Spaceship Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Sokwe
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Re: Spaceship Discussion Thread

Post by Sokwe » April 11th, 2018, 2:13 am

wildmyron wrote:Here's a non-monotonic frontend for a 2c/5 spaceship.
This could be interesting. I'm not aware of any non-monotonic 2c/5 ships, although I haven't really been looking, so there might already be something known.
Billabob wrote:I've spent the last month or so using ntzfind to search for low-width high-period ships
What version of ntzfind did you use?
-Matthias Merzenich

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Billabob
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Re: Spaceship Discussion Thread

Post by Billabob » April 11th, 2018, 5:22 am

wildmyron wrote:That's a nice set of results, a shame they're all negative, but not too surprising. A few of them are duplicates of earlier results posted here, but it's good to have a summary of these higher period results in one place. Some of the previous results: 5c/11, w10; 3c/13, w7
Thanks. The duplicate results are probably not duplicate results, I just forgot to remove them before posting the list. Before running any searches I made a list in Excel of known spaceship speeds/widths, using the wiki's Status Page and this thread. When I posted the list I just copy-pasted from Excel into the reply box and re-formatted.
Sokwe wrote:What version of ntzfind did you use?
I used rokicki's updated version.
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Bullet51
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Re: Spaceship Discussion Thread

Post by Bullet51 » April 11th, 2018, 9:09 am

Finished 1/2:

Code: Select all

x = 119, y = 41, rule = B3/S23
14b2o$13bo2bo$12bobo3bo$11b2o2bo3b2o$12b2o4b2obo3b2o47bo12bo$19bo3bob
2o13b2o9b2o2b2o16b2o12b3o3b2o23bo$18bo4b3obo10b2ob2o8bobo2b2o14bob3o8b
3o2bobobo5b2obobo11b2o$17b3o3bob5ob2o4bob2o2b2o6bobo5bo11b2ob5o5b2obo
4bob2o3bo5bo11bo$13b3obobo2bo6b4obobo3bo2b4o5bob2o4bo14bo3bo3bo3bo2bob
o5bob2o3bo2bo9bo$14bo8b4o7bobob3o3bo2bo5b2o3bo6bobobob2o4bo6b2obobo2bo
3b2obo2b2o4bo7b3o$9bobobo10b2o15bo5b2o5b4o6b4obo5bobob2o12b2o4bobo5b2o
2bobo2b3o$3bo2b4o19b2ob2o2bo3bo3bobo7bo9bob2obob3obobo3b2obo9b4o3bo6bo
4b2o$2bo3b3o20bo2bobo6b2o10bo5b5o5bobob2obo2b2obo14b3o3bo3b2obo2bo4bo$
b2o26b3obo2bo2b11o2bo3b2ob5obobobobobo4b2o4bo16bo3bo4bo3b2obo$6bo29b2o
bobo2bo5b2o5bo9bobobobo5b3o19bo2b3o7b2obo$o2bob5o33bo5bo9bo3bo8b2obo3b
3o20bo3bo$bo4bo3bo33bo2b2o2bob2ob2o17bo3b2o23b3o9b2o$2b3obo38b4o3bo4bo
16bobo27b3o11bo$2bo43b2o27bo$3bobob2o2b2o$4bo2bo$5b6o$9b2o$9b3o$12bo2b
2o$12b5o2$14b2o4b2o$14b3o3b4o$13bo3bo2bob2ob2o$14bo2bo3bo4bo8b3o5b3o
10bob2o$14bo2bo3bo13b2o5b4o8bo3b2o5bobo$21b2o11bo2b3ob2o8b2obo3b2obob
3o2bo$21bo4bo2b2o4bo7bo6bo3bobo4bob2o3bo3b2o$21b4ob4obo11b3o3b2ob2o5b
2o3b2ob3obo2bo$22b2ob2o4b2ob2o3b2o3bobobob2obo7bo6bobo$31bo3b3o7b2ob3o
b2o11b3obo4bo$27bo5b2o12bob2o2bo11bo3bo3bo$33b2o11b3o18bo4bo$47bob2ob
2o13bob2o$48bo!
Still drifting.

AforAmpere
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Re: Spaceship Discussion Thread

Post by AforAmpere » April 12th, 2018, 6:51 am

I was about 1.8 million seconds into the C/8 w10 u search when my computer randomly shut down while I was asleep. The final partial was this:

Code: Select all

.......o...o.......
.......o...o.......
.......o...o.......
...................
.......o...o.......
.....oooo.oooo.....
.....o.......o.....
....oo.oo.oo.oo....
...oo..o.o.o..oo...
...oo...ooo...oo...
..oooooo...oooooo..
...................
...................
...................
...ooo.......ooo...
...................
...o..o.....o..o...
......o.....o......
...ooo.......ooo...
...o....ooo....o...
...................
.o.ooo...o...ooo.o.
How do I use the dump feature to help stop that problem? Do I need to use a different ntzfind than rokicki's?
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

Sokwe
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Re: Spaceship Discussion Thread

Post by Sokwe » April 12th, 2018, 9:14 pm

AforAmpere wrote:I was about 1.8 million seconds into the C/8 w10 u search when my computer randomly shut down while I was asleep. How do I use the dump feature to help stop that problem? Do I need to use a different ntzfind than rokicki's?
Yes. Currently, Tom's version doesn't have the dump feature. It probably wouldn't be too difficult to add it back in, but I don't have the time right now.
-Matthias Merzenich

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Saka
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Re: Spaceship Discussion Thread

Post by Saka » April 12th, 2018, 11:05 pm

A p15 c/3o tail. Can it be used as a tagalong?

Code: Select all

x = 5, y = 5, rule = B3/S23
4bo$3o$obo$3o$4bo!

wildmyron
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Re: Spaceship Discussion Thread

Post by wildmyron » April 13th, 2018, 12:19 am

Bullet51 wrote:Finished 1/2:

Code: Select all

<snip rle>
Nice work, you've also persisted with the top part a lot longer than I had.
Saka wrote:A p15 c/3o tail. Can it be used as a tagalong?

Code: Select all

x = 5, y = 5, rule = B3/S23
4bo$3o$obo$3o$4bo!
Cute. It can't be supported by a p3 c/3 because the dots would interfere with the pre-TL evolution, so you'd need a p15 ship with appropriate sparks.
The 5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by AforAmpere. The latest collection is hosted on GitHub and contains well over 1,000,000 spaceships.

Semi-active here - recovering from a severe case of LWTDS.

Sokwe
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Re: Spaceship Discussion Thread

Post by Sokwe » April 13th, 2018, 12:44 am

Bullet51 wrote:Finished 1/2
Here's a completion of the other side:

Code: Select all

x = 134, y = 41, rule = B3/S23
14b2o$13bo2bo$12bobo3bo$11b2o2bo3b2o$12b2o4b2obo3b2o47bo12bo$19bo3bob
2o13b2o9b2o2b2o16b2o12b3o3b2o19b2o$18bo4b3obo10b2ob2o8bobo2b2o14bob3o
8b3o2bobobo5b2obobo7b3o$17b3o3bob5ob2o4bob2o2b2o6bobo5bo11b2ob5o5b2obo
4bob2o3bo5bo6b2o10bo$13b3obobo2bo6b4obobo3bo2b4o5bob2o4bo14bo3bo3bo3bo
2bobo5bob2o3bo2bo6bo6b2o3b3o$14bo8b4o7bobob3o3bo2bo5b2o3bo6bobobob2o4b
o6b2obobo2bo3b2obo2b2o4bo2bo3b2o5b2o3b5o$9bobobo10b2o15bo5b2o5b4o6b4ob
o5bobob2o12b2o4bobo5b2o7bo5b2obo4b2o$3bo2b4o19b2ob2o2bo3bo3bobo7bo9bob
2obob3obobo3b2obo9b4o3bo6bo3bo2b2o5bo7b2obo$2bo3b3o20bo2bobo6b2o10bo5b
5o5bobob2obo2b2obo14b3o3bo3b2obo3bo6b3o6bo$b2o26b3obo2bo2b11o2bo3b2ob
5obobobobobo4b2o4bo16bo3bo4bo3bo6bo3bo4bobo$6bo29b2obobo2bo5b2o5bo9bob
obobo5b3o19bo2b3o8bo4b2obo3b4o$o2bob5o33bo5bo9bo3bo8b2obo3b3o20bo3bo9b
2o2bo4bo$bo4bo3bo33bo2b2o2bob2ob2o17bo3b2o23b3o13bo3bo$2b3obo38b4o3bo
4bo16bobo27b3o14b2o$2bo43b2o27bo$3bobob2o2b2o$4bo2bo$5b6o$9b2o$9b3o$
12bo2b2o$12b5o2$14b2o4b2o$14b3o3b4o$13bo3bo2bob2ob2o$14bo2bo3bo4bo8b3o
5b3o10bob2o$14bo2bo3bo13b2o5b4o8bo3b2o5bobo$21b2o11bo2b3ob2o8b2obo3b2o
bob3o2bo$21bo4bo2b2o4bo7bo6bo3bobo4bob2o3bo3b2o$21b4ob4obo11b3o3b2ob2o
5b2o3b2ob3obo2bo$22b2ob2o4b2ob2o3b2o3bobobob2obo7bo6bobo$31bo3b3o7b2ob
3ob2o11b3obo4bo$27bo5b2o12bob2o2bo11bo3bo3bo$33b2o11b3o18bo4bo$47bob2o
b2o13bob2o$48bo!
I'm sure it's much bigger than it needs to be.
-Matthias Merzenich

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Saka
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Re: Spaceship Discussion Thread

Post by Saka » April 13th, 2018, 1:43 am

wildmyron wrote: Cute. It can't be supported by a p3 c/3 because the dots would interfere with the pre-TL evolution, so you'd need a p15 ship with appropriate sparks.
Yes, but I don't know if p15 c/3 ships even exist. Where can I find them?

Sokwe
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Re: Spaceship Discussion Thread

Post by Sokwe » April 13th, 2018, 2:25 am

Saka wrote:I don't know if p15 c/3 ships even exist. Where can I find them?
The first post in this thread contains a link to a post with my moving object collection. It contains pretty much every interesting moving except for large constructed patterns like caterpillars, half-baked ships, etc.

Edit: For your specific question, look in velocity-c3/ships-c3-hp.rle and in the c3-extended collection.

Edit 2: smaller stabilization of the non-monotonic 2c/5 ship:

Code: Select all

x = 80, y = 41, rule = B3/S23
14b2o$13bo2bo$12bobo3bo$11b2o2bo3b2o$12b2o4b2obo3b2o$19bo3bob2o13b2o9b
2o2b2o$18bo4b3obo10b2ob2o8bobo2b2o6b2o3bo4b3o$17b3o3bob5ob2o4bob2o2b2o
6bobo5bo3b2obo2b3o2bo2b3o$13b3obobo2bo6b4obobo3bo2b4o5bob2o4bo3bob2obo
4b5o$14bo8b4o7bobob3o3bo2bo5b2o3bo9b2o6bobo$9bobobo10b2o15bo5b2o5b4o6b
o2b3o2b2o3bo$3bo2b4o19b2ob2o2bo3bo3bobo7bo9bo3bo2b2o$2bo3b3o20bo2bobo
6b2o10bo5b5o3bo4bo$b2o26b3obo2bo2b11o2bo3b2ob5o9bo$6bo29b2obobo2bo5b2o
5bo8bo$o2bob5o33bo5bo9bo3bobo$bo4bo3bo33bo2b2o2bob2ob2o$2b3obo38b4o3bo
4bo$2bo43b2o$3bobob2o2b2o$4bo2bo$5b6o$9b2o$9b3o$12bo2b2o$12b5o2$14b2o
4b2o$14b3o3b4o$13bo3bo2bob2ob2o$14bo2bo3bo4bo8b3o5b3o10bob2o$14bo2bo3b
o13b2o5b4o8bo3b2o5bobo$21b2o11bo2b3ob2o8b2obo3b2obob3o2bo$21bo4bo2b2o
4bo7bo6bo3bobo4bob2o3bo3b2o$21b4ob4obo11b3o3b2ob2o5b2o3b2ob3obo2bo$22b
2ob2o4b2ob2o3b2o3bobobob2obo7bo6bobo$31bo3b3o7b2ob3ob2o11b3obo4bo$27bo
5b2o12bob2o2bo11bo3bo3bo$33b2o11b3o18bo4bo$47bob2ob2o13bob2o$48bo!
Edit 2: Here are two known 2c/5 tagalong attachments that should have been included in the small ships collection, but weren't for some reason:

Code: Select all

x = 28, y = 67, rule = B3/S23
8bo$6b2o3bo$6b2o2bo8bo$6b4obo3b2o2bo$14bo3bo$14bobo$8bo4b2obo$8b2o4b2o
$7bo5bo$11bob3o$5b2o$5bo$5b2o3bo$7bo2bo$8b2o2$5b2o$4b6o$3bo3bo$3bo4b2o
$3bo2bo2$5b2o$5bo2$b2obo$ob2obo$o3bo$ob2o$b2obo$4bobo$4bobo14$7b3o$6bo
$9bo14bo$4b2o16b2o3bo$2b2o18b2o2bo$b2ob5o13b4obo$o7bo4bo$b3o2b2obo3b2o
$2b2o2bo4bo3bo$11b2o2bo5b3o$15bo3b2o$15bo5bo$11b2o2bo$2b2o2bo4bo3bo$b
3o2b2obo3b2o$o7bo4bo$b2ob5o$2b2o$4b2o$9bo$6bo$7b3o!
Edit 2: further reduction of the non-monotonic 2c/5:

Code: Select all

x = 75, y = 98, rule = B3/S23
41b2o2b2o$40b2o$41bob2o$37bo6bo$37bo$36bo6bo$37b2obobo$14b2o21b2o5bobo
$13bo2bo22b8o$12bobo3bo$11b2o2bo3b4o16b8o$12b2o4b2o2b2obo2bo4bo3b2o5bo
bo$19bo2bob2o4bo3bo2b2obobo$20b2ob2o5b2o2b3o6bo$17bo3b2o6bo2bo4bo$13b
3ob3o2bob2o3b2ob3o2bo6bo$14bo4bo4bobo2b2ob2o7bob2o$9bobobo7bo2bob2o12b
2o$3bo2b4o12b2ob3o13b2o2b2o$2bo3b3o15b2o$b2o21b2o$6bo$o2bob5o$bo4bo3bo
$2b3obo$2bo$3bobob2o2b2o$4bo2bo$5b6o$9b2o$9b3o$12bo2b2o$12b5o2$14b2o4b
2o$14b3o3b4o$13bo3bo2bob2ob2o$14bo2bo3bo4bo8b3o5b3o10bob2o$14bo2bo3bo
13b2o5b4o8bo3b2o5bobo$21b2o11bo2b3ob2o8b2obo3b2obob3o2bo$21bo4bo2b2o4b
o7bo6bo3bobo4bob2o3bo3b2o$21b4ob4obo11b3o3b2ob2o5b2o3b2ob3obo2bo$22b2o
b2o4b2ob2o3b2o3bobobob2obo7bo6bobo$31bo3b3o7b2ob3ob2o11b3obo4bo$27bo5b
2o12bob2o2bo11bo3bo3bo$33b2o11b3o18bo4bo$47bob2ob2o13bob2o$48bo10$14b
2o$13bo2bo24b2o2b2o$12bobo3bo21b2o$11b2o2bo3b4o18bob2o$12b2o4b2o2b2obo
2bo4bo3bo6bo$19bo2bob2o4bo3bo2bo$20b2ob2o5b2o2b3o6bo$17bo3b2o6bo2bo4b
2obobo$13b3ob3o2bob2o3b2ob3o2b2o5bobo$14bo4bo4bobo2b2ob2o5b8o$9bobobo
7bo2bob2o$3bo2b4o12b2ob3o11b8o$2bo3b3o15b2o11b2o5bobo$b2o21b2o11b2obob
o$6bo29bo6bo$o2bob5o27bo$bo4bo3bo26bo6bo$2b3obo34bob2o$2bo37b2o$3bobob
2o2b2o28b2o2b2o$4bo2bo$5b6o$9b2o$9b3o$12bo2b2o$12b5o2$14b2o4b2o$14b3o
3b4o$13bo3bo2bob2ob2o$14bo2bo3bo4bo8b3o5b3o10bob2o$14bo2bo3bo13b2o5b4o
8bo3b2o5bobo$21b2o11bo2b3ob2o8b2obo3b2obob3o2bo$21bo4bo2b2o4bo7bo6bo3b
obo4bob2o3bo3b2o$21b4ob4obo11b3o3b2ob2o5b2o3b2ob3obo2bo$22b2ob2o4b2ob
2o3b2o3bobobob2obo7bo6bobo$31bo3b3o7b2ob3ob2o11b3obo4bo$27bo5b2o12bob
2o2bo11bo3bo3bo$33b2o11b3o18bo4bo$47bob2ob2o13bob2o$48bo!
I found a partial result using gfind, and recognized a component from a small symmetric spaceship.
-Matthias Merzenich

wildmyron
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Re: Spaceship Discussion Thread

Post by wildmyron » April 19th, 2018, 12:19 am

@Sokwe: Thank you for completing the non-monotonic 2c/5 ship, and nice work on the reductions.
The 5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by AforAmpere. The latest collection is hosted on GitHub and contains well over 1,000,000 spaceships.

Semi-active here - recovering from a severe case of LWTDS.

Sokwe
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Re: Spaceship Discussion Thread

Post by Sokwe » April 20th, 2018, 3:13 am

Fairly boring p18, p24, and p30 c/3 orthogonal ships:

Code: Select all

x = 166, y = 76, rule = B3/S23
22b2o58b2o58b2o$18b3ob2ob3o50b3ob2ob3o50b3ob2ob3o$17bo10bo48bo10bo48bo
10bo$18bob2o2b2obo50bob2o2b2obo50bob2o2b2obo$22b2o58b2o58b2o$19bo2b2o
2bo52bo2b2o2bo52bo2b2o2bo$19bob4obo52bob4obo52bob4obo$17bob2o4b2obo48b
ob2o4b2obo48bob2o4b2obo$16b2ob3o2b3ob2o46b2ob3o2b3ob2o46b2ob3o2b3ob2o$
15bo2bo3b2o3bo2bo44bo2bo3b2o3bo2bo44bo2bo3b2o3bo2bo$19bo6bo52bo6bo52bo
6bo$18bo3b2o3bo50bo3b2o3bo50bo3b2o3bo$19bo6bo52bo6bo52bo6bo2$18b2o6b2o
50b2o6b2o50b2o6b2o$17bo2bo4bo2bo48bo2bo4bo2bo48bo2bo4bo2bo$17bo10bo48b
o10bo48bo10bo$15bo14bo44bo14bo44bo14bo$15bo14bo44bo14bo44bo14bo$17bob
2o4b2obo48bob2o4b2obo48bob2o4b2obo$19b2o4b2o52b2o4b2o52b2o4b2o$18bobo
4bobo50bobo4bobo50bobo4bobo$16b2o10b2o46b2o10b2o46b2o10b2o$17b3o6b3o
48b3o6b3o48b3o6b3o$17bo2b2o2b2o2bo48bo2b2o2b2o2bo48bo2b2o2b2o2bo$19b2o
4b2o52b2o4b2o52b2o4b2o$18bobo4bobo50bobo4bobo50bobo4bobo2$15bo2b2o6b2o
2bo44bo2b2o6b2o2bo44bo2b2o6b2o2bo$15b5o6b5o44b5o6b5o44b5o6b5o$15bo4b2o
2b2o4bo44bo4b2o2b2o4bo44bo4b2o2b2o4bo$15bo14bo44bo14bo44bo14bo$14b2o5b
o2bo5b2o42b2o5bo2bo5b2o42b2o5bo2bo5b2o$14b2obo10bob2o42b2obo10bob2o42b
2obo10bob2o$16bo12bo46bo12bo46bo12bo$16bo12bo46bo12bo46bo12bo$16b2o4b
2o4b2o46b2o4b2o4b2o46b2o4b2o4b2o$17b2o8b2o48b2o8b2o48b2o8b2o2$17bo10bo
48bo10bo48bo10bo$18b10o50b10o50b10o$b3o9b3o14b3o9b3o17bo11bo$bobo9bobo
14bobo9bobo16bobo9bobo$o3b2o5b2o3bo12bo3b2o5b2o3bo14b2obo9bob2o13bo11b
o20bo11bo14bo11bo$o15bo12bo15bo14b2o2bo7bo2b2o12bobo9bobo18bobo9bobo
12bobo9bobo$o5bo3bo5bo12bo5bo3bo5bo13b3o3bo5bo3b3o10b2obo9bob2o16b2obo
9bob2o10b2obo9bob2o$bob3ob3ob3obo14bob3ob3ob3obo15b2o2b9o2b2o11b2o2bo
7bo2b2o16b2o2bo7bo2b2o2b2o2b2o2b2o2bo7bo2b2o$b2o11b2o14b2o11b2o15b2ob
11ob2o10b3o3bo5bo3b3o14b3o3bo5bo3b3o8b3o3bo5bo3b3o$2b2o9b2o16b2o9b2o
17bo6bo6bo12b2o2b9o2b2o16b2o2b9o2b2o10b2o2b9o2b2o$61b3o9b3o12b2ob11ob
2o16b2ob11ob2o10b2ob11ob2o$3bobo5bobo18bobo5bobo19b3o7b3o7bo6bo6bo6bo
18bo6bo6bo12bo6bo6bo$3bobo5bobo18bobo5bobo46b3o9b3o18b3o9b3o12b3o9b3o$
3bo4bo4bo18bo4bo4bo19b2o9b2o15b3o7b3o20b3o7b3o14b3o7b3o$5bobobobo22bob
obobo25bobobo$4b2obobob2o20b2obobob2o23bobobobo18b2o9b2o20b2o9b2o14b2o
9b2o$4bo2bobo2bo20bo2bobo2bo22b2obobob2o21bobobo28bobobo22bobobo$3bob
2o3b2obo18bob2o3b2obo20bo3bobo3bo19bobobobo26bobobobo20bobobobo$4b3o3b
3o20b3o3b3o21bo3bobo3bo18b2obobob2o24b2obobob2o18b2obobob2o$3b2o7b2o
18b2o7b2o23bo3bo20bo3bobo3bo22bo3bobo3bo16bo3bobo3bo$3b2obo3bob2o18b2o
bo3bob2o23bo3bo20bo3bobo3bo22bo3bobo3bo16bo3bobo3bo$bo4b2ob2o4bo14bo4b
2ob2o4bo17b3ob2ob2ob3o19bo3bo28bo3bo22bo3bo$bo4b2ob2o4bo14bo4b2ob2o4bo
17bo11bo19bo3bo28bo3bo22bo3bo$bo2bo7bo2bo14bo2bo7bo2bo15b3o2b3ob3o2b3o
13b3ob2ob2ob3o20b3ob2ob2ob3o14b3ob2ob2ob3o$3b5ob5o18b5ob5o19b3o7b3o15b
o11bo20bo11bo14bo11bo$4bo7bo20bo7bo21bo2bo3bo2bo14b3o2b3ob3o2b3o16b3o
2b3ob3o2b3o10b3o2b3ob3o2b3o$2b3o2bobo2b3o16b3o2bobo2b3o18bo4bobo4bo15b
3o7b3o20b3o7b3o14b3o7b3o$bo5bobo5bo14bo5bobo5bo17b3o7b3o16bo2bo3bo2bo
22bo2bo3bo2bo16bo2bo3bo2bo$bo13bo14bo13bo16bobo9bobo14bo4bobo4bo20bo4b
obo4bo14bo4bobo4bo$2bob2o5b2obo16bob2o5b2obo17b2o11b2o14b3o7b3o20b3o7b
3o14b3o7b3o$2b2o9b2o16b2o9b2o17b2obo7bob2o13bobo9bobo18bobo9bobo12bobo
9bobo$2bo11bo16bo11bo17b2obo7bob2o13b2o11b2o18b2o11b2o12b2o11b2o$bobo
9bobo14bobo9bobo16bo13bo13b2obo7bob2o18b2obo7bob2o12b2obo7bob2o$62bo
11bo14b2obo7bob2o18b2obo7bob2o12b2obo7bob2o$b2o11b2o14b2o11b2o16bo13bo
13bo13bo18bo13bo12bo13bo$90bo11bo20bo11bo14bo11bo$89bo13bo18bo13bo12bo
13bo!
They're based on a period-6 ship found by Tim Coe (Apr 2016) that is closely related to a period-78 puffer by Josh Ball (Sep 2011):

Code: Select all

x = 67, y = 46, rule = B3/S23
8b2o29b3o17b3o$4b3ob2ob3o28bo15bo$3bo10bo27b3o11b3o$4bob2o2b2obo21b2ob
3obobo11bobob3ob2o$8b2o25b2o3bo4bo9bo4bo3b2o$5bo2b2o2bo21bo2bo6bo11bo
6bo2bo$5bob4obo$3bob2o4b2obo26b2obo11bob2o$2b2ob3o2b3ob2o19b2o4b2ob2o
9b2ob2o4b2o$bo2bo3b2o3bo2bo18b2ob2o6b2o5b2o6b2ob2o$5bo6bo21bo3b2o6bo7b
o6b2o3bo$4bo3b2o3bo24b2o7bo5bo7b2o$5bo6bo33bo7bo2$4b2o6b2o32b2o5b2o$3b
o2bo4bo2bo30bo2bo3bo2bo$3bo10bo30bo9bo$bo14bo26bo13bo$bo14bo26bo13bo$
3bob2o4b2obo30bob2o3b2obo$5b2o4b2o34b2o3b2o$4bobo4bobo32bobo3bobo$2b2o
10b2o28b2o9b2o$3b3o6b3o30b3o5b3o$3bo2b2o2b2o2bo30bo2b2ob2o2bo$5b2o4b2o
34b2o3b2o$4bobo4bobo32bobo3bobo2$bo2b2o6b2o2bo26bo2b2o5b2o2bo$b5o6b5o
26b5o5b5o$bo4b2o2b2o4bo26bo4b2ob2o4bo$bo14bo26bo13bo$2o5bo2bo5b2o24b2o
5bobo5b2o$2obo10bob2o24b2obo9bob2o$2bo12bo28bo11bo$2bo12bo28bo11bo$2b
2o4b2o4b2o28b2o4bo4b2o$3b2o8b2o30b2o7b2o2$3bo10bo30bo9bo$4b10o32b9o2$
8b2o$7b4o$6bo4bo$6bo4bo!
-Matthias Merzenich

Sokwe
Moderator
Posts: 2880
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » April 24th, 2018, 10:01 pm

A new 71-cell 2c/5 ship based on Paul Tooke's 30-cell ship:

Code: Select all

x = 25, y = 17, rule = B3/S23
16b2o2bobo$15b2o3b2o$16b2o4bo$19b2o$12bo2b2o3bo$6bo4bob3o5bo$5bobo5b2o
6bo$4bo3b4o5b2obob3o$5bob3obo6bo2b2o$6b2o11bob2o$19bobo$2b2obo$bobo2bo
$2o3bo$bobobo$2b2ob2o$5bo!
It can be followed by a known tagalong, giving four new 88-cell ships:

Code: Select all

x = 148, y = 22, rule = B3/S23
143bo2b2o$16bobo123bob2o$15bo4bo32b2o2bobo9bo22b2o2bobo4bo38bo2bo$15bo
4bob2o28b2o3b2o6b2o2bo21b2o3b2o3b3o37bo2bo$15b2o3bo32b2o4bo4bo3bo23b2o
4bo2b2o40bo$56b2o6bobo28b2o7bo26b2o2bobo2b2o$15b5o29bo2b2o3bo5b2obo21b
o2b2o3bo5bo2bo24b2o3b2o3b3o$6bo3b3ob2ob3o23bo4bob3o5bo5b2o16bo4bob3o5b
o5bo2bo24b2o4bo4bo$4b2o5b2o3bob2o2bo19bobo5b2o6bo4bo17bobo5b2o6bo5bob
2o27b2o$4b2o2b3o5b2obo2bo18bo3b4o5b2obob3ob3o14bo3b4o5b2obob3o3bo2b2o
18bo2b2o3bo$4b4o2bo11bo19bob3obo6bo2b2o21bob3obo6bo2b2o22bo4bob3o5bo$
18b3o4bo17b2o11bob2o22b2o11bob2o21bobo5b2o6bo$19b2o35bobo36bobo21bo3b
4o5b2obob3o$b2obo18b2obo12b2obo35b2obo38bob3obo6bo2b2o$ob2obo18bobo11b
obo2bo33bobo2bo38b2o11bob2o$o3bo19bo3bo8b2o3bo33b2o3bo52bobo$ob2o21bo
3bo8bobobo34bobobo35b2obo$b2obo20b2o12b2ob2o34b2ob2o33bobo2bo$4bobo20b
o2bo11bo38bo33b2o3bo$4bobo21b2o86bobobo$117b2ob2o$120bo!
-Matthias Merzenich

Sokwe
Moderator
Posts: 2880
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » May 1st, 2018, 1:22 am

I found a small c/3 tagalong that gives two new 50-cell ships:

Code: Select all

x = 38, y = 16, rule = B3/S23
5bo21bo$4bobo19bobo$4bobo19bobo6bobo$4bo6bo2b2o10bo6bo2bo$8b2obo2bo15b
2obo2b2o$3b2o8bobo9b2o$b7o15b7o$o21bo$obo3b3o13bobo3b3o$o5bo15bo5bo$bo
5b4o12bo5b4o$bobo4bo14bobo4bo$2bo5b2o14bo5b2o$b2o6bo13b2o6bo$2bobo5bo
13bobo5bo$3bo21bo!
I then noticed that the connection area could be found in two smaller ships. I tried the tagalong on these ships, but it only worked for one of them, giving two new 49-cell ships:

Code: Select all

x = 32, y = 19, rule = B3/S23
6bo18bo$5bobo16bobo$5b2o17b2o$5bo18bo$6bo18bo$4b2ob2o14b2ob2o$4bo2b3o
13bo2b3o$3b2o17b2o$2bo5bo12bo5bo$2b4o2bo12b4o2bo$o6bo11bo6bo$5o14b5o$o
18bo9bobo$bo3b2obo2b2o7bo3b2obo2bo$bo6bo2bo8bo6bo2b2o$3bo6bobo9bo$b2o
17b2o$b2o17b2o$3bo18bo!
Surprisingly, however, the other ship can still support the tagalong, but in a slightly different location, giving two new 47-cell ships:

Code: Select all

x = 36, y = 23, rule = B3/S23
3bo20bo$2bobo18bobo$bo2bo17bo2bo$2bo20bo$3b2o19b2o2$5bo6bobo11bo$2bo7b
o2bo9bo7bo2b2o$bobob2obobo2b2o7bobob2obobo2bo$2o19b2o10bobo$bo2bo2bo
14bo2bo2bo$b2o19b2o$2bo3bo16bo3bo$3bo2bo17bo2bo$5bo20bo$5b2o19b2o2$7b
3o18b3o$7b3o18b3o2$6b2o19b2o$6b2o19b2o$8bo20bo!
Here is the updated small c/3 ships collection:

Code: Select all

#C All known c/3 ships up to 50 bits.
#C Spaceships found by Dean Hickerson, Stephen Silver, Jason Summers,
#C David Bell, David Eppstein, and Matthias Merzenich.
x = 799, y = 462, rule = B3/S23
225bo14bo11bo16bo13bo$210bo13bobo11b2o11bobo13b2o13bobo$199bo9bobo12bo
bo11b2o11bobo13b2o13bobo$198bobo7bo2bo12bo15bo10bo17bo12bo$183bo13b2o
10bo28bo28bo$24bo12bo142bob2o14bo11b2o11b2o12b3o10b2o14b3o12b2o$23bobo
10bobo140bo2bo14bobo24bobo10bo13bobo12bo15bobo$23bobo9b2o141bo3bo14bo
14bo11b2o10b2o13b2o12b2o15b2o$obobo3bobobo10bo12bobo111bo3bo3bobobo15b
o4bo14bo10bo15bo11bo14bo13bo16bo$22b2o12b2o139b3o3bo11bo2bo9bobob2o12b
o2bo8bo2bo11bo2bo10bo2bo13bo2bo$4bo3bo13bobo14bo110bo3bo3bo3bo17b2obo
11b3obo7b2o6bo26bo28bo16bo$35bo2bo135b4o5b2o10bo12bo2bo2bo8bo2bob2o9b
2o13b2o12b2o15b2o$obobo3bobobo8b3o10bo115bobobo3bo3bo10bo10bo11b4o8b2o
13bo2bo13bobo12bo12bobo15bo$21bobo9b2o136b2o21bo14bo3bo9bo2bo13b2o12bo
bo10b2o17b3o$o11bo9bobo8bobo118bo3bo3bo8b3o19bo4b2o10bo2bo10b3o16bo10b
o13bo18bobo$21b2o9b2o158b2o2b2o14bo26bo2bo10bo15bo2bo18bo$obobo3bobobo
141bo3bobobo9bobo17bobo3bo13b2o10bo2bo10bo14bobo17bo14bo3bo$22bo10bo
138b2o17b2o31bobo10b2o14bobo14b2o17b2o$22bobo8bobo137bo40b3o7bo13bo15b
4o13bo18bo$22bobo8bobo137bobo16bo21b3o8bo12b3o15bobo12b3o16b3o$23bo10b
o138bobo16bobo30bobo11bo16bobo13bo18bo$174bo17bobo18b2o11bo14bo13bo18b
o18bo$193bo19b2o10b2o12b2o14b2o15b2o17b2o$215bo10bobo10b2o14bobo14b2o
17b2o$227bo13bo14bo17bo18bo12$338bo12bo14bo15bo10bo$25bo311bobo9b2o13b
2o14b2o9b2o17bo$24bobo309b2o11b2o13b2o14b2o9b2o15b2o$23b2o312bobo11bo
14bo15bo10bo14b2o$obobo3bobobo11bobo152bo157b2o10bo14bo15bo10bo18bo$
24b2o152bo121b2o17bo4bo15bo7b3o12b3o13b3o8b3o15bo$4bo3bo18bo149b2o139b
obobo2bo10bo2bo8bo14bo15bo10bo17bobo$23bo2bo152bo11b3o3bo20b3o3bo20b3o
3bo20b3o3bo19b2o2bo15bobobo3bo8bo11b2o13b2o14b2o9b2o17bobo$obobo3bobob
o9bo127bo3bo4bo19b2o9bo5bo2bo6bo10bo5bo2bo17bo5bo2bo17bo5bo2bo16bo20bo
3bo2b2o7b2o12bo14bo13bo3bo8bo18bo$21b2o152bo3b2o7b2o4bobo3bobobobobo6b
2o4bobo3bo5bo8b2o4bobo3bobobob2o7b2o4bobo3bo14b2o4b3o12b2o6bo9bo13bo2b
o11bo2bo12bo10bo2bo12b2o$o7bo3bo9bo127bo3bo4bo13b2obob2o8b3o3bo3bo5bob
2o7b3o3bo3bo5bobobo6b3o3bo3bo5bobobo6b3o3bo3bo5bob2o8bo4b3o12bobo5bo9b
3o38bobo16bo12bo$22b3o148bo20bobobo2bo19bobobo2b2obob2o13bobobo2bo4bo
14bobobo2b2obobobo7b3o27bo8bo13b2o9bo2bob2o7b3o14b2o14b3o$obobo3bobobo
10bo126bobobo4bo12b3o3bo10bobo3bo3bo16bobo3bo3bo16bobo3bo3bo16bobo3bo
3bo6bo10bo6b3o8b3o6b2o11bo12bo9bo2bo10bo17bo15bo$25bo145bo6bobo8b2o25b
2o25b2o25b2o28bo4b3o8bobo6b2o9b2o12bobo8bo2bo9b2o17b3o15bo$23b2o129bo
4bo11bo2b2o3bo10bo26bo26bo26bo26b2o17bobo7bo8b2o12bo11b3o10bo18bobo12b
2o$23b2o146bo2bo3b2o10bobo24bobo24bobo24bobo24b2o6bobo7b2o31bo26bo2bo
18bo10b2o3bo$25bo128bo4bo14bo4bobo8bobo24bobo24bobo24bobo26bo5b2o26b2o
13bobo10bo2bo14bo14bo3bo11bo2bo$176bo3bo10bo26bo26bo26bo34bo9bo16bobo
12bobo10bobo12b2o17b2o14bobo$174b2o131bobo7bobo14b2o14b4o8bo15bo18bo
17bo2bo$174b2o131bobo7bobo14bo17bobo8bo14b3o16b3o19bo$176bo131bo9bo16b
o16bobo8bobo13bo18bo17b2o$335bobo13bo12bo16bo18bo15bobo$336bo14b2o10b
2o14b2o17b2o15b2o$335b2o14bobo10bobo12b2o17b2o16bobo$336bobo13bo12bo
15bo18bo16bo$337bo6$29bo$27b2o$27b2o$29bo$27bo$obobo3bobobo13b3o$26bo$
4bo3bo3bo12b2o165bo$28bo162bobo11bo$obobo3bobobo11bo2bo162b2o12bobo$
23bo153bo13bobo9b2o$o11bo9b2o152bobo12b2o11bobo$22bobo151b2o16bo9b2o$o
bobo3bobobo8b2o153bo13bo2bo13bo$177bo11bo13bo2bo$22bo127bo3bo3bobobo
12b2ob2o8b2o12bo$22bobo150bo2b3o7bobo10b2o$22bobo125bo3bo7bo11b2o11b2o
13bo$23bo149bo5bo22b3o$150bobobo3bobobo10b4o2bo8bo14bo$171bo6bo9bo16bo
$154bo3bo12b5o12bob2o11b2o$171bo5bo11b3o11b2o3bo$154bo3bobobo9bo3bo28b
o2bo$172bo14b2o17bobo$174bo12b3o19bo2bo$172b2o39bo$172b2o14bobo19b2o$
174bo13b2o20bobo$189bo19b2o$189bobo18bobo$189bobo19bo$28bo161bo$26b2o$
26b2o$28bo$26bo$obobo3bobobo12b3o$25bo$4bo3bo3bo11b2o$27bo$obobo3bo3bo
10bo2bo$22bo$4bo3bo3bo8b2o$22bo219bo$obobo3bobobo9b3o216bobo$23bo217bo
bo$25bo188bo26bo$23b2o188bobo$23b2o173bo14bobo24b2o$25bo150bo20bobo13b
o11bo4bo10bobo$175bobo19bobo12b2o10bobobo2bo9b2o$175bobo19bo14bobo9bob
obo3bo9bo$150bo3bo3bobobo12bo48bo3bo2b2o10bo2bo$179bo16b2o13b3o9b2o6bo
$150bo3bo7bo11b2o4bo11bo3b2obo8bo2b2o10bobo5bo8bo2bob2o$172b7o11b2obob
2o9b2o25bo6bo2bo$150bobobo3bobobo8bo18bo15b2o5b3o6b3o6b2o7bo2bo$171bob
o3b3o9b3o3bo14bo3bo7b3o6b2o8b3o$154bo7bo8bo5bo10bo6bobo9b4o3bo18bo8bo$
172bo5b4o6bo2b2o3bo11b2o2bo12b3o$154bo3bobobo9bobo4bo8bo2bo3b2o28b3o
15bo$173bo5b2o10bo4bobo11b2o29b2o$172b2o6bo12bo3bo12b3o11b2o15b3o$173b
obo5bo9b2o31b2o$174bo16b2o16b2o15bo15bobo$29bo163bo15b2o31b2o$28bobo
180bo31bo$27b2o214bobo$obobo3bo3bo17bo212bobo$26bo3bo213bo$4bo3bo3bo
10bo2bo$22bobo2b4o$obobo3bobobo8bo2bo$22bobo2b4o$4bo7bo10bo2bo$26bo3bo
$obobo7bo17bo$27b2o$28bobo$29bo$362bo$316bo11bo17bo14bobo28bo$303bo11b
obo8b2o17bobo12b2o13bo15bobo$250bo17bo23bo9bobo9b2o10b2o17bobo13bo11b
2o15b2o$240bo7b2o16b2o23bobo8bobo10bo12bo16bo14bobo10b2o16bo$237bob2o
7b2o16b2o23bobo8bo11bobo9bo17b2o14bo14bo14bobo$236bo2bo10bo17bo22bo22b
o11bobo15bobo12bo13bo16bo$235bo3bo8bo17bo34b2o10bo12bo32b2o11b3o14bo$
202bo15bobo14bo4bo7bobo15bobo21b2o10bobo8bobo11bobo13b3o13bobo10bo16bo
bo$198b2ob2o15b2obo12b3o3bo7bo17bo24bobo7bobo9bobo11bobo13b3o13b2o10b
2o16bobo$150bo3bo3bo3bo9b3o7bo14bo3bo11bo3bo14bo4b2obo8bobo15bobo20bob
o9bo2bo8b4o10b4o40bo14b4o$172b2o2bob2ob2o14bo3bo9b2obob2o14b3o5b2o7bob
o15bobo20bo10bob2o11bobo11bobo13b2o13b2o10bo2bo9bobo$150bo3bo3bo3bo11b
3o4bo14bo3bo10bo19bo9bo49bo10bo2b2o9bobo11bobo13b2o13b2o23bobo$172bo2b
obo3bo12b3obobo9b3o3b2o11b2o18b3o15b3o18bo2bo9b2o13bo13bo17bo14bo6bo2b
ob2o9bo$28bo121bobobo3bobobo8bo4bo4bo9bo2b2o3b2o8bo6b2o11bobo17b2obo
14b2obo17b3obo8bo15bo13bo14bo14bo8bo2bo13bo$27bobo141bo4bo4bo8bobo3b2o
11bo2b2o37b2obo14b2obo15bo12b2o14bobo11bobo11b3o12b3o7bo2bo13bobo$26b
2o126bo7bo9bo2bobo3bo7bo2bo3bo4bo7bo2bo5b3o7b3o58b4o8b4o13bo13bo12bo
14bo10b3o14bo$27bobo144b3o4bo8bobo3b2o2bo11bo5b3o7bobo26bobo27bo17bo
11b2o12b2o11b2o13b2o11bo14b2o$27b2o125bo7bo9b2o2bob2ob2o8bo2b2obobo14b
o14bobo19bo3bo2bo10bo3bo2b2o8bo4b2o54bo14bo$30bo141b3o7bo11b2o16b2o3b
2o9b2o20b2obobo2b2o8b2obobo2bo8b2o2b2o10bo14bo2bo10bo2bo9bo2bo11bo2bo
11bo12bo2bo$obobo3bobobo13bo2bo166b2o14b2o3b2o31bobo15bobo4bobo7bobo3b
o8b2o13bo13bo12bo14bo13b2o12bo$25bo171bo16bo4bo9bo19b2o16b2o15b2o15bo
12b2o12b2o11b2o13b2o13b3o10b2o$4bo3bo15b2o203bobo69b3o10bobo11bobo10bo
bo12bobo25bobo$25bobo201bobo18bo17bo16bo16bo10b2o12b2o11b2o13b2o15bobo
8b2o$obobo3bobobo12b2o203bo19bobo15bobo14bobo16bo67b2o$28bo221bobo15bo
bo14bobo14b2o10bo13bo12bo14bo16bo10bo$4bo7bo11bo2bo223bo17bo16bo15b2o
10bobo11bobo10bobo12bobo14bobo8bobo$23bo280bo9bobo11bobo10bobo12bobo
14bobo8bobo$obobo3bobobo9b2o291bo13bo12bo14bo16bo10bo$22bobo$21b2o2$
22bo$22bobo$22bobo$23bo7$335bo41bo10bo$298bo18bo16bobo11bo12bo13b2o9b
2o15bo18bo$281bo15bobo16bobo14b2o11b2o12bobo12b2o9b2o13b2o18bobo22bo$
280bobo14bobo16bobo15bo11b2o11b2o16bo10bo12b2o18bobo21bobo$279bo2bo14b
o18bo16bobo12bo11bobo12bo10bo16bo17bo23bobo$280bo52bo12bo13b2o12b3o8b
3o13bo43bo$192b3o23bo25bo17bo4bo13b2o13b2o17b2o15bo12b3o15bo10bo10bo
15bobo16b2o22b2o$192b3o21b2o24b2o17bobobo2bo28bobo16bobo13b2o11bo13bo
2bo10b2o9b2o15bobo17bobo20bobo$45bo15bo114bobo15b2o20b2o24b2o17bobobo
3bo13bo13b2o17b2o14bobo9b2o12bo17bo8bo16bo18b2o$44bobo13bobo113bo16bo
3b2o62bo3bo14bo17bo18bo14b2o11bo11b2o13bo2bo10bo2bo10b2o20bo20b3o$43b
2o15bobo87bo3bo3bobobo9b4o41b3o23b3o4bobo7b2o6bo10bobob2o14bo2bo15bo2b
o24bo2bo7bobo11bo29bo21bo2bo16b2o$44bobo13bo111b4o2bo15b2obo12b3o3bo3b
obo2b2o9b3o3bo3bobo2bo8bobo4b2o9b2o6bo16bo18bo11b2o20b2o12b2o15b2o12b
3o23bo17bo$25b2o17b2o13b2o89bo3bo3bo16bo19bo13bo5bo2bo3bo2bo9bo5bo2bo
3bo2b2o15bo10bo2bo2bo14b2o17b2o13b2o11b2o22bo16bo13bo21b2o20b3o$47bo
11bobo109b3o5b2ob2o8b3obo10b2o4bobo2bo5bobo6b2o4bobo2bo14b3o6b3o8b2o
19bobo16bobo14bo11bo8bo13b3o13bobo14bo20bo$obobo3bobobo10b2o2bo15bo2bo
103bobobo3bobobo8b2ob2o4bo10bo4bo10b3o3bo19b3o3bo19bobo7bo10bo3bo14b2o
17b2o14bo12bobo7bo14bo14bo14b2o21b3o18bobo$22bo19bo15b3o112b2o2bo6bo6b
obo19bobo23bobo18bobo8bo9bo2bo15bo16bo3bo11b3o11bo8bo17bo11bo15b2o3bo
18bo18bo$4bo3bo12b2o4b3o11b2o15b3o93bo7bo11b2o8bo6bo2bobo2bo8bobo3bo
19bobo3bo18b2o8b2o12bo17bo2bo15bo12bo12bo9b2o14b2o12bobo15bo2bo20bo17b
o3bo$22bo4b3o12bobo12bo123b3o8bob3o2bo8b2o24b2o33b2o12b2o20bo10bobo13b
2o12bobo8bo2bo11b2o12bobo16bobo18b2o19bob2o$obobo3bobobo9b3o17b2o11b2o
97bo3bobobo12bobo2bo11bob3o2b2o8bo25bo24bo10bo30b2o11b3o17bo10bobo9bob
o26b4o17bo2bo14b2o3bo18bo$23bo6b3o12bo9bobo117bo3bo13bobo3bo9bobo23bob
o22bobo22b3o14bobo10bo15bo2bo9b4o9b3o10b2o17bobo20bo15bo2bo19b3o$4bo3b
o3bo12bo4b3o8bo2bo130bobobo29bobo23bobo22bobo22b3o13b2o11b2o14bo12bobo
10bobo11bobo16bobo17b2o18bobo19b3o$23b2o15bo13b3o119bo3bo15b2o12bo25bo
24bo40bo13bo12b2o12bobo10bobo11b2o17bo20bo21bo2bo$obobo3bobobo10b2o4b
2o8b2o13bobo141b2o86bobo14bo2bo8bobo12bo12bo12bo13bo19bo19b3o23bo17b3o
$25bo3b2o9bo14bobo228b2o19bo7bobo12b3o11bo12bo13bo18bobo18bo21b2o19b3o
$31bo8b3o11b2o231bo16b2o9bo15bo12bobo10bobo11bobo17bo21bo19bobo$41bo
245bobo14bobo10bo15bo11bo12bo13bo17b2o19b2o19b2o19b2o$43bo11bo231bobo
13b2o10b2o14b2o11b2o11b2o12b2o18bobo17b2o20bobo17b2o$41b2o12bobo230bo
15bobo8b2o14b2o12bobo10bobo11bobo17bo20bo20bo20bo$41b2o12bobo247bo11bo
15bo12bo12bo13bo$43bo12bo11$347bo$296bo18bo12bo16b2o11bo21bo$294b2o17b
2o12bobo15b2o9b2o21bobo$285bo8b2o17b2o11b2o19bo8b2o20b2o$250bo32b2o11b
o18bo11bobo15bo12bo20bobo$26bo220bob2o15bo16b2o9bo18bo13b2o15b3o9bo22b
2o$25bobo14bo132b3o68bo2bo16bo18bo7b3o16b3o15bo13bo10b3o24bo$24b2o14b
2o133b3o67bo3bo11b3obo17bo9bo18bo13bo2bo13b2o10bo22bo2bo$26bo13b2o135b
2o15b2o23b2o24bo4bo8bo2b2obobo15bobo6b2o17b2o12bo20bo7b2o21bo$24b2o16b
o132bobob2o9b2obo2bo18b2obo2bo22b3o3bo7b2o3b2o18bobo7bo18bo11b2o16bo2b
o9bo20b2o$24b3o13bo109bo3bo3bobobo14bo11bo3b2o19bo3b2o22bo4b2obo7bo5bo
19bo9bo2bo15bo2bo8bo15bo14bo2bo17bo$39b3o132b2o12bo8b3o13bo8b3o5bo11b
3o5b2o7bo4bobo16bo14bo18bo7b3o12b2o18bo16b3o$obobo3bobobo11bo2bo11bo
110bo3bo3bo14bo15bo3b5o3bo3b2o7bo3b5o3bob2o11bo9bo7bo5bo13b2o2bo11b2o
17b2o10bobo11bobo14b2o19bo$24bobo11b2o133b4ob2o11bobo4bo2bob2o11bobo4b
o2bo3b2o7b2o23b2o12bo2bo13bobo16bobo13bo8b2o17bo21bo$4bo7bo11bo12bo3bo
108bobobo3bobobo8bo5bo3bo7b3o3bo9bo8b3o3bo18bobo16b2o5bobo10b3obo11b2o
17b2o12bo3bo26b3o17b2o$25bo14bo130b5obo3bo7b3o3bo2bo15b3o3bo2bo35bobo
4bo11bo16bo16bo3bo11b2o10bo18bo18b2o3bo$obobo7bo12bobo8bobo115bo3bo3bo
8bo9bo14bo24bo16b3o18b2o18b4o13bo2bo15bo13bobo8bo20bo18bo2bo$26bo8b3o
134bo3bo2bo17bo24bo15b3o19bo16bo22bo10bobo15b2o9bob2o15b2o20bobo$4bo7b
o12b2o8bo118bo3bobobo9bo5b2o15bo2bo21bo2bo37bo2bo11bo4b2o14b2o11b3o19b
o8b3o15b2o3bo19bo2bo$34b2o138bo20bo24bo20b3o21bo9b2o2b2o16bobo10bo17bo
2bo29bo2bo23bo$obobo7bo11bo2bo7bo136b2o21bobo22bobo18b3o18b2o11bobo3bo
14b2o11b2o16bo11b2o21bobo20b2o$23bo12bo2bo132b2o22bo24bo40bobo9b2o21bo
13bo14b2o11b3o23bo2bo17bo$22b2o16bo133bo65b2o19b2o35bo2bo8bobo13bobo
40bo16b3o$22bobo12b2o201b2o20bobo10bo26bo7bobo12b2o13bobo23b2o19bo$21b
2o14bobo202bo20bo11bobo21b2o9bo29b2o24bobo20bo$36b2o237bobo21bobo10bo
13bo14bo23b2o20b2o$22bo14bobo236bo21b2o10b2o14bobo12bobo22bobo18b2o$
22bobo13bo260bobo8b2o14bobo12bobo23bo21bo$22bobo275bo11bo14bo14bo$23bo
12$409bo$408bobo$407b2o14bo16bo17bo$319bo89bo11b2o15b2o17bobo$25bo9bo
235bo20bo25bobo86b2o12b2o15b2o17bobo$24bobo7bobo139b2o58bo33bobo18bobo
23b2o14bo73b3o13bo16bo16bo$23b2o9bobo137b2o3bo54b2o33bo2bo17bo2bo24bo
13bobo13b2o71bo16bo17b2o$25bo8bo139b2obobo17b3o16bo17b2o34bo20bo25bobo
12bobo72bo2bo9b3o14b3o16bobo$23b2o154bo17b2o16bo43bo11b2o19b2o23bo14bo
13b2o2bo16bo4bo13bo4bo15bobo10bo16bo$23b3o7b2o140b3o21bo14b2o19b3o20bo
bo55bo28bo20bobobo2bo11bobobo2bo14bo11b2o15b2o17b3o$34bobo137bo21b3o
17bobo16b3o19b2o14bo6bobo11bo21bobo12b2o11b2o4b3o13bobobo3bo10bobobo3b
o14bo11bo14bo3bo15b3o$23bo2bo7b2o114bo3bo3bobobo10b3o19bo18b3o2bo38bob
o9bo7bo2bo9bo7bo2b2o12bo2bo11b2obo10bo4b3o13bo3bo2b2o10bo3bo18bobo10bo
2bo13bo15bo$obobo3bobobo10bobo9bo136bo2bobo17b2o17b2o2bo12bob2o23b2o9b
obob2obobo2b2o7bobob2obobo2bo14b2o13bobo10b3o17b2o6bo10b2o6bo16bo15bo
8bobo15b2o$23bo12bo2bo110bo3bo7bo30bo3bo11bo20bo3bo12b3o11bo6b2o19b2o
10bobo14b2o12bo13bo6b3o9bobo5bobo8bobo4b2o15b2o12b2o9b3o16bobo$4bo3bo
3bo11bo15bo131b3obobo14b3o11bo2b3ob2o13b2o15bo10bo2bo8bo2bo2bo14bo2bo
2bo20bo14bobo13bo4b3o36bo29bobo8bo$24bobo10b2o111bobobo7bo8bo3b3o15bob
3o9bobo5bo13bo4b2o8b2o4bo5bo12b2o19b2o20bo3bo2bo10bo2bo12b2o16b3o6b3o
7b3o6b3o12bo2bo10b2o9b2o17b3o$obobo3bobobo12bo12bobo131bo4bo28bo9b2obo
8b5obo9b3o3bobo2b2o13bo3bo16bo3bo14b2o5bo11bo4bo11b2o4b2o10bobo6b2o8b
3o7bo12bo13bo3bo8bo17b3o$24b2o12b2o114bo7bo9bo15b2ob2o2bo11b3o6bobo12b
obobo14bo6bo13bo2bo17bo2bo14b2o16b2o6b2o10bo3b3o10bobo7bo19bo9b2o16bo
10bo2bo12bo$4bo3bo3bo28bo132b2o11bo4bobo2bo12bobo14bo17bobo3b5o17bo20b
o19bo2b2o9bobo2b2o29b2o7b2o11b3o4b2o11bobo10bobo16bo9b2o$23bo2bo10bo2b
o113bo7bo8b2o13bo3bo2b2o3bo9b3o2bo13bo2b2o13b2o6b2o18b2o19b2o15b4o12b
2o5bo20b3o16bobo9b3o4b2o11b2o10b3o14b2o11bobo$obobo3bobobo9bo13bo135bo
14bo5b2o2bo10b2o16bob4o14bo7bo57b2o2bo17b3o18b3o7bo9bo19bo13bo8bo16bob
o$21b2o12b2o135b3o14bo4b2o15bo14b2o18bobo26b3o18b3o29bo6bo29bobo17b2o
18bo2bo8b2o15b2o11b3o$22bo12bobo135bo13b2o19b2o2bo33bobo26b3o18b3o15b
2o12bobo6bo16b2o9bobo17b2o17bo13bo16bo11bobo$22b3o9b2o139bo11b2o20bo2b
o14bo19bo66b3o11bobo4b2o17b2o10bo20bo15b2o14bo2bo13bo2bo8bobo$23bo149b
2o14bo20bo16bobo44b2o19b2o32bo5b2o19bo46bobo17bo16bo6b2o$25bo9bo137b2o
52bobo44b2o19b2o16b2o22bo64b2o16b2o15b2o$23b2o10bobo137bo52bo47bo20bo
15b2o105bobo14bobo8bo$23b2o10bobo277bo87bo15b2o15b2o10bobo$25bo10bo
366bobo14bobo14bobo8bobo$403bobo15bo16bo10bo$404bo12$325bo25bo17bo$
324bobo10bo12bobo15bobo$323b2o10b2o13bobo15bobo14bo16bo$23bo16bo12bo9b
o261bo9b2o13bo17bo15bobo14bobo$22bobo13b2o12bobo7bobo149bo20bo14bo72b
2o12bo45b2o16bobo$22bobo13b2o11b2o9bobo135bo11b2o19b2o14bobo71b3o9bo
13b2o16b2o15bobo14bo$22bo17bo12bo8bo135b2o12b2o19b2o14bobo9bo4bo15bo4b
o16bo4bo25bobo12bobo15bobo13b2o$38bo12b2o127bo17b2o14bo20bo13bo10bobob
o2bo13bobobo2bo14bobobo2bo12bo2bo8bo14b2o16b2o17bo12b2o$21b2o14b3o11b
3o7b2o116bobo30bo20bo14b2o10bobobo3bo12bobobo3bo13bobobo3bo11bobo10bob
o12bo17bo13bo2bo14bobo$22bobo12bo24bobo114b2o18b3o7bo2bo20bobo12bobo9b
o3bo2b2o12bo3bo2b2o13bo3bo2b2o11bo12bobo13bo2bo14bo2bo8bo18b2o$22b2o
12b2o13bo2bo7b2o115bo19b3o7bo2b2o19bobo23b2o6bo12b2o6bo13b2o6bo13bo31b
o17bo6b2o19bo$obobo3bobobo10bo13bo13bobo9bo86bo3bo3bobobo17bobo26bo24b
o12b3o9bobo5bo12bobo5bo13bobo5bo13bobo9b3o14b2o16b2o9bo20bo2bo$24bo2bo
10bo2bo9bo12bo2bo112bobo9bo4b2o11b3o2bo17bo10bo2b2o20bo20bo21bo12bo10b
2obo14bobo14bobo8b3o$4bo3bo3bo15bo13bo9bo15bo81bo3bo3bo3bo16b3o9bo4bob
o12bo18bo2bo8b2o14b3o6b2o10b3o6b2o11b3o6b2o12b2o12b2obo12b2o14b2o11bob
o14bo2bob2o$25b2o12b2o11bobo10b2o111b2o10b2o2bobo14bob3o12b2obo10b2o5b
3o6b3o6b2o10b3o6b2o11b3o6b2o45bo15bo13bo12bo2bo$obobo3bobobo13bobo11bo
bo10bo11bobo82bobobo3bobobo15bo11bo2bo15b2o3b2o12b3obo13bo3bo18bo20bo
21bo10bo2bo26bo2bo12bo2bo11bo3bo11bo2bo$26b2o12b2o10b2o10b2o107bo3bobo
9b2o2bo4bo10b2obobo12bo15b4o3bo10b3o12b3o19b3o21bo14b2obo11bo15bo16b2o
14b3o$4bo7bo16bo13bo21bo88bo3bo3bo9bobo3bo10bo5bo3bo14bo12b6o11b2o2bo
12b3o12b3o19bobo20b2o14bobo11b2o14b2o17bo15bo$25bo2bo10bo2bo8bo2bo11bo
2bo102bo4b3o2bo6b2obo3b2obo8b2obo13bo96bobo11bo15bobo13bobo15b3o$obobo
3bobobo11bo13bo12bo18bo83bo3bobobo9bobobo5bo7bo17b2o14bo4b2o15b2o14bob
o12bobo17b3o22b2o10b2o16b2o14b2o17bobo13bo$23b2o12b2o11bo16b2o106b5obo
8b2o2bo15bobo10b2o2b2o17b3o13b2o13b2o18b2o26bo8bobo18bo15bo19bo9b2o$
24bo12bobo10b3o15bo102b2o20bobo14bo12bobo3bo33bo14bo20bo21bo2bo26bo2bo
12bo2bo17bo3bo8b3o$24b3o9b2o30b3o101b2ob2o3bo10bo3bo15b4o7b2o23bobo13b
obo12bobo16b2o21bo12b3o14bo15bo22b2o13bobo$25bo25bobo15bo103bob2o14bo
20bo34b2o14bobo12bobo17bobo18b2o12bobo13b2o14b2o23bo11b3o2bo$27bo9bo
13b2o18bo105bo13bobo18b2o9bo24bo15bo14bo19bo20bo13bobo12bobo13bobo22b
3o9b2o$25b2o10bobo12bo16b2o121bo20bo9bobo22bobo69b3o10b2o13b2o14b2o25b
o13bo$25b2o10bobo12bobo14b2o143bo8bobo22bobo70bo71bo8b2o2bo$27bo10bo
13bobo16bo152bo24bo73bo10bo14bo15bo25b2o10bo2bo$53bo267b2o11bobo12bobo
13bobo23b2o11bo$321b2o11bobo12bobo13bobo25bo$323bo11bo14bo15bo46$609bo
18bo16bo17bo13bo15bo32bo28bo13bo13bo$608bobo16bobo14bobo15bobo11bobo
13bobo11bo17b2o27b2o13bobo11bobo$608bobo16bobo14bobo15bobo11bobo13bobo
9b2o18b2o12bo14b2o13bobo11bobo$608bo18bo16bo17bo13bo15bo11b2o20bo9b2o
17bo12bo13bo$50bo655bo17bo11b2o15bo$49bobo13bo19bo488b2o31b2o17b2o15b
2o16b2o12b2o14b2o11bo18b3o12bo13b3o12b2o12b2o$48b2o3bo10bobo17bobo451b
o18bo50bobo16bobo14bobo15bobo11bobo13bobo9bobo16bo12bo15bo15bobo11bobo
$49bo4bo9bo19bobo18bobo429bobo16bobo13b2o2bo31b2o17b2o15b2o16b2o12b2o
14b2o10bo17b2o11b3o13b2o15b2o12b2o$48b5obo9bo2bo16bo20b2obo13b2o23b2o
21b2o278bo20bo20bo9bobo8bo23b2o17b2o13bo19bo4bo12bo18bo16bo17bo13bo15b
o11bobo17bo9bo14bo3bo14bo13bo$34bo12b3o16bo33bo3bo13b2obo2bo18b2obo2bo
46bo32bo28bo28bo28bo132bo2b3o5bobo7bo2b3o15bo2b3o3bo2bo8bo2b3o3bo2b2o
11bo18bo13b2o4b3o11bobobo2bo12bo2bo15bo2bo13bo2bo14bo2bo10bo2bo12bo2bo
7bobo13bo2bo9b2o17bo16bo2bo10bo2bo$30b2ob2o11bo3bo15bob3o12b2o2bobo8b
2obob2o12bo3b2o19bo3b2o20b2o2bo22b2o23b2o6bobo18b2o6bobo18b2o6bobo18b
2o6bobo5bobo9b3o26b3o26b3o26b3o23b2o4bobobo2bo7b2o4bobobo2b2o6b2o4bobo
bo2b2o6b2o4bobobo2bo13bo18bo13bo4b3o11bobobo3bo15bo18bo16bo17bo13bo37b
o14bo13bobo22bo13bo$o3bo3bobobo16bo3bo11bo3bo16b3o12bo2bob4o8bo17bo8b
3o13bo8b3o5bo8bo25b5ob3o25bo28bo8bobo17bo6bo2b2o17bo6bo2bo9bo28bo28bo
28bo30bobo3bo2b2o10bobo3bo2bo11bobo18bobo5bobo10b2ob2o14b2ob2o11b3o16b
o3bo2b2o12b2o17b2o15b2o16b2o12b2o14b2o8b3o11b2o15bo2bo8b3o20b2o12b2o$
29bo3bo11bobobo30bo4b2o10b3o3b2o12bo3b5o3bo3b2o7bo3b5o3bob2o8b2o4b3o
17bo8bobo4bo9b2o2bo3bo2b2obobo2b2o8b2o2bo3bo2b2obobo2bo9b2o2bo3bo2b2ob
obo2bo9b2o2bo3bo2b2obobo2b2o6b2o4bo4bobo15b2o4bo4bobo15b2o4bo4bobo15b
2o4bo4bobo15b2ob2o16b2ob2o7bobo6b2ob2o16b2ob2o20bo2b3o13bo2b3o11bo6b2o
8b2o6bo13bobo16bobo14bobo15bobo12bobo13bo8b2obo10bobo26bo22bobo12bo$o
3bo3bo3bo15bo3bo2bobo7bo3bo14b4o11bo3bob2o9bo6b2o14bobo4bo2bob2o11bobo
4bo2bo3b2o7bo4b2o18bobo2b2o4bobo3bo7bo6b5o5bo2bo8bo6b5o5bo2b2o7bo6b5o
7bobo7bo6b5o16b3o3bobob2obo15b3o3bobob2obo15b3o3bobob2obo15b3o3bobob2o
bo15b3o18b3o18b3o18b3o21b2o17b2o18bo4b2o8bobo5bobo10b2o17b2o15b2o16b2o
14b2o13bobo9b2obo7b2o13bo2bob2o7b2o21b2o14b3o$26b3obobo3bobo7bo2b2o13b
o4b2o8bo2b2obo10bo2b2o16b3o3bo9bo8b3o3bo18b3o4bo10bo6bo5bo2b3o2bo9b2o
4b2o6bo5bobo6b2o4b2o6bo14b2o4b2o6bo14b2o4b2o6bo20bo28bo13bo14bo28bo22b
4obo15b4obo15b4obo15b4obo17bo5bo12bo5bo12b2o7bo29bo18bo16bo19bo15bo11b
o37bo2bo11bo20bo3bo13bo$obobo3bobobo10bo2b2o3b2o3bo9bo5b2o8bo2b2o2b2o
7b3o15bo2bo5b3o9b3o3bo2bo15b3o3bo2bo16bo6b4o5b2o7bo5bo6bob2o7bo4b2o3b
2o17bo4b2o3b2o17bo4b2o3b2o17bo4b2o3b2o17bobo3b6obobobob2o8bobo3b6obobo
bobobo7bobo3b6obo15bobo3b6obo5bo8b2obobo15b2obobo15b2obobo15b2obobo17b
4o2bo12b4o2bo12b2o5bo8b3o6b3o12bo2bo15bo2bo13bo2bo11bo2bo12bo2bo11bo
24bo13bo2bo12bo2bo19bo16bo$22bobo3b2o17b2obo11b3o12bo3bo17bo5b3o16bo2b
o21bo2bo17bo10b2obo8bobo21b3o4bo2b2o17b3o4bo2b2o17b3o4bo2b2o17b3o4bo2b
2o17b2o6bo8bobobo7b2o6bo8bob2o8b2o6bo8bob2o8b2o6bo8bobobo90bo6bo11bo6b
o15bo3b3o7b3o6b2o17bo18bo16bo9bo15bo15bobo10b2o10bo14b3o31bobo16b2o$4b
o7bo8bo2bo3bo4bo16bo10bo2bobo10bo2bo20bo23bobo22bobo15b2o8b3o3bo9bo9b
2o12bo28bo28bo28bo28bo8bo2bo5bo10bo8bo2bo16bo8bo2bobobobobo8bo8bo2bobo
bob2o7b2o2bo16b2o2bo16b2o2bo16b2o2bo16b5o14b5o22bo20bo13b2o17b2o15b2o
10b2o14b2o14bo2bo9b2o10bo16bo14b2o15b3o17b2o3bo$22bobo3b2o2bo17b2o9b3o
13bo2bo18b2o5bobo16bo24bo17b2o9bo4bo8b2o8bo16bo28bo28bo28bo26bobo6bo
19bobo6bo19bobo6bo8bo10bobo6bo18bo20bo20bo20bo19bo18bo9bobo13b2o12b3o
3b2o14bobo17bobo13bobo10bobo13bobo11b4o11bo10b2o31bo15bo21bo2bo$4bo3bo
bobo10bo2b2obobo29bo2bo15bobo16b2o5b2o19bo24bo17bo8bo3bo10bobo5bo2bo
12b2o27b2o27b2o27b2o27bobo7b2o17bobo7b2o17bobo7b2o17bobo7b2o16bo3bobo
14bo3bobo14bo3bobo14bo3bobo14bo3b2obo2b2o7bo3b2obo2bo16bo11b3o4bobo11b
2o19b2o13b2o12b2o14b2o11bobo10bo2b2o10bo2bo13bo13bobo13b2o22bobo$26b2o
24b3o8b2o36bo5bo17b2o23b2o28bo2bo11bo7bobo12b2o27b2o27b2o27b2o28bo28bo
28bo28bo30b2obo17b2obo17b2obo17b2obo13bo6bo2bo8bo6bo2b2o14bobo18bo13bo
22bo14bo13bo15bo9bo12bo2bo12bobo11b2o14bo18bo23bo2bo$28b2o22b3o8bo16b
3o24bobo15b2o23b2o29bob2o19bo15bo28bo28bo28bo142b2o19b2o19b2o19b2o20bo
6bobo9bo23bobo9b2o22bo2bo14bo2bo11bo2bo10bo2bo12bo2bo9bo13bo14b3o12b3o
12bo15bo2bo28bo$29bo34b3o13b2o25bobo17bo24bo31bo265b2o19b2o19b2o19b2o
18b2o17b2o24bo11b2o26bo12bo14bo13bo15bo13bobo12b3o10bobo16bobo9bobo12b
o29b2o$51b2o14bo14bo25bo343bo20bo20bo20bo17b2o17b2o26bo11bo22b2o13b2o
13b2o12b2o14b2o13bo2bo12bo11bobo14b3o2bo8bo2bo10b2o30bo$51b2o12b2o13b
2o453bo18bo23b2o36bo14bo14bo13bo15bo29b2o2bo7bo16b2o26bobo29b3o$53bo
11b3o13bobo494b2o36b3o12b3o12b3o11b3o13b3o11b3o16bobo7bo18bo10b3o10b2o
32bo$82bo497bo36bo14bo14bo13bo15bo12b2o15bo3bo7bobo13b2o2bo9b2o47bo$
619bo14bo14bo13bo15bo12bo14bo12bo15bo2bo11bo11bo32b2o$617b2o13b2o13b2o
12b2o14b2o11b2o15bobo9b2o16bo11b2o12bobo30b2o$617b2o13b2o13b2o12b2o14b
2o12bobo14bo11bobo27bobo10bobo32bo$619bo14bo14bo13bo15bo12bo28bo29bo
12bo12$423bo11bo20bo12bo17bo15bo16bo11bo17bo26bo16bo12bo14bo21bo10bo9b
o14bo$421b2o10b2o19b2o11b2o16b2o14b2o15b2o10b2o16b2o25b2o15b2o11b2o13b
2o20b2o10bobo7bobo12bobo27bo19bo20bo$290bo21bo108b2o10b2o19b2o11b2o16b
2o14b2o15b2o10b2o16b2o25b2o15b2o11b2o13b2o20b2o9b2o9bobo12bobo26bobo
16b2o19b2o$289bobo19bobo109bo11bo20bo12bo17bo15bo16bo11bo17bo26bo16bo
12bo14bo21bo10bo8bo14bo28bobo16b2o19b2o$76bobo199bo9b2o20b2o27bo11b2o
68bo11bo20bo12bo17bo15bo16bo11bo17bo26bo16bo12bo14bo21bo10b2o53bo$76bo
200bobo9bo21bo27bo81bobo9bobo17b3o10b3o15b3o13b3o14b3o9b3o15b3o24b3o
14b3o10b3o12b3o19b3o9b3o7b2o13b2o27b2o19b3o18b3o$41bo31b3o201b2o9bobo
19bobo21b3obo10b2o2bo57bo9bobo9bo19bo12bo17bo15bo16bo11bo17bo26bo16bo
12bo14bo21bo22bobo12bobo25bobo18b3o18b3o$30bo9bobo30b2obo200bo10bo21bo
21bo2b2obobo7bo60b2o11bo11bobo15b2o11b2o16b2o14b2o15b2o10b2o16b2o25b2o
15b2o11b2o13b2o20b2o11bo2bo7b2o13b2o$28b2o9b2o31bo2b2o146bo21bo32bobo
6bo21bo21b2o3b2o9b2o4b3o16bo36b2o9b2o12bobo16bo12bo17bo15bo16bo11bo17b
o24bo3bo12bo3bo10bo16bo17bo3bo9bobo9bo14bo25b3o16b3o18b3o$28b2o11bo31b
ob2o2bo142bobo19bobo31bobo6bobo19bobo19bo5bo10bo4b3o15bobo5b2o40bo32bo
2bo9bo2bo14bo2bo12bo2bo13bo2bo8bo2bo14bo2bo23bo16bo12bo2bo8bo2bo21bo
10bo12bo2bo11bo2bo21b3o16b3o18b3o$30bo8b2o28b2obo2b2o13b2o31b2o31b2o
31b2o31bobo19bobo6bobo20b4o7bo21bo22bo4bobo8b3o19b2o26bo11b3o8b3o10b3o
21bo12bo17bo15bo28bo17bo18bobo14bobo25bo21bobo13bo15bo14bo38bo20bo$obo
bo3bobobo15bo10b3o26bo8bo144bo6bo2b2o10bo6bo2bo20bobo10b4o18b4o18bo5bo
10bo6b2o13bobo3b2o2bo15bobo10b3o9bo11b2obo17b2o11b2o16b2o14b2o15b2o10b
2o16b2o19b3o14b3o16b2o7b2o20b3o14bobo10b2o13b2o19b3o15bob2o17bob2o$28b
obo40bo5bobo8b2o2bo6bo3bo17b2o2bo6bo3bo6bo10b2o2bo6bo3bo17b2o2bo6bo3bo
23b2obo2bo15b2obo2b2o19bobo12b2o20b2o23b2o12bo4b2o13b2o3bo19b2o26bo11b
2obo15bobo10bobo15bobo13bobo15bo11bo17bo19bo16bo19bo8bo20bo17bo11bobo
12bobo18b3o14bo3bo16bo3bo$o7bo3bo15bobo9bo2bo23bobo17bo10bobobo2b2obob
2o8bo10bobobo2b2obobobo7bo10bobobo2bo14bo10bobobo2bo4bo11b2o8bobo9b2o
30bo16bo21bo16b2o5bobo8b2o7bo15bobo4b3o13bobo3bo3b3o12b2o30b2o11b2o16b
2o14b2o16bobo10b3o15b3o16b2o15b2o18bobo7b3o17b2o16b2o10b2o13b2o19bo16b
o20bo$29bo9b3o3bo5bobo12b3o17b2o4b3o3bo3bo5bobobo6b2o4b3o3bo3bo5bob2o
7b2o4b3o3bo3bo5bob2o7b2o4b3o3bo3bo5bobobo7b7o15b7o42bo21bo19bobo4bo9b
2o5bo13bo2bo3bo3b3o13b2o3bo4b3o12b2o29bo3bo10bo17bo15bo16bo13bobo15bo
18bo16bo18bo10bobo19bo27bo14bo16bob2o17bobo18bobo$obobo3bo3bo10b3o2bo
10b2o2bobobo3b2obo11bo20bo4b2o4bobo3bo5bo9bo4b2o4bobo3bo15bo4b2o4bobo
3bobobobobo7bo4b2o4bobo3bobobob2o7bo21bo25bo4b4o14bo3b2obo14bo3b2obo
13b2o17bo3b3o11bo30bobo32b2obo17bo12bo2bo14bo2bo12bo2bo11bo18bo15bo17b
o2bo13bo2bo13bo15bo13bo2bo14bo2bo11bo2bo11bo2bo11bo3bo$23b2o3bo13bobo
4bo15b2o20b3o4bo5bo2bo16b3o4bo5bo2bo16b3o4bo5bo2bo6bo9b3o4bo5bo2bo15bo
bo3b3o13bobo3b3o15b2obo4bo17bo5bo15bo5bo14bo21bo12b2o14b3o9bo2bo3b2o2b
o12b2o13bobo14bobo18bo17bo15bo10bobo13bo3bo12b2o22bo16bo12bobo10bo3bo
11bo17bo44bo22b3o18b3o$4bo3bo3bo13bo13bo3bo2b3o18bo19bo6b3o3bo19bo6b3o
3bo19bo6b3o3bo19bo6b3o3bo17bo5bo15bo5bo17bo4b2obo18bobo19bobo18bo2bo
16b2o12bobo13b3o8bo24bobo11bo16b3o16b2o16b2o14b2o11bo2bo14b2o14b2o3bo
15b2o15b2o13bo2bo11b2o12b2o16b2o12bo2bob2o12b2o12bobo19bo20bo$24b2o2bo
2b2o7bo3bo2b2o2bo12bo2bo22bo32bo32bo32bo29bo5b4o12bo5b4o12b3o3b2o29bob
o35bo16bo11b2o25b2o9b2o12b2obo9b2o17bo18bobo16bobo12bobo9b4o16bobo14bo
2bo16bobo13bobo11b4o13bobo11bobo16bo11bo2bo16bo34bobo18bobo$obobo3bobo
bo9bo2bo2bobo9bobo7bobo10bo24b2o31b2o31b2o31b2o30bobo4bo14bobo4bo13bo
31bo3bo2bo14bo3bo2b2o10b2o19bo2bo23b2o9bobo22bo12bobo15b2o17b2o18b2o
12b2o10bobo18b2o16bobo16b2o13b2o12bobo15b2o12b2o15b3o11bo2bo15bobo11b
3o17b4o17b4o$22b3o2b3obo9bo6bo13b2o24b2o31b2o31b2o31b2o31bo5b2o14bo5b
2o12bo2b2o26b2obobo2b2o12b2obobo2bo12bo23bo7bo14b2o8b2o24b2o32bo16bo
21bo13bo8bo23bo17bo2bo15bo14bo10bo20bo13bo13b2o2b2o9b3o15bo12bo19bobo
18bobo$21bo2bob3o19bo13bobo25bo32bo32bo32bo29b2o6bo13b2o6bo12bo2bo27bo
bo19bobo4bobo11b3o18b2o9bobo14bo33b2ob2o7b3o15bo2bo18bo2bo13bo2bo10bo
2bo8bo20bo2bo22bo10bo2bo11bo2bo10bo17bo2bo10bo2bo17bobo26bo11b2o20bobo
18bobo$21b3o3b2o19bobo10b2o157bobo5bo13bobo5bo14bo26b2o20b2o21bo19bobo
8bobo23bo36b3o14bo26bo11bo13bo12bobo17bo23b2o11bo14bo14bobo14bo13bo18b
o14bo2bo13bobo9b3o19bo19bo$21bo2bo24bo171bo21bo23bo71bo16b2o11bo24bobo
24b2o24b2o23b2o12b2o12b2o12bo2bo15b2o24bo10b2o13b2o14bo2bo12b2o12b2o
18bobo12bobo14bobo32bo18bobo$22b2o38bo202b2o26bo21bo21b2o18bobo34bobo
24bobo10b3o10bobo23bo13bo13bo31bobo23b3o8bobo12bobo29bobo11bobo17bo14b
o17b4o8bobo19bobo16bo$62bobo200b2o26bobo19bobo19b2o19bo36bo24b2o12b3o
9b2o25b3o11b3o11b3o10b3o15b2o26bo8b2o13b2o15b3o12b2o12b2o20bo14bo18bob
o7b2o21bo19bo$62bobo202bo25bobo19bobo21bo134bo13bo13bo11b2o46bo38b2o
49bobo12bobo16bobo8bo20b2o17b2o$63bo230bo21bo104bo11b2o12bo28bo13bo13b
o11bo16bo26b2o8bo14bo17bo13bo13bo21bo14bo16bo11bobo19bobo15b2o$421bobo
9b2o12bobo24b2o12b2o12b2o10b2o17bobo24b2o8bobo12bobo13b2o14bobo11bobo
18b2o13b2o16b2o10bobo20bo18bo$421bobo11bo11bobo24b2o12b2o12b2o11bobo
15bobo26bo7bobo12bobo14bobo12bobo11bobo19bobo12bobo14bobo10bo$422bo25b
o27bo13bo13bo11bo17bo36bo14bo16bo14bo13bo21bo14bo16bo!
I also expanded the list of known period-2 ships up to 75 bits:

Code: Select all

#C All known period-2 ships up to 75 bits
#C Spaceships found by Dean Hickerson, David Bell, Harmut Holzwart,
#C Aidan F. Pierce, and Matthias Merzenich
x = 611, y = 281, rule = B3/S23
28bobo$27bo2bo144bobo$26b2o146bo2bo$25bo147b2o14bobo$24b4o144bo4bo10bo
2bo$23bo4bo142b5obo9b2o$23bo2bo141b2o16bo$23bo2bo140bo3b3o11b4o$24bo
141bo3bo13bo4bo6bo$25b4obo135bo5bo11bo2bo5b2obo$26bo3bo135bo2bo2bo11bo
2bo5bo$obobo3bo3bo14bo112bobobo3bobobo14bobo2b2obo9bo7bo$27bobo145bo
10b4obo$o7bo3bo127bo7bo3bo13b3o18bo3bo$26b3o137b2o20bo$obobo3bobobo13b
2o112bobobo3bobobo13b3o19b5o6bo$26b3o167b2obo$o3bo7bo127bo3bo7bo14bobo
20b3o3bo$27bobo137bo22bo5bo$obobo7bo14bo112bobobo3bobobo13bo3bo19bo3bo
$26bo3bo134b4obo20bo3b3o$25b4obo133bo27b2o$24bo138bo2bo28b5obo$23bo2bo
136bo2bo29bo4bo$23bo2bo136bo4bo28b2o$23bo4bo135b4o30bo2bo$24b4o137bo
33bobo$25bo140b2o$26b2o139bo2bo$27bo2bo137bobo$28bobo7$171bo$168bobobo
$167bo2bo$166b2o91bobo$165bo92bo2bo$28bobo133b4o89b2o66bo23bo$27bo2bo
132bo4bo23bobo19bobo19bo19bo3bo13bobo21bobo21bobobo19bobobo$26b2o135bo
2bo24bo2bo18bo2bo16b4o18b3obo13bo2bo20bo2bo20bo2bo20bo2bo$25bo137bo2bo
23b2o20b2o19b3o16b2o18b2o22b2o22b2o22b2o$24b4o136bo24bo21bo4bo14bo3bo
15bo3b5o11bo23bo23bo23bo$23bo4bo136b4obo17b6o16b5obo14b3o16bo3bo15b4o
20b4o20b4o20b4o$23bo2bo139bo3bo14b2o7bo12b2o19bobo4bo14bo5b2o11bo4bo6b
o11bo4bo6bo11bo4bo18bo4bo$obobo3bobobo10bo2bo113bobobo3bobobo14bo16bo
3b3obo13bo3b3o14b8o15bo2bo2b4o9bo2bo5b2obo11bo2bo5b2obo11bo2bo20bo2bo$
24bo142bobo13bo3bo4bo12bo3bo16b2o23bobo5bo9bo2bo5bo14bo2bo5bo14bo2bo
20bo2bo$o7bo16b4obo113bo3bo3bo30bo5bo4bo10bo5bo13b2o4b2o37bo7bo15bo7bo
15bo23bo$26bo3bo135b3o14b3o3b5o11b3o3bo14bobo3bo2bo14b3o18b4obo18b4obo
18b4obo18b4o$obobo3bobobo14bo116bo3bo3bo13b2o38bo4b2obo18bobo14b2o20bo
3bo19bo3bo19bo3bo25bobo$27b6o133b2o15b3o3b5o12b2o6bo11b2o22b3o20bo23bo
23bo21bobo2b2o2bob2o$o3bo7bo25bo105bo3bo3bo13b3o14bo5bo4bo11bobo17bo2b
o43b5o19b5o19b6o7bo7b2o4b2o$29b3o3b4o144bo3bo4bo13b2o2b2obo13bo4bo2bo
15bobo30bo21bo25b2o9b2o7bo$obobo3bobobo16bo5b2o107bo3bobobo14bobo14bo
3b3obo14bob3obobo11b4obobo16bo23b3o3b4o12b3o3b4o16b3o3b4obo9b7obo$29bo
3bo133bo17b2o7bo19bo14bo6bo13bo3bo20bo5b2o14bo5b2o18bo5b2o14bobo6bo$
30bo3b5o127bo3bo17b6o15b5obo14b5obo12b4obo20bo3bo17bo3bo21bo3bo20b5obo
$31b2o132b4obo18bo20bo4bo14bo17bo27bo3b5o13bo3b5o17bo3b5o15bo$34b3obo
125bo25b2o19b3o17b3obo11bo2bo26b2o20b2o24b2o22b3obo$35bo3bo123bo2bo24b
o2bo16bo3bo16bo3bo10bo2bo29b3obo17b3obo21b3obo17bo3bo$36b2o125bo2bo25b
obo18b3o17b2o12bo4bo28bo3bo17bo3bo21bo3bo17b2o$37bo2bo122bo4bo44b4o17b
o2bo10b4o30b2o20b2o24b2o20bo2bo$38bobo123b4o48bo18bobo11bo33bo2bo18bo
2bo22bo2bo18bobo$165bo84b2o32bobo19bobo23bobo$166b2o83bo2bo$167bo2bo
81bobo$168bobobo$171bo5$51bo$28bobo17bobobo$27bo2bo16bo2bo167bobo$26b
2o18b2o127bobo18bobo18bo2bo$25bo19bo128bo2bo17bo2bo17b2o17bo$24b4o16b
4o125b2o19b2o19bo4bo11bobobo19bobo21bobo$23bo4bo14bo4bo123bo4bo15bo4bo
15b5obo10bo2bo20bo2bo20bo2bo$23bo2bo16bo2bo124b5obo14b5obo12b2o17b2o
22b2o22b2o$23bo2bo16bo2bo121b2o19b2o19bo3b3o12bo23bo23bo$24bo19bo122bo
3b3o14bo3b3o14bo3bo14b4o20b4o8bo11b4o$25b4obo14b4obo115bo3bo16bo3bo17b
o5bo11bo4bo6bo11bo4bo6bobo9bo4bo6bo$26bo3bo15bo3bo115bo5bo14bo5bo15bo
2bo2bo11bo2bo5b2obo11bo2bo5b2obo11bo2bo5b2obo$obobo3bobobo14bo19bo92bo
bobo4bo16bo2bo2bo14bo2bo2bo16bobo2b2obo8bo2bo5bo14bo2bo5bo14bo2bo5bo$
27bobo17bobo117bobo2b2obo12bobo2b2obo21bo9bo7bo15bo7bo15bo7bo$o7bo135b
o4bo25bo20bobo10b3o17b4obo18b4obo18b4obo$26b3o17b3o117b3o18b3o7bo11b2o
19bo3bo19bo3bo19bo3bo$obobo3bobobo13b2o18b2o96bo4bo16b2o19b2o20b2o20bo
23bo23bo11bo$26b2o18b3o117b3o18b3o19b3o19b5o6bo12b5o6bo12b5o6bobo$o3bo
3bo3bo13b3o115bo4bo89b2obo20b2obo20b2obo$47bobo117bobo18bobo19bobo20b
3o3bo17b3o3bo17b3o3bo$obobo3bobobo14bobo17bo96bo4bo17bo20bo21bo22bo5bo
17bo5bo17bo5bo$27bo18bo3bo115bo3bo16bo3bo17bo3bo19bo3bo19bo3bo19bo3bo$
26bo3bo14b4obo114b4obo15b4obo16b4obo20bo3b3o17bo3b3o17bo3b3o$25b4obo
13bo119bo20bo21bo27b2o22b2o22b2o$24bo18bo2bo116bo2bo17bo2bo18bo2bo28b
5obo17b5obo17b5obo$23bo2bo16bo2bo116bo2bo17bo2bo18bo2bo29bo4bo18bo4bo
18bo4bo$23bo2bo16bo4bo114bo4bo15bo4bo16bo4bo28b2o22b2o22b2o$23bo4bo15b
4o116b4o17b4o18b4o30bo2bo20bo2bo20bo2bo$24b4o17bo119bo20bo21bo33bobo
21bobo21bobo$25bo20b2o118b2o19b2o20b2o$26b2o19bo2bo116bo2bo17bo2bo18bo
2bo$27bo2bo17bobo117bobobo16bobo19bobo$28bobo140bo9$237bobo$31bo185bob
o16bo2bo$28bobobo142bo40bo2bo15b2o19bo47bo144bobo$27bo2bo141bobobo17bo
20b2o17bo3bo14bobobo19bobo21bobobo19bobo21bobo21bobo21bobo21bobo24bo2b
o$26b2o143bo2bo16b4o19bo3bo14b3obo14bo2bo20bo2bo20bo2bo20bo2bo20bo2bo
20bo2bo20bo2bo20bo2bo23b2o$25bo144b2o19b3o19b3obo12b2o19b2o22b2o22b2o
22b2o22b2o22b2o22b2o22b2o25bo4bo$24b4o141bo19bo3bo16b2o17bo3b5o12bo23b
o23bo23bo23bo23bo23bo23bo26b5obo$23bo4bo139b6o15b3o17bo3b5o10bo3bo16b
4o20b4o8bo11b4o20b4o8bo11b4o20b4o20b4o20b4o21b2o$23bo2bo138b2o7bo11bob
o4bo14bo3bo15bo5b2o12bo4bo6bo11bo4bo6bobo9bo4bo6bo11bo4bo6bobo9bo4bo
18bo4bo18bo4bo18bo4bo19bo3b3o$obobo3bobobo10bo2bo113bobobo3bobobo11bo
3b3obo12b8o15bo5b2o12bo2bo2b4o10bo2bo5b2obo11bo2bo5b2obo11bo2bo5b2obo
11bo2bo5b2obo11bo2bo20bo2bo20bo2bo20bo2bo20bo3bo$24bo138bo3bo4bo11b2o
22bo2bo2b4o11bobo5bo10bo2bo5bo14bo2bo5bo14bo2bo5bo14bo2bo5bo14bo2bo20b
o2bo20bo2bo20bo2bo20bo5bo$o11bo12b4obo113bo7bo10bo5bo4bo8b2o4b2o18bobo
5bo31bo7bo15bo7bo15bo7bo15bo7bo15bo23bo23bo23bo22b3o3bo$26bo3bo132b3o
3b5o10bobo3bo2bo34b3o19b4obo18b4obo18b4obo18b4obo18b4o20b4o11bo8b4o20b
4o19bo4b2obo$obobo7bo14bo116bo3bobobo38bobobo12b3o17b2o21bo3bo19bo3bo
19bo3bo19bo3bo25bobo4bo16bobo4bobo14bobo21bobo5bo7b2o6bo$27b6o130b3o3b
5o10b2o8bo13b2o18b2o22bo23bo23bo23bo21bobo2b2o2bob2obobo7bobo2b2o2bob
2obo9bobo2b2o2bob2obo9bobo2b2o2bob2obobo6bobo$o3bo7bo25bo105bo3bo14bo
5bo4bo9bo2bo20b3o17b3o21b5o19b5o19b5o19b5o16b2o4b2o8bo7b2o4b2o16b2o4b
2o7bobo6b2o4b2o7bo8b2o2bo$29b3o3b4o124bo3bo4bo12bo4bo2bo69bo23bo21bo
23bo12b2o7bo14b2o7bo14b2o7bo5bo8b2o7bo14bobo8bo$obobo7bo16bo5b2o107bo
3bobobo11bo3b3obo12b4obobo16bobo17bobo22b3o3b4o14b3o3b4o12b3o3b4o14b3o
3b4o13b7obo15b7obo15b7obo15b7obo22b2obo$29bo3bo131b2o7bo12bo6bo14bo19b
o24bo5b2o16bo5b2o14bo5b2o16bo5b2o16bobo6bo14bobo6bo14bobo6bo14bobo6bo
12b2o6bo$30bo3b5o129b6o14b5obo13bo3bo15bo3bo21bo3bo19bo3bo17bo3bo19bo
3bo22b5obo17b5obo17b5obo17b5obo12bo2bo4bo$31b2o136bo18bo18b4obo14b4obo
22bo3b5o15bo3b5o13bo3b5o15bo3b5o17bo23bo23bo23bo19bo4bo$34b3obo131b2o
17b3obo12bo19bo29b2o22b2o20b2o22b2o24b3obo19b3obo19b3obo19b3obo14b4obo
$35bo3bo131bo2bo15bo3bo10bo2bo16bo2bo30b3obo19b3obo17b3obo19b3obo19bo
3bo19bo3bo19bo3bo19bo3bo15bo$36b2o134bobo16b2o12bo2bo16bo2bo31bo3bo19b
o3bo17bo3bo19bo3bo19b2o22b2o22b2o22b2o18b4o$37bo2bo151bo2bo9bo4bo14bo
4bo30b2o22b2o20b2o22b2o22bo2bo20bo2bo20bo2bo20bo2bo15bo$38bobo152bobo
10b4o16b4o32bo2bo20bo2bo18bo2bo20bo2bo20bobo21bobo21bobo21bobo17b2o$
207bo19bo35bobo21bobo19bobo21bobo112b4o$208b2o18b2o221bo$209bo2bo16bo
2bo$210bobobo15bobo$213bo5$31bo19bo$28bobobo15bobobo201bobo13bobo$27bo
2bo16bo2bo169bo32bo2bo12bo2bo23bobo15bobo$26b2o18b2o127bobo18bobo18bob
obo30b2o14b2o25bo2bo14bo2bo$25bo19bo128bo2bo17bo2bo17bo2bo31bo15bo26b
2o16b2o90bo23bo$24b4o16b4o20bobo21bobo78b2o19b2o19b2o33b4o12b4o23bo4bo
12bo4bo12bobo21bobo21bobo21bobobo19bobobo19bobo$23bo4bo14bo4bo18bo2bo
20bo2bo77bo4bo15bo3bo16bo4bo18bobo8bo4bo10bo4bo21b5obo11b5obo11bo2bo
20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo$23bo2bo16bo2bo19b2o22b2o79b5obo14b
3obo16b5obobo15bo2bo8bo2bo12bo2bo20b2o16b2o18b2o22b2o22b2o22b2o22b2o
22b2o$23bo2bo16bo2bo18bo23bo78b2o19b2o19b2o8bo15b2o11bo2bo12bo2bo19bo
3b3o11bo3b3o13bo23bo23bo23bo23bo23bo$24bo19bo19b4o20b4o75bo3b3o14bo3b
5o12bo3b3o19bo3bo10bo15bo20bo3bo13bo3bo15b4o20b4o20b4o8bo11b4o20b4o8bo
11b4o$25b4obo14b4obo12bo4bo18bo4bo73bo3bo16bo3bo16bo3bo21b3obo12b4obo
10b4obo14bo5bo11bo5bo12bo4bo6bo11bo4bo6bo11bo4bo6bobo9bo4bo6bo11bo4bo
6bobo9bo4bo6bo$26bo3bo15bo3bo12bo2bo20bo2bo75bo5bo14bo5b2o13bo5bo16b2o
19bo3bo11bo3bo14bo2bo2bo11bo2bo2bo12bo2bo5b2obo11bo2bo5b2obo11bo2bo5b
2obo11bo2bo5b2obo11bo2bo5b2obo11bo2bo5b2obo$obobo3bobobo14bo19bo15bo2b
o20bo2bo49bobobo3bobobo13bo2bo2bo14bo2bo2b4obo9bo2bo2bo15bo3b5o14bo15b
o18bobo2b2obo9bobo2b2obo9bo2bo5bo14bo2bo5bo14bo2bo5bo14bo2bo5bo14bo2bo
5bo14bo2bo5bo$27bobo17bobo14bo23bo78bobo2b2obo12bobo5b2o11bobo2b2obo
11bo3bo19bobo13bobo24bo17bobo8bo7bo15bo7bo15bo7bo15bo7bo15bo7bo15bo7bo
$o7bo3bo52b4o20b4obo49bo7bo22bobo20bo18bo11bo5b2o50b3o15b3o7bo10b4obo
18b4obo18b4obo18b4obo18b4obo18b4obo$26b3o17b3o23bobo15bo3bo71b3o7bo10b
3o18b3o18b3o3b4o13b3o13b3o16b2o16b2o20bo3bo19bo3bo19bo3bo19bo3bo19bo3b
o19bo3bo$obobo3bobobo13b2o18b2o17bobo2b2o2bob2o13bo52bo3bobobo13b2o19b
2o19b2o20bo7bo13b2o14b2o17b2o16b2o21bo23bo23bo11bo11bo11bo11bo23bo$26b
2o18b3o15b2o4b2o19b6o7bo61b3o18b3o18b3o19b2o20b3o13b3o16b3o15b3o20b5o
8bo10b5o6bo12b5o6bobo10b5o6bobo10b5o6bo12b5o6bo$o3bo3bo3bo13b3o36b2o7b
o27b2o40bo7bo77bobo106b2o20b2o21b2obo20b2obo20b2obo20b2obo$47bobo16b7o
bo18b3o3b4obo62bobo18bobo18bobo18b2o2bo18bobo13bobo16bobo15bobo21b3o3b
4obo10b3o3b4obo14b3o3bo17b3o3bo17b3o3bo17b3o3bo$obobo3bobobo14bobo17bo
19bobo6bo16bo5b2o43bo3bobobo14bo20bo20bo21bobo8bo10bo15bo18bo17bo23bo
5b2o14bo5b2o18bo5bo17bo5bo17bo5bo17bo5bo$27bo18bo3bo19b5obo16bo3bo68bo
3bo16bo3bo16bo3bo26b2obo9bo3bo11bo3bo14bo3bo13bo3bo20bo3bo17bo3bo21bo
3bo19bo3bo19bo3bo19bo3bo$26bo3bo14b4obo19bo23bo3b5o62b4obo15b4obo15b4o
bo18b2o6bo11b4obo10b4obo13b4obo12b4obo21bo3b5o13bo3b5o17bo3b3o17bo3b3o
17bo3b3o17bo3b3o$25b4obo13bo26b3obo19b2o67bo20bo20bo24bo2bo4bo10bo15bo
18bo17bo28b2o20b2o24b2o22b2o22b2o22b2o8bo$24bo18bo2bo25bo3bo21b3obo60b
o2bo17bo2bo17bo2bo23bo4bo11bo2bo12bo2bo15bo2bo14bo2bo29b3obo17b3obo21b
5obo17b5obo17b5obo17b5obobo$23bo2bo16bo2bo26b2o24bo3bo59bo2bo17bo2bo
17bo2bo23b4obo11bo2bo12bo2bo15bo2bo14bo2bo30bo3bo17bo3bo21bo4bo18bo4bo
18bo4bo18bo4bo$23bo2bo16bo4bo25bo2bo22b2o61bo4bo15bo4bo15bo4bo23bo14bo
4bo10bo4bo6bo6bo4bo12bo4bo29b2o20b2o24b2o22b2o22b2o22b2o$23bo4bo15b4o
27bobo23bo2bo59b4o17b4o17b4o25b4o11b4o12b4o4b2obo7b4o14b4o31bo2bo18bo
2bo22bo2bo20bo2bo20bo2bo20bo2bo$24b4o17bo56bobo60bo20bo20bo27bo15bo15b
o6bo11bo17bo34bobo19bobo23bobo21bobo21bobo21bobobo$25bo20b2o118b2o19b
2o19b2o27b2o13b4obo10b2o4bo12b2o16b2o155bo$26b2o19bo2bo116bo2bo17bo2bo
17bo2bo24b4o11bo3b2o11bo2bo15bo2bo14bo2bo$27bo2bo17bobobo115bobobo16bo
bo18bobo27bo13b2o14bobo2bo13bobobo13bobo$28bobo20bo119bo82b4o15bobo16b
o$257bo27$99bobo$49bobo20bobo23bo2bo14bobo18bobo88bo142bobo18bobo$48bo
2bo19bo2bo22b2o16bo2bo17bo2bo16bobo21bo23bo20b4o23bo23bo23bo23bo28bo
16bo2bo17bo2bo$35bo11b2o21b2o24bo3bo13b2o19b2o16bobo2bo18bobobo19bobob
o19b2o22bobobo19bobobo19bobobo19bobobo24bobobo14b2o19b2o$32bobobo9bo
22bo25b3obo13bo4bo15bo4bo12bo2bo20bo2bo20bo2bo19bo3b2o19bo2bo20bo2bo
20bo2bo20bo2bo25bo2bo15bo4bo15bo4bo$31bo2bo10b4o19b4o20b2o18b5obo14b5o
bo11b2o4bo17b2o22b2o22b4obo18b2o22b2o22b2o22b2o27b2o17b5obo14b5obo$30b
2o12bo4bo6bo10bo4bo6bo11bo3b5o9b2o19b2o18bo6bo16bo23bo23bo23bo23bo23bo
23bo28bo4bo11b2o19b2o$29bo14bo2bo5b2obo10bo2bo5b2obo10bo3bo13bo3b3o14b
o3b3o13b4o4b2obo12b4o8bo11b4o8bo11b4o20b4o20b4o20b4o20b4o25b5obobo8bo
3b3o14bo3b3o$28b6o10bo2bo5bo13bo2bo5bo13bo5b2o9bo3bo16bo3bo15bo4bo6bo
11bo4bo6bobo9bo4bo6bobo9bo4bo18bo4bo18bo4bo18bo4bo18bo4bo21b2o8bo8bo3b
o16bo3bo$25b2o7bo10bo7bo14bo7bo13bo2bo2b4o7bo5bo14bo5bo13bo2bo20bo2bo
5b2obo11bo2bo5b2obo11bo2bo20bo2bo20bo2bo20bo2bo20bo2bo22bo3b3o13bo5bo
14bo5bo$obobo3bo3bo11bo3b3obo13b4obo17b4obo16bobo5bo7bo2bo2bo14bo5bo
13bo2bo20bo2bo5bo14bo2bo5bo14bo2bo20bo2bo20bo2bo20bo2bo20bo2bo21bo3bo
16b3o3bo14b3o3bo$23bo3bo4bo14bo3bo18bo3bo33bobo2b2obo12b2o3b2obo11bo
23bo7bo15bo7bo15bo23bo23bo23bo23bo23bo5bo15bo4b2obo12bo4b2obo$4bo3bo3b
o10bo5bo4bo13bo22bo18b3o23bo20bo12b4obo18b4obo18b4obo18b4obo18b4o20b4o
11bo8b4o20b4o19b3o3bo15b2o6bobo10b2o6bo$23b3o3b5o14b5o18b5o14b2o15b3o
19bobo19bo3bo19bo3bo19bo3bo19bo3bo25bobo4bo16bobo4bobo14bobo21bobo5bo
8bo4b2obo12bobo6bo11bobo$4bo3bobobo77b2o15b2o19b2o2bo19bo23bo23bo23bo
21bobo2b2o2bob2obobo7bobo2b2o2bob2obo9bobo2b2o2bob2obo9bobo2b2o2bob2ob
obo7b2o6bo12b2o2bo16b2o2bo8bo$23b3o3b5o14b5o16b5o16b3o14b3o18bobo21b6o
18b5o19b5o19b6o15b2o4b2o8bo7b2o4b2o16b2o4b2o7bobo6b2o4b2o7bo9bobo19bob
o8bo9bobo8bobo$4bo7bo10bo5bo4bo13bo20bo46bo11b2o6bo26bo23bo21bo25bo10b
2o7bo14b2o7bo14b2o7bo5bo8b2o7bo14b2o2b2obo22b2obo17b2obo$23bo3bo4bo14b
o3bo16bo3bo18bobo14bobo2b2obo11bo4b2obo17b3o3b4o14b3o3b4o12b3o3b4o16b
3o3b4o11b7obo15b7obo15b7obo15b7obo15bob3obobo12b2o6bo12b2o6bo$4bo7bo
11bo3b3obo13b4obo15b4obo18bo15bo2bo2bo13b3o3bo20bo5b2o16bo5b2o14bo5b2o
18bo5b2o14bobo6bo14bobo6bo14bobo6bo14bobo6bo20bo13bo2bo4bo12bo2bo4bo$
25b2o7bo10bo7bo12bo7bo15bo3bo12bo5bo13bo5bo20bo3bo19bo3bo17bo3bo21bo3b
o20b5obo17b5obo17b5obo17b5obo15b5obo13bo4bo15bo4bo$28b6o10bo2bo5bo11bo
2bo5bo14b4obo12bo3bo15bo3bo23bo3b5o15bo3b5o13bo3b5o17bo3b5o15bo23bo23b
o23bo22bo4bo13b4obo15b4obo$29bo14bo2bo5b2obo8bo2bo5b2obo10bo19bo3b3o
13bo3b3o21b2o22b2o20b2o24b2o22b3obo19b3obo19b3obo19b3obo18b3o17bo20bo$
30b2o12bo4bo6bo8bo4bo6bo9bo2bo18b2o18b2o28b3obo19b3obo17b3obo21b3obo
17bo3bo19bo3bo19bo3bo19bo3bo17bo3bo16b4o17b4o$31bo2bo10b4o17b4o17bo2bo
21b5obo13b5obo21bo3bo19bo3bo17bo3bo21bo3bo17b2o22b2o22b2o22b2o21b3o16b
o20bo$32bobobo9bo20bo19bo4bo20bo4bo14bo4bo22b2o22b2o20b2o24b2o20bo2bo
20bo2bo20bo2bo20bo2bo18b4o17b2o19b2o$35bo11b2o19b2o18b4o22b2o18b2o26bo
2bo20bo2bo18bo2bo22bo2bo18bobo21bobo21bobo21bobo21bo17b4o17b4o$48bo2bo
17bo2bo16bo25bo2bo16bo2bo24bobo21bobo19bobo23bobo135bo20bo$49bobo18bob
o17b2o24bobo17bobo$91bo2bo$92bobobo$95bo6$28bobo21bo17bobo21bo134bo$
27bo2bo18bobobo15bo2bo18bobobo16bobo71bo20bo18bobobo$26b2o20bo2bo16b2o
20bo2bo17bo2bo26bobo18bobo18bobobo16bobobo16bo2bo60bobo18bobo20bobo
270bobo$25bo21b2o18bo21b2o19b2o28bo2bo17bo2bo17bo2bo17bo2bo17b2o62bo2b
o17bo2bo19bo2bo18bo49bo49bo74bo75bo2bo$24b4o18bo19b4o18bo20bo29b2o19b
2o19b2o19b2o19bo4bo58b2o19b2o21b2o18bobobo20bobo22bobobo20bobo22bobobo
20bobo22bobo22bobobo20bobo22bobo25b2o$23bo4bo16b4o16bo4bo16b4o17b4o26b
o3bo16bo4bo15bo4bo15bo4bo15b5obobo15bobo19bobo15bo3bo16bo3bo18bo3bo15b
o2bo21bo2bo21bo2bo21bo2bo21bo2bo21bo2bo21bo2bo21bo2bo21bo2bo21bo2bo24b
o4bo$23bo2bo17bo4bo15bo2bo17bo4bo15bo4bo24b3obo16b5obo14b5obobo12b5obo
bo10b2o8bo15bo2bo18bo2bo14b3obo16b3obo18b3obo15b2o23b2o23b2o23b2o23b2o
23b2o23b2o23b2o23b2o23b2o26b5obo$23bo2bo17bo2bo17bo2bo17bo2bo17bo2bo
23b2o19b2o19b2o8bo10b2o8bo10bo3b3o19b2o20b2o14b2o19b2o21b2o20bo24bo24b
o24bo24bo24bo24bo24bo24bo24bo25b2o$24bo19bo2bo18bo19bo2bo17bo2bo22bo3b
5o12bo3b3o14bo3b3o14bo3b3o14bo3bo21bo3bo17bo15bo3b5o12bo3b5o14bo3b5o
13b4o21b4o8bo12b4o21b4o8bo12b4o21b4o8bo12b4o21b4o8bo12b4o21b4o22bo3b3o
$25b4obo14bo21b4obo14bo20bo23bo3bo16bo3bo16bo3bo16bo3bo17bo5bo18b3obo
17b6o10bo3bo16bo3bo18bo3bo17bo4bo6bo12bo4bo6bobo10bo4bo6bo12bo4bo6bobo
10bo4bo6bo12bo4bo6bobo10bo4bo6bo12bo4bo6bobo10bo4bo19bo4bo20bo3bo$26bo
3bo15b4obo16bo3bo15b4obo15b4obo17bo5b2o13bo5bo14bo5bo14bo5bo15bo2bo2bo
15b2o20b2o7bo9bo5b2o13bo5b2o15bo5b2o14bo2bo5b2obo12bo2bo5b2obo12bo2bo
5b2obo12bo2bo5b2obo12bo2bo5b2obo12bo2bo5b2obo12bo2bo5b2obo12bo2bo5b2ob
o12bo2bo21bo2bo22bo5bo$27bo19bo3bo17bo19bo3bo16bo3bo17bo2bo2b4obo9bo2b
o2bo14bo2bo2bo14bo2bo2bo16bobo2b2obo11bo3b5o13bo3b3obo11bo2bo2b4o11b3o
3b4o13bo5b4o12bo2bo5bo15bo2bo5bo15bo2bo5bo15bo2bo5bo15bo2bo5bo15bo2bo
5bo15bo2bo5bo15bo2bo5bo15bo2bo21bo2bo22b3o3bo$obobo3bobobo14bobo18bo
20bobo18bo20bo21bobo5b2o11bobo2b2obo12bobo2b2obo12bobo2b2obo21bo10bo3b
o17bo3bo4bo12bobo5bo12bo7bo14b2o6bo13bo7bo16bo7bo16bo7bo16bo7bo16bo7bo
16bo7bo16bo7bo16bo7bo16bo17bo6bo25bo4b2obo$48bobo39bobo18bobo29bo18bob
o18bo20bobo10b3o17bo5b2o14bo5bo4bo31b2o44b4obo19b4obo19b4obo19b4obo19b
4obo19b4obo19b4obo19b4obo19b4o10b4o7b4o21b2o6bo$4bo3bo17b3o39b3o61b3o
18b3o7bo10b3o18b3o7bo11b2o18b3o3b4o12b3o3b5o10b3o19bobo20bobo21bo3bo
20bo3bo20bo3bo20bo3bo20bo3bo20bo3bo20bo3bo20bo3bo26bobo4b2o16bobo15bob
o$26b2o19b3o18b2o19b3o18b3o19b2o19b2o19b2o19b2o20b2o19bo7bo33b2o20b2o
2bo17b2o2bo21bo24bo24bo24bo24bo24bo24bo11bo12bo11bo10bobo2b2o2bob2o12b
obo2b2o2bob2o12b2o2bo$4bo3bobobo13b2o19b2o19b2o19b2o19b2o20b2o19b2o19b
3o18b3o19b3o18b2o19b3o3b4obo9b3o20bobo18bobo23b5o8bo11b5o8bo11b5o6bo
13b5o6bo13b5o6bo13b5o6bo13b5o6bobo11b5o6bobo8b2o4b2o17b2o4b2o7b2o10bob
o8bo$26b3o18b3o18b3o18b3o18b3o19b3o18b3o82bobo18bo5bo3b2o18bo21bo12b2o
6bo28b2o23b2o21b2o23b2o22b2obo21b2obo21b2obo21b2obo11b2o7bo15b2o7bo4b
4o16b2obo$4bo7bo162bobo18bobo19bobo17b2o2bo8bo7bo3bo4b2o11bobo2b2obo
13b2o3b2obo12bo4b2obo19b3o3b4obo13b3o3b4obo11b3o3b4obo13b3o3b4obo15b3o
3bo18b3o3bo18b3o3bo18b3o3bo15b7obo16b7obo7bo8b2o6bo$27bobo18bobo18bobo
18bobo18bobo19bobo18bobo18bo20bo21bo20bobo8bobo7bo3b3ob2o10bo2bo2bo15b
o5bo14b3o3bo22bo5b2o17bo5b2o15bo5b2o17bo5b2o19bo5bo18bo5bo18bo5bo18bo
5bo16bobo6bo15bobo6bo14bo2bo4bo$4bo3bobobo14bo20bo20bo20bo20bo21bo20bo
19bo3bo16bo3bo17bo3bo25b2obo10b2o7b2o8bo5bo15bo5bo14bo5bo22bo3bo20bo3b
o18bo3bo20bo3bo22bo3bo20bo3bo20bo3bo20bo3bo21b5obo18b5obo15bo4bo$26bo
3bo16bo3bo16bo3bo16bo3bo16bo3bo17bo3bo16bo3bo15b4obo15b4obo16b4obo17b
2o6bo16b6obo8bo3bo17bo3bo16bo3bo25bo3b5o16bo3b5o14bo3b5o16bo3b5o18bo3b
3o18bo3b3o18bo3b3o18bo3b3o18bo24bo21b4obo$25b4obo15b4obo15b4obo15b4obo
15b4obo16b4obo15b4obo14bo20bo21bo23bo2bo4bo17bo15bo3b3o15bo3b3o14bo3b
3o23b2o23b2o21b2o23b2o25b2o8bo14b2o8bo14b2o8bo14b2o23b3obo20b3obo18bo$
24bo20bo20bo20bo20bo21bo20bo19bo2bo17bo2bo18bo2bo22bo4bo20b2o14b2o20b
2o19b2o30b3obo20b3obo18b3obo20b3obo22b5obobo16b5obobo16b5obobo16b5obo
16bo3bo20bo3bo18b4o$23bo2bo17bo2bo17bo2bo17bo2bo17bo2bo18bo2bo17bo2bo
17bo2bo17bo2bo18bo2bo22b4obo21bo2bo14b5obo15b5obo14b5obo23bo3bo20bo3bo
18bo3bo20bo3bo22bo4bo19bo4bo19bo4bo19bo4bo17b2o23b2o20bo$23bo2bo17bo2b
o17bo2bo17bo2bo17bo2bo9bo8bo2bo17bo2bo17bo4bo15bo4bo16bo4bo22bo25bobo
15bo4bo16bo4bo15bo4bo24b2o23b2o21b2o23b2o25b2o23b2o23b2o23b2o21bo2bo
21bo2bo19b2o$23bo4bo15bo4bo15bo4bo6bo8bo4bo6bo8bo4bo6bobo7bo4bo15bo4bo
16b4o17b4o18b4o24b4o40b2o20b2o19b2o28bo2bo21bo2bo19bo2bo21bo2bo23bo2bo
21bo2bo21bo2bo21bo2bo19bobo22bobo19b4obo$24b4o17b4o17b4o4b2obo9b4o4b2o
bo9b4o4b2obo10b4o17b4o18bo20bo21bo26bo44bo2bo18bo2bo17bo2bo26bobo22bob
o20bobo22bobo24bobobo20bobobo20bobobo20bobo69b2o$25bo20bo20bo6bo13bo6b
o13bo6bo14bo20bo21b2o19b2o20b2o26b2o42bobo19bobo18bobo129bo24bo24bo95b
o$26b4obo15b4obo15b2o4bo14b2o4bo14b2o4bo15b2o19b2o20bo2bo17bo2bo18bo2b
o23b4o$26bo3b2o15bo3b2o16bo2bo17bo2bo17bo2bo18bo2bo17bo2bo18bobobo16bo
bo19bobo26bo$28b2o19b2o19bobo2bo15bobo2bo15bobo2bo16bobo18bobobo19bo$
28b4o17b4o20bobo18bobo18bobo40bo$31bo20bo!
I've done complete searches up to width-26 (asymmetric) for p2 ships below 76 cells.
-Matthias Merzenich

Sokwe
Moderator
Posts: 2880
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » May 7th, 2018, 12:01 am

I ran what I think is a complete search for (2,0)c/4 spaceships up to width-13 (asymmetric) with a minimum population of no more than 50 cells using Nicolay Beluchenko's version of WLS (available here). Here are the new ships, with a few extras having widths up to 15:

Code: Select all

x = 101, y = 281, rule = B3/S23
obobo3bobobo20b2o4b5o$31bo6bo5bo$4bo3bo21bo6bo$30bo13bo$obobo3bobobo
17b8o$35b2o$4bo3bo3bo2$obobo3bobobo18b2o$30b2ob2o$31b4o$32b2o16$32b2o$
31b4o$30b2ob2o$obobo3bobobo18b2o2$4bo3bo3bo23bo$36b2ob2o$obobo3bobobo
22bo5bo$35bo$4bo7bo23bo$37b2obo$obobo3bobobo17b4o5b5o$30bo3bo7bo$30bo$
31bo2bo18$31b4o$3bo3bo4bo18bo3bo$31bo6b2o$3bo3bo4bo19bo2bo2b3obo$37bo
2b2obo$3bobobo4bo24b2obo$40bo7bo$7bo4bo28bo$33b4o5bo5bo$7bo4bo20bo3bo
5b5o$33bo$34bo2bo18$31b2obo$30bo3bo$o3bo3bobobo17bo$30b2obo2bo$o3bo7bo
24bo$32b2obo$obobo3bobobo21bo$35bo4bobo$4bo7bo20b2obobobo2bobo$42b4o$
4bo3bobobo18b2obo2bo5bo3bo$31bo13bo$31bo3bo9bo$32b2obo19$o3bo3bo3bo25b
2o$31b2o5b2o$o3bo3bo3bo17b2ob4o$31b5o3bobo$obobo3bobobo19b3o4bo3b2o$
40b2o3bo$4bo7bo28bo$31b6o5bobo$4bo7bo18bo5bo$31bo$32bo4bo$34b2o19$o3bo
3bobobo39bo2bo$30b4o4b2o4bo6bo12bobo$o3bo3bo21bo3bo2bo3b2obo6bo3bo7bo$
30bo6bo4bo8b4o7b2o3bo$obobo3bobobo18bo2bo2b3ob2o14b3obo3b2o$34bo5b3o
14b2o3b2o$4bo3bo3bo18bo3bo21bo$30bo26b2o$4bo3bobobo17bo4bo$30b5o3b4o
11bo2bo3b4o$38bo3bo9bo7bo3bo$38bo13bo3bo3bo$39bo2bo9b4o5bo2bo17$82bo2b
o11bo2bo$o3bo3bobobo18b4o7bo12b4o7bo14bo14bo$31bo3bo5bobo11bo3bo5bobo
13bo3bo10bo3bo$o3bo7bo18bo23bo11bo13b4o11b4o$32bo2bo2bob2obo12bo2bo2bo
b2o24b2obo$obobo7bo24b2o22b2o24bob5o$36bo23bo25bo7bo$4bo7bo23bo2bo2bo
17bo2bo2bo17b2o4b2o$32b2o3bobobo2bobo9b2o3bobobo2bobo11bo5b3o2bo$4bo7b
o18b4o3bo3b3obo8b4o3bo3b3obo10bo9bo$30b2ob2o7b3o9b2ob2o7b3o12bo4bo$31b
2o22b2o24b5o18$31bo2bo19bo2bo5bo$30bo22bo7bo3bo$o3bo3bobobo17bo3bo18bo
3bo2bo$30b4o4bo14b4o3bo4bo$o3bo3bo3bo23b2obobo18b5o$36bo3b2o$obobo3bob
obo23b5obo15bo$37b2o18b3obo$4bo3bo3bo43b2o2b2o$33b2o3bob4o13bobobob2o$
4bo3bobobo19b4o3bo4bo13bo2bob3obo$31b2ob2o3bo20b2ob3o2b2o$32b2o6bo3bo
17bo$42bo16$56bo$55bo5bo$33b2o4b4o12bo6bo3b4o$o3bo3bobobo18bo6bo4bo11b
5ob2o2bo4bo$30bo6bo24bo$o3bo3bo3bo17bo28b2o3b2o4bo$30b8o21b2o$obobo3bo
bobo22b2o5b2o15b2o$41b2ob3o12b2o$4bo7bo29b5o13bo$31b2o10b3o11b2obobo$
4bo3bobobo17b2ob2o22bo2b3o$31b4o22bo$32b2o24b6o$60bob2o18$30b4o4b2o$ob
obo3bobobo17bo3bo2bo3b2ob2o$30bo6bo4bo$o7bo3bo18bo2bo2b3ob2o3bo$34bo5b
3o2bobo$obobo3bo3bo18bo3bo9bo$30bo$4bo3bo3bo17bo4bo$30b5o3b4o$obobo3bo
bobo25bo3bo$38bo$39bo2bo!
And here is a collection of all of the small, "unique" c/2 ships up to 50 cells:

Code: Select all

#C A collection of c/2 spaceships (of any period) up
#C to 50 cells. Spaceships that consist entirely of
#C components found in smaller ships are not included.
#C 
#C Discovery credits:
#C BG = Bill Gosper
#C DB = David Bell
#C DH = Dean Hickerson
#C HH = Hartmut Holzwart
#C JC = John Conway
#C JS = Jason Summers
#C MM - Matthias Merzenich
#C MN = Mark Niemiec
#C PS = Paul Schick
#C TC = Tim Coe
#C
#C  9 JC        1970 "Lightweight spaceship (LWSS)"
#C 11 JC        1970 "Middleweight spaceship (MWSS)"
#C 13 JC        1970 "Heavyweight spaceship (HWSS)"
#C 24 HH 21 Jul 1992 "Sidecar"
#C    ??
#C 28 HH 23 Feb 2001
#C    TC 26 Oct 1995 "Coe ship"
#C 30 DB 11 Jul 1992
#C    ??
#C    HH 24 May 2002
#C 31 DB 13 Aug 1992 (using OWSS; MWSS support found by DB on 16 Aug 1992)
#C    JS 29 Oct 2000
#C    ??             "Overweight spaceship (OWSS)"
#C    ??             "OWSS 2"
#C 32 HH 21 Jul 1992
#C    HH  5 Jan 1993 "Big A"
#C    JS  8 Apr 2006
#C 33 ??             "OWSS 3"
#C    ??
#C 34 HH 10 Jul 1992 "x66"
#C 35 ??             "OWSS 4"
#C 36 ??
#C    MM  6 May 2018
#C 37 ??
#C 38 HH 17 Jul 1992
#C    BG 21 Aug 1992
#C    JS 29 Oct 2000
#C 39 ??             "OWSS 5"
#C    TC 26 Oct 1995
#C    MM  6 May 2018
#C    MN 19 Mar 1997
#C    PS        1972
#C    ??
#C 40 HH 25 Jun 1993 (using OWSS; LWSS support found by HH on 29 Jun 1993)
#C    ??
#C 41 HH 22 Jul 1994
#C    HH  6 Sep 2002
#C    HH 26 Nov 2002
#C    MM  6 May 2018
#C 42 HH 10 Jul 1992 "Hivenudger"
#C    MN 21 Oct 1997
#C    HH 17 Dec 2004
#C 43 ??             "OWSS 6"
#C    ??
#C    HH 12 Mar 2001
#C    HH 17 Dec 2004
#C    HH 21 Jul 1992
#C    ??
#C    HH 27 Dec 2002
#C    MM  6 May 2018
#C 44 MM  6 May 2018
#C 45 ??
#C    JS  4 Feb 2002
#C    HH 12 Mar 2001
#C    HH  6 Sep 2002
#C 46 ??
#C    ??
#C    HH  2 Jul 1993
#C    MM  6 May 2018
#C    MM  6 May 2018
#C 47 ??
#C    JS  3 Oct 1999
#C    HH 22 Jan 1993
#C    HH 24 May 2002
#C    MM  6 May 2018
#C    MM  6 May 2018
#C    MM  6 May 2018
#C 48 HH 21 Jul 1992
#C    ?? before 23 Sep 1995
#C    ??
#C    HH 12 Mar 2001
#C    MM  6 May 2018
#C    MM  6 May 2018
#C 49 ?? before 23 Sep 1995
#C    MM  6 May 2018
#C    MM  6 May 2018
#C 50 HH 17 Dec 2004
#C    MM  6 May 2018
x = 647, y = 138, rule = B3/S23
383bo172bo2bo$367b5o9bo3bo169bo$125b4o12b4o222bo4bo7bo174bo3bo$125bo3b
o11bo3bo36b4o181bo12bo4bo169b4o$125bo15bo40bo3bo181bo3bo7b5o132bo2bo$
98b2obo7b4o2b2o9bo2bo12bo2bo36bo188bo21b4o119bo$8bobobo64bobobo4bo8b3o
3bo7bo3b2o15bo29bobobo3bobobo10bo2bo14b2o4b5o112bo3bo4bo19bo5bo33bo3bo
92bo3bo3bobobo13bo3bo71bo2bo$95bo13bo5bo2bo7bo5bo7bo6bo39bo11bo6bo5bo
140bo13bob2obo10bo9bo6b2o114b4o21bo2bo10b7o8b4o4b2o4bo6bo12bobo$8bo3bo
68bo4bo8bo6bo7bo7bo6bo13bo24bo3bo14bo5bo8bo6bo118bo3bo4bo14b3o2bo5bo6b
2o2bo10b3o10bo2bo2b3obo85bo3bo3bo40b3o2bo2b2o6bo6bo7bo3bo2bo3b2obo6bo
3bo7bo$22bo2bo70b3o3bo9bo2bo3bo5bo6bo6bo7bo34bo15bo13bo135b3o3b5o6b2ob
o2bo8b2obo15bo2b2obo116bo15bo5bo10bo14bo6bo4bo8b4o7b2o3bo$8bobobo8bo
55bobobo4bo12b2o13b2o2bo6b7o7b8o13bobobo3bobobo9bo6bo8b8o118bobobo4bo
10b2o3b2o15bo12b2o2b2ob2o11b2obo87bobobo3bobobo23b2o9b2ob3o2bo10bo5bo
8bo2bo2b3ob2o14b3obo3b2o$21bo3bo87bo68b7o14b2o138b2ob2o19bobo10bo3bo
17bo7bo109b2o3b3o10b2o5bo28bo5b3o14b2o3b2o$12bo8b4o56bo4bo24bo4bo47bo
3bo3bo155bo4bo10b6o18bo12bobo19bo90bo3bo3bo16bobo17bo8bo10b2o10bo3bo
21bo$101b2o7bo234b3o3bo17bo13bo11b4o5bo5bo107b2o2b2o2b2o12b2o3b4o9bo2b
o8bo26b2o$8bobobo64bobobo4bo13b2ob3o4bo4bo9b4o12b4o15bobobo3bobobo9bo
2bo13b2o127bo4bo13bo19b2obo24bo3bo5b5o84bo3bobobo16b2o4b2obo12b5ob2o8b
2ob3o7bo4bo$101b5o4b5o10bo3bo11bo3bo35bo3bob2o9b2ob2o144bo3bo20bo22bo
124bob2ob2o31b2o3bo6b5o3b4o11bo2bo3b4o$102b3o20bo15bo39bo3bo13b4o144b
4o14b2obo2bo8b2o14bo2bo121b2o13b2o21bo18bo3bo9bo7bo3bo$126bo2bo12bo2bo
35b2obo2bo12b2o163bo13b2ob2o151b2ob2o20b3o15bo13bo3bo3bo$365bo3bo10b4o
133bo2bo15b4o39bo2bo9b4o5bo2bo$183b2o181b2obo11b2o133bo20b2o$516bo3bo
38b4o$516b4o39bo3bo$5bo5bo547bo$560bo2bo$5bo5bo12bo$22bo3bo$5bo5bo9bo$
21bo4bo101b4o53b2obo176b6o13b2o$5bo5bo9b5o74b2o10b4o12bo3bo27bobobo3bo
bobo11bo3bo155b4o5bo2bo8bo5bo11b2ob4o$98bo4bo8bo3bo11bo55bo159bo3bo3bo
12bo18b6o$5bo5bo85bo14bo16bo2bo31bo7bo11b2obo156bo7bo3bo9bo4bo13b4o$
77bobobo3bobobo7bo5bo9bo2bo75bo129bo3bo3bobobo10bo2bo3b4o12b2o$97b6o
57bobobo7bo13b2obo2b2o173b3o165bo$81bo7bo27b4o10b2o5b2o48b2ob2obo127bo
3bo7bo14b2o15b5o14b2o146bo37b2o$102bobo11bo2bo10bobo3bo27bo7bo12bo3bob
2obo154b2o14b2ob4o9b2ob2o129bo2bo13bo6bo29bo4bo$77bobobo3bobobo11bo2bo
11bo2bo10bo6bobo43bo3bo3b2o129bobobo3bobobo14b2o15b2o12bo4b2o127bo17bo
6bo10b2ob6o9bo$102bo13bo2bo10b3o5bo21bobobo7bo9bo197bo133bo3bo13b6obo
9b4o6bo8bo5bo53bo2bo11bo2bo$81bo3bo14b2o2bo12b4o61bo4bo138bo3bo14bo2bo
3b4o24b2ob2o129b4o30b2o18b6o8b4o7bo11b4o7bo10bo14bo$98bo5bo77b5o157bo
7bo3bo26bo106bo3bo3bobobo19bobo12b2o10bo9bo22bo3bo5bobo10bo3bo5bobo9bo
3bo10bo3bo$77bobobo3bobobo7bo15bo2bo209bo3bobobo9bo3bo3bo12b6o7bo3bo
138bo3bo10bo13b3obo27bo22bo11bo9b4o11b4o$2bo5bobobo84bo5bo8bo231b4o5bo
2bo8bo5bo5bo112bo3bo7bo17bobo16bo12bo30bo2bo2bob2obo11bo2bo2bob2o20b2o
bo$97b6o9bo3bo11b4o233bo11bo3bo135b3o6bo7b2o16bo18b2o15b2o21b2o20bob5o
$2bo9bo99b4o12bo3bo233bo4bo5b4o109bobobo7bo13bo7bobo6bo19bo13b6o14bo
22bo21bo7bo$24b2o102bo239b2o146bo6b2o8bo2bo15bo13bo4bo15bo2bo2bo16bo2b
o2bo13b2o4b2o$2bo5bobobo9bo4bo101bo2bo361bo7bo13b2ob2o3b2o7b2o17bo13bo
16b2o3bobobo2bobo8b2o3bobobo2bobo7bo5b3o2bo$21bo503bo9b2o13b3obo11b2ob
o12b4o3bo3b3obo7b4o3bo3b3obo6bo9bo$2bo9bo8bo5bo174bo291bo7bo15bo3bo26b
o9bo8b2o11b2ob2o7b3o8b2ob2o7b3o8bo4bo$21b6o173bo3bo315bob2o13b3o8b2o
19b2o11b2o21b2o20b5o$2bo5bobobo171b4o11bo315bo2bo4bo11bob3o9b4o6bo8bob
o$184bo3bo10bo4bo309bo18bo4bo11b2ob6o10b2o$160bobobo3bobobo11bo14b5o
13b4o2b2o289bo3bo13bo5bobo26bob2obo$185bo2bo28bo3b2o291b4o14bo4b2obo
25b2o$98b4o62bo3bo3bo16bo27bo5bo2bo152bo152b5o28b2o$98bo3bo80bo7bo26bo
7bo2b2o146bo3bo184bo2bo$98bo15bo2bo42bobobo3bobobo9bo17b2o18bo2bo5b2o
145bo190bobo$77bobobo3bobobo9bo2bo10bo68bo8bo7b2ob3o3bo13b2o2b3o2bo
114b2o12b6o10bo4bo18b2o$103bo9bo3bo46bo3bo3bo9b9o9b4o3bobo11bo7bo115b
4o11bo5bo9b5o17bo4bo5b4o13b5o13b2o$81bo7bo7bo7bo7b4o68bo15b2o16bo4bo
119b2ob2o11bo36bo11bo3bo12bo4bo11b4o$96bo63bobobo3bobobo7bo4b2o31bo
126b2o14bo4bo14b2o14bo5bo5bo16bo15b2ob2o11b2obo$77bobobo3bobobo6bo8bo
12b2o59bo5b2o17bo13bo4bo139bo2bo13b3o14b6o7bo2bo2bo10bo3bo11b2o12bo3bo
$obobo3bo3bo83b9o13b2o59bo3bobo16bo3bo11b5o99bo3bo3bobobo16b2o12b2o14b
o32b4o12bo26bo$21bo16b3o40bo7bo23bo2bo62b4o18bo141bo10bo9bo2bo42bo6bo
9bo2bob2o13bo9b2obo2bo82b4o11b4o$4bo3bo3bo7bo5bo10b5o70bo88bo4bo115bo
3bo7bo7bo20b2o18bobo23bo7bo8bo5b2obo10bobo15bo66b5o10bo3bo10bo3bo$20bo
5bo9b2ob3o35bobobo3bobobo22bo3bo2b5o77b5o136bo11bo7b3o18b2o16b2o6bo16b
o3bo2b2o10b2o12b2obo47b4o17bo4bo9bo14bo$obobo3bobobo7b5obo10b2o59b4o
10b4o3bo4bo197bobobo3bobobo7b12o9bob2o15bo15bo2bo7b7o10b4o14bo4bo11bo
48bo3bo16bo15bo3bo10bo3bo12bo2bo16bo2bo5bo$98bo3bo16bo244bo3bo14b2o12b
o3bo13b2ob2o12b3o8b2o17bo4bobo40bo21bo3bo15bo14bo10bo19bo7bo3bo$o11bo
11b2o8bo63bo21bo3bo201bo7bo29b2o17bobo7b2ob2ob2o14bo16b2o8b2ob3o12b2ob
obobo2bobo38bo2bo5bo13bo14b2ob2o10b2ob2o9bo3bo15bo3bo2bo$22bo4bo5bo65b
o2bo19bo223b2o20bo23bo4b2o16bob2o24b2o24b4o17bo3bo3bobobo11bo3b2obo27b
o14bo13b4o4bo11b4o3bo4bo$obobo7bo8bo11bo4bo287bo3bobobo10b4o32bo10bo
16b4o13b5o17b2o8b2obo2bo5bo3bo36bo3bo2b2o13b3o13bo4b2o8bo4b2o13b2obobo
15b5o$21bo5bo5b5o306b2ob2o11b6o14b3o9b2ob2o12bo3bo12bo4bo16b2o8bo13bo
17bo3bo3bo3bo7bo6bo4bo9bo17b2ob2obo8b2ob2o14bo3b2o$21b6o217bo2bo97b2o
13bo5bo14b2o12bo13bo16bo31bo3bo9bo37bo4bob3o2bo8b2o21bo14b2o13b5obo12b
o$183b5o36b2o17bo116bo29bo3bo15bo2bo13bo3bo10b5o12b2obo27bobobo3bobobo
7b5o3bobo9b2ob3o49b2o15b3obo$183bo4bo34b4o16bo3bo113bo4bo9b5o8bo39bo
12bo4bo69b2obo10bo5bo31b2o30b2o2b2o$183bo27b4o7b2ob2o16b4o15bo2bo97b2o
11bo4bo7bo3bo48bo51bo3bo3bo16bo12b3o2bo16bo10b2ob2o11b2o3bob4o10bobobo
b2o$184bo3bo22bo3bo7b2o36bo26b4o84bo12b4o50bo3bo72bo13bo15b2ob2obo7bo
4b2o9b4o3bo4bo10bo2bob3obo$189b2o10b6o3bo50bo3bo22bo3bo11b2o71bo3bo63b
o48bo3bobobo7b4o23bo11bo4b2o8bo14b2ob2o3bo17b2ob3o2b2o$160bobobo3bobob
o9bo9bo8bo5bob4o2bo12bo15b3o3bo10b4o9b2o12bo17bo72bo130bo3bo34bo14b2ob
2o11b2o6bo3bo14bo$23bo157bo19bo5bob2o17b2ob2o10b5o2bo16b3o5b2o12bo2bo
2b2o7b2o204bo21b2o15b2ob2o13bo22bo$21bo3bo51bobobo3bo3bo8bo65bo3bo3bo
8bo10bo9bo3bo20bo5bo8b2ob4obo16b2ob2o6b3o13b3o214bo2bo16b2ob4o14bo9bo
3bo$20bo75b2o83b11o12bo22bo15b2o22b3o5b2o12bo2bo2b2o235b6o9bo3bo9bo$ob
obo3bobobo7bo4bo9b6o40bo3bo3bo6bo2b3o2bo55bobobo3bobobo30b2o23bo32b4o
9b2o12bo244b4o9bo14bo3bo$20b5o10bo5b2o53bo4b3o98b4o23b2obo28bo3bo22bo
3bo253bo3bo10b4o$4bo3bo3bo22bo5bob2o32bobobo3bobobo7b3o2b2o60bo7bo28b
2ob2o16b4o5b5o25bo26b4o254b4o$25b2o9bo3bo142b5o14b2o18bo3bo7bo10b5o12b
o2bo32bo2bo$obobo3bobobo12b2o11bo42bo7bo7b3o2b2o56bobobo3bobobo10bo4bo
33bo22bo4bo46bo$37b2o57bo4b3o79bo39bo2bo18bo51bo3bo$o7bo3bo13b2o8b4o
37bobobo7bo6bo2b3o2bo79bo3bo57bo3bo46b4o21bo3bo3bo3bo15b2o$24bo4bo5b2o
b2o56b2o88bo61bo94b2o5b2o$obobo3bobobo10bo12b2o60bo223bo3bo3bo3bo7b2ob
4o$23bo5bo313b5o3bobo$23b6o293bobobo3bobobo9b3o4bo3b2o157b3o$352b2o3bo
155b5o$326bo7bo18bo158b2ob3o$343b6o5bobo156b2o35bo$326bo7bo8bo5bo199bo
5bo$99b4o80bo2bo156bo146bo3bo3bobobo14b2o11b2o4b4o9bo6bo3b4o$99bo3bo
78bo161bo4bo178bo6bo4bo8b5ob2o2bo4bo$56b2obo39bo82bo3bo12b4o3b2o138b2o
142bo3bo3bo3bo11b5o8bo6bo21bo$55bo3bo40bo2bo78b4o12b2o3b2o308b2o12bo
25b2o3b2o4bo$22bo12b4o5bo2bo7bo48b2o91b2o5bobo283bobobo3bobobo9b2o2b2o
9b8o18b2o$obobo3bobobo7b2o13bo3bo3bo11b2obo2bo15bobobo3bobobo8bo8bo52b
o3bo3bobobo14bo10bobobobo308bobo16b2o5b2o12b2o$20bo2b3o2bo6bo7bo3bo14b
o34bo89b2o10b2obo291bo7bo11b2o3bo18b2ob3o9b2o$4bo3bo3bo7bo4b3o8bo2bo3b
4o10b2obo20bo3bo11bo9bo52bo3bo3bo3bo12b2o15b2o335b5o10bo$21b3o2b2o31bo
37b10o77b2o15b3ob2o287bo3bobobo13b3o9b2o10b3o8b2obobo$obobo3bo3bo27b2o
16bo18bobobo3bobobo70bobobo3bo3bo10b2obo19bo320b2ob2o19bo2b3o$23b2o15b
obo13b2obo124bo330b2o11b4o19bo$4bo3bo3bo8bo4bo10bo23bo19bo7bo74bo3bo3b
o12bo2bo7b5o182bo2bo126bo4bo10b2o21b6o$20bo15bo17b2obo2bo38b4o83bobo7b
o4bo180bo129bo41bob2o$obobo3bobobo7bo5bo9bo3bo13bo22bobobo3bobobo9bo3b
o60bo3bobobo10b3o10bo185bo3bo125bo5bo$20b6o10b4o14bo3bo40bo82bobo12bo
3bo163b4o13b4o126b6o$55b2obo41bo2bo78bo4bobo9bo144b4o17bo3bo31b5o$182b
3obo157bo3bo16bo20b2o2bo10bo4bo$187bo2bo131bo3bo3bobobo9bo21bo2bo15bo
15bo$188b2o155bo2bo2bo18bo14bo2bo3bo9bo3bo$322bo3bo3bo18b4o13bo5bo12b
3obo2bo11bo$343bo8bo12bo23bo$322bobobo3bobobo7bo9bo12bo6bo17b2o11b3o$
342bo22b7o30bo$326bo7bo7b9o36bo5bo7b2o117b6o$350b2ob2o31bo13b2ob3o114b
o5bo$326bo3bobobo15bo19bo15bo6bo7bo6bo111bo$350bob2o15b2o2b4o9b7o9b4o
115bo4bo$344b4o22bo3bo29bo2b2o117bo9b4o4b2o$344bo3bo15b2o5bo2bo31bo83b
obobo3bobobo20bob2o9bo3bo2bo3b2ob2o$344bo18b2ob2o33bo4b2o115bobob2o7bo
6bo4bo$345bo2bo15b4o18b4o10bo5b2o82bo7bo3bo18bo3bo11bo2bo2b3ob2o3bo$
365b2o19bo3bo9bo3b2o113b3o18bo5b3o2bobo$386bo13b4o86bobobo3bo3bo15b2ob
o2bo12bo3bo9bo$387bo2bo126b2o17bo$494bo3bo3bo15b2o16bo4bo$520bo15b5o3b
4o$490bobobo3bobobo17bo23bo3bo$516b2o26bo$513b3o3bo25bo2bo$512bo6bo$
512bo$512b3o3bo$515b2obo!
I also ran a complete search of all period-2 ships of width 28 with a minimum population of no more than 75 cells using gfind. It didn't find any new ships.

Edit: A couple of weeks ago I started maintaining the jslife-moving collection on GitHub. The c/12 diagonal folder still needs updating. Specifically, it still needs David Bell's new switch engine spaceships and anything based on the 2-engine Cordership. I was having trouble deciding how exactly to update this section. Should I just delete patterns made "obsolete" by the 2-engine ship, or should a keep everything and just add in the 2-engine-based technology?
-Matthias Merzenich

Gamedziner
Posts: 795
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

Re: Spaceship Discussion Thread

Post by Gamedziner » May 7th, 2018, 7:47 am

Is there any way to connect Sir Robin and the almost knightship?

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!

User avatar
dvgrn
Moderator
Posts: 11194
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Spaceship Discussion Thread

Post by dvgrn » May 8th, 2018, 12:42 pm

Gamedziner wrote:Is there any way to connect Sir Robin and the almost knightship?
This is second-hand information, but I believe Adam and/or Tom had the almost-knightship front end as one of the starting points of their searches. It just didn't happen that that front end was the first one that allowed a completed knightship.

That said, it's definitely not trivial to connect the (complete) almost knightship to Sir Robin or anything else. The almost knightship creates two extra ON cells after 6 ticks, and I don't think there's a known likely front end or side spark or whatever for a second knightship, that could be placed nearby to suppress those two ON cells and not cause any other problems.

The fact that Sir Robin was found is maybe some kind of evidence that (2,1)c/6 isn't too terribly improbable, and therefore that the odds are pretty good that there's something "out there" that could finish the almost knightship successfully and make a connection to (some variation on) Sir Robin. It's just that the smallest such solution is likely to be a good bit bigger than the almost knightship, so it may or may not be within reach of a determined search.

User avatar
Billabob
Posts: 158
Joined: April 2nd, 2015, 5:28 pm

Re: Spaceship Discussion Thread

Post by Billabob » May 11th, 2018, 7:05 pm

c/15 asymmetric width 6 is negative after 4126417.594000 seconds, or 47.76 days.

You might be wondering why I ran this particular search, and why I let it for this long. Well, when I was combing through low-width high-period spaceship searches, I started with asymmetric ships under the assumption that it didn't matter what I searched first, as long as I searched all of them. I knew right off the bat that c/15 w6 would be negative, but I assumed it would only take a day or two due to the low width. By the time I realised I should stop the search, a week had already passed, and I didn't want to stop a search after an entire week (what if it finished in a few hours?)

Now time for w7 asymmetric.
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77topaz
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Re: Spaceship Discussion Thread

Post by 77topaz » May 12th, 2018, 2:36 am

Billabob wrote:c/15 asymmetric width 6 is negative after 4126417.594000 seconds, or 47.76 days.

You might be wondering why I ran this particular search, and why I let it for this long. Well, when I was combing through low-width high-period spaceship searches, I started with asymmetric ships under the assumption that it didn't matter what I searched first, as long as I searched all of them. I knew right off the bat that c/15 w6 would be negative, but I assumed it would only take a day or two due to the low width. By the time I realised I should stop the search, a week had already passed, and I didn't want to stop a search after an entire week (what if it finished in a few hours?)

Now time for w7 asymmetric.
What was the longest partial?

Sokwe
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Re: Spaceship Discussion Thread

Post by Sokwe » May 12th, 2018, 3:41 am

Billabob wrote:c/15 asymmetric width 6 is negative after 4126417.594000 seconds, or 47.76 days.
You should report what search program (and version number) you used. The information would be helpful in case we find any bugs.
Billabob wrote:started with asymmetric ships under the assumption that it didn't matter what I searched first, as long as I searched all of them.
I sometimes skip the asymmetric search, because a gutter search will find any asymmetric ship of the same search width (in those rules for which gutter searches work). Of course, a gutter search will take quite a bit longer. I'm sure a gutter search would still have several weeks to go. Maybe even another month!
Billabob wrote:Now time for w7 asymmetric.
I hope you're joking. I suspect that this would take over a year to complete. You would be better served looking for something like a period 8 or 9 ship. At this stage, every program has its problems. The most glaring is the inability of zfind v3.0 to save the search state. I suggest not using it for any long searches, as the risk of losing all of your progress is not worth the added speed. Hopefully someone will eventually fix that feature.
-Matthias Merzenich

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Billabob
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Re: Spaceship Discussion Thread

Post by Billabob » May 12th, 2018, 7:32 am

77topaz wrote:
Billabob wrote:c/15 asymmetric width 6 is negative after 4126417.594000 seconds, or 47.76 days.

You might be wondering why I ran this particular search, and why I let it for this long. Well, when I was combing through low-width high-period spaceship searches, I started with asymmetric ships under the assumption that it didn't matter what I searched first, as long as I searched all of them. I knew right off the bat that c/15 w6 would be negative, but I assumed it would only take a day or two due to the low width. By the time I realised I should stop the search, a week had already passed, and I didn't want to stop a search after an entire week (what if it finished in a few hours?)

Now time for w7 asymmetric.
What was the longest partial?
I didn't see any especially long partials. The longest pattern I saw printed was 9 cells long, and it was just a reaction with a beehive and ash that cause the beehive to move 1 cell upwards, and the ash to disappear.
Sokwe wrote: You should report what search program (and version number) you used. The information would be helpful in case we find any bugs.
I'm using ntzfind 3.0 from this thread.
Sokwe wrote:I hope you're joking. I suspect that this would take over a year to complete. You would be better served looking for something like a period 8 or 9 ship. At this stage, every program has its problems. The most glaring is the inability of zfind v3.0 to save the search state. I suggest not using it for any long searches, as the risk of losing all of your progress is not worth the added speed. Hopefully someone will eventually fix that feature.
I was joking - I'm not touching c/15 again with a ten-foot pole. What other search programs have save features? I'd like to run some long 2c/13 and 5c/14 searches, and I'd rather not risk losing everything because of a power cut.

EDIT: 5c/14 width 8 odd-symmetric is negative after 2.4 days, here are the largest partials reported:

Code: Select all

x = 245, y = 33, rule = B3/S23
6bo$6bo33bo5bo22bo5bo$5bobo31bobo3bobo21bo5bo53bo26bo$38b2ob2ob2ob2o
19bobo3bobo21bo5bo24bo26bo$4b2ob2o29b5ob5o49bo5bo23bobo24bobo28bo26bo$
4b2ob2o28b3ob2ob2ob3o18b2obobob2o20bobo3bobo22bobo24bobo28bo26bo24bo$
2bob2ob2obo25bobo2b2ob2o2bobo16bobobobobobo47b2obobob2o20b2ob2o26bobo
24bobo23bo$2bobo3bobo56bo9bo19bob2ob2obo19bo3bo3bo18b2ob3ob2o76bobo$2b
3o3b3o25bo3b2obob2o3bo15bo2bo5bo2bo18bob2ob2obo19b2o5b2o17bo2bo3bo2bo
22b2ob2o22b2ob2o$37b3ob5ob3o16bo3bo3bo3bo17b2obo3bob2o19bo5bo18bo9bo
22b2ob2o22b2ob2o20b2ob2o$4bo3bo30bo3bo3bo18bobob2ob2obobo17b2o7b2o18bo
bo3bobo18bob2ob2obo21b3o3b3o18bob2ob2obo18b2ob2o$3bobobobo31bo3bo21b2o
b2ob2ob2o18bo9bo17b2ob2ob2ob2o17bobo3bobo20bo2bo3bo2bo17bobo3bobo16bob
2ob2obo$3bobobobo29b2obobob2o21b3ob3o23bo3bo20b2obobobob2o15bob2o5b2ob
o17bob2o5b2obo16b3o3b3o16bobo3bobo$3bobobobo27bo2b2o3b2o2bo45b2obobobo
bob2o43b4o3b4o19bo2b2ob2o2bo42b3o3b3o$2b4ob4o26bo3bo3bo3bo19bobobobo
19b3obo3bob3o16bo2bo3bo2bo19b2ob2o22bo2b2ob2o2bo19bo3bo$bobobobobobo
27b2ob3ob2o21b2o3b2o20bo9bo19b2obob2o19bo7bo19bobo2bobo2bobo17bobobobo
19bo3bo$3o2bobo2b3o26bo7bo18b2o2bo3bo2b2o19b2o3b2o19bo2b2ob2o2bo15b2o
9b2o17bo3bo3bo3bo17bobobobo18bobobobo$2o9b2o25b2o2b3o2b2o17bo4b3o4bo
17bo3bobo3bo17b2obo3bob2o15b2o3bobo3b2o17bo3bo3bo3bo17bobobobo18bobobo
bo$bo9bo24b2o5bo5b2o14bo2bob5obo2bo43bo2b2o3b2o2bo14b5o3b5o20bo5bo22bo
bo20bobobobo$o2b7o2bo26bobobobobo17bo4bobobo4bo15b2obo5bob2o14bo13bo
14bo2bo3bo2bo19bo9bo16bo3bobo3bo15b4ob4o$4bo3bo86bobob2ob2obobo15bo2b
3ob3o2bo14b2ob2o3b2ob2o19bobo3bobo19b2o3b2o16bobobobobobo$b4o3b4o112b
2o7b2o15bo3b2ob2o3bo19b3o3b3o15bo13bo11b3o2bobo2b3o$b2o3bo3b2o111bobo
7bobo14b3obo3bob3o18bo9bo14bo13bo11b2o9b2o$b2o7b2o137b2o4bobo4b2o16bob
obo3bobobo14b6ob6o14bo7bo$183bobobobo44b2ob3ob2o$183b2o3b2o20bo5bo16bo
9bo$181b3o5b3o18bo5bo16b2o7b2o$180b2o2bobobo2b2o17b3ob3o16b2o7b2o$208b
o9bo17bobobo$207bo2bo2bo2bo2bo12b2ob2o3b2ob2o$206bo4b5o4bo14b3ob3o$
206b4obo3bob4o$208b3o2bo2b3o!
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HartmutHolzwart
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Re: Spaceship Discussion Thread

Post by HartmutHolzwart » May 31st, 2018, 4:46 pm

I was wondering why short wide spaceships are rather neglected.

Here is a 2c/5 wave:

Code: Select all

x = 102, y = 11, rule = B3/S23
3$15bo21bo21bo21bo$14b3o19b3o19b3o19b3o$12b2obob2o15b2obob2o15b2obob2o
15b2obob2o$3b3o4bo9bo4b3o4bo9bo4b3o4bo9bo4b3o4bo9bo4b3o$3b3o3b2o9b2o3b
3o3b2o9b2o3b3o3b2o9b2o3b3o3b2o9b2o3b3o$3bobo2b2o3bo3bo3b2o2bobo2b2o3bo
3bo3b2o2bobo2b2o3bo3bo3b2o2bobo2b2o3bo3bo3b2o2bobo$8b2o11b2o7b2o11b2o
7b2o11b2o7b2o11b2o!
Is it known? I couldn't come up with a completion so far. Could someone give it a try?

Bullet51
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Re: Spaceship Discussion Thread

Post by Bullet51 » June 1st, 2018, 9:16 am

HartmutHolzwart wrote:I was wondering why short wide spaceships are rather neglected.

Here is a 2c/5 wave:

Code: Select all

code
Is it known? I couldn't come up with a completion so far. Could someone give it a try?
A first try:

Code: Select all

x = 19, y = 127, rule = B3/S23
16b2o$10bo5b2o$9b2o4bo$8bobo4b2o$7b2ob5o$6b2o4bobob2o$6bo3bobob4o$3b3o
3b2obo$3b2o11b2o$3b3o11b2o$18bo2$5b2o$4b3o$3b2o2$2bo$2bo2bo$bo$3o$bo$
2bo2bo$2bo2$3b2o$4b3o$5b2o3$3b3o$3b2o$3b3o3$5b2o$4b3o$3b2o2$2bo$2bo2bo
$bo$3o$bo$2bo2bo$2bo2$3b2o$4b3o$5b2o3$3b3o$3b2o$3b3o3$5b2o$4b3o$3b2o2$
2bo$2bo2bo$bo$3o$bo$2bo2bo$2bo2$3b2o$4b3o$5b2o3$3b3o$3b2o$3b3o3$5b2o$
4b3o$3b2o2$2bo$2bo2bo$bo$3o$bo$2bo2bo$2bo2$3b2o$4b3o$5b2o3$3b3o$3b2o$
3b3o3$5b2o$4b3o$3b2o2$2bo$2bo2bo$bo$3o$bo$2bo2bo$2bo2$3b2o$4b3o$5b2o2$
18bo$3b3o11b2o$3b2o11b2o$3b3o3b2obo$6bo3bobob4o$6b2o4bobob2o$7b2ob5o$
8bobo4b2o$9b2o4bo$10bo5b2o$16b2o!
Still drifting.

HartmutHolzwart
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Re: Spaceship Discussion Thread

Post by HartmutHolzwart » June 2nd, 2018, 10:20 am

first completion of the 2c/5 wave:

Code: Select all

x = 146, y = 69, rule = B3/S23
7$35bo21bo21bo21bo$8bo4b3o18b3o19b3o19b3o19b3o18b3o4bo$7bobo3bobo16b2o
bob2o15b2obob2o15b2obob2o15b2obob2o16bobo3bobo$6b2ob2o2bo2bo6b3o4bo9bo
4b3o4bo9bo4b3o4bo9bo4b3o4bo9bo4b3o6bo2bo2b2ob2o$6bo2bo3bo5bo3b3o3b2o9b
2o3b3o3b2o9b2o3b3o3b2o9b2o3b3o3b2o9b2o3b3o3bo5bo3bo2bo$4b2ob2o4bo2bo2b
o3bobo2b2o3bo3bo3b2o2bobo2b2o3bo3bo3b2o2bobo2b2o3bo3bo3b2o2bobo2b2o3bo
3bo3b2o2bobo3bo2bo2bo4b2ob2o$5b2o7bobo2bo8b2o11b2o7b2o11b2o7b2o11b2o7b
2o11b2o8bo2bobo7b2o$6b2o7b2o3bobo91bobo3b2o7b2o$7bo9b2obo95bob2o9bo$4b
2o5bo2bo4bo97bo4bo2bo5b2o$5b3o6bo4bo97bo4bo6b3o$8bobo7b3o95b3o7bobo$
16bo103bo$16bo2bo97bo2bo$16bo103bo$17bobo97bobo2$17bobo97bobo$16b2ob2o
95b2ob2o$16b2o101b2o$18bo99bo$16bo103bo$15b2o103b2o$14b2ob2o99b2ob2o$
14b2o2b2o97b2o2b2o$15bo3bo97bo3bo$15bob2o99b2obo$14b2obo101bob2o$17bob
2o95b2obo$14b2obobo97bobob2o$14b2o2b2o97b2o2b2o$7b3o3bo3bobo97bobo3bo
3b3o$6bo3bobobo107bobobo3bo$6b2o6bo2bo101bo2bo6b2o$6bo3bobo2bobo101bob
o2bobo3bo$7b2o8bo101bo8b2o$4b3obo5bo4b3o93b3o4bo5bob3o$4b2ob2o6bo105bo
6b2ob2o$5bob2o6bo4bo95bo4bo6b2obo$7b2o5bobo103bobo5b2o$4bo3bo8bo101bo
8bo3bo$7bo7b2o103b2o7bo!
Hartmut

Sokwe
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Re: Spaceship Discussion Thread

Post by Sokwe » June 3rd, 2018, 3:56 am

HartmutHolzwart wrote:first completion of the 2c/5 wave
Here's a related completion (left) compared to the original (right):

Code: Select all

x = 129, y = 46, rule = B3/S23
30b3o19b3o19b3o19b3o$4bo4b3o18b3o19b3o19b3o19b3o18b3o4bo$3b3o3bo2bo16b
o3bo17bo3bo17bo3bo17bo3bo16bo2bo3b3o$2bo2bo13b3o3b2ob2o3b2ob2o3b3o3b2o
b2o3b2ob2o3b3o3b2ob2o3b2ob2o3b3o3b2ob2o3b2ob2o3b3o13bo2bo$b3o6b2o6bo3b
o2bo2bo5bo2bo2bo3bo2bo2bo5bo2bo2bo3bo2bo2bo5bo2bo2bo3bo2bo2bo5bo2bo2bo
3bo6b2o6b3o$2bobo6bob7ob4o2bo7bo2b4ob4o2bo7bo2b4ob4o2bo7bo2b4ob4o2bo7b
o2b4ob7obo6bobo$4b2o6b7o3b2o15b2o3b2o15b2o3b2o15b2o3b2o15b2o3b7o6b2o$o
4bo3bo3bo101bo3bo3bo4bo$5bo4bo107bo4bo$2o3bo5b2obobo95bobob2o5bo3b2o$
2bo2bo6bo3bo95bo3bo6bo2bo$4bo7bo4bo93bo4bo7bo$13b2o99b2o$14bobo95bobo$
15bo97bo$12bobo99bobo2$14b2o97b2o$13b3o97b3o$13bo101bo2$12bo103bo$11b
2o103b2o$11bob2o99b2obo$12bo2b2o95b2o2bo$12b2ob2o95b2ob2o$13bobo97bobo
$10b2obobo97bobob2o$10b2obob2o98bob2o$13bobobo94b2obo$12b2obo2bo98b2o
5bo$13bob2o2bo92b3o4bo3bobo$12bob2ob2o93b2o2b2ob2ob2ob2o$11b4o98bo5bo
3bo2bo$10b2o101b2ob3o5b2ob2o$9bo2bo100b2o2bo8b2o$8b2o102bobo10b2o$111b
3o3bo7bo$8b3o100b2o4bo3bo5b2o$9b2o106bo7b3o$116bo5bobo$9bob2o103bo$8bo
bo$8bobo2b2o$13b3o$13bo!
Edit: Here's another (much larger) stabilization:

Code: Select all

x = 129, y = 79, rule = B3/S23
30b3o19b3o19b3o19b3o$4bo4b3o18b3o19b3o19b3o19b3o18b3o4bo$3b3o3bo2bo16b
o3bo17bo3bo17bo3bo17bo3bo16bo2bo3b3o$2bo2bo13b3o3b2ob2o3b2ob2o3b3o3b2o
b2o3b2ob2o3b3o3b2ob2o3b2ob2o3b3o3b2ob2o3b2ob2o3b3o13bo2bo$b3o6b2o6bo3b
o2bo2bo5bo2bo2bo3bo2bo2bo5bo2bo2bo3bo2bo2bo5bo2bo2bo3bo2bo2bo5bo2bo2bo
3bo6b2o6b3o$2bobo6bob7ob4o2bo7bo2b4ob4o2bo7bo2b4ob4o2bo7bo2b4ob4o2bo7b
o2b4ob7obo6bobo$4b2o6b7o3b2o15b2o3b2o15b2o3b2o15b2o3b2o15b2o3b7o6b2o$o
4bo3bo3bo101bo3bo3bo4bo$5bo4bo107bo4bo$2o3bo5b2obobo95bobob2o5bo3b2o$
2bo2bo6bo3bo95bo3bo6bo2bo$4bo7bo4bo93bo4bo7bo$13b2o99b2o$14bobo95bobo$
15bo97bo$12bobo99bobo2$14b2o97b2o$13b3o97b3o$13bo101bo2$12bo103bo$11b
2o103b2o$11bob2o99b2obo$12bo2b2o95b2o2bo$12b2ob2o95b2ob2o$13bobo97bobo
$10b2obobo97bobob2o$10b2obob2o98bob2o$13bobobo94b2obo$12b2obo2bo98b2o
5bo$13bob2o2bo92b3o4bo3bobo$12bob2ob2o93b2o2b2ob2ob2ob2o$11b4o98bo5bo
3bo2bo$10bo2bo99b2ob3o5b2ob2o$9bo2bo100b2o2bo8b2o$11b2obo97bobo10b2o$
10bo4b2o94b3o3bo7bo$15bobo93b2o4bo3bo5b2o$10bo7bo98bo7b3o$12b2o4bo97bo
5bobo$9b2o2bo2bo99bo$13bo3bo$14b2ob3o$15bobo2bo$14bobo4bo$13b2o3bo$13b
2ob2o$13b2o3b2o$15bobobo$15bo$14b2obobo$14b4o$13bo2bo2bo$11b2o5bo$12bo
bo$13b3o$13b2obo$12b3ob2o$11bob2o3bo$12bo6bo$13bo4b2o$11bo6b2o$10bo3bo
$9b2o$10bob2o$10bo$10b2o4b3o$9bob2o3bobo$12bo3bo3bo$11bo5bo2bo$11b3o2b
2ob2o$11bo4b3o$10b2ob2obo$10b2ob2ob2o2b2o$10bo4b3o2bo$16b2o2bo2$11b3o!
-Matthias Merzenich

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