ConwayLife.com

Posted: **December 29th, 2017, 3:46 pm**

chris_c wrote:
dvgrn wrote:Has anyone sorted out a number of gliders for a complete synthesis? The Glider synthesis entry on the LifeWiki has an awkward question mark in the summary table.
I managed to get rid of the still life on the right. The three marked gliders were found via a script with the goal that they should make the red cells after 18 generations. The other two gliders were found manually. Patient tweaking of these may result in more reduction...

Well, that's already a huge improvement, and it gives us an official synthesis of 25P3H1V0.2, safely before the end of 2017:

Code: Select all

x = 673, y = 39, rule = B3/S23
3bo$4bo$2b3o652bo$15bo640bo$14bo65bo13bo561b3o$14b3o61bobo13bobo151bo
399bo$bo77b2o13b2o150bobo400b2o$2bo244b2o399b2o$3o639bo$640bobo16bo$
185bo151bo303b2o17b2o$184bo70b3o77b2o322b2o$184b3o68bo35bo39bo4b2o34b
2o38b2o38b2o38b2o38b2o38b2o38b2o38b2o$256bo34bo39bo39bo2bo36bo2bo36bo
2bo36bo2bo36bo2bo36bo2bo36bo2bo22bo13bo2bo$47bo39bo203bo39bo39bobo37bo
bo37bobo37bobo37bobo37bobo37bobo24b2o11bobo12bobo$8b3o35bobo37bobo38b
2o38b2o38b2o38b2o38b2o38b2o38b2o3bo34b2o3bo34b2o3bo34b2o3bo34b2o3bo34b
2o3bo34b2o3bo24b2o8b2o3bo13b2o$10bo36bobo37bobo37bobo37bobo37bobo37bob
o37bobo37bobo37bobo37bobo8bobo26bobo37bobo37bobo37bobo37bobo37bobo17bo
$9bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo8b2o29bo39bo39bo39bo39bo
39bo$14b2o32b2obo36b2obo36b2obo36b2obo36b2ob2o35b2ob2o35b2ob2o35b2ob2o
35b2ob2o35b2ob2o6bo28b2ob2ob2o32b2ob2ob2o32b2ob2ob2o32b2ob2ob2o32b2ob
2ob2o32b2ob2ob2o$14bobo30bo2b2o35bo2b2o35bo2b2o35bo2b2o35bo2bobo34bo2b
obo34bo2bobo34bo2bobo34bo2bobo34bo2bobo3bo30bo2bobob2o31bo2bobob2o31bo
2bobob2o31bo2bobob2o31bo2bobob2o31bo2bobob2o$14bo31bobo37bobo37bobo37b
obo37bobo37bobo37bobo37bobo37bobo37bobo6b2o29bobo37bobo37bobo37bobo37b
obo37bobo$47bo39bo39bo39bo39bo39bo39bo39bo39bo39bo7bobo29bo39bo39bo9b
2o28bo9b2o28bo9b2o28bo9b2o5b2o$537b2o38b2o38b2o38b2o5bobo$499b2o163bo
5b2o$13b2o484bobo167b2o$12b2o485bo171bo$14bo478b2o145b2o8b2o$bo490bobo
146b2o6bobo$b2o178b3o310bo86bo35bo22bo10bo5bo3b3o3b3o$obo178bo399bobo
32bobo37bobo2bo5bo$182bo398b2o33bo2bo36bo2bo2bo5bo$161bo455b2o38b2o$
161b2o$160bobo419bobo$582b2o$583bo80bo$585b3o75b2o6b2o$585bo77bobo4b2o
$586bo85bo!

36 gliders, unless I miscounted. I suspect even if that's the right number now, it won't be for very long.

Now if a synthesis for edge-repair spaceship 1 would just appear in the New Year's stocking -- or wherever such things appear -- then I could stop getting confused about which small hard-to-tell-apart c/3 spaceships are synthesizable and which aren't.

Posted: **December 29th, 2017, 4:21 pm**

dvgrn wrote:I suspect even if that's the right number now, it won't be for very long.

You were right; it's now 33:

Code: Select all

x = 593, y = 37, rule = B3/S23
577bo$14bobo559bo$14b2o560b3o$15bo152bo399bo$bo164bobo400b2o$2bo164b2o
399b2o$3o559bo$560bobo16bo$105bo151bo303b2o17b2o$104bo70b3o77b2o322b2o
$104b3o68bo35bo39bo4b2o34b2o38b2o38b2o38b2o38b2o38b2o38b2o38b2o$176bo
34bo39bo39bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo22bo13bo2bo$
211bo39bo39bobo37bobo37bobo37bobo37bobo37bobo37bobo24b2o11bobo12bobo$
8b3o36b2o38b2o38b2o38b2o38b2o38b2o38b2o3bo34b2o3bo34b2o3bo34b2o3bo34b
2o3bo34b2o3bo34b2o3bo24b2o8b2o3bo13b2o$10bo36bobo37bobo37bobo37bobo37b
obo37bobo37bobo37bobo8bobo26bobo37bobo37bobo37bobo37bobo37bobo17bo$9bo
39bo39bo39bo39bo39bo39bo39bo39bo8b2o29bo39bo39bo39bo39bo39bo$14b2o32b
2obo36b2obo36b2ob2o35b2ob2o35b2ob2o35b2ob2o35b2ob2o35b2ob2o6bo28b2ob2o
b2o32b2ob2ob2o32b2ob2ob2o32b2ob2ob2o32b2ob2ob2o32b2ob2ob2o$14bobo30bo
2b2o35bo2b2o35bo2bobo34bo2bobo34bo2bobo34bo2bobo34bo2bobo34bo2bobo3bo
30bo2bobob2o31bo2bobob2o31bo2bobob2o31bo2bobob2o31bo2bobob2o31bo2bobob
2o$14bo31bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo6b2o29bobo37bob
o37bobo37bobo37bobo37bobo$47bo39bo39bo39bo39bo39bo39bo39bo7bobo29bo39b
o39bo9b2o28bo9b2o28bo9b2o28bo9b2o5b2o$457b2o38b2o38b2o38b2o5bobo$419b
2o163bo5b2o$13b2o404bobo167b2o$12b2o405bo171bo$14bo398b2o145b2o8b2o$bo
410bobo146b2o6bobo$b2o98b3o310bo86bo35bo22bo10bo5bo3b3o3b3o$obo98bo
399bobo32bobo37bobo2bo5bo$102bo398b2o33bo2bo36bo2bo2bo5bo$81bo455b2o
38b2o$81b2o$80bobo419bobo$502b2o$503bo80bo$505b3o75b2o6b2o$505bo77bobo
4b2o$506bo85bo!

Posted: **December 29th, 2017, 4:25 pm**

Nice job! I started making a different, more inefficient synthesis before you posted a complete one, but finished after:

Code: Select all

x = 164, y = 165, rule = B3/S23
148bo$147bo$147b3o$11bo$12b2o$11b2o$5bo$3bobo16bo$4b2o17b2o$22b2o2$o$b
2o154bobo$2o155b2o$158bo21$120bo$119bo$119b3o6$49bobo$50b2o72bo$50bo
67bo5bobo$118bobo3b2o$118b2o5$128bobo$128b2o$129bo4$59bo29bo$57bobo29b
obo$58b2o29b2o2$70bo$71bo$69b3o$82bo16bo$81bo16bo$81b3o14b3o$68bo$69bo
$67b3o7$75b3o$77bo$76bo$81b2o$81bobo$81bo4$80b2o$79b2o$81bo$68bo$68b2o
$67bobo6$95b3o9b2o$95bo10b2o$96bo11bo$61bo$61b2o$60bobo12$115b2o$115bo
bo$115bo3$121b2o$121bobo$121bo18$38b2o$39b2o$38bo2$137b3o$137bo$138bo
2$155b2o$155bobo$155bo5b2o$160b2o$162bo$3b2o8b2o$4b2o6bobo$3bo10bo137b
3o3b3o$152bo5bo$153bo5bo5$155bo$154b2o6b2o$154bobo4b2o$163bo!

EDIT: Now 36 gliders for a continuous one.

Posted: **December 29th, 2017, 5:09 pm**

AforAmpere wrote:EDIT: Now 36 gliders for a continuous one.

It's getting hard to keep up. Here's that continuous synthesis tightened up a bit, with BlinkerSpawn's improvement. It could probably be squashed down some more in various ways, e.g., by replacing the southern loaf synthesis by a different three gliders.

Code: Select all

x = 98, y = 97, rule = B3/S23
82bo$80b2o$81b2o$13bo$11bobo$12b2o$4bobo$5b2o17bo$5bo16bobo$23b2o2$2bo
88bo$obo87bo$b2o87b3o5$70bo$27bo41bo$28b2o39b3o$27b2o6$74bo$68bo5bobo$
68bobo3b2o$68b2o$48bo$47bo$47b3o2$35bo$36b2o$35b2o40bo$59bo15b2o$58bo
17b2o$58b3o2$43b2o$44b2o$43bo$48bo$47b2o$47bobo4$46b2o$46bobo15bo$46bo
16b2o$63bobo$35b3o$37bo17b3o$36bo18bo$56bo$35bo$35b2o$34bobo2$65b2o$
65bobo$65bo3$71b2o$71bobo$71bo9$89bo$88b2o$88bobo3b2o$94bobo$94bo$4b2o
8bo$3bobo8b2o9bo55b2o$5bo7bobo9b2o54bobo2b2o4b2o$24bobo54bo3b2o4b2o$
87bo5bo6$87b3o5b2o$87bo7bobo$88bo6bo!

Speaking of getting out of date quickly, where did that 6-glider synthesis of the second-stage (now the first stage) 14-bitter come from?

I got my initial synthesis of xs15_0j9eg8oz121 direct from Catagolue's shiny new "Obtainable from here" link, and I jumped there directly using biggiemac's second script.

I was so proud of my efficiency and up-to-date-itude for a moment there (sigh)... and now I'm back to my comfortable out-of-date feeling again.

So now chris_c's synthesis-generator data must be in need of an update -- or at least my packaged-up-to-16-bits edition of it, but it looks like the Github site hasn't seen any changes since May.

Posted: **December 29th, 2017, 5:48 pm**

dvgrn wrote:Speaking of getting out of date quickly, where did that 6-glider synthesis of the second-stage (now the first stage) 14-bitter come from?

I realized the tub part wasn't needed, so I looked at the synthesis for the 15-bitter and figured I'd add another glider to remove the extra bit and make it a normal hook.
After trying a few locations of the extra glider I realized I could replace the 3G part with the 2G spark and get the hook.
tl;dr I didn't get it from anywhere.

Posted: **December 29th, 2017, 6:18 pm**

BlinkerSpawn wrote:
dvgrn wrote:Speaking of getting out of date quickly, where did that 6-glider synthesis of the second-stage (now the first stage) 14-bitter come from?
I realized the tub part wasn't needed, so I looked at the synthesis for the 15-bitter and figured I'd add another glider to remove the extra bit and make it a normal hook.
After trying a few locations of the extra glider I realized I could replace the 3G part with the 2G spark and get the hook.
tl;dr I didn't get it from anywhere.

Code: Select all

x = 23, y = 28, rule = B3/S23
14bobo$14b2o$15bo$bo$2bo$3o6$22bo$8b3o9b2o$10bo10b2o$9bo$14b2o$14bobo$
14bo4$13b2o$12b2o$14bo$bo$b2o17bo$obo16b2o$19bobo!

Now 32 gliders.

Repeat time 225:

Code: Select all

x = 192, y = 193, rule = B3/S23
176bo$175bo$175b3o$11bo$12b2o$11b2o$5bo$3bobo16bo$4b2o17b2o$22b2o2$o$b
2o168bo13bobo$2o169bobo11b2o$171b2o13bo2$22bo145bo$20bobo144bo$21b2o
144b3o2$154bobo14bobo2bo$154b2o15b2o3bobo$155bo16bo3b2o$23bo$24bo$22b
3o6$162bo$160b2o$161b2o24$119bobo$119b2o$68bo51bo$69bo$67b3o$60bo$61b
2o16bo$60b2o18bo$78b3o2$57bo$58bo57bo12bo$56b3o55b2o13bobo$115b2o12b2o
2$77bo$78b2o31bobo$77b2o32b2o$112bo$98bo16bo5bo$98bobo14bobob2o$98b2o
15b2o3b2o2$78bobo$79b2o$79bo5$105bo$104bo$104b3o4$87bo$87b2o$86bobo2$
98b2o$97b2o$99bo4$96b3o$96bo$97bo$79b2o$78bobo22b2o$80bo22bobo$93b2o8b
o$92bobo$94bo17b2o$96b3o13bobo$96bo15bo$97bo$117b2o$111b2o3b2o$110b2o
6bo$112bo$127b2o$126b2o$128bo3b3o$132bo$133bo$59b3o7b2o$61bo8b2o53bo5b
o$60bo8bo54b2o4b2o$124bobo3bobo6$126b2o$126bobo4b3o$126bo6bo$134bo14$
30b3o$32bo$31bo$154b2o$154bobo$154bo4$153b2o$152b2o$154bo$23bo$23b2o
135bo$22bobo134b2o$37bo121bobo$37b2o$36bobo130bo$153b2o13b2o$152b2o14b
obo$154bo$173b2o$167b2o4bobo$167bobo3bo$167bo$183b2o$183bobo$183bo5b2o
$188b2o$190bo$3b2o8b2o$4b2o6bobo$3bo10bo165b3o3b3o$180bo5bo$181bo5bo5$
183bo$182b2o6b2o$182bobo4b2o$191bo!

Posted: **December 29th, 2017, 7:04 pm**

AbhpzTa wrote:Now 32 gliders.

Repeat time 225...

Nice! I tried a different trick to place the first block, and it looks like I did pretty much the same thing with the loaf on the south side.

The alternate block placement recipe didn't turn out to help the repeat time any -- still 225, so not really worth mentioning unless someone can use that recipe after optimizing elewhere:

Code: Select all

x = 80, y = 80, rule = B3/S23
63bobo$63b2o$12bo51bo$13bo$11b3o$4bo$5b2o16bo$4b2o18bo$22b3o2$bo$2bo
57bo12bo$3o55b2o13bobo$59b2o12b2o2$21bo$22b2o31bobo$21b2o32b2o9bo$56bo
8bo$42bo22b3o$42bobo$42b2o2$22bobo$23b2o$23bo5$49bo$48bo$48b3o4$31bo$
31b2o$30bobo2$42b2o$41b2o$43bo4$40b3o$40bo$41bo$23b2o$22bobo22b2o$24bo
22bobo$47bo$61b2o$35b2o19b2o2b2o$34bobo19bobo3bo$36bo19bo$42b3o$42bo$
43bo11b2o$54b2o6b3o$56bo5bo$63bo7b2o$70b2o$72bo3b3o$76bo$77bo$3b3o7b2o
$5bo8b2o53bo5bo$4bo8bo54b2o4b2o$68bobo3bobo6$70b2o$70bobo4b3o$70bo6bo$
78bo!

Posted: **December 29th, 2017, 7:30 pm**

chris_c wrote:[...]

I managed to get rid of the still life on the right. The three marked gliders were found via a script with the goal that they should make the red cells after 18 generations. The other two gliders were found manually. Patient tweaking of these may result in more reduction:
Code: Select all
RLE

Yeah, I had just used the SL on the right as a makeshift way to create a certain boat predecessor, so that was the more logical choice to eliminate. (I had found the left half of the synthesis pretty much immediately.)

Posted: **December 29th, 2017, 10:50 pm**

dvgrn wrote:I got my initial synthesis of xs15_0j9eg8oz121 direct from Catagolue's shiny new "Obtainable from here" link, and I jumped there directly using biggiemac's second script.

I was so proud of my efficiency and up-to-date-itude for a moment there (sigh)... and now I'm back to my comfortable out-of-date feeling again.

So now chris_c's synthesis-generator data must be in need of an update -- or at least my packaged-up-to-16-bits edition of it, but it looks like the Github site hasn't seen any changes since May.

Indeed -- if anyone can extend this (e.g. with small oscillator and Small Spaceship Syntheses), then please be my guest.

Posted: **December 30th, 2017, 3:26 am**

31 gliders, slimming down the final step. Same repeat time, of course:

Code: Select all

x = 191, y = 191, rule = B3/S23
176bo$175bo$175b3o$11bo$12b2o$11b2o$5bo$3bobo183bo$4b2o181b2o$188b2o3$
171bo13bobo$171bobo11b2o$171b2o13bo2$22bo145bo$20bobo144bo$21b2o144b3o
9bo$177b2o$154bobo21b2o$154b2o$155bo$23bo$24bo$22b3o6$162bo$160b2o$
161b2o24$119bobo$119b2o$68bo51bo$69bo$67b3o$60bo$61b2o69bo$60b2o69bo$
131b3o3$116bo12bo$114b2o13bobo$115b2o12b2o2$77bo$78b2o31bobo$77b2o32b
2o9bo$112bo8bo$98bo22b3o$98bobo$98b2o2$78bobo$79b2o$79bo5$105bo$104bo$
104b3o4$87bo$87b2o$86bobo2$98b2o$97b2o$99bo4$96b3o$96bo$97bo$79b2o$78b
obo22b2o$80bo22bobo$103bo$117b2o$91b2o19b2o2b2o$90bobo19bobo3bo$92bo
19bo$98b3o$98bo$99bo11b2o$110b2o6b3o$112bo5bo$119bo7b2o$126b2o$128bo3b
3o$132bo$133bo$59b3o7b2o$61bo8b2o53bo5bo$60bo8bo54b2o4b2o$124bobo3bobo
2$57bo$57b2o$56bobo8bo$67b2o$66bobo17$30b3o$32bo$31bo$154b2o$154bobo$
154bo4$153b2o$152b2o$154bo$23bo$23b2o135bo$22bobo134b2o$159bobo$173b2o
$35bo133bo3bobo$35b2o131b2o3bo$34bobo131bobo$155b2o$154b2o$156bo10b2o$
167bobo5b2o$167bo6b2o$176bo6b2o$183bobo$183bo5b2o$188b2o$190bo$3b2o8b
2o$4b2o6bobo$3bo10bo165b3o3b3o$180bo5bo$181bo5bo2$3o$2bo$bo8b3o$12bo$
11bo!

I tried very very hard to procure a 1G "silver-bullet" cleanup but to no avail (couldn't automate the searching either because lord knows what gencols has against me). This is the quickest-recovering of the many 31-glider 2G-cleanup solutions I managed to find.

Posted: **December 30th, 2017, 10:16 am**

M. I. Wright wrote:I tried very very hard to procure a 1G "silver-bullet" cleanup but to no avail (couldn't automate the searching either because lord knows what gencols has against me). This is the quickest-recovering of the many 31-glider 2G-cleanup solutions I managed to find.

Thanks for the tip! A few minutes with the Seeds of Destruction Game was enough to dig up a 30-glider recipe, still with the same repeat time because of that awkward glider in the north-northeast:

Code: Select all

x = 188, y = 195, rule = B3/S23
173bo$172bo$172b3o$8bo$9b2o$8b2o$2bo$obo183bo$b2o181b2o$185b2o3$168bo
13bobo$168bobo11b2o$168b2o13bo2$19bo145bo$17bobo144bo$18b2o144b3o9bo$
174b2o$151bobo21b2o$151b2o$152bo$20bo$21bo$19b3o6$159bo$157b2o$158b2o
24$116bobo$116b2o$65bo51bo$66bo$64b3o$57bo$58b2o69bo$57b2o69bo$128b3o
3$113bo12bo$111b2o13bobo$112b2o12b2o2$74bo$75b2o31bobo$74b2o32b2o9bo$
109bo8bo$95bo22b3o$95bobo$95b2o2$75bobo$76b2o$76bo5$102bo$101bo$101b3o
4$84bo$84b2o$83bobo2$95b2o$94b2o$96bo4$93b3o$93bo$94bo$76b2o$75bobo22b
2o$77bo22bobo$100bo$114b2o$88b2o19b2o2b2o$87bobo19bobo3bo$89bo19bo$95b
3o$95bo$96bo11b2o$107b2o6b3o$109bo5bo$116bo7b2o$123b2o$125bo3b3o$129bo
$130bo$56b3o7b2o$58bo8b2o53bo5bo$57bo8bo54b2o4b2o$121bobo3bobo9$124b2o
$123b2o$125bo12$27b3o$29bo$28bo$151b2o$151bobo$151bo4$150b2o$149b2o$
151bo$20bo$20b2o135bo$19bobo134b2o$156bobo$170b2o$32bo133bo3bobo$32b2o
131b2o3bo$31bobo131bobo$152b2o$151b2o$153bo10b2o$164bobo5b2o$164bo6b2o
$173bo6b2o$180bobo$180bo5b2o$185b2o$187bo$2o8b2o$b2o6bobo$o10bo165b3o
3b3o$177bo5bo$178bo5bo8$180b2o$180bobo$180bo!

Or here's one with a slightly less overweighted salvo from the SE:

Code: Select all

x = 191, y = 194, rule = B3/S23
176bo$175bo$175b3o$11bo$12b2o$11b2o$5bo$3bobo183bo$4b2o181b2o$188b2o3$
171bo13bobo$171bobo11b2o$171b2o13bo2$22bo145bo$20bobo144bo$21b2o144b3o
9bo$177b2o$154bobo21b2o$154b2o$155bo$23bo$24bo$22b3o6$162bo$160b2o$
161b2o24$119bobo$119b2o$68bo51bo$69bo$67b3o$60bo$61b2o69bo$60b2o69bo$
131b3o3$116bo12bo$114b2o13bobo$115b2o12b2o2$77bo$78b2o31bobo$77b2o32b
2o9bo$112bo8bo$98bo22b3o$98bobo$98b2o2$78bobo$79b2o$79bo5$105bo$104bo$
104b3o4$87bo$87b2o$86bobo2$98b2o$97b2o$99bo4$96b3o$96bo$97bo$79b2o$78b
obo22b2o$80bo22bobo$103bo$117b2o$91b2o19b2o2b2o$90bobo19bobo3bo$92bo
19bo$98b3o$98bo$99bo11b2o$110b2o6b3o$112bo5bo$119bo7b2o$126b2o$128bo3b
3o$132bo$133bo$59b3o7b2o$61bo8b2o53bo5bo$60bo8bo54b2o4b2o$124bobo3bobo
8$57b2o$56bobo$58bo13$30b3o$32bo$31bo$154b2o$154bobo$154bo4$153b2o$
152b2o$154bo$23bo$23b2o135bo$22bobo134b2o$159bobo$173b2o$35bo133bo3bob
o$35b2o131b2o3bo$34bobo131bobo$155b2o$154b2o$156bo10b2o$167bobo5b2o$
167bo6b2o$176bo6b2o$183bobo$183bo5b2o$188b2o$190bo$3b2o8b2o$4b2o6bobo$
3bo10bo165b3o3b3o$180bo5bo$181bo5bo7$bo$b2o$obo!

Posted: **December 31st, 2017, 3:08 pm**

I got the synthesis of that p3 ship down to 26 gliders and repeat time 201. As far as guns go, 201 is not so appealing but there is a nice Herschel factory at p204 and p210 is also small.

Code: Select all

x = 173, y = 165, rule = B3/S23
155bobo$155b2o$156bo$9bo$7bobo6bo$8b2o4bobo$15b2o137bobo$154b2o$155bo$
165bobo$165b2o$166bo5$138bo$138bobo14bo$138b2o14bo$24bobo127b3o$25b2o$
25bo5$143bo$142bo$142b3o22$105bo$105bobo$105b2o$58bo$59b2o4bo$58b2o6b
2o$65b2o37bo$104bobo$104b2o$115bo$115bobo$115b2o5$89bo$87b2o$88b2o14bo
bo$76bo27b2o$74bobo28bo$75b2o3$83b2o$82bobo$84bo$92bobo$85b3o4b2o$85bo
7bo$86bo3$85bo$84b2o$84bobo2$75b2o$76b2o13b2o$75bo14b2o$92bo2$100b2o$
99b2o$101bo18b2o$119b2o$121bo$79b3o$81bo31b2o$80bo31b2o$114bo3b3o$118b
o$106bo12bo$57b3o7b2o36b2o$59bo8b2o35bobo9bo$58bo8bo48b2o$116bobo$77b
3o$79bo27b2o$78bo27b2o$108bo2$51b2o$52b2o$51bo10$33bo$33b2o$32bobo2$
136b2o$135b2o$137bo4$134b3o$134bo$135bo$25b2o$24bobo114b2o$26bo114bobo
$141bo2$150b2o$150bobo$150bo19b2o$170bobo$170bo$29b2o$30b2o131b2o$29bo
133bobo$163bo5b2o$168b2o$170bo$7b2o8b2o136b3o$8b2o6bobo136bo$7bo10bo
137bo9b3o$166bo$27b2o138bo$28b2o127b2o$27bo129bobo$157bo2$b2o$obo$2bo!

Posted: **January 9th, 2018, 11:48 am**

13 gliders for the copperhead:

Code: Select all

x = 48, y = 46, rule = B3/S23
3bo$bobo$2b2o11$28b2o$27b2o$24b2o3bo$23bobo$25bo$33b3o3b2o$35bo2b2o$
34bo5bo10$2o38bo$b2o36b2o$o38bobo2$3b2o8bo$2bobo8b2o$4bo7bobo$7b2o36b
2o$6bobo36bobo$8bo36bo$11b3o$13bo$12bo$42b3o$42bo$43bo!

but it is not suitable for a gun.

Posted: **January 9th, 2018, 1:00 pm**

2718281828 wrote:13 gliders for the copperhead...

A new record -- nice work!

2718281828 wrote:...but it is not suitable for a gun.

Sure it is. It's a valid rewindable set of three salvos, repeat time 237 --

Code: Select all

x = 177, y = 174, rule = B3/S23
2bobo$3b2o$3bo57$63bo$61bobo$62b2o21$98b2o$97b2o$84b2o13bo$83bobo$85bo
$93b3o13b2o$95bo12b2o$94bo15bo10$60b2o48bo$61b2o46b2o$60bo48bobo2$63b
2o8bo$62bobo8b2o$64bo7bobo$67b2o46b2o$66bobo46bobo$68bo46bo$71b3o$73bo
$72bo$112b3o$112bo$113bo27$157b2o$157bobo$25bo131bo$25b2o$24bobo$34b2o
132b2o$35b2o131bobo$34bo133bo10$b2o$obo165b3o$2bo165bo$169bo$4bo$4b2o
7b3o$3bobo9bo$8bo5bo160bo$8b2o164b2o$7bobo164bobo$12b2o$13b2o$12bo$
172b2o$171b2o$173bo!

-- and any valid set of salvos is suitable for a gun.

I'll certainly admit that some salvos are more suitable than others -- but these look fairly easy. Only the triangular group of three gliders in the southwest look at all tricky to build into a gun, and even that is just a matter of building the rightmost two gliders from one side, and the remaining three from the other side.

I suppose it's not suitable for a p197 gun, since the eater synthesis can't be moved later without disturbing the two-glider domino spark synthesis on the right. But that's okay. There's fairly general agreement that the cost is more important than the repeat time, so you optimize the number of gliders first and then worry about making the recipe faster if that's possible.

This recipe may be hard to improve, unless there's some other still life or two-glider active reaction that can stand in for that eater at the top...? That search may already have been done, since the eater is in gmc_nxtman's 14-glider synthesis.

EDIT: This doesn't open up any new possibilities for a cheaper fireship synthesis, does it?

Posted: **January 9th, 2018, 3:44 pm**

dvgrn wrote: EDIT: This doesn't open up any new possibilities for a cheaper fireship synthesis, does it?

The reduction by one glider can be applied in the same way to the fireship, but I don't see an obvious way for any further reduction.

The reduction also works with other 4-glider synthesis of the cap:

Code: Select all

x = 47, y = 44, rule = B3/S23
2bobo$3b2o$3bo3$24bo$24b2o$23bobo2$30b2o6b3o$30bobo5bo$11b2o17bo8bo$
10bobo$12bo3$34b2o2b2o$35b2obobo$34bo3bo10$b2o$obo$2bo2$4bo$4b2o$3bobo
$8bo36bo$8b2o34b2o$7bobo34bobo$12b2o$13b2o$12bo$42b2o$41b2o$43bo!

but the repeat time is even worse.

Posted: **January 10th, 2018, 1:47 pm**

2718281828 wrote:
dvgrn wrote:EDIT: This doesn't open up any new possibilities for a cheaper fireship synthesis, does it?
The reduction by one glider can be applied in the same way to the fireship...

Meaning, a 19-glider fireship synthesis is possible?

Offhand I'm not seeing how that would work. It doesn't look as if the five-glider synthesis of the block+beehives constellation can be used with the new recipe, because the yellow glider below would have to pass through the constellation. You can't move the construction back to let the yellow glider go by first, because there's not quite enough room for the two gliders in the NE to pass through the SE salvo:

Code: Select all

x = 107, y = 111, rule = LifeHistory
102.A.A$102.2A$103.A35$64.A$63.A$63.3A$37.A$38.A$36.3A7$62.A$61.A$61.
3A3$49.2D$49.2D2$46.2D4.2D$45.D2.D2.D2.D$46.2D4.2D6$82.A$81.2A$81.A.A
$33.2A$6.3A6.2A15.A.A23.A$8.A5.A.A17.A22.2A$7.A8.A40.A.A34.2A$94.A.A$
94.A3$7.2A62.2E$6.A.A61.2E$8.A63.E10$104.2A$104.A.A$104.A2$102.A$101.
2A$101.A.A$.A96.A$.2A94.2A$A.A94.A.A8$.2C$C.C$2.C$84.3C8.2C$84.C9.2C$
85.C10.C!

If you mirror-reflect the five gliders, everything almost works, except that the two yellow gliders below would have to pass through each other:

Code: Select all

x = 87, y = 91, rule = LifeHistory
82.A.A$82.2A$83.A21$21.E$22.E$20.3E$56.A$55.A$55.3A7$23.A$24.A$22.3A
7$39.2D$39.2D21.A$61.2A$36.2D4.2D17.A.A$35.D2.D2.D2.D$6.3A6.2A19.2D4.
2D$8.A5.A.A$7.A8.A57.2A$74.A.A$74.A3$7.2A42.2E$6.A.A41.2E$8.A43.E4$
59.2A$27.A31.A.A$27.2A30.A$26.A.A3$84.2A$84.A.A$84.A2$82.A$81.2A$81.A
.A$.A76.A$.2A74.2A$A.A74.A.A8$.2C$C.C$2.C$64.3C8.2C$64.C9.2C$65.C10.C!

So... if by some strange fluke I'm not missing anything obvious this time ... it seems as if we'll need something like an alternate recipe for the block-and-beehives constellation -- probably six gliders. And then we still end up with a 20-glider fireship recipe and might as well just stick with the recipe we have already. (?)

Posted: **January 10th, 2018, 2:29 pm**

dvgrn wrote: So... if by some strange fluke I'm not missing anything obvious this time ... it seems as if we'll need something like an alternate recipe for the block-and-beehives constellation -- probably six gliders.

Making the block and hive together with three gliders keeps us at 19 gliders in total:

Code: Select all

x = 79, y = 83, rule = B3/S23
74bobo$74b2o$75bo25$48bo$47bo$47b3o8$54bo$53b2o$53bobo2$6b3o6b2o$8bo5b
obo$7bo8bo49b2o$66bobo$66bo3$7b2o34b2o$6bobo33b2o$8bo35bo5$22b2o$23b2o
$22bo27b2o$50bobo$50bo$15b2o59b2o$14bobo59bobo$16bo59bo$50b2o$50bobo
21bo$50bo22b2o$73bobo$bo68bo$b2o66b2o$obo66bobo8$b2o$obo$2bo$56b3o8b2o
$56bo9b2o$57bo10bo!

Posted: **January 10th, 2018, 3:47 pm**

chris_c wrote: Making the block and hive together with three gliders keeps us at 19 gliders in total:

You can build the block and the two hives with 4 gliders for a total of 18:

Code: Select all

x = 79, y = 83, rule = LifeHistory
74.A.A$74.2A$75.A22$49.E$48.E$48.3E8$22.E$20.E.E$21.2E$54.A$53.2A$53.
A.A2$6.3A6.2A$8.A5.A.A$7.A8.A49.2A$66.A.A$66.A3$7.2A34.2A$6.A.A33.2A$
8.A35.A6$52.3E$25.2E25.E$26.2E25.E$25.E$76.2A$76.A.A$76.A2$74.A$73.2A
$73.A.A$.A68.A$.2A66.2A$A.A66.A.A8$.2A$A.A$2.A$56.3A8.2A$56.A9.2A$57.
A10.A!

EDIT: A two-sided solution that might help with further improvements:

Code: Select all

x = 79, y = 83, rule = LifeHistory
74.A.A$74.2A$75.A35$54.A$53.2A$53.A.A2$6.3A6.2A$8.A5.A.A$7.A8.A49.2A$
66.A.A$66.A3$7.2A34.2A$6.A.A33.2A4.2E$8.A35.A2.2E$49.E2$27.3E$29.E$
28.E$45.2E$44.2E$46.E$27.2E$26.E.E47.2A$28.E47.A.A$76.A2$74.A$73.2A$
73.A.A$.A68.A$.2A66.2A$A.A66.A.A8$.2A$A.A$2.A$56.3A8.2A$56.A9.2A$57.A
10.A!

Posted: **January 10th, 2018, 5:07 pm**

chris_c wrote:
dvgrn wrote: So... if by some strange fluke I'm not missing anything obvious this time ... it seems as if we'll need something like an alternate recipe for the block-and-beehives constellation -- probably six gliders.
Making the block and hive together with three gliders keeps us at 19 gliders in total...

simeks wrote:You can build the block and the two hives with 4 gliders for a total of 18...

Aha, nice! As usual, the only thing better than being proven wrong is, um, being proven wrong twice.

The 19-glider recipe also happens to be two gliders closer to a two-salvo recipe. Probably that's not something anybody else cares much about, but I always liked the way these things looked. I guess it's the same 21-glider cost with the new 18-glider recipe, just with one more kickback.

Code: Select all

x = 200, y = 56, rule = B3/S23

195b2o$194b2o$196bo2$44b2o$43bobo$45bo4$168b2o5b2o$168bobo4bobo$168bo

6bo$7bo$7b2o6b2o18bo$6bobo7b2o17b2o$15bo18bobo151b2o$187b2o$189bo3$7b

2o155b3o$8b2o154bo$7bo157bo5$22b3o$24bo$23bo148b2o$171b2o$173bo$15b2o

181b2o$16b2o179b2o$15bo183bo$172b2o$171b2o22b2o$173bo21bobo$195bo$b2o

188b2o$obo188bobo$2bo188bo8$b2o$2b2o$bo177bo$178b2o8b3o$178bobo7bo$

189bo!

#C [[ AUTOSTART PAUSE 2 Y -50 THUMBNAIL THUMBSIZE 2 LOOP 800 ]]

Posted: **January 10th, 2018, 5:13 pm**

I figure it's worth noting that, on each side, the minimal 3 gliders are being used to make a domino spark. If repeat time is ever in question, however, there's probably a good way to insert that spark with Herschel conduits directly, saving four gun engines.

Posted: **January 10th, 2018, 7:47 pm**

Kazyan wrote:I figure it's worth noting that, on each side, the minimal 3 gliders are being used to make a domino spark. If repeat time is ever in question, however, there's probably a good way to insert that spark with Herschel conduits directly, saving four gun engines.

Going a small distance along that route, here is a Fireship in 15G + 2B:

Code: Select all

x = 82, y = 53, rule = B3/S23
2o78b2o$obo76bobo$2bo76bo$2b2o74b2o4$51b2o$51bobo$bo3b2o44bo23b2o3bo$b
2o2b2o12bo55b2o2b2o$2b2o15b2o6b2o49b2o$b2o15bobo7b2o49b2o$27bo36b2o$
63b2o$65bo9$51b2o$50b2o$52bo2$34b3o$36bo$8b2o25bo36b2o$7bobo38b2o22bob
o$9bo37b2o23bo$49bo$34b2o$33bobo$35bo$13b2o52b2o$12bobo52bobo$14bo52bo
8$13b2o$14b2o$13bo41bo$54b2o8b3o$54bobo7bo$65bo!

(Oooh, and just two salvos. I think dvgrn will like)

Posted: **January 10th, 2018, 9:24 pm**

Hi! This is Entity Valkyrie. I made a gun based on the synthesis of the 2-engine Cordership with a nice transparent boat:

Code: Select all

x = 615, y = 366, rule = B3/S23
606bo$604b3o$603bo$430b2o122bo48b2o$430b2o122b3o$557bo42b2o$556b2o43b
2o$433b2o71b2o92bo$433b2o71b2o$559b3o44b2o5b2o$430b2o127bo46b2o5b2o$
421b2o7b2o77b2o49bo$422bo31b3o52b2o35b2o5b2o54b2o$422bobo28b2obo89b2o
5b2o54b2o$423b2o27bo2b2o49b2o$451b6o3bo36b2o7b2o26b2o14b2o$452bo2b2o2b
obo36bo34b4o13b2o$453b3o3b2o37bob2o30b2ob3o$499bo31b3o3bo48b3o4b2o$
431bo2bo18b3o3b2o42bo25bobo5b3o43bob2obo3bo2bo$429b4o19bo2b2o2bobo39bo
26bob2ob3obo44bo9bo2b2o$435bo15b6o3bo41bo26b2o3b2o36b2o8bo3bo4bo2b2o$
429b2o2b2o17bo2b2o109b3o3bobo8b4o4b4o$453b2obo72b2o3b2o30bo7bo2b2o$
433b2o19b3o59b3o9bob2ob3obo28bobo4b2o2b2o$434b2o79bo2bo10bobo5b3o27b2o
$430bo2b2o80bo3bo11b3o3bo$441b2o71b2o2bo13b2ob3o$441b2o73bo16b4o$517b
2o15b2o$438b2o77b3o$438b2o77b3o77bo3bo$596bobobobo$515bo81b2ob2o$441b
2o71bo40bo3bo3bo3bo$441b2o71b2o39bo2bobobobo2bo$559b2ob2o29b2o9b2o$
461b2o117bo12bob4ob4obo$461bo55b2o37bo2b2ob2o2bo12bo14bo3bobo3bo$444b
2o16b3o52b2o18bo17bobo7bobo13bo12bo3bobo3bo$351b2o91b2o18bo71b2o18b2ob
2ob2ob2o10b2ob2o13b3o3b3o$351b2o182bob2o17b2o2bobo2b2o9b2obo$558bobobo
bo13bo$441b2o77b2o16b3o18bo3bo$354b2o85b2o76bo2bo16bo$354b2o166bo15bo$
444b2o73bo2bo$67bo283b2o80bobo8b2o72b2ob2o$67b3o272b2o7b2o21bo2bo55bo
2bo81bo$70bo272bo29bo4bo53bo3b2o80b2o$69b2o48bo223bobo27bo5bo52bo25b2o
$117b3o224b2o30b2ob2o76bo2bo$116bo256bo7bo50bo2b3o18bo2bo61b2o$116b2o
255bobob3o2bo49b2o22bo6bo55b2obo$166b2o206b2obob3o52b3o18bo2bo3bobo53b
o3bo13b2o$166b2o266b3o19b3o3b2o54bo2b2o13bob2o$59b2o5bo307b2obob3o137b
3o15bo2bo$59b2o4b3o305bobob3o2bo73b3o3b2o56bo11bo4bo2bo$65bo2b2o94b2o
186b3o18bo7bo73bo2bo3bobo17b2o47bobo3bo2bo$68b2o50bo5b2o35bo3bo184bo
23b2ob2o75bo6bo18bo49b2o3b3o$65b2obo52bo4b2o31bo7bo183b3o19bo5bo46b2o
28bo2bo23b3o$65b4o51bo37bo4bo4bo204bo4bo46bobo29bo2bo24bo19bobo24b2o3b
3o18b2o$67b2obo47b2o18b2o19b2o3bo3bo6b2o192bobo2bo2bo47bo32b2o45b2o24b
obo3bo2bo16bobo$64bob4o46b3o18b4o24bobo7bo194b2o52b2o7b2o71bo25bo4bo2b
o16bo$64bobo19b2o28bo3bo15b3ob2o24bo6bobo186b2o6bo62b2o67b2o33bo2bo15b
2o$65bo20b2o29b4o15bo3b3o30b2o187b2o137bobo32bob2o$121bo12b3o5bobo291b
2o63bo34b2o$74bo8b2o5b2o7b2o19b2o14bob3ob2obo213b2o75b2o62b2o7b2o$75b
2o6b2o5b2o7b2o19b2o16b2o3b2o214b2o148b2o$74b2o36bo41bo$95b2o5b2o7bo26b
2o3b2o8bo279b2o77b2o$95b2o5b2o7b3o22bob3ob2obo7b3o206b2o69b2o77b2o$
134b3o5bobo217b2o$136bo3b3o$136b3ob2o240b2o125b2o$137b4o241bo126b2o$
138b2o225b2o16b3o$365b2o18bo78b2o13bo3bo$72bo3bo78b2o307bo13bobobobo$
71bobobobo77b2o305bobo14b2ob2o$72b2ob2o285b2o77bo3bo16b2o$106bo3bo3bo
3bo39b2o202b2o76bobobobo$106bo2bobobobo2bo39b2o279bo2bobo2bo27b5o3b5o$
68b2o9b2o29b2ob2o250b2o71b2ob2ob2ob2o26bob4ob4obo$68bob4ob4obo284b2o
70bo3bo3bo3bo25b2obobobobob2o$69bo3bobo3bo27bo2b2ob2o2bo37b2o215b2o62b
o2bob2ob2obo2bo25bobobobobobo$69bo3bobo3bo26bobo7bobo36b2o214bobo65bo
7bo29b3o3b3o$70b3o3b3o28b2ob2ob2ob2o255bo4b3o60b2ob2o32bo5bo$107b2o2bo
bo2b2o237bo21b2obo55bo5bobo5bo$109bobobobo238b3o19bo2b2o56b2ob2o3b2ob
2o$110bo3bo37b2o200b3o18b6o3bo$152b2o222bo2b2o2bobo$354b4o19b3o3b2o$
353b5o$155b2o196b2obo20b3o3b2o$155b2o219bo2b2o2bobo17b2o$375b6o3bo18bo
60b2o5b2o$104bo47b2o193b2o27bo2b2o23b3o57b2o5b2o$105b2o45b2o192bobo28b
2obo25bo$104b2o18bo221bo31b3o71b2o5b2o7b2o$123bo221b2o7b2o96b2o5b2o7b
2o64bo$123b3o10b2o216b2o176b3o$134b2obo317b2o74bo$133bo2bo220b2o96b2o
17bo3bo52b2o$94b2o37bo2bo4bo215b2o114b3obo2bo10b2o$94b2o37bo2bo3bobo9b
o296b2o22bobobo13b2o$134b3o3b2o9b2o294b3ob2o26bo$151bobo200b2o76b2o13b
obob2o26b2o7b2o5b2o$134b3o3b2o212b2o76b2o11b2obo24bo3bobo8b2o5b2o$133b
o2bo3bobo334bobo$133bo2bo4bo286b2o5b2o7bo$133bo2bo21bo11b2o256b2o5b2o$
134b2obo19bo3b2o7bobo353b2o3b2o$136b2o19b6o9bo$79b2o76b3o3bo8b2o211b2o
13bo3bo80b2o40bo3bo$79b2o75b2ob2o2b2o220bo13bobobobo79bo42b3o$155bo3b
2ob2o219bobo12bo2bobo2bo79b3o39b3o$156b2o203b2o3b2o15b2o12b2ob2ob2ob2o
30b2o48bo$360b2obobob2o27bo3bo3bo3bo30bo$359b3obobob3o25bo2bob2ob2obo
2bo26b3o79b2o$358bo3b2ob2o3bo27bo7bo29bo81b2o11b2o$163b2o193bo11bo29b
2ob2o126bo$163b2o194bo9bo25bo5bobo5bo122b3o$148b2o19b2o225b2ob2o3b2ob
2o125bo$149bo19bo192b2ob2o$15bo83b2o48bobo10bo4bobo191bobobobo26b2o$
15b3o81bo50b2o9b4ob3o193bo3bo2b2o22b2o$18bo81b3o57b2obob2o228bo$17b2o
48bo34bo56b3obo2bo203b2o$65b3o92b2obobo204b2o161b2o$64bo96b4o368b2o$
64b2o96bo2$385b2o5b2o$7b2o5b2o369b2o5b2o$7b2o5b2o$25b2o53b2o291b2o5b2o
7b2o$11b2o12b3o30b2o7b2o5b2o5bo291b2o5b2o7b2o$11b2o12bo4b2o35b2o5b2o2b
3o$27b2o2bo25bobo18bo297b2o$29b2o24bo14b2o304b2o135b2o83bo$29bo21b2obo
b2o12b2o340b2o100bo81b3o$34b2o16bob2o35b2o306bo12b2o97b3o81bo$34b2o17b
o37b2o304bobo111bo34bo48b2o$353b2o42b3o9b2o5b2o128b3o$31b2o5b2o7b2o49b
ob2o86bo164b2o11b4o27bo11b2o5b2o131bo$31b2o5b2o7b2o49b2obo84b3o181bo
177b2o$185bo163b2o5b2o8bo4bo$43b2o5b2o133b2o162b2o5b2o9b2obo$43b2o5b2o
317bo229bo5b2o$182b2o414b3o4b2o$181bobo222b2o124b2o62b2o2bo$110b2o71bo
181bo3b2o35bo125bo5b2o5bo50b2o$110bo238bo14bobo3bo36b3o123b3o2b2o4bo
52bob2o$101b2o5bobo238b3o5b2o4bobo3bo39bo125bo9bo51b4o$101b2o5b2o242bo
4bo5bo4bo177b2o47bob2o$20bo3bo73b2o211bo39bo3bobo4b2o5b3o175b3o46b4obo
$18b2obobob2o6bobo61b3o211b3o36bo3bobo14bo149b2o22bo3bo28b2o19bobo$17b
o3bobo3bo6b2o62b2o214bo35b2o3bo165b2o22b4o29b2o20bo$16bo3b2ob2o3bo5bo
13bo9bo3bo38b2o210b2o229bo$16bobo7bobo19bobo6bobobobo37b2o160b2o247b2o
bo28b2o19b2o7b2o5b2o8bo$17bo9bo20b2o8b2ob2o200b2o93bobo151bob2o28b2o
19b2o7b2o5b2o6b2o$56b3o3b3o288b3o7b2o5b2o181bo36b2o$20b2ob2o30b2o7b2o
87b2o198bo2b2o4bobo5b2o182bo7b2o5b2o$19bobobobo28b3obo3bob3o27bo58b2o
111b2o43bo3b3o35b2ob4o192b3o7b2o5b2o$20bo3bo16b2o10b2o3b2ob2o3b2o25b3o
170b2o35b2o5bobo2b5o35b3o8b2o$41bobo9b3o2b2ob2o2b3o25b3o207b2o5bo8b2o
45b2o$43bo10b2o9b2o83b2o111b2o46b3o4b2o165bo16b2o$43b2o10b4o3b4o25b2o
3b2o52b2o102b2o7b2o42b2o4b2o3bo164b3o17bo$57bo5bo27b2o3b2o157bo32b2o
17b2o173bo20bobo7b2o$57bo5bo89b2o100bobo28b2obo53b2o137b2o20b2o5bo2bo$
153b2o101b2o27bo2bo54b2o165bo7b2o67b3o3b3o$127bo3b2o152bo2bo4bo216bo6b
o2bo65bo3bobo3bo$125b2obo156bo2bo3bobo35b2o7b2o5b2o132bo29bo6bo2bo65bo
3bobo3bo$12b2o92b2o17b3o135bo22b3o3b2o36b2o7b2o5b2o131b3o29bo2bo5bo30b
o3bo29bob4ob4obo$12b2o77b2o13bo17bo6bo130b5o211bo3bo30b2o5bo29bobobobo
28b2o9b2o$92bo11bobo16bo2bobobobo134bo18b3o3b2o33b2o5b2o141bob3obo34bo
bo27b2o2bobo2b2o$89b3o12b2o18b3obob2o153bo2bo3bobo32b2o5b2o142b5o35bob
o27b2ob2ob2ob2o$15b2o72bo172bo3bo18bo2bo4bo56bo168bo27bobo7bobo29b2ob
2o$15b2o107b3obob2o131b3o19bo2bo60bo198bo2b2ob2o2bo29bobobobo$123bo2bo
bobobo19b2o132b2obo59b3o219b2o16bo3bo$12b2o110bo6bo19bobo126bobo5b2o
32bobo191b2o3b2o28b2ob2o14bobo$3b2o7b2o111b3o25bo127b2o40b2o191bo5bo
24bo2bobobobo2bo10bo$4bo34b2o84b2obo152bo41bo223bo3bo3bo3bo9b2o$4bobo
32bob2o21bo62bo3b2o15b2o124b2o78bo3bo158bo3bo$5b2o33bo2bo18b3o82b2o2bo
122b2o77bobobobo158b3o$35bo4bo2bo17bo84bo4bo199b2o2bobo2b2o$34bobo3bo
2bo17b2o79b2o2b4obo119b2o43bo3bo30b2ob2ob2ob2o120b2o$35b2o3b3o99b2o3bo
2b2o119b2o42bobobobo28bobo7bobo119bo$14bo131b5o165b2ob2o30bo2b2ob2o2bo
121b3o114b2o$15bo19b2o3b3o102b3obo335bo35b2o77b2o$12bob3o17bobo3bo2bo
84bo16b2o127b2o37b3o5b3o30b2ob2o162bo$11b2o2b2o18bo4bo2bo84bobo143b2o
36bo4bobo4bo25bo2bobobobo2bo159b3o$11b2o2b2o23bo2bo84b2o181bo5bobo5bo
10b2o12bo3bo3bo3bo161bo71bobo$39bob2o99b2o150b2o16bo4bobo4bo10bobo255b
2o$15b2o22b2o59bo3bo37b2o150bo17b2o3bobo3b2o10bo256bo5bo$11bo4bo82bobo
bobo171b2o16b3o36b2o256bo7b2o$11bo4bo83b2ob2o172b2o18bo16b3o3b3o250bo
17b2ob2obo2b2o7b2o$13bobo7b2o37bo3bo504b2obo16b2obo2bo11bo$23b2o8bobo
25bobobobo29b3o5b3o37b2o361b2o39bo21bo3bo17b4o10bobo$34b2o23b2o2bobo2b
2o19bo6bo4bobo4bo22bo13b2o127b2o232b2o39b3o17bo5bo18b3o10b2o$20b2o12bo
24b2ob2ob2ob2o18b2o5bo5bobo5bo20b2o142b2o276bo16bo5bo2bo$20b2o36bobo7b
obo17bobo5bo4bobo4bo21bobo418b2o16bo7bobo11bo$59bo2b2ob2o2bo7b3o16b2o
3bobo3b2o168b2o292b4o2b2o10b2o$79bo197b2o311b2o$23b2o18bo18b2ob2o11bo
19b3o3b3o39bo6b2o416b4o2b2o$23b2o16b3o14bo2bobobobo2bo74bobo3bobo129b
2o284bo7bobo$40bo17bo3bo3bo3bo74bobo2b2o130bobo7bo3b2o271bo5bo2bo$40b
2o107bobo132bo5b2obo275bo5bo$149b2o3bo135b3o230b2o46bo3bo$20b2o107b2o
19bo115b3o20bo6bo226b2o46b2obo$20b2o105b2obo135bobo19bo2bobobobo275bo$
126bo2bo136bo2bo19b3obob2o$126bo2bo4bo20bobo109b3o319b2o$17b2o66b2o5b
2o32bo2bo3bobo20b2o109b3o19b3obob2o18b2o272b2o$17b2o12b3o51b2o5b2o33b
3o3b2o21bo108bo2bo19bo2bobobobo16bobo$33bo234bo20bo6bo17bo277b2o$20b2o
10bo40b2o5b2o7b2o36b3o3b2o89bo34b2o4bo24b3o20b2o277b2o$13bo6b2o51b2o5b
2o7b2o35bo2bo3bobo89b2o31bobo29b2obo107bo$13b2o79b2o30bo2bo4bo89b2o32b
o8bo24bo3b2o101b2o$15bo21b2o37b2o14b2obo30bo2bo33b2o92b2o7bo133b2o101b
2o65bo18b2o$13b2o21b4o32b2ob3o14bo34b2obo32bobo100b2o236bo65b3o16b2o$
12bobo20b2ob3o30bob4o15bobo17b2o15b2o34bo335b3o69bo$13bo20b3o3bo29b2ob
obo17b2o2bobo12b2o42b2o7b2o102b2o230bo70b2o$11bobo18bobo5b3o27bo2bob2o
21b2o56b2o111b2o$9bo21bob2ob3obo12b2o19b2o22bo10b2o5b2o474b2o$9bobo20b
2o3b2o14b2o12bo3b4o34b2o5b2o35b2o437b2o$66bo86b2o111b2o$32b2o3b2o10b2o
5b2o8b3o197b2o$31bob2ob3obo8b2o5b2o537b2o$32bobo5b3o113b2o437b2o$2b2o
30b3o3bo115b2o364b2o$bobo31b2ob3o65b2o414bo69b2o$bo34b4o66bo416b3o66b
2o$2o7b2o26b2o68b3o415bo$9b2o48b2o48bo$60bo197bobo312b2o3bo$12b2o43b3o
199b2o250b2o64bob2o$12b2o43bo201bo251b2o65b3o$217bo174bo181bo6bo$215b
3o172b2o110b2obo67bobobobo2bo$9b2o203bo176b2o109bob2o68b2obob3o10b2o$
9b2o154bo48b2o376bobo$165b3o406b2obob3o10bo$168bo404bobobobo2bo$167b2o
405bo6bo$117b2o459b3o18b2o9b2o$117b2o373b2o83bob2o17bobo9bobo$208b2o7b
2o5b2o267bo79b2o3bo19bob2o10bo$217b2o5b2o267bobo5b2o95bo2bo10b2o$120b
2o53b2o2b2o26bobo284b2o5b3o91b2ob2o2bobo$120b2o35b2o5b2o8b3o28bo14b2o
281b2obo88b3o5bo$157b2o5b2o15bo19b2obob2o12b2o281bo2bo$117b2o53bobo27b
ob2o297b2obo$108b2o7b2o42b2o10b4obo2bo21bo297b3o$109bo34b2o15b2o11b3ob
3o71bo248b2o$109bobo31bo2bo50b2o54b2o348b2o$110b2o32bo2bo49b2o53b2o
349b2o$140bo6bo$139bobo3bo2bo35b2o7b2o5b2o169bobo134b3o$140b2o3b3o36b
2o7b2o5b2o169b2o$372bo135bobo$140b2o3b3o33b2o5b2o317b5o$139bobo3bo2bo
32b2o5b2o316b2o3b2o$119b3o18bo6bo358b2o3b2o$119b2o23bo2bo$120bobo20bo
2bo$122bo21b2o$123b2o82bo5bo279b2o$121bobo83bo5bo279b2o$121b2o5b2o75b
4o3b4o295b2o$128b2o74b2o9b2o294bo$203b3o2b2ob2o2b3o278b2o14b3o$125b2o
41b3o3b3o26b2o3b2ob2o3b2o157bo120b2o16bo$125b2o40bo3bobo3bo26b3obo3bob
3o158bobo$167bo3bobo3bo27b2o7b2o159b2o116b2o$166bob4ob4obo27b3o3b3o
269b2o7b2o5b2o19bo$128b2o36b2o9b2o29b2ob2o272bo13bobo18bob2o$128b2o77b
obobobo271bobo10b2o19bo3bo$190b2o16bo3bo273b2o12bo18bo5bo14b2o$148b2o
20b2ob2o14bobo308bobo13bo2bo5bo15bo$148bo20bobobobo13bo312b2o11bobo7bo
15bobo$131b2o16b3o18bo3bo13b2o311b3o12b2o2b4o18b2o$131b2o18bo$516b2o2b
4o$515bobo7bo$128b2o386bo2bo5bo$128b2o389bo5bo$519bo3bo$131b2o387bob2o
$124bo6b2o388bo$124b2o$126bo17b2o358b2o$124b2o17b4o357b2o$123bobo16b3o
b2o$124bo17bo3b3o352b2o$122bobo15b3o5bobo350b2o$120bo21bob3ob2obo$120b
obo21b2o3b2o$504b2o18bo$144b2o3b2o353b2o16b3o17b2o3b2o12b2o$142bob3ob
2obo369bo19b2obobob2o12bo$140b3o5bobo370b2o17b3obobob3o11bobo14b3o3b3o
$113b2o27bo3b3o390bo3b2ob2o3bo11b2o$112bobo27b3ob2o353b2o36bo11bo25b2o
3bobo3b2o$112bo30b4o248bo105b2o37bo9bo26bo4bobo4bo$111b2o7b2o22b2o248b
o181bo5bobo5bo$120b2o272b3o146b2ob2o29bo4bobo4bo$498b2o42bobobobo29b3o
5b3o$123b2o373b2o43bo3bo$123b2o456b2ob2o$501b2o77bobobobo$501b2o78bo3b
o$120b2o172bo$120b2o171bobo$293b2o221bo3b2o$514b2obo$514b3o$513bo6bo$
512bo2bobobobo23b2o7b2o5b2o$513b3obob2o33b2o5b2o$544bobo$499b2o12b3obo
b2o21bo14b2o7b2o5b2o$498bobo11bo2bobobobo16b2obob2o12b2o7b2o5b2o$500bo
12bo6bo18bob2o41b2o$483b2o11bo17b3o23bo29b2o12b3o$482bobo10bo18b2obo
52b2o12bo4b2o$482bo12bo2b2o16bo3b2o12b2o50b2o2bo$132b2o71b4o272b2o7b2o
4b3o35b2o52b2o$132bobo69bo3bo281b2o5bo90bo$127b2o4b3o72bo321b2o5b2o54b
2o$123b4o2bo4b3o67bo2bo285b2o35b2o5b2o54b2o$123b3ob2o4b3o357b2o$132bob
o455b2o5b2o$132b2o456b2o5b2o$490b2o$490b2o$540b2o$541bo$538b3o$282bo2b
o252bo48b2o$139bo39b2o105bo300bo$138b3o31b3o4b2o101bo3bo301b3o$137b5o
29b5o6b2o99b4o303bo$136b2o3b2o27bobo3bo5b3o$137b5o28b2o3bo6b2o$137bo3b
o37b2o$138bobo38b2o$137b3o$136b2o$137bo$134b3o$134bo$186bo$185b3o$184b
5o$183b2o3b2o3$187bo$187bo2$183b2o$184bo$181b3o$181bo!

Posted: **January 10th, 2018, 9:44 pm**

chris_c wrote:Going a small distance along that route, here is a Fireship in 15G + 2B:
...
(Oooh, and just two salvos. I think dvgrn will like)

Well, I'm easily impressed by spaceship syntheses. While I'm wishing for horses, I'd also like to expand the block-and-beehives plus maybe eater-at-the-top constellation to make an N-glider seed for a copperhead or fireship. With N as small as possible but I'm not too picky.

Posted: **January 15th, 2018, 3:59 pm**

x66 with 12 gliders:

Code: Select all

x = 64, y = 39, rule = B3/S23
48bo$49bo$47b3o4$46bobo$47b2o$47bo$56bo$56bobo4bo$56b2o3b2o$62b2o2$3bo
bo$4b2o$4bo16b2o17b2o$9bo11b2o17b2o$b2o4b2o$obo5b2o$2bo18b2o17b2o2bo$
21b2o17b2o2bobo$44b2o4$62b2o$56b2o3b2o$56bobo4bo$56bo$47bo$47b2o$46bob
o4$47b3o$49bo$48bo!

The repeat time might be improved be choosing another 3glider option for the 2 blocks.
And together:

Code: Select all

x = 33, y = 43, rule = B3/S23
12bo$10bobo$11b2o3$10bo$11b2o$10b2o$25bo$24bo$24b3o3bobo$30b2o$31bo4$
3bobo$4b2o$4bo$9bo3bo$b2o4b2o3bo$obo5b2o2b3o$2bo8$31bo$30b2o$24b3o3bob
o$24bo$25bo$10b2o$11b2o$10bo3$11b2o$10bobo$12bo!

Posted: **January 17th, 2018, 4:20 am**

x66 with 12 gliders:

That was what I always imagined when I first stumbled upon the x66. Very nice!

ConwayLife.com

Small Spaceship Syntheses

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