ConwayLife.com - A community for Conway's Game of Life and related cellular automata
Home  •  LifeWiki  •  Forums  •  Download Golly

15 in 15: Efficient 15-bit Synthesis Project (DONE!)

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

15 in 15: Efficient 15-bit Synthesis Project (DONE!)

Postby BlinkerSpawn » October 27th, 2016, 7:09 pm

As of no later than 6:00 p.m. November 19th, 2016, every 15-bit still life is synthesizable in fewer than 15 gliders!
Thanks to everyone in this thread who has contributed syntheses (even just one), and a Caterpillar-sized shoutout to everyone who made Catagolue possible. :wink:
Last edited by BlinkerSpawn on November 19th, 2016, 8:29 pm, edited 59 times in total.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
User avatar
BlinkerSpawn
 
Posts: 1318
Joined: November 8th, 2014, 8:48 pm

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Goldtiger997 » October 27th, 2016, 9:31 pm

Good idea creating this thread!
Here’s 15.386 in 12G:


x = 42, y = 37, rule = B3/S23
bo$2bo$3o4$10bo$11bo25bo$9b3o23b2o$36b2o2$22bo$23b2o$22b2o$40bo$12bobo
23b2o$13b2o24b2o$13bo$20bo$21bo$19b3o7$14b3o$16bo$15bo$28bo$29b2o4b2o
2b3o$28b2o6b2obo$35bo4bo$16bo$16b2o$15bobo!
User avatar
Goldtiger997
 
Posts: 271
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby chris_c » October 27th, 2016, 9:37 pm

BlinkerSpawn wrote:Some viable reactions:


8 and 9 gliders for two of those (15.386 and 15.388?)

x = 79, y = 68, rule = Life
47bo$45b2o$46b2o11bo$57b2o$58b2o27$10b2o$9bo2bo$10b2o2$19bo$17b2o$18b
2o2$53bo$54b2o6bo$53b2o7bobo3bo$62b2o4bobo$68b2o3$56bo$57bo$15bo39b3o$
12bo2bobo$10bobo2b2o$11b2o58bobo3bo$71b2o3bo$72bo3b3o$59b3o$61bo10b2o$
60bo10b2o$73bo4$bo$b2o$obo2$27bo$26b2o$26bobo!
chris_c
 
Posts: 719
Joined: June 28th, 2014, 7:15 am

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby BlinkerSpawn » October 27th, 2016, 11:07 pm

Partial for 15.845, probably 15G:
x = 50, y = 37, rule = B3/S23
48bo$39b2o6bo$40bo6b3o$2b2o35bo$bo2bo34b2o4b2o$bo2bo30bob2o2bo3b2o$2b
3o30b2obobo$39bo2$43b3o$7b2o$7bo2bo$8b3o3$46bo$3b2o8bo23b3o5bobo$3b2o
8bo19b3o10bo$13bo2$3o$38b2o$37bobo$39bo11$20b2o$21b2o$20bo!

Hate how seemingly every occurrence in C1 appears to be due to the same R+hive+several hundred generations base reaction or an equivalent.
Also this, apparently:
x = 6, y = 8, rule = B3/S23
3bo$3o2$3bo$2bobo$b2ob2o$bo3bo$b2ob2o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
User avatar
BlinkerSpawn
 
Posts: 1318
Joined: November 8th, 2014, 8:48 pm

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Goldtiger997 » October 28th, 2016, 12:46 am

BlinkerSpawn wrote:Partial for 15.845, probably 15G:
x = 50, y = 37, rule = B3/S23
48bo$39b2o6bo$40bo6b3o$2b2o35bo$bo2bo34b2o4b2o$bo2bo30bob2o2bo3b2o$2b
3o30b2obobo$39bo2$43b3o$7b2o$7bo2bo$8b3o3$46bo$3b2o8bo23b3o5bobo$3b2o
8bo19b3o10bo$13bo2$3o$38b2o$37bobo$39bo11$20b2o$21b2o$20bo!


Well here's 13 gliders:

x = 57, y = 64, rule = B3/S23
55bo$54bo$54b3o9$27bobo$28b2o$28bo$35bo$33bobo5bo$26b2o6b2o5bobo$25bob
o13b2o$27bo8bo$36bobo$36b2o5$42bo$41bo$41b3o3$37bo$30b2o4b2o$29b2o5bob
o$31bo$26b3o12b2o$28bo12bobo$27bo13bo12$18b2o$19b2o$18bo11$3o$2bo$bo!


EDIT:

15.389 in 13 gliders:

x = 72, y = 82, rule = B3/S23
bo$2bo$3o8$45bo$45bobo$45b2o16$15bo$13bobo$14b2o$17bo$17bobo13bo$17b2o
13bo$32b3o2$46bo$44b2o$45b2o$28bobo$24bo3b2o$25b2o2bo$24b2o5$20b2o$19b
obo$21bo$29b2o$29bobo$29bo9$47b3o$47bo$48bo9$59b2o$59bobo$59bo5$69b2o$
69bobo$69bo!
User avatar
Goldtiger997
 
Posts: 271
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby mniemiec » October 28th, 2016, 7:25 am

BlinkerSpawn wrote:15.368 in 11, which may put some other SLs off the list: ...

This improves (but not sufficiently): 15.451 in 16, 15.477 and 15.497 in 17, and two P2 oscillators in 28 and 29:
x = 166, y = 69, rule = B3/S23
85bo$83bobo$47bo36boo$6bo41bo38bo$7bo38b3o38bobo3bo$5b3obbo28bo13bo33b
oo3bo$9bo30bo11bo39b3o$9b3o26b3o11b3o31bo$6bo38bobo34bo4boo$7bo33b3obb
oo32bobo3boo$5b3o35bobbo34boo$obo39bo67boo$boo7boobboo18boo14boobboo
13boo3boo14boobboo14bo3boo$bo8bobobbo13boobobbo14bobobbo13bobbobbo14bo
bobbo16bobbo$5bo5boobo14boboobo8boo6boobo16boobo9boo5boobo16boobo$5boo
6bo19bo8bobo8bo19bo9bobo7bo19bo$4bobo6bobo17bobo8bo8bobo17bobo9bo7bobo
17bobo$14boo18boo18boo18boo18boo18boo10$18bo$16bobo29bo$17boo29bobo$
48boo96bo$145bo$145b3o$$133bo$134boo$47bo34bobo48boo$45boo36boo56bo$
21bobo22boo35bo42bo12bobo$22boo10bobo54bo35boo11boo$22bo12boo51bobbobo
32boo24bo$19bo15bo50bobobboo52bo4boo$17bobo5bo12bo48boo56bobo3boo$18b
oo6boo9bo107boo$25boo10b3o$107bo29bo$106bobo27bobo$106bobbo26bobbo$
107boo28boo$123boo32boo$68boo52bobo32bobo$68bobo53bo3bobo$39boo3boo28b
oo13boo3boo13boo3boo13boo8boo3boo13bobobboo$39bobbobbo9boo13bobobbo13b
obbobbo13bobbobbo13bo9bobbobbo16bobbo$41boobo9boo15boobo16boobo16boobo
26boobo16boobo$43bo12bo16bo19bo19bo17boo10bo19bo$43bobo27bobo17bobo17b
obo16boo9bobo17bobo$44boo28boo18boo18boo15bo12boo18boo4$21boo$20bobo$
22bo3$24bo$24boo$23bobo!

BlinkerSpawn wrote:Partial for 15.845, probably 15G: ...
Goldtiger997 wrote:Well here's 13 gliders: ...

This also improves (but not sufficiently): 15.919 in 19, 15.918 in 25, plus 3 related 21-bit jams (1 < 1 glider/bit) and 5 related 20+21-bit molds (1 = 1 glider/bit) (the extra two add 4 gliders to replace the snake by a python).
x = 82, y = 25, rule = B3/S23
3bo$4boo$3boo$10bo$8boo6bo$9boo4bo$15b3o$4bo49bo$5boo46bo$4boo47b3o$b
oo12bo27bobo$obo11boo28boo4bobo$bbo6boo3bobo13boo12bo6boo7boo18boo$10b
o20bo19bo9bo19bo$9bo19bo29bo19bo$9boo18boo16bo11boo18boo$5boboobbo13bo
boobbo15boo6boboobbo15boobbo$5boobobo14boobobo15bobo6boobobo14bobbobo$
9bo19bo29bo15boobbo3$54boo$48boo3boo$47bobo5bo$49bo!
mniemiec
 
Posts: 747
Joined: June 1st, 2013, 12:00 am

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby BlinkerSpawn » October 28th, 2016, 7:55 am

mniemiec wrote:
BlinkerSpawn wrote:Partial for 15.845, probably 15G: ...
Goldtiger997 wrote:Well here's 13 gliders: ...

This also improves (but not sufficiently): 15.919 in 19, 15.918 in 25, plus 3 related 21-bit jams (1 < 1 glider/bit) and 5 related 20+21-bit molds (1 = 1 glider/bit) (the extra two add 4 gliders to replace the snake by a python).

Then why do I have 15.919 in the =1 glider per bit list?
EDIT: Four possibilities for 15.445:
obsolete

EDIT 2: 15.413 in 14:
x = 49, y = 89, rule = B3/S23
47bo$46bo$46b3o14$25bobo$25b2o$26bo26$2o$2o30bo$30b2o$8bo22b2o$8bo$8bo
2$18bo4bo$19b2obo$18b2o2b3o7$13b3o4$12bo$12bo$12bo20$31b3o$31bo$32bo!

15.402 in 7G:
x = 15, y = 19, rule = B3/S23
7b2o$6bo2bo$6bobo$7bo$o$b2o$2o10bo$11bobo$11bobo$12bo2$13b2o$12bobo$
14bo3$2bo$2b2o$bobo!
Last edited by BlinkerSpawn on October 28th, 2016, 1:32 pm, edited 2 times in total.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
User avatar
BlinkerSpawn
 
Posts: 1318
Joined: November 8th, 2014, 8:48 pm

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Goldtiger997 » October 28th, 2016, 9:28 am

BlinkerSpawn wrote:
mniemiec wrote:
BlinkerSpawn wrote:Partial for 15.845, probably 15G: ...
Goldtiger997 wrote:Well here's 13 gliders: ...

This also improves (but not sufficiently): 15.919 in 19, 15.918 in 25, plus 3 related 21-bit jams (1 < 1 glider/bit) and 5 related 20+21-bit molds (1 = 1 glider/bit) (the extra two add 4 gliders to replace the snake by a python).

Then why do I have 15.919 in the = 1 glider per bit list?


Weirdly, BobShemyakin's database has this 15 glider synthesis:

x = 160, y = 95, rule = B3/S23
131bo$132b2o$131b2o$138bo$92bo43b2o$93bo43b2o3bo$91b3o47bo$132bo8b3o$
133b2o$107bo24b2o$87bo18bo22b2o12b2o$85bobo18b3o19bobo12bobo$86b2o6bob
o20b2o11bo6b2o4bo14b2o$95b2o21bo19bo20bo$95bo4b2o15bo19bo19bo$99b2o16b
2o18b2o18b2o$101bo11bob2o2bo13bob2o2bo13bob2o2bo$95b2o10bo5b2obobo14b
2obobo14b2obobo$96b2o8b2o9bo19bo19bo$95bo10bobo6$91b2o6b2o$90bobo5b2o$
92bo7bo5$134bo$133bo$129bo3b3o$130b2o7bo$129b2o6b2o$43bobo92b2o$44b2o
52bo$44bo53bobo$51bobo44b2o2b2o$o50b2o48b2o$b2o49bo50bo15bo19bo17b2o$
2o58bo17bo19bo19bobo17bobo17bo$5bo53bo17bobo17bobo17bobo17bobo17bo$3b
2o3b3o48b3o15b2o18b2o18b2o18b2o18b2o$4b2o2bo14bob2o16bob2o10bo15bob2o
16bob2o16bob2o16bob2o16bob2o$9bo13b2obo16b2obo9b2o15b2obo16b2obo16b2ob
o16b2obo16b2obo$7bo48bobo86b2o$7b2o43b2o10bo80bobo$6bobo43bobo8b2o80bo
$52bo10bobo2$44b2o$45b2o$44bo8$140bo$139bo$129bo9b3o$130bo$128b3o2$
137bobo$137b2o$80bo57bo$67b2o11bobo14b2o15bobo10b2o28b2o$68bo11b2o16bo
16b2o11bo29bo$67bo29bo17bo11bo29bo$67b2o28b2o28b2o28b2o$63bob2o26bob2o
26bob2o15b3o8bob2o2bo$63b2obo26b2obo4bo21b2obo4bo10bo10b2obobo$100bobo
10b2o15bobo10bo13bo$100b2o10bobo15b2o$79bo18b2o14bo13b2o$78bo18bobo27b
obo$78b3o17bo17bo11bo$74b3o39b2o$74bo40bobo$75bo$130bo$119b2o7b2o$79bo
40b2o7b2o$78b2o39bo$78bobo2$126bo$125b2o$125bobo!
User avatar
Goldtiger997
 
Posts: 271
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby BlinkerSpawn » October 28th, 2016, 10:21 am

Goldtiger997 wrote:
BlinkerSpawn wrote:Then why do I have 15.919 in the = 1 glider per bit list?


Weirdly, BobShemyakin's database has this 15 glider synthesis:

rle

15.919 was listed as a 15G synthesis in mniemiec's post of Bob Shemyakin's improvements to the list.
My comment was pointed more towards the use of "improved to 19" when the current best was 15 via that method.
Also, it appears that 15.845 should never have been on the list to begin with, looking at that 9G synthesis that's the precursor to the full synthesis.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
User avatar
BlinkerSpawn
 
Posts: 1318
Joined: November 8th, 2014, 8:48 pm

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby mniemiec » October 28th, 2016, 10:26 am

BlinkerSpawn wrote:Three possibilities for 15.445: ...

One of which leads to this 9-glider synthesis:
x = 104, y = 30, rule = B3/S23
34bo$33bo$33b3o$31bo$29bobo$30boo3$38bo$37bo$37b3o$58boo18boo18boo$58b
obo17bobo17bobo$28boo30bo19bo19bo$5bo16bo6boo11bo16boboo16boboo16boboo
$4bo16bobo4bo12bobo15bobobo15bobobo15bobobo$boob3o13bobbo16bobbo16bobb
o16bobbo16bobbo$obo18boo10b3o5boo9bo8boo9bo8boo18boo$bbo30bo17bobo17bo
bo$34bo16bobbo16bobbo$52boo18boo$75boo$75bobo$75bo4$42boo$41boo$43bo!

BlinkerSpawn wrote:Then why do I have 15.919 in the =1 glider per bit list?

Oops - because I had noted that Bob had a 15-glider 15.919, but hadn't yet added it to my database.
Goldtiger997 wrote:Weirdly, BobShemyakin's database has this 15 glider synthesis: ...

The first line of that is actually based on Bob's 7-glider synthesis of 15.845, which renders BlinkerSpawn's recent 16-glider synthesis obsolete (as well as improving everything that depended on it: Bob's 21-glider 15.918 plus the 3 jams and 5 molds). The remaining lines are my earlier syntheses.
mniemiec
 
Posts: 747
Joined: June 1st, 2013, 12:00 am

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby BlinkerSpawn » October 28th, 2016, 10:29 am

mniemiec wrote:
BlinkerSpawn wrote:Three possibilities for 15.445: ...

One of which leads to this 9-glider synthesis:
x = 104, y = 30, rule = B3/S23
34bo$33bo$33b3o$31bo$29bobo$30boo3$38bo$37bo$37b3o$58boo18boo18boo$58b
obo17bobo17bobo$28boo30bo19bo19bo$5bo16bo6boo11bo16boboo16boboo16boboo
$4bo16bobo4bo12bobo15bobobo15bobobo15bobobo$boob3o13bobbo16bobbo16bobb
o16bobbo16bobbo$obo18boo10b3o5boo9bo8boo9bo8boo18boo$bbo30bo17bobo17bo
bo$34bo16bobbo16bobbo$52boo18boo$75boo$75bobo$75bo4$42boo$41boo$43bo!


I noticed that method and edited it in right before seeing this post. :lol:
There is, however, an incorrect cleanup of the loaf in there that is fixed in my edit.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
User avatar
BlinkerSpawn
 
Posts: 1318
Joined: November 8th, 2014, 8:48 pm

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby mniemiec » October 28th, 2016, 11:13 am

BlinkerSpawn wrote:15.402 in 7G: ...

The still-lifes can be made together, making this 6:
x = 70, y = 19, rule = B3/S23
37bobo$38boo$38bo3$50bo$48bobo$49boo$$28bo19bo16boo$6bo20bobo17bobo14b
obbo$4boo21bobo17bobo14bobbo$bbobboo21bo7boo10bo16booboo$obo34boo27bo
bbo$boo33bo29bobo$13bo9bo19bo23bo$13bobo6bobo17bobo$13boo7bobbo16bobbo
$23boo18boo!

BlinkerSpawn wrote:I noticed that method and edited it in right before seeing this post. :lol:

That method is basically just the previous one advanced 16 generations.
mniemiec
 
Posts: 747
Joined: June 1st, 2013, 12:00 am

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby BlinkerSpawn » October 28th, 2016, 1:28 pm

mniemiec wrote:That method is basically just the previous one advanced 16 generations.

Not constructionwise, however. The secondary method (which you did) facilitates separate construction of the blinker and the junk reaction that the junk object from the primary method decays into as opposed to direct synthesis of the first object and appropriate accompanying gliders.
mniemiec wrote:The still-lifes can be made together, making this 6:

If you tire of assimilating 15-bit SL syntheses I'd like to see an expansion of the easily-constructible constellations list for things like this.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
User avatar
BlinkerSpawn
 
Posts: 1318
Joined: November 8th, 2014, 8:48 pm

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Kazyan » October 28th, 2016, 1:34 pm

mniemiec wrote:This also improves (but not sufficiently): 15.919 in 19, 15.918 in 25, plus 3 related 21-bit jams (1 < 1 glider/bit) and 5 related 20+21-bit molds (1 = 1 glider/bit) (the extra two add 4 gliders to replace the snake by a python).


Not immediately related to the thread, but one of the early "wait, what?" mold variants in Catagolue involved a snake and python, so it's probably the one you mention. Looking over the soups, here's a way to make it in at most 9G; 8G or less is likely via constellations:

x = 30, y = 21, rule = B3/S23
5bo$4bobo$4bobo3b2o$5bo3bobo$9b2o2$2o$2o$15bobo$15b2o$16bo2$13b3o$13bo
$14bo4b3o$19bo$20bo2$28b2o$27b2o$29bo!


BlinkerSpawn wrote:If you tire of assimilating 15-bit SL syntheses I'd like to see an expansion of the easily-constructible constellations list for things like this.


Seconded.

EDIT: 15.438 in 8G; 7G very likely if that block predecessor can be made in 3 instead of 4.

x = 34, y = 37, rule = B3/S23
3bobo$4b2o$4bo2$24bobo$24b2o7bo$25bo5b2o$32b2o3$19bo$18bo$obo15b3o$b2o
$bo20bo$22bobo$22b2o4$15b3o$15bo$16bo12$24bo$23b2o$23bobo!
Tanner Jacobi
User avatar
Kazyan
 
Posts: 651
Joined: February 6th, 2014, 11:02 pm

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby BlinkerSpawn » October 28th, 2016, 2:51 pm

Kazyan wrote:EDIT: 15.438 in 8G; 7G very likely if that block predecessor can be made in 3 instead of 4.

x = 34, y = 37, rule = B3/S23
3bobo$4b2o$4bo2$24bobo$24b2o7bo$25bo5b2o$32b2o3$19bo$18bo$obo15b3o$b2o
$bo20bo$22bobo$22b2o4$15b3o$15bo$16bo12$24bo$23b2o$23bobo!

Standard 3G-edgy-block works here perfectly:
x = 19, y = 21, rule = B3/S23
7bo$7bobo$7b2o$2bo$obo$b2o15bo$8bo7b2o$8bobo6b2o$8b2o4$bobo$2b2o$2bo4b
o$7bobo$7b2o2$9bo$8b2o$8bobo!

EDIT: 15.390:
x = 38, y = 39, rule = B3/S23
35bo$35bobo$35b2o20$b2o$o2bo$b2o5$4o$o$b3o3$9b2o$7b2o2bo$3b2o2b2ob2o$
3bobob2ob2o$4bo4bo!

15.391 in 13G:
x = 120, y = 50, rule = B3/S23
24bo$23bo$23b3o$15bo$13bobo66bo$14b2o64bobo$81b2o$84b2o$84b2o3$bo$2bo$
3o$39bo$38bo$38b3o2$15bo$14bo$14b3o2$9b2o$9bobo$9bo31b2o$41bobo$41bo
76bo$13bo103bo$12b2o103b3o$12bobo99b2o$113bo2bo$114b2o$96bo$95bobo$94b
obo$94bo2b3o$95b2o2bo$97bo$97b2o$109b2o$22b2o84bo2bo$22bobo84bobo$22bo
87bo$12b3o$14bo$13bo2$116b2o$115b2o$117bo!

Not entirely sure why 15.931 is listed as 15G when 9G is easy:
x = 15, y = 19, rule = B3/S23
7bo$2bo2bobo$obo3b2o$b2o6bo$9bobo$9b2o$14bo$12b3o$11bo$4b2o6b3o$5b2o7b
o$4bo2$7b2o$7bobo$7bo$2b2o$bobo$3bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
User avatar
BlinkerSpawn
 
Posts: 1318
Joined: November 8th, 2014, 8:48 pm

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby drc » October 28th, 2016, 3:46 pm

15 replies as i'm typing this.
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)

B2-ac3i4a/S12
User avatar
drc
 
Posts: 1329
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Extrementhusiast » October 28th, 2016, 5:25 pm

15.395 in 12 gliders:
x = 54, y = 27, rule = B3/S23
2bo$obo20bo$b2o12bobo4bo$15b2o5b3o$5bo10bo$6b2o$5b2o3bobo$11b2o$11bo2$
21bo$22bo$20b3o$48bobo$6b3o4bobo4bo13bo12bob2o$8bo5b2o4b2o10b2o13bo3b
2o$7bo6bo4bobo11b2o13b2o3bo$50b3o$50bo6$16b2o11b2o$17b2o10bobo$16bo12b
o!


15.506 in 14 gliders:
x = 120, y = 25, rule = B3/S23
obo$b2o$bo4$102bo$100b2o$101b2o$36b2ob2o21b2ob2o20b2ob2o21b2ob2o$37bob
2o22bob2o3bobo15bobo2bo3b2o15bobo$10bo8bobo15bo25bo6b2o2b3o11bo3b2o3bo
bo14bo3bo$9bo9b2o17b3o23b3o4bo2bo14b3o5bo17b3obo$9b3o8bo19bo25bo8bo15b
o25bobo$70b2o46bo$11bo32bobo22bo2bo$10b2o32b2o23bo2bo21b2o2b3o$10bobo
32bo24b2o21b2o3bo$95bo3bo$45b2o$45bobo45b2o$45bo46bobo$94bo3b2o$98bobo
$98bo!


EDIT: Another 14-glider method for 15.506:
x = 111, y = 24, rule = B3/S23
71bo7bo$72b2o5bobo$71b2o6b2o$35bo17bo$35bobo15bobo22bo$35b2o16b2o21bob
o$77b2o$35bo16bo3b2o$34b2o14bobo2bo2bo46bo$13bo20bobo14b2o2bo2bo25bo
19bobo$13bobo40b2o3bo22b3o17bob3o$13b2o45bo26bo17bo3bo$5bo24b2o20b2o6b
3o21b2obo19bobo$6bo20bobobo17bobobo2b3o22bobobob2o17b2ob2o$4b3o20b2o
20b2o5bo24b2o$3o54bo$2bo24b2o20b2o30b2o$bo10b2o13b2o20b2o30b2o$12bobo$
12bo2$88bo$87b2o$87bobo!


EDIT 2: 15.473 in 14 gliders (yet again):
x = 87, y = 25, rule = B3/S23
63bo$64b2o$63b2o2$24bo9bo34bo$22bobo8bo33b2o$23b2o8b3o28bo3b2o$65b2o$
64b2o3$84bo$65bo17bobo$20bo34bo8bobo16bobo$bo18b2o6bo27b2o5bobo15b2obo
$2bo16bobo5bobo10bo14b2o5bo2bobo12bobobobo$3ob2o21bo2bo8bo22b2o2b2o13b
o3b2o$4bobo21b2o9b3o$4bo30b2o$36b2o$35bo20b3o$38b3o17bo$18b2o18bo18bo$
17bobo19bo$19bo!
I Like My Heisenburps! (and others)
User avatar
Extrementhusiast
 
Posts: 1625
Joined: June 16th, 2009, 11:24 pm
Location: USA

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby mniemiec » October 28th, 2016, 9:18 pm

BlinkerSpawn wrote:If you tire of assimilating 15-bit SL syntheses I'd like to see an expansion of the easily-constructible constellations list for things like this.

I have about a thousand of these, which will take a while to get together. At the moment, they're high up on the list of things to work on once the next (hopefully 2016) update to my web site is finished.
Kayzan wrote:one of the early "wait, what?" mold variants in Catagolue involved a snake and python, so it's probably the one you mention. Looking over the soups, here's a way to make it in at most 9G; 8G or less is likely via constellations: ...

I count 11 (unless I missed something). Thus also the carrier+python one for 17. These both reduce the corresponding 16-bit still-lifes 16.2303 and 16.2302 by 1 to 12 and 17 respectively.
x = 112, y = 23, rule = B3/S23
3bo$4boo$3boo$10bo$8boo6bo$9boo4bo$15b3o$4bo$5boo$4boo$boo12bo$obo11b
oo$bbo6boo3bobo13boo17boo18boo19boo18boo$10bo20bo18bo19bo20bo19bo$9bo
19bo19bo19bo19bo19bo$9boo18boo18boo18boo18boo18boo$7boobbo15boobbo15b
oobbo15boobbo15boobbo15boobbo$4bobobobobbo10bobobobobbo10bobobobobbo
10bobobobo13bobobobobbo10bobobobo$4boo3bo14boo3bo14boo3bo14boo3bo14boo
3bo14boo3bo$10boobo16boobo16boobo36boobo$12bo19bo19bo3b3o33bo3b3o$56bo
39bo$57bo39bo!

BlinkerSpawn wrote:15.390: ...

I've seen that thing next to the beehive before, but I can't remember what makes it. Do you remember?
mniemiec
 
Posts: 747
Joined: June 1st, 2013, 12:00 am

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Kazyan » October 29th, 2016, 12:05 am

mniemiec wrote:I count 11 (unless I missed something).


Your count is correct. As penance for me counting wrong, 15.960 in...10G:

x = 45, y = 44, rule = B3/S23
43bo$42bo$42b3o$9bo$7bobo$8b2o$31bo$31bobo$31b2o3$14bobo$15b2o$15bo5$
27b3o$27bo$28bo$24b3o$26bo$25bo6$23b3o$23bo$24bo$14b3o$16bo$15bo21b2o$
36b2o$38bo5$3o$2bo$bo!
Tanner Jacobi
User avatar
Kazyan
 
Posts: 651
Joined: February 6th, 2014, 11:02 pm

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby mniemiec » October 29th, 2016, 2:18 am

Kazyan wrote:Your count is correct. As penance for me counting wrong, 15.960 in...10G: ...

The domino spark can be made in 2 (using a common mechanism that I had never thought to use before), so 9:
x = 37, y = 18, rule = B3/S23
$19bo$19bobo$11bo7boo$4bo4bobo$5bo4boo$3b3o3$oo$boo8bo$o11bo17bo$10b3o
16bobo$25boo3bobo$13boo10boo5bo$6boo5bobo15boboobo$6boo5bo17boboboo$
32bo!
mniemiec
 
Posts: 747
Joined: June 1st, 2013, 12:00 am

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby chris_c » October 29th, 2016, 5:29 am

mniemiec wrote:
BlinkerSpawn wrote:15.390: ...

I've seen that thing next to the beehive before, but I can't remember what makes it. Do you remember?


I remember finding quite a lot of ways of making that piece of junk. Two of them ended up in the Pufferfish synthesis:

x = 42, y = 34, rule = B3/S23
31bobo$32b2o$32bo6bo$37b2o$16bo21b2o$17bo8bo3bo$15b3o8bo3bo$26bo3bo2$
18b2o19b2o$12b2o3bobo19bobo$11bobo5bo19bo$13bo21bo$34bobo$19b2o13b2o$
20b2o$19bo2$22bo$21b2o$17b2o2bobo$18b2o$17bo9$3o$2bo$bo!
chris_c
 
Posts: 719
Joined: June 28th, 2014, 7:15 am

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Goldtiger997 » October 29th, 2016, 6:58 am

chris_c wrote:
mniemiec wrote:
BlinkerSpawn wrote:15.390: ...

I've seen that thing next to the beehive before, but I can't remember what makes it. Do you remember?


I remember finding quite a lot of ways of making that piece of junk...


I found lots using gencols and used it to make a 13 glider synthesis of 15.390:

x = 54, y = 93, rule = B3/S23
37bo$36bo$36b3o7$46bo$45bo$45b3o18$12bo$12bobo$12b2o$2bo$obo$b2o3$4bo$
5bo$3b3o3$10bo$9bo11bo$9b3o9bobo$7bo13b2o$5bobo$6b2o8bo$15bo$15b3o2$7b
o$5bobo2b2o$6b2ob2o4b3o$11bo3bo$16bo35$51b2o$51bobo$51bo!


Now there remain no 15-bit still-lifes without syntheses in less than 15 gliders from 15.1 to 15.400!

BlinkerSpawn wrote:If you tire of assimilating 15-bit SL syntheses I'd like to see an expansion of the easily-constructible constellations list for things like this.


Before mniemiec does this, I have a method I've been using to find 3-glider syntheses of constellations if you're interested...
Last edited by Goldtiger997 on October 29th, 2016, 8:10 am, edited 1 time in total.
User avatar
Goldtiger997
 
Posts: 271
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby mniemiec » October 29th, 2016, 7:53 am

Goldtiger997 wrote:I found lots using gencols and used it to make a 13 glider synthesis of 13.390:

There is no 13.390. Did you mean 15.390? Actually, this is the same synthesis you posted Thursday for 15.389.
Coincidentally, I combined BlinkerSpawn's predecessor from Friday + chris_c's junk maker to make 13 glider synthesis of 15.390:
x = 241, y = 49, rule = B3/S23
120bo$119bo$119b3o15$bo3bo$bbobo$3ob3o5$134boo48boo$86bo46bobbo46bobbo
$86bobo44bobo47bobo$86boo46bo49bo$181boo$41booboo35booboo94bobo$41boob
oo35booboo96bo3$obo$boo17bo21bo39bo79boo48boo$bo17bo21bobo37bobo78boo
48boo$19b3o20boo12bo25boo12bo118b3o$b3o51bobo37bobo117bo$bo14b3o36bobo
27boo8bobo118bo$bbo13bo39bo29boo8bo$17bo67bo5bo$90boo$90bobo55boo48boo
38boo$148bo49bo39bo$84boo60boobbo45boobbo35boobbo$85boo58boboboo44bobo
boo34boboboo$84bo60bobbo46bobbo36bobbo$146bobo47bobo37bobo$147bo49bo
39bo!

Goldtiger997 wrote:Before mniemiec does this, I have a method I've been using to find 3-glider syntheses of constellations if you're interested...

I would be very interested in this.
mniemiec
 
Posts: 747
Joined: June 1st, 2013, 12:00 am

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Goldtiger997 » October 29th, 2016, 8:10 am

mniemiec wrote:
Goldtiger997 wrote:I found lots using gencols and used it to make a 13 glider synthesis of 13.390:

There is no 13.390. Did you mean 15.390? Actually, this is the same synthesis you posted Thursday for 15.389...


EEK! Two errors! I've fixed them now, sorry about that.

Here's 15.1207 in 14 gliders. In doing this, I discovered (or maybe re-discovered) a new "adding" mechanism.

x = 81, y = 31, rule = B3/S23
19bo$17b2o$11bo6b2o$12bo$10b3o$6bo$7b2o$6b2o7bo$15bobo$15b2o$33b2o18b
2o18b2o$13b3o18bo19bo19bo$15bo18bob2o16bob2o16bob2o$14bo20bobo17bobo
17bobo$38b2o18b2o18b2o$39bo19bo20bo$18b2o19bobo17bobo15bobo$19b2o19b2o
18b2o15b2o$2o16bo3b2o$b2o19bobo29bo14b2o$o21bo29bobo13b2o$53b2o15bo3$
51b2o3b2o10b2o$50bobo2b2o10b2o$52bo4bo11bo2$64bo$63b2o$63bobo!


Now all 15-bit still-lifes with syntheses in over 14 gliders lie in-between 15.400 and 15.1200!

EDIT:

Here's 15.1103 in 11 gliders:

x = 105, y = 73, rule = B3/S23
31bo$29bobo$30b2o28bo$58b2o$59b2o11$48bo$48bobo$48b2o2$47bo$45bobo$46b
2o14$43b2o2b3o$42bobo2bo$44bo3bo16$90b2o$89b2o$91bo11$99b2o$98b2o$100b
o$103b2o$2o6b2o92b2o$b2o4bobo94bo$o8bo!


Now all 15-bit still-lifes with syntheses in over 14 gliders lie in-between 15.400 and 15.1100!
User avatar
Goldtiger997
 
Posts: 271
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby BlinkerSpawn » October 29th, 2016, 9:06 am

15.441:
x = 36, y = 32, rule = B3/S23
obo$b2o$bo13$23b3o3$16b2o$18bo$16b3o$19b2o$18b3o$19bo4$24b2o$10b2o12b
2o$10b2o21b3o$33bo$34bo!

15.544:
x = 19, y = 13, rule = B3/S23
8bo2$7b2o$8b2ob2o$9bobo$10bo$2o$2o2b2o$4b2o$3bo10b2ob2o$14bo3bo$15b3o$
16bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
User avatar
BlinkerSpawn
 
Posts: 1318
Joined: November 8th, 2014, 8:48 pm

Next

Return to Patterns

Who is online

Users browsing this forum: No registered users and 3 guests