For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Sokwe
Moderator
Posts: 1480
Joined: July 9th, 2009, 2:44 pm

dvgrn wrote:There seem to be a lot of exact duplicates in that collection. Is that normal?
Yes. Those are ships with width less than 13, so each shifted copy occurs as a separate ship.

Edit: An observation about the new c/7 ship: two copies can interact in some boring, but nontrivial ways.

Code: Select all

x = 95, y = 158, rule = B3/S23
6bo5bo$5bobo3bobo$5bobo3bobo$6bo5bo$7bo3bo$7b2ob2o$2b3o2b2ob2o2b3o3$3b o11bo$2b2o3bo3bo3b2o$2b2ob2obobob2ob2o$8bobo$5b2obobob2o$5b2obobob2o$8bobo$8bobo$5bo2bobo2bo$6b3ob3o$8b3o$8b3o$7bo3bo$5bo2bobo2bo$3b4o5b4o$
3bo3bobobo3bo$6bo2bo2bo$3bo2bo2bo2bo2bo$4b2o3bo3b2o$9bo73bo5bo$b2o13b 2o64bobo3bobo$2b5o5b5o65bobo3bobo$4b3o5b3o68bo5bo$5b2o5b2o$5b3o3b3o66b o3b2ob2o3bo$4b2obo3bob2o65bo3b2ob2o3bo$3bo3b2ob2o3bo48bo5bo9bo11bo$4b
2o3bo3b2o48bobo3bobo$6b2o3b2o50bobo3bobo$2bob2o3bo3b2obo47bo5bo8b3ob2o
3b2ob3o$bo3bo2bobo2bo3bo60bo6bobo6bo$2b2obobo3bobob2o44bo3b2ob2o3bo9bo
bobobo$6bo5bo48bo3b2ob2o3bo5bo5bobo5bo$61bo11bo8b2obobob2o$5bo7bo69bob obobo$6b2o3b2o69b2obobob2o$7bo3bo48b3ob2o3b2ob3o7b2obobob2o$59bo6bobo
6bo8b2ob2o$5bobo3bobo50bobobobo$3bob2o5b2obo44bo5bobo5bo11bo$b2o13b2o 45b2obobob2o12b2ob2o$2bobo9bobo47bobobobo13b2ob2o$4b2o7b2o48b2obobob2o 9b3o5b3o$3b2o9b2o47b2obobob2o8b2o3b3o3b2o$3b2ob2o3b2ob2o49b2ob2o11b3o 5b3o$2b2o2b2o3b2o2b2o63bobo7bobo$5b2o5b2o53bo13bo3b3o3bo$4b3o5b3o50b2o
b2o9bobo9bobo$3b3o7b3o8b3o3b3o32b2ob2o9bo13bo$b2ob2o7b2ob2o6b3o3b3o29b
3o5b3o6bo2bo7bo2bo$2bo3bo5bo3bo44b2o3b3o3b2o6bob2o5b2obo$2bo2bo7bo2bo
45b3o5b3o$2bo13bo9b2ob2o30bobo7bobo9bo5bo$2bo2bo7bo2bo4b3o2bo3bo2b3o9b
o5bo10bo3b3o3bo9b3o3b3o$2bob2o7b2obo27bobo3bobo7bobo9bobo5b2o2bo3bo2b 2o$b2o13b2o26bobo3bobo7bo13bo4bob2o3bo3b2obo$bobo11bobo27bo5bo8bo2bo7b o2bo8b7o$3o3b2o3b2o3b3o2b2o2b2o3b2o2b2o25bob2o5b2obo5bob2o3bo3b2obo$b 2o5bobo5b2o3b2obo2bobo2bob2o6bo3b2ob2o3bo24b2obobo3bobob2o$8bobo10b5ob
obob5o6bo3b2ob2o3bo9bo5bo8b2obobo3bobob2o$4bo9bo7b3o2bobo2b3o7bo11bo8b 3o3b3o11bo5bo$3b2obo5bob2o8bo2bobo2bo28b2o2bo3bo2b2o$3b3o7b3o9bobobobo 28bob2o3bo3b2obo7bo7bo$3b2ob2o3b2ob2o8b2obobob2o8b3ob2o3b2ob3o8b7o10bo
bo5bobo$4b5ob5o10bobobobo8bo6bobo6bo3bob2o3bo3b2obo8b2o3b2o$26b2ob2o
14bobobobo8b2obobo3bobob2o7b2o5b2o$41bo5bobo5bo4b2obobo3bobob2o7b3o3b 3o$8bobo33b2obobob2o11bo5bo8bo13bo$8bobo16b3o15bobobobo27bobo9bobo$8bo
bo13bob2ob2obo11b2obobob2o10bo7bo7b2o11b2o$7b2ob2o11bo9bo10b2obobob2o 9bobo5bobo8bo9bo$23bo2b5o2bo12b2ob2o13b2o3b2o10bobo5bobo$5bo7bo9b2o7b 2o29b2o5b2o8bo2bo5bo2bo$5b2o5b2o10bo3bo3bo15bo14b3o3b3o8bo2bo5bo2bo$5b 2o5b2o8b2o4bo4b2o11b2ob2o9bo13bo5bob2o5b2obo$7b2ob2o16bo17b2ob2o9bobo
9bobo7bo7bo$8bobo10b2o11b2o7b3o5b3o6b2o11b2o4bo13bo$8b3o10b4o7b4o6b2o
3b3o3b2o7bo9bo6bob2o7b2obo$24bo7bo10b3o5b3o8bobo5bobo6bo2bo7bo2bo$24bo
7bo9bobo7bobo6bo2bo5bo2bo6b3o7b3o$7b5o31bo3b3o3bo7bo2bo5bo2bo6b2o9b2o$
7b5o13b2o3b2o9bobo9bobo5bob2o5b2obo6b2o9b2o$7bo3bo10b2ob2o3b2ob2o6bo 13bo7bo7bo7bo2bo7bo2bo$21bo2bo7bo2bo5bo2bo7bo2bo4bo13bo4bo3bo5bo3bo$21bo3b7o3bo6bob2o5b2obo5bob2o7b2obo3bo15bo$2b6o3b6o43bo2bo7bo2bo3b2obo
2bo3bo2bob2o$2bobob2o3b2obobo4b4obo3bob4o9bo5bo9b3o7b3o4bo4b2o3b2o4bo$
22bob3o3b3obo9b3o3b3o8b2o9b2o8b3o3b3o$42b2o2bo3bo2b2o6b2o9b2o7bob2o3b 2obo$41bob2o3bo3b2obo4bo2bo7bo2bo5bo2bo5bo2bo$24bo7bo12b7o8bo3bo5bo3bo 5bo2bo5bo2bo$23bobo5bobo7bob2o3bo3b2obo3bo15bo5bo9bo$24b2o5b2o8b2obobo 3bobob2o3b2obo2bo3bo2bob2o5b2ob2ob2ob2o$25bo5bo9b2obobo3bobob2o3bo4b2o
3b2o4bo8b2ob2o$45bo5bo11b3o3b3o12b2ob2o$21bobob2o3b2obobo26bob2o3b2obo
12bobo$21b2o11b2o8bo7bo8bo2bo5bo2bo9bobobobo$22bo11bo8bobo5bobo7bo2bo
5bo2bo11bobo$45b2o3b2o10bo9bo12bobo$23b2o7b2o10b2o5b2o9b2ob2ob2ob2o9bo
bo3bobo$23b3o5b3o10b3o3b3o12b2ob2o$22bo2bo5bo2bo6bo13bo9b2ob2o12b2o5b
2o$22bobo7bobo6bobo9bobo10bobo14bo5bo$23b2o7b2o7b2o11b2o8bobobobo13b2o
b2o$21bobo9bobo7bo9bo12bobo16bobo$21b3o9b3o7bobo5bobo12bobo14bo2bo2bo$24bo7bo9bo2bo5bo2bo8bobo3bobo14bo$22b2o9b2o7bo2bo5bo2bo$23bo9bo8bob2o 5b2obo8b2o5b2o14bo$44bo7bo11bo5bo12b3ob3o$22b2o9b2o6bo13bo9b2ob2o$21b
4o7b4o5bob2o7b2obo10bobo$24b2o5b2o8bo2bo7bo2bo8bo2bo2bo$20b3ob2o5b2ob
3o5b3o7b3o12bo11b2ob2o5b2ob2o$20bo4bo5bo4bo5b2o9b2o24bobob2o3b2obobo$
25bo5bo10b2o9b2o12bo$22bo2bo5bo2bo6bo2bo7bo2bo8b3ob3o$22bob2o5b2obo6bo
3bo5bo3bo$23b2o7b2o6bo15bo$23bo3bobo3bo6b2obo2bo3bo2bob2o$24bo2bobo2bo 7bo4b2o3b2o4bo3b2ob2o5b2ob2o$24bo2bobo2bo11b3o3b3o7bobob2o3b2obobo$27b obo13bob2o3b2obo$27bobo12bo2bo5bo2bo$25b2o3b2o10bo2bo5bo2bo$25b2o3b2o
11bo9bo$26bo3bo12b2ob2ob2ob2o$25b2o3b2o14b2ob2o$24b2o5b2o13b2ob2o$24b
2o5b2o14bobo$45bobobobo$26bo3bo16bobo$26b2ob2o16bobo$25b2o3b2o12bobo3b
obo$26bobobo$26b5o13b2o5b2o$25b2obob2o13bo5bo$25b2o3b2o14b2ob2o$47bobo$45bo2bo2bo$48bo$21b2ob2o5b2ob2o$21bo3bo5bo3bo12bo$22bo2bo5bo2bo10b3ob
3o4$41b2ob2o5b2ob2o$41bobob2o3b2obobo!
Since the loafer couldn't interact with itself, this is the first known way of constructing infinitely many period-7 c/7 orthogonal ships.
GUYTU6J wrote:on 2017.2.7:The 6th partial from the right in the first rle here can be used to do this.

Code: Select all

x = 17, y = 80, rule = B3/S23
7b7o$6bob4ob2o$6b4o3b2o$10b3o$8b3obo$12b2o$7b2o2b2ob2o$6bo2bo2bob2o$7b
ob3o2bo$13bo$10bo$9b2obo$6b2o3bo$6b2o2$8bo$6bo3bo$5bo5bo$4bo7bo$4b2ob
3ob2o2$8bo$6b2ob2o$4b2obobob2o$4b3o3b3o2$bobo9bobo$o2b4o3b4o2bo$bobo9b obo$5bob3obo$5bobobobo$3bob3ob3obo$8bo2$4b2o5b2o$6bo3bo$5bo5bo$4b2o5b 2o$5bo5bo$4b3o3b3o$3b5ob5o$3b3obobob3o$4bo2bobo2bo$4b3o3b3o$7bobo$5b2o bob2o$4bo7bo$5bo5bo$6b2ob2o$7bobo$6b2ob2o$6b2ob2o$4b3o3b3o$3bo3b3o3bo$
3bo4bo4bo$4bob2ob2obo$4bo2bobo2bo$2b2ob3ob3ob2o$bo3bo5bo3bo$o2bo3bobo 3bo2bo$4bo2bobo2bo$o2b2o2bobo2b2o2bo$o3b2obobob2o3bo$6b2ob2o$5bobobobo
$2bob4ob4obo$bo2bob2ob2obo2bo$2bo3b2ob2o3bo$4bob2ob2obo$7b3o$3bo9bo$3b 2ob5ob2o$8bo$7bobo$8bo$5b2o3b2o$3b2o7b2o$2bo2b2o3b2o2bo$bo3b2o3b2o3bo$bobobo5bobobo! Extending the symmetric part at width-19 doesn't get much further: Code: Select all x = 19, y = 84, rule = B3/S23 9bo$7bo3bo$6bo5bo$5bo7bo$5b2ob3ob2o2$9bo$7b2ob2o$5b2obobob2o$5b3o3b3o 2$2bobo9bobo$bo2b4o3b4o2bo$2bobo9bobo$6bob3obo$6bobobobo$4bob3ob3obo$
9bo2$5b2o5b2o$7bo3bo$6bo5bo$5b2o5b2o$6bo5bo$5b3o3b3o$4b5ob5o$4b3obobob
3o$5bo2bobo2bo$5b3o3b3o$8bobo$6b2obob2o$5bo7bo$6bo5bo$7b2ob2o$8bobo$6b ob3obo$7b2ob2o$2bo4bo3bo4bo$bo5bo3bo5bo$bo4bob3obo4bo$3bo2bo5bo2bo$2b 3o9b3o$6bobobobo$7bo3bo3$6b3ob3o$4bo2bo3bo2bo$2b2o2b2o3b2o2b2o$4bo9bo$
2o7bo7b2o$2o5bobobo5b2o$5bob2ob2obo$2bobo9bobo$3bo2bo5bo2bo$6bobobobo$
2bo4bo3bo4bo$2b2o11b2o$5bo7bo$bo3b4ob4o3bo$bo3b4ob4o3bo$9bo$9bo$7bo3bo$6b2o3b2o$4bo9bo$3bob9obo$6b7o$4bo9bo$2b3o9b3o$bobo11bobo$bo3bo2b3o2bo 3bo$b5o3bo3b5o$7bobobo$bo5b2ob2o5bo$bo5bo3bo5bo$2bo5bobo5bo$b3o3b2ob2o 3b3o$2bo3bob3obo3bo$bobob2obobob2obobo$2b4o2bobo2b4o$2bo13bo$3bobo3bo
3bobo$2b2o2bo5bo2b2o! -Matthias Merzenich GUYTU6J Posts: 695 Joined: August 5th, 2016, 10:27 am Location: My Glimmering Garden ### Re: Spaceship Discussion Thread Sokwe wrote: Edit: An observation about the new c/7 ship: two copies can interact in some boring, but nontrivial ways. Code: Select all rle One of the sparks can be used to absorb gliders: Code: Select all x = 29, y = 96, rule = B3/S23 11b2o3b2o$9b2o2bobo2b2o2$13bobo$8bo4bobo4bo$8bo3bo3bo3bo$8bo2bo5bo2bo
2$8bo11bo$8bo2b2o3b2o2bo$7bo3b2o3b2o3bo$8bo2bobobobo2bo$8b2o3bobo3b2o$
11bobobobo$11bobobobo$10b2obobob2o$13bobo$12b2ob2o3$14bo$10bob2ob2obo$10b2obobob2o$9bob2obob2obo$10bo7bo$10bo7bo$8b2o3b3o3b2o$8bo11bo$7b2o 11b2o$14bo$6bo2b3o5b3o2bo$7bo13bo2$11bo5bo$11b2obob2o$7b4o7b4o$7b3o2b
5o2b3o$11bo5bo$7b2ob3obob3ob2o$8bo2bo5bo2bo$8bo11bo2$9bo4bo4bo$10b2o5b
2o$10b2o5b2o2$8bo3bo3bo3bo$7bo4bo3bo4bo$7b3obo5bob3o3$10bo7bo$9b2o7b2o
$10bo7bo$8b3o7b3o$7bobo9bobo2$7b3o9b3o$8bo11bo$8b3o7b3o2$3o23b2o$2bo6b
o9bo6bobo$bo5b2obo7bob2o4bo$7bo3bo5bo3bo$6b3obo7bob3o$9b2o7b2o$7bob2o 7b2obo$8b3o7b3o$10bo7bo$8bobo7bobo$11b2o3b2o$10b4ob4o$8bo2bobobobo2bo$
12bo3bo$11b2o3b2o$11b2o3b2o2$12bo3bo$11bobobobo$10bo7bo$10bo7bo$11bo5b o2$12b2ob2o$12bo3bo$12bo3bo$13b3o$12bo3bo$11b2o3b2o4$7b2o3bo3bo3b2o$8b 4o5b4o$9b2o7b2o!
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.
An awesome gun firing cool spaceships:

Code: Select all

x = 3, y = 5, rule = B2kn3-ekq4i/S23ijkqr4eikry
2bo$2o$o$obo$b2o!

Sokwe
Moderator
Posts: 1480
Joined: July 9th, 2009, 2:44 pm

Two new 2c/5 tagalongs give four new small ships:

Code: Select all

x = 40, y = 132, rule = B3/S23
4bo3bo$4bo3bo$3bobo$2b3o2b2o2$5b2o$5b2o$4bo$bo$o2b4o14bo$o2b4o12b2obo$
2o10b2o2bo3bobo$11bobo3bo$10b2obo3bo$10bob2o2bo3bobo$2b2o15b2obo$2bo2b 4o12bo$2bo2b4o$3bo$6bo$7b2o$7b2o2$4b3o2b2o$5bobo$6bo3bo$6bo3bo14$4bo3b o$4bo3bo$3bobo$2b3o2b2o2$5b2o$5b2o$4bo$bo21bo$o2b4o16b2o$o2b4o12b3o$2o 10b2o2bo3bo$11bobo3bo$10b2obo3bo$10bob2o2bo3bo$2b2o15b3o$2bo2b4o14b2o$2bo2b4o14bo$3bo$6bo$7b2o$7b2o2$4b3o2b2o$5bobo$6bo3bo$6bo3bo13$37b2o$36bo$29bo4bo4bo$26b2o5b2o$25bobobob3o$25bobobob3o$12bo3bob2obobo2b2o5b
2o$11bo4bo4bobo5bo4bo4bo$11bo2b2obobobo14bo$11b2o9bo14b2o$15bob3o2bo$6bo8bo$5bobo7bo$4bo3b3o$5bob3o$6b2o2$2b2obo$bobo2bo$2o3bo$bobobo$2b2ob
2o$5bo9$35bo$29bo4bobo$26b2o5b2obo$25bobobob3o2b2o$25bobobob3o2b2o$12b o3bob2obobo2b2o5b2obo$11bo4bo4bobo5bo4bobo$11bo2b2obobobo13bo$11b2o9bo
$15bob3o2bo$6bo8bo$5bobo7bo$4bo3b3o$5bob3o$6b2o2$2b2obo$bobo2bo$2o3bo$
bobobo$2b2ob2o$5bo!
-Matthias Merzenich

mtve
Posts: 22
Joined: April 19th, 2016, 4:59 pm
Contact:

Just discovered that http://www.conwaylife.com/wiki/70P2H1V0.1 has the minimum bounding box (21 is the minimum of bigger sides, and 12 is the minimum other side for all of width 21) or period 2 spaceships, it's also the only one in 12x21 box.

dvgrn
Moderator
Posts: 5888
Joined: May 17th, 2009, 11:00 pm
Contact:

mtve wrote:Just discovered that http://www.conwaylife.com/wiki/70P2H1V0.1 has the minimum bounding box (21 is the minimum of bigger sides, and 12 is the minimum other side for all of width 21) or period 2 spaceships, it's also the only one in 12x21 box.
That "minimum bounding box" might start some arguments. Maybe "bounding box with smallest long diameter" or something along those lines?

Dean Hickerson's 64P2H1V0 has an 8x31 bounding box, which is four cells smaller in area than a 12x21 box.

Sokwe
Moderator
Posts: 1480
Joined: July 9th, 2009, 2:44 pm

Some new 2c/5 tagalongs that are closely related to these two:

Code: Select all

x = 84, y = 105, rule = B3/S23
29bo$27b2obo$25bo2bobo$21b2obo$17b2ob3obo$11bo4bo2bo5bo2bobo$10b2o3b2o
bo8b2obo$bobo2b2o2bo3bo2b2o10bo$bobo2b2o5b3o$o3bo7b2o2bo$b2ob5obo2bo2b
o$b2o14bo$3b4o2bo2bo2b2o$6bo2bo2bo4b2o$10bo7b3o$19b2o14$31bo38b2o$31b 2o36bo$27b3o36b2o4bo$25bo2bo37b2o$21b2obo33bobo3b2o$17b2ob3obo31b3o3bo b2o$11bo4bo2bo5bo2bo21b2o3bo5bo4b2o$10b2o3b2obo8b3o19bo4b2o10b2o4bo$bo
bo2b2o2bo3bo2b2o12b2o11bo2bo2bo3bo4bo9bo$bobo2b2o5b3o15bo8b2ob2o3bo3b 2obo2bo11b2o$o3bo7b2o2bo22b2obo5bo2b2o$b2ob5obo2bo2bo23bo2b5obo2b2obob o$b2o14bo23bo6bo6bo2bo$3b4o2bo2bo2b2o25b3ob3o6bo2bo$6bo2bo2bo4b2o25bob
o3bo5bob2o$10bo7b3o29bo5bo$19b2o38bo11$78bo$78b2o$69bo4b3o$32bo33b2o4b
o2bo$32b2o31bobobobo$28b3o34bobobobo$26bo2bo22bo3bob2obobo2b2o4bo2bo$
21b2ob2o25bo4bo4bobo5bo4b3o$17b2o2b2ob2o25bo2b2obobobo16b2o$12bo3bo2bo
6bo2bo21b2o9bo15bo$10b2o4b3o9b3o24bob3o2bo$2b2o2bo2bo4bo2bo14b2o12bo8b
o$b3o2b2o6b2o16bo12bobo7bo$o12bo30bo3b3o$b2ob6obob4obo26bob3o$2b2o7bo
2b2o4bo25b2o$4b3o2b4o3bo$6bo2b3o5bo24b2obo$18b2obo19bobo2bo$20bo19b2o
3bo$41bobobo$42b2ob2o$45bo9$82bo$31b2o43b2o2b2obo$30bo44bo4bo$27b2o4bo 38b2o4bo$27b2o43b2o$19bobo3b2o37bobo3b2o$17b3o3bob2o35b3o3bob2o$11b2o 3bo5bo4b2o27b2o3bo5bo4b2o$10bo4b2o10b2o4bo21bo4b2o10b2o4bo$5bo2bo2bo3b o4bo9bo4bo14bo2bo2bo3bo4bo9bo$b2ob2o3bo3b2obo2bo11b2o2b2obo7b2ob2o3bo
3b2obo2bo11b2o$2obo5bo2b2o23bo7b2obo5bo2b2o$bo2b5obo2b2obobo27bo2b5obo
2b2obobo$2bo6bo6bo2bo27bo6bo6bo2bo$3b3ob3o6bo2bo28b3ob3o6bo2bo$5bobo3b o5bob2o29bobo3bo5bob2o$11bo5bo38bo5bo$20bo44bo! -Matthias Merzenich mtve Posts: 22 Joined: April 19th, 2016, 4:59 pm Contact: ### Re: Spaceship Discussion Thread dvgrn wrote:That "minimum bounding box" might start some arguments. Maybe "bounding box with smallest long diameter" or something along those lines? Exactly, thanks for better wording! Could also be "smallest square bounding box". Sokwe Moderator Posts: 1480 Joined: July 9th, 2009, 2:44 pm ### Re: Spaceship Discussion Thread I'm interested in finding "thin" 2c/7 ships. A little over a year ago, Tim Coe found that nothing exists at search width 10 for odd symmetric or gutter symmetric searches. Unfortunately, this stretches the limits of what zfind is useful for. I double-checked the gutter result with zfind, which took about 18 hours. Here are all of the partial results: 2c7-w10-g.rle (76.15 KiB) Downloaded 279 times I gathered together the partial results that looked most promising to me: Code: Select all x = 1401, y = 60, rule = B3/S23 4bo11bo17bo11bo18bo9bo19bo9bo19bo9bo19bo9bo19bo9bo19bo9bo19bo9bo19bo9b o19bo9bo19bo9bo19bo9bo19bo9bo17bo13bo15bo13bo18bo7bo21bo7bo21bo7bo21bo 7bo21bo7bo21bo7bo21bo7bo22bo5bo23bo5bo23bo5bo23bo5bo23bo5bo23bo5bo23bo 5bo23bo5bo23bo5bo23bo5bo23bo5bo23bo5bo18bo15bo13bo15bo13bo15bo13bo15bo 13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo$4bo
11bo16bobo9bobo17bo9bo19bo9bo19bo9bo19bo9bo19bo9bo19bo9bo19bo9bo19bo9b
o19bo9bo17b2o2bo5bo2b2o15b2o2bo5bo2b2o16bobo7bobo16bo13bo15bo13bo18bo
7bo21bo7bo21bo7bo21bo7bo21bo7bo20b2o7b2o19bob2o3b2obo21bo5bo23bo5bo23b
o5bo23bo5bo23bo5bo21b4o3b4o20bobo3bobo21bobo3bobo21bobo3bobo21bobo3bob
o21bobo3bobo21bobo3bobo16bo2bo11bo2bo12bo15bo13bo15bo13bo15bo13bo15bo
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2o3b2o3b2o12b2o3bo7bo3b2o12b2obo3bobo3bob2o13b3ob2o5b2ob3o13b3o11b3o
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13b2obobo9bobob2o13b3obo3bob3o15bobo3bo3bo3bobo14bob2o7b2obo15b2ob2o5b
2ob2o15b2o2bo5bo2b2o$4bobob2ob2obobo14bo2b3o2bobo2b3o2bo11bo4bobo3bobo 4bo11b2o5b2ob2o5b2o12bobo11bobo14bo5bobo5bo17bo3bobo3bo15bo3bo9bo3bo 14bob2o5b2obo14bo2b3obo3bob3o2bo14b2obo5bob2o16b3obo5bob3o15bob4o3b4ob o13b3ob2obo3bob2ob3o13b2obob2ob2obob2o15b2obo7bob2o13b3o13b3o14b3ob2ob 2ob3o15bo15bo13bobo11bobo13bo15bo11b5o4bobo4b5o12bo4b2ob2o4bo17bo2b2ob 2o2bo16b3o4bobo4b3o12bo3b3o5b3o3bo10b3ob2ob2o3b2ob2ob3o10b2o5bo3bo5b2o 42bo15bo11b2obo13bob2o16bo5bo20b3o7b3o17bob2o5b2obo18b2o2bobo2b2o14b2o 3b2ob2ob2ob2o3b2o13b4o5b4o19b2o5b2o20b2o7b2o47b2o11b2o15bobob2o3b2obob o16bo2b2o3b2o2bo16bobo9bobo15bo3b2o3b2o3bo12bo6bo5bo6bo$2bo3b2obobob2o
3bo12b2obo11bob2o13bobob2o3b2obobo13bo4bo7bo4bo16bo2bobo2bo18b4o2bobo
2b4o14b2obo9bob2o13b2o3bo5bo3b2o15bo2b2o3b2o2bo17b2o2bo3bo2b2o13b2o4bo
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3bo7bo3bo13bo2bobo5bobo2bo14bo2b3o3b3o2bo16b2o2bo3bo2b2o13b2ob3ob3ob3o
b3ob2o11b2o4b2ob2o4b2o13bo15bo43bobo11bobo15b4o5b4o45bo4b2o3b2o4bo11b
4o3bo5bo3b4o11b3o3bo3bo3b3o42b2o3b3o3b3o3b2o10b2ob4o7b4ob2o11bobobo7bo
bobo11bo3b2ob2o3b2ob2o3bo100bobobo9bobobo12bo3b2o5b2o3bo16bo9bo17b3o9b
3o45bo2b2o5b2o2bo18bo7bo18b2ob2o5b2ob2o16bo2bo5bo2bo14b3o13b3o$2bo2bo 2b2ob2o2bo2bo43bo2bo3bobo3bo2bo48bobobobo19b2obob2ob2obob2o13b2o6bobo 6b2o13bo3bo5bo3bo16b3obo3bob3o15bo4b2o3b2o4bo11bo2b2o3bo3bo3b2o2bo16bo 5bo17b2ob6ob6ob2o16b2obobob2o18bo5bobo5bo18b2obobob2o15bobo2bo9bo2bobo 14bobobobobobo15bo2b2o9b2o2bo18b2ob2o18b8o3b8o41bob2obo2bobo2bob2obo 14bo11bo46bo4b2ob2o4bo46b2o3bobo3b2o44b2o5bo3bo5b2o16b2o5b2o16b4obo7bo b4o12bo2b2ob2ob2ob2o2bo102bo2b2o9b2o2bo10b3o3b2o5b2o3b3o13bobo7bobo16b 2obo7bob2o14b3o11b3o14b2o2b3ob3o2b2o13bob2obob2ob2obob2obo13bobob2o3b 2obobo14bob2ob2o3b2ob2obo11b2obob2o7b2obob2o$2b3o2b2o3b2o2b3o45b3obo3b
ob3o46b3o9b3o15b3o9b3o15bob2obo3bob2obo15bo4bo3bo4bo45bo13bo44bo4b2o3b
2o4bo17bo7bo15bo3b2o3bobo3b2o3bo11bo6bobo6bo17bobo3bobo47b2obo2bo3bo2b
ob2o15bob2o5b2obo14b2o2b4o3b4o2b2o12bobo2bobobobo2bobo42bo4b3o3b3o4bo
10b5o3bo3bo3b5o99b3o2b2ob2ob2ob2o2b3o39b2obo4bo3bo4bob2o9b2o4bob2ob2ob
o4b2o14b2o7b2o15bo3bo3bobo3bo3bo101bob2o2bobobobo2b2obo12bo4bobobobo4b
o15bo3bo3bo3bo18b2o7b2o16bob5o3b5obo14b2o11b2o12bo3bobo7bobo3bo10b2ob
2o3bobo3b2ob2o12bo3b2o5b2o3bo11b2o17b2o$123b3o2b2ob2o2b3o15b2o11b2o15b ob2obo3bob2obo15bobob2o3b2obobo15b3o9b3o13bo6bo3bo6bo41b2o4b2o3b2o4b2o 11b2o3b2o5b2o3b2o11bo6b2ob2o6bo11b2o6bobo6b2o12b2obobo5bobob2o43b2o3b 3ob3o3b2o12b4o2b2o3b2o2b4o11b4o2bo5bo2b4o10bo8bobo8bo73b3o2bobo2b3o 193b3obobo7bobob3o10bob3o9b3obo11b3obo9bob3o133b2obo7bob2o20b2ob2o22bo 9bo16bob3ob2ob2ob3obo14bo4b2ob2o4bo20bo3bo22bobo5bobo15bobo13bobo12bo 15bo$127bo5bo20b3o7b3o16bo2bo7bo2bo18bo7bo17bo15bo13bob2o2bo3bo2b2obo
44b2o2b2o3b2o2b2o42b3o5b2ob2o5b3o10bob2o2b2o3b2o2b2obo15bo9bo47bo13bo
45bobo9bobo15bobo3bobo3bobo72b2o2b5o3b5o2b2o190bo17bo14b3o7b3o14bobobo
2bo3bo2bobobo131bo4b2o5b2o4bo13b2obo7bob2o15bo3bo5bo3bo15b2obob2ob2obo
b2o14bo2bo2bo3bo2bo2bo48bo5bo17bo4bo7bo4bo10bo3b3o7b3o3bo$64bo2bo5bo2b o46b2o11b2o19bo5bo18b2obo3bobo3bob2o13bobo11bobo13b5o2bobo2b5o18bo5bo 49b2o11b2o42bo5bo7bo5bo14bob2o3b2obo16bo2bo9bo2bo44b2obob2ob2obob2o 162b2o6bo3bo6b2o191b2o2bo7bo2b2o12bo5bo5bo5bo11bo2b4obobob4o2bo131bo3b 2o2bobo2b2o3bo16bobo3bobo19bo2bo5bo2bo17bob2o5b2obo15bob2o2bo3bo2b2obo 71b3o5b2ob2o5b3o9bobob2ob2o3b2ob2obobo$63b2o2b2o3b2o2b2o44b2obobo5bobo
b2o12b3o4bo3bo4b3o13bobo2bo3bo2bobo18bo7bo19bo3b2ob2o3bo17bobo7bobo46b
o2bobo3bobo2bo73b2ob2obo5bob2ob2o12bobo11bobo42b2o3bo2bobo2bo3b2o372bo
5b2ob2o5bo11bobobob2o5b2obobobo159b2ob3ob3ob3ob3ob2o11b2ob2obo3bob2ob
2o13bo15bo14bob3o5b3obo14bobo3bo3bo3bobo108bo5bo$63bo13bo45bo4b2ob2o4b o13b3o2bo7bo2b3o15bo2bo3bo2bo17bo2bob2ob2obo2bo19bobobobo20bobo7bobo 137bo11bo15bo15bo41bo3bo3bo3bo3bo3bo371bobobo2bobo2bobobo223bo2b3obobo b3o2bo12b3o2bo7bo2b3o12bo2bo9bo2bo13b2o13b2o106bob2o3b2obo$63b2o3bo3bo
3b2o42b3o2bo9bo2b3o42bo13bo15bo2bob2ob2obo2bo18b2obobob2o18bo4b2ob2o4b
o132bo3bo4bobo4bo3bo11b2o13b2o45bobobo3bobobo379bobo3bobo228b4ob2ob2ob
4o13b2o15b2o12bo5b2ob2o5bo12b2o5bo3bo5b2o100b2o4bo2bobo2bo4b2o$63b2obo bo3bobob2o45bobo2bo3bo2bobo43b2o5b2ob2o5b2o13bo13bo17bobobobobobo17bob o9bobo163bobobo9bobobo671b2o2bobo5bobo2b2o14bo11bo18b3obobob3o18b5o3b 5o103b2o2bo11bo2b2o$62bo3bo7bo3bo41bo7bo3bo7bo39b2o7bobo7b2o11b5ob2ob
2ob5o15bo11bo16bobo3bobo3bobo167b2o7b2o678b2ob2o3b2ob2o17b3o7b3o14bobo
3bobobobo3bobo10bo3bo4bobo4bo3bo103b2obobobobob2o$60b3o4b2o3b2o4b3o99b 4o13b4o15bob2ob2obo21b2o5b2o18bobo2b2ob2o2bobo164bo15bo673bo4bo5bo4bo 15bobo7bobo13bobo4bo5bo4bobo11b2o4bo3bo4b2o105b3obo3bob3o$60b3ob2o2bo
3bo2b2ob3o129bobobob3o3b3obobobo41b2o5bobo5b2o165bo11bo675bo2b2o7b2o2b
o12b2obobo7bobob2o10bo3bob3o3b3obo3bo10bo3bo9bo3bo104b3o7b3o$210bobo3b obo3bobo3bobo14bo9bo16b3o3b2ob2o3b3o161b2o2bo11bo2b2o671bo15bo11bo7bo 3bo7bo11bobo3bo3bo3bobo12b3o2b2o5b2o2b3o102bobo3b2ob2o3bobo$214b3o2bob
o2b3o18b2o7b2o21bobobobo170b2o9b2o680b2o3b2o17bo3bo3bobo3bo3bo160b2o5b
o5bo5b2o$215b5ob5o17bob4o3b4obo14bob2ob3ob3ob2obo162bo2bo2bo5bo2bo2bo 672bo3bo7bo3bo13b2obo2bo3bo2bob2o162bob4o7b4obo$215bo9bo15b3o5bobo5b3o
11b2o3b2o5b2o3b2o165bo2bo3bo2bo675b3ob2o7b2ob3o17b2o3b2o167b2o2b3o5b3o
2b2o$211b4o11b4o11bo2bobob2ob2obobo2bo11b2o15b2o161b2o3bobo3bobo3b2o 671b2o15b2o12bo3bo7bo3bo162bo7bobo7bo$211bob3obo5bob3obo11bo4bob2ob2ob
o4bo192bo5bo3bo5bo672bo5bo5bo5bo11bob2obo7bob2obo$241bobobobo5bobobobo 192bo2bo2b2ob2o2bo2bo672bob4ob2ob2ob4obo11bo2bo11bo2bo$242bo2bobo5bobo
2bo915bob3o3b3obo$243b2o11b2o918bo7bo$244b3o2bobo2b3o914bo3bo9bo3bo$243bo2bobo3bobo2bo913bo3bo9bo3bo$242b2o13b2o911bo3bo3b2ob2o3bo3bo$1172bobobob2ob2obobobo$244b2ob2o3b2ob2o915bob2o2b2ob2o2b2obo$244b2o3bo bo3b2o915b2o13b2o$242b2o2bo2bobo2bo2b2o911bo3b2o2b2ob2o2b2o3bo$244bo3b o3bo3bo914b6obo3bob6o$242b3o3b2ob2o3b3o918b2o3b2o$241bo5b2o3b2o5bo$
240b3ob5o3b5ob3o!
It might be possible to extend one of these using an odd-symmetric search at a lower width to find a width-21 spaceship.
mtve wrote:Just discovered that http://www.conwaylife.com/wiki/70P2H1V0.1 has the minimum bounding box (21 is the minimum of bigger sides, and 12 is the minimum other side for all of width 21) or period 2 spaceships, it's also the only one in 12x21 box.
What method did you use to check this?

Edit: I was running the width-11 2c/5 even symmetric knightt search, but it was well beyond the point of finding interesting results, so I stopped it. Here is the output at the time it was stopped:
knightt-2c5-w11-e-incomplete.zip
It is probably possible to find a few new 2c/5 puffers by removing the back ends of some of the ships in this collection. As an example, here is a new period-10 ship:

Code: Select all

x = 22, y = 115, rule = B3/S23
3bo14bo$2bobo12bobo$b2ob2o10b2ob2o$b2o2bo10bo2b2o$4bobo8bobo$4bobo8bob o$b2obob2o6b2obob2o$2bobo12bobo$3b2ob2o6b2ob2o$4bob2obo2bob2obo$7bobo
2bobo$4b2obobo2bobob2o$4b2o3b4o3b2o$5bo3bo2bo3bo$6bo2bo2bo2bo$4b4o6b4o$2b2o2bo8bo2b2o$bo3bo10bo3bo$bo4bo8bo4bo$bo4b2o6b2o4bo$2b2o2bo8bo2b2o$2b2obo10bob2o3$3b2o12b2o$2bo2bo10bo2bo2$3bobo10bobo2$4bo12bo$3bobo10bo
bo$3bobo10bobo$2bo3bo8bo3bo$2b2ob2o8b2ob2o$bo5bo6bo5bo$2bo3bo8bo3bo$3b
obo10bobo$2b2ob2o8b2ob2o$2b2ob2o8b2ob2o2$bo5bo6bo5bo$2o5b2o4b2o5b2o$2b obobo8bobobo$3b3o10b3o2$3bobo10bobo$6bo8bo$3b4o8b4o$2bo4b2o4b2o4bo$2bo b5o4b5obo$b2ob2o10b2ob2o$6bo8bo$b2o16b2o$bo2b2obo6bob2o2bo$b3o3bo6bo3b
3o$2bob2o2bo4bo2b2obo$2bo3b4o2b4o3bo$9bo2bo$2bo5b2o2b2o5bo$2b2o14b2o$b
o7bo2bo7bo$b3obo4b2o4bob3o$bo3bo10bo3bo$bob2o12b2obo2$bo3bo10bo3bo$4bo b2o6b2obo$b3o2b2o6b2o2b3o$b2o2b2o8b2o2b2o$5b3o6b3o$6b2o6b2o2$4bo3bo4bo
3bo$5b2obo4bob2o$8bo4bo$4bobo8bobo$4bo2bobo2bobo2bo$5bobobo2bobobo$6b
3o4b3o$7b8o2$6b3o4b3o$5b2o8b2o$5b2o8b2o$3bo14bo$3bo2b2o6b2o2bo$8b2o2b 2o$8bo4bo$5bo10bo$5b2o8b2o$9bo2bo$6b3o4b3o$5bo10bo$8b2o2b2o$9bo2bo$b2o
2b2obo4bob2o2b2o$bobobo10bobobo$bobobo2b2o2b2o2bobobo$7b3o2b3o2$9bo2bo
$6bo2bo2bo2bo$7bobo2bobo$4bo3b2o2b2o3bo$2b2ob3obo2bob3ob2o$2b2o3b2o4b 2o3b2o$3bo2b2obo2bob2o2bo$2b3o4bo2bo4b3o$2b3o3b2o2b2o3b3o$3bobo2b2o2b 2o2bobo$4b3obo4bob3o$4bo12bo$9bo2bo$5bob2ob2ob2obo$6bo8bo!
There isn't a great need for more 2c/5 puffer engines, as Paul Tooke found a lot back in the early 2000s. The only types of puffers we still need at this speed are p10 and p15 rakes.

Edit 2: I tried extending all of the "promising" 2c/7 partial results wherever the width shrank to 19, but I didn't find any significant extensions, much less spaceships.
-Matthias Merzenich

GUYTU6J
Posts: 695
Joined: August 5th, 2016, 10:27 am
Location: My Glimmering Garden

What a pity

Code: Select all

x = 21, y = 91, rule = B3/S23
2b7o3b7o$b2ob4obobob4ob2o$b2o3b4ob4o3b2o$3b3o9b3o$3bob3o5b3obo$2b2o13b 2o$2ob2o2b2o3b2o2b2ob2o$2obo2bo2bobo2bo2bob2o$bo2b3obo3bob3o2bo$2bo15b o$5bo9bo$3bob2o7b2obo$4bo3b2ob2o3bo$8b2ob2o2$10bo$8b2ob2o$8b2ob2o$5b3o 5b3o$4b2o3b3o3b2o$5b3o5b3o$4bobo7bobo$5bo3b3o3bo$3bobo9bobo$3bo13bo$3b
o2bo7bo2bo$4bob2o5b2obo2$7bo5bo$6b3o3b3o$4b2o2bo3bo2b2o$3bob2o3bo3b2ob o$7b7o$3bob2o3bo3b2obo$3b2obobo3bobob2o$3b2obobo3bobob2o$7bo5bo2$6bo7b o$5bobo5bobo$7b2o3b2o$6b2o5b2o$6b3o3b3o$3bo13bo$3bobo9bobo$3b2o11b2o$5bo9bo$5bobo5bobo$4bo2bo5bo2bo$4bo2bo5bo2bo$4bob2o5b2obo$6bo7bo$3bo13b o$3bob2o7b2obo$3bo2bo7bo2bo$4b3o7b3o$4b2o9b2o$4b2o9b2o$3bo2bo7bo2bo$3b
o3bo5bo3bo$2bo15bo$2b2obo2bo3bo2bob2o$2bo4b2o3b2o4bo$6b3o3b3o$5bob2o3b 2obo$4bo2bo5bo2bo$4bo2bo5bo2bo$5bo9bo$5b2ob2ob2ob2o$8b2ob2o$8b2ob2o$9b
obo$7bobobobo$9bobo$9bobo$6bobo3bobo2$6b2o5b2o$7bo5bo$8b2ob2o$9bobo$7b o2bo2bo$10bo2$10bo$7b3ob3o4$3b2ob2o5b2ob2o$3bobob2o3b2obobo!
# [[ LOOP 8 ]] #
# [[ GPS 2 ]] #
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.
An awesome gun firing cool spaceships:

Code: Select all

x = 3, y = 5, rule = B2kn3-ekq4i/S23ijkqr4eikry
2bo$2o$o$obo$b2o!

GUYTU6J
Posts: 695
Joined: August 5th, 2016, 10:27 am
Location: My Glimmering Garden

I tried to find a tagalog for both one 339p7h1v0 and two 339p7h1v0s side by side,and here are the best partials

Code: Select all

x = 359, y = 137, rule = B3/S23
6bo5bo21bo5bo35bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo
23bo5bo13bo5bo23bo5bo13bo5bo$5bobo3bobo19bobo3bobo33bobo3bobo11bobo3bo bo21bobo3bobo11bobo3bobo21bobo3bobo11bobo3bobo21bobo3bobo11bobo3bobo 21bobo3bobo11bobo3bobo21bobo3bobo11bobo3bobo$5bobo3bobo19bobo3bobo33bo
bo3bobo11bobo3bobo21bobo3bobo11bobo3bobo21bobo3bobo11bobo3bobo21bobo3b
obo11bobo3bobo21bobo3bobo11bobo3bobo21bobo3bobo11bobo3bobo$6bo5bo21bo 5bo35bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo 5bo23bo5bo13bo5bo$7bo3bo23bo3bo37bo3bo15bo3bo25bo3bo15bo3bo25bo3bo15bo
3bo25bo3bo15bo3bo25bo3bo15bo3bo25bo3bo15bo3bo$7b2ob2o23b2ob2o37b2ob2o 15b2ob2o25b2ob2o15b2ob2o25b2ob2o15b2ob2o25b2ob2o15b2ob2o25b2ob2o15b2ob 2o25b2ob2o15b2ob2o$2b3o2b2ob2o2b3o13b3o2b2ob2o2b3o27b3o2b2ob2o2b3o5b3o
2b2ob2o2b3o15b3o2b2ob2o2b3o5b3o2b2ob2o2b3o15b3o2b2ob2o2b3o5b3o2b2ob2o
2b3o15b3o2b2ob2o2b3o5b3o2b2ob2o2b3o15b3o2b2ob2o2b3o5b3o2b2ob2o2b3o15b
3o2b2ob2o2b3o5b3o2b2ob2o2b3o3$3bo11bo15bo11bo29bo11bo7bo11bo17bo11bo7b o11bo17bo11bo7bo11bo17bo11bo7bo11bo17bo11bo7bo11bo17bo11bo7bo11bo$2b2o
3bo3bo3b2o13b2o3bo3bo3b2o27b2o3bo3bo3b2o5b2o3bo3bo3b2o15b2o3bo3bo3b2o
5b2o3bo3bo3b2o15b2o3bo3bo3b2o5b2o3bo3bo3b2o15b2o3bo3bo3b2o5b2o3bo3bo3b
2o15b2o3bo3bo3b2o5b2o3bo3bo3b2o15b2o3bo3bo3b2o5b2o3bo3bo3b2o$2b2ob2obo bob2ob2o13b2ob2obobob2ob2o27b2ob2obobob2ob2o5b2ob2obobob2ob2o15b2ob2ob obob2ob2o5b2ob2obobob2ob2o15b2ob2obobob2ob2o5b2ob2obobob2ob2o15b2ob2ob obob2ob2o5b2ob2obobob2ob2o15b2ob2obobob2ob2o5b2ob2obobob2ob2o15b2ob2ob obob2ob2o5b2ob2obobob2ob2o$8bobo25bobo39bobo17bobo27bobo17bobo27bobo
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23b3ob3o13b3ob3o23b3ob3o13b3ob3o23b3ob3o13b3ob3o23b3ob3o13b3ob3o$8b3o 25b3o39b3o17b3o27b3o17b3o27b3o17b3o27b3o17b3o27b3o17b3o27b3o17b3o$8b3o
25b3o39b3o17b3o27b3o17b3o27b3o17b3o27b3o17b3o27b3o17b3o27b3o17b3o$7bo 3bo23bo3bo37bo3bo15bo3bo25bo3bo15bo3bo25bo3bo15bo3bo25bo3bo15bo3bo25bo 3bo15bo3bo25bo3bo15bo3bo$5bo2bobo2bo19bo2bobo2bo33bo2bobo2bo11bo2bobo
2bo21bo2bobo2bo11bo2bobo2bo21bo2bobo2bo11bo2bobo2bo21bo2bobo2bo11bo2bo
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3bo17bo3bobobo3bo7bo3bobobo3bo17bo3bobobo3bo7bo3bobobo3bo17bo3bobobo3b
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17bo2bo2bo2bo2bo7bo2bo2bo2bo2bo17bo2bo2bo2bo2bo7bo2bo2bo2bo2bo17bo2bo
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5b5o5b5o5b5o15b5o5b5o5b5o5b5o15b5o5b5o5b5o5b5o15b5o5b5o5b5o5b5o15b5o5b
5o5b5o5b5o$4b3o5b3o17b3o5b3o31b3o5b3o9b3o5b3o19b3o5b3o9b3o5b3o19b3o5b 3o9b3o5b3o19b3o5b3o9b3o5b3o19b3o5b3o9b3o5b3o19b3o5b3o9b3o5b3o$5b2o5b2o
19b2o5b2o33b2o5b2o11b2o5b2o21b2o5b2o11b2o5b2o21b2o5b2o11b2o5b2o21b2o5b
2o11b2o5b2o21b2o5b2o11b2o5b2o21b2o5b2o11b2o5b2o$5b3o3b3o19b3o3b3o33b3o 3b3o11b3o3b3o21b3o3b3o11b3o3b3o21b3o3b3o11b3o3b3o21b3o3b3o11b3o3b3o21b 3o3b3o11b3o3b3o21b3o3b3o11b3o3b3o$4b2obo3bob2o17b2obo3bob2o31b2obo3bob
2o9b2obo3bob2o19b2obo3bob2o9b2obo3bob2o19b2obo3bob2o9b2obo3bob2o19b2ob
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3b2o31b2o3bo3b2o9b2o3bo3b2o19b2o3bo3b2o9b2o3bo3b2o19b2o3bo3b2o9b2o3bo
3b2o19b2o3bo3b2o9b2o3bo3b2o19b2o3bo3b2o9b2o3bo3b2o19b2o3bo3b2o9b2o3bo
3b2o$6b2o3b2o21b2o3b2o35b2o3b2o13b2o3b2o23b2o3b2o13b2o3b2o23b2o3b2o13b 2o3b2o23b2o3b2o13b2o3b2o23b2o3b2o13b2o3b2o23b2o3b2o13b2o3b2o$2bob2o3bo
3b2obo13bob2o3bo3b2obo27bob2o3bo3b2obo5bob2o3bo3b2obo15bob2o3bo3b2obo
5bob2o3bo3b2obo15bob2o3bo3b2obo5bob2o3bo3b2obo15bob2o3bo3b2obo5bob2o3b
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27b2obobo3bobob2o5b2obobo3bobob2o15b2obobo3bobob2o5b2obobo3bobob2o15b
2obobo3bobob2o5b2obobo3bobob2o15b2obobo3bobob2o5b2obobo3bobob2o15b2obo
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9b2o7b2o9b2o17b2o9b2o7b2o9b2o17b2o9b2o7b2o9b2o17b2o9b2o7b2o9b2o17b2o9b
2o7b2o9b2o$3b2ob2o3b2ob2o15b2ob2o3b2ob2o29b2ob2o3b2ob2o7b2ob2o3b2ob2o 17b2ob2o3b2ob2o7b2ob2o3b2ob2o17b2ob2o3b2ob2o7b2ob2o3b2ob2o17b2ob2o3b2o b2o7b2ob2o3b2ob2o17b2ob2o3b2ob2o7b2ob2o3b2ob2o17b2ob2o3b2ob2o7b2ob2o3b 2ob2o$2b2o2b2o3b2o2b2o13b2o2b2o3b2o2b2o27b2o2b2o3b2o2b2o5b2o2b2o3b2o2b
2o15b2o2b2o3b2o2b2o5b2o2b2o3b2o2b2o15b2o2b2o3b2o2b2o5b2o2b2o3b2o2b2o
15b2o2b2o3b2o2b2o5b2o2b2o3b2o2b2o15b2o2b2o3b2o2b2o5b2o2b2o3b2o2b2o15b
2o2b2o3b2o2b2o5b2o2b2o3b2o2b2o$5b2o5b2o19b2o5b2o33b2o5b2o11b2o5b2o21b 2o5b2o11b2o5b2o21b2o5b2o11b2o5b2o21b2o5b2o11b2o5b2o21b2o5b2o11b2o5b2o 21b2o5b2o11b2o5b2o$4b3o5b3o17b3o5b3o31b3o5b3o9b3o5b3o19b3o5b3o9b3o5b3o
19b3o5b3o9b3o5b3o19b3o5b3o9b3o5b3o19b3o5b3o9b3o5b3o19b3o5b3o9b3o5b3o$3b3o7b3o15b3o7b3o29b3o7b3o7b3o7b3o17b3o7b3o7b3o7b3o17b3o7b3o7b3o7b3o 17b3o7b3o7b3o7b3o17b3o7b3o7b3o7b3o17b3o7b3o7b3o7b3o$b2ob2o7b2ob2o11b2o
b2o7b2ob2o25b2ob2o7b2ob2o3b2ob2o7b2ob2o13b2ob2o7b2ob2o3b2ob2o7b2ob2o
13b2ob2o7b2ob2o3b2ob2o7b2ob2o13b2ob2o7b2ob2o3b2ob2o7b2ob2o13b2ob2o7b2o
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15bo2bo7bo2bo5bo2bo7bo2bo15bo2bo7bo2bo5bo2bo7bo2bo15bo2bo7bo2bo5bo2bo
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13b2o3b2o13b2o13b2o13b2o3b2o13b2o13b2o13b2o3b2o13b2o13b2o13b2o3b2o13b
2o13b2o13b2o3b2o13b2o$bobo11bobo11bobo11bobo25bobo11bobo3bobo11bobo13b obo11bobo3bobo11bobo13bobo11bobo3bobo11bobo13bobo11bobo3bobo11bobo13bo bo11bobo3bobo11bobo13bobo11bobo3bobo11bobo$3o3b2o3b2o3b3o9b3o3b2o3b2o
3b3o23b3o3b2o3b2o3b3ob3o3b2o3b2o3b3o11b3o3b2o3b2o3b3ob3o3b2o3b2o3b3o
11b3o3b2o3b2o3b3ob3o3b2o3b2o3b3o11b3o3b2o3b2o3b3ob3o3b2o3b2o3b3o11b3o
3b2o3b2o3b3ob3o3b2o3b2o3b3o11b3o3b2o3b2o3b3ob3o3b2o3b2o3b3o$b2o5bobo5b 2o11b2o5bobo5b2o25b2o5bobo5b2o3b2o5bobo5b2o13b2o5bobo5b2o3b2o5bobo5b2o 13b2o5bobo5b2o3b2o5bobo5b2o13b2o5bobo5b2o3b2o5bobo5b2o13b2o5bobo5b2o3b 2o5bobo5b2o13b2o5bobo5b2o3b2o5bobo5b2o$8bobo25bobo39bobo17bobo27bobo
17bobo27bobo17bobo27bobo17bobo27bobo17bobo27bobo17bobo$4bo9bo17bo9bo 31bo9bo9bo9bo19bo9bo9bo9bo19bo9bo9bo9bo19bo9bo9bo9bo19bo9bo9bo9bo19bo 9bo9bo9bo$3b2obo5bob2o15b2obo5bob2o29b2obo5bob2o7b2obo5bob2o17b2obo5bo
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7b2ob2o3b2ob2o17b2ob2o3b2ob2o7b2ob2o3b2ob2o17b2ob2o3b2ob2o7b2ob2o3b2ob
2o17b2ob2o3b2ob2o7b2ob2o3b2ob2o17b2ob2o3b2ob2o7b2ob2o3b2ob2o17b2ob2o3b
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39bobo17bobo27bobo17bobo27bobo17bobo27bobo17bobo27bobo17bobo27bobo17bo
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11bo7bo21bo7bo11bo7bo21bo7bo11bo7bo$5b2o5b2o19b2o5b2o33b2o5b2o11b2o5b 2o21b2o5b2o11b2o5b2o21b2o5b2o11b2o5b2o21b2o5b2o11b2o5b2o21b2o5b2o11b2o 5b2o21b2o5b2o11b2o5b2o$5b2o5b2o19b2o5b2o33b2o5b2o11b2o5b2o21b2o5b2o11b
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3o$235b2o2bo2b2o37b2o2bob5obo2b2o35b2o2b2ob2o2b2o$282bob3o2bo2b3obo39b
2o3b2o$333bobobo3bobobo$332bo4bobobo4bo$333bo2bob3obo2bo$336bo5bo$336b 2o3b2o$332b3o2b2ob2o2b3o$332b2o3b5o3b2o! Current status: outside the continent of cellular automata. Specifically, not on the plain of life. An awesome gun firing cool spaceships: Code: Select all x = 3, y = 5, rule = B2kn3-ekq4i/S23ijkqr4eikry 2bo$2o$o$obo$b2o! GUYTU6J Posts: 695 Joined: August 5th, 2016, 10:27 am Location: My Glimmering Garden ### Re: Spaceship Discussion Thread Sorry to make multiple posts,but the rle gets really long... Just finished w9 gutter search,negative result.All partials with length>150 are shown below. Code: Select all x = 1039, y = 176, rule = B3/S23 6bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo 23bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo 23bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo 23bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo23bo5bo13bo5bo 23bo5bo13bo5bo$5bobo3bobo11bobo3bobo21bobo3bobo11bobo3bobo21bobo3bobo
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ob2o$910b3o2b3o3b3o2b3o$911bo2b2o7b2o2bo$911b2o13b2o$911bo4b2o3b2o4bo$911bobo2bobobobo2bobo! Why gutter search behaves so differently? Current status: outside the continent of cellular automata. Specifically, not on the plain of life. An awesome gun firing cool spaceships: Code: Select all x = 3, y = 5, rule = B2kn3-ekq4i/S23ijkqr4eikry 2bo$2o$o$obo$b2o! GUYTU6J Posts: 695 Joined: August 5th, 2016, 10:27 am Location: My Glimmering Garden ### Re: Spaceship Discussion Thread I promise this is the last post in this topic tonight because later I will be dealing with tons of homework. Sokwe wrote: I don't think many searches for a loafer tagalong have been done, but it seems difficult for anything to attach to that back spark. Search with parameters "b3/s23 p7 k1 w9 s2 l1500 g" and double loafer as front end,it seems easier: Code: Select all x = 919, y = 97, rule = B3/S23 bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo 13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo 15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo 13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo$obo13bobo11bobo13bobo11bobo
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2obo9bob2o15b2obo5bob2o45b2o13b2o15b2ob2o3b2ob2o17b2ob2o3b2ob2o17b2ob
2o3b2ob2o17b2ob2o3b2ob2o17b2ob2o3b2ob2o17b2ob2o3b2ob2o75bobo2b2o3b2o2b
obo16bo9bo$300bob2o3bo3bo3b2obo44bo3bo3bo3bo15bobo4bobo4bobo14bo13bo 16bobobo3bobobo45bo3b3o3b3o3bo17bo7bo21bo7bo21bo7bo21bo7bo21bo7bo21bo 7bo76bo2b2o3bobo3b2o2bo17bo5bo$363b3o7b3o15b3obo7bob3o14b6o3b6o17b2obo
3bob2o47b2obo7bob2o19b2o3b2o23b2o3b2o23b2o3b2o23b2o3b2o23b2o3b2o23b2o
3b2o111b3o5b3o$362bobobo5bobobo15b4o2bobo2b4o15bo4bo3bo4bo21bobo86bo3b o25bo3bo25bo3bo25bo3bo25bo3bo25bo3bo111bo11bo$396bobobobo19bo5bobo5bo
17b2obo3bob2o48b3o7b3o20bo5bo23bo5bo23bo5bo23bo5bo23bo5bo23bo5bo110bo
2bo5bo2bo$392bo5bobo5bo19bo5bo20bo11bo46bo2bo7bo2bo15b3o9b3o256bo3bo3b o3bo$391b2o13b2o14bobo2b2ob2o2bobo14bob2o9b2obo43b2o3bo5bo3b2o13bo5bo
3bo5bo16b2o2bobo2b2o19b2o2bobo2b2o19b2o2bobo2b2o19b2o2bobo2b2o19b2o2bo
bo2b2o109b2ob2ob2ob2o$392bob3o5b3obo17bo3bobo3bo17b2ob2o5b2ob2o43bo2bo 3bo3bo3bo2bo12bo3bob2ob2obo3bo16bob3ob3obo19bob3ob3obo19bob3ob3obo19bo b3ob3obo19bob3ob3obo110b2obobob2o$393bo3bo3bo3bo15b4obobobobob4o16b2ob
2ob2ob2o45b4o2bo5bo2b4o11bo17bo14bo2b2o3b2o2bo17bo2b2o3b2o2bo17bo2b2o
3b2o2bo17bo2b2o3b2o2bo17bo2b2o3b2o2bo$393b3ob2ob2ob3o15bob2o3bobo3b2ob o16bo3bobo3bo47bob2obo3bob2obo18bob2ob2obo18bo13bo15bo13bo15bo13bo15bo 13bo15bo13bo$391bobobob2ob2obobobo13b2o2bo7bo2b2o15bo4bobo4bo46b2ob2o
5b2ob2o15b2o3bo3bo3b2o16b2o9b2o17b2o9b2o17b2o9b2o17b2o9b2o17b2o9b2o$422bo2bo2bobo2bo2bo15b2obo7bob2o45bo13bo15b2ob2o5b2ob2o17bo9bo19bo9bo 19bo9bo19bo9bo19bo9bo$421bo3bo2bobo2bo3bo14b2o2b3ob3o2b2o43b2o3bo7bo3b
2o13bo3b2o3b2o3bo13b2o2b2ob2ob2ob2o2b2o11b2o2b2ob2ob2ob2o2b2o11b2o2b2o
b2ob2ob2o2b2o11b2o2b2ob2ob2ob2o2b2o11b2o2b2ob2ob2ob2o2b2o$421b3o4bobo 4b3o17bo7bo78bobob2o3b2obobo13bobob3obobob3obobo11bobob3obobob3obobo 11bobob3obobob3obobo11bobob3obobob3obobo11bobob3obobob3obobo$451bo2bob
o5bobo2bo44b3ob2o3b2ob3o14b2obo2bo3bo2bob2o13b2o5bobo5b2o13b2o5bobo5b
2o13b2o5bobo5b2o13b2o5bobo5b2o13b2o5bobo5b2o$450bob4o7b4obo47b2o3b2o 18b4o9b4o14bo5bobo5bo15bo5bobo5bo15bo5bobo5bo15bo5bobo5bo15bo5bobo5bo$
450bob2ob3o3b3ob2obo44bo4bobo4bo14bo2bo3bo3bo3bo2bo19bobo27bobo27bobo
27bobo27bobo$510b2o15b2o16bo2bobo2bo18b2o2bobobobo2b2o15b2o2bobobobo2b 2o15b2o2bobobobo2b2o15b2o2bobobobo2b2o15b2o2bobobobo2b2o$511b3o2b2o3b
2o2b3o15bo3b2ob2o3bo15b3o11b3o13b3o11b3o13b3o11b3o13b3o11b3o13b3o11b3o
$511bo3bo7bo3bo14bobob2o3b2obobo15b2o11b2o15b2o11b2o15b2o11b2o15b2o11b 2o15b2o11b2o$543b2ob2o3b2ob2o16b4o7b4o15b4o7b4o15b4o7b4o15b4o7b4o15b4o
7b4o$543bo11bo16b4obo3bob4o16b3obo3bob3o17b3obo3bob3o17b3obo3bob3o17b 3obo3bob3o$543bob3o3b3obo21bo3bo25bo3bo25bo3bo25bo3bo25bo3bo$541bob2o 9b2obo14b3o2bo3bo2b3o17b2obo3bob2o19b2obo3bob2o19b2obo3bob2o19b2obo3bo b2o$541b3o3bo3bo3b3o16b2obo3bob2o19b2obo3bob2o19b2obo3bob2o19b2obo3bob
2o19b2obo3bob2o$541bobob3o3b3obobo15b2o9b2o22bobo27bobo27bobo27bobo$
575b4ob4o22b3ob3o23b3ob3o23b3ob3o23b3ob3o$572bobobo5bobobo17bo2bo3bo2b o20bo2bobo2bo21bo2bobo2bo21bo2bobo2bo$572bobo9bobo79b2o3b2o$571bo5b2ob 2o5bo19b2ob2o23b2o5b2o17b2o2b2o5b2o2b2o19b2ob2o$571bo4bo5bo4bo47b2o5b
2o18b3ob2o3b2ob3o14bo4b2o3b2o4bo$571b3o3b2ob2o3b3o16bo9bo16b4o9b4o16b 2o2bobo2b2o15bo4b3o3b3o4bo$572bo4b2ob2o4bo16bob4ob4obo15bo4b2o3b2o4bo
13bo6bobo6bo15bobo7bobo$570b2o2bobo5bobo2b2o12b2obob2o3b2obob2o14b2o4b obo4b2o13bo2b2obobobobob2o2bo11b2ob4o5b4ob2o$577bo3bo51bobob2ob2obobo
15b2obobo5bobob2o20bobo$603bo3b2ob2o3bo19bobo3bobo17b3obo7bob3o15b3o2b obo2b3o$600b3o3b2o3b2o3b3o13bo2b2o5b2o2bo16bo2b2o3b2o2bo15b3o4bobo4b3o
$601b2o3b2o3b2o3b2o12b3o2b2o5b2o2b3o14bob3o3b3obo14bob6o3b6obo$601b3o
11b3o16b2o7b2o16b2o4b2ob2o4b2o19bo3bo$600bo3b5ob5o3bo18b2ob2o22b2o7b2o 15bobob3o5b3obobo$630b2o3bo7bo3b2o12bo3bob2ob2obo3bo13b2o5bobo5b2o$630b2o6bobo6b2o14b3ob2ob2ob3o15b3o4bobo4b3o$662bo13bo16bo11bo$693b2obo bobobob2o$693bobob2ob2obobo$694bo9bo! Current status: outside the continent of cellular automata. Specifically, not on the plain of life. An awesome gun firing cool spaceships: Code: Select all x = 3, y = 5, rule = B2kn3-ekq4i/S23ijkqr4eikry 2bo$2o$o$obo$b2o! AbhpzTa Posts: 475 Joined: April 13th, 2016, 9:40 am Location: Ishikawa Prefecture, Japan ### Re: Spaceship Discussion Thread Presumably 3c/7 puffers are constructible: Code: Select all x = 56, y = 254, rule = B3/S23 9bo7bo$8bobo5bobo$7b2ob2o3b2ob2o$8bobo5bobo$6bob2o3bo3b2obo$6b7ob7o$10b7o$9bob2ob2obo$6b2obo7bob2o$5b3ob2o5b2ob3o$4bo17bo$7bob2o5b2obo2$11bo3bo$6bob3o5b3obo$7bob3o3b3obo$11bo3bo$10b2o3b2o$9b2o5b2o$8b3o5b3o$
5b4o9b4o$4bo17bo$3b2o3b2o7b2o3b2o$4bobobobo5bobobobo$4b3o2b3o3b3o2b3o$9bo7bo$4bo17bo2$4bobobo9bobobo$6b3o9b3o$3bob3o2bo5bo2b3obo$4b2ob3o7b3o
b2o$8b2o7b2o$8bob2o3b2obo$8bo3bobo3bo$3o5bo3bobo3bo5b3o$ob2o6bo5bo6b2o bo$o2bo3b2ob2o3b2ob2o3bo2bo$3bo2b2o3bo3bo3b2o2bo$7bo2bo5bo2bo$2bobobob o9bobobobo$2obo19bob2o$6bo13bo$3b2o17b2o2$2bo21bo$b2o21b2o$2o23b2o2$2o
23b2o$bo23bo$2bo4bobo7bobo4bo$b3o4bob2o3b2obo4b3o$b3o2bobob2o3b2obobo
2b3o$6bo2b2o5b2o2bo$5b4o9b4o2$3b2o17b2o$3b2o2b2o9b2o2b2o$4bo2bobo7bobo 2bo$bo2bobo2bo3bo3bo2bobo2bo$bo4bo3bob3obo3bo4bo$2bobobo4bobobo4bobobo
12bo7bo$4bobo4bo3bo4bobo12b2ob2o3b2ob2o$2b4o2bobo5bobo2b4o10b2ob2o3b2o
b2o$2b3ob2ob2ob3ob2ob2ob3o13b2o3b2o$11b5o18bo5b3o5bo$8bobo5bobo15bo13b o$8bob2o3b2obo16bo11bo$13bo22b2o7b2o$13bo19bobobobo3bobobobo$7b2o9b2o 13bobob2o5b2obobo$7b2obo5bob2o13bobo11bobo$7bob2obobob2obo$9b2obobob2o
20bo5bo$6bobobobobobobobo16b2o5b2o$6b2o2bo5bo2b2o14b2o9b2o$7bob2o5b2ob o15bo3bo3bo3bo$9b2o5b2o19bo2bobo2bo$8bo9bo18bobo3bobo$8b3o5b3o17bo9bo$34bo3bo5bo3bo$33b4o9b4o$31b2obo2bo7bo2bob2o$9bo7bo13b2o2b3o7b3o2b2o$8b 2obo3bob2o15bobo2bo3bo2bobo$8bo2bo3bo2bo13bob3o2bo3bo2b3obo$8b3o5b3o 13bo4bo7bo4bo$10b3ob3o$11b2ob2o17bo15bo$12bobo18b2obo9bob2o$11b2ob2o 16bo3b2o7b2o3bo$9b2o2bo2b2o$13bo18b2o4bo5bo4b2o$8b2o7b2o$7b3obo3bob3o 15b2ob2o3b2ob2o$6bo2bo7bo2bo8bo5b2o3bobo3b2o5bo$7bo11bo8bob2o5bobo3bob o5b2obo$8bo9bo8b2o2bo3b2obo5bob2o3bo2b2o$5b2ob2o7b2ob2o7bob2ob6o3b6ob 2obo$8bo9bo15bo2bobo3bobo2bo$4bo3b2o7b2o3bo8bobo2bo9bo2bobo$5b6o5b6o7b
3o3bo11bo3b3o$9bo7bo11b3obobo11bobob3o$8b2obo3bob2o11b3o17b3o$9bob2ob 2obo$8bo9bo12bo19bo$9bobo3bobo11b2o21b2o$7bobobo3bobobo8bobo21bobo$9bo b5obo10b3o21b3o$8b2ob2ob2ob2o$8b4o3b4o9b2o23b2o$7bo2bo5bo2bo8b3o21b3o$6bo2bo7bo2bo10bo4b3o5b3o4bo$7bob2o5b2obo16bo2bo3bo2bo$5bob2o9b2obo7bob o4bo9bo4bobo$5b2o13b2o8bo7b2o3b2o7bo$5b2o13b2o11b5o7b5o$6b2o2b3ob3o2b
2o11b4o11b4o$6b2o2b2o3b2o2b2o10b2o17b2o$9b2o5b2o15bob2o9b2obo$6bo2bo7b o2bo11bob2obo7bob2obo$6bo2bo7bo2bo13b5ob3ob5o$5b2obo9bob2o7b3o2b2o2b2o 3b2o2b2o2b3o$5bo2bo3b3o3bo2bo9bo2b2o2b2obob2o2b2o2bo$5bo2bo3b3o3bo2bo 8bo3b2o2b3ob3o2b2o3bo$8bo2bo3bo2bo11bo5bobob3obobo5bo$4b2obo4b3o4bob2o 7bo3b5o5b5o3bo$3b6o3bobo3b6o7bo3b2o9b2o3bo$3bo19bo14bo2bo2bo$7bo2b3ob
3o2bo18b2o3b2o$7bo3bo3bo3bo20bobo$7bo11bo$12b3o20b3o7b3o$13bo20bo3b2o
3b2o3bo$10b3ob3o18bo11bo$11b2ob2o19bo4bobo4bo$34bobobo5bobobo$34bo3bo
5bo3bo$34b2o3bo3bo3b2o$38bo5bo$36bo9bo$36b2o7b2o$37bo7bo3$36b3o5b3o$36b2o7b2o$35bo3bo3bo3bo$36bo3bobo3bo$40bobo$38bo5bo2$38b3ob3o$38b2obob 2o$36bobo5bobo$35bob2o5b2obo$35bo11bo$34bo2b2o5b2o2bo$35b2o9b2o$34bob 2o7b2obo$36b2o7b2o$33bo15bo$33b2o3bo5bo3b2o$33b3o2bo5bo2b3o$34bo13bo$36b2ob2ob2ob2o$37bob2ob2obo$36b2ob2ob2ob2o$37bo7bo$37bobobobobo$37bo7b
o2$35bo4bobo4bo$35bo3bo3bo3bo$34b2obo7bob2o$35bob2o5b2obo$33bob3o7b3ob o$32bo17bo$39bo3bo$38bobobobo$34b3o3bobo3b3o$34b4obo3bob4o$36b2o7b2o$
34bob2o7b2obo$33b2ob2o3bo3b2ob2o$32b2o2b2o2bobo2b2o2b2o$35b3obo3bob3o$
32b5o2bo3bo2b5o$31bo7b2ob2o7bo$31bo3b2o3bobo3b2o3bo$31bobo2bo3bobo3bo 2bobo$38b3ob3o$34b3ob3ob3ob3o$40b3o$40b3o2$38bo5bo$38bobobobo51$21b3o$20bo2bo$23bo$23bo$20bobo!

Code: Select all

x = 946, y = 2017, rule = B3/S23
2bo$obo$b2o1137$928bo7bo$927bobo5bobo$736b3o187b2ob2o3b2ob2o$738bo188b
obo5bobo$737bo187bob2o3bo3b2obo$925b7ob7o$929b7o$928bob2ob2obo$925b2ob o7bob2o$924b3ob2o5b2ob3o$923bo17bo$926bob2o5b2obo2$930bo3bo$925bob3o5b
3obo$926bob3o3b3obo$930bo3bo$929b2o3b2o$928b2o5b2o$927b3o5b3o$924b4o9b
4o$923bo17bo$922b2o3b2o7b2o3b2o$923bobobobo5bobobobo$923b3o2b3o3b3o2b
3o$928bo7bo$923bo17bo2$923bobobo9bobobo$925b3o9b3o$922bob3o2bo5bo2b3ob o$923b2ob3o7b3ob2o$927b2o7b2o$927bob2o3b2obo$927bo3bobo3bo$919b3o5bo3b
obo3bo5b3o$919bob2o6bo5bo6b2obo$919bo2bo3b2ob2o3b2ob2o3bo2bo$922bo2b2o 3bo3bo3b2o2bo$926bo2bo5bo2bo$921bobobobo9bobobobo$919b2obo19bob2o$925b o13bo$922b2o17b2o2$921bo21bo$920b2o21b2o$919b2o23b2o2$919b2o23b2o$920b o23bo$921bo4bobo7bobo4bo$920b3o4bob2o3b2obo4b3o$920b3o2bobob2o3b2obobo
2b3o$925bo2b2o5b2o2bo$924b4o9b4o2$922b2o17b2o$922b2o2b2o9b2o2b2o$923bo 2bobo7bobo2bo$920bo2bobo2bo3bo3bo2bobo2bo$920bo4bo3bob3obo3bo4bo$921bo
bobo4bobobo4bobobo$923bobo4bo3bo4bobo$921b4o2bobo5bobo2b4o$921b3ob2ob 2ob3ob2ob2ob3o$930b5o$927bobo5bobo$927bob2o3b2obo$932bo$932bo$926b2o9b 2o$926b2obo5bob2o$926bob2obobob2obo$928b2obobob2o$925bobobobobobobobo$
925b2o2bo5bo2b2o$926bob2o5b2obo$928b2o5b2o$927bo9bo$927b3o5b3o4$928bo 7bo$927b2obo3bob2o$927bo2bo3bo2bo$927b3o5b3o$929b3ob3o$930b2ob2o$931bo bo$930b2ob2o$928b2o2bo2b2o$932bo$927b2o7b2o$926b3obo3bob3o$925bo2bo7bo 2bo$926bo11bo$927bo9bo$924b2ob2o7b2ob2o$927bo9bo$923bo3b2o7b2o3bo$924b 6o5b6o$928bo7bo$927b2obo3bob2o$928bob2ob2obo$927bo9bo$928bobo3bobo$926bobobo3bobobo$928bob5obo$927b2ob2ob2ob2o$927b4o3b4o$926bo2bo5bo2bo$
925bo2bo7bo2bo$926bob2o5b2obo$924bob2o9b2obo$924b2o13b2o$924b2o13b2o$925b2o2b3ob3o2b2o$925b2o2b2o3b2o2b2o$928b2o5b2o$925bo2bo7bo2bo$925bo2b o7bo2bo$924b2obo9bob2o$924bo2bo3b3o3bo2bo$924bo2bo3b3o3bo2bo$927bo2bo 3bo2bo$923b2obo4b3o4bob2o$922b6o3bobo3b6o$922bo19bo$926bo2b3ob3o2bo$
926bo3bo3bo3bo$926bo11bo$931b3o$932bo$929b3ob3o$930b2ob2o23$881b3o5b3o
$881bo2bo3bo2bo$879b2o5bo5b2o$879b2o4b3o4b2o$886bo$883b2o3b2o$879bo3bo
5bo3bo$879bo2bo7bo2bo$879bobo9bobo$878bobo11bobo$879b2obo7bob2o$880bob 2o5b2obo$883bo5bo$881b3o5b3o$880b5o3b5o$879b3obo5bob3o$879b2o11b2o$880b2ob2o3b2ob2o$881b2o7b2o$879b3o9b3o$877b2ob2o9b2ob2o$878bo15bo$876b
ob2o2b2o5b2o2b2obo$875bo2bo3b2o5b2o3bo2bo$876b2o3bo2bo3bo2bo3b2o$876b 2obobo9bobob2o$881b2o7b2o$878bo15bo$877b2o2bo9bo2b2o$882bo7bo$877bo4b
2o5b2o4bo$878bo3b2o5b2o3bo$878bo2b2o7b2o2bo$882bob2ob2obo$874b2o8b2ob
2o8b2o$873b2obo4bo3bobo3bo4bob2o$873bo2bo6b3ob3o6bo2bo$872b4o2b3o2b2o 3b2o2b3o2b4o$873b2o3b3o11b3o3b2o$873b3o21b3o$877b4o11b4o$878bo2bo9bo2b o$877bobo13bobo$875bo21bo$875bo21bo$874bo23bo$875bo21bo$874bob2o17b2ob o$874bo2bo17bo2bo$874bo2bo17bo2bo$877bo4bo7bo4bo$877bo3b3o5b3o3bo$877b
o2bo2bo5bo2bo2bo$877bob2o11b2obo$874bo2bo2b2o9b2o2bo2bo$876b2o2b2obo5b ob2o2b2o$875b2o4b2o7b2o4b2o$877bo2b2o9b2o2bo$875bo21bo$877bo2bobo3bo3b obo2bo$875bo2bo2bo3bobo3bo2bo2bo$874bo2bo6bo3bo6bo2bo$874bob6o3bobo3b
6obo$879bo2bo3bo3bo2bo$878bo3b2o2bo2b2o3bo$875bo4bobo7bobo4bo$875bo7bo
5bo7bo$883bo5bo$885b3o$882bo3bo3bo$881bob3ob3obo$880b2obo5bob2o$879b6o
3b6o$879bo2bobo3bobo2bo$878b2o2b3o3b3o2b2o$881bo2bo3bo2bo$884bo3bo$879b2o3b2ob2o3b2o$878bo4bo5bo4bo$883bo5bo$882bo7bo$880bo11bo$880bobo7b
obo$883bo5bo$883bo5bo$882b2o5b2o$880bobo7bobo$881b4o3b4o$883bobobobo$883bobobobo$884bobobo$884bobobo$884bo3bo$884bo3bo$880b3o3bo3b3o$879bo 13bo$882b2o5b2o$878b3o11b3o$879b3o9b3o$879bo2bo7bo2bo$878bo4bo5bo4bo$878bo3bo7bo3bo$877b2obo2bo5bo2bob2o$878bobob3o3b3obobo$879bo2bo2bobo2b
o2bo$880bo3b2ob2o3bo$880bob2o5b2obo$883b2obob2o$884bobobo$881b3o5b3o$
881b2o7b2o2$880bo11bo$879bobo9bobo$879bob2o7b2obo$879bo3bo5bo3bo$880bo 3bo3bo3bo$880bo2bo5bo2bo$881b2o7b2o2$878bobo11bobo$878bo2bo9bo2bo$881b
o9bo$885b3o$877bob2o4b3o4b2obo$877bobo3bo2bo2bo3bobo$879bo13bo$876b2o 4bo2bobo2bo4b2o$875bo5b5ob5o5bo$878bo3bo2bobo2bo3bo$875b2ob2o4b2ob2o4b
2ob2o$878b2o2bobo3bobo2b2o$879b6o3b6o$880b3o7b3o$885b3o$885bobo$885bob
o288$735b3o5b3o$734bo3bo3bo3bo$734b2o3bobo3b2o$734bob2o2bo2b2obo$738b 5o$733b2o5bo5b2o$734b2o9b2o$733b2ob2o5b2ob2o$734bo11bo$731b2obob2o5b2o
bob2o$735bo9bo2$736b2o5b2o$735b3o5b3o$734b4o5b4o$734bo11bo$735bo2b2ob
2o2bo$735b3o5b3o$736b2o5b2o$732b2ob2o7b2ob2o$731bo3b2o7b2o3bo$730bo5bo 7bo5bo$730b2obo2b2o5b2o2bob2o$730b2obo3bo5bo3bob2o$733bob3o5b3obo$732b ob2o9b2obo2$732b2o13b2o$731b6o7b6o$732bob3o7b3obo$731b2o3bo7bo3b2o2$
736b3o3b3o$734b3obo3bob3o$728b2o4bo4bobo4bo4b2o$726b2ob2o5b3o3b3o5b2ob 2o$726b2o5bo13bo5b2o$727bob5o4bo3bo4b5obo$729b2o2bo4bo3bo4bo2b2o$730b 2ob3o9b3ob2o$728bo5b2o9b2o5bo$733bo13bo$728bo2bo17bo2bo$729bobo17bobo$
729bo21bo$728b3o19b3o$727bo2bo19bo2bo$727bobo21bobo$729bo21bo$727bobo 21bobo$727bobo6bo7bo6bobo$728b2o5b3o5b3o5b2o$729bo4b2obo5bob2o4bo$729b o6b3o3b3o6bo$729bo3bo3bo5bo3bo3bo$731bo3b3o5b3o3bo$730bo19bo$730bo4bo 9bo4bo$730bobob2o9b2obobo$737bo2bo2bo$729b2o8b3o8b2o$729b2obo15bob2o$
728bobobo2b2o3bo3b2o2bobobo$729b2o2bobo9bobo2b2o$728b3o8bobo8b3o$729b 2o2bo3b2obob2o3bo2b2o$733bo3bo5bo3bo$736b3o3b3o$737b7o$738bo3bo$735bo
9bo$734b4o5b4o$733bo2b2o5b2o2bo$733b2o3bo3bo3b2o$733b3o9b3o$733bo2bobo 3bobo2bo$732b2o2b3o3b3o2b2o$733b2o2b2o3b2o2b2o$734bo11bo$735bo9bo$735b
2o7b2o$735b2o7b2o2$736bo7bo$735bobo5bobo$734bo11bo$734bobo7bobo$738b2o
b2o$738bo3bo2$737bo5bo$737bob3obo$740bo$735bo9bo$734bob2o5b2obo$733b2o 11b2o$733bo2bo7bo2bo$733bo3bo5bo3bo2$734b3o7b3o$732b2o2bo7bo2b2o$731bo
2bo11bo2bo$734bo11bo$732b2ob4o3b4ob2o$735b2ob2ob2ob2o2$735b2ob2ob2ob2o
$736bobobobobo$735b2o7b2o$737bo5bo3$734bo11bo$733b2obo7bob2o$737bo5bo$733b2ob2o5b2ob2o$735bo9bo$738bo3bo$734bo4bobo4bo$733bo3bobobobo3bo$
733bo3bo5bo3bo$733bo13bo$732b2o3bo5bo3b2o$731bobo3bo2bo2bo3bobo$731b2o
6b3o6b2o$738b2ob2o$731b3o2bobo3bobo2b3o$730bobo5b2ob2o5bobo$729b2o3b2o
3bobo3b2o3b2o$731bo2b3o2bobo2b3o2bo$733bobobo5bobobo$734bob2o5b2obo$
734bo11bo$739bobo$740bo$738bo3bo$738bo3bo22$781b3o5b3o$781bobo5bobo$781bobo5bobo$779bob2o3bo3b2obo$779b2o4bobo4b2o$783b2obob2o$782bo7bo$
782bobo3bobo$778b5o7b5o$777bo2bo11bo2bo$778bob3o7b3obo$780bob2o5b2obo$779b2obobo3bobob2o$779b3obo5bob3o2$783b2o3b2o$785bobo$782bo7bo$782b2o
5b2o$779b2o11b2o$777bob2o11b2obo$777b2o2b2o7b2o2b2o$777bo2bo2bo5bo2bo
2bo$778bo4bo5bo4bo$778bo2bo2bo3bo2bo2bo$775bo5bo9bo5bo$776bobo15bobo$780bo11bo$776bo3bobo7bobo3bo$776bo2bo3bo5bo3bo2bo$777b2o2b2o7b2o2b2o$781bo9bo2$781b5ob5o$774bo6b2ob2ob2ob2o6bo$773b3o7bo5bo7b3o$773bo2b2o5b o5bo5b2o2bo$775bo3b5o5b5o3bo$780bob2o5b2obo$774bo3bo15bo3bo$774bob2o2b o11bo2b2obo$774bob4o13b4obo$777bo17bo2$775bo21bo$774bobo19bobo$773bo
25bo$773bo3bo17bo3bo$778bo15bo$773b2o23b2o$775bo3bo2bo7bo2bo3bo$775bo 3bobobo5bobobo3bo$775bo5bob2o3b2obo5bo$775bo3b2obo7bob2o3bo$779b2o11b
2o$777bo17bo$776bo19bo$776bo4bo9bo4bo$775b2o3b2o9b2o3b2o$775b2o3bobo7b obo3b2o$775b2o3b2o3b3o3b2o3b2o$775b3o2b3obo3bob3o2b3o$779bob2obo3bob2o
bo$775b2o3b2obo5bob2o3b2o$776bob2o3bobobobo3b2obo$784bobobo$781bo9bo$781b3o5b3o$783b2obob2o$783b7o$781b3o5b3o$780b2obobobobob2o$779bo3bo5bo
3bo$784b2ob2o$778bo2bobobobobobo2bo$779b4o7b4o$782bo7bo$782bo7bo$779b
2obo2bobo2bob2o2$782b2o5b2o3$782bo7bo$782b3o3b3o$781bo2bo3bo2bo$782bo 7bo$781bo2bo3bo2bo$784b2ob2o$785bobo$783bobobobo$782bo3bo3bo$782bo7bo$
785bobo$780b2obo5bob2o$780b2o2bo3bo2b2o$780bo11bo$781bo9bo$779bobo9bob o$778b4o9b4o$778b2obobo5bobob2o$777bo2bo11bo2bo$782bobo3bobo$781b2obo
3bob2o$777bo2bo3b2ob2o3bo2bo$782bo2bobo2bo$779bo2bob2ob2obo2bo$780bobo
bobobobobo$781b2o2bobo2b2o$782bobo3bobo$783b2o3b2o$780b2o9b2o$780b3o7b 3o$780bobo7bobo$778b2o2bo7bo2b2o$778b2o13b2o$784bo3bo$779bo4bo3bo4bo$779b2o3bo3bo3b2o$780bo2bo5bo2bo$780b3o7b3o$779bobo9bobo$779b2o11b2o$
779bobo4bo4bobo$779b2o4b3o4b2o$779b2o3bo3bo3b2o$778b3o4b3o4b3o$776b2o
17b2o$775bo5b2o2bobo2b2o5bo2$775bo2bob3ob2ob2ob3obo2bo$781b3o5b3o$783b
3ob3o$778bo4b2obob2o4bo$784bo3bo2$784b2ob2o! Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) : 965808 is period 336 (max = 207085118608). Sokwe Moderator Posts: 1480 Joined: July 9th, 2009, 2:44 pm ### Re: Spaceship Discussion Thread I double-checked that no width-19 odd symmetric 2c/7 ships exist. Here are the partial results: 2c7-w10-u.rle (194.08 KiB) Downloaded 294 times I also ran the width-20 even symmetric 2c/7 search which only found the weekender. This means that there are probably no other ships at this width, but I'm not convinced that the search is complete. -Matthias Merzenich Gamedziner Posts: 796 Joined: May 30th, 2016, 8:47 pm Location: Milky Way Galaxy: Planet Earth ### Re: Spaceship Discussion Thread AbhpzTa wrote: Code: Select all x = 946, y = 2017, rule = B3/S23 2bo$obo$b2o1137$928bo7bo$927bobo5bobo$736b3o187b2ob2o3b2ob2o$738bo188b obo5bobo$737bo187bob2o3bo3b2obo$925b7ob7o$929b7o$928bob2ob2obo$925b2ob
o7bob2o$924b3ob2o5b2ob3o$923bo17bo$926bob2o5b2obo2$930bo3bo$925bob3o5b 3obo$926bob3o3b3obo$930bo3bo$929b2o3b2o$928b2o5b2o$927b3o5b3o$924b4o9b 4o$923bo17bo$922b2o3b2o7b2o3b2o$923bobobobo5bobobobo$923b3o2b3o3b3o2b 3o$928bo7bo$923bo17bo2$923bobobo9bobobo$925b3o9b3o$922bob3o2bo5bo2b3ob
o$923b2ob3o7b3ob2o$927b2o7b2o$927bob2o3b2obo$927bo3bobo3bo$919b3o5bo3b obo3bo5b3o$919bob2o6bo5bo6b2obo$919bo2bo3b2ob2o3b2ob2o3bo2bo$922bo2b2o
3bo3bo3b2o2bo$926bo2bo5bo2bo$921bobobobo9bobobobo$919b2obo19bob2o$925b
o13bo$922b2o17b2o2$921bo21bo$920b2o21b2o$919b2o23b2o2$919b2o23b2o$920b
o23bo$921bo4bobo7bobo4bo$920b3o4bob2o3b2obo4b3o$920b3o2bobob2o3b2obobo 2b3o$925bo2b2o5b2o2bo$924b4o9b4o2$922b2o17b2o$922b2o2b2o9b2o2b2o$923bo
2bobo7bobo2bo$920bo2bobo2bo3bo3bo2bobo2bo$920bo4bo3bob3obo3bo4bo$921bo bobo4bobobo4bobobo$923bobo4bo3bo4bobo$921b4o2bobo5bobo2b4o$921b3ob2ob
2ob3ob2ob2ob3o$930b5o$927bobo5bobo$927bob2o3b2obo$932bo$932bo$926b2o9b
2o$926b2obo5bob2o$926bob2obobob2obo$928b2obobob2o$925bobobobobobobobo$925b2o2bo5bo2b2o$926bob2o5b2obo$928b2o5b2o$927bo9bo$927b3o5b3o4$928bo
7bo$927b2obo3bob2o$927bo2bo3bo2bo$927b3o5b3o$929b3ob3o$930b2ob2o$931bo
bo$930b2ob2o$928b2o2bo2b2o$932bo$927b2o7b2o$926b3obo3bob3o$925bo2bo7bo
2bo$926bo11bo$927bo9bo$924b2ob2o7b2ob2o$927bo9bo$923bo3b2o7b2o3bo$924b
6o5b6o$928bo7bo$927b2obo3bob2o$928bob2ob2obo$927bo9bo$928bobo3bobo$
926bobobo3bobobo$928bob5obo$927b2ob2ob2ob2o$927b4o3b4o$926bo2bo5bo2bo$925bo2bo7bo2bo$926bob2o5b2obo$924bob2o9b2obo$924b2o13b2o$924b2o13b2o$
925b2o2b3ob3o2b2o$925b2o2b2o3b2o2b2o$928b2o5b2o$925bo2bo7bo2bo$925bo2b
o7bo2bo$924b2obo9bob2o$924bo2bo3b3o3bo2bo$924bo2bo3b3o3bo2bo$927bo2bo
3bo2bo$923b2obo4b3o4bob2o$922b6o3bobo3b6o$922bo19bo$926bo2b3ob3o2bo$926bo3bo3bo3bo$926bo11bo$931b3o$932bo$929b3ob3o$930b2ob2o23$881b3o5b3o$881bo2bo3bo2bo$879b2o5bo5b2o$879b2o4b3o4b2o$886bo$883b2o3b2o$879bo3bo 5bo3bo$879bo2bo7bo2bo$879bobo9bobo$878bobo11bobo$879b2obo7bob2o$880bob
2o5b2obo$883bo5bo$881b3o5b3o$880b5o3b5o$879b3obo5bob3o$879b2o11b2o$
880b2ob2o3b2ob2o$881b2o7b2o$879b3o9b3o$877b2ob2o9b2ob2o$878bo15bo$876b ob2o2b2o5b2o2b2obo$875bo2bo3b2o5b2o3bo2bo$876b2o3bo2bo3bo2bo3b2o$876b
2obobo9bobob2o$881b2o7b2o$878bo15bo$877b2o2bo9bo2b2o$882bo7bo$877bo4b 2o5b2o4bo$878bo3b2o5b2o3bo$878bo2b2o7b2o2bo$882bob2ob2obo$874b2o8b2ob 2o8b2o$873b2obo4bo3bobo3bo4bob2o$873bo2bo6b3ob3o6bo2bo$872b4o2b3o2b2o
3b2o2b3o2b4o$873b2o3b3o11b3o3b2o$873b3o21b3o$877b4o11b4o$878bo2bo9bo2b
o$877bobo13bobo$875bo21bo$875bo21bo$874bo23bo$875bo21bo$874bob2o17b2ob
o$874bo2bo17bo2bo$874bo2bo17bo2bo$877bo4bo7bo4bo$877bo3b3o5b3o3bo$877b o2bo2bo5bo2bo2bo$877bob2o11b2obo$874bo2bo2b2o9b2o2bo2bo$876b2o2b2obo5b
ob2o2b2o$875b2o4b2o7b2o4b2o$877bo2b2o9b2o2bo$875bo21bo$877bo2bobo3bo3b
obo2bo$875bo2bo2bo3bobo3bo2bo2bo$874bo2bo6bo3bo6bo2bo$874bob6o3bobo3b 6obo$879bo2bo3bo3bo2bo$878bo3b2o2bo2b2o3bo$875bo4bobo7bobo4bo$875bo7bo 5bo7bo$883bo5bo$885b3o$882bo3bo3bo$881bob3ob3obo$880b2obo5bob2o$879b6o 3b6o$879bo2bobo3bobo2bo$878b2o2b3o3b3o2b2o$881bo2bo3bo2bo$884bo3bo$
879b2o3b2ob2o3b2o$878bo4bo5bo4bo$883bo5bo$882bo7bo$880bo11bo$880bobo7b obo$883bo5bo$883bo5bo$882b2o5b2o$880bobo7bobo$881b4o3b4o$883bobobobo$
883bobobobo$884bobobo$884bobobo$884bo3bo$884bo3bo$880b3o3bo3b3o$879bo
13bo$882b2o5b2o$878b3o11b3o$879b3o9b3o$879bo2bo7bo2bo$878bo4bo5bo4bo$
878bo3bo7bo3bo$877b2obo2bo5bo2bob2o$878bobob3o3b3obobo$879bo2bo2bobo2b o2bo$880bo3b2ob2o3bo$880bob2o5b2obo$883b2obob2o$884bobobo$881b3o5b3o$881b2o7b2o2$880bo11bo$879bobo9bobo$879bob2o7b2obo$879bo3bo5bo3bo$880bo
3bo3bo3bo$880bo2bo5bo2bo$881b2o7b2o2$878bobo11bobo$878bo2bo9bo2bo$881b o9bo$885b3o$877bob2o4b3o4b2obo$877bobo3bo2bo2bo3bobo$879bo13bo$876b2o
4bo2bobo2bo4b2o$875bo5b5ob5o5bo$878bo3bo2bobo2bo3bo$875b2ob2o4b2ob2o4b 2ob2o$878b2o2bobo3bobo2b2o$879b6o3b6o$880b3o7b3o$885b3o$885bobo$885bob o288$735b3o5b3o$734bo3bo3bo3bo$734b2o3bobo3b2o$734bob2o2bo2b2obo$738b
5o$733b2o5bo5b2o$734b2o9b2o$733b2ob2o5b2ob2o$734bo11bo$731b2obob2o5b2o bob2o$735bo9bo2$736b2o5b2o$735b3o5b3o$734b4o5b4o$734bo11bo$735bo2b2ob 2o2bo$735b3o5b3o$736b2o5b2o$732b2ob2o7b2ob2o$731bo3b2o7b2o3bo$730bo5bo
7bo5bo$730b2obo2b2o5b2o2bob2o$730b2obo3bo5bo3bob2o$733bob3o5b3obo$732b
ob2o9b2obo2$732b2o13b2o$731b6o7b6o$732bob3o7b3obo$731b2o3bo7bo3b2o2$736b3o3b3o$734b3obo3bob3o$728b2o4bo4bobo4bo4b2o$726b2ob2o5b3o3b3o5b2ob
2o$726b2o5bo13bo5b2o$727bob5o4bo3bo4b5obo$729b2o2bo4bo3bo4bo2b2o$730b
2ob3o9b3ob2o$728bo5b2o9b2o5bo$733bo13bo$728bo2bo17bo2bo$729bobo17bobo$729bo21bo$728b3o19b3o$727bo2bo19bo2bo$727bobo21bobo$729bo21bo$727bobo
21bobo$727bobo6bo7bo6bobo$728b2o5b3o5b3o5b2o$729bo4b2obo5bob2o4bo$729b
o6b3o3b3o6bo$729bo3bo3bo5bo3bo3bo$731bo3b3o5b3o3bo$730bo19bo$730bo4bo
9bo4bo$730bobob2o9b2obobo$737bo2bo2bo$729b2o8b3o8b2o$729b2obo15bob2o$728bobobo2b2o3bo3b2o2bobobo$729b2o2bobo9bobo2b2o$728b3o8bobo8b3o$729b
2o2bo3b2obob2o3bo2b2o$733bo3bo5bo3bo$736b3o3b3o$737b7o$738bo3bo$735bo 9bo$734b4o5b4o$733bo2b2o5b2o2bo$733b2o3bo3bo3b2o$733b3o9b3o$733bo2bobo
3bobo2bo$732b2o2b3o3b3o2b2o$733b2o2b2o3b2o2b2o$734bo11bo$735bo9bo$735b 2o7b2o$735b2o7b2o2$736bo7bo$735bobo5bobo$734bo11bo$734bobo7bobo$738b2o b2o$738bo3bo2$737bo5bo$737bob3obo$740bo$735bo9bo$734bob2o5b2obo$733b2o
11b2o$733bo2bo7bo2bo$733bo3bo5bo3bo2$734b3o7b3o$732b2o2bo7bo2b2o$731bo 2bo11bo2bo$734bo11bo$732b2ob4o3b4ob2o$735b2ob2ob2ob2o2$735b2ob2ob2ob2o$736bobobobobo$735b2o7b2o$737bo5bo3$734bo11bo$733b2obo7bob2o$737bo5bo$
733b2ob2o5b2ob2o$735bo9bo$738bo3bo$734bo4bobo4bo$733bo3bobobobo3bo$733bo3bo5bo3bo$733bo13bo$732b2o3bo5bo3b2o$731bobo3bo2bo2bo3bobo$731b2o 6b3o6b2o$738b2ob2o$731b3o2bobo3bobo2b3o$730bobo5b2ob2o5bobo$729b2o3b2o 3bobo3b2o3b2o$731bo2b3o2bobo2b3o2bo$733bobobo5bobobo$734bob2o5b2obo$734bo11bo$739bobo$740bo$738bo3bo$738bo3bo22$781b3o5b3o$781bobo5bobo$
781bobo5bobo$779bob2o3bo3b2obo$779b2o4bobo4b2o$783b2obob2o$782bo7bo$782bobo3bobo$778b5o7b5o$777bo2bo11bo2bo$778bob3o7b3obo$780bob2o5b2obo$
779b2obobo3bobob2o$779b3obo5bob3o2$783b2o3b2o$785bobo$782bo7bo$782b2o 5b2o$779b2o11b2o$777bob2o11b2obo$777b2o2b2o7b2o2b2o$777bo2bo2bo5bo2bo 2bo$778bo4bo5bo4bo$778bo2bo2bo3bo2bo2bo$775bo5bo9bo5bo$776bobo15bobo$
780bo11bo$776bo3bobo7bobo3bo$776bo2bo3bo5bo3bo2bo$777b2o2b2o7b2o2b2o$
781bo9bo2$781b5ob5o$774bo6b2ob2ob2ob2o6bo$773b3o7bo5bo7b3o$773bo2b2o5b
o5bo5b2o2bo$775bo3b5o5b5o3bo$780bob2o5b2obo$774bo3bo15bo3bo$774bob2o2b
o11bo2b2obo$774bob4o13b4obo$777bo17bo2$775bo21bo$774bobo19bobo$773bo 25bo$773bo3bo17bo3bo$778bo15bo$773b2o23b2o$775bo3bo2bo7bo2bo3bo$775bo
3bobobo5bobobo3bo$775bo5bob2o3b2obo5bo$775bo3b2obo7bob2o3bo$779b2o11b 2o$777bo17bo$776bo19bo$776bo4bo9bo4bo$775b2o3b2o9b2o3b2o$775b2o3bobo7b
obo3b2o$775b2o3b2o3b3o3b2o3b2o$775b3o2b3obo3bob3o2b3o$779bob2obo3bob2o bo$775b2o3b2obo5bob2o3b2o$776bob2o3bobobobo3b2obo$784bobobo$781bo9bo$
781b3o5b3o$783b2obob2o$783b7o$781b3o5b3o$780b2obobobobob2o$779bo3bo5bo 3bo$784b2ob2o$778bo2bobobobobobo2bo$779b4o7b4o$782bo7bo$782bo7bo$779b 2obo2bobo2bob2o2$782b2o5b2o3$782bo7bo$782b3o3b3o$781bo2bo3bo2bo$782bo
7bo$781bo2bo3bo2bo$784b2ob2o$785bobo$783bobobobo$782bo3bo3bo$782bo7bo$785bobo$780b2obo5bob2o$780b2o2bo3bo2b2o$780bo11bo$781bo9bo$779bobo9bob
o$778b4o9b4o$778b2obobo5bobob2o$777bo2bo11bo2bo$782bobo3bobo$781b2obo 3bob2o$777bo2bo3b2ob2o3bo2bo$782bo2bobo2bo$779bo2bob2ob2obo2bo$780bobo bobobobobo$781b2o2bobo2b2o$782bobo3bobo$783b2o3b2o$780b2o9b2o$780b3o7b
3o$780bobo7bobo$778b2o2bo7bo2b2o$778b2o13b2o$784bo3bo$779bo4bo3bo4bo$
779b2o3bo3bo3b2o$780bo2bo5bo2bo$780b3o7b3o$779bobo9bobo$779b2o11b2o$779bobo4bo4bobo$779b2o4b3o4b2o$779b2o3bo3bo3b2o$778b3o4b3o4b3o$776b2o 17b2o$775bo5b2o2bobo2b2o5bo2$775bo2bob3ob2ob2ob3obo2bo$781b3o5b3o$783b 3ob3o$778bo4b2obob2o4bo$784bo3bo2$784b2ob2o!
Wow! The bottom 3c/7 survives a quite a few different glider collisions unharmed!

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! A for awesome Posts: 1901 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: Spaceship Discussion Thread A new 70-cell (1,1)c/4: Code: Select all x = 12, y = 30, rule = B3/S23 8b2o$10bo$8b3o$9b2o$10b2o$8bobo2$2bo2b3o$bo5b2o$2b2obo2bobo$6bo$9b2o$
6b3o$7bobo$9bo$5b2o2bo$3b3ob2o$2b3o$5b2o$5b2o2$2bob2o$6b2o$4bo3bo$3bo 3b2o$6bo$2o3bo$2o3bo$3bob2o$4b2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

HartmutHolzwart
Posts: 422
Joined: June 27th, 2009, 10:58 am
Location: Germany

Sokwe wrote:I double-checked that no width-19 odd symmetric 2c/7 ships exist. Here are the partial results:
2c7-w10-u.rle
I also ran the width-20 even symmetric 2c/7 search which only found the weekender. This means that there are probably no other ships at this width, but I'm not convinced that the search is complete.
Is there some overlap in tehe different partials? It seems very hard to see this manually given the 7 different generations. I was able to spot something in your c/7 partials, but this time not.

It would be good to have some sort of script that recognizes if two partials partially contain equal parts (I hope it is clear what I mean).

Second question: Could we have something similar for back parts? So we might be able to easier find suitable targets for connection searches.

Hartmut

AbhpzTa
Posts: 475
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

I've just found a 3c/7 puffer, but CATASTROPHICALLY it was lost by Golly's crash.
OOOOOOOOOOOMMMMMMMMMMMMMMMMMGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

AbhpzTa wrote:I've just found a 3c/7 puffer, but CATASTROPHICALLY it was lost by Golly's crash.
OOOOOOOOOOOMMMMMMMMMMMMMMMMMGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG

Code: Select all

/¯¯¯¯¯¯¯¯¯\
|   RIP   |
| AbhpzTa |
|XXXX-2017|
|         |
¯¯¯¯¯¯¯¯¯¯¯
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

gmc_nxtman
Posts: 1147
Joined: May 26th, 2015, 7:20 pm

AbhpzTa wrote:I've just found a 3c/7 puffer, but CATASTROPHICALLY it was lost by Golly's crash.
OOOOOOOOOOOMMMMMMMMMMMMMMMMMGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG
Can you try to replicate the search or method used to find it?

A for awesome
Posts: 1901
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

A somewhat edge-spark-y 62-cell c/4 diagonal:

Code: Select all

x = 11, y = 30, rule = B3/S23
6bo$6bo$6b2o$4bo4bo$4bo5bo$b3o4b3o$3bo$3b2o$4b2o$4bo$2bob2o$5bo$o3bo$o 5bo$b5o$3b2o2bobo$8b2o$b3o4bo2$4bo$o2b2o2$o2bo$3b2o2$4bobo$7b2o$5bo4bo
$6bo3bo$7bob2o!
EDIT: I would be surprised if this 74-cell 2c/8 wasn't known, but here it is:

Code: Select all

x = 15, y = 21, rule = B3/S23
4bobo3bo$3bo2bo2bobo$6bo2bobo$3bobo2b2o$4bo4b2o2$6b3o$5bo3bo$2o3bo3bo 3b2o2$bo3b2ob2o3bo$b2obobobobob2o$4bobobobo$2bobobobobobo$5bo3bo$3b2o 5b2o$5bo3bo$5bo3bo$4bo5bo$4b7o$5bobobo!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

Sokwe
Moderator
Posts: 1480
Joined: July 9th, 2009, 2:44 pm

A for awesome wrote:I would be surprised if this 74-cell 2c/8 wasn't known
It was found several years ago by Josh Ball.
A for awesome wrote:A new 70-cell (1,1)c/4
A somewhat edge-spark-y 62-cell c/4 diagonal
Nice! I presume you're checking these against Nicolay's collection.
AbhpzTa wrote:I've just found a 3c/7 puffer, but CATASTROPHICALLY it was lost by Golly's crash.
Ouch.
-Matthias Merzenich

AbhpzTa
Posts: 475
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

gmc_nxtman wrote:Can you try to replicate the search or method used to find it?
No, but here's a p48664 3c/7 puffer:

Code: Select all

x = 1289, y = 2380, rule = B3/S23
503bo7bo$502b3o5b3o$502bobo5bobo$500bobo4bo4bobo$500b2o4bobo4b2o$505bo bobo$504b2o3b2o$503b3o3b3o$499b2o2bo7bo2b2o$499b2obo9bob2o$499bo15bo$501bob2o5b2obo$500b2ob2o5b2ob2o$505bo3bo$501bo11bo$500bo4bo3bo4bo$504b
2o3b2o$504b2o3b2o$500bo3bo5bo3bo$500bo3bo5bo3bo$499b2o13b2o$498b2o2bo 9bo2b2o$501b3o7b3o$499b2o2b2o5b2o2b2o$496bo2b2obo2bo3bo2bob2o2bo$496bo 4b2obo5bob2o4bo$497b3o2bo9bo2b3o$498b2ob3o7b3ob2o$498b2o2b2o7b2o2b2o$498b2o15b2o$498b2o2b3o5b3o2b2o$502bo9bo$498b2o15b2o$502bo2bo3bo2bo$
502b2ob2ob2ob2o$494b3o7bo5bo7b3o$494bo2bo6bo5bo6bo2bo$497b2ob2ob2obobo b2ob2ob2o$493bo2bob2obo2bobobobo2bob2obo2bo$499bobo11bobo$494bobobo17b
obobo$495bo2b4o11b4o2bo2$499bo15bo$497bo19bo$495b2o21b2o$495b2o21b2o$
495b3o19b3o$495bob2o17b2obo$494b2o2b2o15b2o2b2o$497b3o15b3o$497b3o2b3o
5b3o2b3o$497b3o2bobo5bobo2b3o$497b2ob2o2bo5bo2b2ob2o$497b2obo13bob2o$
498bo4bo7bo4bo$498bo17bo$496bo21bo$496bo4b3o7b3o4bo$497bo3bo11bo3bo$497bo4bo4bo4bo4bo$497b3o2bo3b3o3bo2b3o$495bo6bo2b2ob2o2bo6bo10b3o5b3o$
496b3ob3o3b3o3b3ob3o11bobo5bobo$503b2ob3ob2o18bobo5bobo$500bo2b2o5b2o
2bo13bob2o3bo3b2obo$502b2o7b2o15b2o4bobo4b2o$503b2o5b2o20b2obob2o$505b obobo21bo7bo$506b3o22bobo3bobo$503b2o5b2o15b5o7b5o$501b2ob7ob2o12bo2bo
11bo2bo$500bo5bobo5bo12bob3o7b3obo$500bo4bo3bo4bo14bob2o5b2obo$506bobo 19b2obobo3bobob2o$499b5ob2ob2ob5o12b3obo5bob3o$503bob2ob2obo$501bo2b2o
3b2o2bo18b2o3b2o$500bo3b3ob3o3bo19bobo$500bo3bo5bo3bo16bo7bo$503b2o5b 2o19b2o5b2o$528b2o11b2o$526bob2o11b2obo$502bo9bo13b2o2b2o7b2o2b2o$503b 2o5b2o14bo2bo2bo5bo2bo2bo$504b2o3b2o16bo4bo5bo4bo$502b3o5b3o14bo2bo2bo 3bo2bo2bo$505bo3bo14bo5bo9bo5bo$502bo2bo3bo2bo12bobo15bobo$506bobo20bo
11bo$504bobobobo14bo3bobo7bobo3bo$504b2obob2o14bo2bo3bo5bo3bo2bo$504b 2o3b2o15b2o2b2o7b2o2b2o$504b2o3b2o19bo9bo$502bobobobobobo$501b2o9b2o
16b5ob5o$501bo2bo5bo2bo9bo6b2ob2ob2ob2o6bo$499bobo11bobo6b3o7bo5bo7b3o
$499bo3bo7bo3bo6bo2b2o5bo5bo5b2o2bo$502bo9bo11bo3b5o5b5o3bo$499b2ob2o 7b2ob2o13bob2o5b2obo$499b2o2b2o5b2o2b2o7bo3bo15bo3bo$499bo3b2o5b2o3bo 7bob2o2bo11bo2b2obo$498b2o5bo3bo5b2o6bob4o13b4obo$498b2obobobo3bobobob 2o9bo17bo$500b2obo2bobo2bob2o$500b2obob2ob2obob2o9bo21bo$502b2o3bo3b2o
10bobo19bobo$503bobo3bobo10bo25bo$505bo3bo12bo3bo17bo3bo$502bobo5bobo 14bo15bo$502bobo5bobo9b2o23b2o$502bo9bo11bo3bo2bo7bo2bo3bo$501bo11bo
10bo3bobobo5bobobo3bo$500bob2o7b2obo9bo5bob2o3b2obo5bo$499b2ob2o7b2ob
2o8bo3b2obo7bob2o3bo$500bob3o5b3obo13b2o11b2o$500b2o2b2o3b2o2b2o11bo
17bo$501bob2o5b2obo11bo19bo$502b2o7b2o12bo4bo9bo4bo$502bo9bo11b2o3b2o 9b2o3b2o$500bo13bo9b2o3bobo7bobo3b2o$500b3o9b3o9b2o3b2o3b3o3b2o3b2o$
507bo16b3o2b3obo3bob3o2b3o$501bo4bobo4bo14bob2obo3bob2obo$500b2o3bo3bo
3b2o9b2o3b2obo5bob2o3b2o$500bo5b3o5bo10bob2o3bobobobo3b2obo$497b2o8bo
8b2o15bobobo$497bo4b2o2bobo2b2o4bo12bo9bo$497b2o3bo3bobo3bo3b2o12b3o5b
3o$496b5ob2o7b2ob5o13b2obob2o$505b2ob2o22b7o$498bo4bo7bo4bo13b3o5b3o$
499bo5bo3bo5bo13b2obobobobob2o$500bo4b5o4bo13bo3bo5bo3bo$502bo3bobo3bo
20b2ob2o$505b2ob2o17bo2bobobobobobo2bo$528b4o7b4o$531bo7bo$531bo7bo$528b2obo2bobo2bob2o2$531b2o5b2o3$531bo7bo$531b3o3b3o$530bo2bo3bo2bo$
531bo7bo$530bo2bo3bo2bo$533b2ob2o$534bobo$532bobobobo$531bo3bo3bo$531b
o7bo$534bobo$529b2obo5bob2o$529b2o2bo3bo2b2o$529bo11bo$530bo9bo$528bob
o9bobo$527b4o9b4o$527b2obobo5bobob2o$526bo2bo11bo2bo$531bobo3bobo$530b 2obo3bob2o$526bo2bo3b2ob2o3bo2bo$531bo2bobo2bo$528bo2bob2ob2obo2bo$529bobobobobobobo$530b2o2bobo2b2o$531bobo3bobo$532b2o3b2o$529b2o9b2o$
529b3o7b3o$529bobo7bobo$527b2o2bo7bo2b2o$527b2o13b2o$533bo3bo$528bo4bo 3bo4bo$528b2o3bo3bo3b2o$529bo2bo5bo2bo$529b3o7b3o$528bobo9bobo$528b2o
11b2o$528bobo4bo4bobo$528b2o4b3o4b2o$528b2o3bo3bo3b2o$527b3o4b3o4b3o$525b2o17b2o$524bo5b2o2bobo2b2o5bo2$524bo2bob3ob2ob2ob3obo2bo$530b3o5b
3o$532b3ob3o$527bo4b2obob2o4bo$533bo3bo2$533b2ob2o93$540b3o5b3o$540bo
2bo3bo2bo$538b2o5bo5b2o$538b2o4b3o4b2o$545bo$542b2o3b2o$538bo3bo5bo3bo$538bo2bo7bo2bo$538bobo9bobo$537bobo11bobo$538b2obo7bob2o$539bob2o5b2o
bo$542bo5bo$540b3o5b3o$539b5o3b5o$538b3obo5bob3o$538b2o11b2o$539b2ob2o
3b2ob2o$540b2o7b2o$538b3o9b3o$536b2ob2o9b2ob2o266b3o5b3o$537bo15bo267b
o2bo3bo2bo$535bob2o2b2o5b2o2b2obo263b2o5bo5b2o$534bo2bo3b2o5b2o3bo2bo
262b2o4b3o4b2o$535b2o3bo2bo3bo2bo3b2o270bo$535b2obobo9bobob2o267b2o3b
2o$540b2o7b2o268bo3bo5bo3bo$537bo15bo265bo2bo7bo2bo$536b2o2bo9bo2b2o 264bobo9bobo$541bo7bo268bobo11bobo$536bo4b2o5b2o4bo264b2obo7bob2o$537b
o3b2o5b2o3bo266bob2o5b2obo$537bo2b2o7b2o2bo269bo5bo$541bob2ob2obo271b
3o5b3o$533b2o8b2ob2o8b2o262b5o3b5o$532b2obo4bo3bobo3bo4bob2o260b3obo5b
ob3o$532bo2bo6b3ob3o6bo2bo260b2o11b2o$531b4o2b3o2b2o3b2o2b3o2b4o260b2o
b2o3b2ob2o$532b2o3b3o11b3o3b2o262b2o7b2o$532b3o21b3o260b3o9b3o$536b4o 11b4o262b2ob2o9b2ob2o$537bo2bo9bo2bo264bo15bo$536bobo13bobo261bob2o2b 2o5b2o2b2obo$534bo21bo258bo2bo3b2o5b2o3bo2bo$534bo21bo259b2o3bo2bo3bo 2bo3b2o$533bo23bo258b2obobo9bobob2o$534bo21bo264b2o7b2o$533bob2o17b2ob
o260bo15bo$533bo2bo17bo2bo259b2o2bo9bo2b2o$533bo2bo17bo2bo264bo7bo$536bo4bo7bo4bo262bo4b2o5b2o4bo$536bo3b3o5b3o3bo263bo3b2o5b2o3bo$536bo 2bo2bo5bo2bo2bo263bo2b2o7b2o2bo$536bob2o11b2obo267bob2ob2obo$533bo2bo 2b2o9b2o2bo2bo256b2o8b2ob2o8b2o$535b2o2b2obo5bob2o2b2o257b2obo4bo3bobo
3bo4bob2o$534b2o4b2o7b2o4b2o256bo2bo6b3ob3o6bo2bo$536bo2b2o9b2o2bo257b
4o2b3o2b2o3b2o2b3o2b4o$534bo21bo256b2o3b3o11b3o3b2o$536bo2bobo3bo3bobo
2bo258b3o21b3o$534bo2bo2bo3bobo3bo2bo2bo260b4o11b4o$533bo2bo6bo3bo6bo
2bo260bo2bo9bo2bo$533bob6o3bobo3b6obo259bobo13bobo$538bo2bo3bo3bo2bo
262bo21bo$537bo3b2o2bo2b2o3bo261bo21bo$534bo4bobo7bobo4bo257bo23bo$534bo7bo5bo7bo258bo21bo$542bo5bo265bob2o17b2obo$544b3o267bo2bo17bo2bo$
541bo3bo3bo264bo2bo17bo2bo$540bob3ob3obo266bo4bo7bo4bo$539b2obo5bob2o
265bo3b3o5b3o3bo$538b6o3b6o264bo2bo2bo5bo2bo2bo$538bo2bobo3bobo2bo264b
ob2o11b2obo$537b2o2b3o3b3o2b2o260bo2bo2b2o9b2o2bo2bo$540bo2bo3bo2bo
265b2o2b2obo5bob2o2b2o$543bo3bo267b2o4b2o7b2o4b2o$538b2o3b2ob2o3b2o
264bo2b2o9b2o2bo$537bo4bo5bo4bo261bo21bo$542bo5bo268bo2bobo3bo3bobo2bo
$541bo7bo265bo2bo2bo3bobo3bo2bo2bo$539bo11bo262bo2bo6bo3bo6bo2bo$539bo bo7bobo262bob6o3bobo3b6obo$542bo5bo270bo2bo3bo3bo2bo$542bo5bo269bo3b2o 2bo2b2o3bo$541b2o5b2o265bo4bobo7bobo4bo$539bobo7bobo263bo7bo5bo7bo$
540b4o3b4o272bo5bo$542bobobobo276b3o$542bobobobo273bo3bo3bo$543bobobo 273bob3ob3obo$543bobobo272b2obo5bob2o$543bo3bo271b6o3b6o$543bo3bo271bo
2bobo3bobo2bo$539b3o3bo3b3o266b2o2b3o3b3o2b2o$538bo13bo268bo2bo3bo2bo$541b2o5b2o274bo3bo$537b3o11b3o265b2o3b2ob2o3b2o$538b3o9b3o265bo4bo5bo 4bo$538bo2bo7bo2bo270bo5bo$537bo4bo5bo4bo268bo7bo$537bo3bo7bo3bo266bo
11bo$536b2obo2bo5bo2bob2o265bobo7bobo$537bobob3o3b3obobo269bo5bo$538bo 2bo2bobo2bo2bo270bo5bo$539bo3b2ob2o3bo270b2o5b2o$539bob2o5b2obo268bobo 7bobo$542b2obob2o272b4o3b4o$543bobobo275bobobobo$540b3o5b3o272bobobobo
$540b2o7b2o273bobobo$824bobobo$539bo11bo272bo3bo$538bobo9bobo271bo3bo$538bob2o7b2obo267b3o3bo3b3o$538bo3bo5bo3bo266bo13bo$539bo3bo3bo3bo270b 2o5b2o$539bo2bo5bo2bo266b3o11b3o$540b2o7b2o268b3o9b3o$819bo2bo7bo2bo$537bobo11bobo264bo4bo5bo4bo$537bo2bo9bo2bo264bo3bo7bo3bo$540bo9bo266b 2obo2bo5bo2bob2o$544b3o271bobob3o3b3obobo$536bob2o4b3o4b2obo264bo2bo2b obo2bo2bo$536bobo3bo2bo2bo3bobo265bo3b2ob2o3bo$538bo13bo267bob2o5b2obo$535b2o4bo2bobo2bo4b2o267b2obob2o$534bo5b5ob5o5bo267bobobo$537bo3bo2bo
bo2bo3bo267b3o5b3o$534b2ob2o4b2ob2o4b2ob2o264b2o7b2o$537b2o2bobo3bobo
2b2o$538b6o3b6o267bo11bo$539b3o7b3o267bobo9bobo$544b3o272bob2o7b2obo$
544bobo272bo3bo5bo3bo$544bobo273bo3bo3bo3bo$820bo2bo5bo2bo$821b2o7b2o 2$818bobo11bobo$818bo2bo9bo2bo$821bo9bo$825b3o$817bob2o4b3o4b2obo$817b obo3bo2bo2bo3bobo$819bo13bo$816b2o4bo2bobo2bo4b2o$815bo5b5ob5o5bo$818b o3bo2bobo2bo3bo$812bo2b2ob2o4b2ob2o4b2ob2o$812b2o4b2o2bobo3bobo2b2o$
811bobo5b6o3b6o$820b3o7b3o$825b3o$825bobo$825bobo22$776bo7bo$774b2ob2o
3b2ob2o$774b2ob2o3b2ob2o$777b2o3b2o$773bo5b3o5bo$773bo13bo$774bo11bo$
775b2o7b2o$772bobobobo3bobobobo$772bobob2o5b2obobo$772bobo11bobo2$777b
o5bo$776b2o5b2o$774b2o9b2o$774bo3bo3bo3bo$776bo2bobo2bo$776bobo3bobo$
775bo9bo$773bo3bo5bo3bo$772b4o9b4o$770b2obo2bo7bo2bob2o$770b2o2b3o7b3o
2b2o$773bobo2bo3bo2bobo$771bob3o2bo3bo2b3obo$771bo4bo7bo4bo2$772bo15bo
$772b2obo9bob2o$771bo3b2o7b2o3bo2$771b2o4bo5bo4b2o2$774b2ob2o3b2ob2o$768bo5b2o3bobo3b2o5bo$767bob2o5bobo3bobo5b2obo$766b2o2bo3b2obo5bob2o3b o2b2o$768bob2ob6o3b6ob2obo$773bo2bobo3bobo2bo$770bobo2bo9bo2bobo$768b 3o3bo11bo3b3o$768b3obobo11bobob3o$769b3o17b3o2$770bo19bo$768b2o21b2o$
767bobo21bobo$767b3o21b3o2$767b2o23b2o$767b3o21b3o$770bo4b3o5b3o4bo$775bo2bo3bo2bo$768bobo4bo9bo4bobo$769bo7b2o3b2o7bo$772b5o7b5o$771b4o 11b4o$770b2o17b2o$772bob2o9b2obo$771bob2obo7bob2obo$773b5ob3ob5o$768b
3o2b2o2b2o3b2o2b2o2b3o$770bo2b2o2b2obob2o2b2o2bo$769bo3b2o2b3ob3o2b2o
3bo$769bo5bobob3obobo5bo$769bo3b5o5b5o3bo$770bo3b2o9b2o3bo$777bo2bo2bo
$777b2o3b2o$779bobo2$774b3o7b3o$773bo3b2o3b2o3bo$774bo11bo$774bo4bobo
4bo$773bobobo5bobobo$773bo3bo5bo3bo$773b2o3bo3bo3b2o$777bo5bo$775bo9bo$775b2o7b2o$776bo7bo3$775b3o5b3o$775b2o7b2o$774bo3bo3bo3bo$775bo3bobo 3bo$779bobo$777bo5bo2$777b3ob3o$777b2obob2o$775bobo5bobo$774bob2o5b2ob o$774bo11bo$773bo2b2o5b2o2bo$774b2o9b2o$773bob2o7b2obo$775b2o7b2o$772b o15bo$772b2o3bo5bo3b2o$772b3o2bo5bo2b3o$773bo13bo$775b2ob2ob2ob2o$776b
ob2ob2obo$775b2ob2ob2ob2o$776bo7bo$776bobobobobo$776bo7bo2$774bo4bobo 4bo$774bo3bo3bo3bo$773b2obo7bob2o$774bob2o5b2obo$772bob3o7b3obo$771bo
17bo$778bo3bo$777bobobobo$773b3o3bobo3b3o$773b4obo3bob4o$775b2o7b2o$
773bob2o7b2obo$772b2ob2o3bo3b2ob2o$771b2o2b2o2bobo2b2o2b2o$774b3obo3bo b3o$771b5o2bo3bo2b5o$770bo7b2ob2o7bo$770bo3b2o3bobo3b2o3bo$770bobo2bo 3bobo3bo2bobo$777b3ob3o$773b3ob3ob3ob3o$779b3o$779b3o2$777bo5bo$777bob obobo22$743b3o5b3o$742bo3bo3bo3bo$742b2o3bobo3b2o$742bob2o2bo2b2obo$
746b5o$741b2o5bo5b2o$742b2o9b2o$741b2ob2o5b2ob2o$742bo11bo$739b2obob2o 5b2obob2o$743bo9bo2$744b2o5b2o$743b3o5b3o$742b4o5b4o$742bo11bo$743bo2b 2ob2o2bo$743b3o5b3o$744b2o5b2o$740b2ob2o7b2ob2o$739bo3b2o7b2o3bo$738bo
5bo7bo5bo$738b2obo2b2o5b2o2bob2o$738b2obo3bo5bo3bob2o$741bob3o5b3obo$
740bob2o9b2obo2$740b2o13b2o$739b6o7b6o$740bob3o7b3obo$739b2o3bo7bo3b2o
2$744b3o3b3o$742b3obo3bob3o$736b2o4bo4bobo4bo4b2o$734b2ob2o5b3o3b3o5b
2ob2o$734b2o5bo13bo5b2o$735bob5o4bo3bo4b5obo$737b2o2bo4bo3bo4bo2b2o$
738b2ob3o9b3ob2o$736bo5b2o9b2o5bo$741bo13bo$736bo2bo17bo2bo$737bobo17b
obo$737bo21bo$736b3o19b3o$735bo2bo19bo2bo$735bobo21bobo$737bo21bo$735b
obo21bobo$735bobo6bo7bo6bobo$736b2o5b3o5b3o5b2o$737bo4b2obo5bob2o4bo$
737bo6b3o3b3o6bo$737bo3bo3bo5bo3bo3bo$739bo3b3o5b3o3bo$738bo19bo$738bo
4bo9bo4bo$738bobob2o9b2obobo$745bo2bo2bo$737b2o8b3o8b2o$737b2obo15bob
2o$736bobobo2b2o3bo3b2o2bobobo$737b2o2bobo9bobo2b2o$736b3o8bobo8b3o$
737b2o2bo3b2obob2o3bo2b2o$741bo3bo5bo3bo$744b3o3b3o$745b7o$746bo3bo$743bo9bo$742b4o5b4o$741bo2b2o5b2o2bo$741b2o3bo3bo3b2o$741b3o9b3o$741bo
2bobo3bobo2bo$740b2o2b3o3b3o2b2o$741b2o2b2o3b2o2b2o$742bo11bo$743bo9bo
$743b2o7b2o$743b2o7b2o2$744bo7bo$743bobo5bobo$742bo11bo$742bobo7bobo$746b2ob2o$746bo3bo2$745bo5bo$745bob3obo$748bo$743bo9bo$742bob2o5b2obo$
741b2o11b2o$741bo2bo7bo2bo$741bo3bo5bo3bo2$742b3o7b3o$740b2o2bo7bo2b2o
$739bo2bo11bo2bo$742bo11bo$740b2ob4o3b4ob2o$743b2ob2ob2ob2o2$743b2ob2o b2ob2o$744bobobobobo$743b2o7b2o$745bo5bo3$742bo11bo209b3o5b3o$741b2obo
7bob2o207bo3bo3bo3bo$745bo5bo211b2o3bobo3b2o$741b2ob2o5b2ob2o207bob2o
2bo2b2obo$743bo9bo213b5o$746bo3bo211b2o5bo5b2o$742bo4bobo4bo208b2o9b2o$741bo3bobobobo3bo206b2ob2o5b2ob2o$741bo3bo5bo3bo207bo11bo$741bo13bo
204b2obob2o5b2obob2o$740b2o3bo5bo3b2o207bo9bo$739bobo3bo2bo2bo3bobo$739b2o6b3o6b2o207b2o5b2o$746b2ob2o213b3o5b3o$739b3o2bobo3bobo2b3o205b 4o5b4o$738bobo5b2ob2o5bobo204bo11bo$737b2o3b2o3bobo3b2o3b2o204bo2b2ob 2o2bo$739bo2b3o2bobo2b3o2bo206b3o5b3o$741bobobo5bobobo209b2o5b2o$742bo
b2o5b2obo206b2ob2o7b2ob2o$742bo11bo205bo3b2o7b2o3bo$747bobo209bo5bo7bo
5bo$748bo210b2obo2b2o5b2o2bob2o$746bo3bo208b2obo3bo5bo3bob2o$746bo3bo 211bob3o5b3obo$961bob2o9b2obo2$961b2o13b2o$960b6o7b6o$961bob3o7b3obo$
960b2o3bo7bo3b2o2$965b3o3b3o$963b3obo3bob3o$957b2o4bo4bobo4bo4b2o$955b
2ob2o5b3o3b3o5b2ob2o$955b2o5bo13bo5b2o$956bob5o4bo3bo4b5obo$958b2o2bo 4bo3bo4bo2b2o$959b2ob3o9b3ob2o$957bo5b2o9b2o5bo$962bo13bo$957bo2bo17bo 2bo$958bobo17bobo$958bo21bo$957b3o19b3o$956bo2bo19bo2bo$956bobo21bobo$958bo21bo$956bobo21bobo$956bobo6bo7bo6bobo$957b2o5b3o5b3o5b2o$958bo4b 2obo5bob2o4bo$958bo6b3o3b3o6bo$958bo3bo3bo5bo3bo3bo$960bo3b3o5b3o3bo$959bo19bo$959bo4bo9bo4bo$959bobob2o9b2obobo$966bo2bo2bo$958b2o8b3o8b2o$958b2obo15bob2o$957bobobo2b2o3bo3b2o2bobobo$958b2o2bobo9bobo2b2o$957b 3o8bobo8b3o$958b2o2bo3b2obob2o3bo2b2o$962bo3bo5bo3bo$965b3o3b3o$966b7o$967bo3bo$964bo9bo$963b4o5b4o$962bo2b2o5b2o2bo$962b2o3bo3bo3b2o$962b3o 9b3o$962bo2bobo3bobo2bo$961b2o2b3o3b3o2b2o$962b2o2b2o3b2o2b2o$963bo11b o$964bo9bo$964b2o7b2o$964b2o7b2o2$965bo7bo$964bobo5bobo$963bo11bo$963b
obo7bobo$967b2ob2o$967bo3bo2$966bo5bo$966bob3obo$969bo$964bo9bo$963bob 2o5b2obo$962b2o11b2o$962bo2bo7bo2bo$962bo3bo5bo3bo2$963b3o7b3o$961b2o
2bo7bo2b2o$960bo2bo11bo2bo$963bo11bo$961b2ob4o3b4ob2o$964b2ob2ob2ob2o
2$964b2ob2ob2ob2o$965bobobobobo$964b2o7b2o$966bo5bo3$963bo11bo$962b2ob
o7bob2o$966bo5bo$962b2ob2o5b2ob2o$964bo9bo$967bo3bo$963bo4bobo4bo$962b
o3bobobobo3bo$962bo3bo5bo3bo$962bo13bo$961b2o3bo5bo3b2o$960bobo3bo2bo
2bo3bobo$960b2o6b3o6b2o$967b2ob2o$960b3o2bobo3bobo2b3o$959bobo5b2ob2o
5bobo$958b2o3b2o3bobo3b2o3b2o$960bo2b3o2bobo2b3o2bo$962bobobo5bobobo$
963bob2o5b2obo$963bo11bo$968bobo$969bo$967bo3bo$967bo3bo122$695b3o5b3o
$695bobo5bobo$695bobo5bobo$693bob2o3bo3b2obo$693b2o4bobo4b2o$697b2obob 2o$696bo7bo$696bobo3bobo$692b5o7b5o$691bo2bo11bo2bo$692bob3o7b3obo$694bob2o5b2obo$693b2obobo3bobob2o$693b3obo5bob3o2$697b2o3b2o$699bobo$
696bo7bo$696b2o5b2o$693b2o11b2o$691bob2o11b2obo$691b2o2b2o7b2o2b2o$691bo2bo2bo5bo2bo2bo$692bo4bo5bo4bo$692bo2bo2bo3bo2bo2bo$689bo5bo9bo5b
o$690bobo15bobo$694bo11bo$690bo3bobo7bobo3bo$690bo2bo3bo5bo3bo2bo$691b 2o2b2o7b2o2b2o$695bo9bo2$695b5ob5o$688bo6b2ob2ob2ob2o6bo$687b3o7bo5bo 7b3o$687bo2b2o5bo5bo5b2o2bo$689bo3b5o5b5o3bo$694bob2o5b2obo$688bo3bo 15bo3bo$688bob2o2bo11bo2b2obo$688bob4o13b4obo$691bo17bo2$689bo21bo$
688bobo19bobo$687bo25bo$687bo3bo17bo3bo$692bo15bo$687b2o23b2o$689bo3bo 2bo7bo2bo3bo$689bo3bobobo5bobobo3bo$689bo5bob2o3b2obo5bo$689bo3b2obo7b
ob2o3bo$693b2o11b2o$691bo17bo$690bo19bo$690bo4bo9bo4bo$689b2o3b2o9b2o 3b2o$689b2o3bobo7bobo3b2o$689b2o3b2o3b3o3b2o3b2o$689b3o2b3obo3bob3o2b
3o$693bob2obo3bob2obo$689b2o3b2obo5bob2o3b2o$690bob2o3bobobobo3b2obo$
698bobobo$695bo9bo$695b3o5b3o$697b2obob2o$697b7o$695b3o5b3o$694b2obobo
bobob2o$693bo3bo5bo3bo$698b2ob2o$692bo2bobobobobobo2bo$693b4o7b4o$696b o7bo$696bo7bo$693b2obo2bobo2bob2o2$696b2o5b2o3$696bo7bo$696b3o3b3o$695bo2bo3bo2bo$696bo7bo$695bo2bo3bo2bo$698b2ob2o$699bobo$697bobobobo$696bo3bo3bo$696bo7bo$699bobo$694b2obo5bob2o$694b2o2bo3bo2b2o$694bo11bo
$695bo9bo$693bobo9bobo$692b4o9b4o$692b2obobo5bobob2o$691bo2bo11bo2bo$
696bobo3bobo$695b2obo3bob2o$691bo2bo3b2ob2o3bo2bo$696bo2bobo2bo$693bo
2bob2ob2obo2bo$694bobobobobobobo$695b2o2bobo2b2o$696bobo3bobo$697b2o3b
2o$694b2o9b2o$694b3o7b3o$694bobo7bobo$692b2o2bo7bo2b2o$692b2o13b2o$
698bo3bo$693bo4bo3bo4bo$693b2o3bo3bo3b2o$694bo2bo5bo2bo$694b3o7b3o$693bobo9bobo$693b2o11b2o$693bobo4bo4bobo$693b2o4b3o4b2o$693b2o3bo3bo3b 2o$692b3o4b3o4b3o$690b2o17b2o$689bo5b2o2bobo2b2o5bo2$689bo2bob3ob2ob2o b3obo2bo$695b3o5b3o$697b3ob3o$692bo4b2obob2o4bo$698bo3bo2$698b2ob2o5$699b3o5b3o$699bo2bo3bo2bo$697b2o5bo5b2o$697b2o4b3o4b2o$704bo$701b2o3b
2o$697bo3bo5bo3bo$697bo2bo7bo2bo$697bobo9bobo$696bobo11bobo$697b2obo7b ob2o$698bob2o5b2obo$701bo5bo$699b3o5b3o$698b5o3b5o$697b3obo5bob3o$697b 2o11b2o$698b2ob2o3b2ob2o$699b2o7b2o$697b3o9b3o$695b2ob2o9b2ob2o$696bo
15bo$694bob2o2b2o5b2o2b2obo$693bo2bo3b2o5b2o3bo2bo$694b2o3bo2bo3bo2bo 3b2o$694b2obobo9bobob2o$699b2o7b2o$696bo15bo$695b2o2bo9bo2b2o$700bo7bo
$695bo4b2o5b2o4bo$696bo3b2o5b2o3bo$696bo2b2o7b2o2bo$700bob2ob2obo$692b 2o8b2ob2o8b2o$691b2obo4bo3bobo3bo4bob2o$691bo2bo6b3ob3o6bo2bo$690b4o2b
3o2b2o3b2o2b3o2b4o$691b2o3b3o11b3o3b2o$691b3o21b3o$695b4o11b4o$696bo2b
o9bo2bo$695bobo13bobo$693bo21bo$693bo21bo$692bo23bo$693bo21bo$692bob2o
17b2obo$692bo2bo17bo2bo$692bo2bo17bo2bo$695bo4bo7bo4bo$695bo3b3o5b3o3b
o$695bo2bo2bo5bo2bo2bo$695bob2o11b2obo$692bo2bo2b2o9b2o2bo2bo$694b2o2b
2obo5bob2o2b2o$693b2o4b2o7b2o4b2o$695bo2b2o9b2o2bo$693bo21bo$695bo2bob
o3bo3bobo2bo$693bo2bo2bo3bobo3bo2bo2bo$692bo2bo6bo3bo6bo2bo$692bob6o3b obo3b6obo$697bo2bo3bo3bo2bo$696bo3b2o2bo2b2o3bo$693bo4bobo7bobo4bo$693bo7bo5bo7bo$701bo5bo$703b3o$700bo3bo3bo$699bob3ob3obo$698b2obo5bob
2o$697b6o3b6o$697bo2bobo3bobo2bo$696b2o2b3o3b3o2b2o$699bo2bo3bo2bo$702bo3bo$697b2o3b2ob2o3b2o$696bo4bo5bo4bo$701bo5bo$700bo7bo$698bo11bo$698bobo7bobo$701bo5bo$701bo5bo$700b2o5b2o$698bobo7bobo$699b4o3b4o$701b obobobo$701bobobobo$702bobobo$702bobobo$702bo3bo$702bo3bo$698b3o3bo3b 3o$697bo13bo$700b2o5b2o$696b3o11b3o$697b3o9b3o$697bo2bo7bo2bo$696bo4bo 5bo4bo$696bo3bo7bo3bo$695b2obo2bo5bo2bob2o$696bobob3o3b3obobo$697bo2bo 2bobo2bo2bo$698bo3b2ob2o3bo$698bob2o5b2obo$701b2obob2o$702bobobo$699b
3o5b3o$699b2o7b2o2$698bo11bo$697bobo9bobo$697bob2o7b2obo$697bo3bo5bo3b o$698bo3bo3bo3bo$698bo2bo5bo2bo$699b2o7b2o2$696bobo11bobo$696bo2bo9bo
2bo$699bo9bo$703b3o$695bob2o4b3o4b2obo$695bobo3bo2bo2bo3bobo$697bo13bo$694b2o4bo2bobo2bo4b2o$693bo5b5ob5o5bo$696bo3bo2bobo2bo3bo$693b2ob2o4b 2ob2o4b2ob2o$696b2o2bobo3bobo2b2o$697b6o3b6o$698b3o7b3o$703b3o$703bobo
$703bobo28$1270bo7bo$1269b3o5b3o$1269bobo5bobo$1267bobo4bo4bobo$1267b
2o4bobo4b2o$1272bobobo$1271b2o3b2o$1270b3o3b3o$1266b2o2bo7bo2b2o$1266b 2obo9bob2o$1266bo15bo$1268bob2o5b2obo$1267b2ob2o5b2ob2o$1272bo3bo$37bo
7bo1222bo11bo$36bobo5bobo1220bo4bo3bo4bo$35b2ob2o3b2ob2o1223b2o3b2o$36bobo5bobo1224b2o3b2o$34bob2o3bo3b2obo1218bo3bo5bo3bo$34b7ob7o1218bo 3bo5bo3bo$38b7o1221b2o13b2o$37bob2ob2obo1219b2o2bo9bo2b2o$34b2obo7bob
2o1219b3o7b3o$33b3ob2o5b2ob3o1216b2o2b2o5b2o2b2o$32bo17bo1212bo2b2obo
2bo3bo2bob2o2bo$35bob2o5b2obo1215bo4b2obo5bob2o4bo$1264b3o2bo9bo2b3o$39bo3bo1221b2ob3o7b3ob2o$34bob3o5b3obo1216b2o2b2o7b2o2b2o$35bob3o3b3ob o1217b2o15b2o$39bo3bo1221b2o2b3o5b3o2b2o$38b2o3b2o1224bo9bo$37b2o5b2o
1219b2o15b2o$36b3o5b3o1222bo2bo3bo2bo$33b4o9b4o1219b2ob2ob2ob2o$32bo 17bo1210b3o7bo5bo7b3o$31b2o3b2o7b2o3b2o1209bo2bo6bo5bo6bo2bo$32bobobob o5bobobobo1213b2ob2ob2obobob2ob2ob2o$32b3o2b3o3b3o2b3o1209bo2bob2obo2b
obobobo2bob2obo2bo$37bo7bo1220bobo11bobo$32bo17bo1210bobobo17bobobo$1262bo2b4o11b4o2bo$32bobobo9bobobo$34b3o9b3o1217bo15bo$31bob3o2bo5bo2b
3obo1212bo19bo$32b2ob3o7b3ob2o1211b2o21b2o$36b2o7b2o1215b2o21b2o$36bob 2o3b2obo1215b3o19b3o$36bo3bobo3bo1215bob2o17b2obo$28b3o5bo3bobo3bo5b3o 1206b2o2b2o15b2o2b2o$28bob2o6bo5bo6b2obo1209b3o15b3o$28bo2bo3b2ob2o3b 2ob2o3bo2bo1209b3o2b3o5b3o2b3o$31bo2b2o3bo3bo3b2o2bo1212b3o2bobo5bobo
2b3o$35bo2bo5bo2bo1216b2ob2o2bo5bo2b2ob2o$30bobobobo9bobobobo1211b2obo
13bob2o$28b2obo19bob2o1210bo4bo7bo4bo$34bo13bo1216bo17bo$31b2o17b2o 1211bo21bo$1263bo4b3o7b3o4bo$30bo21bo1211bo3bo11bo3bo$29b2o21b2o1210bo
4bo4bo4bo4bo$28b2o23b2o1209b3o2bo3b3o3bo2b3o$1262bo6bo2b2ob2o2bo6bo$28b2o23b2o1208b3ob3o3b3o3b3ob3o$29bo23bo1216b2ob3ob2o$30bo4bobo7bobo4b o1214bo2b2o5b2o2bo$29b3o4bob2o3b2obo4b3o1215b2o7b2o$29b3o2bobob2o3b2ob obo2b3o1216b2o5b2o$34bo2b2o5b2o2bo1223bobobo$33b4o9b4o1223b3o$1270b2o
5b2o$31b2o17b2o1216b2ob7ob2o$31b2o2b2o9b2o2b2o1215bo5bobo5bo$32bo2bobo 7bobo2bo1216bo4bo3bo4bo$29bo2bobo2bo3bo3bo2bobo2bo1219bobo$29bo4bo3bob 3obo3bo4bo1212b5ob2ob2ob5o$30bobobo4bobobo4bobobo1217bob2ob2obo$32bobo 4bo3bo4bobo1217bo2b2o3b2o2bo$30b4o2bobo5bobo2b4o1214bo3b3ob3o3bo$30b3o b2ob2ob3ob2ob2ob3o1214bo3bo5bo3bo$39b5o1226b2o5b2o$36bobo5bobo$36bob2o
3b2obo$41bo1227bo9bo$41bo1228b2o5b2o$35b2o9b2o1223b2o3b2o$35b2obo5bob
2o1221b3o5b3o$35bob2obobob2obo1224bo3bo$37b2obobob2o1223bo2bo3bo2bo$34bobobobobobobobo1224bobo$34b2o2bo5bo2b2o975b3o5b3o236bobobobo$35bob 2o5b2obo976bobo5bobo236b2obob2o$37b2o5b2o978bobo5bobo236b2o3b2o$36bo9b o975bob2o3bo3b2obo234b2o3b2o$36b3o5b3o975b2o4bobo4b2o232bobobobobobo$1026b2obob2o235b2o9b2o$1025bo7bo234bo2bo5bo2bo$1025bobo3bobo232bobo11b obo$37bo7bo975b5o7b5o228bo3bo7bo3bo$36b2obo3bob2o973bo2bo11bo2bo230bo 9bo$36bo2bo3bo2bo974bob3o7b3obo228b2ob2o7b2ob2o$36b3o5b3o976bob2o5b2ob o230b2o2b2o5b2o2b2o$38b3ob3o977b2obobo3bobob2o229bo3b2o5b2o3bo$39b2ob 2o978b3obo5bob3o228b2o5bo3bo5b2o$40bobo1222b2obobobo3bobobob2o$39b2ob 2o982b2o3b2o234b2obo2bobo2bob2o$37b2o2bo2b2o982bobo236b2obob2ob2obob2o
$41bo983bo7bo235b2o3bo3b2o$36b2o7b2o978b2o5b2o236bobo3bobo$35b3obo3bob 3o974b2o11b2o235bo3bo$34bo2bo7bo2bo971bob2o11b2obo230bobo5bobo$35bo11b o972b2o2b2o7b2o2b2o230bobo5bobo$36bo9bo973bo2bo2bo5bo2bo2bo230bo9bo$33b2ob2o7b2ob2o971bo4bo5bo4bo230bo11bo$36bo9bo974bo2bo2bo3bo2bo2bo229b
ob2o7b2obo$32bo3b2o7b2o3bo967bo5bo9bo5bo225b2ob2o7b2ob2o$33b6o5b6o969b
obo15bobo227bob3o5b3obo$37bo7bo977bo11bo231b2o2b2o3b2o2b2o$36b2obo3bob
2o972bo3bobo7bobo3bo228bob2o5b2obo$37bob2ob2obo973bo2bo3bo5bo3bo2bo 229b2o7b2o$36bo9bo973b2o2b2o7b2o2b2o230bo9bo$37bobo3bobo978bo9bo232bo 13bo$35bobobo3bobobo1219b3o9b3o$37bob5obo978b5ob5o239bo$36b2ob2ob2ob2o
970bo6b2ob2ob2ob2o6bo226bo4bobo4bo$36b4o3b4o969b3o7bo5bo7b3o224b2o3bo 3bo3b2o$35bo2bo5bo2bo968bo2b2o5bo5bo5b2o2bo224bo5b3o5bo$34bo2bo7bo2bo 969bo3b5o5b5o3bo223b2o8bo8b2o$35bob2o5b2obo975bob2o5b2obo228bo4b2o2bob
o2b2o4bo$33bob2o9b2obo967bo3bo15bo3bo222b2o3bo3bobo3bo3b2o$33b2o13b2o
967bob2o2bo11bo2b2obo221b5ob2o7b2ob5o$33b2o13b2o967bob4o13b4obo230b2ob 2o$34b2o2b3ob3o2b2o971bo17bo226bo4bo7bo4bo$34b2o2b2o3b2o2b2o1217bo5bo 3bo5bo$37b2o5b2o972bo21bo226bo4b5o4bo$34bo2bo7bo2bo968bobo19bobo227bo 3bobo3bo$34bo2bo7bo2bo967bo25bo229b2ob2o$33b2obo9bob2o966bo3bo17bo3bo$
33bo2bo3b3o3bo2bo971bo15bo$33bo2bo3b3o3bo2bo966b2o23b2o$36bo2bo3bo2bo
971bo3bo2bo7bo2bo3bo$32b2obo4b3o4bob2o967bo3bobobo5bobobo3bo$31b6o3bob
o3b6o966bo5bob2o3b2obo5bo$31bo19bo966bo3b2obo7bob2o3bo$35bo2b3ob3o2bo
974b2o11b2o$35bo3bo3bo3bo972bo17bo$35bo11bo971bo19bo$40b3o976bo4bo9bo 4bo$41bo976b2o3b2o9b2o3b2o$38b3ob3o973b2o3bobo7bobo3b2o$39b2ob2o974b2o
3b2o3b3o3b2o3b2o$1018b3o2b3obo3bob3o2b3o$1022bob2obo3bob2obo$1018b2o3b 2obo5bob2o3b2o$1019bob2o3bobobobo3b2obo$1027bobobo$1024bo9bo$1024b3o5b 3o$1026b2obob2o$1026b7o$1024b3o5b3o$1023b2obobobobob2o185b3o5b3o$1022b
o3bo5bo3bo184bobo5bobo$1027b2ob2o189bobo5bobo$1021bo2bobobobobobo2bo
181bob2o3bo3b2obo$1022b4o7b4o182b2o4bobo4b2o$1025bo7bo189b2obob2o$1025bo7bo188bo7bo$1022b2obo2bobo2bob2o185bobo3bobo$1218b5o7b5o$1025b2o
5b2o183bo2bo11bo2bo$1218bob3o7b3obo$1220bob2o5b2obo$1025bo7bo185b2obob o3bobob2o$1025b3o3b3o185b3obo5bob3o$1024bo2bo3bo2bo$1025bo7bo189b2o3b
2o$1024bo2bo3bo2bo190bobo$1027b2ob2o190bo7bo$1028bobo191b2o5b2o$1026bo
bobobo186b2o11b2o$1025bo3bo3bo183bob2o11b2obo$1025bo7bo183b2o2b2o7b2o
2b2o$1028bobo186bo2bo2bo5bo2bo2bo$1023b2obo5bob2o182bo4bo5bo4bo$1023b 2o2bo3bo2b2o182bo2bo2bo3bo2bo2bo$1023bo11bo179bo5bo9bo5bo$1024bo9bo 181bobo15bobo$1022bobo9bobo183bo11bo$1021b4o9b4o178bo3bobo7bobo3bo$
1021b2obobo5bobob2o178bo2bo3bo5bo3bo2bo$1020bo2bo11bo2bo178b2o2b2o7b2o 2b2o$1025bobo3bobo187bo9bo$1024b2obo3bob2o$1020bo2bo3b2ob2o3bo2bo182b
5ob5o$1025bo2bobo2bo180bo6b2ob2ob2ob2o6bo$1022bo2bob2ob2obo2bo176b3o7b
o5bo7b3o$1023bobobobobobobo177bo2b2o5bo5bo5b2o2bo$1024b2o2bobo2b2o180b
o3b5o5b5o3bo$1025bobo3bobo186bob2o5b2obo$1026b2o3b2o181bo3bo15bo3bo$1023b2o9b2o178bob2o2bo11bo2b2obo$1023b3o7b3o178bob4o13b4obo$1023bobo7b obo181bo17bo$1021b2o2bo7bo2b2o$1021b2o13b2o177bo21bo$1027bo3bo182bobo
19bobo$1022bo4bo3bo4bo176bo25bo$1022b2o3bo3bo3b2o176bo3bo17bo3bo$1023b o2bo5bo2bo182bo15bo$1023b3o7b3o177b2o23b2o$1022bobo9bobo178bo3bo2bo7bo 2bo3bo$1022b2o11b2o178bo3bobobo5bobobo3bo$1022bobo4bo4bobo178bo5bob2o 3b2obo5bo$1022b2o4b3o4b2o178bo3b2obo7bob2o3bo$1022b2o3bo3bo3b2o182b2o 11b2o$1021b3o4b3o4b3o179bo17bo$1019b2o17b2o176bo19bo$1018bo5b2o2bobo2b
2o5bo175bo4bo9bo4bo$1215b2o3b2o9b2o3b2o$1018bo2bob3ob2ob2ob3obo2bo174b
2o3bobo7bobo3b2o$1024b3o5b3o180b2o3b2o3b3o3b2o3b2o$1026b3ob3o182b3o2b
3obo3bob3o2b3o$1021bo4b2obob2o4bo181bob2obo3bob2obo$1027bo3bo183b2o3b
2obo5bob2o3b2o$1216bob2o3bobobobo3b2obo$1027b2ob2o192bobobo$1221bo9bo$
1221b3o5b3o$1223b2obob2o$1223b7o$1221b3o5b3o$1220b2obobobobob2o$1219bo 3bo5bo3bo$1224b2ob2o$1218bo2bobobobobobo2bo$1219b4o7b4o$1222bo7bo$
1222bo7bo$1219b2obo2bobo2bob2o2$1222b2o5b2o3$1222bo7bo$1222b3o3b3o$1221bo2bo3bo2bo$1222bo7bo$1221bo2bo3bo2bo$1224b2ob2o$1225bobo$1223bobo
bobo$1222bo3bo3bo$1222bo7bo$1225bobo$1220b2obo5bob2o$1220b2o2bo3bo2b2o$1220bo11bo$1221bo9bo$1219bobo9bobo$1218b4o9b4o$1218b2obobo5bobob2o$1217bo2bo11bo2bo$1222bobo3bobo$1221b2obo3bob2o$1217bo2bo3b2ob2o3bo2bo$1222bo2bobo2bo$1219bo2bob2ob2obo2bo$1220bobobobobobobo$1221b2o2bobo2b
2o$1222bobo3bobo$1223b2o3b2o$1220b2o9b2o$1220b3o7b3o$1220bobo7bobo$
1218b2o2bo7bo2b2o$1218b2o13b2o$1224bo3bo$1219bo4bo3bo4bo$1219b2o3bo3bo
3b2o$1220bo2bo5bo2bo$1220b3o7b3o$1219bobo9bobo$1219b2o11b2o$1219bobo4b o4bobo$1219b2o4b3o4b2o$1219b2o3bo3bo3b2o$1218b3o4b3o4b3o$1216b2o17b2o$
1215bo5b2o2bobo2b2o5bo2$1215bo2bob3ob2ob2ob3obo2bo$1221b3o5b3o$1223b3o b3o$1218bo4b2obob2o4bo$1224bo3bo2$1224b2ob2o22$8b3o5b3o$8bobo5bobo$8bo bo5bobo$6bob2o3bo3b2obo$6b2o4bobo4b2o$10b2obob2o$9bo7bo$9bobo3bobo$5b 5o7b5o$4bo2bo11bo2bo$5bob3o7b3obo$7bob2o5b2obo$6b2obobo3bobob2o$6b3obo
5bob3o2$10b2o3b2o$12bobo$9bo7bo$9b2o5b2o$6b2o11b2o$4bob2o11b2obo$4b2o 2b2o7b2o2b2o$4bo2bo2bo5bo2bo2bo$5bo4bo5bo4bo$5bo2bo2bo3bo2bo2bo$2bo5bo 9bo5bo$3bobo15bobo$7bo11bo$3bo3bobo7bobo3bo$3bo2bo3bo5bo3bo2bo$4b2o2b
2o7b2o2b2o$8bo9bo2$8b5ob5o$bo6b2ob2ob2ob2o6bo$3o7bo5bo7b3o$o2b2o5bo5bo 5b2o2bo$2bo3b5o5b5o3bo$7bob2o5b2obo$bo3bo15bo3bo$bob2o2bo11bo2b2obo$bo
b4o13b4obo$4bo17bo2$2bo21bo$bobo19bobo$o25bo$o3bo17bo3bo$5bo15bo$2o23b 2o$2bo3bo2bo7bo2bo3bo$2bo3bobobo5bobobo3bo$2bo5bob2o3b2obo5bo$2bo3b2ob o7bob2o3bo$6b2o11b2o$4bo17bo$3bo19bo$3bo4bo9bo4bo$2b2o3b2o9b2o3b2o$2b 2o3bobo7bobo3b2o$2b2o3b2o3b3o3b2o3b2o$2b3o2b3obo3bob3o2b3o$6bob2obo3bo
b2obo$2b2o3b2obo5bob2o3b2o$3bob2o3bobobobo3b2obo$11bobobo$8bo9bo$8b3o 5b3o$10b2obob2o$10b7o$8b3o5b3o$7b2obobobobob2o$6bo3bo5bo3bo$11b2ob2o$
5bo2bobobobobobo2bo$6b4o7b4o$9bo7bo$9bo7bo$6b2obo2bobo2bob2o2$9b2o5b2o 3$9bo7bo$9b3o3b3o$8bo2bo3bo2bo$9bo7bo$8bo2bo3bo2bo$11b2ob2o$12bobo$10b obobobo$9bo3bo3bo$9bo7bo$12bobo$7b2obo5bob2o$7b2o2bo3bo2b2o$7bo11bo$8b
o9bo$6bobo9bobo$5b4o9b4o$5b2obobo5bobob2o$4bo2bo11bo2bo$9bobo3bobo$8b
2obo3bob2o$4bo2bo3b2ob2o3bo2bo$9bo2bobo2bo$6bo2bob2ob2obo2bo$7bobobobo
bobobo$8b2o2bobo2b2o$9bobo3bobo$10b2o3b2o$7b2o9b2o$7b3o7b3o$7bobo7bobo
$5b2o2bo7bo2b2o$5b2o13b2o$11bo3bo$6bo4bo3bo4bo$6b2o3bo3bo3b2o$7bo2bo5b
o2bo$7b3o7b3o$6bobo9bobo$6b2o11b2o$6bobo4bo4bobo$6b2o4b3o4b2o$6b2o3bo
3bo3b2o$5b3o4b3o4b3o$3b2o17b2o$2bo5b2o2bobo2b2o5bo2$2bo2bob3ob2ob2ob3o
bo2bo$8b3o5b3o$10b3ob3o$5bo4b2obob2o4bo$11bo3bo2$11b2ob2o174$1085b3o5b
3o$1085bo2bo3bo2bo$1083b2o5bo5b2o$1083b2o4b3o4b2o$1090bo$1087b2o3b2o$
1083bo3bo5bo3bo$1083bo2bo7bo2bo$1083bobo9bobo$1082bobo11bobo$1083b2obo
7bob2o$1084bob2o5b2obo$1087bo5bo$1085b3o5b3o$1084b5o3b5o$1083b3obo5bob 3o$1083b2o11b2o$1084b2ob2o3b2ob2o$1085b2o7b2o$1083b3o9b3o$1081b2ob2o9b
2ob2o$1082bo15bo$1080bob2o2b2o5b2o2b2obo$1079bo2bo3b2o5b2o3bo2bo$1080b
2o3bo2bo3bo2bo3b2o$1080b2obobo9bobob2o$1085b2o7b2o$1082bo15bo$1081b2o
2bo9bo2b2o$1086bo7bo$1081bo4b2o5b2o4bo$1082bo3b2o5b2o3bo$1082bo2b2o7b
2o2bo$1086bob2ob2obo$1078b2o8b2ob2o8b2o$326b3o5b3o740b2obo4bo3bobo3bo 4bob2o$325bo3bo3bo3bo739bo2bo6b3ob3o6bo2bo$325b2o3bobo3b2o738b4o2b3o2b 2o3b2o2b3o2b4o$325bob2o2bo2b2obo739b2o3b3o11b3o3b2o$329b5o743b3o21b3o$
324b2o5bo5b2o742b4o11b4o$325b2o9b2o744bo2bo9bo2bo$324b2ob2o5b2ob2o742b
obo13bobo$325bo11bo741bo21bo$322b2obob2o5b2obob2o738bo21bo$326bo9bo 741bo23bo$1079bo21bo$327b2o5b2o742bob2o17b2obo$326b3o5b3o741bo2bo17bo
2bo$325b4o5b4o740bo2bo17bo2bo$325bo11bo743bo4bo7bo4bo$326bo2b2ob2o2bo 744bo3b3o5b3o3bo$326b3o5b3o744bo2bo2bo5bo2bo2bo$327b2o5b2o745bob2o11b 2obo$323b2ob2o7b2ob2o738bo2bo2b2o9b2o2bo2bo$322bo3b2o7b2o3bo739b2o2b2o bo5bob2o2b2o$321bo5bo7bo5bo737b2o4b2o7b2o4b2o$321b2obo2b2o5b2o2bob2o 739bo2b2o9b2o2bo$321b2obo3bo5bo3bob2o737bo21bo$324bob3o5b3obo742bo2bob o3bo3bobo2bo$323bob2o9b2obo739bo2bo2bo3bobo3bo2bo2bo$1078bo2bo6bo3bo6b o2bo$323b2o13b2o738bob6o3bobo3b6obo$322b6o7b6o742bo2bo3bo3bo2bo$323bob
3o7b3obo742bo3b2o2bo2b2o3bo$322b2o3bo7bo3b2o738bo4bobo7bobo4bo$1079bo
7bo5bo7bo$327b3o3b3o751bo5bo$325b3obo3bob3o751b3o$319b2o4bo4bobo4bo4b 2o742bo3bo3bo$317b2ob2o5b3o3b3o5b2ob2o739bob3ob3obo$317b2o5bo13bo5b2o 738b2obo5bob2o$318bob5o4bo3bo4b5obo738b6o3b6o$320b2o2bo4bo3bo4bo2b2o 740bo2bobo3bobo2bo$321b2ob3o9b3ob2o740b2o2b3o3b3o2b2o$319bo5b2o9b2o5bo 741bo2bo3bo2bo$324bo13bo749bo3bo$319bo2bo17bo2bo739b2o3b2ob2o3b2o$320b
obo17bobo739bo4bo5bo4bo$320bo21bo744bo5bo$319b3o19b3o742bo7bo$318bo2bo 19bo2bo739bo11bo$318bobo21bobo739bobo7bobo$320bo21bo744bo5bo$318bobo
21bobo742bo5bo$318bobo6bo7bo6bobo741b2o5b2o$319b2o5b3o5b3o5b2o740bobo
7bobo$320bo4b2obo5bob2o4bo742b4o3b4o$320bo6b3o3b3o6bo744bobobobo$320bo 3bo3bo5bo3bo3bo744bobobobo$322bo3b3o5b3o3bo747bobobo$321bo19bo746bobob o$321bo4bo9bo4bo746bo3bo$321bobob2o9b2obobo746bo3bo$328bo2bo2bo749b3o
3bo3b3o$320b2o8b3o8b2o329b3o5b3o400bo13bo$320b2obo15bob2o328bo3bo3bo3b
o402b2o5b2o$319bobobo2b2o3bo3b2o2bobobo327b2o3bobo3b2o398b3o11b3o$320b
2o2bobo9bobo2b2o328bob2o2bo2b2obo399b3o9b3o$319b3o8bobo8b3o331b5o403bo 2bo7bo2bo$320b2o2bo3b2obob2o3bo2b2o327b2o5bo5b2o397bo4bo5bo4bo$324bo3b o5bo3bo332b2o9b2o398bo3bo7bo3bo$327b3o3b3o334b2ob2o5b2ob2o396b2obo2bo
5bo2bob2o$328b7o336bo11bo398bobob3o3b3obobo$329bo3bo334b2obob2o5b2obob
2o396bo2bo2bobo2bo2bo$326bo9bo335bo9bo401bo3b2ob2o3bo$325b4o5b4o746bob
2o5b2obo$324bo2b2o5b2o2bo334b2o5b2o405b2obob2o$324b2o3bo3bo3b2o333b3o
5b3o405bobobo$324b3o9b3o332b4o5b4o401b3o5b3o$324bo2bobo3bobo2bo332bo
11bo401b2o7b2o$323b2o2b3o3b3o2b2o332bo2b2ob2o2bo$324b2o2b2o3b2o2b2o
333b3o5b3o401bo11bo$325bo11bo335b2o5b2o401bobo9bobo$326bo9bo332b2ob2o
7b2ob2o397bob2o7b2obo$326b2o7b2o331bo3b2o7b2o3bo396bo3bo5bo3bo$326b2o
7b2o330bo5bo7bo5bo396bo3bo3bo3bo$667b2obo2b2o5b2o2bob2o396bo2bo5bo2bo$
327bo7bo331b2obo3bo5bo3bob2o397b2o7b2o$326bobo5bobo333bob3o5b3obo$325b
o11bo331bob2o9b2obo396bobo11bobo$325bobo7bobo744bo2bo9bo2bo$329b2ob2o
335b2o13b2o399bo9bo$329bo3bo334b6o7b6o402b3o$669bob3o7b3obo395bob2o4b
3o4b2obo$328bo5bo333b2o3bo7bo3b2o394bobo3bo2bo2bo3bobo$328bob3obo748bo
13bo$331bo341b3o3b3o398b2o4bo2bobo2bo4b2o$326bo9bo334b3obo3bob3o395bo
5b5ob5o5bo$325bob2o5b2obo327b2o4bo4bobo4bo4b2o392bo3bo2bobo2bo3bo$324b
2o11b2o324b2ob2o5b3o3b3o5b2ob2o387b2ob2o4b2ob2o4b2ob2o$324bo2bo7bo2bo 324b2o5bo13bo5b2o390b2o2bobo3bobo2b2o$324bo3bo5bo3bo325bob5o4bo3bo4b5o
bo392b6o3b6o$666b2o2bo4bo3bo4bo2b2o395b3o7b3o$325b3o7b3o329b2ob3o9b3ob
2o401b3o$323b2o2bo7bo2b2o325bo5b2o9b2o5bo399bobo$322bo2bo11bo2bo329bo
13bo404bobo$325bo11bo327bo2bo17bo2bo$323b2ob4o3b4ob2o326bobo17bobo$326b2ob2ob2ob2o329bo21bo$665b3o19b3o$326b2ob2ob2ob2o327bo2bo19bo2bo$
327bobobobobo328bobo21bobo$326b2o7b2o329bo21bo$328bo5bo329bobo21bobo$664bobo6bo7bo6bobo$665b2o5b3o5b3o5b2o$325bo11bo328bo4b2obo5bob2o4bo$
324b2obo7bob2o327bo6b3o3b3o6bo$328bo5bo331bo3bo3bo5bo3bo3bo$324b2ob2o
5b2ob2o329bo3b3o5b3o3bo$326bo9bo330bo19bo449bo7bo$329bo3bo333bo4bo9bo
4bo448b3o5b3o$325bo4bobo4bo329bobob2o9b2obobo448bobo5bobo$324bo3bobobo
bo3bo335bo2bo2bo453bobo4bo4bobo$324bo3bo5bo3bo327b2o8b3o8b2o445b2o4bob o4b2o$324bo13bo327b2obo15bob2o450bobobo$323b2o3bo5bo3b2o325bobobo2b2o 3bo3b2o2bobobo448b2o3b2o$322bobo3bo2bo2bo3bobo325b2o2bobo9bobo2b2o448b
3o3b3o$322b2o6b3o6b2o324b3o8bobo8b3o443b2o2bo7bo2b2o$329b2ob2o332b2o2b
o3b2obob2o3bo2b2o444b2obo9bob2o$322b3o2bobo3bobo2b3o329bo3bo5bo3bo448b o15bo$321bobo5b2ob2o5bobo331b3o3b3o453bob2o5b2obo$320b2o3b2o3bobo3b2o 3b2o331b7o453b2ob2o5b2ob2o$322bo2b3o2bobo2b3o2bo334bo3bo459bo3bo$324bo bobo5bobobo333bo9bo452bo11bo$325bob2o5b2obo333b4o5b4o450bo4bo3bo4bo$325bo11bo332bo2b2o5b2o2bo453b2o3b2o$330bobo337b2o3bo3bo3b2o453b2o3b2o$331bo338b3o9b3o449bo3bo5bo3bo$329bo3bo336bo2bobo3bobo2bo449bo3bo5bo3bo
$329bo3bo335b2o2b3o3b3o2b2o447b2o13b2o$670b2o2b2o3b2o2b2o447b2o2bo9bo
2b2o$671bo11bo451b3o7b3o$672bo9bo450b2o2b2o5b2o2b2o$672b2o7b2o447bo2b 2obo2bo3bo2bob2o2bo$672b2o7b2o447bo4b2obo5bob2o4bo$1131b3o2bo9bo2b3o$
673bo7bo450b2ob3o7b3ob2o$672bobo5bobo449b2o2b2o7b2o2b2o$671bo11bo448b
2o15b2o$671bobo7bobo448b2o2b3o5b3o2b2o$675b2ob2o456bo9bo$675bo3bo452b 2o15b2o$1136bo2bo3bo2bo$674bo5bo455b2ob2ob2ob2o$674bob3obo447b3o7bo5bo
7b3o$677bo450bo2bo6bo5bo6bo2bo$672bo9bo448b2ob2ob2obobob2ob2ob2o$671bo b2o5b2obo443bo2bob2obo2bobobobo2bob2obo2bo$670b2o11b2o448bobo11bobo$670bo2bo7bo2bo443bobobo17bobobo$670bo3bo5bo3bo444bo2b4o11b4o2bo2$671b 3o7b3o449bo15bo$279bo7bo381b2o2bo7bo2b2o445bo19bo$278b3o5b3o379bo2bo 11bo2bo442b2o21b2o$277bo2b2o3b2o2bo381bo11bo445b2o21b2o$276b2ob9ob2o 378b2ob4o3b4ob2o443b3o19b3o$277bob2o5b2obo382b2ob2ob2ob2o446bob2o17b2o
bo$276b3ob2o3b2ob3o837b2o2b2o15b2o2b2o$276b3o4bo4b3o381b2ob2ob2ob2o
448b3o15b3o$279bo7bo385bobobobobo449b3o2b3o5b3o2b3o$276bo2bo7bo2bo381b
2o7b2o448b3o2bobo5bobo2b3o$275bobo11bobo382bo5bo450b2ob2o2bo5bo2b2ob2o$276b2obo7bob2o840b2obo13bob2o$278b2o7b2o843bo4bo7bo4bo$279bo7bo383bo
11bo448bo17bo$278bobo5bobo381b2obo7bob2o445bo21bo$277bo3bo3bo3bo384bo
5bo449bo4b3o7b3o4bo$277bo2bo5bo2bo380b2ob2o5b2ob2o446bo3bo11bo3bo$277b
o2b2o3b2o2bo382bo9bo448bo4bo4bo4bo4bo$277b2ob2o3b2ob2o385bo3bo451b3o2b o3b3o3bo2b3o$278bo9bo382bo4bobo4bo445bo6bo2b2ob2o2bo6bo$277bo11bo380bo 3bobobobo3bo445b3ob3o3b3o3b3ob3o$275bobo11bobo378bo3bo5bo3bo452b2ob3ob
2o$274b2obo2bo5bo2bob2o377bo13bo449bo2b2o5b2o2bo$273bobo15bobo375b2o3b
o5bo3b2o450b2o7b2o$272bo6b2o5b2o6bo373bobo3bo2bo2bo3bobo450b2o5b2o$
273b2obobo2bo3bo2bobob2o374b2o6b3o6b2o452bobobo$274bobobobo5bobobobo 382b2ob2o460b3o$276b3o9b3o377b3o2bobo3bobo2b3o450b2o5b2o$275bobo11bobo 375bobo5b2ob2o5bobo447b2ob7ob2o$274bo3bo9bo3bo373b2o3b2o3bobo3b2o3b2o
445bo5bobo5bo$274bo4bo7bo4bo375bo2b3o2bobo2b3o2bo447bo4bo3bo4bo$280bo
5bo383bobobo5bobobo455bobo$274b3o2bo7bo2b3o378bob2o5b2obo449b5ob2ob2ob 5o$279bo7bo383bo11bo453bob2ob2obo$279bobo3bobo388bobo456bo2b2o3b2o2bo$
277bobob2ob2obobo387bo456bo3b3ob3o3bo$270b4o3bo4bobo4bo3b4o378bo3bo 454bo3bo5bo3bo$269bo2b2o6b2o3b2o6b2o2bo377bo3bo457b2o5b2o$276bo4bo3bo 4bo$269b2obobob2o11b2obobob2o$271bo23bo840bo9bo$273b4obo9bob4o843b2o5b
2o$275bo2bo9bo2bo846b2o3b2o$277bo11bo846b3o5b3o$273bobo15bobo845bo3bo$
271b2o21b2o840bo2bo3bo2bo$1140bobo$271bobo19bobo842bobobobo$270bo2bo 19bo2bo841b2obob2o$272b2o19b2o843b2o3b2o$272b2o19b2o843b2o3b2o$272b2o
19b2o841bobobobobobo$270bob2o4b3o5b3o4b2obo838b2o9b2o$272b2o3bo2bo5bo
2bo3b2o840bo2bo5bo2bo$272b2o3bo11bo3b2o838bobo11bobo$271b3o3b2o2bo3bo
2b2o3b3o837bo3bo7bo3bo$273bo4bo9bo4bo842bo9bo$273bo5b2o5b2o5bo839b2ob
2o7b2ob2o$273b2o3bo9bo3b2o839b2o2b2o5b2o2b2o$272b2o3b2o9b2o3b2o838bo3b
2o5b2o3bo$274bo2b3o7b3o2bo839b2o5bo3bo5b2o$272b3o7b3o7b3o426bo7bo402b
2obobobo3bobobob2o$272b3o7b3o7b3o425b3o5b3o403b2obo2bobo2bob2o$271bo
10bobo10bo423bo2b2o3b2o2bo402b2obob2ob2obob2o$271bo3b5o7b5o3bo422b2ob 9ob2o403b2o3bo3b2o$277b3o3bo3b3o429bob2o5b2obo405bobo3bobo$271bo2bo2bo 3b5o3bo2bo2bo422b3ob2o3b2ob3o406bo3bo$271bobo6b7o6bobo422b3o4bo4b3o
403bobo5bobo$282bobo436bo7bo406bobo5bobo$279bo3bo3bo430bo2bo7bo2bo403b
o9bo$279bo3bo3bo429bobo11bobo401bo11bo$280b2obob2o431b2obo7bob2o401bob
2o7b2obo$277b2obo5bob2o430b2o7b2o402b2ob2o7b2ob2o$277bo2bo5bo2bo431bo
7bo404bob3o5b3obo$276bo4bo3bo4bo429bobo5bobo403b2o2b2o3b2o2b2o$275bo3b
2o5b2o3bo427bo3bo3bo3bo403bob2o5b2obo$275bo2bobo5bobo2bo427bo2bo5bo2bo 404b2o7b2o$279bobo3bobo431bo2b2o3b2o2bo404bo9bo$275bo2b2o2bobo2b2o2bo 427b2ob2o3b2ob2o402bo13bo$275bob3obo3bob3obo428bo9bo403b3o9b3o$276b3o 9b3o428bo11bo409bo$277b3o7b3o427bobo11bobo401bo4bobo4bo$277bo11bo426b 2obo2bo5bo2bob2o399b2o3bo3bo3b2o$278b2o7b2o426bobo15bobo398bo5b3o5bo$278b2o7b2o425bo6b2o5b2o6bo394b2o8bo8b2o$279bo7bo427b2obobo2bo3bo2bobob
2o395bo4b2o2bobo2b2o4bo$278b2o7b2o427bobobobo5bobobobo396b2o3bo3bobo3b o3b2o$277bobo7bobo428b3o9b3o397b5ob2o7b2ob5o$278bo9bo428bobo11bobo405b 2ob2o$280b3ob3o429bo3bo9bo3bo397bo4bo7bo4bo$281b2ob2o430bo4bo7bo4bo 398bo5bo3bo5bo$722bo5bo405bo4b5o4bo$281bobobo430b3o2bo7bo2b3o401bo3bob o3bo$281b5o435bo7bo409b2ob2o$282b3o436bobo3bobo$278b2o7b2o430bobob2ob
2obobo$276b2obo7bob2o421b4o3bo4bobo4bo3b4o$276b2ob2o5b2ob2o420bo2b2o6b
2o3b2o6b2o2bo$275b2o13b2o426bo4bo3bo4bo$711b2obobob2o11b2obobob2o$277b 3o7b3o423bo23bo$276b4o7b4o424b4obo9bob4o$275b2o2bo7bo2b2o425bo2bo9bo2b o$275bob2o9b2obo427bo11bo$275bobob2o5b2obobo423bobo15bobo$276bo4b2ob2o
4bo422b2o21b2o$277b2o2b2ob2o2b2o$713bobo19bobo$278b2ob5ob2o423bo2bo19b o2bo$281bobobo428b2o19b2o$278b2o7b2o425b2o19b2o$279bo7bo426b2o19b2o$712bob2o4b3o5b3o4b2obo$714b2o3bo2bo5bo2bo3b2o$276b3o9b3o423b2o3bo11bo 3b2o$276b3o9b3o422b3o3b2o2bo3bo2b2o3b3o$280bo5bo428bo4bo9bo4bo$277b4o
5b4o425bo5b2o5b2o5bo$277b4o5b4o425b2o3bo9bo3b2o352b3o5b3o$714b2o3b2o9b
2o3b2o351bobo5bobo$282bobo431bo2b3o7b3o2bo353bobo5bobo$276b2o11b2o423b
3o7b3o7b3o349bob2o3bo3b2obo$275b3o3bo3bo3b3o422b3o7b3o7b3o349b2o4bobo 4b2o$276b2o11b2o422bo10bobo10bo352b2obob2o$276b2o11b2o422bo3b5o7b5o3bo 351bo7bo$274bobo4b5o4bobo426b3o3bo3b3o357bobo3bobo$274b2o15b2o420bo2bo 2bo3b5o3bo2bo2bo347b5o7b5o$276bo3b2o3b2o3bo422bobo6b7o6bobo346bo2bo11b
o2bo$274b3o13b3o431bobo358bob3o7b3obo$272b2obob2ob3ob3ob2obob2o426bo3b
o3bo357bob2o5b2obo$272b2o2b2obo2bobo2bob2o2b2o426bo3bo3bo356b2obobo3bo bob2o$273bo2bo4bo3bo4bo2bo428b2obob2o357b3obo5bob3o$276bo3b2o3b2o3bo 428b2obo5bob2o$276b2ob2o5b2ob2o428bo2bo5bo2bo358b2o3b2o$278bo9bo429bo 4bo3bo4bo359bobo$283bo433bo3b2o5b2o3bo355bo7bo$282b3o432bo2bobo5bobo2b o355b2o5b2o$282bobo436bobo3bobo356b2o11b2o$717bo2b2o2bobo2b2o2bo350bob 2o11b2obo$717bob3obo3bob3obo350b2o2b2o7b2o2b2o$718b3o9b3o351bo2bo2bo5b o2bo2bo$719b3o7b3o353bo4bo5bo4bo$719bo11bo353bo2bo2bo3bo2bo2bo$720b2o
7b2o351bo5bo9bo5bo$720b2o7b2o352bobo15bobo$721bo7bo357bo11bo$720b2o7b 2o352bo3bobo7bobo3bo$719bobo7bobo351bo2bo3bo5bo3bo2bo$720bo9bo353b2o2b 2o7b2o2b2o$722b3ob3o359bo9bo$723b2ob2o$1088b5ob5o$723bobobo353bo6b2ob 2ob2ob2o6bo$723b5o352b3o7bo5bo7b3o$724b3o353bo2b2o5bo5bo5b2o2bo$720b2o
7b2o351bo3b5o5b5o3bo$718b2obo7bob2o354bob2o5b2obo$718b2ob2o5b2ob2o348b
o3bo15bo3bo$717b2o13b2o347bob2o2bo11bo2b2obo$1081bob4o13b4obo$719b3o7b 3o352bo17bo$718b4o7b4o$717b2o2bo7bo2b2o348bo21bo$717bob2o9b2obo347bobo
19bobo$717bobob2o5b2obobo346bo25bo$718bo4b2ob2o4bo347bo3bo17bo3bo$719b 2o2b2ob2o2b2o353bo15bo$1080b2o23b2o$720b2ob5ob2o351bo3bo2bo7bo2bo3bo$
723bobobo354bo3bobobo5bobobo3bo$720b2o7b2o351bo5bob2o3b2obo5bo$721bo7b
o352bo3b2obo7bob2o3bo$1086b2o11b2o$1084bo17bo$718b3o9b3o350bo19bo$718b
3o9b3o350bo4bo9bo4bo$722bo5bo353b2o3b2o9b2o3b2o$719b4o5b4o350b2o3bobo
7bobo3b2o$719b4o5b4o350b2o3b2o3b3o3b2o3b2o$1082b3o2b3obo3bob3o2b3o$724bobo359bob2obo3bob2obo$718b2o11b2o349b2o3b2obo5bob2o3b2o$717b3o3bo 3bo3b3o349bob2o3bobobobo3b2obo$718b2o11b2o358bobobo$718b2o11b2o355bo9b o$716bobo4b5o4bobo353b3o5b3o$716b2o15b2o355b2obob2o$718bo3b2o3b2o3bo
357b7o$716b3o13b3o353b3o5b3o$714b2obob2ob3ob3ob2obob2o350b2obobobobob
2o$714b2o2b2obo2bobo2bob2o2b2o349bo3bo5bo3bo$715bo2bo4bo3bo4bo2bo355b
2ob2o$718bo3b2o3b2o3bo352bo2bobobobobobo2bo$718b2ob2o5b2ob2o353b4o7b4o
$720bo9bo358bo7bo$725bo363bo7bo$724b3o359b2obo2bobo2bob2o$724bobo$1089b2o5b2o3$1089bo7bo$1089b3o3b3o$1088bo2bo3bo2bo$1089bo7bo$1088bo2bo
3bo2bo$1091b2ob2o$1092bobo$1090bobobobo$1089bo3bo3bo$1089bo7bo$1092bob
o$1087b2obo5bob2o$1087b2o2bo3bo2b2o$1087bo11bo$1088bo9bo$1086bobo9bobo$1085b4o9b4o$1085b2obobo5bobob2o$1084bo2bo11bo2bo$1089bobo3bobo$1088b
2obo3bob2o$1084bo2bo3b2ob2o3bo2bo$1089bo2bobo2bo$1086bo2bob2ob2obo2bo$
1087bobobobobobobo$1088b2o2bobo2b2o$1089bobo3bobo$1090b2o3b2o$1087b2o
9b2o$1087b3o7b3o$1087bobo7bobo$1085b2o2bo7bo2b2o$1085b2o13b2o$1091bo3b o$1086bo4bo3bo4bo$1086b2o3bo3bo3b2o$1087bo2bo5bo2bo$1087b3o7b3o$1086bo
bo9bobo$1086b2o11b2o$1086bobo4bo4bobo$1086b2o4b3o4b2o$1086b2o3bo3bo3b
2o$1085b3o4b3o4b3o$1083b2o17b2o$1082bo5b2o2bobo2b2o5bo2$1082bo2bob3ob
2ob2ob3obo2bo$1088b3o5b3o$1090b3ob3o$1085bo4b2obob2o4bo$1091bo3bo2$1091b2ob2o! Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) : 965808 is period 336 (max = 207085118608). muzik Posts: 3500 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: Spaceship Discussion Thread that recovery though, that's determination right there folks Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! Sokwe Moderator Posts: 1480 Joined: July 9th, 2009, 2:44 pm ### Re: Spaceship Discussion Thread AbhpzTa wrote:here's a p48664 3c/7 puffer Great work! A for awesome wrote:A somewhat edge-spark-y 62-cell c/4 diagonal This can pull a small well-known tagalong to give a 69-cell ship: Code: Select all x = 15, y = 30, rule = B3/S23 2obo$o3bo$o4bo$2b2o$4bobo2$6b2o$7bo2bo2$6b2o2bo$6bo2$2bo4b3o$b2o$bobo
2b2o$5b5o$4bo5bo$6bo3bo$5bo$5b2obo$6bo$5b2o$6b2o4b2o$7bo4bobo$3o4b3o2b
o$o5bo4b2o$bo4bo$3b2o$4bo\$4bo!
-Matthias Merzenich