99bo9$21b2o$21bobo$21bo$4b2o$5b2o$4bo!
Altogether there are 9 extras syntheses since last time:

Code: Select all

+16.821     xs16_o8blgozw56          14
+16.839     xs16_g8idicz1252         14
+16.128     xs16_65pajkc             12
+16.854     xs16_4aab9czw252         12
+16.121     xs16_3pq3pm              9
+16.643     xs16_o4o7picz01          8
+16.1752    xs16_695q84ozx121        8
+16.150     xs16_5b8ra96             7
+16.1704    xs16_4a9fg4czx32         6
Here is the updated list of expensive still lifes ordered by Catagolue frequency:

Code: Select all

16.1973    xs16_0ggm9icz1243                        16  43214
16.776     xs16_2llm853z01                          17  34628
16.1928    xs16_c88q552z311                         17  33895
16.157     xs16_330fhar                             24  12900
16.124     xs16_69ari96                             27  10365
16.1113    xs16_0gs2arz3421                         20  9193
16.2186    xs16_wml1e8z643                          20  8663
16.739     xs16_2l2s53z321                          16  8029
16.738     xs16_3lka96z121                          24  5411
16.149     xs16_5b8ri96                             17  4685
16.202     xs16_354cgn96                            27  4612
16.657     xs16_695q4ozw321                         16  4403
16.800     xs16_c8al96z311                          19  4172
16.645     xs16_caikm96zw1                          16  3993
16.131     xs16_660uhar                             32  3702
16.1706    xs16_2ege9a4zw23                         999 3655
16.663     xs16_69r4koz023                          999 2661
16.1701    xs16_4a9jc4ozx121                        999 2425
16.1856    xs16_39u06a4z32                          16  2408
16.626     xs16_69n8jdzx1                           999 2282
16.1739    xs16_g88r2qkz121                         20  2219
16.1716    xs16_4a9mk46zx121                        999 2174
16.1880    xs16_259q453z032                         25  1975
16.665     xs16_699mkiczx1                          18  1857
16.829     xs16_0md1e8z1226                         23  1475
16.142     xs16_5b8raic                             999 1465
16.641     xs16_c9baiczw32                          999 1429
16.748     xs16_39ege2z321                          17  1372
16.799     xs16_c8al56z311                          17  1176
16.642     xs16_6s1raa4zw1                          53  1101
16.228     xs16_178bp2sg                            20  1047
16.159     xs16_2egmd1e8                            21  960
16.765     xs16_4ap78cz321                          999 926
16.686     xs16_mkkb2acz1                           39  903
16.152     xs16_5b8r9ic                             999 897
16.2309    xs16_8kk31e8z641                         21  779
16.846     xs16_caab8oz0252                         999 684
16.1696    xs16_4a9mk4ozx121                        17  639
16.19      xs16_caarz39c                            18  505
16.810     xs16_ca9la4z311                          16  471
16.1992    xs16_25is0cczw65                         16  470
16.1881    xs16_259q453zw32                         19  433
16.813     xs16_c4lb8oz321                          999 425
16.834     xs16_8u15a4z1226                         25  422
16.691     xs16_co2ticz23                           999 419
16.774     xs16_69raa4z32                           21  419
16.1863    xs16_4aq32acz32                          17  381
16.360     xs16_2egu16413                           16  360
16.848     xs16_ca9b8oz0252                         18  359
16.2014    xs16_25a8kk8z0253                        17  340
16.717     xs16_31kmp3z032                          33  337
16.827     xs16_ciaj2ak8zw1                         999 329
16.1717    xs16_4aajk46zx121                        999 328
16.995     xs16_0raik8z643                          16  320
16.1722    xs16_4aq32acz032                         17  307
16.1940    xs16_c48q552z321                         999 281
16.716     xs16_3pmk46zx23                          32  272
16.265     xs16_259m861ac                           17  270
16.1757    xs16_g8idik8z123                         18  267
16.2060    xs16_69akg4czx56                         16  260
16.1773    xs16_ciarzx3213                          999 259
16.1703    xs16_4a9la8ozx121                        999 250
16.647     xs16_8k4r2pmzw1                          999 241
16.740     xs16_3l2s53z121                          16  236
16.153     xs16_4a9r8jd                             999 227
16.18      xs16_caarzbd                             19  208
16.1684    xs16_4aab9k8zx32                         19  163
16.2174    xs16_08u164koz32                         27  160
16.1768    xs16_mk461acz121                         17  157
16.353     xs16_321fgc453                           23  155
16.1740    xs16_69acga6zx32                         23  155
16.1143    xs16_ciligozw4a4                         999 154
16.668     xs16_gbq1daz121                          17  152
16.2503    xs16_ckl3zx32ac                          999 147
16.1990    xs16_8e1tazx1252                         18  143
16.144     xs16_4aar2pm                             999 141
16.1857    xs16_39u0652z32                          16  141
16.243     xs16_2egu16426                           16  138
16.2018    xs16_25a8c826zw33                        18  125
16.819     xs16_ra178cz23                           999 120
16.619     xs16_j9ajkcz11                           999 120
16.126     xs16_69ir9ic                             999 117
16.1112    xs16_0gs2arz6421                         26  114
16.822     xs16_8ehikozw56                          16  112
16.2445    xs16_ciligzx254c                         16  105
16.1787    xs16_069m4koz311                         16  104
16.1699    xs16_8e13kkozx32                         999 99
16.953     xs16_0cil56z6221                         16  98
16.1991    xs16_8e1qbzx1252                         17  97
16.1929    xs16_0g5r8b5z121                         16  94
16.213     xs16_35861tic                            23  89
16.15      xs16_178c1f84c                           17  83
16.2295    xs16_0g8go8brz23                         24  74
16.1755    xs16_696o8a6z032                         999 73
16.921     xs16_ghn831e8z1                          16  73
16.155     xs16_3pabp46                             18  72
16.634     xs16_ca9diczw32                          999 71
16.1694    xs16_4a5p6o8zx121                        19  65
16.2347    xs16_g8861acz0db                         28  64
16.628     xs16_kc32qkz0113                         28  62
16.1847    xs16_39c8a52z033                         17  62
16.1954    xs16_8kk31e8z065                         21  61
16.731     xs16_3iajkcz23                           28  57
16.836     xs16_4aajkczx56                          20  57
16.833     xs16_0mp2sgz1243                         20  56
16.616     xs16_i5pajoz11                           17  53
16.640     xs16_c9bkkozw32                          999 49
16.801     xs16_08eharz321                          19  43
16.1904    xs16_8u164koz32                          32  41
16.1743    xs16_696o8a6zw32                         999 39
16.795     xs16_c87p46z311                          53  39
16.230     xs16_178jd2ko                            19  39
16.927     xs16_4akgf9zw65                          18  38
16.2132    xs16_0g8it2sgz23                         17  38
16.804     xs16_c871arzx32                          999 36
16.313     xs16_3pm44og4c                           35  36
16.1754    xs16_695m88czx23                         999 35
16.1691    xs16_4a9l6o8zx121                        999 35
16.1106    xs16_0iu0dbz641                          25  35
16.2201    xs16_0ggml96z641                         18  32
16.442     xs16_0cai3z4aip                          17  32
16.1304    xs16_0okih3zc8421                        16  32
16.312     xs16_62s53zbd                            29  31
16.1391    xs16_ca168ozc8421                        16  31
16.1976    xs16_g8861acz1156                        999 29
16.929     xs16_3iaj2ak8zw1                         999 28
16.2541    xs16_g8861aczc93                         28  28
16.1994    xs16_0g9fgka4z121                        16  28
16.1846    xs16_25a8c93zw33                         23  27
16.623     xs16_o5r8jdz01                           27  23
16.227     xs16_5b8r5426                            17  23
16.856     xs16_kc32acz1252                         16  23
16.914     xs16_8kkja952zx1                         18  22
16.1791    xs16_03lkaa4z3201                        20  19
16.1096    xs16_ckjaa4z641                          18  19
16.1702    xs16_4a5p68ozx121                        23  18
16.1464    xs16_08o696z6ip                          16  18
16.706     xs16_39s0qmz023                          24  17
16.1766    xs16_kc321e8z123                         16  17
16.101     xs16_0c9jzi5dz11                         21  15
16.621     xs16_g5r8jdz11                           25  14
16.723     xs16_i5p64koz11                          20  14
16.350     xs16_312461tic                           16  14
16.2219    xs16_0oe12koz643                         16  14
16.1962    xs16_4a9eg8ozw65                         999 13
16.1723    xs16_4ap64koz032                         999 13
16.2820    xs16_wmk4871z643                         25  13
16.1034    xs16_3lkaa4z065                          24  13
16.915     xs16_0gs2pmz1243                         20  12
16.1790    xs16_178cia4z0321                        18  12
16.803     xs16_c9bk46z311                          17  12
16.278     xs16_32qj43146                           29  11
16.1323    xs16_031e8gzc9311                        29  11
16.786     xs16_3pa3ia4zw11                         28  11
16.724     xs16_j5o64koz11                          16  11
16.177     xs16_25b8r54c                            16  11
16.1758    xs16_4a4o796zw121                        17  10
16.996     xs16_2lm853z056                          16  9
16.2546    xs16_j9cz122c84c                         16  9
16.2542    xs16_g88c871zc93                         16  9
16.682     xs16_69j0j9czx11                         999 8
16.1018    xs16_3p6o8ge2zw1                         27  8
16.3163    xs16_wo443123zbd                         17  8
16.1115    xs16_08kaarz6221                         17  8
16.838     xs16_ci9b8ozw56                          16  8
16.2302    xs16_4ap6413z65                          16  8
16.695     xs16_5b8bl8zx32                          25  7
16.872     xs16_2lla8oz065                          20  7
16.1995    xs16_cik8a52z065                         18  7
16.1127    xs16_giligoz104a4                        32  6
16.1680    xs16_8e123ckzx311                        17  6
16.2630    xs16_31e8gzxo9a6                         16  6
16.2322    xs16_raak8zx1252                         16  6
16.147     xs16_32qjap3                             32  5
16.3227    xs16_31e8gzy012ego                       27  5
16.1753    xs16_695q4gozw23                         21  5
16.772     xs16_3h4e1daz011                         16  5
16.2547    xs16_j9cz122c826                         16  5
16.151     xs16_64kr2pm                             999 4
16.778     xs16_69la8oz321                          36  4
16.591     xs16_1784cggc4go                         27  4
16.713     xs16_o8bap3z23                           24  4
16.3066    xs16_4a9jzx12ego                         23  4
16.926     xs16_3iajc4gozw1                         21  4
16.2058    xs16_69akg4czx146                        20  4
16.106     xs16_31246116853                         17  4
16.2805    xs16_0gs2c871z641                        16  4
16.2029    xs16_25ao4a4z2521                        16  4
16.1967    xs16_o86178cz056                         16  4
16.944     xs16_gjlka4z56                           999 3
16.890     xs16_696ki6zw641                         999 3
16.889     xs16_696ki6zx65                          999 3
16.1861    xs16_4ap64koz32                          999 3
16.1685    xs16_c48n98czx23                         999 3
16.842     xs16_cila8oz065                          34  3
16.354     xs16_35s26zbd                            29  3
16.828     xs16_4alhe8z0641                         28  3
16.358     xs16_321fgc2ko                           19  3
16.1911    xs16_69q3213z32                          18  3
16.1107    xs16_02egdbz2521                         18  3
16.1105    xs16_gie0dbz146                          18  3
16.1882    xs16_259m453zx23                         17  3
16.1867    xs16_069q453z311                         17  3
16.762     xs16_jhke1e8z1                           16  3
16.2305    xs16_6413ia4z6421                        16  3
16.2030    xs16_0i5q8a52z121                        16  3
16.1710    xs16_4a9bk46zx32                         16  3
16.1080    xs16_3lo0kcz3421                         16  3
16.2096    xs16_wck5b8oz311                         999 2
16.1094    xs16_cila8oz641                          40  2
16.349     xs16_35s26z39c                           35  2
16.220     xs16_3123qajo                            29  2
16.1901    xs16_08obap3z32                          25  2
16.300     xs16_9fg4czbd                            23  2
16.875     xs16_4a5pa4z2521                         18  2
16.380     xs16_4a40vh248c                          17  2
16.840     xs16_c8idiczw56                          16  2
16.771     xs16_69qb8oz32                           16  2
16.2862    xs16_08u16413z65                         16  2
16.2204    xs16_0gilla4z641                         16  2
16.1720    xs16_4a4o79ozx121                        16  2
16.1675    xs16_xj96z0mdz32                         16  2
16.943     xs16_gilla4z56                           999 1
16.2784    xs16_woe12koz6221                        999 1
16.1979    xs16_4ap30ga6zw121                       999 1
16.1970    xs16_ckw3lozw1243                        999 1
16.1682    xs16_8k9bkk8zw23                         999 1
16.712     xs16_3pc0qmzw23                          48  1
16.1721    xs16_64kb2acz032                         35  1
16.218     xs16_3pajc48c                            33  1
16.185     xs16_32qk5b8o                            30  1
16.930     xs16_3iaj21e8zw1                         25  1
16.825     xs16_4alhe8zw65                          25  1
16.1064    xs16_39m88cz6221                         24  1
16.2313    xs16_08u16853z32                         23  1
16.1073    xs16_3lkaa4z641                          20  1
16.745     xs16_39qb8oz32                           19  1
16.2162    xs16_0at16426z32                         19  1
16.2050    xs16_6ik8a52z065                         19  1
16.1912    xs16_at16426z32                          19  1
16.2480    xs16_3iaczw1139c                         18  1
16.2447    xs16_0g8it248cz23                        18  1
16.2025    xs16_069q48cz2521                        18  1
16.1711    xs16_c8idik8z023                         18  1
16.843     xs16_4a9liczx56                          17  1
16.3164    xs16_wo443146zbd                         17  1
16.3134    xs16_c9jzw122c826                        17  1
16.2861    xs16_ol3zw343146                         17  1
16.2694    xs16_4ai3gzx11mq                         17  1
16.1715    xs16_64p784czw23                         17  1
16.593     xs16_3123c48gka4                         16  1
16.2699    xs16_08o6413zrm                          16  1
16.2460    xs16_0o861aczc452                        16  1
16.2317    xs16_cik8a52z641                         16  1
16.1864    xs16_31ke1e8z032                         16  1
16.1085    xs16_3h4e12koz011                        16  1
16.104     xs16_0j5ozj4pz11                         16  1

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

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

Post by BlinkerSpawn » February 12th, 2017, 1:11 pm

16.157:

Code: Select all

x = 13, y = 27, rule = B3/S23
9bo2bo$10bobo$10b3o3$7bobo$6bo2bo$6bo3bo$6bo2bo$7b3o6$b2o$o2bo$b2o7$2b
2o6bo$2b2o5bobo$10bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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