Spaceship Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
HartmutHolzwart
Posts: 513
Joined: June 27th, 2009, 10:58 am
Location: Germany

Re: Spaceship Discussion Thread

Post by HartmutHolzwart » August 20th, 2020, 3:26 pm

If I'd know an appropriate short wide c/6 spaceship with a domino spark, then this couls be a c/6 grey ship component:

Code: Select all

x = 184, y = 63, rule = B3/S23
6$54b2o83b2o2$38bobo11b3o12bobo11b2o40bobo11b3o12bobo$9b4o11b2o27b2o
11b2o2bo10b3o10b4o11b2o27b2o11b2o2bo$12bo9bob2obo8b3o3bo7b3ob3o7b3o12b
o3b2o12bo9bob2obo8b3o3bo7b3ob3o7b3o$7b2obobo9bobo4bo6bobobobo7bo3bobo
6bo4b2obo6b2o3b2o7b2obobo9bobo4bo6bobobobo7bo3bobo6bo4b2obo6bob3o$7bo
4bo4bo4b2o2bo3bo6bo2bo3bo7bo4b2o7b2o3bo5b2ob2o3bobo4bo4bo4bo4b2o2bo3bo
6bo2bo3bo7bo4b2o7b2o3bo5bo3b2o$7bo2b6obo4b3ob6o5bobob4o7bob4o8b6o2bo2b
3o2b4obo4bo2b6obo4b3ob6o5bobob4o7bob4o8b6o2bo3bo$7bo14bo8bo4bo8bo4bo7b
3o17bo10bo2bo14bo8bo4bo8bo4bo7b3o$8b11o3b11o3b10o4b10o3b12o3b11o4b11o
3b11o3b10o4b10o3b12o3b2o$6bo26bo13bo29bo13bo26bo13bo29b3o$6b157obo2$6b
157obo$6bo26bo13bo29bo13bo26bo13bo29b3o$8b11o3b11o3b10o4b10o3b12o3b11o
4b11o3b11o3b10o4b10o3b12o3b2o$7bo14bo8bo4bo8bo4bo7b3o17bo10bo2bo14bo8b
o4bo8bo4bo7b3o$7bo2b6obo4b3ob6o5bobob4o7bob4o8b6o2bo2b3o2b4obo4bo2b6ob
o4b3ob6o5bobob4o7bob4o8b6o2bo3bo$7bo4bo4bo4b2o2bo3bo6bo2bo3bo7bo4b2o7b
2o3bo5b2ob2o3bobo4bo4bo4bo4b2o2bo3bo6bo2bo3bo7bo4b2o7b2o3bo5bo3b2o$7b
2obobo9bobo4bo6bobobobo7bo3bobo6bo4b2obo6b2o3b2o7b2obobo9bobo4bo6bobob
obo7bo3bobo6bo4b2obo6bob3o$12bo9bob2obo8b3o3bo7b3ob3o7b3o12bo3b2o12bo
9bob2obo8b3o3bo7b3ob3o7b3o$9b4o11b2o27b2o11b2o2bo10b3o10b4o11b2o27b2o
11b2o2bo$38bobo11b3o12bobo11b2o40bobo11b3o12bobo2$54b2o83b2o!
As of now, it only works on a torus.

Sokwe
Moderator
Posts: 1677
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » August 20th, 2020, 6:37 pm

yujh wrote:
August 20th, 2020, 8:51 am
Entity Valkyrie 2 wrote:
August 20th, 2020, 8:47 am
Where was the first time these ships were mentioned?
I think we do have sth like a collection of c/2 ships under 50 cells?
We do have such a collection available here. The credits for pushalong 1 read

Code: Select all

DB 13 Aug 1992 (using OWSS; MWSS support found by DB on 16 Aug 1992)
where "DB" is David Bell.

I'm not sure if the OWSS version of the Coe Ship has been posted before, but it's essentially a replacement of a MWSS on LWSS reaction with a MWSS on OWSS reaction:

Code: Select all

x = 42, y = 16, rule = B3/S23
b3o31b3o$5o29b5o$3ob2o28b3ob2o$3b2o16bo15b2o2$2o20bo11b2o$3bo36bo$4bo
10bobobobobo17bo$o3bo29bo6bo$b4o17bo12b7o2$21bo$b3o31b3o$5o29b5o$3ob2o
28b3ob2o$3b2o32b2o!
-Matthias Merzenich

amling
Posts: 50
Joined: April 2nd, 2020, 9:47 pm

Re: Spaceship Discussion Thread

Post by amling » August 20th, 2020, 11:44 pm

HartmutHolzwart wrote:
August 20th, 2020, 3:26 pm
If I'd know an appropriate short wide c/6 spaceship with a domino spark, then this couls be a c/6 grey ship component:

Code: Select all

x = 184, y = 63, rule = B3/S23
6$54b2o83b2o2$38bobo11b3o12bobo11b2o40bobo11b3o12bobo$9b4o11b2o27b2o
11b2o2bo10b3o10b4o11b2o27b2o11b2o2bo$12bo9bob2obo8b3o3bo7b3ob3o7b3o12b
o3b2o12bo9bob2obo8b3o3bo7b3ob3o7b3o$7b2obobo9bobo4bo6bobobobo7bo3bobo
6bo4b2obo6b2o3b2o7b2obobo9bobo4bo6bobobobo7bo3bobo6bo4b2obo6bob3o$7bo
4bo4bo4b2o2bo3bo6bo2bo3bo7bo4b2o7b2o3bo5b2ob2o3bobo4bo4bo4bo4b2o2bo3bo
6bo2bo3bo7bo4b2o7b2o3bo5bo3b2o$7bo2b6obo4b3ob6o5bobob4o7bob4o8b6o2bo2b
3o2b4obo4bo2b6obo4b3ob6o5bobob4o7bob4o8b6o2bo3bo$7bo14bo8bo4bo8bo4bo7b
3o17bo10bo2bo14bo8bo4bo8bo4bo7b3o$8b11o3b11o3b10o4b10o3b12o3b11o4b11o
3b11o3b10o4b10o3b12o3b2o$6bo26bo13bo29bo13bo26bo13bo29b3o$6b157obo2$6b
157obo$6bo26bo13bo29bo13bo26bo13bo29b3o$8b11o3b11o3b10o4b10o3b12o3b11o
4b11o3b11o3b10o4b10o3b12o3b2o$7bo14bo8bo4bo8bo4bo7b3o17bo10bo2bo14bo8b
o4bo8bo4bo7b3o$7bo2b6obo4b3ob6o5bobob4o7bob4o8b6o2bo2b3o2b4obo4bo2b6ob
o4b3ob6o5bobob4o7bob4o8b6o2bo3bo$7bo4bo4bo4b2o2bo3bo6bo2bo3bo7bo4b2o7b
2o3bo5b2ob2o3bobo4bo4bo4bo4b2o2bo3bo6bo2bo3bo7bo4b2o7b2o3bo5bo3b2o$7b
2obobo9bobo4bo6bobobobo7bo3bobo6bo4b2obo6b2o3b2o7b2obobo9bobo4bo6bobob
obo7bo3bobo6bo4b2obo6bob3o$12bo9bob2obo8b3o3bo7b3ob3o7b3o12bo3b2o12bo
9bob2obo8b3o3bo7b3ob3o7b3o$9b4o11b2o27b2o11b2o2bo10b3o10b4o11b2o27b2o
11b2o2bo$38bobo11b3o12bobo11b2o40bobo11b3o12bobo2$54b2o83b2o!
As of now, it only works on a torus.
Mmm, think there might be an error in pasting it together? I got...

Code: Select all

x = 184, y = 25, rule = B3/S23
36b2o83b2o$23bo84bo$20bobo11b3o12bobo11b2o40bobo11b3o12bobo11b2o$6b2o
27b2o11b2o2bo10b3o10b4o11b2o27b2o11b2o2bo10b3o10b4o11b2o$4bob2obo8b3o
3bo7b3ob3o7b3o12bo3b2o12bo9bob2obo8b3o3bo7b3ob3o7b3o12bo3b2o12bo9bob2o
bo$4bobo4bo6bobobobo7bo3bobo6bo4b2obo6b2o3b2o7b2obobo9bobo4bo6bobobobo
7bo3bobo6bo4b2obo6b2o3b2o7b2obobo9bobo4bo$4b2o2bo3bo6bo2bo3bo7bo4b2o7b
2o3bo5b2ob2o3bobo4bo4bo4bo4b2o2bo3bo6bo2bo3bo7bo4b2o7b2o3bo5b2ob2o3bob
o4bo4bo4bo4b2o2bo3bo$4b3ob6o5bobob4o7bob4o8b6o2bo2b3o2b4obo4bo2b6obo4b
3ob6o5bobob4o7bob4o8b6o2bo2b3o2b4obo4bo2b6obo4b3ob6o$4bo8bo4bo8bo4bo9b
o17bo10bo2bo14bo8bo4bo8bo4bo9bo17bo10bo2bo14bo8bo$o3b11o3b10o4b10o3b
12o3b11o4b11o3b11o3b10o4b10o3b12o3b11o4b11o3b10o$15bo13bo29bo13bo26bo
13bo29bo13bo$184o2$184o$15bo13bo29bo13bo26bo13bo29bo13bo$o3b11o3b10o4b
10o3b12o3b11o4b11o3b11o3b10o4b10o3b12o3b11o4b11o3b10o$4bo8bo4bo8bo4bo
9bo17bo10bo2bo14bo8bo4bo8bo4bo9bo17bo10bo2bo14bo8bo$4b3ob6o5bobob4o7bo
b4o8b6o2bo2b3o2b4obo4bo2b6obo4b3ob6o5bobob4o7bob4o8b6o2bo2b3o2b4obo4bo
2b6obo4b3ob6o$4b2o2bo3bo6bo2bo3bo7bo4b2o7b2o3bo5b2ob2o3bobo4bo4bo4bo4b
2o2bo3bo6bo2bo3bo7bo4b2o7b2o3bo5b2ob2o3bobo4bo4bo4bo4b2o2bo3bo$4bobo4b
o6bobobobo7bo3bobo6bo4b2obo6b2o3b2o7b2obobo9bobo4bo6bobobobo7bo3bobo6b
o4b2obo6b2o3b2o7b2obobo9bobo4bo$4bob2obo8b3o3bo7b3ob3o7b3o12bo3b2o12bo
9bob2obo8b3o3bo7b3ob3o7b3o12bo3b2o12bo9bob2obo$6b2o27b2o11b2o2bo10b3o
10b4o11b2o27b2o11b2o2bo10b3o10b4o11b2o$20bobo11b3o12bobo11b2o40bobo11b
3o12bobo11b2o$23bo84bo$36b2o83b2o!
or

Code: Select all

x = 85, y = 21, rule = B3/S23:T85,22
2b3o12bobo11b2o40bobo$3b2o11b2o2bo10b3o10b4o11b2o$3ob3o7b3o12bo3b2o12b
o9bob2obo8b3o3bo$o3bobo6bo4b2obo6b2o3b2o7b2obobo9bobo4bo6bobobobo$2bo
4b2o7b2o3bo5b2ob2o3bobo4bo4bo4bo4b2o2bo3bo6bo2bo3bo$2bob4o8b6o2bo2b3o
2b4obo4bo2b6obo4b3ob6o5bobob4o$o9bo17bo10bo2bo14bo8bo4bo8bo$10o3b12o3b
11o4b11o3b11o3b10o$27bo13bo26bo13bo$85o2$85o$27bo13bo26bo13bo$10o3b12o
3b11o4b11o3b11o3b10o$o9bo17bo10bo2bo14bo8bo4bo8bo$2bob4o8b6o2bo2b3o2b
4obo4bo2b6obo4b3ob6o5bobob4o$2bo4b2o7b2o3bo5b2ob2o3bobo4bo4bo4bo4b2o2b
o3bo6bo2bo3bo$o3bobo6bo4b2obo6b2o3b2o7b2obobo9bobo4bo6bobobobo$3ob3o7b
3o12bo3b2o12bo9bob2obo8b3o3bo$3b2o11b2o2bo10b3o10b4o11b2o$2b3o12bobo
11b2o40bobo!
Anyway, an amazing find!

HartmutHolzwart
Posts: 513
Joined: June 27th, 2009, 10:58 am
Location: Germany

Re: Spaceship Discussion Thread

Post by HartmutHolzwart » August 21st, 2020, 4:38 am

You‘re right, pasting error... I just wanted to get that thing out quickly, as I won‘t be able to spend much time on spaceship searching for the next two weeks. Maybe you could spend some time on c/6 grey ship components? You seem to succeed where I fail.

Also 2c/5 and 2c/6 against the grain are still vexing me. Not the slightest progress. No reason to complain, though! Quite a lot of new results and closed gaps in grey ships and agars recently.

amling
Posts: 50
Joined: April 2nd, 2020, 9:47 pm

Re: Spaceship Discussion Thread

Post by amling » August 21st, 2020, 10:26 pm

HartmutHolzwart wrote:
August 21st, 2020, 4:38 am
Also 2c/5 and 2c/6 against the grain are still vexing me. Not the slightest progress. No reason to complain, though! Quite a lot of new results and closed gaps in grey ships and agars recently.
I haven't looked at 2c/6 perpendicular yet and have looked at 2c/5 perpendicular only a little. Fundamentally my current techniques are limited by a need for a pre-specified 2 row slice to "start" at. For other searches I've generally cheated and grabbed a common slice from existing work.

My best guess for a two row slice can be seen here (made up of top two rows in each generation):

Code: Select all

                 |                  |                  |  ............    |  ............
 ******......    |  *****.......    |  *****.......    |  *****.......    |  *****.......
 ............    |  .....*......    |  .....*......    |    ...*...*....  |    ...*..***...
   ***....*....  |    ***...**....  |    ***...***...  |    ***...***...  |     **.*.*.*....
   ...*.**.*...  |     ..****.**... |     ..****..*... |     ..**...*.... |     ..*.**.*....
    **.*...**... |     **.....**... |     **...*...... |     **...*...... |     **...**.....
    ..**...*.... |     ...*..**.... |     ..*......... |     ..*.**...... |     ..**..*.....
    **.....*.... |     **....***... |     **..**...... |     **..**...... |     **...**.....
    ..*.*..*.... |     ..***..**... |     ..***....*.. |     ..**...**... |     ..**....*...
    **..****.... |     **..**.**... |     **...****... |     **...****... |     **..***..*..
    ..**...*.... |     ..**........ |     ..**........ |     ..*.*...*... |     ..*.*...*...
    **..**.***.. |     **...***.*.. |     **...**.*... |     **...*...... |     **....**....
    ..***...*... |     ..***....*.. |     ..***....... |     ..*****.*... |     ..*****.....
    **....**.... |     **....**.... |     **.....**... |     **.......... |     **..*...*...
    ..***.*..... |     ..**.***.... |     ...*.*...... |    ...*...***..  |    ..****.**...
   **..........  |    ****...*....  |    **.*....*...  |    *...****....  |   *....*......
   ..*..**.*...  |    .*...**.....  |   ......*.*...   |   ......**....   |  .*****......
  *.....*.....   |  *...**.**...    |  ..*.****....    | *...***....?     |
....*.**....     |                  |                  |                  |
This is the longest partial result for that search, although I may yet push it further (increase allowed widths).

I also had an idea about automated guessing of a good 2 row slice but it hasn't really worked out yet. The idea was to try searching from all very "thin" slices (where "thin" means the rows are mostly made up of agar on the left and dead cells on the right) and then analyze the collected results (especially in terms of connectivity between the thin rows, especially if there are any cycles since then we'd have a repeating edge component). This is sort of where I came up with the above slice from (I think it is also similar to an analogous 2c/4 slice from existing 2c/4 perpendicular work).

I guess I'm curious how you do your searches and/or if you have any ideas about how to guess up these starting slices.

HartmutHolzwart
Posts: 513
Joined: June 27th, 2009, 10:58 am
Location: Germany

Re: Spaceship Discussion Thread

Post by HartmutHolzwart » August 25th, 2020, 7:51 am

Here is an unfinished c/5 grey ship part to switch from greystretcher domain to normal c/5 grey ship components:

Code: Select all

x = 209, y = 158, rule = B3/S23
30$91b5o$94bobo$90bo6bo5b5o$90bo3bo11bobo$91b2obo7bo6bo5b5o$94bob2o4bo
3bo11bobo$92b2o9b2obo7bo6bo5b5o$93bo12bob2o4bo3bo11bobo$91b2o11b2o9b2o
bo7bo6bo5b5o$90bobo12bo12bob2o4bo3bo11bobo$90bob2o9b2o11b2o9b2obo7bo6b
o5b5o$91bobo8bobo12bo12bob2o4bo3bo11bobo$93bo8bob2o9b2o11b2o9b2obo7bo
6bo5b5o$103bobo8bobo12bo12bob2o4bo3bo11bobo$93bo11bo8bob2o9b2o11b2o9b
2obo7bo6bo5b5o$91bobo21bobo8bobo12bo12bob2o4bo3bo11bobo$90bob2o11bo11b
o8bob2o9b2o11b2o9b2obo7bo6bo$90bobo10bobo21bobo8bobo12bo12bob2o4bo3bo$
91b2o9bob2o11bo11bo8bob2o9b2o11b2o9b2obo$93bo8bobo10bobo21bobo8bobo12b
o12bob2o$64bob4o22b2o9b2o9bob2o11bo11bo8bob2o9b2o11b2o$64bo3b2o2b3o19b
ob2o7bo8bobo10bobo21bobo8bobo12bo$64b5o22b2obo9b2o9b2o9bob2o11bo11bo8b
ob2o9b2o$64bo2bo4b2o16bo3bo11bob2o7bo8bobo10bobo21bobo8bobo$67bobobo
18bo6bo5b2obo9b2o9b2o9bob2o11bo11bo8bob2o$66b3obob2o20bobo5bo3bo11bob
2o7bo8bobo10bobo21bobo$69b2obo18b5o6bo6bo5b2obo9b2o9b2o9bob2o11bo11bo$
71bobo32bobo5bo3bo11bob2o7bo8bobo10bobo$68bobobo25bo4b5o6bo6bo5b2obo9b
2o9b2o9bob2o11bo$68bob2obo22b2o20bobo5bo3bo11bob2o7bo8bobo10bobo$67bo
3bo38bo4b5o6bo6bo5b2obo9b2o9b2o9bob2o$68b3o26b2o9b2o20bobo5bo3bo11bob
2o7bo8bobo$67b2ob2o50bo4b5o6bo6bo5b2obo9b2o9b2o$68b2obo2bo22bo11b2o9b
2o20bobo5bo3bo11bob2o7bo$70b2o3bo58bo4b5o6bo6bo5b2obo9b2o$70bo25b2o11b
o11b2o9b2o20bobo5bo3bo11bob2o$95b2o49bo4b5o6bo6bo5b2obo$70b2obob2o17bo
13b2o11bo11b2o9b2o20bobo5bo3bo$71bo3bobo16bo12b2o49bo4b5o6bo6bo$69b2o
4bo19b2o9bo13b2o11bo11b2o9b2o20bobo$69bobo2b3o19b2o8bo12b2o49bo4b5o$
70b3o2b2o30b2o9bo13b2o11bo11b2o9b2o$75b2o20bo10b2o8bo12b2o49bo$71bobo
45b2o9bo13b2o11bo11b2o9b2o$70bo2bo23b2o10bo10b2o8bo12b2o$69b2o60b2o9bo
13b2o11bo11b2o$68bo5bo21b3o10b2o10bo10b2o8bo12b2o$67bo4bob2o20b2o45b2o
9bo13b2o11bo$68bo6bo22bo9b3o10b2o10bo10b2o8bo12b2o$69b4o3bo18b3o10b2o
45b2o9bo13b2o$71b2o21bo15bo9b3o10b2o10bo10b2o8bo12b2o$70b2o23bo11b3o
10b2o45b2o9bo$74b2o19bo10bo15bo9b3o10b2o10bo10b2o8bo$75bobo17bo11bo11b
3o10b2o45b2o$68bo4bo2bo30bo10bo15bo9b3o10b2o10bo10b2o$68b8o14b2ob2o12b
o11bo11b3o10b2o$68bo2b4o15b2o27bo10bo15bo9b3o10b2o10bo$102b2ob2o12bo
11bo11b3o10b2o$69b3o19bo10b2o27bo10bo15bo9b3o10b2o$74bo16bobo20b2ob2o
12bo11bo11b3o10b2o$72bo2bo14bo2bo9bo10b2o27bo10bo15bo9b3o$73bo17bo11bo
bo20b2ob2o12bo11bo11b3o10b2o$74bo16b2o9bo2bo9bo10b2o27bo10bo15bo$91bo
2bo8bo11bobo20b2ob2o12bo11bo11b3o$15bo5bo5bo5bo5bo5bo5bo5bo5bo5bo3b3o
18bo8b2o9bo2bo9bo10b2o27bo10bo$16b2obo2b2o4b2obo2b2o4b2obo2b2o4b2obo2b
2o4b2obo2b2o2b2o2b2o4b2o3bo2bo10bo2bo8bo11bobo20b2ob2o12bo11bo$13b2ob
2o2b4ob2ob2o2b4ob2ob2o2b4ob2ob2o2b4ob2ob2o2b4ob3o2b3o3b2o3b2o15bo8b2o
9bo2bo9bo10b2o27bo$77bo3bo14b2o3bo2bo10bo2bo8bo11bobo20b2ob2o12bo$13b
80o3b2o3b2o15bo8b2o9bo2bo9bo10b2o$93bo14b2o3bo2bo10bo2bo8bo11bobo20b2o
b2o$13b92o3b2o3b2o15bo8b2o9bo2bo9bo10b2o$105bo14b2o3bo2bo10bo2bo8bo11b
obo$13b104o3b2o3b2o15bo8b2o9bo2bo9bo$117bo14b2o3bo2bo10bo2bo8bo11bobo$
13b116o3b2o3b2o15bo8b2o9bo2bo$129bo14b2o3bo2bo10bo2bo8bo$13b128o3b2o3b
2o15bo8b2o$141bo14b2o3bo2bo10bo2bo$13b140o3b2o3b2o15bo$153bo14b2o3bo2b
o$13b152o3b2o3b2o$165bo14b2o$13b164o3b2o$177bo$13b168o2$13b168o2$13b
168o2$13b168o!
Maybe you could give it a try!

HartmutHolzwart
Posts: 513
Joined: June 27th, 2009, 10:58 am
Location: Germany

Re: Spaceship Discussion Thread

Post by HartmutHolzwart » August 26th, 2020, 4:09 pm

Here is the 2c/5 wick featured in the arbitrary wide grey ship shown in its long form:

Code: Select all

x = 1517, y = 163, rule = B3/S23
38$41b2obo$41b5o$40bo3b2o$41b2o$41b2o12b2o$36b4o81b2o22bo22bo3bo19b2o
46b2o22bo22bo3bo19b2o46b2o22bo22bo3bo19b2o46b2o22bo22bo3bo19b2o46b2o
22bo22bo3bo19b2o46b2o22bo22bo3bo19b2o46b2o22bo22bo3bo19b2o46b2o22bo22b
o3bo19b2o46b2o22bo22bo3bo19b2o46b2o22bo22bo3bo19b2o46b2o22bo22bo3bo19b
2o46b2o$36bo3bo4b2ob2o4b2o2bo37b3o21b6o18b4o20bo3bo19bo2bo19b3o21b6o
18b4o20bo3bo19bo2bo19b3o21b6o18b4o20bo3bo19bo2bo19b3o21b6o18b4o20bo3bo
19bo2bo19b3o21b6o18b4o20bo3bo19bo2bo19b3o21b6o18b4o20bo3bo19bo2bo19b3o
21b6o18b4o20bo3bo19bo2bo19b3o21b6o18b4o20bo3bo19bo2bo19b3o21b6o18b4o
20bo3bo19bo2bo19b3o21b6o18b4o20bo3bo19bo2bo19b3o21b6o18b4o20bo3bo19bo
2bo19b3o21b6o$36b2o2b2o3b2ob3ob2o2bobo36bo2bob2o17bo3bo19bo2b2o19bobo
21bo3b2o17bo2bob2o17bo3bo19bo2b2o19bobo21bo3b2o17bo2bob2o17bo3bo19bo2b
2o19bobo21bo3b2o17bo2bob2o17bo3bo19bo2b2o19bobo21bo3b2o17bo2bob2o17bo
3bo19bo2b2o19bobo21bo3b2o17bo2bob2o17bo3bo19bo2b2o19bobo21bo3b2o17bo2b
ob2o17bo3bo19bo2b2o19bobo21bo3b2o17bo2bob2o17bo3bo19bo2b2o19bobo21bo3b
2o17bo2bob2o17bo3bo19bo2b2o19bobo21bo3b2o17bo2bob2o17bo3bo19bo2b2o19bo
bo21bo3b2o17bo2bob2o17bo3bo19bo2b2o19bobo21bo3b2o17bo2bob2o17bo3bo$38b
o3bo9b2o5bo35b3o21bo4b2o17bo5bo16b3o2b2o17b3o2b2o17b3o21bo4b2o17bo5bo
16b3o2b2o17b3o2b2o17b3o21bo4b2o17bo5bo16b3o2b2o17b3o2b2o17b3o21bo4b2o
17bo5bo16b3o2b2o17b3o2b2o17b3o21bo4b2o17bo5bo16b3o2b2o17b3o2b2o17b3o
21bo4b2o17bo5bo16b3o2b2o17b3o2b2o17b3o21bo4b2o17bo5bo16b3o2b2o17b3o2b
2o17b3o21bo4b2o17bo5bo16b3o2b2o17b3o2b2o17b3o21bo4b2o17bo5bo16b3o2b2o
17b3o2b2o17b3o21bo4b2o17bo5bo16b3o2b2o17b3o2b2o17b3o21bo4b2o17bo5bo16b
3o2b2o17b3o2b2o17b3o21bo4b2o$39b12obo6b2o35b5o18bo2bo20bo4bo42b2o22b5o
18bo2bo20bo4bo42b2o22b5o18bo2bo20bo4bo42b2o22b5o18bo2bo20bo4bo42b2o22b
5o18bo2bo20bo4bo42b2o22b5o18bo2bo20bo4bo42b2o22b5o18bo2bo20bo4bo42b2o
22b5o18bo2bo20bo4bo42b2o22b5o18bo2bo20bo4bo42b2o22b5o18bo2bo20bo4bo42b
2o22b5o18bo2bo20bo4bo42b2o22b5o18bo2bo$50b2o6bo4bo34b2o44bo24b2o21bo
24b2o44bo24b2o21bo24b2o44bo24b2o21bo24b2o44bo24b2o21bo24b2o44bo24b2o
21bo24b2o44bo24b2o21bo24b2o44bo24b2o21bo24b2o44bo24b2o21bo24b2o44bo24b
2o21bo24b2o44bo24b2o21bo24b2o44bo24b2o21bo24b2o$37b12ob2o5b2o4bo33bobo
21b2o22bobo21b2o21b2o22bobo21b2o22bobo21b2o21b2o22bobo21b2o22bobo21b2o
21b2o22bobo21b2o22bobo21b2o21b2o22bobo21b2o22bobo21b2o21b2o22bobo21b2o
22bobo21b2o21b2o22bobo21b2o22bobo21b2o21b2o22bobo21b2o22bobo21b2o21b2o
22bobo21b2o22bobo21b2o21b2o22bobo21b2o22bobo21b2o21b2o22bobo21b2o22bob
o21b2o21b2o22bobo21b2o$36bo11bob2o6b5o35bo22b2o22b2o21bo48bo22b2o22b2o
21bo48bo22b2o22b2o21bo48bo22b2o22b2o21bo48bo22b2o22b2o21bo48bo22b2o22b
2o21bo48bo22b2o22b2o21bo48bo22b2o22b2o21bo48bo22b2o22b2o21bo48bo22b2o
22b2o21bo48bo22b2o22b2o21bo48bo22b2o$34b2ob10o12bo36bo24bo22b2o46bo22b
o24bo22b2o46bo22bo24bo22b2o46bo22bo24bo22b2o46bo22bo24bo22b2o46bo22bo
24bo22b2o46bo22bo24bo22b2o46bo22bo24bo22b2o46bo22bo24bo22b2o46bo22bo
24bo22b2o46bo22bo24bo22b2o46bo22bo24bo$34bo2bo56b3o22b3o20bo2bo20b2o2b
o20bobo19b3o22b3o20bo2bo20b2o2bo20bobo19b3o22b3o20bo2bo20b2o2bo20bobo
19b3o22b3o20bo2bo20b2o2bo20bobo19b3o22b3o20bo2bo20b2o2bo20bobo19b3o22b
3o20bo2bo20b2o2bo20bobo19b3o22b3o20bo2bo20b2o2bo20bobo19b3o22b3o20bo2b
o20b2o2bo20bobo19b3o22b3o20bo2bo20b2o2bo20bobo19b3o22b3o20bo2bo20b2o2b
o20bobo19b3o22b3o20bo2bo20b2o2bo20bobo19b3o22b3o$34b6o3bobo48b3o20b2ob
2o19bo2bo20b2o22b2o22b3o20b2ob2o19bo2bo20b2o22b2o22b3o20b2ob2o19bo2bo
20b2o22b2o22b3o20b2ob2o19bo2bo20b2o22b2o22b3o20b2ob2o19bo2bo20b2o22b2o
22b3o20b2ob2o19bo2bo20b2o22b2o22b3o20b2ob2o19bo2bo20b2o22b2o22b3o20b2o
b2o19bo2bo20b2o22b2o22b3o20b2ob2o19bo2bo20b2o22b2o22b3o20b2ob2o19bo2bo
20b2o22b2o22b3o20b2ob2o19bo2bo20b2o22b2o22b3o20b2ob2o$38b2obo2bo48bo
23bo2bo20bo22bo23b2obo20bo23bo2bo20bo22bo23b2obo20bo23bo2bo20bo22bo23b
2obo20bo23bo2bo20bo22bo23b2obo20bo23bo2bo20bo22bo23b2obo20bo23bo2bo20b
o22bo23b2obo20bo23bo2bo20bo22bo23b2obo20bo23bo2bo20bo22bo23b2obo20bo
23bo2bo20bo22bo23b2obo20bo23bo2bo20bo22bo23b2obo20bo23bo2bo20bo22bo23b
2obo20bo23bo2bo$42b3o49bo22b2ob2o19b3o21b2o22bobo21bo22b2ob2o19b3o21b
2o22bobo21bo22b2ob2o19b3o21b2o22bobo21bo22b2ob2o19b3o21b2o22bobo21bo
22b2ob2o19b3o21b2o22bobo21bo22b2ob2o19b3o21b2o22bobo21bo22b2ob2o19b3o
21b2o22bobo21bo22b2ob2o19b3o21b2o22bobo21bo22b2ob2o19b3o21b2o22bobo21b
o22b2ob2o19b3o21b2o22bobo21bo22b2ob2o19b3o21b2o22bobo21bo22b2ob2o$94b
2o23b3o20b2o48bo20b2o23b3o20b2o48bo20b2o23b3o20b2o48bo20b2o23b3o20b2o
48bo20b2o23b3o20b2o48bo20b2o23b3o20b2o48bo20b2o23b3o20b2o48bo20b2o23b
3o20b2o48bo20b2o23b3o20b2o48bo20b2o23b3o20b2o48bo20b2o23b3o20b2o48bo
20b2o23b3o$42b3o72b3ob2o18bobo21bo4bo18bo2bo43b3ob2o18bobo21bo4bo18bo
2bo43b3ob2o18bobo21bo4bo18bo2bo43b3ob2o18bobo21bo4bo18bo2bo43b3ob2o18b
obo21bo4bo18bo2bo43b3ob2o18bobo21bo4bo18bo2bo43b3ob2o18bobo21bo4bo18bo
2bo43b3ob2o18bobo21bo4bo18bo2bo43b3ob2o18bobo21bo4bo18bo2bo43b3ob2o18b
obo21bo4bo18bo2bo43b3ob2o18bobo21bo4bo18bo2bo43b3ob2o$38b2obo2bo33b2o
13b2o3bo18b2obo20b3o20bo5bo17b2ob2o19b2o3bo18b2obo20b3o20bo5bo17b2ob2o
19b2o3bo18b2obo20b3o20bo5bo17b2ob2o19b2o3bo18b2obo20b3o20bo5bo17b2ob2o
19b2o3bo18b2obo20b3o20bo5bo17b2ob2o19b2o3bo18b2obo20b3o20bo5bo17b2ob2o
19b2o3bo18b2obo20b3o20bo5bo17b2ob2o19b2o3bo18b2obo20b3o20bo5bo17b2ob2o
19b2o3bo18b2obo20b3o20bo5bo17b2ob2o19b2o3bo18b2obo20b3o20bo5bo17b2ob2o
19b2o3bo18b2obo20b3o20bo5bo17b2ob2o19b2o3bo18b2obo$34b6o3bobo30bobo3bo
11b2obo19b4o2bo17bo3bo19bo2bo20bo2b3o18b2obo19b4o2bo17bo3bo19bo2bo20bo
2b3o18b2obo19b4o2bo17bo3bo19bo2bo20bo2b3o18b2obo19b4o2bo17bo3bo19bo2bo
20bo2b3o18b2obo19b4o2bo17bo3bo19bo2bo20bo2b3o18b2obo19b4o2bo17bo3bo19b
o2bo20bo2b3o18b2obo19b4o2bo17bo3bo19bo2bo20bo2b3o18b2obo19b4o2bo17bo3b
o19bo2bo20bo2b3o18b2obo19b4o2bo17bo3bo19bo2bo20bo2b3o18b2obo19b4o2bo
17bo3bo19bo2bo20bo2b3o18b2obo19b4o2bo17bo3bo19bo2bo20bo2b3o18b2obo19b
4o2bo$34bo2bo37bo2bob2o13b2o3bob2o21bo19b2obo2bo14b4o3bo19bo2bo17b2o3b
ob2o21bo19b2obo2bo14b4o3bo19bo2bo17b2o3bob2o21bo19b2obo2bo14b4o3bo19bo
2bo17b2o3bob2o21bo19b2obo2bo14b4o3bo19bo2bo17b2o3bob2o21bo19b2obo2bo
14b4o3bo19bo2bo17b2o3bob2o21bo19b2obo2bo14b4o3bo19bo2bo17b2o3bob2o21bo
19b2obo2bo14b4o3bo19bo2bo17b2o3bob2o21bo19b2obo2bo14b4o3bo19bo2bo17b2o
3bob2o21bo19b2obo2bo14b4o3bo19bo2bo17b2o3bob2o21bo19b2obo2bo14b4o3bo
19bo2bo17b2o3bob2o21bo19b2obo2bo14b4o3bo19bo2bo17b2o3bob2o21bo$34b2ob
10o15b2o2b2o6bo3b3o14bo2b6o17b5o17bobob2o2bo17b6o17b2ob2o3bo13bo2b6o
17b5o17bobob2o2bo17b6o17b2ob2o3bo13bo2b6o17b5o17bobob2o2bo17b6o17b2ob
2o3bo13bo2b6o17b5o17bobob2o2bo17b6o17b2ob2o3bo13bo2b6o17b5o17bobob2o2b
o17b6o17b2ob2o3bo13bo2b6o17b5o17bobob2o2bo17b6o17b2ob2o3bo13bo2b6o17b
5o17bobob2o2bo17b6o17b2ob2o3bo13bo2b6o17b5o17bobob2o2bo17b6o17b2ob2o3b
o13bo2b6o17b5o17bobob2o2bo17b6o17b2ob2o3bo13bo2b6o17b5o17bobob2o2bo17b
6o17b2ob2o3bo13bo2b6o17b5o17bobob2o2bo17b6o17b2ob2o3bo13bo2b6o17b5o$
36bo12bo11b2o11bo7bo2bo10bo10bo12bo6bo2bo22bob2o10bo7bo2bo12bo9bo2bo
10bo10bo12bo6bo2bo22bob2o10bo7bo2bo12bo9bo2bo10bo10bo12bo6bo2bo22bob2o
10bo7bo2bo12bo9bo2bo10bo10bo12bo6bo2bo22bob2o10bo7bo2bo12bo9bo2bo10bo
10bo12bo6bo2bo22bob2o10bo7bo2bo12bo9bo2bo10bo10bo12bo6bo2bo22bob2o10bo
7bo2bo12bo9bo2bo10bo10bo12bo6bo2bo22bob2o10bo7bo2bo12bo9bo2bo10bo10bo
12bo6bo2bo22bob2o10bo7bo2bo12bo9bo2bo10bo10bo12bo6bo2bo22bob2o10bo7bo
2bo12bo9bo2bo10bo10bo12bo6bo2bo22bob2o10bo7bo2bo12bo9bo2bo10bo10bo12bo
6bo2bo22bob2o10bo7bo2bo12bo9bo2bo10bo10bo12bo6bo2bo$37b13o12bob2o3b3ob
10o2bo9b14o10b12o3bo8b14o10b12o12b11o2bo9b14o10b12o3bo8b14o10b12o12b
11o2bo9b14o10b12o3bo8b14o10b12o12b11o2bo9b14o10b12o3bo8b14o10b12o12b
11o2bo9b14o10b12o3bo8b14o10b12o12b11o2bo9b14o10b12o3bo8b14o10b12o12b
11o2bo9b14o10b12o3bo8b14o10b12o12b11o2bo9b14o10b12o3bo8b14o10b12o12b
11o2bo9b14o10b12o3bo8b14o10b12o12b11o2bo9b14o10b12o3bo8b14o10b12o12b
11o2bo9b14o10b12o3bo8b14o10b12o12b11o2bo9b14o10b12o3bo$65bo3bo2bo14bob
2o3bo14bo2bo5bo16bo2bo3bo17bo4bo14bo2bo6bo15bob2o3bo14bo2bo5bo16bo2bo
3bo17bo4bo14bo2bo6bo15bob2o3bo14bo2bo5bo16bo2bo3bo17bo4bo14bo2bo6bo15b
ob2o3bo14bo2bo5bo16bo2bo3bo17bo4bo14bo2bo6bo15bob2o3bo14bo2bo5bo16bo2b
o3bo17bo4bo14bo2bo6bo15bob2o3bo14bo2bo5bo16bo2bo3bo17bo4bo14bo2bo6bo
15bob2o3bo14bo2bo5bo16bo2bo3bo17bo4bo14bo2bo6bo15bob2o3bo14bo2bo5bo16b
o2bo3bo17bo4bo14bo2bo6bo15bob2o3bo14bo2bo5bo16bo2bo3bo17bo4bo14bo2bo6b
o15bob2o3bo14bo2bo5bo16bo2bo3bo17bo4bo14bo2bo6bo15bob2o3bo14bo2bo5bo
16bo2bo3bo17bo4bo14bo2bo6bo15bob2o3bo14bo2bo5bo16bo2bo$37b13o19b2ob19o
3b19o4b19o2bo3b20o3b19o3bob21o3b19o4b19o2bo3b20o3b19o3bob21o3b19o4b19o
2bo3b20o3b19o3bob21o3b19o4b19o2bo3b20o3b19o3bob21o3b19o4b19o2bo3b20o3b
19o3bob21o3b19o4b19o2bo3b20o3b19o3bob21o3b19o4b19o2bo3b20o3b19o3bob21o
3b19o4b19o2bo3b20o3b19o3bob21o3b19o4b19o2bo3b20o3b19o3bob21o3b19o4b19o
2bo3b20o3b19o3bob21o3b19o4b19o2bo3b20o3b19o3bob21o3b19o4b19o2bo$36bo
12bo9b2o3bo49bo25bo21bo25bo44bo25bo21bo25bo44bo25bo21bo25bo44bo25bo21b
o25bo44bo25bo21bo25bo44bo25bo21bo25bo44bo25bo21bo25bo44bo25bo21bo25bo
44bo25bo21bo25bo44bo25bo21bo25bo44bo25bo21bo25bo44bo25bobo$34b2ob10o7b
2o2bo12b1381o$34bo2bo15bob4obobo3bo3bo$34b6o3bobo6b2o2bobo7b2o3b1381o$
38b2obo2bo8bobo6bo6bo1379bobo$42b3o9bob4o2b1383o2bo$1444bo2bo$42b3o7b
1388o3bo$38b2obo2bo6bo1384bo2bo$34b6o3bobo4bo3b5ob2o3b2obob1365o$34bo
2bo12bo3bo3bobo5bob2obo1359bo2bo$34b2ob10o3bo4b2o4b5o2b2o3b1358o$36bo
11bobobo2bo7bo2bo3bo2bobo1353bo$37b12ob2o3b4o2bo3b2ob2obobob8o3bob6o3b
ob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o
3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob
6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3b
ob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o
3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob
6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3b
ob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o
3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob
6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3b
ob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o
3bob6o3bob6o3bob6o3bob7o$54bo7bobo4b2ob2obobo2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobo
bob3o2bob2o$39b15o6bo14bo9bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo
10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo
10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo
10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo
10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo
10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo
10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo
10bo10bo10bo10bo10bo10bo10bo10bo10bo$39bo20bo5bo7b3o$39b15o6bo14bo9bo
10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo
10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo
10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo
10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo
10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo
10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo
10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo10bo
10bo10bo$54bo7bobo4b2ob2obobo2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o
2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bobobob3o2bob2o$37b
12ob2o3b4o2bo3b2ob2obobob8o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o
3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob
6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3b
ob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o
3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob
6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3b
ob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o
3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob
6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3b
ob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o
3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob6o3bob7o$36bo11bob
obo2bo7bo2bo3bo2bobo1353bo$34b2ob10o3bo4b2o4b5o2b2o3b1358o$34bo2bo12bo
3bo3bobo5bob2obo1359bo2bo$34b6o3bobo4bo3b5ob2o3b2obob1365o$38b2obo2bo
6bo1384bo2bo$42b3o7b1388o3bo$1444bo2bo$42b3o9bob4o2b1383o2bo$38b2obo2b
o8bobo6bo6bo1379bobo$34b6o3bobo6b2o2bobo7b2o3b1381o$34bo2bo15bob4obobo
3bo3bo$34b2ob10o7b2o2bo12b1381o$36bo12bo9b2o3bo49bo25bo21bo25bo44bo25b
o21bo25bo44bo25bo21bo25bo44bo25bo21bo25bo44bo25bo21bo25bo44bo25bo21bo
25bo44bo25bo21bo25bo44bo25bo21bo25bo44bo25bo21bo25bo44bo25bo21bo25bo
44bo25bo21bo25bo44bo25bobo$37b13o19b2ob19o3b19o4b19o2bo3b20o3b19o3bob
21o3b19o4b19o2bo3b20o3b19o3bob21o3b19o4b19o2bo3b20o3b19o3bob21o3b19o4b
19o2bo3b20o3b19o3bob21o3b19o4b19o2bo3b20o3b19o3bob21o3b19o4b19o2bo3b
20o3b19o3bob21o3b19o4b19o2bo3b20o3b19o3bob21o3b19o4b19o2bo3b20o3b19o3b
ob21o3b19o4b19o2bo3b20o3b19o3bob21o3b19o4b19o2bo3b20o3b19o3bob21o3b19o
4b19o2bo3b20o3b19o3bob21o3b19o4b19o2bo$65bo3bo2bo14bob2o3bo14bo2bo5bo
16bo2bo3bo17bo4bo14bo2bo6bo15bob2o3bo14bo2bo5bo16bo2bo3bo17bo4bo14bo2b
o6bo15bob2o3bo14bo2bo5bo16bo2bo3bo17bo4bo14bo2bo6bo15bob2o3bo14bo2bo5b
o16bo2bo3bo17bo4bo14bo2bo6bo15bob2o3bo14bo2bo5bo16bo2bo3bo17bo4bo14bo
2bo6bo15bob2o3bo14bo2bo5bo16bo2bo3bo17bo4bo14bo2bo6bo15bob2o3bo14bo2bo
5bo16bo2bo3bo17bo4bo14bo2bo6bo15bob2o3bo14bo2bo5bo16bo2bo3bo17bo4bo14b
o2bo6bo15bob2o3bo14bo2bo5bo16bo2bo3bo17bo4bo14bo2bo6bo15bob2o3bo14bo2b
o5bo16bo2bo3bo17bo4bo14bo2bo6bo15bob2o3bo14bo2bo5bo16bo2bo3bo17bo4bo
14bo2bo6bo15bob2o3bo14bo2bo5bo16bo2bo$37b13o12bob2o3b3ob10o2bo9b14o10b
12o3bo8b14o10b12o12b11o2bo9b14o10b12o3bo8b14o10b12o12b11o2bo9b14o10b
12o3bo8b14o10b12o12b11o2bo9b14o10b12o3bo8b14o10b12o12b11o2bo9b14o10b
12o3bo8b14o10b12o12b11o2bo9b14o10b12o3bo8b14o10b12o12b11o2bo9b14o10b
12o3bo8b14o10b12o12b11o2bo9b14o10b12o3bo8b14o10b12o12b11o2bo9b14o10b
12o3bo8b14o10b12o12b11o2bo9b14o10b12o3bo8b14o10b12o12b11o2bo9b14o10b
12o3bo8b14o10b12o12b11o2bo9b14o10b12o3bo$36bo12bo11b2o11bo7bo2bo10bo
10bo12bo6bo2bo22bob2o10bo7bo2bo12bo9bo2bo10bo10bo12bo6bo2bo22bob2o10bo
7bo2bo12bo9bo2bo10bo10bo12bo6bo2bo22bob2o10bo7bo2bo12bo9bo2bo10bo10bo
12bo6bo2bo22bob2o10bo7bo2bo12bo9bo2bo10bo10bo12bo6bo2bo22bob2o10bo7bo
2bo12bo9bo2bo10bo10bo12bo6bo2bo22bob2o10bo7bo2bo12bo9bo2bo10bo10bo12bo
6bo2bo22bob2o10bo7bo2bo12bo9bo2bo10bo10bo12bo6bo2bo22bob2o10bo7bo2bo
12bo9bo2bo10bo10bo12bo6bo2bo22bob2o10bo7bo2bo12bo9bo2bo10bo10bo12bo6bo
2bo22bob2o10bo7bo2bo12bo9bo2bo10bo10bo12bo6bo2bo22bob2o10bo7bo2bo12bo
9bo2bo10bo10bo12bo6bo2bo$34b2ob10o15b2o2b2o6bo3b3o14bo2b6o17b5o17bobob
2o2bo17b6o17b2ob2o3bo13bo2b6o17b5o17bobob2o2bo17b6o17b2ob2o3bo13bo2b6o
17b5o17bobob2o2bo17b6o17b2ob2o3bo13bo2b6o17b5o17bobob2o2bo17b6o17b2ob
2o3bo13bo2b6o17b5o17bobob2o2bo17b6o17b2ob2o3bo13bo2b6o17b5o17bobob2o2b
o17b6o17b2ob2o3bo13bo2b6o17b5o17bobob2o2bo17b6o17b2ob2o3bo13bo2b6o17b
5o17bobob2o2bo17b6o17b2ob2o3bo13bo2b6o17b5o17bobob2o2bo17b6o17b2ob2o3b
o13bo2b6o17b5o17bobob2o2bo17b6o17b2ob2o3bo13bo2b6o17b5o17bobob2o2bo17b
6o17b2ob2o3bo13bo2b6o17b5o$34bo2bo37bo2bob2o13b2o3bob2o21bo19b2obo2bo
14b4o3bo19bo2bo17b2o3bob2o21bo19b2obo2bo14b4o3bo19bo2bo17b2o3bob2o21bo
19b2obo2bo14b4o3bo19bo2bo17b2o3bob2o21bo19b2obo2bo14b4o3bo19bo2bo17b2o
3bob2o21bo19b2obo2bo14b4o3bo19bo2bo17b2o3bob2o21bo19b2obo2bo14b4o3bo
19bo2bo17b2o3bob2o21bo19b2obo2bo14b4o3bo19bo2bo17b2o3bob2o21bo19b2obo
2bo14b4o3bo19bo2bo17b2o3bob2o21bo19b2obo2bo14b4o3bo19bo2bo17b2o3bob2o
21bo19b2obo2bo14b4o3bo19bo2bo17b2o3bob2o21bo19b2obo2bo14b4o3bo19bo2bo
17b2o3bob2o21bo$34b6o3bobo30bobo3bo11b2obo19b4o2bo17bo3bo19bo2bo20bo2b
3o18b2obo19b4o2bo17bo3bo19bo2bo20bo2b3o18b2obo19b4o2bo17bo3bo19bo2bo
20bo2b3o18b2obo19b4o2bo17bo3bo19bo2bo20bo2b3o18b2obo19b4o2bo17bo3bo19b
o2bo20bo2b3o18b2obo19b4o2bo17bo3bo19bo2bo20bo2b3o18b2obo19b4o2bo17bo3b
o19bo2bo20bo2b3o18b2obo19b4o2bo17bo3bo19bo2bo20bo2b3o18b2obo19b4o2bo
17bo3bo19bo2bo20bo2b3o18b2obo19b4o2bo17bo3bo19bo2bo20bo2b3o18b2obo19b
4o2bo17bo3bo19bo2bo20bo2b3o18b2obo19b4o2bo$38b2obo2bo33b2o13b2o3bo18b
2obo20b3o20bo5bo17b2ob2o19b2o3bo18b2obo20b3o20bo5bo17b2ob2o19b2o3bo18b
2obo20b3o20bo5bo17b2ob2o19b2o3bo18b2obo20b3o20bo5bo17b2ob2o19b2o3bo18b
2obo20b3o20bo5bo17b2ob2o19b2o3bo18b2obo20b3o20bo5bo17b2ob2o19b2o3bo18b
2obo20b3o20bo5bo17b2ob2o19b2o3bo18b2obo20b3o20bo5bo17b2ob2o19b2o3bo18b
2obo20b3o20bo5bo17b2ob2o19b2o3bo18b2obo20b3o20bo5bo17b2ob2o19b2o3bo18b
2obo20b3o20bo5bo17b2ob2o19b2o3bo18b2obo$42b3o72b3ob2o18bobo21bo4bo18bo
2bo43b3ob2o18bobo21bo4bo18bo2bo43b3ob2o18bobo21bo4bo18bo2bo43b3ob2o18b
obo21bo4bo18bo2bo43b3ob2o18bobo21bo4bo18bo2bo43b3ob2o18bobo21bo4bo18bo
2bo43b3ob2o18bobo21bo4bo18bo2bo43b3ob2o18bobo21bo4bo18bo2bo43b3ob2o18b
obo21bo4bo18bo2bo43b3ob2o18bobo21bo4bo18bo2bo43b3ob2o18bobo21bo4bo18bo
2bo43b3ob2o$94b2o23b3o20b2o48bo20b2o23b3o20b2o48bo20b2o23b3o20b2o48bo
20b2o23b3o20b2o48bo20b2o23b3o20b2o48bo20b2o23b3o20b2o48bo20b2o23b3o20b
2o48bo20b2o23b3o20b2o48bo20b2o23b3o20b2o48bo20b2o23b3o20b2o48bo20b2o
23b3o20b2o48bo20b2o23b3o$42b3o49bo22b2ob2o19b3o21b2o22bobo21bo22b2ob2o
19b3o21b2o22bobo21bo22b2ob2o19b3o21b2o22bobo21bo22b2ob2o19b3o21b2o22bo
bo21bo22b2ob2o19b3o21b2o22bobo21bo22b2ob2o19b3o21b2o22bobo21bo22b2ob2o
19b3o21b2o22bobo21bo22b2ob2o19b3o21b2o22bobo21bo22b2ob2o19b3o21b2o22bo
bo21bo22b2ob2o19b3o21b2o22bobo21bo22b2ob2o19b3o21b2o22bobo21bo22b2ob2o
$38b2obo2bo48bo23bo2bo20bo22bo23b2obo20bo23bo2bo20bo22bo23b2obo20bo23b
o2bo20bo22bo23b2obo20bo23bo2bo20bo22bo23b2obo20bo23bo2bo20bo22bo23b2ob
o20bo23bo2bo20bo22bo23b2obo20bo23bo2bo20bo22bo23b2obo20bo23bo2bo20bo
22bo23b2obo20bo23bo2bo20bo22bo23b2obo20bo23bo2bo20bo22bo23b2obo20bo23b
o2bo20bo22bo23b2obo20bo23bo2bo$34b6o3bobo48b3o20b2ob2o19bo2bo20b2o22b
2o22b3o20b2ob2o19bo2bo20b2o22b2o22b3o20b2ob2o19bo2bo20b2o22b2o22b3o20b
2ob2o19bo2bo20b2o22b2o22b3o20b2ob2o19bo2bo20b2o22b2o22b3o20b2ob2o19bo
2bo20b2o22b2o22b3o20b2ob2o19bo2bo20b2o22b2o22b3o20b2ob2o19bo2bo20b2o
22b2o22b3o20b2ob2o19bo2bo20b2o22b2o22b3o20b2ob2o19bo2bo20b2o22b2o22b3o
20b2ob2o19bo2bo20b2o22b2o22b3o20b2ob2o$34bo2bo56b3o22b3o20bo2bo20b2o2b
o20bobo19b3o22b3o20bo2bo20b2o2bo20bobo19b3o22b3o20bo2bo20b2o2bo20bobo
19b3o22b3o20bo2bo20b2o2bo20bobo19b3o22b3o20bo2bo20b2o2bo20bobo19b3o22b
3o20bo2bo20b2o2bo20bobo19b3o22b3o20bo2bo20b2o2bo20bobo19b3o22b3o20bo2b
o20b2o2bo20bobo19b3o22b3o20bo2bo20b2o2bo20bobo19b3o22b3o20bo2bo20b2o2b
o20bobo19b3o22b3o20bo2bo20b2o2bo20bobo19b3o22b3o$34b2ob10o12bo36bo24bo
22b2o46bo22bo24bo22b2o46bo22bo24bo22b2o46bo22bo24bo22b2o46bo22bo24bo
22b2o46bo22bo24bo22b2o46bo22bo24bo22b2o46bo22bo24bo22b2o46bo22bo24bo
22b2o46bo22bo24bo22b2o46bo22bo24bo22b2o46bo22bo24bo$36bo11bob2o6b5o35b
o22b2o22b2o21bo48bo22b2o22b2o21bo48bo22b2o22b2o21bo48bo22b2o22b2o21bo
48bo22b2o22b2o21bo48bo22b2o22b2o21bo48bo22b2o22b2o21bo48bo22b2o22b2o
21bo48bo22b2o22b2o21bo48bo22b2o22b2o21bo48bo22b2o22b2o21bo48bo22b2o$
37b12ob2o5b2o4bo33bobo21b2o22bobo21b2o21b2o22bobo21b2o22bobo21b2o21b2o
22bobo21b2o22bobo21b2o21b2o22bobo21b2o22bobo21b2o21b2o22bobo21b2o22bob
o21b2o21b2o22bobo21b2o22bobo21b2o21b2o22bobo21b2o22bobo21b2o21b2o22bob
o21b2o22bobo21b2o21b2o22bobo21b2o22bobo21b2o21b2o22bobo21b2o22bobo21b
2o21b2o22bobo21b2o22bobo21b2o21b2o22bobo21b2o$50b2o6bo4bo34b2o44bo24b
2o21bo24b2o44bo24b2o21bo24b2o44bo24b2o21bo24b2o44bo24b2o21bo24b2o44bo
24b2o21bo24b2o44bo24b2o21bo24b2o44bo24b2o21bo24b2o44bo24b2o21bo24b2o
44bo24b2o21bo24b2o44bo24b2o21bo24b2o44bo24b2o21bo24b2o$39b12obo6b2o35b
5o18bo2bo20bo4bo42b2o22b5o18bo2bo20bo4bo42b2o22b5o18bo2bo20bo4bo42b2o
22b5o18bo2bo20bo4bo42b2o22b5o18bo2bo20bo4bo42b2o22b5o18bo2bo20bo4bo42b
2o22b5o18bo2bo20bo4bo42b2o22b5o18bo2bo20bo4bo42b2o22b5o18bo2bo20bo4bo
42b2o22b5o18bo2bo20bo4bo42b2o22b5o18bo2bo20bo4bo42b2o22b5o18bo2bo$38bo
3bo9b2o5bo35b3o21bo4b2o17bo5bo16b3o2b2o17b3o2b2o17b3o21bo4b2o17bo5bo
16b3o2b2o17b3o2b2o17b3o21bo4b2o17bo5bo16b3o2b2o17b3o2b2o17b3o21bo4b2o
17bo5bo16b3o2b2o17b3o2b2o17b3o21bo4b2o17bo5bo16b3o2b2o17b3o2b2o17b3o
21bo4b2o17bo5bo16b3o2b2o17b3o2b2o17b3o21bo4b2o17bo5bo16b3o2b2o17b3o2b
2o17b3o21bo4b2o17bo5bo16b3o2b2o17b3o2b2o17b3o21bo4b2o17bo5bo16b3o2b2o
17b3o2b2o17b3o21bo4b2o17bo5bo16b3o2b2o17b3o2b2o17b3o21bo4b2o17bo5bo16b
3o2b2o17b3o2b2o17b3o21bo4b2o$36b2o2b2o3b2ob3ob2o2bobo36bo2bob2o17bo3bo
19bo2b2o19bobo21bo3b2o17bo2bob2o17bo3bo19bo2b2o19bobo21bo3b2o17bo2bob
2o17bo3bo19bo2b2o19bobo21bo3b2o17bo2bob2o17bo3bo19bo2b2o19bobo21bo3b2o
17bo2bob2o17bo3bo19bo2b2o19bobo21bo3b2o17bo2bob2o17bo3bo19bo2b2o19bobo
21bo3b2o17bo2bob2o17bo3bo19bo2b2o19bobo21bo3b2o17bo2bob2o17bo3bo19bo2b
2o19bobo21bo3b2o17bo2bob2o17bo3bo19bo2b2o19bobo21bo3b2o17bo2bob2o17bo
3bo19bo2b2o19bobo21bo3b2o17bo2bob2o17bo3bo19bo2b2o19bobo21bo3b2o17bo2b
ob2o17bo3bo$36bo3bo4b2ob2o4b2o2bo37b3o21b6o18b4o20bo3bo19bo2bo19b3o21b
6o18b4o20bo3bo19bo2bo19b3o21b6o18b4o20bo3bo19bo2bo19b3o21b6o18b4o20bo
3bo19bo2bo19b3o21b6o18b4o20bo3bo19bo2bo19b3o21b6o18b4o20bo3bo19bo2bo
19b3o21b6o18b4o20bo3bo19bo2bo19b3o21b6o18b4o20bo3bo19bo2bo19b3o21b6o
18b4o20bo3bo19bo2bo19b3o21b6o18b4o20bo3bo19bo2bo19b3o21b6o18b4o20bo3bo
19bo2bo19b3o21b6o$36b4o81b2o22bo22bo3bo19b2o46b2o22bo22bo3bo19b2o46b2o
22bo22bo3bo19b2o46b2o22bo22bo3bo19b2o46b2o22bo22bo3bo19b2o46b2o22bo22b
o3bo19b2o46b2o22bo22bo3bo19b2o46b2o22bo22bo3bo19b2o46b2o22bo22bo3bo19b
2o46b2o22bo22bo3bo19b2o46b2o22bo22bo3bo19b2o46b2o$41b2o12b2o$41b2o$40b
o3b2o$41b5o$41b2obo!
Note that this is in no way optimized.

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dvgrn
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Re: Spaceship Discussion Thread

Post by dvgrn » August 26th, 2020, 5:00 pm

HartmutHolzwart wrote:
August 26th, 2020, 4:09 pm
Here is the 2c/5 wick featured in the arbitrary wide grey ship shown in its long form:

Code: Select all

x = 1517, y = 163, rule = B3/S23...
Note that this is in no way optimized.
I'll say! I didn't find any halfway points between that long form and the short form.

Is the short form posted somewhere on previous pages? I couldn't seem to find it, so here's a quick rebuild just in case:

Code: Select all

x = 109, y = 89, rule = B3/S23
7b2obo$7b5o$6bo3b2o$7b2o$7b2o12b2o$2b4o81b2o$2bo3bo4b2ob2o4b2o2bo37b3o
21b6o$2b2o2b2o3b2ob3ob2o2bobo36bo2bob2o17bo3bo$4bo3bo9b2o5bo35b3o21bo
4b2o$5b12obo6b2o35b5o18bo2bo$16b2o6bo4bo34b2o$3b12ob2o5b2o4bo33bobo21b
2o$2bo11bob2o6b5o35bo22b2o$2ob10o12bo36bo24bo$o2bo56b3o22b3o$6o3bobo
48b3o20b2ob2o$4b2obo2bo48bo23bo2bo$8b3o49bo22b2ob2o$60b2o23b3o$8b3o72b
3ob2o$4b2obo2bo33b2o13b2o3bo18b2obo$6o3bobo30bobo3bo11b2obo19b4o2bo$o
2bo37bo2bob2o13b2o3bob2o21bo$2ob10o15b2o2b2o6bo3b3o14bo2b6o17b5o$2bo
12bo11b2o11bo7bo2bo10bo10bo12bo6bo2bo$3b13o12bob2o3b3ob10o2bo9b14o10b
12o3bo$31bo3bo2bo14bob2o3bo14bo2bo5bo16bo2bo$3b13o19b2ob19o3b19o4b19o
2bo$2bo12bo9b2o3bo49bo25bobo$2ob10o7b2o2bo12b72o$o2bo15bob4obobo3bo3bo
$6o3bobo6b2o2bobo7b2o3b72o$4b2obo2bo8bobo6bo6bo70bobo$8b3o9bob4o2b74o
2bo$101bo2bo$8b3o7b79o3bo$4b2obo2bo6bo75bo2bo$6o3bobo4bo3b5ob2o3b2obob
56o$o2bo12bo3bo3bobo5bob2obo50bo2bo$2ob10o3bo4b2o4b5o2b2o3b49o$2bo11bo
bobo2bo7bo2bo3bo2bobo44bo$3b12ob2o3b4o2bo3b2ob2obobob8o3bob6o3bob6o3bo
b7o$20bo7bobo4b2ob2obobo2bobobob3o2bobobob3o2bobobob3o2bob2o$5b15o6bo
14bo9bo10bo10bo$5bo20bo5bo7b3o$5b15o6bo14bo9bo10bo10bo$20bo7bobo4b2ob
2obobo2bobobob3o2bobobob3o2bobobob3o2bob2o$3b12ob2o3b4o2bo3b2ob2obobob
8o3bob6o3bob6o3bob7o$2bo11bobobo2bo7bo2bo3bo2bobo44bo$2ob10o3bo4b2o4b
5o2b2o3b49o$o2bo12bo3bo3bobo5bob2obo50bo2bo$6o3bobo4bo3b5ob2o3b2obob
56o$4b2obo2bo6bo75bo2bo$8b3o7b79o3bo$101bo2bo$8b3o9bob4o2b74o2bo$4b2ob
o2bo8bobo6bo6bo70bobo$6o3bobo6b2o2bobo7b2o3b72o$o2bo15bob4obobo3bo3bo$
2ob10o7b2o2bo12b72o$2bo12bo9b2o3bo49bo25bobo$3b13o19b2ob19o3b19o4b19o
2bo$31bo3bo2bo14bob2o3bo14bo2bo5bo16bo2bo$3b13o12bob2o3b3ob10o2bo9b14o
10b12o3bo$2bo12bo11b2o11bo7bo2bo10bo10bo12bo6bo2bo$2ob10o15b2o2b2o6bo
3b3o14bo2b6o17b5o$o2bo37bo2bob2o13b2o3bob2o21bo$6o3bobo30bobo3bo11b2ob
o19b4o2bo$4b2obo2bo33b2o13b2o3bo18b2obo$8b3o72b3ob2o$60b2o23b3o$8b3o
49bo22b2ob2o$4b2obo2bo48bo23bo2bo$6o3bobo48b3o20b2ob2o$o2bo56b3o22b3o$
2ob10o12bo36bo24bo$2bo11bob2o6b5o35bo22b2o$3b12ob2o5b2o4bo33bobo21b2o$
16b2o6bo4bo34b2o$5b12obo6b2o35b5o18bo2bo$4bo3bo9b2o5bo35b3o21bo4b2o$2b
2o2b2o3b2ob3ob2o2bobo36bo2bob2o17bo3bo$2bo3bo4b2ob2o4b2o2bo37b3o21b6o$
2b4o81b2o$7b2o12b2o$7b2o$6bo3b2o$7b5o$7b2obo!

HartmutHolzwart
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Re: Spaceship Discussion Thread

Post by HartmutHolzwart » August 26th, 2020, 5:37 pm

:-/

Didn't see the forest among the trees.

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Re: Spaceship Discussion Thread

Post by HartmutHolzwart » September 2nd, 2020, 3:32 pm

A well known c205 against the grain wick can be terminated on the right. Not really useful but sort of a first result:

Code: Select all

x = 86, y = 97, rule = B3/S23
10$40bo2b2o2b2o9bobob2o3b3o$9b31o2bo2bo2b2o2bo2b2obob2o6b2o$40b3o2b2o
2b3o3b2o3b2o4bobo$9b31o3b2o7bo4bobo4b2o$40b9o2bo11bo5b2o$9b31o11bo11b
5o3bo$40b2o4b5o8b3o6bo$9b31o2b4o14bo6bo3bo$40bo2b2o2b3o7b2o3bo7bo$9b
31o2bo2bo5bo3b2o$40b3o2b2ob5o2bo2bo2bo3bob3o$9b31o8b2o2bo3bo3bo3b2o3bo
$40b3o2b3o3b2o10bo6bo$9b31o3b2o6bo8bob9o$40b11o8b3o2b2o2bo$9b31o2bo2bo
4bo7bobo$40b2o4bobo7b2o$9b31o2bo2bo5b2o2b2obo9b2o$40b3o2b4o3bo2bobo6b
3ob2o$9b31o13bo10b3o2b2o$40b9ob3o8b2o4bo2bo$9b31o9bob2o6b2obo3b3obo$
40b2o4b6o10bo5bo$9b31o10bo6b2ob2o$40b3o2b2o4bo3b2ob2o$9b31o2bo2bo2bo2b
2o2bo2bo6bob3o$40b3o2b3o3b5obo6bobo$9b31o9bo3bo9b2o5bo$40b11o2bo6b4o6b
2o$9b31o3b2o15bob2o2bobo$40bo6b2o3bo5bo3bo5b2o$9b31o2bo2bo2bo7b3ob2o$
40b3o2b2o3b3o2b2o3bo7bo$9b31o3b2o5bo7b2o5b4o$40b3o2b4ob2o3b2o6b2ob4o$
9b31o9bobo9bo2b2o4b2o$40b3o2b6o9bo8b3o$9b31o19b2o6b2obo$40bo2b2o2b2o9b
obob2o3b3o$9b31o2bo2bo2b2o2bo2b2obob2o6b2o$40b3o2b2o2b3o3b2o3b2o4bobo$
9b31o3b2o7bo4bobo4b2o$40b9o2bo11bo5b2o$9b31o11bo11b5o3bo$40b2o4b5o8b3o
6bo$9b31o2b4o14bo6bo3bo$40bo2b2o2b3o7b2o3bo7bo$9b31o2bo2bo5bo3b2o$40b
3o2b2ob5o2bo2bo2bo3bob3o$9b31o8b2o2bo3bo3bo3b2o3bo$40b3o2b3o3b2o10bo6b
o$9b31o3b2o6bo8bob9o$40b11o8b3o2b2o2bo$9b31o2bo2bo4bo7bobo$40b2o4bobo
7b2o$9b31o2bo2bo5b2o2b2obo9b2o$40b3o2b4o3bo2bobo6b3ob2o$9b31o13bo10b3o
2b2o$40b9ob3o8b2o4bo2bo$9b31o9bob2o6b2obo3b3obo$40b2o4b6o10bo5bo$9b31o
10bo6b2ob2o$40b3o2b2o4bo3b2ob2o$9b31o2bo2bo2bo2b2o2bo2bo6bob3o$40b3o2b
3o3b5obo6bobo$9b31o9bo3bo9b2o5bo$40b11o2bo6b4o6b2o$9b31o3b2o15bob2o2bo
bo$40bo6b2o3bo5bo3bo5b2o$9b31o2bo2bo2bo7b3ob2o$40b3o2b2o3b3o2b2o3bo7bo
$9b31o3b2o5bo7b2o5b4o$40b3o2b4ob2o3b2o6b2ob4o$9b31o9bobo9bo2b2o4b2o$
40b3o2b6o9bo8b3o$9b31o19b2o6b2obo!

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LaundryPizza03
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Re: Spaceship Discussion Thread

Post by LaundryPizza03 » September 9th, 2020, 10:21 pm

I noticed that Adam P. Goucher uploaded a large (2,1)c/7 search from ikpx2 between August 27 and 31, although he didn't find anything. The partials are filed at ikpx2_k7_stdin_test.

One of the last partials found was:

Code: Select all

x = 22, y = 77, rule = B3/S23
b3o$b3o$o2bo$2o2bob2o$3b6o$2b2obo3bo$2b2o2bo$2b2o2bo$5bo$5b2ob3o$7b2o
2$8bob2o$6bobob2o2$8bo2bo3bo$13b3o$7bob2ob2obo$8bo4b3o$11bo2bobo$15bob
o$10b3ob2ob2o$15b2o$13b2o$12b2o3bobo$10bobo4b3o$10b3o2bo2bo$10bobo$12b
2o$10bobo$10b4ob5o$16bob2o$10bo7bo$10b2o2b5o$18bo$15b3obo$15b2ob3o$12b
3o5b2o$12b2o3bob3o$12b2o3bobobo$11bo2bo2$10b2obo$11bo$8bo$7b4obob2o$7b
o2bo3b3o$8b3o6bo$9bo5bo2bo$6bob2o5bo$6bobo9bo$11b2o$11bo3bobo$11bo2b2o
b2o$16bobo$12bo3bo2b2o$11b3o$10b2o2b2o$12b3o2$10b2o$10b4o$10b2obobo$
12bo2bo2$10b2o$10b2o2bo$9bo2bobo$8b2ob4o$9bobo$10bo$14bo$8b2o2b2o$7bo
2bobo$12b2ob2ob2o$15b2o$20bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

The latest edition of new-gliders.db.txt and oscillators.db.txt have 31150 spaceships and 1205 oscillators from outer-totalistic rules. You are invited to help!

MathAndCode
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Re: Spaceship Discussion Thread

Post by MathAndCode » September 12th, 2020, 8:14 pm

Are there any c/2 spaceships whose forward propulsion mechanism has an even number of cells at the leading edge instead of an odd number of cells? I have mentioned a partial that I found here.
Marine has a non-centered Moore neighborhood and at least one gun with a very high period (11,843).
I'm in the process of reducing the glider cost of universal construction.

wildmyron
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Re: Spaceship Discussion Thread

Post by wildmyron » September 12th, 2020, 9:26 pm

MathAndCode wrote:
September 12th, 2020, 8:14 pm
Are there any c/2 spaceships whose forward propulsion mechanism has an even number of cells at the leading edge instead of an odd number of cells? I have mentioned a partial that I found here.
There's a way of supporting a similar partial from behind, but it still requires odd leading edge components so I'm not sure if it is within the spirit of what you're looking for.

Code: Select all

x = 60, y = 30
$8bo31boobo$7boo12boo15b4oboo$6bob3o7b5obo12boo4boo$5boo3b3o4bo4bobboboo5boo4bo
bbo$6b4oboobb3o5b3o9b3o3boboo$7bobboobobbo4bobbo3bobb3obbobboobboo$9boobobbo5bo
3bobbo4bobo5bo7bo$4boobbo9bo5bo6bo7b3o6bobo$3b3oboobbo6boobobb6obo6bobbo4b3o5b4o
$bboobb3o8bobo9bo7boobo3boobobb4o4bo$4bo3bo3bo3boobbo5bo11boo4boo6bo$bbobbo8boob
o3b6o12boboo6bo3bo4bo$bbob4o4bobobbob7o15boobo3bo6boo$bo5boboo10b3o18boo$bo5bob
oo10b3o18boo$bbob4o4bobobbob7o15boobo3bo6boo$bbobbo8boobo3b6o12boboo6bo3bo4bo$4b
o3bo3bo3boobbo5bo11boo4boo6bo$bboobb3o8bobo9bo7boobo3boobobb4o4bo$3b3oboobbo6boo
bobb6obo6bobbo4b3o5b4o$4boobbo9bo5bo6bo7b3o6bobo$9boobobbo5bo3bobbo4bobo5bo7bo$
7bobboobobbo4bobbo3bobb3obbobboobboo$6b4oboobb3o5b3o9b3o3boboo$5boo3b3o4bo4bobbo
boo5boo4bobbo$6bob3o7b5obo12boo4boo$7boo12boo15b4oboo$8bo31boobo!
There's almost certainly something smaller, first I found
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

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Re: Spaceship Discussion Thread

Post by MathAndCode » September 12th, 2020, 9:30 pm

wildmyron wrote:
September 12th, 2020, 9:26 pm
MathAndCode wrote:
September 12th, 2020, 8:14 pm
Are there any c/2 spaceships whose forward propulsion mechanism has an even number of cells at the leading edge instead of an odd number of cells? I have mentioned a partial that I found here.
There's a way of supporting a similar partial from behind, but it still requires odd leading edge components so I'm not sure if it is within the spirit of what you're looking for.

Code: Select all

x = 60, y = 30
$8bo31boobo$7boo12boo15b4oboo$6bob3o7b5obo12boo4boo$5boo3b3o4bo4bobboboo5boo4bo
bbo$6b4oboobb3o5b3o9b3o3boboo$7bobboobobbo4bobbo3bobb3obbobboobboo$9boobobbo5bo
3bobbo4bobo5bo7bo$4boobbo9bo5bo6bo7b3o6bobo$3b3oboobbo6boobobb6obo6bobbo4b3o5b4o
$bboobb3o8bobo9bo7boobo3boobobb4o4bo$4bo3bo3bo3boobbo5bo11boo4boo6bo$bbobbo8boob
o3b6o12boboo6bo3bo4bo$bbob4o4bobobbob7o15boobo3bo6boo$bo5boboo10b3o18boo$bo5bob
oo10b3o18boo$bbob4o4bobobbob7o15boobo3bo6boo$bbobbo8boobo3b6o12boboo6bo3bo4bo$4b
o3bo3bo3boobbo5bo11boo4boo6bo$bboobb3o8bobo9bo7boobo3boobobb4o4bo$3b3oboobbo6boo
bobb6obo6bobbo4b3o5b4o$4boobbo9bo5bo6bo7b3o6bobo$9boobobbo5bo3bobbo4bobo5bo7bo$
7bobboobobbo4bobbo3bobb3obbobboobboo$6b4oboobb3o5b3o9b3o3boboo$5boo3b3o4bo4bobbo
boo5boo4bobbo$6bob3o7b5obo12boo4boo$7boo12boo15b4oboo$8bo31boobo!
There's almost certainly something smaller, first I found
Yes; I'd prefer for something with only even leading-edge components. Otherwise I could have simply used this.

Code: Select all

x = 32, y = 8, rule = B3/S23
6bo18bo$5b3o16b3o$3b2ob3o14b3ob2o$4bo2bob2o4b2o4b2obo2bo$b2obo4bobob2o2b2obobo4bob2o$b2obobo2bobo8bobo2bobob2o$bo8b3obo2bob3o8bo$2o7b2o10b2o7b2o!
However, yours is slightly closer because the even leading-edge component is in front of the odd leading-edge component, so thank you.
Marine has a non-centered Moore neighborhood and at least one gun with a very high period (11,843).
I'm in the process of reducing the glider cost of universal construction.

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JP21
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Re: Spaceship Discussion Thread

Post by JP21 » September 13th, 2020, 1:23 am

This c/3 is cross-posted.

Code: Select all

x = 50, y = 41, rule = B3/S23
24b2o$24b2o3$24b2o$24b2o3$24b2o$24b2o3$24b2o$24b2o3$24b2o$24b2o3$24b2o
$24b2o6$6b3o5b3o16b3o5b3o$3b4o3bob2o3bo14bo3b2obo3b4o$2bo7b2o3b3o2b3o
4b3o2b3o3b2o7bo$2bob2o2bo3bo4b3obobo2bobob3o4bo3bo2b2obo$b2o14bo4bo4bo
4bo14b2o$3o15b2o10b2o15b3o$2bobo40bobo$4b2o5b3o10b2o10b3o5b2o$3bo2bo3b
o9b2obo2bob2o9bo3bo2bo$8b3o4bo4b2o6b2o4bo4b3o$8bobob5o2bobobo2bobobo2b
5obobo$6bo6bo2bo2b2o8b2o2bo2bo6bo$7bo34bo$19bo10bo!
I don't have the tools to find a smaller symmetrical c/3 block eater so that's it.
I don't think this is the right thread to post this.

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Re: Spaceship Discussion Thread

Post by Entity Valkyrie 2 » September 13th, 2020, 6:06 am

JP21 wrote:
September 13th, 2020, 1:23 am
This c/3 is cross-posted.

Code: Select all

x = 50, y = 41, rule = B3/S23
24b2o$24b2o3$24b2o$24b2o3$24b2o$24b2o3$24b2o$24b2o3$24b2o$24b2o3$24b2o
$24b2o6$6b3o5b3o16b3o5b3o$3b4o3bob2o3bo14bo3b2obo3b4o$2bo7b2o3b3o2b3o
4b3o2b3o3b2o7bo$2bob2o2bo3bo4b3obobo2bobob3o4bo3bo2b2obo$b2o14bo4bo4bo
4bo14b2o$3o15b2o10b2o15b3o$2bobo40bobo$4b2o5b3o10b2o10b3o5b2o$3bo2bo3b
o9b2obo2bob2o9bo3bo2bo$8b3o4bo4b2o6b2o4bo4b3o$8bobob5o2bobobo2bobobo2b
5obobo$6bo6bo2bo2b2o8b2o2bo2bo6bo$7bo34bo$19bo10bo!
I don't have the tools to find a smaller symmetrical c/3 block eater so that's it.
I don't think this is the right thread to post this.
Does this count?

Code: Select all

x = 34, y = 23, rule = B3/S23
16b2o$16b2o3$16b2o$16b2o3$16b2o$16b2o3$16b2o$16b2o3$b2ob3o9b2o9b3ob2o$
b2o4b2o7b2o7b2o4b2o$o2bobo3bo14bo3bobo2bo$7b3o2b3o4b3o2b3o$9b3obobo2bo
bob3o$9bo4bo4bo4bo$10b2o10b2o!
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Also, please apgsearch B34t5y7/S23 (B-life)

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JP21
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Re: Spaceship Discussion Thread

Post by JP21 » September 13th, 2020, 9:15 am

Entity Valkyrie 2 wrote:
September 13th, 2020, 6:06 am
Does this count?

Code: Select all

2 c/3s
No it does not. The ship has to be a whole one.
This one is a prototype:

Code: Select all

x = 116, y = 45, rule = B3/S23
4b3o102b3o$3bo108bo$b3o108b3o$bobob3ob2o94b2ob3obobo$o4bo3b2o94b2o3bo
4bo$bo6bo2bo92bo2bo6bo2$bobo108bobo$3o110b3o$4bo106bo$2bo2bo104bo2bo$
3bo2b2ob2o94b2ob2o2bo$9b2o7b2o76b2o7b2o$4bo2bo2bo5b3obo7b2o56b2o7bob3o
5bo2bo2bo$3b2obo5b2ob2o3b2o3b2obob2o5b4o7bo18bo7b4o5b2obob2o3b2o3b2ob
2o5bob2o$2bobo2bo4b2o2bo2bob5o2bo4bob2obobo5b4o16b4o5bobob2obo4bo2b5ob
o2bo2b2o4bo2bobo$bo2bo9bo7bo3bo6b2o4bo2b2ob2o3bo3bo6bo3bo3b2ob2o2bo4b
2o6bo3bo7bo9bo2bo$bo4bo16bo7bo3bo6b2o2bo5b4o4b4o5bo2b2o6bo3bo7bo16bo4b
o$4bobob2o34bo7bo3bo2bo3bo7bo34b2obobo$2bobobob2o40bo2bobo4bobo2bo40b
2obobobo$7bobo41bo12bo41bobo$2b2o108b2o2$3b2o106b2o$b3obo7bo88bo7bob3o
$o3bob2ob2o2b2o4b3o5b3o56b3o5b3o4b2o2b2ob2obo3bo$bobo5b2o2bobo2b2o3bob
2o3bo6b2o6bo24bo6b2o6bo3b2obo3b2o2bobo2b2o5bobo$4b3obo2bo2b2obobo3b2o
3b3o3b2ob2o5b2o11b2o11b2o5b2ob2o3b3o3b2o3bobob2o2bo2bob3o$2b3o9bo4b3o
3bo4b5o2b2o4bobo7b3ob2ob3o7bobo4b2o2b5o4bo3b3o4bo9b3o$16bo2bo11bo3bo4b
2obo2bob2o2bo10bo2b2obo2bob2o4bo3bo11bo2bo$bo17bo12bo7b2ob4o2bo2bob2o
4b2obo2bo2b4ob2o7bo12bo17bo$40bo4b2o2bo2b2o8b2o2bo2b2o4bo$bob2obo45b2o
8b2o45bob2obo$bo3b3o100b3o3bo$4bo3bo98bo3bo$2bo110bo$3bobo104bobo$2b2o
b3o100b3ob2o$bobobob2o98b2obobobo$2obobo3bo96bo3bobob2o$3bo108bo$2obob
o104bobob2o$5bo104bo$6bo102bo$3b2o106b2o!
That's the first I found, but it uses too much connectors. (like gluing 2 spaceships into one)
I want a more direct example.

MathAndCode
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Re: Spaceship Discussion Thread

Post by MathAndCode » September 13th, 2020, 5:30 pm

JP21 wrote:
September 13th, 2020, 9:15 am
That's the first I found, but it uses too much connectors. (like gluing 2 spaceships into one)
I want a more direct example.
Here's a quick way of getting rid of a block that can be done from only one side.

Code: Select all

x = 4, y = 4, rule = B3/S23
2b2o$2b2o$o$bo!
This will probably require the unsimplified speed to be 2c/6 or something else besides c/3.
Marine has a non-centered Moore neighborhood and at least one gun with a very high period (11,843).
I'm in the process of reducing the glider cost of universal construction.

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Re: Spaceship Discussion Thread

Post by wwei23 » September 19th, 2020, 6:20 pm

I had an interesting idea for a true-period geminoid-like spaceship.
Each side consists of a main glider duplicator, a merge circuit, and some reflectors, as well as a faraway pair of Snarks, or a boojum reflector, or a rectifier, or whatever 180-degree reflector you want, for that matter. (Hooray, a 180-degree reflector being a key component to circuitry!) One side is 1hd forwards in the direction of travel with respect to the other side.
The operation works as follows: The front side receives the instruction tape, and it copies it. One copy gets sent to the faraway reflector through the merge circuit, and the other is sent at the back side, shooting it down and rebuilding it (including the reflector), with an offset of (1,1). This causes the positions to swap, the front is now the back, and vice versa.
Now, the other copy of the instruction tape finally arrives from the reflector, and is sent to the back (now the front) side . Before, this shot down the back side. However, the (1,1) move causes it to line up with the now-front side perfectly, allowing it to receive the instruction tape. Everything now repeats, reflected, and after that, the cycle repeats, with the entire spaceship having moved one cell diagonally in the cycle.
I think it's worth building one of these, since it would be possible to show that there were infinitely many spaceships that moved at a true-period c/n. This also operates differently than a usual geminoid, since usually each side constructs its next copy and removes its previous copy, as opposed to being removed and rebuilt by the other side. This allows for lower displacement values because the bounding box of each side is not a worry anymore, there's never more than one copy of each side. This would also allow for different displacements than the (1,1) mentioned, and might make a true geminoid knightship possible, since as far as I know, it never actually got completed.
(I have no idea how to make an explicit example of a self-constructing spaceship though lol)

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Re: Spaceship Discussion Thread

Post by dvgrn » September 19th, 2020, 10:06 pm

wwei23 wrote:
September 19th, 2020, 6:20 pm
I had an interesting idea for a true-period geminoid-like spaceship...
(I have no idea how to make an explicit example of a self-constructing spaceship though lol)
It's a little difficult to follow the description without a diagram. How is this idea different from chris_c's camelship? Ships with a design similar to the camelship can be constructed for any small step size you might want.

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Re: Spaceship Discussion Thread

Post by wwei23 » September 19th, 2020, 10:44 pm

dvgrn wrote:
September 19th, 2020, 10:06 pm
It's a little difficult to follow the description without a diagram. How is this idea different from chris_c's camelship?
I'm using glide-reflectivity so that I can use only one recipe, and sending one copy of the recipe to faraway reflectors to bounce back to the reconstructed other side. Here's a rough diagram I made.
5938D0DF-EE50-465E-84B8-93A3D6BD7BDC.png
5938D0DF-EE50-465E-84B8-93A3D6BD7BDC.png (22.42 KiB) Viewed 559 times
EDIT: I would also like to mention that I was unaware that there was that camelship in the first place.

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Re: Spaceship Discussion Thread

Post by dvgrn » September 20th, 2020, 8:08 am

wwei23 wrote:
September 19th, 2020, 10:44 pm
EDIT: I would also like to mention that I was unaware that there was that camelship in the first place.
There's also a half-finished giraffeship design that avoids the need for the tricky recipe-crossing glider used in the camelship.

If I remember right, that recipe-crossing camelship glider does the switching between "ignore the first half-recipe" and "rebuild things with the second half-recipe", for the back half of the giraffeship. At the front end, the first half-recipe ends with an "ignore the second half-recipe" instruction, building an eater on its own single-channel lane, so that part is easy -- it's only unsuppressing a suppressed single-channel stream that's a little bit difficult.

Anyway, there's currently not really a shortage of workable self-constructing spaceship designs -- and that link is an old list, in serious need of an update. The big shortage seems to be of people who are willing to learn the construction tools and techniques to implement any of these designs.

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Re: Spaceship Discussion Thread

Post by wwei23 » September 20th, 2020, 8:45 am

dvgrn wrote:
September 20th, 2020, 8:08 am
The big shortage seems to be of people who are willing to learn the construction tools and techniques to implement any of these designs.
Well, I just ask slmake to build the slow salvo recipe and put its output between the sides of the spaceship, right?
EDIT: Or is there something I'm missing here?

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Re: Spaceship Discussion Thread

Post by dvgrn » September 20th, 2020, 11:21 am

wwei23 wrote:
September 20th, 2020, 8:45 am
Well, I just ask slmake to build the slow salvo recipe and put its output between the sides of the spaceship, right?
EDIT: Or is there something I'm missing here?
As a high-level overview, that's pretty much correct. But there's a good bit of work to do before you can "just ask slmake" anything.

The first step is probably to build a working piece of circuitry that can successfully accept just one glider, standing in for a full recipe, and test it out by moving your 180-degree reflectors (1,1) by hand.

The "shooting down" part of the design isn't something that slsparse handles automatically, so you'll have to come up with some kind of "meteor shower" of gliders, probably leaving behind one target block to rebuild from. Then you figure out whether you can do the shooting-down and reconstruction with 0-degree gliders, or if you'll use a 90-degree construction elbow somehow, and what that means for the design of the main part of the circuitry.

A pair of Snarks might be a good choice for the 180-degree reflector, or else a syringe plus some spacer Herschel conduits plus an H-to-G. That lets you separate the output glider stream from the input stream by a reasonable distance. You can't really use rectifiers or boojum reflectors in a design compiled by slsparse, without completely rebuilding the single-channel database and throwing away most of the recipes. Single-channel recipes mostly include gliders with separation of ninety-some ticks, and neither rectifiers nor boojum reflectors can support that.

Then... it's not quite clear to me how the two halves of your main circuitry will stay out of each other's way while they're rebuilding each other. But don't worry about explaining it in words. Words at this stage have a way of hiding serious design flaws. Just build a working sample of the main circuitry and the reflectors, and then it will be obvious how it works by inspection.

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Re: Spaceship Discussion Thread

Post by wwei23 » September 20th, 2020, 11:54 am

dvgrn wrote:
September 20th, 2020, 11:21 am
A pair of Snarks might be a good choice for the 180-degree reflector, or else a syringe plus some spacer Herschel conduits plus an H-to-G. That lets you separate the output glider stream from the input stream by a reasonable distance.
It's separated by 1hd because glide-reflectivity.
Edit: How do I sryinge when slow-salvo-ing?
Edit 2: This means I need two merge circuits, because I'll have to bounce both copies of the recipe, the entire thing needs to be received before it's retransmitted.
Edit 3: This is going to be harder than I thought.
EDIT 4: Before the circuitry has been moved (right). the beehive and block when hit, become a construction arm. After the circuitry has moved (left), it is finally ready to receive the instruction tape, and sends it back twice. The reason why it's sent back twice is because one copy moves the other side, and one copy is received by the other side.

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