'Skimmers'

[lllllllllwith10ls]

A skimmer (name by MagmaMcFry#3139 on the Conwaylife Lounge) is a 'spaceship' that moves along the edge of an agar, without disrupting it. Have any of these been discovered in any rule?

[MathAndCode]

A skimmer (name by MagmaMcFry#3139 on the Conwaylife Lounge) is a 'spaceship' that moves along the edge of an agar, without disrupting it. Have any of these been discovered in any rule?

Grayships need to be stabilized at their sides. Does that count? If so, then here is a c/2 example, and here is a c/3 example (downloadable here).

[dvgrn]

Grayships need to be stabilized at their sides. Does that count? If so, then here is a c/2 example, and here is a c/3 example (downloadable here).

I guess it depends on what the boundary of the agar is. If the boundary is a P1 stabilization, then there aren't many grayships that produce and destroy an edge like that, are there?

You can mine lots of good "skimmers" out of recent discussion in the Spaceship Discussion thread between Hartmut Holzwart, Keith Amling, Sokwe, and others... but only if there's a grayship that at some stage produces the exact same boundary between agar and empty space that you want to run your "skimmer" on.

[lllllllllwith10ls]

Here are some examples of skimmers here:

Code: Select all

x = 66, y = 79, rule = B3/S23
3bo2bo2bo2bo2bo2bo2bo2bo3bo$b26obo$o27bo$b26o$32b2o2b2ob2ob2o$b26o2b2o
b2o3b2ob2obo$o27b2o5bo$b26o2b14o$43bo$b42o$o$b42o$43bo$b42o$o$b42o$3bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo12$3b2o2b2o2b2o2b2o2b2o2b2o2b2o
6bobo8bo$3b2o2b2o2b2o2b2o2b2o2b2o2b2o4bo3bo2b3o5bo$30b3o9bo5bo$b30obob
3o2bo2bo$o29bo5bo2bo5bo2bo$b26o5bo8b2o$30bo3b2o5b2o$b30ob2o3b3o6bo$o
37bo5bo4bo2b2o2b2o$b35o3bob5o2b2o2b2o2b2o$39bo6bo$b59o$o59bo$b59o2$b
59o$o59bo$b59o2$3b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b3o$3b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2bo2bo$
61b2o6$46b2o$42bo$41b2obobobo$3b2o2b2o2b2o2b2o2b2o2b2o2bobo5b5o7bo$3b
2o2b2o2b2o2b2o2b2o2b2o2bobobo2bo2bobo2bo$31bobo5bobo4bo$b28o2bo5bobob
4o2b2o$o28b2o5b2obobo3b3obo3b2o2b2o2b2o$b25o6bo3bo10b4o2b2o2b2o2b2o$
33bo$b27o13bo5b18o$o38b2o4b2o7bo10bo$b27o3b2o3b2ob2ob2ob2o2b2o4b10o$
29b2o3b2o12bo4bo$b27o2b3o2b11o3b16o$o47bo16bo$b64o2$b64o$o64bo$b64o2$
3b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$3b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o!

The greyships don't look like skimmers to me.

[Moosey]

Skimmer that adds width rather than subtracting, by wildmyron, reduced by blinkerspawn to this:

Code: Select all

x = 83, y = 23, rule = B3/S23
64b3o2b2ob2ob2ob2ob2o$61b7o2b2ob2ob2ob2obo$60b2o6bo$58b2o2b20o$3bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b2o14b2ob2o22bo$b40o12b2o5b22o$o49b2ob
2o6bo$b39o8b2o5b2o5b20o$45b2ob2o11bo20bo$b41ob2o5b2o3b2o3b22o$o42b2o8b
2o3b2o$b39o5b2o3b2o2b3o2b23o$48b2o32bo$b41o3b2o2b33o$o42b2o$b41o2b38o$
82bo$b81o$o$b81o$82bo$b81o$bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo!

[wildmyron]

p4 lightspeed skimmer which travels on boundary of blocks, but offsets the blocks by 2 and consumes 2 rows of zebra stripes:

Code: Select all

x = 66, y = 35, rule = B3/S23:T66,100-4
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2$50o4bo$50bo4bo2b2o2b2o$44ob2ob2o4b2o2b2o2b2o
$45b2o4bo$42o5b19o2$42o3b21o$43b2o$42o2b22o2$66o2$66o2$66o2$66o2$66o2$
66o2$66o2$66o2$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2ob23o$2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2obo$44b22o2$46b2o2b2o2b2o2b2o2b2o$46b
2o2b2o2b2o2b2o2b2o!

A pair of them leaves the blocks with 0 offset, but of course consumes 4 rows of stripes.

Code: Select all

x = 64, y = 45, rule = B3/S23:T64,100-8
2b2o2b2o2b2o2b2o2b2o2b2o2b2o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2$32o4bo$32bo
4bo2b2o2b2o$26ob2ob2o4b2o2b2o2b2o$27b2o4bo$24o5b21o4bo$50bo4bo2b2o2b2o
$24o3b17ob2ob2o4b2o2b2o2b2o$25b2o18b2o4bo$24o2b16o5b17o2$42o3b19o$43b
2o$42o2b20o2$64o2$64o2$64o2$64o2$64o2$64o2$64o2$64o2$64o2$2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2ob21o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2obo$44b20o2$44b20o$43bo$44b20o2$44b2o2b2o2b2o2b2o2b2o$44b2o2b2o
2b2o2b2o2b2o!

There's also a way to lay p4 blocks with the ants based zebra adder. Now just need a way to connect these parts up together to leave an unchanged boundary.

Code: Select all

x = 119, y = 29, rule = B3/S23
91bo$87b2o2bo$83bo2b3o3bob2o$81b2obobo2bo3bo$70b2o4b2ob2obob2ob4obo$
68b2o3bob3o10b3obo$65b2ob2o3bo18bo3b2o$63b2o5b2o3b3obo2b2o9b6o$60b2ob
2o10b2ob3o12b2o2b2o3b2o2b2o2b2o2b2o$58b2o5b2o3b2o3b2o3bo11b3o3bo3b2o2b
2o2b2o2b2o$3bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b2o14b2ob2o8b2o5bo4bo
7b3obo6bo$b40o12b2o5b2o3b2o2b3o3bo4b2obo3b4o2b25o$o49b2ob2o8b2o10bo3bo
5b2o2bo2bo25bo$b39o8b2o5b2o3b2o2b6o5b7o3b2o4b27o$45b2ob2o8b2o12bobobo
7bo5bo$b41ob2o5b2o3b2o2b17ob41o$o42b2o8b2o63bo$b39o5b2o3b2o2b64o$48b2o
$b41o3b2o2b69o$o42b2o73bo$b41o2b74o2$b117o$o117bo$118o2$118o$o2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo!

Any suggestions what to call a skimmer that leaves the boundary unchanged? Or perhaps a different name for these ones that do change the boundary.

[Pavgran]

Any suggestions what to call a skimmer that leaves the boundary unchanged? Or perhaps a different name for these ones that do change the boundary.

Skimmers and trimmers, maybe?

[wildmyron]

Getting closer - another p4 lightspeed trimmer.

Code: Select all

x = 92, y = 27, rule = B3/S23
59bo$57bo2bo$b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o9bo4bo3b2o
3b2o$b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o6bo2b2obobo2b3o3b
3o$48b3ob2obobobo3bobo2b2o3bo2bobo2b2o2b2o2b2o$b48o5bo3b2o3b2o6b3o3b2o
2b2o2b2o2bobo$o52b2o2bo3bo4bo2bo4bo16bo$b45o4b3o5bob8o3b20o$58bo11bo$b
44obobo8b7ob2ob23o$o45bo8b2o8b2o24bo$b42o5bo3b2ob2o2b3o5b24o$46bo3b2o
6bo$b44obobo2b5o3b3o3b26o$o57bo4b2o26bo$b61o2b27o2$b90o$o90bo$b90o2$b
90o$o90bo$b90o2$b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o!

I like the name "trimmer" for these, but it doesn't really work for the ones that build up the agar, or change the type of boundary without changing where it is.

====

Edit Got it!

p4 lightspeed skimmer on the zebra stripes agar with blocks boundary:

Code: Select all

x = 128, y = 37, rule = B3/S23:T128,0
111bo$107b2o2bo$103bo2b3o3bob2o$101b2obobo2bo3bo$75b2o3b2o3b2o3b2o4b2o
b2obob2ob4obo$73b2o3b2o3b2o3b2o3bob3o10b3obo$70b2ob2o3b2o3b2o3b2o3bo
18bo3b2o$68b2o5b2o3b2o3b2o3b2o3b3obo2b2o9b6o$2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o25b2ob2o25b2ob3o12b2o2b2o3b2o2b2o$2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o4b2o3bo13b2o5b2o3b2o3b2o3b2o3b2o3b2o3bo11b3o3bo3b
2o2b2o$45bo3bo10b2ob2o8b2o3b2o3b2o3b2o5bo4bo7b3obo6bo$43o15b2o5b2o3b2o
2b3o2b3o2b3o2b3o3bo4b2obo3b4o2b15o$36bo5bob2o9b2ob2o8b2o25bo3bo5b2o2bo
2bo$34o4b2obo11b2o5b2o3b2o2b21o5b7o3b2o4b17o$38bo2bo8b2ob2o8b2o27bobob
o7bo5bo$34o4bo9b2o5b2o3b2o2b32ob31o$38bo6b2ob2o8b2o$34o4b2obob2o5b2o3b
2o2b69o$37bo5b2o8b2o$40o5b2o3b2o2b74o$48b2o$42o3b2o2b79o$43b2o$42o2b
84o2$128o2$128o2$128o2$128o2$128o2$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o!

[dani]

p4 lightspeed skimmer on the zebra stripes agar with blocks boundary:

Code: Select all

x = 128, y = 37, rule = B3/S23:T128,0
111bo$107b2o2bo$103bo2b3o3bob2o$101b2obobo2bo3bo$75b2o3b2o3b2o3b2o4b2o
b2obob2ob4obo$73b2o3b2o3b2o3b2o3bob3o10b3obo$70b2ob2o3b2o3b2o3b2o3bo
18bo3b2o$68b2o5b2o3b2o3b2o3b2o3b3obo2b2o9b6o$2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o25b2ob2o25b2ob3o12b2o2b2o3b2o2b2o$2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o4b2o3bo13b2o5b2o3b2o3b2o3b2o3b2o3b2o3bo11b3o3bo3b
2o2b2o$45bo3bo10b2ob2o8b2o3b2o3b2o3b2o5bo4bo7b3obo6bo$43o15b2o5b2o3b2o
2b3o2b3o2b3o2b3o3bo4b2obo3b4o2b15o$36bo5bob2o9b2ob2o8b2o25bo3bo5b2o2bo
2bo$34o4b2obo11b2o5b2o3b2o2b21o5b7o3b2o4b17o$38bo2bo8b2ob2o8b2o27bobob
o7bo5bo$34o4bo9b2o5b2o3b2o2b32ob31o$38bo6b2ob2o8b2o$34o4b2obob2o5b2o3b
2o2b69o$37bo5b2o8b2o$40o5b2o3b2o2b74o$48b2o$42o3b2o2b79o$43b2o$42o2b
84o2$128o2$128o2$128o2$128o2$128o2$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o!

Here's an adjustable 8c/(108+4n) spaceship using it:

Code: Select all

x = 108, y = 39, rule = B3/S23:T108,1000-8
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o51bo$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o4b2o3bo37b2o2bo$39bo3bo33bo2b3o3bob2o$37o38b2obobo2bo3bo$30bo5bob
2o9b2o3b2o3b2o3b2o4b2ob2obob2ob4obo$28o4b2obo11b2o3b2o3b2o3b2o3bob3o
10b3obo$32bo2bo8b2ob2o3b2o3b2o3b2o3bo18bo3b2o$8o2b18o4bo9b2o5b2o3b2o3b
2o3b2o3b3obo2b2o9b6o$9b2o21bo6b2ob2o25b2ob3o12b2o2b2o3b2o2b2o2b2o$8o3b
2o2b13o4b2obob2o5b2o3b2o3b2o3b2o3b2o3b2o3bo11b3o3bo3b2o2b2o2b2o$14b2o
15bo5b2o8b2o3b2o3b2o3b2o5bo4bo7b3obo6bo$6o5b2o3b2o2b14o5b2o3b2o2b3o2b
3o2b3o2b3o3bo4b2obo3b4o2b21o$3bo5b2o8b2o21b2o25bo3bo5b2o2bo2bo$4b2obob
2o5b2o3b2o2b11o3b2o2b21o5b7o3b2o4b23o$4bo6b2ob2o8b2o11b2o27bobobo7bo5b
o$4bo9b2o5b2o3b2o2b6o2b32ob37o$4bo2bo8b2ob2o8b2o$4b2obo11b2o5b2o3b2o2b
73o$2bo5bob2o9b2ob2o8b2o$9o15b2o5b2o3b2o2b68o$11bo3bo10b2ob2o8b2o$2o2b
2o4b2o3bo13b2o5b2o3b2o2b63o$2o2b2o25b2ob2o8b2o$34b2o5b2o3b2o2b32ob25o$
36b2ob2o8b2o27bobobo7bo5bo$39b2o5b2o3b2o2b21o5b7o3b2o4b11o$41b2ob2o8b
2o25bo3bo5b2o2bo2bo$44b2o5b2o3b2o2b3o2b3o2b3o2b3o3bo4b2obo3b4o2b9o$46b
2ob2o8b2o3b2o3b2o3b2o5bo4bo7b3obo6bo$49b2o5b2o3b2o3b2o3b2o3b2o3b2o3bo
11b3o3bo$51b2ob2o25b2ob3o12b2o2b2o$54b2o5b2o3b2o3b2o3b2o3b3obo2b2o9b6o
$56b2ob2o3b2o3b2o3b2o3bo18bo3b2o$59b2o3b2o3b2o3b2o3bob3o10b3obo$61b2o
3b2o3b2o3b2o4b2ob2obob2ob4obo$87b2obobo2bo3bo$89bo2b3o3bob2o$93b2o2bo$
97bo!

[dvgrn]

Here's an adjustable 8c/(108+4n) spaceship using it...

I wanted to try a spacefiller on a twisted torus with one infinite dimension, but Golly doesn't seem to support that -- or am I just doing something silly? Neither LifeViewer nor Golly seem to be happy with the ":T128,0+2" variant below.

So instead we get a thoroughly doomed spacefiller. Spacefillers in bounded universes are never particularly happy, I guess:

Code: Select all

x = 128, y = 32, rule = B3/S23:T128,256+2
93b3o3b2o$90b6obo4bo$87b2o6bo2bo$61b2o3b2o3b2o3b2o4b2ob2obobob4o2bo$
59b2o3b2o3b2o3b2o3bob3o9bob2obo3bo$56b2ob2o3b2o3b2o3b2o3bo18bo$54b2o5b
2o3b2o3b2o3b2o3b3obo2b2o9b3o$51b2ob2o25b2ob3o12b3o5bo2b2o2b2o2b2o2b2o
2b2o$49b2o5b2o3b2o3b2o3b2o3b2o3b2o3bo11b4o3b3o2b2o2b2o2b2o2b2o2b2o$2b
2o2b2o2b2o2b2o2b2o2bobo21b2ob2o8b2o3b2o3b2o3b2o5bo4bo7b3obo$2b2o2b2o2b
2o2b2o2b2o2bobo4bo14b2o5b2o3b2o2b3o2b3o2b3o2b3o3bo4b2obo3b4o2b29o$25bo
2bobo10b2ob2o8b2o25bo3bo5b2o2bo2bo$25o14b2o5b2o3b2o2b21o5b7o3b2o4b31o$
18bo3bob2o10b2ob2o8b2o27bobobo7bo5bo$15o4bo14b2o5b2o3b2o2b32ob45o$19b
3o9b2ob2o8b2o$15o4b3o7b2o5b2o3b2o2b83o$19b2o5b2ob2o8b2o$15o4b3o2b2o5b
2o3b2o2b88o$17bo4bob2o8b2o$21o5b2o3b2o2b93o$29b2o$23o3b2o2b98o$24b2o$
23o2b103o2$128o2$125ob2o$124bob2o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b4o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2bo2bo!

Code: Select all

x = 128, y = 32, rule = B3/S23:T128,0+2
93b3o3b2o$90b6obo4bo$87b2o6bo2bo$61b2o3b2o3b2o3b2o4b2ob2obobob4o2bo$
59b2o3b2o3b2o3b2o3bob3o9bob2obo3bo$56b2ob2o3b2o3b2o3b2o3bo18bo$54b2o5b
2o3b2o3b2o3b2o3b3obo2b2o9b3o$51b2ob2o25b2ob3o12b3o5bo2b2o2b2o2b2o2b2o
2b2o$49b2o5b2o3b2o3b2o3b2o3b2o3b2o3bo11b4o3b3o2b2o2b2o2b2o2b2o2b2o$2b
2o2b2o2b2o2b2o2b2o2bobo21b2ob2o8b2o3b2o3b2o3b2o5bo4bo7b3obo$2b2o2b2o2b
2o2b2o2b2o2bobo4bo14b2o5b2o3b2o2b3o2b3o2b3o2b3o3bo4b2obo3b4o2b29o$25bo
2bobo10b2ob2o8b2o25bo3bo5b2o2bo2bo$25o14b2o5b2o3b2o2b21o5b7o3b2o4b31o$
18bo3bob2o10b2ob2o8b2o27bobobo7bo5bo$15o4bo14b2o5b2o3b2o2b32ob45o$19b
3o9b2ob2o8b2o$15o4b3o7b2o5b2o3b2o2b83o$19b2o5b2ob2o8b2o$15o4b3o2b2o5b
2o3b2o2b88o$17bo4bob2o8b2o$21o5b2o3b2o2b93o$29b2o$23o3b2o2b98o$24b2o$
23o2b103o2$128o2$125ob2o$124bob2o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b4o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2bo2bo!

EDIT: I was going to suggest "slimmer" and "shimmer" for the reducing and increasing skimmeroids, respectively -- referring to the meanings "to slim down" and "to shim up", not the meanings "skinnier" or "soft wavering light". But "trimmer" seems much cleaner for both, so I'm just going to hide this note here instead.

[wildmyron]

Here's an adjustable 8c/(108+4n) spaceship using it...

I wanted to try a spacefiller on a twisted torus with one infinite dimension, but Golly doesn't seem to support that -- or am I just doing something silly? Neither LifeViewer nor Golly seem to be happy with the ":T128,0+2" variant below.

I encountered the same limitation in Golly, so I don't think it's just you doing something silly.

Further thought on naming: on Discord it was pointed out to me that using the "to make fine adjustment" definition of trim means the name makes sense for both skimmers that add to and subtract from the agar. I had the other meaning stuck in my head. So trimmer and skimmer seem quite appropriate to me.

[wildmyron]

A few trimmers on different agars. All of them are subtractive, unfortunately I couldn't find anything which was additive or close to being a skimmer.

p4 lightspeed trimmer on the chickenwire agar:

Code: Select all

x = 60, y = 17, rule = B3/S23
bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$obobobobobobobobobobobobobobobobobobo$ob
obobobobobobobobobobobobobobobobobo2b3o$bobobobobobobobobobobobobobobo
bobo3bobo2b2o$3bobobobobobobobobobobobobobobobo9bo$2bobobobobobobobobo
bobobobobobobobobo2bo$2bobobobobobobobobobobobobobobobobobobo12bo3bo$
3bobobobobobobobobobobobobobobobobob2o4b2ob3obobobobob2o$bobobobobobob
obobobobobobobobobobobob2o2bo2bobobobobobobob2o$obobobobobobobobobobob
obobobobobobobobo3bobobobobobobobo$obobobobobobobobobobobobobobobobobo
bobobobobobobobobobobo$bobobobobobobobobobobobobobobobobobobobobobobob
obobobobo$3bobobobobobobobobobobobobobobobobobobobobobobobobobo$2bobob
obobobobobobobobobobobobobobobobobobobobobobobobo$2bobobobobobobobobob
obobobobobobobobobobobobobobobobobo$3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo2bob2o$54b2obo!

Several p3 lightspeed trimmers on an array of blocks with zebra stripes boundary:

Code: Select all

x = 56, y = 55, rule = B3/S23
2o$2o$4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo3bo$40obo$o40bo$b39o$42bo10b
2o$b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obo2bo2bo2bobo2bo$b2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob7ob3o2$b2ob2ob2ob2ob2ob2ob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2ob2ob2o$b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o
b2ob2ob2o2$b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$b2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o8$3bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo3bo$b38obo$o39bo$b38o$53b2o$b2ob2ob2ob2ob2ob2ob2ob2o
b2ob2ob2ob2ob2obo2bo2bo2bobo2bo$b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob10ob3o2$b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$b2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o2$b2ob2ob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2ob2o8$3bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$b40o$o
40bo$b38o$40b2o$b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$b2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2o2$b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o
b2ob2ob2ob2ob2o$b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o
2$b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$b2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o!

[confocaloid]

Hi, I heard that it was possible to search for "skimmers" (mobile objects on the boundary between vacuum and an agar) using Llsss, but I couldn't figure out how to do so from reading this thread or expirementing by myself.

Here's an example of a skimmer I'd like to look for.

Code: Select all

x = 92, y = 27, rule = B3/S23
59bo$57bo2bo$b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o9bo4bo3b2o
3b2o$b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o6bo2b2obobo2b3o3b
3o$48b3ob2obobobo3bobo2b2o3bo2bobo2b2o2b2o2b2o$b48o5bo3b2o3b2o6b3o3b2o
2b2o2b2o2bobo$o52b2o2bo3bo4bo2bo4bo16bo$b45o4b3o5bob8o3b20o$58bo11bo$b
44obobo8b7ob2ob23o$o45bo8b2o8b2o24bo$b42o5bo3b2ob2o2b3o5b24o$46bo3b2o
6bo$b44obobo2b5o3b3o3b26o$o57bo4b2o26bo$b61o2b27o2$b90o$o90bo$b90o2$b
90o$o90bo$b90o2$b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o!

[...]

Stitching it all together:

Code: Select all

x = 66, y = 216, rule = B3/S23
2obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$2ob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$3bobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$3bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo$2obobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobo$2obobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobo$3bobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobo$3bobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobo$2obobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobo$2obobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobo$3bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobo$3bobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobo$2obobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobo$2obobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobo$3bobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo$3bobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobo$2obobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobo$2obobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobo$3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obo$3bo5bobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$2ob
o2bo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$3bob3o
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$2o2b4obobob
obobobobobobobobobobobobobobobobobobobobobobobobobobo$6bo2bobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobo$8b2obobobobobobobobobob
obobobobobobobobobobobobobobobobobobo$9bobobobobobobobobobobobobobobob
obobobobobobobobobobobobobo$8b2obobobobobobobobobobobobobobobobobobobo
bobobobobobobobobo$15bobobobobobobobobobobobobobobobobobobobobobobobob
obo$12bo2bobobobobobobobobobobobobobobobobobobobobobobobobobo$12b2obob
obobobobobobobobobobobobobobobobobobobobobobobobo$11bobobobobobobobobo
bobobobobobobobobobobobobobobobobobobo$11bobobobobobobobobobobobobobob
obobobobobobobobobobobobobo$15bobobobobobobobobobobobobobobobobobobobo
bobobobobobo$12bo2bobobobobobobobobobobobobobobobobobobobobobobobobobo
$12b2obobobobobobobobobobobobobobobobobobobobobobobobobobo$11bobobobob
obobobobobobobobobobobobobobobobobobobobobobobo$11bobobobobobobobobobo
bobobobobobobobobobobobobobobobobobo$15bobobobobobobobobobobobobobobob
obobobobobobobobobobo$12bo2bobobobobobobobobobobobobobobobobobobobobob
obobobobo$12b2obobobobobobobobobobobobobobobobobobobobobobobobobobo$
11bobobobobobobobobobobobobobobobobobobobobobobobobobobobo$11bobobobob
obobobobobobobobobobobobobobobobobobobobobobobo$15bobobobobobobobobobo
bobobobobobobobobobobobobobobobo$12bo2bobobobobobobobobobobobobobobobo
bobobobobobobobobobo$12b2obobobobobobobobobobobobobobobobobobobobobobo
bobobobo$11bobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
11bobobobobobobobobobobobobobobobobobobobobobobobobobobobo$15bobobobob
obobobobobobobobobobobobobobobobobobobobobo$12bo2bobobobobobobobobobob
obobobobobobobobobobobobobobobo$12b2obobobobobobobobobobobobobobobobob
obobobobobobobobobo$11bobobobobobobobobobobobobobobobobobobobobobobobo
bobobobo$11bobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
15bobobobobobobobobobobobobobobobobobobobobobobobobobo$12bo2bobobobobo
bobobobobobobobobobobobobobobobobobobobobo$21bobobobobobobobobobobobob
obobobobobobobobobobo$12b2o4bo2bobobobobobobobobobobobobobobobobobobob
obobobo$12b2o4b2obobobobobobobobobobobobobobobobobobobobobobobo$11bo2b
o2bobobobobobobobobobobobobobobobobobobobobobobobobo$11bo2bo2bobobobob
obobobobobobobobobobobobobobobobobobobobo$19bobobobobobobobobobobobobo
bobobobobobobobobobobo$10b2o2b2o3bobobobobobobobobobobobobobobobobobob
obobobobobo$23bobobobobobobobobobobobobobobobobobobobobobo$10bob2obo4b
o2bobobobobobobobobobobobobobobobobobobobobobo$20b2obobobobobobobobobo
bobobobobobobobobobobobobo$9b2obobo4bobobobobobobobobobobobobobobobobo
bobobobobobobo$13bo4b2obobobobobobobobobobobobobobobobobobobobobobobo$
9bobobob3obobobobobobobobobobobobobobobobobobobobobobobobo$13bobobobob
obobobobobobobobobobobobobobobobobobobobobobo$10bo2bobobobobobobobobob
obobobobobobobobobobobobobobobobobo$10b2obobobobobobobobobobobobobobob
obobobobobobobobobobobobo$9bobobobobobobobobobobobobobobobobobobobobob
obobobobobobobo$9bobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$13bobobobobobobobobobobobobobobobobobobobobobobobobobobo$10bo2bo
bobobobobobobobobobobobobobobobobobobobobobobobobobo$10b2obobobobobobo
bobobobobobobobobobobobobobobobobobobobobo$9bobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobo$9bobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobo$13bobobobobobobobobobobobobobobobobobobobobobob
obobobobo$10bo2bobobobobobobobobobobobobobobobobobobobobobobobobobobo$
10b2obobobobobobobobobobobobobobobobobobobobobobobobobobobo$9bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobo$9bobobobobobobobobob
obobobobobobobobobobobobobobobobobobobo$13bobobobobobobobobobobobobobo
bobobobobobobobobobobobobo$10bo2bobobobobobobobobobobobobobobobobobobo
bobobobobobobobo$10b2obobobobobobobobobobobobobobobobobobobobobobobobo
bobobo$9bobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$9bo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobo$13bobobobobob
obobobobobobobobobobobobobobobobobobobobobo$10bo2bobobobobobobobobobob
obobobobobobobobobobobobobobobobo$10b2obobobobobobobobobobobobobobobob
obobobobobobobobobobobo$9bobobobobobobobobobobobobobobobobobobobobobob
obobobobobobo$9bobobobobobobobobobobobobobobobobobobobobobobobobobobob
obo$13bobobobobobobobobobobobobobobobobobobobobobobobobobobo$10bo2bobo
bobobobobobobobobobobobobobobobobobobobobobobobobo$15bo7bobobobobobobo
bobobobobobobobobobobobobobobo$11b2o2bo4bo2bobobobobobobobobobobobobob
obobobobobobobobo$20b2obobobobobobobobobobobobobobobobobobobobobobo$
11bob2o4bobobobobobobobobobobobobobobobobobobobobobobobo$19bobobobobob
obobobobobobobobobobobobobobobobobobo$12bobo8bobobobobobobobobobobobob
obobobobobobobobobo$20bo2bobobobobobobobobobobobobobobobobobobobobobo$
11b2ob2o4b2obobobobobobobobobobobobobobobobobobobobobobo$19bobobobobob
obobobobobobobobobobobobobobobobobobo$11bobobo2b2obobobobobobobobobobo
bobobobobobobobobobobobobo$12bo3b2obobobobobobobobobobobobobobobobobob
obobobobobobo$11bobobobobobobobobobobobobobobobobobobobobobobobobobobo
bo$11bobobobobobobobobobobobobobobobobobobobobobobobobobobobo$15bobobo
bobobobobobobobobobobobobobobobobobobobobobobo$12bo2bobobobobobobobobo
bobobobobobobobobobobobobobobobobo$12b2obobobobobobobobobobobobobobobo
bobobobobobobobobobobo$11bobobobobobobobobobobobobobobobobobobobobobob
obobobobobo$11bobobobobobobobobobobobobobobobobobobobobobobobobobobobo
$15bobobobobobobobobobobobobobobobobobobobobobobobobobo$12bo2bobobobob
obobobobobobobobobobobobobobobobobobobobobo$12b2obobobobobobobobobobob
obobobobobobobobobobobobobobobo$11bobobobobobobobobobobobobobobobobobo
bobobobobobobobobobo$11bobobobobobobobobobobobobobobobobobobobobobobob
obobobobo$15bobobobobobobobobobobobobobobobobobobobobobobobobobo$12bo
2bobobobobobobobobobobobobobobobobobobobobobobobobobo$12b2obobobobobob
obobobobobobobobobobobobobobobobobobobobo$11bobobobobobobobobobobobobo
bobobobobobobobobobobobobobobo$11bobobobobobobobobobobobobobobobobobob
obobobobobobobobobo$15bobobobobobobobobobobobobobobobobobobobobobobobo
bobo$12bo2bobobobobobobobobobobobobobobobobobobobobobobobobobo$12b2obo
bobobobobobobobobobobobobobobobobobobobobobobobobo$11bobobobobobobobob
obobobobobobobobobobobobobobobobobobobo$11bobobobobobobobobobobobobobo
bobobobobobobobobobobobobobo$15bobobobobobobobobobobobobobobobobobobob
obobobobobobo$12bo2bobobobobobobobobobobobobobobobobobobobobobobobobob
o$12b2obobobobobobobobobobobobobobobobobobobobobobobobobobo$11bobobobo
bobobobobobobobobobobobobobobobobobobobobobobobo$11bobobobobobobobobob
obobobobobobobobobobobobobobobobobobo$19bobobobobobobobobobobobobobobo
bobobobobobobobobo$12bo3bo2bobobobobobobobobobobobobobobobobobobobobob
obobo$16b2obobobobobobobobobobobobobobobobobobobobobobobobo$11b2o2bobo
bobobobobobobobobobobobobobobobobobobobobobobobo$14b2obobobobobobobobo
bobobobobobobobobobobobobobobobobo$11bobobobobobobobobobobobobobobobob
obobobobobobobobobobobo$15bobobobobobobobobobobobobobobobobobobobobobo
bobobobo$12bo2bobobobobobobobobobobobobobobobobobobobobobobobobobo$12b
2obobobobobobobobobobobobobobobobobobobobobobobobobobo$11bobobobobobob
obobobobobobobobobobobobobobobobobobobobobo$11bobobobobobobobobobobobo
bobobobobobobobobobobobobobobobo$15bobobobobobobobobobobobobobobobobob
obobobobobobobobo$12bo2bobobobobobobobobobobobobobobobobobobobobobobob
obobo$12b2obobobobobobobobobobobobobobobobobobobobobobobobobobo$11bobo
bobobobobobobobobobobobobobobobobobobobobobobobobobo$11bobobobobobobob
obobobobobobobobobobobobobobobobobobobobo$15bobobobobobobobobobobobobo
bobobobobobobobobobobobobo$12bo2bobobobobobobobobobobobobobobobobobobo
bobobobobobobo$12b2obobobobobobobobobobobobobobobobobobobobobobobobobo
bo$11bobobobobobobobobobobobobobobobobobobobobobobobobobobobo$11bobobo
bobobobobobobobobobobobobobobobobobobobobobobobobo$15bobobobobobobobob
obobobobobobobobobobobobobobobobobo$12bo2bobobobobobobobobobobobobobob
obobobobobobobobobobobo$12b2obobobobobobobobobobobobobobobobobobobobob
obobobobobo$11bobobobobobobobobobobobobobobobobobobobobobobobobobobobo
$11bobobobobobobobobobobobobobobobobobobobobobobobobobobobo$15bobobobo
bobobobobobobobobobobobobobobobobobobobobobo$12bo2bobobobobobobobobobo
bobobobobobobobobobobobobobobobo$12b2obobobobobobobobobobobobobobobobo
bobobobobobobobobobo$11bobobobobobobobobobobobobobobobobobobobobobobob
obobobobo$11bobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
15bobobobobobobobobobobobobobobobobobobobobobobobobobo$12bo2bobobobobo
bobobobobobobobobobobobobobobobobobobobobo$12b2obobobobobobobobobobobo
bobobobobobobobobobobobobobobo$11bobobobobobobobobobobobobobobobobobob
obobobobobobobobobo$11bobobobobobobobobobobobobobobobobobobobobobobobo
bobobobo$13bobobobobobobobo7bobo5bobobobobobobobobobobobo$13bobobobobo
bobobo2bo4bobo2bo2bobobobobobobobobobobobo$17bobo5bobob2o6bob2o6bobobo
bobobobobobobo$14bo2bobo2bo2bo3bobo2b2obobobo2bo2bobobobobobobobobobo$
22b2obo3bob2o4bobob2o8bobobobobobobobo$14b2o2bo2bobo7bobobo5bobo4bo2bo
bobobobobobobo$14b2o2b2o3bob2ob2obo6bo2bobo4b2obobobobobobobobo$13bo2b
obobo2bo7bo2bo12bobobobobobobobobobo$13bo2bobobo4bobobobob2o3b2o2bo3b
2obobobobobobobobobo$24bo6bobobo7b3obobobobobobobobobobo$19bo8bo2bobob
o2bob2obobobobobobobobobobobobo$19b2o2b2o2b3obo11bobobobobobobobobobob
obo$18bobo2b2o2bobobo2bo4bobobobobobobobobobobobobobo$18bobobo3b2obobo
b2o5bo2bobobobobobobobobobobobo$22bob3o6bobo3bobobobobobobobobobobobob
obo$22bob2o2bo4bobo3bobobobobobobobobobobobobobo$27b3o13bobobobobobobo
bobobobobo$24b2o6b2ob2o3bo2bobobobobobobobobobobobo$40b2obobobobobobob
obobobobobo$28b2o2bobobo2bobobobobobobobobobobobobobo$28b2o5bo2b2obobo
bobobobobobobobobobobo$29bo3bobobobobobobobobobobobobobobobobo$29b4o2b
obobobobobobobobobobobobobobobo$31bobobobobobobobobobobobobobobobobobo
$31bobobobobobobobobobobobobobobobobobo$29bobobobobobobobobobobobobobo
bobobobobo$29bobobobobobobobobobobobobobobobobobobo$30b2obobobobobobob
obobobobobobobobobobo$33bobobobobobobobobobobobobobobobobo$33bobobobob
obobobobobobobobobobobobo$30b2obobobobobobobobobobobobobobobobobo$30b
2obobobobobobobobobobobobobobobobobo$33bobobobobobobobobobobobobobobob
obo$33bobobobobobobobobobobobobobobobobo$30b2obobobobobobobobobobobobo
bobobobobo$30b2obobobobobobobobobobobobobobobobobo$33bobobobobobobobob
obobobobobobobobo$33bobobobobobobobobobobobobobobobobo$30b2obobobobobo
bobobobobobobobobobobobo$30b2obobobobobobobobobobobobobobobobobo$33bob
obobobobobobobobobobobobobobobo$33bobobobobobobobobobobobobobobobobo$
30b2obobobobobobobobobobobobobobobobobo$30b2obobobobobobobobobobobobob
obobobobo$33bobobobobobobobobobobobobobobobobo$33bobobobobobobobobobob
obobobobobobo$30b2obobobobobobobobobobobobobobobobobo$30b2obobobobobob
obobobobobobobobobobobo!

[...]

I combined those components into a single pattern in a toroidal universe.

The skimmer on the top has (hopefully) more easily recognisable components (at the cost of being longer), and is combined with the smaller skimmer posted by lllllllllwith10ls.

The skimmer on the bottom is intended to be shorter, and it doesn't use all known components.

Code: Select all

x = 1002, y = 149, rule = B3/S23:T1002,400
237b2o3b2o3b2o3b2o3b2o3bobo$235bo3b2o3b2o3b2o3b2o3b2o3bobobo$161b2o3b
2o3b2o3b2o3b2o3b2o3bobo3b2o3b2o3b2o3b2o3b2o3b2obobo3bobo3b3o2b3o2b3o2b
3o2b3o2bo5bob2o5b2o3b2o3b2o3b2o3b2o3bobo$163b2o3b2o3b2o3b2o3b2o3b2o3bo
bo3b2o3b2o3b2o3b2o3b2o3bo2bobo3bo30bobo5b2obo3b2o3b2o3b2o3b2o3b2o3bobo
bo$152b2o5b5o2b3o2b3o2b3o2b3o2b3o2bo5b3o2b3o2b3o2b3o2b3o2b2obo5bo3b29o
2bo5b2o3b3o2b3o2b3o2b3o2b3o2bo5bob2o5b2o3bobo$154b2obo34bo34bobobo32bo
3bob2o32bobo5b2obo3b2o3bobobo$154b2o3b35o3b27obobo5b30o3bobo6b29o2bo5b
2o3b3o2bo5bob2o5b2o3bobo$152b2o40b2o28bo37bo41bo3bob2o12bobo5b2obo3b2o
3bobobo$157b38o2b28o10b28o7b2o3b28o3bobo6b9o2bo5b2o3b3o2bo5bob2o5b2o3b
obo$147b2o3b4o69bo37bo8b2o28bo21bo3bob2o12bobo5b2obo3b2o3bobobo$149b2o
3bo2b70o3b2o3b30o3b5o2b28o7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o5b2o3bo
bo$147b3o2b2o73b2o3b2o31b2o36bo8b2o8bo21bo3bob2o12bobo5b2obo3b2o3bobob
o$155bo3b69o2b3o2b31o2b37o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob
2o5b2o3bobo$145b3o8b2o147b2o16bo8b2o8bo21bo3bob2o12bobo5b2obo3b2o3bobo
bo$148b2o3b4o2b147o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o
5b2o3bobo$143bob2ob2obo173b2o16bo8b2o8bo21bo3bob2o12bobo5b2obo3b2o3bob
obo$143bob2o5bobob170o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob
2o5b2o3bobo$146b2o6bo190b2o16bo8b2o8bo21bo3bob2o12bobo5b2obo3b2o3bobob
o$144bo2b3o2bo5b188o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o
5b2o3bobo$140b2o2b2o3b2o3bo210b2o16bo8b2o8bo21bo3bob2o12bobo5b2obo3b2o
3bobobo349bo$134b2o2b4o2bo2b3o2bobob3o2b205o2b17o3b5o2b8o7b2o3b8o3bobo
6b9o2bo5b2o3b3o2bo5bob2o5b2o3bobo332bo2bo$b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2bo4bo19b2o225b2o16bo8b2o8bo21bo3bob
2o12bobo5b2obo3b2o3bobobo317b2o3b2o3bo4bo9b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o$b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b6o
8b11o3b225o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o5b2o3bobo
300b3o3b3o2bobob2o2bo6b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$138bo2bobo12bo
248b2o16bo8b2o8bo21bo3bob2o12bobo5b2obo3b2o3bobobo137bobo2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2bob
o2bo3b2o2bobo3bobobob2ob3o$138obo3bob3o2b3o2bo5b245o2b17o3b5o2b8o7b2o
3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o5b2o3bobo121bobo2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b3o6b2o
3b2o3bo5b173o$141bo5b2o3b2o3bo267b2o16bo8b2o8bo21bo3bob2o12bobo5b2obo
3b2o3bobobo274bo4bo2bo4bo3bo2b2o$141o2bob2o3b2o3bobob267o2b17o3b5o2b8o
7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o5b2o3bobo102b160o3b8obo5b3o4b170o
$141bobo301b2o16bo8b2o8bo21bo3bob2o12bobo5b2obo3b2o3bobobo97bo160bo11b
o$140o16b290o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o5b2o3bo
bo81b2o2b160ob2ob7o8bobob169o$140bo9bobobo310b2o16bo8b2o8bo21bo3bob2o
12bobo5b2obo3b2o3bobobo76b4o162b2o8b2o8bo$142o3b2obo3bo3b3o2b305o2b17o
3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o5b2o3bobo61b2o2b161o5b3o
2b2ob2o3bo5b167o$142b2o3bo2bo7b2o325b2o16bo8b2o8bo21bo3bob2o12bobo5b2o
bo3b2o3bobobo53bobo174bo6b2o3bo$143o2b2obobo3b4o3b325o2b17o3b5o2b8o7b
2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o5b2o3bobo37b171o3b3o3b5o2bobob169o$
152bo3bo348b2o16bo8b2o8bo21bo3bob2o12bobo5b2obo3b2o3bobobo204b2o4bo$
152o2b2o3b347o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o5b2o3b
2o3b2o3b2o3b2o3b172o2b186o$151bo5bo367b2o16bo8b2o8bo21bo3bob2o12bobo5b
2obo3b2o3b2o3b2o3b2o3b2o$152o7b367o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b
2o3b3o2b3o2b3o2b3o2b3o2b360o$152bo392b2o16bo8b2o8bo21bo3bob2o$154o3b
389o2b17o3b5o2b8o7b2o3b8o3bobo6b387o$154b2o409b2o16bo8b2o8bo$155o2b
409o2b17o3b5o2b8o7b2o3b387o$585b2o16bo8b2o$586o2b17o3b5o2b387o$605b2o$
606o2b394o2$1002o2$1002o2$1002o2$1002o2$1002o2$1002o2$1002o2$1002o2$
1002o2$1002o2$1002o2$1002o2$1002o2$1002o2$1002o2$1002o2$1002o2$1002o2$
1002o2$1002o2$1002o2$1002o2$1002o2$1002o2$1002o2$1002o2$1002o2$1002o2$
1002o2$1002o2$1002o2$586o2b414o$585b2o$291o2b273o2b17o3b5o2b407o$290b
2o273b2o16bo8b2o$290o3b253o2b17o3b5o2b8o7b2o3b407o$288bo256b2o16bo8b2o
8bo$288o7b231o2b17o3b5o2b8o7b2o3b8o3bobo6b407o$287bo5bo231b2o16bo8b2o
8bo21bo3bob2o$288o2b2o3b211o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o3b3o
2b400o$288bo3bo212b2o16bo8b2o8bo21bo3bob2o12bobo5b2obo3b2o$279o2b2obob
o3b4o3b189o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o5b2o3b
400o$278b2o3bo2bo7b2o189b2o16bo8b2o8bo21bo3bob2o12bobo5b2obo3b2o3bobob
o$278o3b2obo3bo3b3o2b169o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo
5bob2o5b2o3bobo17b400o$276bo9bobobo174b2o16bo8b2o8bo21bo3bob2o12bobo5b
2obo3b2o3bobobo33bobo$276o16b154o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o
3b3o2bo5bob2o5b2o3bobo41b2o2b392o$277bobo165b2o16bo8b2o8bo21bo3bob2o
12bobo5b2obo3b2o3bobobo56b4o$277o2bob2o3b2o3bobob131o2b17o3b5o2b8o7b2o
3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o5b2o3bobo61b2o2b392o$277bo5b2o3b2o3bo
131b2o16bo8b2o8bo21bo3bob2o12bobo5b2obo3b2o3bobobo77bo$274obo3bob3o2b
3o2bo5b109o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o5b2o3bobo
82b395o$274bo2bobo12bo112b2o16bo8b2o8bo21bo3bob2o12bobo5b2obo3b2o3bobo
bo$b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b6o8b11o
3b89o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o5b2o3bobo101bob
o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2bo4bo19b2o89b2o16bo8b2o8bo21bo3bob2o
12bobo5b2obo3b2o3bobobo117bobo2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o$270b2o2b4o2bo2b3o2bobob3o2b69o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o
3b3o2bo5bob2o5b2o3bobo$276b2o2b2o3b2o3bo74b2o16bo8b2o8bo21bo3bob2o12bo
bo5b2obo3b2o3bobobo$280bo2b3o2bo5b52o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo
5b2o3b3o2bo5bob2o5b2o3bobo$282b2o6bo54b2o16bo8b2o8bo21bo3bob2o12bobo5b
2obo3b2o3bobobo$279bob2o5bobob34o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o
3b3o2bo5bob2o5b2o3bobo$279bob2ob2obo37b2o16bo8b2o8bo21bo3bob2o12bobo5b
2obo3b2o3bobobo$284b2o3b4o2b11o2b17o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o3b
3o2bo5bob2o5b2o3bobo$281b3o8b2o11b2o16bo8b2o8bo21bo3bob2o12bobo5b2obo
3b2o3bobobo$291bo3b10o3b5o2b8o7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o5b
2o3bobo$283b3o2b2o13bo8b2o8bo21bo3bob2o12bobo5b2obo3b2o3bobobo$285b2o
3bo2b10o7b2o3b8o3bobo6b9o2bo5b2o3b3o2bo5bob2o5b2o3bobo$283b2o3b4o10bo
21bo3bob2o12bobo5b2obo3b2o3bobobo$293b10o3bobo6b9o2bo5b2o3b3o2bo5bob2o
5b2o3bobo$288b2o14bo3bob2o12bobo5b2obo3b2o3bobobo$290b2o3b9o2bo5b2o3b
3o2bo5bob2o5b2o3bobo$290b2obo10bobo5b2obo3b2o3bobobo$288b2o5b5o2bo5bob
2o5b2o3bobo$299b2o3bobobo$297b2o3bobo!