ConwayLife.com

My base of syntheses of 6939 syntheses meets conditions 17 in 17:
138 meet conditions 17 = 17:
I'll not bore over your files for a while, but for compatibility's sake, don't use RAR. Use 7-Zip (or .tar.gz, or just plain old zip) instead.

Golly can't open 17-490.rle – you are definitely using a ...

My base of syntheses of 6939 syntheses meets conditions 17 in 17:
17in17.rar
138 meet conditions 17 = 17:
17to17.rar
and 696 still lifes should be synthesized:
17.89 17.154 17.157 17.158 17.173 17.174 17.175 17.177 17.181 17.183
17.184 17.185 17.187 17.188 17.189 17.196 17.198 17.199 17.202 17 ...

Second-most expensive 17-bitter in at most 12: x = 114, y = 136, rule = B3/S23
111bobo$111b2o$112bo49$82bo6b2o$82bo6b2o$82bo2$59b3o7$69b3o$68bo3bo$
68bo4bo$69b2o2bo$71b2o67$2o$b2o$o!

Eleven:
x = 347, y = 147, rule = B3/S23
210bo$208b2o$209b2o49$146bobo$147b2o$147bo3$345bo$174bo6b2o161bo$174bo ...

One of the soups for 18P2.359 suggests a 28-glider synthesis
https://catagolue.appspot.com/object/xp2_gk115kzwa8wa2zx111/b3s23
x = 179, y = 80, rule = B3/S23
35bo$33boo98bo$34boo95bobo$132boo5$5bo$6boo11bo$5boo11bo$18b3o$16bo28b
oo28boo28boo28boo28boo$15boo28bobbo26bobbo26bobbo26bobbo26bobbo ...

Natural {boat, ship, tie}-fumarole:
...


9G and 13G:
x = 131, y = 57, rule = B3/S23
72bobo$73b2o$73bo3$71bobo$72b2o$72bo4$10bo79bo$11b2o78b2o$10b2o78b2o3$
o44b2o33bo$b2o41bobo34b2o$2o42b2o34b2o$42b2o$41bobo5b2o78b2o$41b2o5bob
o77bobo$48b2o78b2o$46b2o78b2o$7b2o13b2o21bobo39b2o13b2o21bobo$8b2o11b ...

It lasts 26,239 generations and produces a twinhat at (-62,-112) starting around generation 20,936, using this predecessor:
x = 13, y = 10, rule = B3/S23
o$o$o2$2b3o2$o9b2o$o9bobo$o9bobo$11bo!

I'm assuming that is well-known.


6G:

x = 46, y = 42, rule = B3/S23
bo$2bo34bo$3o32b2o$36b2o2 ...

I find a still life: ... Then I'm trying to find the glider synthesis of it. First step: ...
All still-lifes with populations up to 32 bits have already been found. By repeated applications of simple converters, around 97% of the ones up to 24 bits (at least) can be synthesized, and it's likely ...

How is this not major? I'd say this is a great component! It's a racetrack, actually:
x = 17, y = 15, rule = B3/S23
14b2o$13bobo$13bob2o$13bo2bo$3b2o9b2o$2bobo$3bo3$3o$obob2o$obo$6bo$3bo
bo$4bo!


EDIT: @danny: Ouch.

EDIT 2: Wait, it's not a racetrack. Whoops!

Synthesis in 9G: x = 104, y = 35 ...

github_com_osc.rar
I've added the syntheses of all the 16-bit oscillators, except for three which I've been unable to locate: ... Could someone point me towards those syntheses... Also, there is not a complete synthesis for another 16-bit oscillator, so this will also need to be completed (unless ...

Could this be used to more efficiently synthesize 16.30?
x = 25, y = 29, rule = B3/S23
8$15b3o$13b2o$13b2ob2o3$16bo$16b2o$18bo$16b2o$16bo6$7b2o3b3o$7bobo3bob
o$8bo$14bo!

There is a honeyfarm predecessor, a pi, a weird corruption I don't know how to synthesize, and a boat.
Here's a synthesis in ...

16.68 in 12 gliders, instead of 15:
x = 93, y = 99, rule = B3/S23
bo$2bo$3o26$68bo$67bo$67b3o5$46bo$46bobo$46b2o5$28bo$26bobo$27b2o2$37b
3o$39bo$38bo2$53b2o$53bobo$53bo$49b2o$48b2o$33b2o15bo$32bobo$34bo16$
59b2o5bo$59bobo3b2o$59bo5bobo17$12b3o$14bo$13bo2$90b3o$90bo$91bo!

I am not sure where to ...

Can someone reduce this synthesis for cis-boat and cap?
x = 14, y = 18, rule = B3/S23
3bo$2bo$2b3o6bo$12bo$3b3o4b3o$5bo$4bo7bo$11b2o$7bo3bobo$6b2o$6bobo2$b2o$obo$2bo$8bo$7b2o$7bobo!

4G: #C xs13_2530f96 costs 4 gliders
x = 110, y = 15, rule = B3/S23
7bo$6bo$6b3o3$6b3o95b2ob2o$6bo5b3o88bobobobo ...

Here are two closely-related 40-cell c/4 orthogonal spaceships:
x = 40, y = 17, rule = B3/S23
3bo22bo$b2o21b2o$3bo22bo$5b4o19b4o$6bo2bo19bo2bo$7b2o21b2o$8b2o21b2o2$
6bo22bo9bo$4b2obobobobo13b2obobobob2obo$5bo5bob2obo11bo5bobo$5bo10bo
11bo$5bo3b2o17bo3b2o$4b5o18b5o$2bo22bo$2o21b2o$2bo22bo!
They ...

Found a faster than c spaceship in a 1x32 torus. ,,,
How is this faster than c? (Especially since, by the very definition of c, any information transfer in any neighborhood is physically incapable of traveling faster than c).
It's a bit silly, I agree, but the sense in which it's true is that ...

47 new still-lifes synthesized with 4 gliders:
...
x = 941, y = 443, rule = LifeHistory
445.A$443.2A$444.2A6$721.A.A$412.A308.2A$413.A308.A$411.3A$A906.A.A$.
2A904.2A$2A906.A5$125.A$124.A195.A.A$119.2A3.3A193.2A$120.2A199.A$
119.A666.A$426.A360.A$426.A.A356.3A$118.2A306.2A$117.A.A$119.A819.2A$
21 ...

But it turned out to be incomplete. List of 108 still lifes, what I not found from the list Chris
...
I ask to help me fill my database.

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

Of course, thank you

EDIT:
I checked the list. Found a bug only 16,825, however it is easily corrected. step 2 ...

16.836 in 13 gliders

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

Thanks to everyone!

Chris led the list with full list of synthesis of 16-bit still lifes ...

I presume that you are finding these by enumerating subsets of 4-glider syntheses.
It's a very simple search that ducks the complications of enumerating collisions correctly: It just places 4 gliders, each within one of the boxes below picked at random, at random coordinates and phases, but each ...

Anyway, xs19_02egm9a4zc8421 in 10 gliders (possibly reducible), which allows 17.3736 (xs17_2egm9a4zw65) in 16 gliders, and likely other difficult 17-bit still lifes: ...
The flip-and-shorten snake converer can shorten by an arbitrarily large number, by moving the two lower gliders SW n spaces and ...

Gamedziner wrote:Pre-block can stabilize half a line as a p2 oscillator (may already be known):

Code: Select all

bo3b2ob2o3bo$obo2b2ob2o2bobo$b2o9b2o$3b9o$b2o9b2o$obo2bo3bo2bobo$bo3b2ob2o3bo!

Funny BobShemyakin

Can't find this 4-glider synthesis of Long integral (xs10_3542ac, 10.19) in BobShemyakin's latest 4-glider table , and on the wiki it's listed as needing 5 gliders:

x = 21, y = 15, rule = LifeHistory
8.A.A$8.2A$9.A$.A$2.A$3A3$.3A$3.A$2.A2$19.A$18.2A$18.A.A!

EDIT: Here's one more 4-glider ...

The penny lane synthesis can be slightly reduced (from 33 to 28):

x = 379, y = 29, rule = B3/S23
224bo$223bo$80bo142b3o$81bo3bo30b2o30b2o$79b3ob2o30bo2bo24bo3bo2bo144b
o$84b2o29bo2bo22bobo3bo2bo142b2o$116b2o24b2o4b2o144b2o37bo4bobo4bo$
331bobo2bobobobo2bobo$332b2o3b2ob2o3b2o$223bo66bo ...

Sorry to bump an old thread, ,,,
EDIT: And the Coe's p8 synthesis too:

x = 25, y = 21, rule = B3/S23
2bobo$2b2o$3bo10bo$13bo3bo$3o10bo4bo$o13bo3bo$bo14b2obo$18b3o2b2o$11bo
6b2o3b2o$10b2o$10bobo6$12bo$11b2o$11bobo6bo$19b2o$19bobo!
I am very pleased that this thread is not forgotten.

Coes p8 in ...

Great work! Thanks to everyone!

Bob Shemyakin

16.1962 in 12 gliders:

x = 56, y = 63, rule = B3/S23
2bo$obo$b2o12$14bo$15bo16bo3bo$13b3o17bo2bobo$31b3o2b2o4$39bo$38bo$38b
3o2$38bo$38b2o$37bobo9$32bo$30b2o$31b2o$34b3o$34bo5b3o$35bo4bo$41bo4$
11bo$11b2o40b2o$10bobo40bobo$53bo11$6b2o$5bobo$7bo!
...
This is a mistake. 2 gliders (marked on the ...