Spaceship Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Sokwe
Moderator
Posts: 1626
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » January 11th, 2020, 7:04 am

Here is a reduction to Hartmut Holzwart's c/5 waveguide (with original on right):

Code: Select all

x = 187, y = 79, rule = B3/S23
14b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o8b2o
3b2o8b2o3b2o8b2o3b2o$6bo6b2obobob2o6b2obobob2o6b2obobob2o6b2obobob2o6b
2obobob2o6b2obobob2o6b2obobob2o6b2obobob2o6b2obobob2o6b2obobob2o6b2obo
bob2o6bo$6b2o4bobobobobobo4bobobobobobo4bobobobobobo4bobobobobobo4bobo
bobobobo4bobobobobobo4bobobobobobo4bobobobobobo4bobobobobobo4bobobobob
obo4bobobobobobo4b2o$8bo3bo3bobo3bo4bo3bobo3bo4bo3bobo3bo4bo3bobo3bo4b
o3bobo3bo4bo3bobo3bo4bo3bobo3bo4bo3bobo3bo4bo3bobo3bo4bo3bobo3bo4bo3bo
bo3bo3bo$8bo2bo4bobo4bo2bo4bobo4bo2bo4bobo4bo2bo4bobo4bo2bo4bobo4bo2bo
4bobo4bo2bo4bobo4bo2bo4bobo4bo2bo4bobo4bo2bo4bobo4bo2bo4bobo4bo2bo$3b
3obo4b2obo3bob2o4b2obo3bob2o4b2obo3bob2o4b2obo3bob2o4b2obo3bob2o4b2obo
3bob2o4b2obo3bob2o4b2obo3bob2o4b2obo3bob2o4b2obo3bob2o4b2obo3bob2o4bob
3o$2bobo175bobo$3bo2b2o7bo3bo10bo3bo10bo3bo10bo3bo10bo3bo10bo3bo10bo3b
o10bo3bo10bo3bo10bo3bo10bo3bo7b2o2bo$8bo6b2ob2o10b2ob2o10b2ob2o10b2ob
2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o6bo$15b5o10b
5o10b5o10b5o10b5o10b5o10b5o10b5o10b5o10b5o10b5o$14b2obob2o8b2obob2o8b
2obob2o8b2obob2o8b2obob2o8b2obob2o8b2obob2o8b2obob2o8b2obob2o8b2obob2o
8b2obob2o$b3o2b2o8bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo
12bobo12bobo8b2o2b3o$2bo3bo171bo3bo$6bo6bo2bobo2bo6bo2bobo2bo6bo2bobo
2bo6bo2bobo2bo6bo2bobo2bo6bo2bobo2bo6bo2bobo2bo6bo2bobo2bo6bo2bobo2bo
6bo2bobo2bo6bo2bobo2bo6bo$2b2o2bo6bob2ob2obo6bob2ob2obo6bob2ob2obo6bob
2ob2obo6bob2ob2obo6bob2ob2obo6bob2ob2obo6bob2ob2obo6bob2ob2obo6bob2ob
2obo6bob2ob2obo6bo2b2o$ob3o2b2o3b2o7b2o4b2o7b2o4b2o7b2o4b2o7b2o4b2o7b
2o4b2o7b2o4b2o7b2o4b2o7b2o4b2o7b2o4b2o7b2o4b2o7b2o3b2o2b3obo$2o5b2o5b
3ob3o8b3ob3o8b3ob3o8b3ob3o8b3ob3o8b3ob3o8b3ob3o8b3ob3o8b3ob3o8b3ob3o8b
3ob3o5b2o5b2o$2o4b3o5b3ob3o8b3ob3o8b3ob3o8b3ob3o8b3ob3o8b3ob3o8b3ob3o
8b3ob3o8b3ob3o8b3ob3o8b3ob3o5b3o4b2o$bo5bo169bo5bo$2bo2bob2o7bobo12bob
o12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo7b2obo2bo$3b2o
3bo5b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o8b
2o3b2o8b2o3b2o8b2o3b2o5bo3b2o$5b2o5b3o5b3o4b3o5b3o4b3o5b3o4b3o5b3o4b3o
5b3o4b3o5b3o4b3o5b3o4b3o5b3o4b3o5b3o4b3o5b3o4b3o5b3o5b2o$b2o2b3o4bobo
5bobo4bobo5bobo4bobo5bobo4bobo5bobo4bobo5bobo4bobo5bobo4bobo5bobo4bobo
5bobo4bobo5bobo4bobo5bobo4bobo5bobo4b3o2b2o$b2o3bo171bo3b2o$2b2ob2o4b
2o2b2ob2o2b2o2b2o2b2ob2o2b2o2b2o2b2ob2o2b2o2b2o2b2ob2o2b2o2b2o2b2ob2o
2b2o2b2o2b2ob2o2b2o2b2o2b2ob2o2b2o2b2o2b2ob2o2b2o2b2o2b2ob2o2b2o2b2o2b
2ob2o2b2o2b2o2b2ob2o2b2o4b2ob2o$2b2ob2o7bo5bo8bo5bo8bo5bo8bo5bo8bo5bo
8bo5bo8bo5bo8bo5bo8bo5bo8bo5bo8bo5bo7b2ob2o$bo5bo7b2ob2o10b2ob2o10b2ob
2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o7bo
5bo$bo2bo175bo2bo$3bo3bo8b3o12b3o12b3o12b3o12b3o12b3o12b3o12b3o12b3o
12b3o12b3o8bo3bo$2o2b2obo7bobobo10bobobo10bobobo10bobobo10bobobo10bobo
bo10bobobo10bobobo10bobobo10bobobo10bobobo7bob2o2b2o$14b2o3b2o8b2o3b2o
8b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o8b2o3b
2o$5bobo6bobobobo8bobobobo8bobobobo8bobobobo8bobobobo8bobobobo8bobobob
o8bobobobo8bobobobo8bobobobo8bobobobo6bobo$2b2ob2o171b2ob2o3$b3o3b3o
166b2o3b3o$3bo3bo169bobob3o$3bo3bo170bo2b2o$3b2ob2o170b3o$3b2ob2o170b
2o$178b3o2$177bobo$176bo2bo$175bo$178bobo$175bo2b4o$177bo4bo$177bobo2b
o$176b2o4bo$175bo2b3obo$175bo2b3o$178bo2$177b2o2$180bo$179b3o$178b5o2$
177bo5bo$175bobo5bobo$178b5o$179bobo$176bo2bobo2bo$177b3ob3o$179b3o$
179b3o2$177b2obob2o$177b3ob3o$176b2o5b2o$176b3o3b3o$175b2o7b2o2$175bo
2bo3bo2bo$174b2o2b2ob2o2b2o$174b2o2b2ob2o2b2o$174bo2bo5bo2bo!
There is a row in Hartmut's waveguide that has a width of 11 in exactly one phase. I used qfind to start just below this row and extend at a width of 10. I tried a width-10 search starting from near the top, but it found nothing.
Hdjensofjfnen wrote:
January 11th, 2020, 1:41 am
\why is searching for odd-symmetric ships more often done than searching for even-symmetric ships? I know that there's a higher probability of engine failure (because of a lack of B4a and S4a) for shorter periods, but wouldn't this disparity become smaller as the period of a search grows?
I tend to start by searching for an odd-symmetric ship, then moving on to even-symmetric, and finally gutter-symmetric. It seems that odd-symmetric searches go deeper than the even-symmetric search of the same width at low periods. Odd-symmetric searches also often give patterns that can be extended with a gutter-symmetric search to increase the total width of the ship without increasing the width of the search. I found 600P6H1V0 with gfind by switching between odd-symmetric and gutter-symmetric width-9 searches.
-Matthias Merzenich

hkoenig
Posts: 123
Joined: June 20th, 2009, 11:40 am

Re: Spaceship Discussion Thread

Post by hkoenig » January 11th, 2020, 12:11 pm

Is it possible to do an asymmetrical search starting with a significant number of defined rows? I noticed this in the P8H3V0 | 3c/8 search results published the other day. The pattern on the right is the one on the left 8 gens later.

Code: Select all

x=29, y=18
21bo$20bobo$19bo3bo$2bo16bob3o$bobo19b3o$o3bo19b2o$ob3o17b2obo$4b3o15bo$5b
2o15bo4bo$3b2obo19b3o$3bo$3bo4bo18bo$7b3o17bo2$7b2o15bo$8bo15bo3bo$8bo16b
ob2o$25b2o!
I'd try it if I had the tools set up and available.

Or is this sort of start so common that it's a false lead not worth pursuing?

AforAmpere
Posts: 1080
Joined: July 1st, 2016, 3:58 pm

Re: Spaceship Discussion Thread

Post by AforAmpere » January 11th, 2020, 3:20 pm

3c/8 gutter width 12 finished:

Code: Select all

x = 266, y = 44, rule = B3/S23
$10bo3bo24bo5bo22bo7bo20bo9bo18bo11bo16bo13bo14bo15bo12bo17bo10bo19bo$
3b2o5b2ob2o5b2o16bobo3bobo20bobo5bobo18bob2o5b2obo16bobo9bobo14bobo11b
obo12bobo13bobo10bobo15bobo8bobo17bobo$2bob2o2b2obobob2o2b2obo14bo3bob
o3bo18bo3bo3bo3bo16b2o3bo3bo3b2o14bo3bo7bo3bo12b2ob2o9b2ob2o10bo3bo11b
o3bo8bo3bo13bo3bo6bo3bo15bo3bo$2bo2b3o3bobo3b3o2bo14b3obobob3o18b2o2bo
3bo2b2o16b2o3bo3bo3b2o14bo3b2o5b2o3bo14b4o7b4o12bob3o11b3obo8bob3o13b
3obo6bob3o15b3obo$2bobob2obobobobob2obobo12b3o9b3o15bo2b2o5b2o2bo15bo
3b2o3b2o3bo14b3ob2o5b2ob3o14bo2bo7bo2bo16b3o7b3o16b3o9b3o14b3o11b3o$3b
2obo4bobo4bob2o13b2o11b2o15bo3bo5bo3bo45bo13bo15bob2o7b2obo16b2ob2o3b
2ob2o17b2o9b2o16b2o11b2o$2bo2bo13bo2bo12bob2o7b2obo14b3ob2o5b2ob3o17bo
7bo19bo2bo5bo2bo15b2obo9bob2o19bo3bo19b2obo9bob2o12b2obo11bob2o$2b4o4b
o3bo4b4o15bo7bo18b2o11b2o11b9o5b9o12bo11bo14bo17bo12b2o13b2o13bo15bo
12bo17bo$b2ob2o3b2o3b2o3b2ob2o9bo4bo7bo4bo14bo2bo5bo2bo12bo2b3o3bo3bo
3b3o2bo13b3o5b3o14bobo2b2o7b2o2bobo10bo5b2o3b2o5bo12bo4bo5bo4bo12bo4bo
7bo4bo$o6bobo5bobo6bo7b3o15b3o12bo3bo5bo3bo10b2o5b3obobob3o5b2o11bo11b
o12b2ob2ob2obo3bob2ob2ob2o9b3o4bo3bo4b3o16b3o3b3o20b3o5b3o$2bo3bo11bo
3bo45bo7bo13b2obobobo2b2ob2o2bobobob2o9b2ob2o7b2ob2o10b3obo3b3ob3o3bob
3o9b2o4b2o3b2o4b2o15bo3bobo3bo$o6b2o7b2o6bo8b2o15b2o14b2o9b2o12b3obo2b
2o5b2o2bob3o15bo5bo14b2o3bobobo5bobobo3b2o8bobo3bo5bo3bobo12bo6bobo6bo
16b2o7b2o$5b3ob3ob3ob3o13bobo13bobo14b2obo5bob2o19b2o5b2o16bo5bo5bo5bo
8b3o2b3o2b2ob2o2b3o2b3o6bob2o4bobobobo4b2obo11bo2bobo3bobo2bo16bobo7bo
bo$33bo17bo15bobo5bobo15b2o15b2o15bobo5bobo20b2o5b2o14bo2bob2o2b2ob2o
2b2obo2bo44bo7bo$35b4o7b4o16b2o9b2o15b6o5b6o18bo5bo14b2o3b2o11b2o3b2o
7bo5bob2ob2obo5bo12b2ob2o5b2ob2o13b4o11b4o$31bob2o2bobo5bobo2b2obo40bo
bobo7bobobo12b3obo9bob3o13b2o11b2o47b3o5b3o14bobo2b2obo3bob2o2bobo$31b
o5bobo5bobo5bo14bo7bo20b2ob2ob2ob2o14b2obobob3ob3obobob2o13b2o9b2o18b
2o2bobo2b2o15bo17bo10bobo5bo3bo5bobo$31bo21bo9b6o7b6o11bo4bobo3bobo4bo
11b2o3bobo3bobo3b2o11b2o15b2o13b6o3b6o13bo3bo9bo3bo18bo3bo$37b3o5b3o
15bo4b2o5b2o4bo10b2o3bo9bo3b2o15b3o3b3o15bob2obo9bob2obo11bo15bo12bo3b
2o7b2o3bo10b3o15b3o$33bo3bo2bo3bo2bo3bo10bob4o2bo3bo2b4obo8bobo3b2o7b
2o3bobo6b2o5bob2o3b2obo5b2o12bo9bo15bo4bobo3bobo4bo10b2obobobo5bobobob
2o8bo2bo3bo7bo3bo2bo$33bobobo9bobobo9b3o3bo9bo3b3o7bob2ob4o5b4ob2obo
11b2o2bo5bo2b2o12b4obo9bob4o10bo5bo5bo5bo10b2obo2bobo3bobo2bob2o11bobo
bo7bobobo$33b2o3b2o5b2o3b2o11bo3bobo5bobo3bo10b3o2bo2bo3bo2bo2b3o7b3ob
2ob2o7b2ob2ob3o9b3o11b3o11b3obob2o5b2obob3o9bo3bo3b2ob2o3bo3bo9b2o3b2o
7b2o3b2o$32b2o3b3o5b3o3b2o8b3o4bo7bo4b3o8bo2bo2bob2ob2obo2bo2bo8bobob
2ob2o5b2ob2obobo13b2o7b2o14b3o2b2o7b2o2b3o10b2o2b2o7b2o2b2o10b3o3b2o5b
2o3b3o$31bo2bo2bo9bo2bo2bo11bo13bo17b2obo3bob2o13b2o5bobo3bobo5b2o14bo
7bo15bob2o2b3o3b3o2b2obo9b2o3b3o5b3o3b2o14bobo5bobo$32b4o2b2o5b2o2b4o
10bo17bo9b2o4b2o7b2o4b2o11bob2o2bobo2b2obo14b2o3bo5bo3b2o11bob2o4b2ob
2o4b2obo10b2o2b2o7b2o2b2o13bob2o7b2obo$34b2ob2ob2ob2ob2ob2o17b3o3b3o
14bob4o11b4obo10b3o3bo3bo3b3o11bo2bo5bobo5bo2bo8b2o2bo13bo2b2o10b2ob3o
5b3ob2o11bo2b3o2bo3bo2b3o2bo$32b2o5b3ob3o5b2o8bobo4bo2bobo2bo4bobo8bo
3bo3bo3bo3bo3bo11b2o4bo3bo4b2o10bo3bo3b3ob3o3bo3bo6bobo6b2o3b2o6bobo8b
o2bo2bo5bo2bo2bo13bo2b3o3b3o2bo$31bobo3bo2bo3bo2bo3bobo7bob2o6bobo6b2o
bo16b2ob2o17bo19bo8bo3bo3bo5bo3bo3bo7b2o2b2ob3o3b3ob2o2b2o8bo3bo2bo5bo
2bo3bo9b5o4bobo4b5o$30b2o6b2o5b2o6b2o8b2o4bobobobo4b2o14b5o3b5o12b2o5b
2o5b2o5b2o10bo2bo9bo2bo42b2obo11bob2o10bo4b2o7b2o4bo$30b2o5bo2bo3bo2bo
5b2o7b2ob2o2bobobobo2b2ob2o9bob2ob2obo3bob2ob2obo7b2ob3ob2o7b2ob3ob2o
6bo2bo2bo9bo2bo2bo39bobo2b2o5b2o2bobo10b2o6b2ob2o6b2o$40b2ob2o15b2o4bo
b2obobob2obo4b2o7b3o2bo9bo2b3o37b2obo6b2ob2o6bob2o40b2o11b2o12b2o2bo
11bo2b2o$31bobobo4b2ob2o4bobobo6b2o2b3o3bo3bo3b3o2b2o12bo2b2ob2o2bo42b
2obob3o2b2ob2o2b3obob2o36b2o2bo3bo5bo3bo2b2o$61bo5bo2bo3bo2bo5bo9bo2b
2obo5bob2o2bo41bob2o4bobo4b2obo40bo6b2o3b2o6bo$91bo5bo2b2ob2o2bo5bo39b
o4b2obobob2o4bo41bo2bobobo3bobobo2bo$155b2ob2o5b2ob2o40b2obobobo3bobo
3bobobob2o$152bobo3bo7bo3bobo37b3o3b2o9b2o3b3o$150b2o2bo2bobo5bobo2bo
2b2o!
Took about 6 hours total.
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)

mscibing
Posts: 46
Joined: May 18th, 2010, 8:30 pm

Re: Spaceship Discussion Thread

Post by mscibing » January 20th, 2020, 9:28 pm

Another c/6 pushalong:

Code: Select all

x = 16, y = 64, rule = B3/S23
4bo$3b6o$3bo4bo$3b6o$4b3o$6bo$5b3o$4b2o3bo$3b2o2bo2bo$3bob2o4bo$4b5obo
$4b4o$6bob2o2$6bo2bo$7b2o$7bobo$7bob2o$3b2ob5o$3b2o3bobo$3bo2b5o$7bo$
7bo2bo$8bo$6bob2o$6bo$5bo$6bo3bo$6b2obo$9bo3$4bo6bo$3bobob2obobo$3b2o
2b2o2b2o$7b2o2$5b2o2b2o$5b2o2b2o$6b4o$6bo2bo$5bo4bo$5bo4bo$5bob2obo$6b
o2bo$6bo2bo2$o14bo$2o4bo2bo4b2o$o5b4o5bo$b2o4b2o4b2o$2bo10bo$obo10bobo
$b5o4b5o$3bo2b4o2bo$2bo4b2o4bo$6bo2bo$7b2o$4b2ob2ob2o2$3bo8bo$2b3o6b3o
$2bo2bo4bo2bo$b2o10b2o!
I mistoke this for a known pushalong as a pushalong with the same front is known. I believe this one is new.

Edit:
Yet another c/6 pushalong:

Code: Select all

x = 16, y = 107, rule = B3/S23
5bo$4bobo$7bo$4bo$6b2o$5b3o$12bo$8b6o$8b3o$10b2o$10bo$10bo$10bo$11b2o$
11b2o2$12b2o$14bo2$9b3ob2o$7bobo$6bobo$6bobo$6bobo$7b2ob2o$7b2o$6bo2b
4o$6bobo$8bo$6bobo$4b2o5bo$4b3ob3ob2o$3b2o4b2o$4b2o$4b3o2$4b3o$5b2o$6b
o$4b2obo$7bob2o$3bo2bobo2bo$3bo4bo2bo$9b2o$5b4obo$11bo$5b2o3bobo$8bobo
2bo$8b3obo$5bo2bo$5b3o$11b2o$11b2o$3b2obo$6bobo$4bobobob2o$4bobobob2o$
8bob2o$5b2o2bo$6bobo3b2o$7b2o2bobo$6b2o3b3o$4b2o3bo$4b6o4$5bo$4b3o$5bo
2b2o$5b2ob2o$8b2o$8bo3$4bo6bo$3bobob2obobo$3b2o2b2o2b2o$7b2o2$5b2o2b2o
$5b2o2b2o$6b4o$6bo2bo$5bo4bo$5bo4bo$5bob2obo$6bo2bo$6bo2bo2$o14bo$2o4b
o2bo4b2o$o5b4o5bo$b2o4b2o4b2o$2bo10bo$obo10bobo$b5o4b5o$3bo2b4o2bo$2bo
4b2o4bo$6bo2bo$7b2o$4b2ob2ob2o2$3bo8bo$2b3o6b3o$2bo2bo4bo2bo$b2o10b2o!


Sokwe
Moderator
Posts: 1626
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » January 21st, 2020, 8:43 pm

mscibing wrote:
January 20th, 2020, 9:28 pm
Another c/6 pushalong...
Yet another c/6 pushalong:
I've added these to the collection. Thanks! Were all of these new pushalongs found using the same seed column? It seems like they must be, based on the position of the cell in the leading edge of each ship. Are you running multiple seedcolumns at once, or just one at a time?
-Matthias Merzenich

mscibing
Posts: 46
Joined: May 18th, 2010, 8:30 pm

Re: Spaceship Discussion Thread

Post by mscibing » January 23rd, 2020, 9:34 pm

Yes, the pushalongs have been found using the same seed column. I'm running just one seedcolumn at a time. I ended up reducing the maxiumum width to 9 for 120 levels to exclude the repeating components and as result there may be width 12 spaceships missed for this seed column.

I tried stabilizing some of the partials and discovered that one could be stabilized by a ship in the jslife collection found by Tim Coe, and it could be decomposed into components one of which can form a near-vertical wave:

Code: Select all

x = 110, y = 206, rule = B3/S23
99bo3b2o$99bo2bob2o$98bo2bob3o$104b2o$103b2o$103b2o$101bo2bo$102bob4o$
103bob4o$109bo$101b2o5bo$100b3o$100b3o$102bo$100b3ob2o$100b2o2b2obo$
105bo$105bo2bo$106bobo$102b6o$100b2o2b2o2$100b2ob2o2$99b3ob2o$98bobo2b
o$102b2o$35bobo65b2o$35bo2bo63b2o$35bo2bo62b2o2b2o$99bobobo$37b3o59bob
o3b2o$38bob2obo$42bobo56b4obo$41bo61bo$41bob2o60b2o$40b2o63bo$40bo62bo
bo$101bo3b2o$42bo57bo6bo$42bo57bo6bo$41bo2bo57bobo$44bo55b2o2b2o$45bo
53bo$43bo62b2o$40b2ob3o59b3o$37b2obo63bob2o$37b2o2bo61b2o$38b2o$41bo
60b2o$37b2ob2o60b3o$39b4o57bobob2o$98b2o3b3o$34b2o2b2o2bobo54b2o3bo$
38b2o2b2o57b2o$35bo6bo59bobo$35bobo4bobo57bo2bo$38bo4b2o58b2o$35bobo$
40b3o57b3o$40bob2o56bob2o$39bo2bo56bo2bo$42bobo57bobo$42b2o58b2o3$40b
2o58b2o$41b2o58b2o2$41bo2bo56bo2bo$41bo2bo56bo2bo$42bobo57bobo3$42b3o
57b3o$42b3o57b3o$40b4o56b4o$35bo3b2o54bo3b2o$35bob2ob2o53bob2ob2o$35bo
2b2o55bo2b2o4$37b3o57b3o$38b2o3bo54b2o3bo$5b2ob2o28b2o3b3o52b2o3b3o$4b
4obo27b3o57b3o$3bo6bo26b3o57b3o$4bo4bo27b3o57b3o$9bo$6bobo28bob3o55bob
3o$7b2o29bob2o56bob2o$7bobo28b2o2bo55b2o2bo$10b4o26b2o58b2o$7bo6bo25b
4o56b4o$7bo4b2o25b2o3bo54b2o3bo$6bo3bo26bobo57bobo$5b2o33bo59bo$8bo28b
3o57b3o$5b2o3bo$6bo3b3o22bob3o55bob3o$10bobo22bob3o55bob3o$11b3o21b2o
58b2o$11bobo$7b2o3bo48b3o$6bo2b2o25b2o2b2o19b3o32b2o2b2o$5b2o2bo26b3ob
2o20b2o32b3ob2o$5b2ob2o26b4o23bob2o29b4o$8bo27bobob2o20bo5bo27bobob2o$
3b6o28bo2b2o21bo5bo27bo2b2o$8bo28bo27b2o3bo26bo$3bo3bo30bo3bo23b2obo
28bo3bo$8bo31bobo57bobo$7b2obo57bo$7bo2bo55bobo$4b2o2bobo29b3o57b3o$3b
o3b2o27b2o3b2o25bo27b2o3b2o$7b2ob2o25b2obo27b2o27b2obo$5bob2o27bo2bobo
27bo26bo2bobo$12bo22b5o29b3o23b5o$9bobo24b2o58b2o$10bo30bobo22bo4bo29b
obo$40bob3o19b3o4bo28bob3o$7b4o28bobo22bo3bobo28bobo$6b4ob2o25bo2bo24b
o31bo2bo$5b2o4b2o25bo24b5o30bo$6bo2b2o29b2o21bo2bo33b2o$5b2o2b2o26b3o
23b3o31b3o$4bo31b3o24b3o2b2o26b3o$4bo7bo21bo4bo23bo3b3o24bo4bo$9bob2o
21bo4bo23bo2bo27bo4bo$9bo51bo7bo$8b2o2bo25b2o22bob3o31b2o$38bobo21bobo
2b2obo27bobo$37bo2bo22bo3bo2bo26bo2bo$6b4o27bo29bo29bo$4bo4bo25b2o3bo
24b2o3bo24b2o3bo$4bo4bo25b2o2bo25b2o2bo25b2o2bo$4b2o3bo26bob2o26bob2o
26bob2o$7b2o28bo29bo29bo$7b3o27b3o27b3o27b3o$9bo$8b2o27bo29bo29bo$36bo
bo27bobo27bobo$6bo32bo29bo29bo$5b3o28bobo27bobo27bobo$4bo2bobo29bo29bo
29bo$3bo2bo2bo28b3o27b3o27b3o$8bo29b3o27b3o27b3o$4bo2bo$39bo29bo29bo$
6bob2o22bo13bo15bo13bo15bo13bo$6bo3bo20b2o2bo7bo2b2o13b2o2bo7bo2b2o13b
2o2bo7bo2b2o$7bo3bo18bo4bo7bo4bo11bo4bo7bo4bo11bo4bo7bo4bo$11bo18b3ob
2ob5ob2ob3o11b3ob2ob5ob2ob3o11b3ob2ob5ob2ob3o$4b2o2bo23bo13bo15bo13bo
15bo13bo$3bo2b3o2bo22b2obo3bob2o19b2obo3bob2o19b2obo3bob2o$4b2ob2obo
24bobo3bobo21bobo3bobo21bobo3bobo$10bo24bo3bo3bo21bo3bo3bo21bo3bo3bo$
37bobobo25bobobo25bobobo$8b3o26bo3bo25bo3bo25bo3bo$7b2o2bo26b3o27b3o
27b3o$7b4o28bo29bo29bo$11b3o24b3o27b3o27b3o$9bo2bo24b2ob2o25b2ob2o25b
2ob2o$10b3o24b2ob2o25b2ob2o25b2ob2o$10bo$9b2o25bo5bo23bo5bo23bo5bo$8bo
3bo22bobo3bobo21bobo3bobo21bobo3bobo$7bo4bo22bo2bobo2bo21bo2bobo2bo21b
o2bobo2bo$8bobo2bo21b2obobob2o21b2obobob2o21b2obobob2o$7bo23b3o4bobo4b
3o13b3o4bobo4b3o13b3o4bobo4b3o$38bobo27bobo27bobo$35bobo3bobo21bobo3bo
bo21bobo3bobo$4bo6bo$3bobob2obobo21b2o7b2o19b2o7b2o19b2o7b2o$3b2o2b2o
2b2o23bo5bo23bo5bo23bo5bo$7b2o25b2ob2ob2ob2o19b2ob2ob2ob2o19b2ob2ob2ob
2o2$5b2o2b2o23b2o7b2o19b2o7b2o19b2o7b2o$5b2o2b2o$6b4o27bo3bo25bo3bo25b
o3bo$6bo2bo22b3obobobobob3o15b3obobobobob3o15b3obobobobob3o$5bo4bo20bo
3bo2bobo2bo3bo13bo3bo2bobo2bo3bo13bo3bo2bobo2bo3bo$5bo4bo21bobo9bobo
15bobo9bobo15bobo9bobo$5bob2obo23bobo5bobo19bobo5bobo19bobo5bobo$6bo2b
o27bo3bo25bo3bo25bo3bo$6bo2bo28bobo27bobo27bobo$35b2obobob2o21b2obobob
2o21b2obobob2o$o14bo19b2obobob2o21b2obobob2o21b2obobob2o$2o4bo2bo4b2o
18b3obobob3o19b3obobob3o19b3obobob3o$o5b4o5bo18bo3bobo3bo19bo3bobo3bo
19bo3bobo3bo$b2o4b2o4b2o18b2o9b2o17b2o9b2o17b2o9b2o$2bo10bo18b3o9b3o
15b3o9b3o15b3o9b3o$obo10bobo17b2o2b2ob2o2b2o17b2o2b2ob2o2b2o17b2o2b2ob
2o2b2o$b5o4b5o21b2o3b2o23b2o3b2o23b2o3b2o$3bo2b4o2bo18bo3b2o5b2o3bo13b
o3b2o5b2o3bo13bo3b2o5b2o3bo$2bo4b2o4bo18bob3o5b3obo15bob3o5b3obo15bob
3o5b3obo$6bo2bo23bo11bo17bo11bo17bo11bo$7b2o24bo11bo17bo11bo17bo11bo$
4b2ob2ob2o21b3o7b3o17b3o7b3o17b3o7b3o$36bo2bo2bo23bo2bo2bo23bo2bo2bo$
3bo8bo19b3o3b3o3b3o15b3o3b3o3b3o15b3o3b3o3b3o$2b3o6b3o18b6o3b6o15b6o3b
6o15b6o3b6o$2bo2bo4bo2bo18bo4bobobo4bo15bo4bobobo4bo15bo4bobobo4bo$b2o
10b2o23bobo27bobo27bobo!
Edit: added another pushalong just discovered.
Edit: Alternate stabilization using the Paul Tooke ship/Hartmut Holzwart front end:

Code: Select all

x = 48, y = 108, rule = B3/S23
38b2o$35bobo$33b2obo3bo$35b5o3$37bo$36bobo$39bo2bo$39bo2b2o$39bo3bo$
35bo3bo$36bobo$36bo$37b2obo$36bo4bo$37bo3bo$42bo$41b2o$37b2o2b2o$37b2o
$36bo2bo$37b2o$35bo$36bobo$33b2o3bo$34b4o$bo$obo$3bo31bob4o$o33bo5bo$
2b2o30bo$b3o31bo4bo$8bo26b6o$4b6o26b2o2bo$4b3o33bo$6b2o32bo$6bo$6bo33b
o$6bo32bobo$7b2o26b4o2bo$7b2o28b3obo$34bo$8b2o24bo3b2o$10bo23bo$5bo34b
ob2o$3bob2o2b2o28bo2b2o$3bob2o31bobobo$2bo2bo31b3o$2b2o2bo31b3o$bo4bo
29bo2bo$bo3bo29bo2b2o$bo2b3obo26bo$b2ob3obo25bobobo$bo4bobo$b3obo31b2o
$2ob6o28b2o$bobo2b3o27b2obo$2bo2b2obo27b3o$6bo29bo$4bobo27bobo$7b3o27b
3o$4b2ob2o25b2ob2o$5bo29bo$6b2o28b2o$6bo29bo$6bo29bo$6b2o28b2o$7b2o28b
2o$7b2o28b2o$6bo2bo26bo2bo2$7bobo27bobo$10bo29bo3$6bo6bo22bo6bo$5bobob
2obobo20bobob2obobo$5b2o2b2o2b2o20b2o2b2o2b2o$9b2o28b2o2$7b2o2b2o24b2o
2b2o$7b2o2b2o24b2o2b2o$8b4o26b4o$8bo2bo26bo2bo$7bo4bo24bo4bo$7bo4bo24b
o4bo$7bob2obo24bob2obo$8bo2bo26bo2bo$8bo2bo26bo2bo2$2bo14bo14bo14bo$2b
2o4bo2bo4b2o14b2o4bo2bo4b2o$2bo5b4o5bo14bo5b4o5bo$3b2o4b2o4b2o16b2o4b
2o4b2o$4bo10bo18bo10bo$2bobo10bobo14bobo10bobo$3b5o4b5o16b5o4b5o$5bo2b
4o2bo20bo2b4o2bo$4bo4b2o4bo18bo4b2o4bo$8bo2bo26bo2bo$9b2o28b2o$6b2ob2o
b2o22b2ob2ob2o2$5bo8bo20bo8bo$4b3o6b3o18b3o6b3o$4bo2bo4bo2bo18bo2bo4bo
2bo$3b2o10b2o16b2o10b2o!

Sokwe
Moderator
Posts: 1626
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » January 24th, 2020, 3:29 am

mscibing wrote:
January 23rd, 2020, 9:34 pm
I tried stabilizing some of the partials and discovered that one could be stabilized by a ship in the jslife collection found by Tim Coe, and it could be decomposed into components one of which can form a near-vertical wave
These are great! I take it you were just trying to stabilize them by hand. Here is one solution that uses a component found by Tim Coe:

Code: Select all

x = 18, y = 91, rule = B3/S23
2b2o$b3o$2bobo$3b2o$4b2o$6bo$3bo2bob3o$8b3o$9bo$6b2o$6bo$8bo2$7bobo$7b
o2bo$8bobo$10b2o$6bo2b2o$6bo3b2o$4b3o$3b2o$6b2o$2bobo$8bo$4b4o$o8bo$o
3b2o$bo3bo2b3o$8bo$b3o5b2o$b3o5b2o$2b2o$7bo$6b3o$5bo2bobo$4bo2bo2bo$9b
o$8bo$5bo2$6b3o$8bo$8b2o$8b3o$8b2o3$4bo9bo$3bobo3bo3bobo$3bo2b3ob3o2bo
2$7b5o2$6bo5bo$5b2o5b2o$4bo9bo$2bo2bo7bo2bo$3b3o7b3o$4bobo5bobo$5b2o5b
2o$5b2o5b2o$2b2o3bo3bo3b2o$bo15bo$2bobo9bobo$4b2o7b2o$4b2o7b2o$3b2o9b
2o$2bo13bo$2bobo9bobo$b2ob2o7b2ob2o$2bob2o7b2obo$4bo9bo2$b3o11b3o$b4o
9b4o$2b2o2bo5bo2b2o2$7b2ob2o$8bobo$5b2obobob2o$5b2obobob2o$5bo2bobo2bo
$7b2ob2o$7b2ob2o$5bobo3bobo2$2b2o11b2o$2b2ob2o5b2ob2o$b2o13b2o2$b3o11b
3o!
I tried some symmetric searches with qfind and found this solution:

Code: Select all

x = 19, y = 82, rule = B3/S23
2b2o$b3o$2bobo$3b2o$4b2o$6bo$3bo2bob3o$8b3o$9bo$6b2o$6bo$8bo2$7bobo$7b
o2bo$8bobo$10b2o$6bo2b2o$6bo3b2o$4b3o$3b2o$6b2o$2bobo$8bo$4b4o$o8bo$o
3b2o$bo3bo2b3o$8bo$b3o5b2o$b3o5b2o$2b2o$7bo$6b3o$5bo2bobo$4bo2bo2bo$9b
o$8bo$5bo2$6b3o$8bo$8b2o$8b3o$8b2o3$7b2ob2o$4b2obo3bob2o$7bo3bo$3bo2bo
5bo2bo$6bo5bo$3bobo2b3o2bobo$3bo11bo$8bobo$9bo2$7bobobo$7b5o$2b2o3bo3b
o3b2o$bobo11bobo$b3o3b2ob2o3b3o$5b2ob3ob2o$5b3o3b3o$6bo5bo3$6b3ob3o$5b
o2bobo2bo$4bo3bobo3bo$8bobo$4bo9bo$4b5ob5o$2b2o4b3o4b2o$b3obo3bo3bob3o
$o3bobo5bobo3bo$bo4bo5bo4bo$8b3o$4b2o7b2o$7bo3bo$6b2o3b2o$6b2o3b2o!
The connection between the pushalongs that you found is quite surprising. It allows some of these to be pushed by Hartmut Holzwart's small ship:

Code: Select all

x = 26, y = 62, rule = B3/S23
2b2o$b3o$2bobo$3b2o$4b2o$6bo$3bo2bob3o$8b3o$9bo$6b2o$6bo$8bo2$7bobo$7b
o2bo$8bobo$10b2o$6bo2b2o$6bo3b2o$4b3o$3b2o$6b2o$2bobo$8bo$4b4o$o8bo$o
3b2o$bo3bo2b3o$8bo$b3o5b2o$b3o5b2o$2b2o$7bo$6b3o$5bo2bobo$4bo2bo2bo$9b
o$8bo$5bo2$6b3o$8bo$8b2o$8b3o$8b2o3$9bo$8b3o2$5b3o10b3o$3obo7b2o7bob3o
$4bo3bo2bo2bo2bo3bo$4bo5bo4bo5bo$10b2o2b2o$7bo3bo2bo3bo$7bobo6bobo$8b
10o$10bo4bo$8bo8bo$7bo10bo$8bo8bo!
-Matthias Merzenich

mscibing
Posts: 46
Joined: May 18th, 2010, 8:30 pm

Re: Spaceship Discussion Thread

Post by mscibing » February 9th, 2020, 11:46 am

Sokwe wrote:
January 24th, 2020, 3:29 am
I take it you were just trying to stabilize them by hand.
Yes. In the search results they show up as stabilized by the repeating components.

The component in the first column of the following table appears to be quite versatile, it shows up in the search results with a couple of different stabilizations by repeating components. I've arbitrarily picked one canonical stabilization:

Code: Select all

x = 601, y = 681, rule = B3/S23
#C  Asymmetric c6o pushalongs organized by initial component (rows)
#C  and final component (columns).
#C
#C  Pushalongs in the first column can be stabilized in many ways
#C  including by pushalongs in the first two rows.
#C  
#C  1. Josh Ball, 18 Aug 2013
#C  2. Andrew J. Wade, Jan - Feb 2020
#C  3. Matthias Merzenich, Jan 2020
#C
#C  Stabilizations are by ships found by:
#C  Tim Coe
#C  Hartmut Holzwart
#C  Paul Tooke
#C
#C  In addition to a backend found by:
#C  Matthias Merzenich
#C
#C And the pushalong found by:
#C Tim Coe
x = 501, y = 843, rule = B3/S23
o99bo49bo49bo49bo49bo49bo49bo49bo49bo5$5bobobo95bobobo95bobobo49bo2$9b
o99bo99bo49bo2$5bobobo95bobobo95bobobo49bo2$5bo42bo56bo99bo53bo$48b2o
3bo$5bobobo37b2ob2obo51bobobo95bobobo49bo$49b2o2bo4$49b3o$45bo3b2o$43b
3o3b2o$49b3o$49b3o$49b3o2$47b3obo$47b2obo$46bo2b2o$47b2o$45b4o$44bo3b
2o$49bobo$48bo$49b3o2$49b3obo$49b3obo$52b2o3$47b2o2b2o$47b2ob3o$49b4o
67b2ob2o$47b2obobo66b4obo$47b2o2bo66bo6bo$51bo67bo4bo$46bo3bo73bo$46bo
bo72bobo$122b2o$122bobo$46b3o76b4o$46b2o3b2o69bo6bo$48bob2o70bo4b2o$
47bobo2bo68bo3bo$49b5o66b2o$51b2o70bo$25bo19bobo72b2o3bo$21b6o17b3obo
72bo3b3o$21bo4bo20bobo75bobo$21b6o20bo2bo75b3o$23b3o24bo75bobo$47b2o
73b2o3bo$24bo24b3o69bo2b2o$24b2o24b3o67b2o2bo$25b2o2b2o18bo4bo65b2ob2o
$25b3ob2o18bo4bo68bo$25b3ob2o87b6o$25b2o22b2o72bo$22b3o23bobo67bo3bo$
23bob2o21bo2bo71bo$23b2o26bo70b2obo$23bobob2o19bo3b2o68bo2bo$28b2o19bo
2b2o65b2o2bobo$29bo19b2obo65bo3b2o$30bo20bo70b2ob2o$24b2o2b2o19b3o68bo
b2o$23bo2bo100bo$23bo2bo24bo72bobo$23b3o24bobo72bo$23bobo23bo$21b2obo
25bobo69b4o$20b2o3bo23bo71b4ob2o$20b5o23b3o69b2o4b2o$22b2o24b3o70bo2b
2o$25b2o93b2o2b2o$25b3o22b3o66bo$21b2o2bobo21b2o68bo7bo$21b2o24b2o4bo
70bob2o$21b2ob2obo20b3obo71bo$22bo2bob2o18b3o73b2o2bo$22bo4b2o17b2o$
26b3o16bo2bo$46bobob2o69b4o$48bo3bo66bo4bo$27bo18bobob2o67bo4bo$23b4ob
o16bo2b2o69b2o3bo$23bo4b2o16b3o73b2o$22bo3b2o15b2o2bo4b2o68b3o$24bo2bo
20bobo2bo70bo$20b3o20bobo2bo74b2o94bo$26bo17b2o2bo3bo165b6o$28b3o13b2o
4b2o69bo96bo4bo$26b2o17bo4bo69b3o95b6o$24bo2b4o18bo3bo65bo2bobo94b3o$
24bo3bo16b2o6b2o63bo2bo2bo96bo$27bo16b3o2bo3bo69bo96b3o$24bo20bob3o3bo
65bo2bo96b2o3bo$22b2ob2o18bo2bo2b2o165b2o2bo2bo$21b6o19b2o73bob2o93bob
2o4bo$22bo22bobo73bo3bo93b5obo$25bo19b2o75bo3bo92b4o$24b2o18bo81bo94bo
b2o$26bo17bo3bo70b2o2bo$26bo21b3o67bo2b3o2bo94bo2bo$22bo2bo18bo3b3o68b
2ob2obo96b2o$23bo20b2o4bo74bo96bobo44b3o$22b2obo196bob2o46bob3o$21bo4b
o23b2o71b3o92b2ob5o42bo3bo$21b2obobo23b2obo68b2o2bo91b2o3bobo42bo3bo$
21b2o2bo24bo2bo68b4o92bo2b5o$22b3o24b2obo73b3o93bo49bo$22b2o25b2o73bo
2bo94bo2bo44b2o$22b2o25b2o74b3o95bo46bo$23bobo24bobo72bo95bob2o46b3o$
124b2o95bo48bobobo$23bo2bo23bo2bo69bo3bo92bo50bob3o$24b2o25b2o69bo4bo
93bo3bo47bobo$25bo26bo70bobo2bo92b2obo48b2o$122bo101bo47bobo$25bo26bo
2$19bo6bo19bo6bo65bo6bo92bo6bo42bo6bo$18bobob2obobo17bobob2obobo63bobo
b2obobo90bobob2obobo40bobob2obobo$18b2o2b2o2b2o17b2o2b2o2b2o63b2o2b2o
2b2o90b2o2b2o2b2o40b2o2b2o2b2o$22b2o25b2o71b2o98b2o48b2o2$20b2o2b2o21b
2o2b2o67b2o2b2o94b2o2b2o44b2o2b2o$20b2o2b2o21b2o2b2o67b2o2b2o94b2o2b2o
44b2o2b2o$21b4o23b4o69b4o96b4o46b4o$21bo2bo23bo2bo69bo2bo96bo2bo46bo2b
o$20bo4bo21bo4bo67bo4bo94bo4bo44bo4bo$20bo4bo21bo4bo67bo4bo94bo4bo44bo
4bo$20bob2obo21bob2obo67bob2obo94bob2obo44bob2obo$21bo2bo23bo2bo69bo2b
o96bo2bo46bo2bo$21bo2bo23bo2bo69bo2bo96bo2bo46bo2bo2$15bo14bo11bo14bo
57bo14bo84bo14bo34bo14bo$15b2o4bo2bo4b2o11b2o4bo2bo4b2o57b2o4bo2bo4b2o
84b2o4bo2bo4b2o34b2o4bo2bo4b2o$15bo5b4o5bo11bo5b4o5bo57bo5b4o5bo84bo5b
4o5bo34bo5b4o5bo$16b2o4b2o4b2o13b2o4b2o4b2o59b2o4b2o4b2o86b2o4b2o4b2o
36b2o4b2o4b2o$17bo10bo15bo10bo61bo10bo88bo10bo38bo10bo$15bobo10bobo11b
obo10bobo57bobo10bobo84bobo10bobo34bobo10bobo$16b5o4b5o13b5o4b5o59b5o
4b5o86b5o4b5o36b5o4b5o$18bo2b4o2bo17bo2b4o2bo63bo2b4o2bo90bo2b4o2bo40b
o2b4o2bo$17bo4b2o4bo15bo4b2o4bo61bo4b2o4bo88bo4b2o4bo38bo4b2o4bo$21bo
2bo23bo2bo69bo2bo96bo2bo46bo2bo$22b2o25b2o71b2o98b2o48b2o$19b2ob2ob2o
19b2ob2ob2o65b2ob2ob2o92b2ob2ob2o42b2ob2ob2o2$18bo8bo17bo8bo63bo8bo90b
o8bo40bo8bo$17b3o6b3o15b3o6b3o61b3o6b3o88b3o6b3o38b3o6b3o$17bo2bo4bo2b
o15bo2bo4bo2bo61bo2bo4bo2bo88bo2bo4bo2bo38bo2bo4bo2bo$16b2o10b2o13b2o
10b2o59b2o10b2o86b2o10b2o36b2o10b2o8$o99bo49bo49bo49bo49bo49bo49bo49bo
49bo5$309bo45bobobo2$309bo49bo2$309bo45bobobo2$309bo45bo2$309bo45bobob
o77$372b5o$371bo2bo2bo$372bobob2o$319b5o49bo$318bo2bo2bo49bo$318b2obob
o50b2o$322bo49bob2o$321bo52bo$320b2o49bo2bo$320b2obo46b2obo$321bo48b4o
bo$322bobo45b2o4bo$323bo46b2o2b2o$369b2o3b2o$321b3o44bo$319b2ob2o47bo
2b2o$319b2obo48bo$318b2o2bo49bo$320bo49b2o3bo$319bo5bo43b2ob3o2bo$324b
3o42bobobo3bo$319b3o50b2o3bo$321b3o51b2o$322b2o49bo$322b5o45b5o$324bo
51bo$324bo46bo$324bo47bobo$323bo50bo3$319bo6bo42bo6bo$318bobob2obobo
40bobob2obobo$318b2o2b2o2b2o40b2o2b2o2b2o$322b2o48b2o2$320b2o2b2o44b2o
2b2o$320b2o2b2o44b2o2b2o$321b4o46b4o$321bo2bo46bo2bo$320bo4bo44bo4bo$
320bo4bo44bo4bo$320bob2obo44bob2obo$321bo2bo46bo2bo$321bo2bo46bo2bo2$
315bo14bo34bo14bo$315b2o4bo2bo4b2o34b2o4bo2bo4b2o$315bo5b4o5bo34bo5b4o
5bo$316b2o4b2o4b2o36b2o4b2o4b2o$317bo10bo38bo10bo$315bobo10bobo34bobo
10bobo$316b5o4b5o36b5o4b5o$318bo2b4o2bo40bo2b4o2bo$317bo4b2o4bo38bo4b
2o4bo$321bo2bo46bo2bo$322b2o48b2o$319b2ob2ob2o42b2ob2ob2o2$318bo8bo40b
o8bo$317b3o6b3o38b3o6b3o$317bo2bo4bo2bo38bo2bo4bo2bo$316b2o10b2o36b2o
10b2o18$o99bo49bo49bo49bo49bo49bo49bo49bo49bo5$5bobobo145bobobo245bobo
bo2$9bo149bo249bo2$5bobobo145bobobo245bobobo2$5bo149bo20b2o227bo$172b
3ob2o$5bobobo145bobobo14b4o227bobobo$176bo$171b2o$171bo4bo$175bo$171bo
3b2o$172b2obo$170b3o4bo$169bobo$168b2ob2o4bo$173bo3b2o$170bo3bo$170bo
3b2ob2o$169bob2ob4o$169bob4o2bo$172bobo2b2o$175b3o$171b2o$170bo2bo2b2o
$177bo$171b2o3bo$420bo$169bo3bo246b3o$170bobo246bob3o$170bo249bo3bo$
49bob3o119bo247bo$49b2o3bo115b5o246bo3bo$50bo118bob2o3bo245bo2bo$52b2o
115bobobo248b2o2bo$47b2o124b2obo243bo2bo$47b2o125bo2b2o240bo3bo$51bo
123b3o242b2obo$48bo2b2o123bo244bo4bo$46bo2b3o370bo2b3o$46bo2bo368b2o2b
o2bo$44b2o128b3o241b2o2b3o3bo$44b2ob2o4b2o118b2o2b2o244b2obo$45b5o3b2o
119b3o243bobo2bo2bo$49b4o119bo247b3o2bo$45b2o6b2o116bo248b3o3b2o$45bo
125b3o243b2o6b2o$171b2o244b3o5bobo$47b2obo3bo116b2o245b2o2bo4bo$47b3ob
4o116b2o245bo2b2obo$47b2o2bo117bobo247bo2bo3bo$47b2o3b2o115b3o251b2obo
$47b2o4bo115bo254bobo$169bobo253b3o$48bo121bo256bo$172bo250bo$45b3o
123b3o247bo2bo$47bo123b3o246bo2bo2b2o$46bo2b2o120b3obo245bo4b2o$46bo3b
o123bobo243b2o$45bo4bo124bo243b3o$47bob3o123bo246bo$48b4obo122b2o240bo
$49b2o3bo121b2o$51bo2bo$51b3o123b2o241b3o$179bo239b4o$51bo367bo$49b5o
120b3ob2o243bo$49bo3bo118bobo245bo2b2o$50b4o117bobo$51bo119bobo251bo$
47bobo121bobo249b5o$46bo2bo122b2ob2o249b2o$46bo125b2o252b2o$46bo2bo
121bo2b4o248b3o$171bobo$45bo127bo252bo$23b3o18b2obo123bobo252bo$22b2o
20b2obo121b2o5bo247bo2bo$20b2o4bo18bo123b3ob3ob2o$21b3obo20b2o120b2o4b
2o248b2o$20b3o25b2o119b2o250b4o$19b2o148b3o249b2o2bo$18bo2bo24bo374bo$
19bobob2o22bo3bo117b3o255bo$21bo3bo22b3obo117b2o251bo3bo$19bobob2o25b
3o118bo250b2obo2bo$18bo2b2o28bo117b2obo249b2o2bobo$19b3o29bobo118bob2o
247b2o$16b2o2bo4b2o25b2o114bo2bobo2bo245bo3b2o$21bobo2bo25bobo113bo4bo
2bo245bo$16bobo2bo32bo119b2o248bo$17b2o2bo3bo28bo115b4obo244bo2bo$17b
2o4b2o24b3o2b2o120bo243bo$18bo4bo146b2o3bobo241bo2bo$22bo3bo20b2o124bo
bo2bo241bo$18b2o6b2o19bo2bo122b3obo243bo2bo$17b3o2bo3bo19b3ob2o118bo2b
o249bobo$18bob3o3bo19bo3b2o118b3o249b2o2bo$18bo2bo2b2o19b3obo2bo123b2o
243b2ob2o$19b2o24b2obo127b2o242bo2b3o$18bobo24b5o3b2o113b2obo248b5obo$
18b2o25bo5bo119bobo247b2obobo$17bo30bo4bo115bobobob2o244b2o4bo$17bo3bo
23bo7bo115bobobob2o244bo4bo$21b3o21b2obo5bo118bob2o244b2o$17bo3b3o23bo
2bo2bo116b2o2bo247b2ob2o$17b2o4bo27bo119bobo3b2o244bobobo$50b2obo118b
2o2bobo244bo3bo$23b2o24bo4bo116b2o3b3o245bo$23b2obo22b2obobo114b2o3bo$
23bo2bo22b2o2bo115b6o249b3o$22b2obo24b3o371b3o$22b2o26b2o373b2o$22b2o
26b2o372bobo$23bobo25bobo116bo254b2o$169b3o248bo4b2o$23bo2bo24bo2bo
115bo2b2o244b2o3bo$24b2o26b2o116b2ob2o243bo5bo$25bo27bo119b2o244bobo$
173bo248b3o$25bo27bo369b2o2$19bo6bo20bo6bo114bo6bo242bo6bo$18bobob2obo
bo18bobob2obobo112bobob2obobo240bobob2obobo$18b2o2b2o2b2o18b2o2b2o2b2o
112b2o2b2o2b2o240b2o2b2o2b2o$22b2o26b2o120b2o248b2o2$20b2o2b2o22b2o2b
2o116b2o2b2o244b2o2b2o$20b2o2b2o22b2o2b2o116b2o2b2o244b2o2b2o$21b4o24b
4o118b4o246b4o$21bo2bo24bo2bo118bo2bo246bo2bo$20bo4bo22bo4bo116bo4bo
244bo4bo$20bo4bo22bo4bo116bo4bo244bo4bo$20bob2obo22bob2obo116bob2obo
244bob2obo$21bo2bo24bo2bo118bo2bo246bo2bo$21bo2bo24bo2bo118bo2bo246bo
2bo2$15bo14bo12bo14bo106bo14bo234bo14bo$15b2o4bo2bo4b2o12b2o4bo2bo4b2o
106b2o4bo2bo4b2o234b2o4bo2bo4b2o$15bo5b4o5bo12bo5b4o5bo106bo5b4o5bo
234bo5b4o5bo$16b2o4b2o4b2o14b2o4b2o4b2o108b2o4b2o4b2o236b2o4b2o4b2o$
17bo10bo16bo10bo110bo10bo238bo10bo$15bobo10bobo12bobo10bobo106bobo10bo
bo234bobo10bobo$16b5o4b5o14b5o4b5o108b5o4b5o236b5o4b5o$18bo2b4o2bo18bo
2b4o2bo112bo2b4o2bo240bo2b4o2bo$17bo4b2o4bo16bo4b2o4bo110bo4b2o4bo238b
o4b2o4bo$21bo2bo24bo2bo118bo2bo246bo2bo$22b2o26b2o120b2o248b2o$19b2ob
2ob2o20b2ob2ob2o114b2ob2ob2o242b2ob2ob2o2$18bo8bo18bo8bo112bo8bo240bo
8bo$17b3o6b3o16b3o6b3o110b3o6b3o238b3o6b3o$17bo2bo4bo2bo16bo2bo4bo2bo
110bo2bo4bo2bo238bo2bo4bo2bo$16b2o10b2o14b2o10b2o108b2o10b2o236b2o10b
2o8$o99bo49bo49bo49bo49bo49bo49bo49bo49bo5$5bobobo145bobobo295bobobo2$
9bo149bo299bo2$5bobobo145bobobo295bobobo2$5bo149bo299bo2$5bobobo145bob
obo295bobobo43$170bo$169bobo$172bo$169bo$171b2o$170b3o$177bo$173b6o$
173b3o$175b2o$175bo$175bo$175bo$176b2o$176b2o2$177b2o289b3o$179bo288b
3o$469b2o$174b3ob2o290bobob2o$172bobo294b2ob5o$171bobo296bo2bo2bo$171b
obo296b2o$171bobo297bo$172b2ob2o295b2o$172b2o298b2o$171bo2b4o295bo$18b
o152bobo297bobo$18b2o153bo296bo$18bo152bobo299bo$19b2o148b2o5bo293bobo
$20bo148b3ob3ob2o291bo$18bobo147b2o4b2o295bo$19b5ob2o142b2o298bo2bo$
21bo3b2o142b3o297bobo$21bo447bo$24bo144b3o298bo$22b2o146b2o$22b3o146bo
298b2o$23bo145b2obo296bo$23bobo146bob2o293b3o2bo$24b2o142bo2bobo2bo
293b2ob2o$24bobo141bo4bo2bo293bo2bo$26bo147b2o294bob2o$26bo143b4obo
294bo$21b3o2b2o148bo294bobo$170b2o3bobo289bob2o$19b2o152bobo2bo288bo3b
4o$19bo2bo150b3obo290bobo$18b3ob2o146bo2bo296b3o$18bo3b2o146b3o297b2ob
2o$17b3obo2bo151b2o292bo4bo$17b2obo155b2o293b2obo$17b5o3b2o141b2obo
299b3o$17bo5bo147bobo297b2o$20bo4bo143bobobob2o293bo3bo$17bo7bo143bobo
bob2o292b2ob4o$17b2obo5bo146bob2o293bo5bo$19bo2bo2bo144b2o2bo295bo2bo$
23bo147bobo3b2o295bo$22b2obo146b2o2bobo$21bo4bo144b2o3b3o292bobob2o$
21b2obobo142b2o3bo295b2ob2o$21b2o2bo143b6o295b2obobo$22b3o447b3o$22b2o
449b2o$22b2o448bo$23bobo144bo301bob2o$169b3o300bob2o$23bo2bo143bo2b2o
298b3o$24b2o144b2ob2o298b2o$25bo147b2o298b2o$173bo298bobo$25bo2$19bo6b
o142bo6bo292bo6bo$18bobob2obobo140bobob2obobo290bobob2obobo$18b2o2b2o
2b2o140b2o2b2o2b2o290b2o2b2o2b2o$22b2o148b2o298b2o2$20b2o2b2o144b2o2b
2o294b2o2b2o$20b2o2b2o144b2o2b2o294b2o2b2o$21b4o146b4o296b4o$21bo2bo
146bo2bo296bo2bo$20bo4bo144bo4bo294bo4bo$20bo4bo144bo4bo294bo4bo$20bob
2obo144bob2obo294bob2obo$21bo2bo146bo2bo296bo2bo$21bo2bo146bo2bo296bo
2bo2$15bo14bo134bo14bo284bo14bo$15b2o4bo2bo4b2o134b2o4bo2bo4b2o284b2o
4bo2bo4b2o$15bo5b4o5bo134bo5b4o5bo284bo5b4o5bo$16b2o4b2o4b2o136b2o4b2o
4b2o286b2o4b2o4b2o$17bo10bo138bo10bo288bo10bo$15bobo10bobo134bobo10bob
o284bobo10bobo$16b5o4b5o136b5o4b5o286b5o4b5o$18bo2b4o2bo140bo2b4o2bo
290bo2b4o2bo$17bo4b2o4bo138bo4b2o4bo288bo4b2o4bo$21bo2bo146bo2bo296bo
2bo$22b2o148b2o298b2o$19b2ob2ob2o142b2ob2ob2o292b2ob2ob2o2$18bo8bo140b
o8bo290bo8bo$17b3o6b3o138b3o6b3o288b3o6b3o$17bo2bo4bo2bo138bo2bo4bo2bo
288bo2bo4bo2bo$16b2o10b2o136b2o10b2o286b2o10b2o8$o99bo49bo49bo49bo49bo
49bo49bo49bo49bo35$5bobobo285bobobo2$9bo289bo2$5bobobo285bobobo2$5bo
293bo2$5bobobo285bobobo11$18bo29bo29bo29bo29bo29bo29bo29bo29bo49bo29bo
29bo$18b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o48b2o28b2o28b2o$18bo
29bo29bo29bo29bo29bo29bo29bo29bo49bo29bo29bo$19b2o28b2o28b2o28b2o28b2o
28b2o28b2o28b2o28b2o48b2o28b2o28b2o$20bo29bo29bo29bo29bo29bo29bo29bo
29bo49bo29bo29bo$18bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bob
o47bobo27bobo27bobo$19b5ob2o22b5ob2o22b5ob2o22b5ob2o22b5ob2o22b5ob2o
22b5ob2o22b5ob2o22b5ob2o42b5ob2o22b5ob2o22b5ob2o$21bo3b2o24bo3b2o24bo
3b2o24bo3b2o24bo3b2o24bo3b2o24bo3b2o24bo3b2o24bo3b2o44bo3b2o24bo3b2o
24bo3b2o$21bo29bo29bo29bo29bo29bo29bo29bo29bo49bo29bo29bo$24bo29bo29bo
29bo29bo29bo29bo29bo29bo49bo29bo29bo$22b2o28b2o28b2o28b2o28b2o28b2o28b
2o28b2o28b2o48b2o28b2o28b2o$22b3o27b3o27b3o27b3o27b3o27b3o27b3o27b3o
27b3o47b3o27b3o27b3o$23bo29bo29bo29bo29bo29bo29bo29bo29bo49bo29bo29bo$
23bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo47bobo27bobo27bo
bo$24b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o48b2o28b2o28b2o$24bobo
27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo47bobo27bobo27bobo$26b
o29bo29bo29bo29bo29bo29bo29bo29bo49bo29bo29bo$26bo29bo29bo29bo29bo29bo
29bo29bo29bo49bo29bo29bo$21b3o2b2o23b3o2b2o23b3o2b2o23b3o2b2o23b3o2b2o
23b3o2b2o23b3o2b2o23b3o2b2o23b3o2b2o43b3o2b2o23b3o2b2o23b3o2b2o2$19b2o
28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o48b2o28b2o28b2o$19bo2bo26bo2bo
26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo46bo2bo26bo2bo26bo2bo
$18b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3o
b2o44b3ob2o24b3ob2o24b3ob2o$18bo3b2o24bo3b2o24bo3b2o24bo3b2o24bo3b2o
24bo3b2o24bo3b2o24bo3b2o24bo3b2o44bo3b2o24bo3b2o24bo3b2o$17b3obo2bo22b
3obo2bo22b3obo2bo22b3obo2bo22b3obo2bo22b3obo2bo22b3obo2bo22b3obo2bo22b
3obo2bo42b3obo2bo22b3obo2bo22b3obo2bo$17b2obo26b2obo26b2obo26b2obo26b
2obo26b2obo26b2obo26b2obo26b2obo46b2obo26b2obo26b2obo$17b5o3b2o20b5o3b
2o20b5o3b2o20b5o3b2o20b5o3b2o20b5o3b2o20b5o3b2o20b5o3b2o20b5o3b2o40b5o
3b2o20b5o3b2o20b5o3b2o$17bo5bo23bo5bo23bo5bo23bo5bo23bo5bo23bo5bo23bo
5bo23bo5bo23bo5bo43bo5bo23bo5bo23bo5bo$20bo4bo24bo4bo24bo4bo24bo4bo24b
o4bo24bo4bo24bo4bo24bo4bo24bo4bo44bo4bo24bo4bo24bo4bo$17bo7bo21bo7bo
21bo7bo21bo7bo21bo7bo21bo7bo21bo7bo21bo7bo21bo7bo41bo7bo21bo7bo21bo7bo
$17b2obo5bo20b2obo5bo20b2obo5bo20b2obo5bo20b2obo5bo20b2obo5bo20b2obo5b
o20b2obo5bo20b2obo5bo40b2obo5bo20b2obo5bo20b2obo5bo$19bo2bo2bo23bo2bo
2bo23bo2bo2bo23bo2bo2bo23bo2bo2bo23bo2bo2bo23bo2bo2bo23bo2bo2bo23bo2bo
2bo43bo2bo2bo23bo2bo2bo23bo2bo2bo$23bo29bo29bo29bo29bo29bo29bo29bo29bo
49bo29bo29bo$22b2obo26b2obo26b2obo26b2obo26b2obo26b2obo26b2obo26b2obo
26b2obo46b2obo26b2obo26b2obo$21bo4bo24bo4bo24bo4bo24bo4bo24bo4bo24bo4b
o24bo4bo24bo4bo24bo4bo44bo4bo24bo4bo24bo4bo$21b2obobo24b2obobo24b2obob
o24b2obobo24b2obobo24b2obobo24b2obobo24b2obobo24b2obobo44b2obobo24b2ob
obo24b2obobo$21b2o2bo25b2o2bo25b2o2bo25b2o2bo25b2o2bo25b2o2bo25b2o2bo
25b2o2bo25b2o2bo45b2o2bo25b2o2bo25b2o2bo$22b3o27b3o27b3o27b3o27b3o27b
3o27b3o27b3o27b3o47b3o27b3o27b3o$22b2o28b2o28b2o28b2o28b2o28b2o28b2o
28b2o28b2o48b2o28b2o28b2o$22b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b
2o48b2o28b2o28b2o$23bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bo
bo47bobo27bobo27bobo$108b3o5bo$23bo2bo26bo2bo26bo2bo20bob2o2bo2bo26bo
2bo26bo2bo26bo2bo26bo2bo26bo2bo46bo2bo26bo2bo26bo2bo$24b2o28b2o28b2o
21b4obo3bo27b2o28b2o28b2o28b2o28b2o48b2o28b2o28b2o$25bo29bo29bo23bo2bo
32bo29bo29bo29bo29bo49bo29bo29bo$109bo2b2o$25bo85b3o229bo3bo$113b2o29b
obo27bobo134bo7bo23bo3bo26bobo$24bo6bo78b2ob2o30bo29bo27bo3bo25bo3bo
19b2o13b2o35b2o9b2o19b3o3b3o25bo$23bobob2obobo17bo6bo25bo6bo18bobo33bo
29bo26bobobobo23bobobobo17bo2bo5bo5bo2bo34bobo2b3o2bobo18b2o7b2o24bo$
23b2o2b2o2b2o16bob6obo23bob6obo17b2o2bo23bo3b2o35b2o3bo18b2o2bo2bo21bo
2bo2b2o17bo4b4ob4o4bo35b3ob3ob3o19b3o5b3o16bo3b2o12b2o3bo$27b2o20b2o6b
2o23b2o6b2o15b2obob2o23bo2bob2o33b2obo2bo74bo2b2o5b2o2bo38bobo3bobo20b
2o7b2o16bo2bob2o10b2obo2bo$53b2o31b2o23bo24bo2bob3o33b3obo2bo20bo2bo
23bo2bo21b2o4bobobo4b2o36b2o7b2o18b2o4bo4b2o14bo2bob3o3b4o3b3obo2bo$
25b2o2b2o21b4o29b4o22bo30b2o33b2o26bobo25bobo24b3ob3ob3o39b2o7b2o18bo
4b3o4bo20b2o4b2o4b2o$25b2o2b2o20b2o2b2o27b2o2b2o20b2o29b3o33b3o25bo29b
o24b2o7b2o40bo7bo20bo3b3o3bo20bob3obo2bob3obo$26b4o77b3o31b2o35b2o26b
2o25b2o74bobo7bobo51bo3b4o3bo$26bo2bo78b3o30b2o35b2o27bo25bo74bo13bo
50bo3bo2bo3bo$25bo4bo20b2o2b2o27b2o2b2o118bo23bo30b5o41b3o7b3o21bo3bo
26b3ob2ob3o$25bo4bo20b2o2b2o27b2o2b2o49b3o37b3o82b3o45bobobobo24b5o$
25bob2obo19b2o4b2o25b2o4b2o16bo6bo23bobo39bobo22bobo25bobo28b3o45bobob
obo20bo11bo22b2o6b2o$26bo2bo21bob2obo27bob2obo16bobob2obobo21bo4b2o33b
2o4bo22bo27bo77bo5bo19b2o4bobo4b2o20bo10bo$26bo2bo21b2o2b2o27b2o2b2o
16b2o2b2o2b2o21bo2bo39bo2bo19b2obo27bob2o25b2ob2o40b2o2bobobobo2b2o14b
2o5bobo5b2o20b2o6b2o$110b2o26b2o41b2o21b2o29b2o26b2ob2o40b2o11b2o19bo
2bo2bo$20bo14bo169bo29bo26b3ob3o39b3o9b3o18b3o3b3o$20b2o4bo2bo4b2o10b
2o12b2o17b2o12b2o13b2o2b2o25b2o39b2o20bobo31bobo23b2o3b2o41bo9bo$20bo
5b4o5bo9b3o4bo2bo4b3o15b3o4bo2bo4b3o12b2o2b2o23bo4bo35bo4bo25b2o19b2o
28b2obo3bob2o39bo9bo$21b2o4b2o4b2o11bobo3bo2bo3bobo17bobo3bo2bo3bobo
14b4o23bo6bo33bo6bo18bobobobo21bobobobo21bo4bobo4bo37b2o9b2o$22bo10bo
13b2o3bo2bo3b2o19b2o3bo2bo3b2o15bo2bo22bo8bo31bo8bo23bo21bo28bobobobob
obo38bo11bo21b2ob2o$20bobo10bobo12b2o8b2o21b2o8b2o15bo4bo21b2ob4ob2o
31b2ob4ob2o19bo3bo21bo3bo21b2o2b2obobob2o2b2o34bobo9bobo18b2obobob2o$
21b5o4b5o15bo6bo25bo6bo17bo4bo92b4o21b4o28b2ob2o40bobo9bobo18b2obobob
2o$23bo2b4o2bo14bo2b8o2bo19bo2b8o2bo14bob2obo93b2o23b2o27b3o3b3o38b3o
9b3o18b2obobob2o$22bo4b2o4bo13bo3b2o2b2o3bo19bo3b2o2b2o3bo15bo2bo24b2o
2b2o35b2o2b2o23b3o21b3o26b3o5b3o39bo9bo19b3obobob3o$26bo2bo79bo2bo24b
2o2b2o35b2o2b2o76bo2bo3bo2bo68bo3b5o3bo$27b2o23bo2bo29bo2bo174bo3bo39b
2o13b2o$24b2ob2ob2o19bo4bo27bo4bo13bo14bo20b2o39b2o79bo7bo38b2obo7bob
2o14b2obo9bob2o$52b4o29b4o14b2o4bo2bo4b2o19b4o37b4o22b4o23b4o25b3o3b3o
41bo7bo17bo2bobob3obobo2bo$23bo8bo17bo6bo25bo6bo12bo5b4o5bo18b2o2b2o
35b2o2b2o20b6o21b6o72bo3bo3bo3bo15b4ob7ob4o$22b3o6b3o14b3o6b3o21b3o6b
3o11b2o4b2o4b2o19bo4bo35bo4bo19b8o19b8o76bobo22b2o9b2o$22bo2bo4bo2bo
14bobo6bobo21bobo6bobo12bo10bo22b2o39b2o20b2o6b2o17b2o6b2o19b2ob3o3b3o
b2o41bobo24b2o5b2o$21b2o10b2o15bo6bo25bo6bo12bobo10bobo18bo4bo35bo4bo
74b2obo2bobo2bob2o39bobobobo$47b2o10b2o19b2o10b2o10b5o4b5o19bo4bo35bo
4bo79bo3bo43b2obobob2o21b2obobob2o$106bo2b4o2bo16bo14bo25bo14bo15bo4bo
21bo4bo21b2ob2o5b2ob2o41bobo26bo3bo$105bo4b2o4bo14bobo4bo2bo4bobo23bob
o4bo2bo4bobo14b2o2b2o21b2o2b2o22bo11bo38bo3bobo3bo$109bo2bo21bo3b4o3bo
29bo3b4o3bo75b2o3b2o45bobo$110b2o19bo16bo23bo16bo71b2obobob2o41bobo3bo
bo$107b2ob2ob2o18b2o10b2o27b2o10b2o17b4o23b4o25b2obobob2o41b2o5b2o$
132b3o10b3o25b3o10b3o16bo2bo23bo2bo26bobobobo40b3o7b3o$106bo8bo21bo4bo
35bo4bo20bo4bo21bo4bo27bobo40b2o2b2o5b2o2b2o$105b3o6b3o18b2obo2bob2o
31b2obo2bob2o19b4o23b4o25b3o3b3o$105bo2bo4bo2bo18b2o2b2o2b2o31b2o2b2o
2b2o18b2o2b2o21b2o2b2o25bo5bo39bo13bo$104b2o10b2o17b2o6b2o31b2o6b2o19b
4o23b4o21b2o4bo3bo4b2o34bo13bo$136b2ob2ob2o33b2ob2ob2o21b2o25b2o25bob
3ob3obo37bo13bo$136b2ob2ob2o33b2ob2ob2o13b3o5b2o5b3o9b3o5b2o5b3o17bobo
bobobobo$198b3o4bo2bo4b3o9b3o4bo2bo4b3o17bo9bo$199b2o3bo4bo3b2o11b2o3b
o4bo3b2o16bo13bo$134b3o6b3o29b3o6b3o13bobo8bobo13bobo8bobo16bo3bo7bo3b
o$133bo3bo4bo3bo27bo3bo4bo3bo11bo14bo11bo14bo19bo7bo$136bo6bo33bo6bo
15bo2bobo2bobo2bo13bo2bobo2bobo2bo19bo4bo4bo$133b2o10b2o27b2o10b2o15bo
6bo19bo6bo20bobo3bobo3bobo$203bob4obo19bob4obo19b2o3bo5bo3b2o$203bo6bo
19bo6bo19b5obo3bob5o$203b2ob2ob2o19b2ob2ob2o22b2obobobob2o$204bob2obo
21bob2obo27b3o$265bo2$202b2o6b2o17b2o6b2o$200b2obo6bob2o13b2obo6bob2o$
200b4o6b4o13b4o6b4o$201bo10bo15bo10bo!
I've come up with a manual and non-rigorous method from removing repeating components, if the search doesn't find a spaceship I'll be able to say that there "probably" isn't a width 12 spaceship. I have two more seedcolumns to try first though.

Edit: one of the columns was just an alternate stabilization of the first column pushalongs so I've removed the superfluous column from the table and broken out the alternate stabilizations.

Sokwe
Moderator
Posts: 1626
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » February 10th, 2020, 8:02 am

mscibing wrote:
February 9th, 2020, 11:46 am
if the search doesn't find a spaceship I'll be able to say that there "probably" isn't a width 12 spaceship. I have two more seedcolumns to try first though.
I'm somewhat surprised that you haven't found a spaceship yet. Am I right in thinking that the last seed columns generally represent a larger search area than the first seed columns?
-Matthias Merzenich

mscibing
Posts: 46
Joined: May 18th, 2010, 8:30 pm

Re: Spaceship Discussion Thread

Post by mscibing » February 17th, 2020, 3:34 pm

Sokwe wrote:
February 10th, 2020, 8:02 am
Am I right in thinking that the last seed columns generally represent a larger search area than the first seed columns?
A seedcolumn within a couple of columns of the margin does appear to be a smaller search, but I'm not seeing a pattern beyond that.

I'm surprised I haven't found a spaceship too, but right now it's not looking very good. Updated table with a couple new pushalongs:

Code: Select all

x = 624, y = 1054, rule = B3/S23
#C  Asymmetric c6o pushalongs organized by initial component (rows)
#C  and final component (columns).
#C
#C  Pushalongs in the first two columns can be stabilized in many ways
#C  including by pushalongs in the first three rows.
#C  
#C  1. Josh Ball, 18 Aug 2013
#C  2. Andrew J. Wade, Jan - Feb 2020
#C  3. Matthias Merzenich, Jan 2020
#C
#C  Stabilizations are by ships found by:
#C  Tim Coe
#C  Hartmut Holzwart
#C  Paul Tooke
#C
#C  In addition to a backend found by:
#C  Matthias Merzenich
#C
#C And the pushalong found by:
#C Tim Coe
#C
#C A..E                                Front-ends
#C a..k                                Back-ends
#C (a,b)-A, (a,b)-B, (a,b)-C  Connections. These all use the same transition component.
#C a-stab, b-stab.                Alternate stabilizations.
#C
70bo103bo99bo95bo51bo52bo44bo2$70bo103bo47bo49bo97bo149bo2$22bobo45bob
o49bobo47bobo45bo3bo47bobo47bobo45bobo49bo52bo44bo3bo2$20bo3bo45bo3bo
45bo49bo3bo45bobo49bo47bo3bo45bo3bo47bo52bo44bobo2$22bobo45bobo49bobo
47bobo47bobo47bo49bobo45bo3bo47bo48bo3bo44bo3bo2$324bo148bo2$320bobo3$
15bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo5$2bo17bobobo95bobobo
95bobobo49bo2$o3bo19bo99bo99bo49bo2$obobo15bobobo95bobobo95bobobo49bo
2$o3bo15bo99bo99bo53bo2$o3bo15bobobo95bobobo95bobobo49bo29$135b2ob2o$
134b4obo$133bo6bo$134bo4bo$139bo$136bobo$137b2o$137bobo$140b4o$137bo6b
o$137bo4b2o$136bo3bo$135b2o$138bo$40bo94b2o3bo$36b6o94bo3b3o$36bo4bo
98bobo$36b6o99b3o$38b3o100bobo$137b2o3bo$39bo96bo2b2o$39b2o94b2o2bo$
40b2o2b2o89b2ob2o$40b3ob2o92bo$40b3ob2o87b6o$40b2o96bo$37b3o93bo3bo$
38bob2o96bo$38b2o97b2obo$38bobob2o93bo2bo$43b2o89b2o2bobo$44bo88bo3b2o
$45bo91b2ob2o$39b2o2b2o90bob2o$38bo2bo100bo$38bo2bo97bobo$38b3o99bo$
38bobo$36b2obo97b4o$35b2o3bo95b4ob2o$35b5o95b2o4b2o$37b2o97bo2b2o$40b
2o93b2o2b2o$40b3o91bo$36b2o2bobo91bo7bo$36b2o101bob2o$36b2ob2obo96bo$
37bo2bob2o94b2o2bo$37bo4b2o$41b3o$136b4o$134bo4bo$42bo91bo4bo$38b4obo
90b2o3bo$38bo4b2o92b2o$37bo3b2o94b3o$39bo2bo96bo$35b3o100b2o94bo$41bo
191b6o$43b3o90bo96bo4bo$41b2o92b3o95b6o$39bo2b4o88bo2bobo94b3o$39bo3bo
89bo2bo2bo96bo$42bo95bo96b3o$39bo94bo2bo96b2o3bo$37b2ob2o191b2o2bo2bo$
36b6o94bob2o93bob2o4bo$37bo98bo3bo93b5obo$40bo96bo3bo92b4o$39b2o100bo
94bob2o$41bo92b2o2bo$41bo91bo2b3o2bo94bo2bo$37bo2bo93b2ob2obo96b2o$38b
o101bo96bobo44b3o$37b2obo196bob2o46bob3o$36bo4bo96b3o92b2ob5o42bo3bo$
36b2obobo95b2o2bo91b2o3bobo42bo3bo$36b2o2bo96b4o92bo2b5o$37b3o101b3o
93bo49bo$37b2o100bo2bo94bo2bo44b2o$37b2o101b3o95bo46bo$38bobo99bo95bob
2o46b3o$139b2o95bo48bobobo$38bo2bo96bo3bo92bo50bob3o$39b2o96bo4bo93bo
3bo47bobo$40bo97bobo2bo92b2obo48b2o$137bo101bo47bobo$40bo2$34bo6bo92bo
6bo92bo6bo42bo6bo$33bobob2obobo90bobob2obobo90bobob2obobo40bobob2obobo
$33b2o2b2o2b2o90b2o2b2o2b2o90b2o2b2o2b2o40b2o2b2o2b2o$37b2o98b2o98b2o
48b2o2$35b2o2b2o94b2o2b2o94b2o2b2o44b2o2b2o$35b2o2b2o94b2o2b2o94b2o2b
2o44b2o2b2o$36b4o96b4o96b4o46b4o$36bo2bo96bo2bo96bo2bo46bo2bo$35bo4bo
94bo4bo94bo4bo44bo4bo$35bo4bo94bo4bo94bo4bo44bo4bo$35bob2obo94bob2obo
94bob2obo44bob2obo$36bo2bo96bo2bo96bo2bo46bo2bo$36bo2bo96bo2bo96bo2bo
46bo2bo2$30bo14bo84bo14bo84bo14bo34bo14bo$30b2o4bo2bo4b2o84b2o4bo2bo4b
2o84b2o4bo2bo4b2o34b2o4bo2bo4b2o$30bo5b4o5bo84bo5b4o5bo84bo5b4o5bo34bo
5b4o5bo$31b2o4b2o4b2o86b2o4b2o4b2o86b2o4b2o4b2o36b2o4b2o4b2o$32bo10bo
88bo10bo88bo10bo38bo10bo$30bobo10bobo84bobo10bobo84bobo10bobo34bobo10b
obo$31b5o4b5o86b5o4b5o86b5o4b5o36b5o4b5o$33bo2b4o2bo90bo2b4o2bo90bo2b
4o2bo40bo2b4o2bo$32bo4b2o4bo88bo4b2o4bo88bo4b2o4bo38bo4b2o4bo$36bo2bo
96bo2bo96bo2bo46bo2bo$37b2o98b2o98b2o48b2o$34b2ob2ob2o92b2ob2ob2o92b2o
b2ob2o42b2ob2ob2o2$33bo8bo90bo8bo90bo8bo40bo8bo$32b3o6b3o88b3o6b3o88b
3o6b3o38b3o6b3o$32bo2bo4bo2bo88bo2bo4bo2bo88bo2bo4bo2bo38bo2bo4bo2bo$
31b2o10b2o86b2o10b2o86b2o10b2o36b2o10b2o8$15bo49bo49bo49bo49bo49bo49bo
49bo49bo49bo49bo49bo5$obo321bo45bobobo2$o3bo319bo49bo2$obo321bo45bobob
o2$o3bo319bo45bo2$obo321bo45bobobo77$387b5o$386bo2bo2bo$387bobob2o$
334b5o49bo$333bo2bo2bo49bo$333b2obobo50b2o$337bo49bob2o$336bo52bo$335b
2o49bo2bo$335b2obo46b2obo$336bo48b4obo$337bobo45b2o4bo$338bo46b2o2b2o$
384b2o3b2o$336b3o44bo$334b2ob2o47bo2b2o$334b2obo48bo$333b2o2bo49bo$
335bo49b2o3bo$334bo5bo43b2ob3o2bo$339b3o42bobobo3bo$334b3o50b2o3bo$
336b3o51b2o$337b2o49bo$337b5o45b5o$339bo51bo$339bo46bo$339bo47bobo$
338bo50bo3$334bo6bo42bo6bo$333bobob2obobo40bobob2obobo$333b2o2b2o2b2o
40b2o2b2o2b2o$337b2o48b2o2$335b2o2b2o44b2o2b2o$335b2o2b2o44b2o2b2o$
336b4o46b4o$336bo2bo46bo2bo$335bo4bo44bo4bo$335bo4bo44bo4bo$335bob2obo
44bob2obo$336bo2bo46bo2bo$336bo2bo46bo2bo2$330bo14bo34bo14bo$330b2o4bo
2bo4b2o34b2o4bo2bo4b2o$330bo5b4o5bo34bo5b4o5bo$331b2o4b2o4b2o36b2o4b2o
4b2o$332bo10bo38bo10bo$330bobo10bobo34bobo10bobo$331b5o4b5o36b5o4b5o$
333bo2b4o2bo40bo2b4o2bo$332bo4b2o4bo38bo4b2o4bo$336bo2bo46bo2bo$337b2o
48b2o$334b2ob2ob2o42b2ob2ob2o2$333bo8bo40bo8bo$332b3o6b3o38b3o6b3o$
332bo2bo4bo2bo38bo2bo4bo2bo$331b2o10b2o36b2o10b2o18$15bo49bo49bo49bo
49bo49bo49bo49bo49bo49bo49bo49bo5$2bobo15bobobo145bobobo2$o23bo149bo2$
o19bobobo145bobobo2$o19bo149bo20b2o$187b3ob2o$2bobo15bobobo145bobobo
14b4o$191bo$186b2o$186bo4bo$190bo$186bo3b2o$187b2obo$185b3o4bo$184bobo
$183b2ob2o4bo$188bo3b2o$185bo3bo$185bo3b2ob2o$184bob2ob4o$184bob4o2bo$
187bobo2b2o$190b3o$186b2o$185bo2bo2b2o$192bo$186b2o3bo2$184bo3bo$185bo
bo$185bo$36bob3o147bo$36b2o3bo143b5o$37bo146bob2o3bo$39b2o143bobobo$
34b2o152b2obo$34b2o153bo2b2o$38bo151b3o$35bo2b2o151bo$33bo2b3o$33bo2bo
$31b2o156b3o$31b2ob2o4b2o146b2o2b2o$32b5o3b2o147b3o$36b4o147bo$32b2o6b
2o144bo$32bo153b3o$186b2o$34b2obo3bo144b2o$34b3ob4o144b2o$34b2o2bo145b
obo$34b2o3b2o143b3o$34b2o4bo143bo$184bobo$35bo149bo$187bo$32b3o151b3o$
34bo151b3o$33bo2b2o148b3obo$33bo3bo151bobo$32bo4bo152bo$34bob3o151bo$
35b4obo150b2o$36b2o3bo149b2o$38bo2bo$38b3o151b2o$194bo$38bo$36b5o148b
3ob2o$36bo3bo146bobo$37b4o145bobo$38bo147bobo$34bobo149bobo$33bo2bo
150b2ob2o$33bo153b2o$33bo2bo149bo2b4o$186bobo$32bo155bo$31b2obo54b3o
94bobo$31b2obo53b2o94b2o5bo$32bo53b2o4bo91b3ob3ob2o$33b2o52b3obo91b2o
4b2o$35b2o49b3o95b2o$85b2o97b3o$33bo50bo2bo$34bo3bo46bobob2o93b3o$35b
3obo47bo3bo93b2o$37b3o45bobob2o95bo$38bo45bo2b2o95b2obo$38bobo44b3o99b
ob2o$39b2o41b2o2bo4b2o90bo2bobo2bo$39bobo45bobo2bo90bo4bo2bo$41bo40bob
o2bo101b2o$41bo41b2o2bo3bo93b4obo$36b3o2b2o40b2o4b2o100bo$84bo4bo95b2o
3bobo$34b2o52bo3bo95bobo2bo$34bo2bo46b2o6b2o94b3obo$33b3ob2o44b3o2bo3b
o92bo2bo$33bo3b2o45bob3o3bo92b3o$32b3obo2bo44bo2bo2b2o99b2o$32b2obo49b
2o104b2o$32b5o3b2o42bobo96b2obo$32bo5bo45b2o100bobo$35bo4bo42bo100bobo
bob2o$32bo7bo42bo3bo96bobobob2o$32b2obo5bo45b3o98bob2o$34bo2bo2bo42bo
3b3o95b2o2bo$38bo44b2o4bo96bobo3b2o$37b2obo146b2o2bobo$36bo4bo47b2o95b
2o3b3o$36b2obobo47b2obo91b2o3bo$36b2o2bo48bo2bo91b6o$37b3o48b2obo$37b
2o49b2o$37b2o49b2o$38bobo48bobo93bo$184b3o$38bo2bo47bo2bo92bo2b2o$39b
2o49b2o93b2ob2o$40bo50bo96b2o$188bo$40bo50bo2$34bo6bo43bo6bo91bo6bo$
33bobob2obobo41bobob2obobo89bobob2obobo$33b2o2b2o2b2o41b2o2b2o2b2o89b
2o2b2o2b2o$37b2o49b2o97b2o2$35b2o2b2o45b2o2b2o93b2o2b2o$35b2o2b2o45b2o
2b2o93b2o2b2o$36b4o47b4o95b4o$36bo2bo47bo2bo95bo2bo$35bo4bo45bo4bo93bo
4bo$35bo4bo45bo4bo93bo4bo$35bob2obo45bob2obo93bob2obo$36bo2bo47bo2bo
95bo2bo$36bo2bo47bo2bo95bo2bo2$30bo14bo35bo14bo83bo14bo$30b2o4bo2bo4b
2o35b2o4bo2bo4b2o83b2o4bo2bo4b2o$30bo5b4o5bo35bo5b4o5bo83bo5b4o5bo$31b
2o4b2o4b2o37b2o4b2o4b2o85b2o4b2o4b2o$32bo10bo39bo10bo87bo10bo$30bobo
10bobo35bobo10bobo83bobo10bobo$31b5o4b5o37b5o4b5o85b5o4b5o$33bo2b4o2bo
41bo2b4o2bo89bo2b4o2bo$32bo4b2o4bo39bo4b2o4bo87bo4b2o4bo$36bo2bo47bo2b
o95bo2bo$37b2o49b2o97b2o$34b2ob2ob2o43b2ob2ob2o91b2ob2ob2o2$33bo8bo41b
o8bo89bo8bo$32b3o6b3o39b3o6b3o87b3o6b3o$32bo2bo4bo2bo39bo2bo4bo2bo87bo
2bo4bo2bo$31b2o10b2o37b2o10b2o85b2o10b2o8$15bo49bo49bo49bo49bo49bo49bo
49bo49bo49bo49bo49bo5$obo17bobobo145bobobo245bobobo2$o3bo19bo149bo249b
o2$o3bo15bobobo145bobobo245bobobo2$o3bo15bo149bo249bo2$obo17bobobo145b
obobo245bobobo43$185bo$184bobo$187bo$184bo$186b2o$185b3o$192bo$188b6o$
188b3o$190b2o$190bo$190bo$190bo$191b2o$191b2o2$192b2o239b3o$194bo238b
3o$434b2o$189b3ob2o240bobob2o$187bobo244b2ob5o$186bobo246bo2bo2bo$186b
obo246b2o$186bobo247bo$187b2ob2o245b2o$187b2o248b2o$186bo2b4o245bo$33b
o152bobo247bobo$33b2o153bo246bo$33bo152bobo249bo$34b2o148b2o5bo243bobo
$35bo148b3ob3ob2o241bo$33bobo147b2o4b2o245bo$34b5ob2o142b2o248bo2bo$
36bo3b2o142b3o247bobo$36bo397bo$39bo144b3o248bo$37b2o146b2o$37b3o146bo
248b2o$38bo145b2obo246bo$38bobo146bob2o243b3o2bo$39b2o142bo2bobo2bo
243b2ob2o$39bobo141bo4bo2bo243bo2bo$41bo147b2o244bob2o$41bo143b4obo
244bo$36b3o2b2o148bo244bobo$185b2o3bobo239bob2o$34b2o152bobo2bo238bo3b
4o$34bo2bo150b3obo240bobo$33b3ob2o146bo2bo246b3o$33bo3b2o146b3o247b2ob
2o$32b3obo2bo151b2o242bo4bo$32b2obo155b2o243b2obo$32b5o3b2o141b2obo
249b3o$32bo5bo147bobo247b2o$35bo4bo143bobobob2o243bo3bo$32bo7bo143bobo
bob2o242b2ob4o$32b2obo5bo146bob2o243bo5bo$34bo2bo2bo144b2o2bo245bo2bo$
38bo147bobo3b2o245bo$37b2obo146b2o2bobo$36bo4bo144b2o3b3o242bobob2o$
36b2obobo142b2o3bo245b2ob2o$36b2o2bo143b6o245b2obobo$37b3o397b3o$37b2o
399b2o$37b2o398bo$38bobo144bo251bob2o$184b3o250bob2o$38bo2bo143bo2b2o
248b3o$39b2o144b2ob2o248b2o$40bo147b2o248b2o$188bo248bobo$40bo2$34bo6b
o142bo6bo242bo6bo$33bobob2obobo140bobob2obobo240bobob2obobo$33b2o2b2o
2b2o140b2o2b2o2b2o240b2o2b2o2b2o$37b2o148b2o248b2o2$35b2o2b2o144b2o2b
2o244b2o2b2o$35b2o2b2o144b2o2b2o244b2o2b2o$36b4o146b4o246b4o$36bo2bo
146bo2bo246bo2bo$35bo4bo144bo4bo244bo4bo$35bo4bo144bo4bo244bo4bo$35bob
2obo144bob2obo244bob2obo$36bo2bo146bo2bo246bo2bo$36bo2bo146bo2bo246bo
2bo2$30bo14bo134bo14bo234bo14bo$30b2o4bo2bo4b2o134b2o4bo2bo4b2o234b2o
4bo2bo4b2o$30bo5b4o5bo134bo5b4o5bo234bo5b4o5bo$31b2o4b2o4b2o136b2o4b2o
4b2o236b2o4b2o4b2o$32bo10bo138bo10bo238bo10bo$30bobo10bobo134bobo10bob
o234bobo10bobo$31b5o4b5o136b5o4b5o236b5o4b5o$33bo2b4o2bo140bo2b4o2bo
240bo2b4o2bo$32bo4b2o4bo138bo4b2o4bo238bo4b2o4bo$36bo2bo146bo2bo246bo
2bo$37b2o148b2o248b2o$34b2ob2ob2o142b2ob2ob2o242b2ob2ob2o2$33bo8bo140b
o8bo240bo8bo$32b3o6b3o138b3o6b3o238b3o6b3o$32bo2bo4bo2bo138bo2bo4bo2bo
238bo2bo4bo2bo$31b2o10b2o136b2o10b2o236b2o10b2o8$15bo49bo49bo49bo49bo
49bo49bo49bo49bo49bo49bo49bo5$obobo465bobobo45bobobo2$o473bo49bo2$obo
467bobobo45bobobo2$o469bo49bo2$obobo465bobobo45bobobo25$536b2o$535b2ob
o$534bobo2bo$533bo4bo$532bo3b4o$531bob2ob2obo$532bo2bob2o$537bo$534b2o
bo$532bo$532bo5bo$532b4ob2o$538bo2$538b3o2$535bo4bo$534bobo3b2o$534bob
o3b2o$534b2o$533bobo$532bob2o$531b2obobo$531b2o3bob2o$533bo2bob2o$534b
ob2o$533bo2bo$532bo2bo$532bo$531b2ob2o3$531b2o$531b2ob2o$532b2o2bo$
534b2o2$533b2obo$532b5ob3o$531b2o3bobo$533bo$537bo$536b3ob3o$535bo3bob
2o$535bob2ob2o$535b3o2bo$534b2o3b2o$532b2o3b2obo$532bobo2bo2b2o$532b2o
4bobo$533b2o3b2o$535bob2o$536b2o$536b2o2$537b3o$538b2o$537bo$538bobo$
487b2o44bob2o4bo$486b2obo43b2ob3o2bo$485bobo2bo43b2o4bo$484bo4bo46b2o
2bo$483bo3b4o43bo2bobo$482bob2ob2obo43bo4bo$483bo2bob2o43bo4b2o$488bo
49b3o$485b2obo50b2o$486bo$485b2o44b2o13b2o$483bo2b2o42bo2bo5bo5bo2bo$
482b2o46bo4b4ob4o4bo$486b2o44bo2b2o5b2o2bo$486b2o43b2o4bobobo4b2o$486b
obo45b3ob3ob3o$485b4o45b2o7b2o$484bo2bobo$482b2o4bobo$484bo5bo46b5o$
482bobo2bo50b3o$483bo6b2o46b3o$489b2o$490b2o45b2ob2o$488bo48b2ob2o$
488bo47b3ob3o$486b4o2bo43b2o3b2o$486b2o2b2o42b2obo3bob2o$485bobo4bo40b
o4bobo4bo$485bob2o45bobobobobobo$531b2o2b2obobob2o2b2o$537b2ob2o$486b
2o2bo44b3o3b3o$534b3o5b3o$484bo6bo42bo2bo3bo2bo$483bobob2obobo44bo3bo$
483b2o2b2o2b2o42bo7bo$487b2o46b3o3b3o2$485b2o2b2o$485b2o2b2o41b2ob3o3b
3ob2o$486b4o42b2obo2bobo2bob2o$486bo2bo47bo3bo$485bo4bo41b2ob2o5b2ob2o
$485bo4bo42bo11bo$485bob2obo45b2o3b2o$486bo2bo45b2obobob2o$486bo2bo45b
2obobob2o$536bobobobo$480bo14bo42bobo$480b2o4bo2bo4b2o39b3o3b3o$480bo
5b4o5bo40bo5bo$481b2o4b2o4b2o36b2o4bo3bo4b2o$482bo10bo40bob3ob3obo$
480bobo10bobo38bobobobobobo$481b5o4b5o39bo9bo$483bo2b4o2bo39bo13bo$
482bo4b2o4bo37bo3bo7bo3bo$486bo2bo45bo7bo$487b2o45bo4bo4bo$484b2ob2ob
2o40bobo3bobo3bobo$531b2o3bo5bo3b2o$483bo8bo38b5obo3bob5o$482b3o6b3o
40b2obobobob2o$482bo2bo4bo2bo44b3o$481b2o10b2o44bo8$15bo49bo49bo49bo
49bo49bo49bo49bo49bo49bo49bo49bo25$22bo17bo7bo13bo39bo17bo7bo11bobo39b
o17bo7bo13bobo37bo17bo7bo32bo223bo24bo34bo2$20bo19bo9bo9bo3bo35bo19bo
9bo9bo3bo35bo19bo9bo9bo39bo19bo9bo11bo4bo13bo204bo4bo13bo24bo15bo4bo
13bo2$20bo7bobo9bobo7bo9bobobo35bo7bobo9bobo7bo9bobo37bo7bobo9bobo7bo
9bo39bo7bobo9bobo7bo9bo6bobo5bobo3bobo188bobo9bo6bobo5bobo3bobo22bobo
11bo6bobo5bobo3bobo2$20bo5bo3bo9bo3bo5bo3bobo3bo3bo35bo5bo3bo9bo3bo5bo
3bobo3bo3bo35bo5bo3bo9bo3bo5bo3bobo3bo39bo5bo3bo9bo3bo5bo3bobo5bo4bo5b
o3bo3bo3bo184bo3bo3bobo5bo4bo5bo3bo3bo3bo20bo3bo3bobo5bo4bo5bo3bo3bo3b
o2$22bo5bobo5bo3bobo5bo11bo3bo37bo5bobo5bo3bobo5bo11bobo39bo5bobo5bo3b
obo5bo13bobo37bo5bobo5bo3bobo5bo11bo6bo7bobo3bobo5bo182bobo9bo6bo7bobo
3bobo5bo16bobo11bo6bo7bobo3bobo5bo2$34bo79bo79bo79bo10$20bobobo75bobob
o75bobobo75bobobo125bobobo115bobobo55bobobo2$24bo79bo79bo79bo129bo119b
o59bo2$20bobobo75bobobo75bobobo75bobobo125bobobo115bobobo55bobobo2$20b
o79bo79bo79bo133bo115bo59bo2$20bobobo75bobobo75bobobo75bobobo125bobobo
115bobobo55bobobo12$30bo29bo49bo29bo49bo29bo49bo29bo29bo29bo39bo29bo
29bo59bo59b3o27b3o$30b2o28b2o48b2o28b2o48b2o28b2o48b2o28b2o28b2o28b2o
38b2o28b2o28b2o58b2o60b2o28b2o$30bo29bo49bo29bo49bo29bo49bo29bo29bo29b
o39bo29bo29bo59bo58bo4b2o23bo4b2o$31b2o28b2o48b2o28b2o48b2o28b2o48b2o
28b2o28b2o28b2o38b2o28b2o28b2o58b2o57bob3o25bob3o$32bo29bo49bo29bo49bo
29bo49bo29bo29bo29bo39bo29bo29bo59bo60b3o27b3o$30bobo27bobo47bobo27bob
o47bobo27bobo47bobo27bobo27bobo27bobo37bobo27bobo27bobo57bobo62b2o28b
2o$31b5ob2o22b5ob2o42b5ob2o22b5ob2o42b5ob2o22b5ob2o42b5ob2o22b5ob2o22b
5ob2o22b5ob2o32b5ob2o22b5ob2o22b5ob2o52b5ob2o55bo2bo26bo2bo$33bo3b2o
24bo3b2o44bo3b2o24bo3b2o44bo3b2o24bo3b2o44bo3b2o24bo3b2o24bo3b2o24bo3b
2o34bo3b2o24bo3b2o24bo3b2o54bo3b2o52b2obobo24b2obobo$33bo29bo49bo29bo
49bo29bo49bo29bo29bo29bo39bo29bo29bo59bo56bo3bo25bo3bo$36bo29bo49bo29b
o49bo29bo49bo29bo29bo29bo39bo29bo29bo59bo54b2obobo24b2obobo$34b2o28b2o
48b2o28b2o48b2o28b2o48b2o28b2o28b2o28b2o38b2o28b2o28b2o58b2o57b2o2bo
25b2o2bo$34b3o27b3o47b3o27b3o47b3o27b3o47b3o27b3o27b3o27b3o37b3o27b3o
27b3o57b3o57b3o27b3o$35bo29bo49bo29bo49bo29bo49bo29bo29bo29bo39bo29bo
29bo59bo53b2o4bo2b2o19b2o4bo2b2o$35bobo27bobo47bobo27bobo47bobo27bobo
47bobo27bobo27bobo27bobo37bobo27bobo27bobo57bobo51bo2bobo24bo2bobo$36b
2o28b2o48b2o28b2o48b2o28b2o48b2o28b2o28b2o28b2o38b2o28b2o28b2o58b2o56b
o2bobo24bo2bobo$36bobo27bobo47bobo27bobo47bobo27bobo47bobo27bobo27bobo
27bobo37bobo27bobo27bobo57bobo51bo3bo2b2o21bo3bo2b2o$38bo29bo49bo29bo
49bo29bo49bo29bo29bo29bo39bo29bo29bo59bo52b2o4b2o22b2o4b2o$38bo29bo49b
o29bo49bo29bo49bo29bo29bo29bo39bo29bo29bo59bo53bo4bo24bo4bo$33b3o2b2o
23b3o2b2o43b3o2b2o23b3o2b2o43b3o2b2o23b3o2b2o43b3o2b2o23b3o2b2o23b3o2b
2o23b3o2b2o33b3o2b2o23b3o2b2o23b3o2b2o53b3o2b2o49bo3bo25bo3bo$578b2o6b
2o20b2o6b2o$31b2o28b2o48b2o28b2o48b2o28b2o48b2o28b2o28b2o28b2o38b2o28b
2o28b2o58b2o56bo3bo2b3o20bo3bo2b3o$31bo2bo26bo2bo46bo2bo26bo2bo46bo2bo
26bo2bo46bo2bo26bo2bo26bo2bo26bo2bo36bo2bo26bo2bo26bo2bo56bo2bo54bo3b
3obo21bo3b3obo$30b3ob2o24b3ob2o44b3ob2o24b3ob2o44b3ob2o24b3ob2o44b3ob
2o24b3ob2o24b3ob2o24b3ob2o34b3ob2o24b3ob2o24b3ob2o54b3ob2o54b2o2bo2bo
22b2o2bo2bo$30bo3b2o24bo3b2o44bo3b2o24bo3b2o44bo3b2o24bo3b2o44bo3b2o
24bo3b2o24bo3b2o24bo3b2o34bo3b2o24bo3b2o24bo3b2o54bo3b2o59b2o28b2o$29b
3obo2bo22b3obo2bo42b3obo2bo22b3obo2bo42b3obo2bo22b3obo2bo42b3obo2bo22b
3obo2bo22b3obo2bo22b3obo2bo32b3obo2bo22b3obo2bo22b3obo2bo52b3obo2bo58b
obo27bobo$29b2obo26b2obo46b2obo26b2obo46b2obo26b2obo46b2obo26b2obo26b
2obo26b2obo36b2obo26b2obo26b2obo56b2obo63b2o28b2o$29b5o3b2o20b5o3b2o
40b5o3b2o20b5o3b2o40b5o3b2o20b5o3b2o40b5o3b2o20b5o3b2o20b5o3b2o20b5o3b
2o30b5o3b2o20b5o3b2o20b5o3b2o50b5o3b2o59bo29bo$29bo5bo23bo5bo43bo5bo
23bo5bo43bo5bo23bo5bo43bo5bo23bo5bo23bo5bo23bo5bo33bo5bo23bo5bo23bo5bo
53bo5bo58bo3bo25bo3bo$32bo4bo24bo4bo44bo4bo24bo4bo44bo4bo24bo4bo44bo4b
o24bo4bo24bo4bo24bo4bo34bo4bo24bo4bo24bo4bo54bo4bo54b3o27b3o$29bo7bo
21bo7bo41bo7bo21bo7bo41bo7bo21bo7bo41bo7bo21bo7bo21bo7bo21bo7bo31bo7bo
21bo7bo21bo7bo51bo7bo54b3o3bo23b3o3bo$29b2obo5bo20b2obo5bo40b2obo5bo
20b2obo5bo40b2obo5bo20b2obo5bo40b2obo5bo20b2obo5bo20b2obo5bo20b2obo5bo
30b2obo5bo20b2obo5bo20b2obo5bo50b2obo5bo53bo4b2o23bo4b2o$31bo2bo2bo23b
o2bo2bo43bo2bo2bo23bo2bo2bo43bo2bo2bo23bo2bo2bo43bo2bo2bo23bo2bo2bo23b
o2bo2bo23bo2bo2bo33bo2bo2bo23bo2bo2bo23bo2bo2bo53bo2bo2bo$35bo29bo49bo
29bo49bo29bo49bo29bo29bo29bo39bo29bo29bo59bo55b2o28b2o$34b2obo26b2obo
46b2obo26b2obo46b2obo26b2obo46b2obo26b2obo26b2obo26b2obo36b2obo26b2obo
26b2obo56b2obo51bob2o26bob2o$33bo4bo24bo4bo44bo4bo24bo4bo44bo4bo24bo4b
o44bo4bo24bo4bo24bo4bo24bo4bo34bo4bo24bo4bo24bo4bo54bo4bo50bo2bo26bo2b
o$33b2obobo24b2obobo44b2obobo24b2obobo44b2obobo24b2obobo44b2obobo24b2o
bobo24b2obobo24b2obobo34b2obobo24b2obobo24b2obobo54b2obobo51bob2o26bob
2o$33b2o2bo25b2o2bo45b2o2bo25b2o2bo45b2o2bo25b2o2bo45b2o2bo25b2o2bo25b
2o2bo25b2o2bo35b2o2bo25b2o2bo25b2o2bo55b2o2bo54b2o28b2o$34b3o27b3o47b
3o27b3o47b3o27b3o47b3o27b3o27b3o27b3o37b3o27b3o27b3o57b3o55b2o28bo$34b
2o28b2o48b2o28b2o48b2o28b2o48b2o28b2o28b2o28b2o38b2o28b2o28b2o58b2o54b
obo28bo$34b2o28b2o48b2o28b2o48b2o28b2o48b2o28b2o28b2o28b2o38b2o28b2o
28b2o58b2o53bo5b3o21b2obobo$35bobo27bobo47bobo27bobo47bobo27bobo47bobo
27bobo27bobo27bobo37bobo27bobo27bobo57bobo51bo2bo2b2obo22b3o$520b3o5bo
50bo3bob4o22b2obo$35bo2bo26bo2bo46bo2bo26bo2bo46bo2bo26bo2bo46bo2bo26b
o2bo26bo2bo26bo2bo36bo2bo26bo2bo26bo2bo50bob2o2bo2bo54bo2bo27b2o$36b2o
28b2o48b2o28b2o48b2o28b2o48b2o28b2o28b2o28b2o38b2o28b2o28b2o51b4obo3bo
53b2o2bo27b2o2bo$37bo29bo49bo29bo49bo29bo49bo29bo29bo29bo39bo29bo29bo
53bo2bo57b3o30bo2bo$521bo2b2o55b2o34bo$195bo33bo47bo157bo3bo83b3o55b2o
b2o32bo$36bobo27bobo126bo2bo27bo2bo173bo7bo23bo3bo26bobo56b2o57bobo31b
o$37bo29bo47bo3bo25bo3bo44bo3bo27bo3bo45bo6bo75b2o13b2o25b2o9b2o19b3o
3b3o25bo54b2ob2o55bo2b2o31bo$37bo29bo46bobobobo23bobobobo44bo2bo27bo2b
o45bobob2obobo17bo6bo25bo6bo15bo2bo5bo5bo2bo24bobo2b3o2bobo18b2o7b2o
24bo53bobo58b2obob2o$29bo3b2o35b2o3bo38b2o2bo2bo21bo2bo2b2o44b2o31b2o
45b2o2b2o2b2o16bob6obo23bob6obo14bo4b4ob4o4bo25b3ob3ob3o19b3o5b3o16bo
3b2o12b2o3bo38b2o2bo58bo30b2obo$29bo2bob2o33b2obo2bo120b2o29b2o50b2o
20b2o6b2o23b2o6b2o16bo2b2o5b2o2bo28bobo3bobo20b2o7b2o16bo2bob2o10b2obo
2bo36b2obob2o58bo33bo$28bo2bob3o33b3obo2bo40bo2bo23bo2bo48b6o21b6o76b
2o31b2o19b2o4bobobo4b2o26b2o7b2o18b2o4bo4b2o14bo2bob3o3b4o3b3obo2bo39b
o60b2o29bobo$34b2o33b2o46bobo25bobo48b4o25b4o48b2o2b2o21b4o29b4o21b3ob
3ob3o29b2o7b2o18bo4b3o4bo20b2o4b2o4b2o45bo62b3o$33b3o33b3o45bo29bo50b
2o25b2o50b2o2b2o20b2o2b2o27b2o2b2o20b2o7b2o30bo7bo20bo3b3o3bo20bob3obo
2bob3obo43b2o61b3o25b3o$33b2o35b2o46b2o25b2o47bobob2o25b2obobo47b4o
119bobo7bobo51bo3b4o3bo42b3o90b2o2bo$33b2o35b2o47bo25bo49b2o31b2o48bo
2bo118bo13bo50bo3bo2bo3bo43b3o88bo4bo$120bo23bo50b2o3b3o19b3o3b2o47bo
4bo20b2o2b2o27b2o2b2o23b5o31b3o7b3o21bo3bo26b3ob2ob3o105bo6bo26b3o$31b
3o37b3o122b2o2bobo19bobo2b2o48bo4bo20b2o2b2o27b2o2b2o24b3o35bobobobo
24b5o140bobob2obobo24bob3o$30bobo39bobo42bobo25bobo45b2ob2o2bobo19bobo
2b2ob2o45bob2obo19b2o4b2o25b2o4b2o23b3o35bobobobo20bo11bo22b2o6b2o43bo
6bo53b2o2b2o2b2o23bo5bo$29bo4b2o33b2o4bo42bo27bo46b2o2bo29bo2b2o46bo2b
o21bob2obo27bob2obo62bo5bo19b2o4bobo4b2o20bo10bo41bobob2obobo56b2o27bo
3b2o$29bo2bo39bo2bo39b2obo27bob2o44bobo5bo19bo5bobo47bo2bo21b2o2b2o27b
2o2b2o23b2ob2o30b2o2bobobobo2b2o14b2o5bobo5b2o20b2o6b2o42b2o2b2o2b2o
86bo2b2o$30b2o41b2o41b2o29b2o46bobo2b2o21b2o2bobo135b2ob2o30b2o11b2o
19bo2bo2bo81b2o58b2o2b2o27b3o$117bo29bo46bo3bobobo19bobobo3bo41bo14bo
76b3ob3o29b3o9b3o18b3o3b3o140b2o2b2o25b3o$31b2o39b2o40bobo31bobo43b2ob
o4bo19bo4bob2o41b2o4bo2bo4b2o10b2o12b2o17b2o12b2o17b2o3b2o31bo9bo107b
2o2b2o57b4o26b2o$29bo4bo35bo4bo45b2o19b2o48bo2b2o3bo23bo3b2o2bo39bo5b
4o5bo9b3o4bo2bo4b3o15b3o4bo2bo4b3o14b2obo3bob2o29bo9bo107b2o2b2o57bo2b
o25b2o$28bo6bo33bo6bo38bobobobo21bobobobo50bobo19bobo48b2o4b2o4b2o11bo
bo3bo2bo3bobo17bobo3bo2bo3bobo14bo4bobo4bo27b2o9b2o107b4o57bo4bo23b2o$
27bo8bo31bo8bo43bo21bo51b4o2bo21bo2b4o44bo10bo13b2o3bo2bo3b2o19b2o3bo
2bo3b2o16bobobobobobo28bo11bo21b2ob2o81bo2bo57bo4bo22bo2bo$27b2ob4ob2o
31b2ob4ob2o39bo3bo21bo3bo45bob3o29b3obo40bobo10bobo12b2o8b2o21b2o8b2o
14b2o2b2obobob2o2b2o24bobo9bobo18b2obobob2o78bo4bo56bob2obo23bobo$118b
4o21b4o49b2obo25bob2o44b5o4b5o15bo6bo25bo6bo22b2ob2o30bobo9bobo18b2obo
bob2o78bo4bo57bo2bo25b4o$119b2o23b2o52b2ob2o19b2ob2o48bo2b4o2bo14bo2b
8o2bo19bo2b8o2bo17b3o3b3o28b3o9b3o18b2obobob2o78bob2obo57bo2bo27bobo$
29b2o2b2o35b2o2b2o43b3o21b3o52b2o25b2o47bo4b2o4bo13bo3b2o2b2o3bo19bo3b
2o2b2o3bo16b3o5b3o29bo9bo19b3obobob3o78bo2bo92bo$29b2o2b2o35b2o2b2o
124bobo19bobo53bo2bo80bo2bo3bo2bo58bo3b5o3bo77bo2bo52bo14bo19b2ob2o$
202bo19bo56b2o23bo2bo29bo2bo24bo3bo29b2o13b2o161b2o4bo2bo4b2o18bob2o$
31b2o39b2o202b2ob2ob2o19bo4bo27bo4bo21bo7bo28b2obo7bob2o14b2obo9bob2o
69bo14bo46bo5b4o5bo18b2o4bo$30b4o37b4o42b4o23b4o49b3o25b3o76b4o29b4o
22b3o3b3o31bo7bo17bo2bobob3obobo2bo69b2o4bo2bo4b2o47b2o4b2o4b2o23b3o$
29b2o2b2o35b2o2b2o40b6o21b6o46b3o2b3o19b3o2b3o45bo8bo17bo6bo25bo6bo58b
o3bo3bo3bo15b4ob7ob4o69bo5b4o5bo48bo10bo22b3o$29bo4bo35bo4bo39b8o19b8o
46b2o3b2o19b2o3b2o45b3o6b3o14b3o6b3o21b3o6b3o61bobo22b2o9b2o72b2o4b2o
4b2o47bobo10bobo19b2ob4o$31b2o39b2o40b2o6b2o17b2o6b2o43bo2bo29bo2bo43b
o2bo4bo2bo14bobo6bobo21bobo6bobo15b2ob3o3b3ob2o31bobo24b2o5b2o75bo10bo
49b5o4b5o21bob2o$29bo4bo35bo4bo118bo2bo29bo2bo42b2o10b2o15bo6bo25bo6bo
17b2obo2bobo2bob2o29bobobobo104bobo10bobo49bo2b4o2bo24bobo$29bo4bo35bo
4bo118b3o31b3o68b2o10b2o19b2o10b2o19bo3bo33b2obobob2o21b2obobob2o74b5o
4b5o49bo4b2o4bo23bobo$24bo14bo25bo14bo35bo4bo21bo4bo211b2ob2o5b2ob2o
31bobo26bo3bo78bo2b4o2bo55bo2bo28bob3o$23bobo4bo2bo4bobo23bobo4bo2bo4b
obo34b2o2b2o21b2o2b2o212bo11bo28bo3bobo3bo104bo4b2o4bo55b2o29b3o$26bo
3b4o3bo29bo3b4o3bo285b2o3b2o35bobo112bo2bo56b2ob2ob2o27bo$23bo16bo23bo
16bo114b2o29b2o134b2obobob2o31bobo3bobo110b2o92bo$25b2o10b2o27b2o10b2o
37b4o23b4o47b2o31b2o133b2obobob2o31b2o5b2o107b2ob2ob2o53bo8bo26bo$24b
3o10b3o25b3o10b3o36bo2bo23bo2bo216bobobobo30b3o7b3o165b3o6b3o25bo$29bo
4bo35bo4bo40bo4bo21bo4bo44bo2bo31bo2bo134bobo30b2o2b2o5b2o2b2o102bo8bo
51bo2bo4bo2bo26bo$27b2obo2bob2o31b2obo2bob2o39b4o23b4o45bo2bo31bo2bo
131b3o3b3o145b3o6b3o49b2o10b2o22bob2o$27b2o2b2o2b2o31b2o2b2o2b2o38b2o
2b2o21b2o2b2o44bobo33bobo132bo5bo29bo13bo102bo2bo4bo2bo84bo$27b2o6b2o
31b2o6b2o39b4o23b4o211b2o4bo3bo4b2o24bo13bo101b2o10b2o80b5obo$28b2ob2o
b2o33b2ob2ob2o41b2o25b2o215bob3ob3obo27bo13bo194bobobobo$28b2ob2ob2o
33b2ob2ob2o33b3o5b2o5b3o9b3o5b2o5b3o207bobobobobobo237bo3bo$110b3o4bo
2bo4b3o9b3o4bo2bo4b3o38b8o23b8o130bo9bo240b3o$111b2o3bo4bo3b2o11b2o3bo
4bo3b2o38bob6obo21bob6obo127bo13bo$26b3o6b3o29b3o6b3o33bobo8bobo13bobo
8bobo39b3o4b3o21b3o4b3o126bo3bo7bo3bo235bo4bo$25bo3bo4bo3bo27bo3bo4bo
3bo31bo14bo11bo14bo41bo2bo27bo2bo133bo7bo238bo6bo$28bo6bo33bo6bo35bo2b
obo2bobo2bo13bo2bobo2bobo2bo41bo4bo25bo4bo131bo4bo4bo236bo8bo$25b2o10b
2o27b2o10b2o35bo6bo19bo6bo44b2o2b2o25b2o2b2o129bobo3bobo3bobo234b2ob4o
b2o$115bob4obo19bob4obo209b2o3bo5bo3b2o$115bo6bo19bo6bo209b5obo3bob5o$
115b2ob2ob2o19b2ob2ob2o44b2o2b2o25b2o2b2o131b2obobobob2o238b2o2b2o$
116bob2obo21bob2obo217b3o242b2o2b2o$193bo2b2o2bo23bo2b2o2bo135bo$196b
2o29b2o384b2o$114b2o6b2o17b2o6b2o43b6o25b6o381b4o$112b2obo6bob2o13b2ob
o6bob2o458b2o2b2o$112b4o6b4o13b4o6b4o458bo4bo$113bo10bo15bo10bo36bobo
12bobo13bobo12bobo376b2o$188bo2bo10bo2bo13bo2bo10bo2bo374bo4bo$188bo2b
o2b6o2bo2bo13bo2bo2b6o2bo2bo374bo4bo$606bo14bo$190b3o8b3o17b3o8b3o370b
obo4bo2bo4bobo$191bobob4obobo19bobob4obobo374bo3b4o3bo$193bo2b2o2bo23b
o2b2o2bo373bo16bo$193bo6bo23bo6bo375b2o10b2o$194b2o2b2o25b2o2b2o375b3o
10b3o$611bo4bo$194bo4bo25bo4bo378b2obo2bob2o$194b6o25b6o378b2o2b2o2b2o
$193b2ob2ob2o23b2ob2ob2o377b2o6b2o$191bob2o4b2obo19bob2o4b2obo376b2ob
2ob2o$191bob2o4b2obo19bob2o4b2obo376b2ob2ob2o$190b2o10b2o17b2o10b2o2$
608b3o6b3o$607bo3bo4bo3bo$610bo6bo$607b2o10b2o!
Edit: Rework the table to further de-compose the pushalongs into their constituent components.

AforAmpere
Posts: 1080
Joined: July 1st, 2016, 3:58 pm

Re: Spaceship Discussion Thread

Post by AforAmpere » February 18th, 2020, 1:27 am

3c/8 w13 v completed with no ships:

Code: Select all

x = 386, y = 41, rule = B3/S23
12b2o36bo4bo33bo6bo31bo8bo29bo10bo27bo12bo25bo14bo23bo16bo21bo18bo19bo
20bo$11bo2bo34b2o4b2o31bobo4bobo29bobo6bobo28b2o8b2o26bobo10bobo23bobo
12bobo21bobo14bobo19bobo16bobo17bobo18bobo$10b2o2b2o32b2o6b2o29bo3bo2b
o3bo27bo3bo4bo3bo23b3obobo6bobob3o21bo3bo8bo3bo21bo3bo10bo3bo19b2ob2o
12b2ob2o17bo3bo14bo3bo15bo3bo16bo3bo$8bobo4bobo32b6o32b2obo2bob2o28bo
3b2o2b2o3bo22bo2bo3b2o4b2o3bo2bo20bo3b2o6b2o3bo20b2o3bo10bo3b2o20b4o
10b4o19bob3o14b3obo15bob3o16b3obo$7b5o2b5o27b2o2bo4bo2b2o26bo4bo2bo4bo
26b2ob3o2b3ob2o23bo5b2o4b2o5bo21b3ob2o6b2ob3o20b2ob3o10b3ob2o20bo2bo
10bo2bo23b3o10b3o23b3o12b3o$10b2o2b2o30b2o2b2o2b2o2b2o24bobo4bo2bo4bob
o24b2o3b4o3b2o25bo3bobo2bobo3bo24bo14bo25bo12bo24bob2o10b2obo24b2o10b
2o25b2o12b2o$6bob2o2b2o2b2obo25bob2o2b4o2b2obo22b2o2bo2bo4bo2bo2b2o22b
o4b6o4bo22b3o3bob4obo3b3o23bo2bo6bo2bo22bo2bo14bo2bo19b2o2bo10bo2b2o
21b2obo10bob2o21b2obo12bob2o$5bo14bo22bob2ob2o6b2ob2obo19bo3bo12bo3bo
20b2o5b4o5b2o20bobo2b5o2b5o2bobo22bo12bo25bo14bo23bo16bo22bo16bo21bo
18bo$6b2o10b2o26bo12bo22bobo16bobo20b2o2b2obo2bob2o2b2o19b3o3bo10bo3b
3o22b3o6b3o23b3o16b3o21bo3bo6bo3bo23bo4bo6bo4bo21bo4bo8bo4bo$8bo8bo25b
ob2obo3b2o3bob2obo21b2o14b2o25bo3bo2bo3bo22b2o3bo2bo2b2o2bo2bo3b2o21bo
12bo25bo14bo22b3o3bo6bo3b3o25b3o4b3o29b3o6b3o$7bo2b2o2b2o2bo24bo4b3o4b
3o4bo20bobob3o6b3obobo19bo3bo2bo6bo2bo3bo17b2o5b2o6b2o5b2o19b2ob2o8b2o
b2o21b2ob2o10b2ob2o20bo3b2o8b2o3bo23bo12bo26b2ob8ob2o$6bob4o2b4obo22b
2o5bobo2bobo5b2o19bo5bo6bo5bo26bo6bo26bo18bo26bo6bo25bo20bo19bob2o12b
2obo23bo4bo2bo4bo27b2o2bo2bo2b2o$9bobo2bobo25bobo3bo3b2o3bo3bobo17bo4b
o3bo4bo3bo4bo18b2o5b6o5b2o19bo2bo3bo6bo3bo2bo19bo5bo6bo5bo19bo5bo8bo5b
o23bo10bo27bo4bo2bo4bo23bo4b3o4b3o4bo$10bo4bo26bo3bobo3b2o3bobo3bo16b
2o2b4obo6bob4o2b2o18bobo4b4o4bobo20bob2o3bob4obo3b2obo19bo3bobo6bobo3b
o19bobo16bobo25bo6bo33b6o26bobo4b2ob2ob2o4bobo$10bo4bo26bobo6bo2bo6bob
o16b2o6bo8bo6b2o18b3o3bo4bo3b3o20bo3b2obobo2bobob2o3bo24b2o6b2o23b2o3b
2o10b2o3b2o18b2ob2obo6bob2ob2o22b3o10b3o22bo18bo$3bo18bo18b2o5bob2o2b
2obo5b2o59bo2bo2bo4bo2bo2bo19b3o4b4o2b4o4b3o18bobo14bobo22b3o10b3o28bo
6bo27b4o4b2o4b4o23bobo4b2o4bobo$2b3o3bobo4bobo3b3o17bobobo2b2obo2bob2o
2bobobo17bo20bo21bo3bo6bo3bo22b2obob4o2b4obob2o19bobobobobo4bobobobobo
22bobo8bobo27b3o6b3o24bob2o12b2obo22bo5bo2bo5bo$2bo2bo14bo2bo58b2o2b2o
10b2o2b2o20bob3obob2obob3obo20b2o4bob2o2b2obo4b2o17bob2o3b2o6b2o3b2obo
20b5o6b5o26bobo6bobo23b2o5b3o2b3o5b2o26bo4bo$3bobob2o8b2obobo62b3o10b
3o25bob4o2b4obo23bo4bob6obo4bo17b3o5b2o6b2o5b3o17b2o2bobo6bobo2b2o20b
2obo12bob2o19bo2bo3b3o2b3o3bo2bo19b2o2bob2ob2ob2obo2b2o$2b2obo2bo8bo2b
ob2o57bob3o3b8o3b3obo17b3ob2ob2o4b2ob2ob3o24bob6obo23bobo6b6o6bobo16bo
bo4b2o6b2o4bobo17b2ob2ob2o6b2ob2ob2o18bo4bo2bo4bo2bo4bo18bo6bo6bo6bo$
2bo6b2o4b2o6bo58bo2bobo4b2o4bobo2bo18b2o5bobo2bobo5b2o19bobob2o2bo2bo
2b2obobo18bobo18bobo16bo2bo3b2o6b2o3bo2bo18b2o3b3o4b3o3b2o19b2o2bo3bob
2obo3bo2b2o17bo4b2ob8ob2o4bo$5b2o12b2o64bo14bo21bo5b2o6b2o5bo19bo3bo4b
2o4bo3bo22bo2bo8bo2bo20bo8bob2obo8bo18bo2b2o2b6o2b2o2bo22b2o5b2o5b2o
20bo6bo8bo6bo$2b2o4bo2bo2bo2bo4b2o64bob2o2b2obo24bo4bo2bo4bo2bo4bo21bo
14bo21b6obob4obob6o24bo2bo2bo2bo26bob3o8b3obo25bobo6bobo22bo3bobo10bob
o3bo$2b2o4bo8bo4b2o60b2ob4o4b4ob2o20bo3b2obo6bob2o3bo18b4o4b6o4b4o20bo
2b2o3b2o3b2o2bo21bo7bo2bo7bo21b2o6b2o6b2o23b3obo6bob3o20bo3bobo10bobo
3bo$2bo6b3o2b3o6bo59b2o2bo10bo2b2o25b3o4b3o23bo2bo4bo2b2o2bo4bo2bo21b
2o2b6o2b2o22bobo3b2ob4ob2o3bobo20bo5bob2obo5bo20b2o5bob4obo5b2o18bo2bo
5b4o5bo2bo$5bobo3bo2bo3bobo60b3o2b2obo6bob2o2b3o17bob2obo2b2o2b2o2bob
2obo16bo7bo8bo7bo16bobobobo8bobobobo18b3o5bo4bo5b3o17bobo3bobo6bobo3bo
bo17b2ob2o3bo4bo3b2ob2o19b2o2bobob4obobo2b2o$5b4o8b4o60b2o4bobo6bobo4b
2o16bo2b2obo10bob2o2bo23bo3b2o3bo24bob2ob2o2bo2bo2b2ob2obo18b2obob2o8b
2obob2o17bob2o2bo2b2o2b2o2bo2b2obo19bo5b2o2b2o5bo22bo6b4o6bo$5b3ob3o2b
3ob3o59b2o5bobo6bobo5b2o15bo6bo2bo2bo2bo6bo16b3o4bob2o2b2obo4b3o17bo3b
o12bo3bo21bobo4b2o4bobo22b3o4b2o2b2o4b3o18bobobob12obobobo20bobo3bo2bo
3bobo$10b2o2b2o64b3o4bob2o4b2obo4b3o15bo9bo2bo9bo20b2o4b4o4b2o22b3obo
3bo2bo3bob3o21b4o3b4o3b4o23bo4b2o2b2o4bo20bo6bobo4bobo6bo$9b2o4b2o65bo
b4o10b4obo17b2ob2o3bo6bo3b2ob2o18b3ob2obo4bob2ob3o21bob2obobo2bobob2ob
o21b3ob3ob4ob3ob3o18b5o5bo2bo5b5o20bo2bo8bo2bo23b2o14b2o$2b5o2b3o2b3o
2b5o59bobo3bobo2bobo3bobo19bobo2bobo6bobo2bobo18bo3b3o8b3o3bo19bo4b2o
6b2o4bo20b3o3b2o4b2o3b3o19bob2o3bo6bo3b2obo17bo5bo2bob2obo2bo5bo18bob
3o10b3obo$b2obo4bo6bo4bob2o56bo5bob2o4b2obo5bo17b2obo14bob2o18bob2o4bo
4bo4b2obo17b2o2bob2obo4bob2obo2b2o16bo3b2o2bo6bo2b2o3bo17bobo4bobo2bob
o4bobo18bo2b2obo2b4o2bob2o2bo21bob2ob6ob2obo$b2obob2o4b2o4b2obob2o60bo
5b4o5bo21b3obob3o4b3obob3o16b2o7b2o4b2o7b2o14bo2bo2b2o3b4o3b2o2bo2bo
15bo3b16o3bo17bo3b2o2b6o2b2o3bo58bo5bo8bo5bo$2o2bo2b2o2bo2bo2b2o2bo2b
2o55bob3ob4o4b4ob3obo15bo3b2o2b3o4b3o2b2o3bo99bobo10bobo19bo3bo16bo3bo
56bo5bo2b4o2bo5bo$bo2bobo12bobo2bo56b2o7bo4bo7b2o19bo2b2o8b2o2bo99bob
2o2b2ob2o2b2ob2o2b2obo15bo2bo4bo3b2o3bo4bo2bo56bo5bo2bo2bo2bo5bo$2b3ob
2o10b2ob3o96bo4b2o2b3o2b3o2b2o4bo136bo3bobo2bo2bo2bobo3bo57b3ob2obob2o
2b2obob2ob3o$2bobobobobo4bobobobobo96b2obo2bo2b2o4b2o2bo2bob2o142bo2bo
2bo2bo62bobobobobo8bobobobobo$2b3ob2o2b2o2b2o2b2ob3o98b2obo2b2ob4ob2o
2bob2o137b2obo7b2o7bob2o57bobo3bo8bo3bobo$b3o2b2o2b6o2b2o2b3o335bo3b2o
2b4o2b4o2b2o3bo$361bo2bo16bo2bo$361bobo2bo2bo6bo2bo2bobo!
Amazingly only took about 16 hours of CPU time. I am continually impressed by LSSS.
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)

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Entity Valkyrie 2
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Re: Spaceship Discussion Thread

Post by Entity Valkyrie 2 » February 18th, 2020, 7:07 am

Sorry for my noobiness at spaceship searches (I don't use search programs other than apgsearch), by why are spaceship searches done by width?
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

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calcyman
Posts: 2131
Joined: June 1st, 2009, 4:32 pm

Re: Spaceship Discussion Thread

Post by calcyman » February 18th, 2020, 7:49 am

Entity Valkyrie 2 wrote:
February 18th, 2020, 7:07 am
Sorry for my noobiness at spaceship searches (I don't use search programs other than apgsearch), by why are spaceship searches done by width?
It means you can treat spaceships as lists of rows satisfying certain 'local rules' (in the case of the (2, 1)c/6 search, each of these rules only mentions 7 consecutive rows). That allows you to do a tree search (breadth-first, depth-first, or whatever). The reason to bound the width is it means that the number of distinct rows that can appear is bounded (by 2^width), so (provided you memoize rows to avoid getting into a loop) the search will complete after finite time.
What do you do with ill crystallographers? Take them to the mono-clinic!

Sokwe
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Re: Spaceship Discussion Thread

Post by Sokwe » February 18th, 2020, 7:01 pm

Entity Valkyrie 2 wrote:
February 18th, 2020, 7:07 am
Sorry for my noobiness at spaceship searches (I don't use search programs other than apgsearch), by why are spaceship searches done by width?
Calcyman gave one good reason, but there is another. It seems that these long, thin searches are generally the most effective. That is, you can get long partial results much faster and at much lower search widths when the direction of travel is parallel to the length of the ship.
-Matthias Merzenich

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