Thread for Your Accidental Discoveries that Aren't in CGOL

[b-engine]

Please do not multipost. All four posts could be merged into a single post (and many small patterns could be merged into a larger collection), as far as I see nothing in them is noteworthy enough to warrant a new post. If there is something hidden beyond what's explained, then, well, it is left unexplained.

Although they're about the same rule, they cover different topics within. If they're merged into a post, that would be practically difficult to quote just a part of it - some of the codeboxes contain large RLEs.



EDIT:
(1001th post?)
The sparks from the c/6 could perturb or even delete anything that collides it from backward:

Code: Select all

x = 140, y = 82, rule = B3aijn6ac/S3ai4ak5i6-in78
11b2o28b2o28b2o27b2o27b2o$10b4o26b4o26b4o25b4o25b4o$10b4o26b4o26b4o25b
4o25b4o$10b4o26b4o26b4o25b4o25b4o$10b4o26b4o26b4o25b4o25b4o24$6bo3b4o
3bo21b3ob3o22b3ob3o22b3ob3o22b3ob3o$5b4ob4ob4o17bob4ob4obo16bob4ob4ob
o16bob4ob4obo16bob4ob4obo$5b3o2b4o2b3o16b3ob3ob3ob3o14b3ob3ob3ob3o14b
3ob3ob3ob3o14b3ob3ob3ob3o$5b14o16b4o7b4o14b4o7b4o14b4o7b4o14b4o7b4o$5b
14o16b2o11b2o14b2o11b2o14b2o11b2o14b2o11b2o$4b16o13b6o3bo3b6o10b6o3bo
3b6o10b6o3bo3b6o10b6o3bo3b6o$2bo2b14o2bo11b7ob3ob7o10b7ob3ob7o10b7ob3o
b7o10b7ob3ob7o$b3o2bob8obo2b3o10b7ob3ob7o10b7ob3ob7o10b7ob3ob7o10b7ob
3ob7o$b4o4b6o4b4o9bob6ob3ob6obo8bob6ob3ob6obo8bob6ob3ob6obo8bob6ob3ob
6obo$b3o4b8o4b3o11b6ob3ob6o12b6ob3ob6o12b6ob3ob6o12b6ob3ob6o$2bo7b4o7b
o13b5ob3ob5o14b5ob3ob5o14b5ob3ob5o14b5ob3ob5o$10b4o21b5ob3ob5o14b5ob3o
b5o14b5ob3ob5o14b5ob3ob5o$10b4o19bob5ob3ob5obo10bob5ob3ob5obo10bob5ob
3ob5obo10bob5ob3ob5obo$ob7o6b7obo8bob6ob3ob6obo8bob6ob3ob6obo8bob6ob3o
b6obo8bob6ob3ob6obo$b8o6b8o9b8ob3ob8o8b8ob3ob8o8b8ob3ob8o8b8ob3ob8o$b
9o4b9o10b6o2b3o2b6o10b6o2b3o2b6o10b6o2b3o2b6o10b6o2b3o2b6o$b7o8b7o10b
5obob3obob5o10b5obob3obob5o10b5obob3obob5o10b5obob3obob5o$3b5o8b5o12b
ob3o3b3o3b3obo10bob3o3b3o3b3obo10bob3o3b3o3b3obo10bob3o3b3o3b3obo$3b7o
4b7o14b5ob3ob5o14b5ob3ob5o14b5ob3ob5o14b5ob3ob5o$5b14o16bobo2b5o2bobo
14bobo2b5o2bobo14bobo2b5o2bobo14bobo2b5o2bobo$4bob12obo15bo6bo6bo14bo
6bo6bo14bo6bo6bo14bo6bo6bo$6b12o$9b6o$10b4o55b5o24b5o24b5o$10b4o55b5o
24b5o24b5o$66b11o18b11o18b11o$11b2o53b11o18b11o18b11o$65b13o16b13o16b
13o$64bob11obo14bob11obo14bob11obo$66b11o18b11o18b11o$67b9o20b9o20b9o
$67b9o20b9o20b9o$66b11o18b11o18b11o$65bob9obo16bob9obo16bob9obo$67b9o
20b9o20b9o$68b7o22b7o22b7o$68b7o22b7o22b7o$68bob3obo22bob3obo22bob3ob
o$70b3o26b3o26b3o$69b4o26b3o26b3o$70b4o24b5o24b5o$68b6o23b6o23b6o$67b
5obo22b5obo22b5obo$67bob3o25b4o25b4o$69b4o24b5o24b4o$68b4o26b3o25b2o$
70b4o25b4o25bo$70b5o24b5o$70b3obo24b3obo$68b5o24b5o$68b6o23b6o$68b4o25b
4o$67bob2obo23bob2obo$67bo33bo!

[confocaloid]

Although they're about the same rule, they cover different topics within. If they're merged into a post, that would be practically difficult to quote just a part of it - some of the codeboxes contain large RLEs.

As far as I see, three posts are all about the exact same topic (same CA), and all four posts are fairly minor "work in progress" stuff. Small code snippets for separate objects can and should be replaced by larger pattern collections. Then there would be only few code snippets to post, hopefully with longer human-readable text explanations. Everything would fit into a single post.

The problem with some people failing to follow the forum rule 3d ("Quoting earlier posts is fine (and encouraged), but only quote text that is actually relevant to your post. Do not nest quotes too deeply (e.g., do not quote a quote of a quote of a quote).") is a separate problem.
If someone quotes a big pattern collection posted earlier by someone else, only to add a single-line reply, then that cannot be blamed on the author of the pattern collection.

[b-engine]

EDIT:
(1001th post?)
The sparks from the c/6 could perturb or even delete anything that collides it from backward:

Works the same for the c/5:

Code: Select all

x = 24, y = 54, rule = B3aijn6ac/S3ai4ak5i6-in78
6bo3b4o3bo$5b4ob4ob4o$5b3o2b4o2b3o$5b14o$5b14o$4b16o$2bo2b14o2bo$b3o2b
ob8obo2b3o$b4o4b6o4b4o$b3o4b8o4b3o$2bo7b4o7bo$10b4o$10b4o$ob7o6b7obo$
b8o6b8o$b9o4b9o$b7o8b7o$3b5o8b5o$3b7o4b7o$5b14o$4bob12obo$6b12o$9b6o$
10b4o$10b4o2$11b2o7$9b3ob3o$6bob4ob4obo$5b3ob3ob3ob3o$5b4o7b4o$5b2o11b
2o$3b6o3bo3b6o$3b7ob3ob7o$3b7ob3ob7o$2bob6ob3ob6obo$4b6ob3ob6o$5b5ob3o
b5o$5b5ob3ob5o$3bob5ob3ob5obo$2bob6ob3ob6obo$2b8ob3ob8o$3b6o2b3o2b6o$
3b5obob3obob5o$3bob3o3b3o3b3obo$5b5ob3ob5o$5bobo2b5o2bobo$5bo6bo6bo!
 

The c/4 orthogonal spaceships are the fastest known objects in the rule, therefore the sparks cannot been proven to have ability to perturb objects till now. Can someone find a faster spaceship or prove c/4 as fastest possible speed?


-

As far as I see, three posts are all about the exact same topic (same CA), and all four posts are fairly minor "work in progress" stuff. Small code snippets for separate objects can and should be replaced by larger pattern collections. Then there would be only few code snippets to post, hopefully with longer human-readable text explanations. Everything would fit into a single post.

Merging every patterns into a single collection would make it tedious or even impossible just to quote a pattern inside; splitting them would be much easier to do so.
I don't count the subtopics in a CA as "exactly same". The first post is about the initial discovery of the rule, the second one is about some discoveries from C1 census of Catagolue, while the third one is about wickstretchers and spaceships.

[confocaloid]

Merging every patterns into a single collection would make it tedious or even impossible just to quote a pattern inside; splitting them would be much easier to do so.

Regardless whether you use Golly or LifeViewer, it is fairly easy to select and copy part of a pattern if you want to say something important about that specific part. In most cases, however, it is better to either embed that part (component?) into a new pattern and post and describe the new pattern, or else avoid posting/quoting any RLE at all and instead just write your comments in plain text, referring to an object via its properties and names/labels which previously appeared in the description of the earlier pattern collection.

Long chains of short RLEs are annoying, they need to be replaced by fewer larger pattern collections with sufficiently detailed human-readable descriptions of what sort of reactions or objects is inside. Readers shouldn't have to scroll through walls of short RLEs. This disrupts the forum threads.

[PiSpaceships]

[post deleted due to being uninteresting]

[confocaloid]

Can you explain in more details why you consider this puffer interesting?

I don't see anything particularly unusual about it. It is not very clean (many blinkers), it moves orthogonally (many puffers do so), it doesn't appear to feature any unusual sparks or immediately visible "gimmicks" or anything. Puffers are really common, without an additional explanation it is hard to understand what could make this one more interesting than any other typical puffer.

An interesting puffer I found:

edit: for the record, here is the puffer that was posted. I formatted it a bit using LifeViewer scripting commands.
It is a period-48 orthogonal c/2 puffer leaving ten blinkers per cycle:

Code: Select all

x = 94, y = 19, rule = B2e3i4a/S2-a34a5a
4bo23bo23bo11bo$4bo23bo23bo11bo$o3bo3bo3bo11bo3bo3bo3bo11bo3bo3bo3bo3b
o3bo3bo3bo7bo$o7bo3bo11bo7bo3bo11bo7bo3bo7bo3bo3bo3bo3bo3bo$o7bo3bo11b
o7bo3bo11bo7bo3bo7bo3bo3bo2bobo2bo2bobo2$83bobo$34bo41bo5b2ob2o5bo$3bo
15bo7bo6bo8bo9bo8bo12bobo4b2ob2o4bobo$3bo15bo7bo15bo9bo8bo12b3o4b2ob2o
4b3o$3bo15bo7bo6bo8bo9bo8bo12bobo4b2ob2o4bobo$34bo41bo5b2ob2o5bo$83bob
o2$o7bo3bo11bo7bo3bo11bo7bo3bo7bo3bo3bo2bobo2bo2bobo$o7bo3bo11bo7bo3bo
11bo7bo3bo7bo3bo3bo3bo3bo3bo$o3bo3bo3bo11bo3bo3bo3bo11bo3bo3bo3bo3bo3b
o3bo3bo7bo$4bo23bo23bo11bo$4bo23bo23bo11bo!
#C [[ GRID THEME MCell TRACKLOOP 48 24/48 0/48 ]]

[b-engine]

A 20c/60 spaceship in a rule which 22c/44 spaceships are much more common:

Code: Select all

x = 5, y = 6, rule = B2i3-cnqy4e5ckr6in7c/S2-i3-ay4einrtyz5cejn6cin78
2bo$b3o$3b2o$2o2bo$ob2o$2bo!

EDIT:
7c/17:

Code: Select all

x = 4, y = 5, rule = B2i3-cnqy4e5cjkr6an7c/S2-i3-ay4einrtyz5cejn6cin78
3bo$4o$o$4o$3bo!

[confocaloid]

(2,1)c/11:

Code: Select all

x = 3, y = 3, rule = B3-y6ac/S23-ckq5cy
bo$b2o$2o!

That p11 knightship can coexist with lepa (the p8 knightship from B2n3/S23-q, LeapLife) and with the four "standard spaceships" (glider, LWSS, MWSS, HWSS from B3/S23, Conway's Life) in a two-state isotropic self-complementary cellular automaton that can be defined using a range-3 weighted neighbourhood:

Code: Select all

#C [[ THEME MCell ]]
x = 275, y = 133, rule = R3,C0,S0-4,7-39,41-59,61-79,81-90,92-129,132-150,152-164,167-184,188-189,191-210,212-249,251-254,257-274,277-289,292-294,296-305,307-309,312-314,317-320,322-329,331-339,341-376,378-379,382-399,402-434,437-440,442-464,466-470,472-499,502-505,507-524,527-559,563-565,567-584,586-594,596-620,622-649,652-684,686,688-691,693-714,716-720,722-811,813-815,818-834,836-960,962-1691,1694-1711,1713-1816,1820-1941,1943,1945-1961,1965-2067,2070-2086,2090-2191,2195-2198,2200-2211,2215-2316,2320-2337,2340-2428,2430-2442,2445-2462,2465-2482,2485-2533,2535-2567,2570-2587,2589-2624,B36,55-56,90,140-141,160-161,180-181,195,285-286,305-307,410-412,425,430-432,535-537,555-556,660-662,680,682,805-807,912,931-932,1663,1789,1807-1808,1812,1903,1909,1932,1937,1939,1973-1974,2003,2029,2039,2058,2062-2064,2098-2099,2118,2123-2124,2153,2159,2183,2188-2189,2223-2224,2243-2244,2247,2284,2294,2303,2308-2309,2313-2314,2318,2329,2333-2334,2348-2349,2368-2369,2374,2413,2434,2437-2439,2458-2459,2473,2493-2494,2533,2544,2564,2584,2618-2619,NW007D007D007D007D017D007D017D007D1905197D007D00050005007D007D1905197D007D017D007D017D007D007D007D00
28b143o$26b147o$26b149o$25b152o$25b154o$24b157o$24b159o$23b162o$23b
164o$22b167o$22b169o$21b172o$21b174o$20b177o$20b179o$19b182o$19b184o$
18b75o2b18o2b18o2b18ob51o$18b75o2b17obob17obob17obob52o$17b96ob18o2b
19ob55o$17b192o$16b192o$16b192o$15b192o$15b192o$14b24o2b166o$14b24o4b
164o$13b24o7b161o$13b24o9b159o$12b24o12b156o$12b24o14b154o$11b24o17b
151o$11b24o19b149o$10b24o22b146o$10b24o24b144o$9b24o27b141o$9b24o29b
139o$8b24o32b29o2b57ob47o$8b24o34b27o2b17o3b17o3b18o2b45o$7b24o35b25o
2b38o3b17o2b46o$7b24o34b26o2b60ob45o$6b24o35b133o$6b24o34b134o$5b24o
35b133o$5b24o34b134o$4b24o35b133o$4b24o34b134o$3b24o35b133o$3b24o34b
134o$2b24o35b133o$2b24o34b134o$b24o35b133o$b24o34b31o2b19ob81o$27o32b
29ob4ob15ob3ob16ob2ob58o$29o29b36ob19ob19ob18ob38o$2b29o27b30ob5ob14ob
4ob15ob3ob19ob36o$4b29o24b32o6b15o5b16o4b17o3b36o$6b29o22b133o$8b29o
19b134o$10b29o17b133o$12b29o14b134o$14b29o12b133o$16b29o9b134o$18b29o
7b133o$20b29o4b134o$22b29o2b133o$24b162o$26b159o$28b157o$30b154o$32b
152o$34b149o$36b147o$38b86ob57o58bo28b2o$40b53ob29o2b57o56bo2b2o25b2o$
42b51o2b25o2b2ob56o57b2o29bo$44b48o2b28ob58o57bo$46b134o$48b132o$50b
129o$52b127o$54b124o$56b122o$58b119o$60b117o$62b114o$64b112o$66b109o$
68b107o$70b104o$72b102o$74b99o$76b97o$78b94o36b3o17b4o16b5o15b6o$80b
92o36bo19bo3bo15bo4bo14bo5bo$82b89o38bo18bo19bo19bo$84b87o58bo2bo16bo
3bo15bo4bo$86b84o81bo19b2o$88b82o$90b79o$92b77o$94b74o$96b72o$98b69o$
100b67o$102b64o$104b62o$106b59o$108b57o$110b54o45bo60b2o$112b52o46b2o
17b3o38b2o$114b49o45b2o18b3o17b3o17b2o$116b47o47bo57b2o$118b44o$120b
42o$122b39o$124b37o$126b34o$128b32o$130b29o$132b27o$134b24o$136b22o$
138b19o$140b17o$142b14o$144b12o$146b9o$148b7o$150b4o$152b2o55bo19b2o
18bo$208bobo17bobo17bobo17b2o$209bo18b2o18b2o18b2o!

Weights of neighbours (hexadecimal, '19' is 25, '7D' is 125):

Code: Select all

-- 7D -- 7D -- 7D --
7D 01 7D -- 7D 01 7D
-- 7D 19 05 19 7D --
7D -- 05 -- 05 -- 7D
-- 7D 19 05 19 7D --
7D 01 7D -- 7D 01 7D
-- 7D -- 7D -- 7D --

[confocaloid]

This two-state isotropic cellular automaton is not self-complementary (which can be seen below; for example, the black/white reversal of a glider+block collision fails to evolve "in essentially the same way" as the glider+block collision).

However, this CA "supports" both the p148 version of a known p111 oscillator in CGoL (three circulating pulses in the p148 version, instead of four pulses in the p111 version; Catagolue link) and the black/white reversal of the oscillator:

Code: Select all

x = 147, y = 89, rule = R3,C0,S192,202,207,222,238-239,250-499,558-559,563-564,566-569,571-575,577-579,581-584,586-589,591-594,596-599,601-604,607-609,612-614,617-619,622-624,682,809,812-814,816-818,821-824,826-829,831-834,836-844,846-849,851-854,856-859,861-864,867-869,872-874,927,933,937-939,942-944,947-949,951-954,956-964,966-969,971-974,976-979,981-984,987-989,992-994,997-999,1057-1058,1061-1063,1066-1069,1071-1074,1076-1079,1081-1084,1086-1089,1091-1094,1096-1099,1101-1104,1106-1109,1111-1114,1117-1119,1122-1124,B89,97-98,208,214,217-219,222-224,228-229,234,238-239,316,318,327-329,331-333,337-339,342-344,347-349,352-354,357-359,364,369,374-499,562-564,567-569,571-574,577-579,581-584,586-589,591-594,596-599,601-604,607-609,611-614,617-619,623-624,928,938,941,946,948-949,952-954,956-959,961-964,966-969,972-974,976-979,981-984,986-989,992-994,998-999,1071,1083,1087,1089,1092-1094,1096-1099,1102-1104,1107-1109,1113-1114,1119,NW050505050505050501000000010505007D7D7D000505007D007D000505007D7D7D00050501000000010505050505050505
2b2obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobob2o$bob75obo$o2b75o2bo$81o$b79o$81o$b79o$81o$b79o$81o$b40o2b37o
42b2o$28ob7o2b2obob38o28bo7b2o2bobo$b22o2b3o3b5ob3ob4ob9ob24o24b2o3b3o
5bo3bo4bo9bo$23o2b6ob5o3bo5b8obob24o23b2o6bo5b3ob5o8bobo$b29o2b7obob
11obob2ob21o31b2o7bobo11bobo2bo$39obobo3b5o3b2o2bob21o39bobob3o5b3o2b
2obo$b21o2b16o2bob2ob3ob3o2b3ob2o2b16o23b2o16b2obo2bo3bo3b2o3bo2b2o$
21ob2ob20o2b4o3b2o3b3o2b17o21bo2bo20b2o4b3o2b3o3b2o$b21obob28obob24o
23bobo28bobo$20obobobob27obob24o20bobobobo27bobo$b18obobobobob27ob24o
20bobobobobo27bo$20ob2ob2ob14o2b20o2b16o20bo2bo2bo14b2o20b2o$b20o2bo2b
14ob2ob19ob16o22b2ob2o14bo2bo19bo$22obob15ob2ob17obob17o22bobo15bo2bo
17bobo$b21obob8ob7o2b18o2b17o23bobo8bo7b2o18b2o$23ob8obob46o23bo8bobo$
b31obob17o2b26o33bobo17b2o$33ob17o2b28o33bo17b2o$b44ob2ob3ob2o2b23o46b
o2bo3bo2b2o$23o2b18o3b2o3b2o2bob6o2b16o23b2o18b3o2b3o2b2obo6b2o$b18o2b
obob20ob2ob4ob2ob5obob15o20b2obobo20bo2bo4bo2bo5bobo$20obob30ob8ob18o
20bobo30bo8bo$b19obo2b28o3b5o3b17o21bob2o28b3o5b3o$17o2bob30o5b3ob3o2b
16o17b2obo30b5o3bo3b2o$b16ob2o4b28o2bob3o4b2ob14o18bo2b4o28b2obo3b4o2b
o$18o2b3ob6o3b20o2b7obo2b15o18b2o3bo6b3o20b2o7bob2o$b19o3b5o2b29o2bob
17o21b3o5b2o29b2obo$20ob7o2bo2b27obob18o20bo7b2ob2o27bobo$b17obob7o2b
2ob25obobo2b16o19bobo7b2o2bo25bobob2o$18o2b11ob26o2b21o18b2o11bo26b2o$
b30o2b47o32b2o$32obob46o32bobo$b31obob45o33bobo$33ob25ob21o33bo25bo$b
19o2b36obob19o21b2o36bobo$19obob28o2b6obob20o19bobo28b2o6bobo$b18ob29o
b2ob4o2bo2b18o20bo29bo2bo4b2ob2o$18o2b30o3b3ob2ob2ob18o18b2o30b3o3bo2b
o2bo$b26ob27obobobobob16o28bo27bobobobobo$26obob27obobobob18o26bobo27b
obobobo$b26obob28obob19o28bobo28bobo$19o2b3o3b2o3b4o2b20ob2ob19o19b2o
3b3o2b3o4b2o20bo2bo$b18o2b2ob3o2b3ob3ob2obo2b16o2b19o20b2o2bo3b2o3bo3b
o2bob2o16b2o$23obo2b2o3b5o3bobob37o23bob2o2b3o5b3obobo$b23ob2obob11obo
b7o2b27o25bo2bobo11bobo7b2o$26obob8o5bo3b5ob6o2b21o26bobo8b5ob3o5bo6b
2o$b26ob9ob4ob3ob5o3b3o2b20o28bo9bo4bo3bo5b3o3b2o$40obob2o2b7ob26o40bo
bo2b2o7bo$b39o2b38o41b2o$81o$b79o$81o$b79o$81o$b79o$81o$b17ob61o19bo$
19ob61o19bo$b16o3b60o18b3o$81o$b79o$81o$b58o2b19o60b2o$58ob2ob19o58bo
2bo$b58o3b18o60b3o$28o2b51o28b2o$b27o2b50o29b2o$81o$b79o$81o$b79o$81o$
b79o$81o$b79o$81o$o2b75o2bo$bob75obo$2b2obobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobob2o!

This CA is isotropic, non-totalistic, defined using the following weighted neighbourhood (subset of range-3 Moore neighbourhood), the weights are in hexadecimal:

Code: Select all

05 05 05 05 05 05 05
05 01 -- -- -- 01 05
05 -- 7D 7D 7D -- 05
05 -- 7D -- 7D -- 05
05 -- 7D 7D 7D -- 05
05 01 -- -- -- 01 05
05 05 05 05 05 05 05

[b-engine]

P544 RRO:

Code: Select all

x = 4, y = 4, rule = B2i3-ck4n5cjn6cin/S2-n35jq
b2o$3o$o2bo$b2o!

Sadly the rule is explosive.

[confocaloid]

[...] Sadly the rule is explosive.

It may be possible to capture the oscillator with range-4 weighted neighbourhood, but I'm not sure if there is a Golly-compatible way.

I think fully-symmetric range-3 weighted neighbourhood will not work (due to contradictions in the set of necessary rules).

[b-engine]

2c/14d "R-spaceship" and p284 rotating oscillator and c/9 "bi-glider":

Code: Select all

x = 25, y = 6, rule = B3-ceky4r5qy/S23-k4n6k
3o6b3o10bo$2bo9bo10b2o$b2o7b2o10b2o$19bobo$20b2o$20bo!

(Please pin this thread pin this thread pin this thread)

[confocaloid]

2c/14d "R-spaceship" and p284 rotating oscillator and c/9 "bi-glider":

Code: Select all

x = 25, y = 6, rule = B3-ceky4r5qy/S23-k4n6k
3o6b3o10bo$2bo9bo10b2o$b2o7b2o10b2o$19bobo$20b2o$20bo!

Lost the p284, but added four spaceships from Conway's Life, some variant of this CA is likely to be interesting (for many different definitions of interesting):

Code: Select all

#C Two-state isotropic cellular automaton, defined using
#C a fully-symmetric weighted neighbourhood (the weights
#C are given in hexadecimal, '19' means 25, '7D' means 125):
#C 01 7D 7D 7D 01
#C 7D 05 19 05 7D
#C 7D 19 -- 19 7D
#C 7D 05 19 05 7D
#C 01 7D 7D 7D 01
x = 167, y = 58, rule = R2,C0,S10-19,30-39,50-59,75-79,135-144,155-165,175-184,200-204,260-269,280-289,291,300-309,325-329,385-394,405-414,425-429,431-434,450-454,465,510-519,530-539,541,550-559,575-579,635-644,655-664,675-679,681-684,700-704,760-769,780-789,800-809,825-829,885-894,905-914,925-934,950-954,1010-1019,1030-1039,1050-1059,1075-1079,1135-1144,1155-1164,1175-1184,1200-1204,1260-1269,1280-1289,1300-1309,1325-1329,1385-1394,1405-1414,1425-1434,1450-1454,1510-1519,1530-1539,1550-1559,1575-1579,B15-19,35-39,55-59,75-79,140-144,160-164,180-184,200-204,265-269,285-289,305-309,325-330,335-336,390-394,410-414,430-434,450-454,515-519,535-539,555-559,575-579,640-644,660-664,680-684,700-704,765-769,785-789,805-809,825-829,890-894,910-914,930-934,950-954,1015-1019,1035-1039,1055-1059,1075-1079,1140-1144,1160-1164,1180-1184,1200-1204,1265-1269,1285-1289,1305-1309,1325-1329,1390-1394,1410-1414,1430-1434,1450-1454,1515-1519,1535-1539,1555-1559,1575-1579,NW017D7D7D017D0519057D7D1900197D7D0519057D017D7D7D01
bo$2bo100bo$3o101bo45bo$57bo44b3o46bo$58bo90b3o$56b3o7$6b2o111b2o$6b2o
62b2o36b2o9b2o44b2o$70b2o36b2o45b2o8b2o$62b2o91b2o$62b2o2$17b2o$17b2o
19$104b2o14bo$102bo4bo10bo3bo11bo2bo25bo$108bo14bo14bo25bo$102bo5bo9bo
4bo10bo3bo23b3o$103b6o10b5o11b4o11$111b2o38bobo$109bo43bo$109bobo37bo
2b2o$110b3o38bo$149b3o!
#C [[ GRID THEME Fire ]]

[H. H. P. M. P. Cole]

A block-pushing spaceship with an unusual direction and speed:

Code: Select all

x = 10, y = 7, rule = 23578/3568/4
2.A5.2A$CB2A4.2A$2.C.A$2.4A$C2B.A$.BAB$.3A!

Amusingly, if the block is deleted, the ship turns 90 degrees.

This rule has very few oscillators (only a p4 beacon and p6 variants so far) and spaceships (just the knightship occurs naturally so far).

I have not found infinite growth yet either, maybe someone else can.

In the same rule, three p12s:

Code: Select all

x = 35, y = 10, rule = 23578/3568/4
17.BC2A9.2ACB$16.2AC2A9.2AC2A$17.BC2A9.2ACB$.C.2A3.2A13.5A$2B.3A.2A.A
13.3A$.C.2A3.2A14.3A$23.5A$17.BC2A9.2ACB$16.2AC2A9.2AC2A$17.BC2A9.2AC
B3$2.2A$3.A3.2A.C$A5.3A.2B$2A5.2A.C3$2.A$.3A$.3A2$.CBC$2.B!

Another p4 which seems to be made out of two tables:

Code: Select all

x = 6, y = 4, rule = 23578/3568/4
2o2b2o$bo2bo$bo2bo$2o2b2o!

EDIT: p13

Code: Select all

x = 18, y = 18, rule = 23578/3568/4
6.2A2.2A$5.CA4CAC$5.C.4A.C$3.C4.2A4.C$4.CA6.AC$.2C.2A6.2A.2C$2A14.2A$
ACA12.ACA$.C2A10.2AC$.C2A10.2AC$ACA12.ACA$2A14.2A$.2C.2A6.2A.2C$4.CA6.
AC$3.C4.2A4.C$5.C.4A.C$5.CA4CAC$6.2A2.2A!

And two more spaceships, a c/2o and c/5o

Code: Select all

x = 22, y = 6, rule = 23578/3568/4
3A2.3A4.3A4.3A$3A2.3A4.10A$C2A2B2AC7.4A$.CB2.BC8.A2.A$3.2A$3.2C!

[confocaloid]

"Someone might deliberately choose a course of action, but unforeseen consequences can render the outcome accidental. For instance, a person might attempt to make a stamp collection of known interesting objects in some cellular automaton (deliberate action), but in the process, they accidentally discover other interesting objects forming due to interactions between objects in the stamp collection (accidental outcome). Here, the intention was clear, but the result was not what was anticipated."

Sometimes someone will post a stamp collection of a few objects. My idea: a script that will try different spacings and keep the one with the rarest objects (even though the objects aren't supposed to interact). [...]

Here is an unexpected slide gun (the p124 glider gun pushing biblocks at p296 diagonal 3c/74, with gliders escaping from collisions):

Code: Select all

x = 56, y = 56, rule = B2n3-cekq6i/S2-cn3-c4eqrz6i
51b2ob2o$51b2ob2o12$44b2o$44b2o2$44b2o$44b2o$24b3o$31bobob2o$27bo8b2o$
24bob2o5bobo$26b2o2$18bo2bo$18bo$18bo2b2o$20b3o20bobo$44b2o$44bo2$19bo
2$19bobo2$19bobo$19b2o$20bo6$27bo$13b2ob2o10b2o$13b2ob2o9b2o6$2o$2o2$
2o$2o!

The stamp collection (oscillators and spaceships from Catagolue censuses), run in Golly:

Code: Select all

#C oscillator periods: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 24, 68, 124.
#C spaceship periods: 4, 10, 58.
x = 1436, y = 834, rule = B2n3-cekq6i/S2-cn3-c4eqrz6i
2o10b2o11b2o10b2o11b2o11b2o12b2o12b2o$2o11bo11bo11bobo10bo12bo14bo13bo
$13b2o11bo11b2o12bo12b2o11bobo11b3o$25b2o24b2o12b2o12b2o13bo21$bo13bo
40bobo12b2o12b2ob2o12bo14bobobobo50b2o3b2o27bo12b2o2b2o11b2o2bo13b2o
14b2o2b2o11bobob2o11b2o15b2o13b2o19bo14b2o26b2o16b2o32b2o12b2o17b2o12b
2o4b2o10b2o16b2o18b2o14bo3bo15bo14bobo15b2o19b2o10b2o19bo13b2o14b2o2b
2o12b2o15bo18bo14b2o18b2o44bo11b2o14b2obobobo11b2obobobo16bo11b2o4b2o
27b2o18bo14b2ob2o11bobobobo15bo14bobo14b2o14bobobobo13b2o15bo18b2o14bo
bobob2o10b2o3bo12b2o17bobobob2o12b2o21b2o10b2o5bo14bo16b2o19bo12bo2bob
o2bo15b2o10b2o18bo14b2o14b2o4b2o$bo11b2o12b3o10b3o10b4obo12bo13bo3bo
10b3o2bo11bob3obo11b3o10b3o10b3o10bo2bo2bo11b3o13b3o10bo4bo11bo3b3o11b
o15b2o3bo11bob3o11bo2bobo11bo2bo13bo19b3o12bo13b3o11bo2bobo12bobobo11b
3o11b2o3bo12b2o17bobo11bobo2bobo11bo16bo19bo13bobo3bobo10bo2b3o10b2o2b
o15bo15bobobobo10b2o19b3o11bo3b2o10bo2bobo12bo16b3o14b3o14bo16bo3bo10b
3o4b3o10b3o11bo11bobo13b2ob3obo11b2ob3obo11b2o3bo11bo6bo10b3o11bobo2bo
bo15b3o13bob2o11bob3obo13b3o12b3ob3o13bo14bob3obo13bobo14bo4bo12bobo
14bob3ob2o10bo4bo11bo2bobobo12bob3ob2o12b2o18bo2b2o11bo5b3o12b3o14bobo
18b3o10b4ob4o11b2obobo10b2o18bo14b2o2b2o10bobo2bobo$bo13b2o39bobo11b2o
2bo11b3o11bo2b3o11bobobobo52b3o27b2o2bo12bo2b2o12b2o2bo13bobo14bo13bob
o13b2obobo11bo2b3o11b2o3bo12b2o2bo10b3o2bo23b2ob2obo11b2obobo25bobo2bo
bo13bobo11b3o2bo12bo2bo13b3obo11b2obobobo11bobo2bo10b2obobob2o10b3o2bo
12b2obo15bobo12bob3o15bobo13b2o2bo10b2o3b2o11bo14b2o2bo12b2o2bo13bo15b
obo2bo13b3o16b2o28bo13bo16bobobo14bobobo11bobo2bo13b4o26bob4obo11bob2o
2bo10bo2bo14bob3obo12bo15bo2bo2bo10bo2bob2o11bobobobo11b2o2b4o11bo4bo
12bo3b2o11bobobobo13bo2bo11b2ob3obo12bobobo13bo4bobo14b3o13b2o2b2o2bo
10b2o2bo12b2o2bo20bo14bo15b2obo15bobobo12bo17bobo12bo2bo$14bo12bobo11b
o30b3o28bo31bobo10b3o10b3o28b3o12bo15b3o15bo15b2obo13b3o16bo12bobobo
12b2o2bo14bobo13bo13bo2b3o10b3o11bo2bobo14bobo11b3o13bo3b2o12b2obo11bo
2b3o12bo2bo17bo14b3obo11b2ob3o31bo13bob2o13bobo3bo12bobobobo12b2obo14b
o16bo17bo11bo3b3o11bo4bo11bo2b3o10b2ob3o11b2o2bo15b4o13b3o10b3o12bob2o
12bo19bo17bo15bo4bo11bobo11bobo2bobo11b2obo13b4o33bob4o13bobo11b4ob2o
14bo14bo3bo16bo2bo11b2o3b2o17b2o11b2o15bobobobo18b2o10b2o2b2obo12b2o2b
o16bobo14bo2b3o10bo3b3o14b3o14bo3bo17bo13b4obo11b3o16bo12bobo2bobo$28b
o43bo13b3o13b2o32bo12bo12bo13b3o14bo13b2o16bo15b2o15bobo14bo17b2o11b2o
16bo14b2o3bo13b2o15bo13bo12b2o15b3o15bobo12b2o17bobo14bo15b2o14b3obo
14bobobo30b3o15b2o13bo2b2o11bo3bobo17b2o13bobo11bo2b2o14b3o12bobo2bo
12b2o2bo11b2o2b2o10b2obo2bo13bo14bo17bo4bo13bo12bo13bob2o12b2o17b2o17b
o15b2o2b2o12bo15b2o17b2o32bobo13b2obo2bo12b2ob2o47b3o16b2o17bo20b2o11b
2o15b2o23b2o15bobo13bo18b2ob2o13b3o2bo11b3o2bo13bo2bo14b2ob2o13b2o2bo
14bobobo12bo17bo12b2o4b2o$28bo11bobo93bo12bo11b3o28b3o10bo49b2o18bo48b
2o13bo16b2o16b2o13bo29bo17bobo28b2o17b2o31bo36b2o31bo16bobo13bobo33b2o
15b3o17bo13b2o2b2o13bo17bo15bo13b2o16b2o16b2o2b2o12b3o10b3o12bo51bobo
2bo30bo31b2o15b2o19bo17bo32b2o16bobo15bo17b2o16b3o33bo2bo51b2o17b2o37b
o16bo16bo34bo2b2o12b2o17b3o16bobo$41bo93b3o10b3o11bo28bo13b2o48b2o18bo
62b2o16b2o31bo46b3o29b2o49b2o36b2o31b2o34bo33bo17bo17bo32b2o15b2o15b2o
12b2o14bo38bo12bo11bobo51b2o3bo29b3o30b2o15b2o19bo17b2o31b2o17bo16bo
18bo2bo14bo32bo4bo51b2o15b2o39b2o15b2o12b2ob2o33b2o15b2o22bo10b2o2b2o$
41bo120bo28b2o195b3o234b2o33b2o34bo96b2o36b3o10b3o10b2o57bo30bo139bo
16bo16bo4bo14bo32b2o3bo68b2o71bo72b2ob3o10b2o$135b3o10b3o11bo273b3o
507b3o172bo4bo14bo179b2o71b2obo$388b3o440b3o10b3o100bo173bo$947bo$947b
o38$6b2o12b2o14b2o2b2o2b2o13b2o15b2o18b2o2b2o12b2o16b2o13b2obo12b2ob2o
11b2o15b2o17bobo12b2o3b2o10b2o4b2o10b2o14b2ob2o4b2ob2o16bo12b2o6b2o10b
2o3b2o18b2o18b2o18bo17b2o19b2ob2o10b2o6b2o13b2ob2o16b2o16b2o3b2o14b2o
4b2o19b2o19b2o15b2ob2ob2o12b2obo15b2o9b2o10b2ob2ob2ob2o12b2o26b2o14b2o
6b2o10b2obobobobob2o10b2o3bobo3b2o14b2o2b2o17b2o2b2o20b2o17b2ob2o2b2ob
2o15bo2bo19b2o4b2o18bo4bo14b2ob2o2b2ob2o16b2o4b2o21b2o4b2o21b2o4b2o22b
2o4b2o20b2o6b2o19b2o6b2o22bo2bo26b2o28b2o24b2o6b2o25b2o24b2o6b2o23b2o
26b2o4b2o24b2o6b2o$7bo13bo14bo8bo13bobo15bo17bobo2bobo11b2o2b2o12b2o
13b2ob3o10b2ob2o11bobob2o10bobo15b3ob3o10bobobobo10bobo2bobo11bo14b2ob
obo2bobob2o11b2ob3o12b2o6b2o10b2o3b2o18bo19b2o18b3o15b2o20bob2o10b2o6b
2o14bob2o16bo15b3obobob3o10b3obo2bob3o17b2o18bobo15b2ob2ob2o12b2ob3ob
2o10b2o9b2o10b2ob2ob2ob2o13bo3b2o21b2o14b2o6b2o10b2ob7ob2o10b2o3b3o3b
2o14bo4bo17bo4bo19bo2bo16b2obo4bob2o13b3o2b3o17bo6bo16b3o4b3o12b2obo4b
ob2o16bo2b2o2bo21bobo2bobo21bo2b2o2bo22bo2b2o2bo20b2o6b2o19b2o2b2o2b2o
20b8o20b2obo2bob2o24b2o24b2o6b2o21b2obo2bob2o20b2o6b2o22bo2bo25b2o4b2o
24b2o6b2o$5bob2o12b2o15b2o2b2o12b2obobo12b3o18bo6bo14bobo10bo21bo28bob
2o10bobob2o11bo6bo12b3o14bo2bo13bob2o14bobo2bobo14b2obo2b2o13bo2bo16bo
3b2o15b2o17b2o3bo14b2o3bo17b2o15bobo16bo2bo14b2obo18b2o15bo3b3o3bo10bo
3bo2bo3bo14b2o21b2o41bob2o13b2o3b2o37bob3o3bo16b2o19bo2bo16bobobobo16b
obobobo18b4o15b2obo4bob2o16b4o19bob2obo16bo6bo19bo2bo17bo4b2o4bo40b6o
21b2ob4ob2o21b6o24b6o80bo6bo20b2ob4ob2o53bo2bo24b2obo2bob2o52b4o28b2o$
3bobo16bo2bo11bo2b2o2bo11b2o4b2o10bo19b2obo2bob2o13bo12b2o2b2o14b2o14b
2o13bo14b2o2bo11bo2b2o15b3o13bo4bo11b2ob2o13bo2bo2bo2bo19bo11b2obo2bob
2o12b2o3b2o14bo20bo2b2o13bobo2b2o12bob2ob2o13bobob2o12b2obo2bob2o11b2o
b2o15bo3b2o17b3o17bo4bo13b2obo2b3o16b2o3bo14b3o2b3o12b4obo15b2obobob2o
15b2ob2o14bo2bo4b3o16b2o16b2obo2bob2o13bo5bo15b2o5b2o36b2obob2obob2o
13b2o6b2o15b2ob2ob2o13b2o2b4o2b2o16b6o16bo2b2o2b2o2bo11b2o2b4o2b2o73bo
8bo19b2o8b2o18b2ob4ob2o21b2o2b2o24bo2bo54b6o22b2obo2bob2o24bo2bo23b10o
19b2o6b2o22b8o22b4ob4ob4o$5bo13b2o3b2o11b2o4b2o13bobob2o12b3o18bo2bo
16b2o15bobo13bo15bobo12b2o28b2obo2bo14b3o13bo4bo29b2o6b2o13b2o3b2o11b
2obo2bob2o29bo3bo2b2o13b2o2b2o2b2o11bo2b2o2b2o10b2obo18bo15b2obo2bob2o
28bo2b2o2bo18b3o17bo4bo13b2obo5bo12b2o2bo2b2o13bo8bo11bo4bob2o15bobo
18bobobo14b2obo2b2o13b2o2bo3b2o14b2obo2bob2o13b2o3b2o36b2o2b2o2b2o2b2o
13bob2obo16b2o6b2o36bo10bo11b2o4bo2bo4b2o10b2obo6bob2o10bo2bo4bo2bo15b
2o6b2o17bob2o6b2obo17b2o6b2o18bo2bo6bo2bo13b2obobobo2bobobob2o16bo2b2o
2bo22b2o2b2o21b2o6b2o21bo6bo21b2obo2bob2o21b2o6b2o16b2obo4b2o4bob2o15b
2o6b2o21bo8bo21bo2bobo2bobo2bo$2b3o14bo2bo35bobo18bo17bo2bo16b2o15bobo
13bo15bobo12b2o31bo17b3o14bo2bo15b2o36bo21b2o14b2o3b2o12b3o2b2o2bo12b
2o2b2o2b2o10b2o2b2o2bo14bo15b3o2b2o16b2o15b2o15b3o2b2o2bo12bo3b3o3bo
10bo3bo2bo3bo13bo5bo12bobo2b2o2b2o11bo8bo10b2obo4bo15bo3bo17bobobo15bo
2b2o2bo12b2o2b2o2bo19b2o17b2o3b2o13b3o7b3o10bobobo4bobobo13bo4bo19bo2b
o18b2o4b2o12b2obo2b2o2bob2o10bo2bo8bo2bo13bo6bo16bob2obo17bobo6bobo14b
3ob2o6b2ob3o13b2o10b2o16bo2bo6bo2bo13b2ob2o3b2o3b2ob2o10b2o4b2o4b2o4b
2o11b2o2b3o2b3o2b2o12b2obobo6bobob2o17b2o4b2o16b2ob2o4b2o4b2ob2o16b2o
6b2o16b2obob2o4b2obob2o13b2o3bo2bo3b2o19b2o6b2o19b2o6b2o6b2o$o21b2o35b
2o16bobo2b2o14b2o17bo12b2o2b2o14b2o14b2o13bo14b2o2bo10b2o2bo14bobobobo
10bobo2bobo13bobo34b2o2bob2o14bo2bo13b2o3bo15bo2b2o2b3o12b2o2bo15b2o2b
obo13b2o13bo6b2o15bo2bo13bobo17bo2b2o2b3o10b3obobob3o10b3obo2bob3o12bo
5bo14b2o2b2o2bobo11b3o2b3o14bob4o15bo3bo17b2ob2o15bo2b2o2bo14b2o2b2o2b
2o15bo2bo16bo5bo14bo9bo13bo3b2o3bo15b2o2b2o14b2o2b2o2b2o2b2o12bobo4bob
o14bobo2bobo15b3o6b3o14bo3b2o3bo15bob2obo13b2o2b2o8b2o2b2o10bo16bo10b
2o2bo10bo2b2o10b2o2b2o8b2o2b2o38b2o2b2o8b2o2b2o11bo2b3o4b3o2bo12b2ob2o
8b2ob2o15b2o8b2o14b2ob2o10b2ob2o11b2ob2o10b2ob2o14bob2o4b2obo16b2o2b2o
2b2o2b2o17b2o2bo4bo2b2o17bo16bo$3o20bo55bobobo33bobo10bo21bo28bob2o10b
obob2o11bo17b2o3b2o10b2o4b2o13bobo36b3ob2o14bo2bo15b2o3b2o13b2o2bo3bo
12bo3b2o14bo3b2o14b2o13b4ob2o17bo2bo13bobo19bo2b2o2bo12b2o3b2o14b2o4b
2o14bo5bob2o13b2o2bo2b2o30b2obo21bobo39b2o2bob2o13b2o2b2o2b2o15bo2bo
16bobobobo13b3o7b3o12bo3b2o3bo15b2o2b2o13bobo10bobo11bobo4bobo14bobo2b
obo16bo8bo15bo3b2o3bo12bo2bo4bo2bo10bobo14bobo11b2o12b2o11bobo14bobo
10bobo14bobo13b2o8b2o16bobo8bobo13b2ob3o6b3ob2o43bobo2b4o2bobo44b2ob2o
10b2ob2o14bo10bo19bo2b2o2bo16b2obobo2bo4bo2bobob2o10b2obo16bob2o$2bo
20b2o56bo32b2o2b2o12b2o13b2ob3o10b2ob2o11bobob2o10bobo14b2o54b2o37bo
20b2o16b2o3b2o17bo18b2o17b3o17bo16bob2o18b2o15b2o18b2o3bo59b3o2bob2o
13bo3b2o14b2ob2ob2o11b2ob3ob2o13b2obobob2o12b2ob2ob2ob2o10b3o4bo2bo16b
o2b2o2b2o14b2o14b2ob7ob2o33bobobo4bobobo13bo4bo13bobo10bobo12b2o4b2o
12b2obo2b2o2bob2o13bo8bo16bo6bo13b2o2b4o2b2o12bo14bo14bo12bo14bo14bo
14bo14bo15bobo6bobo16bo12bo14bo14bo12b2o14b2o14bo3bo4bo3bo15b3o10b3o
47b2o8b2o14b2o2b2o2b2o2b2o2b2o11b2obo2b2o6b2o2bob2o10b2ob2o14b2ob2o$
80b2o32b2o16b2o13b2obo12b2ob2o11b2o15b2o170b2o19b2o19bo14b2obo13b2o22b
o2bo36b2o64b2o19b2o16b2ob2ob2o16bob2o14b2o3b2o13b2ob2ob2ob2o10bo3b3obo
17b2o3bo2b2o13bo2bo13b2obobobobob2o12b2o5b2o12b2o2b2o2b2o2b2o13bob2obo
14b2o2b2o2b2o2b2o34bo10bo13b3o6b3o12b2obo6bob2o33b2o14b2o13bo12bo13b2o
14b2o12b2o14b2o14bobo6bobo14bo2bo10bo2bo12bo14bo11bobo14bobo10b2obo3bo
b2obo3bob2o15bo8bo16b3o14b3o14b2o8b2o13bobo4b2o2b2o4bobo13bo14bo$265b
2ob2o98bo56bob2ob2o10b2o22bo2bo14b2ob2o17bo62b2o21bobo55b2o9b2o34b2o3b
o19b2o19bo2bo39bobobobo37b2obob2obob2o16bo2bo18b2ob2ob2o13b2o2b4o2b2o
11bo2bo8bo2bo11bo2b2o2b2o2bo11b2obo4bob2o11b2o14b2o12b2o12b2o12b2o14b
2o12b2o14b2o14b2o8b2o14bo2bo10bo2bo11b2ob3o6b3ob2o10bobo14bobo10b2obo
3bob2obo3bob2o15bo8bo15bo20bo13bo10bo13bobo4b2o2b2o4bobo12b2o14b2o15b
2o14b2o$266bob2o97b2o61b2o35b2o15b2obo17b2o62b2o21b2o56b2o9b2o39b2o18b
2o20b2o37b2o3b3o3b2o15b4o15b2obo4bob2o13b2o6b2o16bob2obo16bo6bo13b2o4b
o2bo4b2o11bo4b2o4bo11b2ob2o2b2ob2o12bo14bo12bo16bo12bo14bo14bo14bo43bo
12bo14bo2b3o4b3o2bo12b2o14b2o14bo3bo4bo3bo15b3o10b3o12bo20bo13bob2o4b
2obo14b2o2b2o2b2o2b2o2b2o13b2o14b2o15bobo12bobo$266bo160b2o58bob2o229b
2o18b2obo2bob2o33b2o3bobo3b2o14bo4bo17bo4bo16b2o6b2o13b2obo4bob2o13b3o
2b3o18b6o17b3o4b3o34bobo14bobo10b3ob2o6b2ob3o10bobo14bobo10bobo14bobo
10b2ob2o3b2o3b2ob2o13bobo8bobo14b2o2b3o2b3o2b2o44bobo2b4o2bobo44b3o14b
3o11b2obob2o4b2obob2o16bo2b2o2bo19bo14bo16bobo12bobo$265b2o160b2o57b2o
b2o229b2o18b2obo2bob2o60b2o2b2o17b2o2b2o19b4o16b2ob2o2b2ob2o15bo2bo21b
o2bo20bo4bo36b2o2b2o8b2o2b2o12bob2o6b2obo12b2o2bo10bo2b2o10b2o2b2o8b2o
2b2o10b2obobobo2bobobob2o10b2o2b2o8b2o2b2o16b2o2b2o17b2ob2o8b2ob2o15b
2o8b2o14b2ob2o10b2ob2o42b2obo4b2o4bob2o13b2o2b2o2b2o2b2o13b2obo2b2o6b
2o2bob2o13b2o14b2o$743bo2bo111bo2bo66bo6bo64bobo6bobo45b2o10b2o16bo2bo
6bo2bo17b2ob4ob2o14b2o4b2o4b2o4b2o17bo2bo18b2obobo6bobob2o17b2o4b2o16b
2ob2o4b2o4b2ob2o11b2ob2o10b2ob2o15b10o17b2o3bo2bo3b2o13b2obobo2bo4bo2b
obob2o$740b2o6b2o109b2o67b2o4b2o65b2o6b2o19b2ob4ob2o19b2o6b2o18bo2bo6b
o2bo47bo2b2o2bo21bo6bo20b2o6b2o21bo6bo21b2obo2bob2o16b2ob2o10b2ob2o44b
2o6b2o19b2o2bo4bo2b2o14b2ob2o14b2ob2o$740b2o6b2o281bobo2bobo20bo8bo19b
2o8b2o18b2o6b2o21b2o2b2o22b8o52b6o22b2obo2bob2o21b2o6b2o20b2o6b2o19b2o
6b2o21b2o6b2o16b2obo16bob2o$1003b6o22b2o4b2o22b6o24b6o21b2o6b2o51bo2bo
22b2ob4ob2o53bo2bo24b2o6b2o20b2o6b2o22b4o24bo8bo19bo16bo$1002bo2b2o2bo
50bo2b2o2bo22bo2b2o2bo49b2o2b2o2b2o48b2obo2bob2o24b2o24b2o6b2o24bo2bo
55bo2bo25b8o20b2o6b2o6b2o$1002b2o4b2o50b2o4b2o22b2o4b2o49b2o6b2o52b2o
28b2o24b2o6b2o21b2obo2bob2o53b2o29b2o25bo2bobo2bobo2bo$1296b2obo2bob2o
81b2o4b2o22b4ob4ob4o$1300b2o85b2o4b2o$1419b2o6b2o$1419b2o6b2o21$2o30bo
b2ob2obo27b2o16b2o5b2o33b2o3b2o14b2ob2o12b2o5b2o13b2ob2o16bo13b2o5b2o
68b2ob2o16b2o3b2o15b2ob2o3b2ob2o12b2o20b2o44b2ob2o15b2o27b2o50b2ob2o
43b2ob2o44b2ob2o23b2o2b2o23b2o25b2ob2o21b2o7b2o22bo2bo$bo15b3o12b2obob
ob2o10b3o14bo18bo5bo15b3o14b3obobob3o12b2ob2o12b2o5b2o13b2ob2o16b3o11b
2o5b2o14b3o14b3o17b3o14bo3bo16bo5bo15b2obo5bob2o12bo4bo15bobo23b3o19bo
b2o3bo11b2o8b2o14b2o2bo22b3o25b2obo20b3o21b2obobo21b3o19b2obo7b2o15bo
4bo23b2o26bob2o21bo9bo22b4o$b2o2bo63b3o2bo12b3ob3o32bo3b3o3bo48b2o7b2o
15bo14bobo13b2o7b2o48b3o13bo2b2obobob2o2bo16bobo16b2ob2ob3o13bob2o44bo
4b3o16bo4b2o12bo2b2ob2o51b2o2bo45b2o46bo2b2o3b2o16b4o52bo26bobobobo22b
2o4b2o$5bo11b3o31b3o2bo13bo3bo14bobo14bo2b3o2bo15bobo14b4ob4o10b4ob4o
10bob3ob3obo11b4o12b2ob3ob2o10bo9bo10b3o2bo30bo5bo11bo5b3o5bo13b2ob3ob
2o16b2o3bo12b2o48b2obo16b2o2b3o13b4o4bo48b3o3b3o41b3o3b2o44bobo48b8o
20b2obo25b9o22bob2obo$b2o2bo12b2o15b3o14bo3bo12b3o2bo31bo3bo3bo32bo2bo
bo2bo10bo2bobo2bo14bobo14bo16b2obobob2o12bobobobo13bo3bo14bobo13b2o3b
2o11bo2b2obobob2o2bo14bobobobo15b2o2b2o17b2o22bobo17b2o4bob2o13bo2b2ob
o13bo3bob2o2bo20bobo22bo3bo2bo16b2obobob2o14b2obo3bo2bobo18bobo22b3o2b
5o14b2o4b2o48bob2o19b2o6bobo6b2o19b2o$bo49b3o2bo11bo21bo15bo2b3o2bo16b
o74b2o3b2o30b2ob3ob2o11b3o2bo14b3o14bo3bo16bo5bo15b2o9b2o12b2o2b2o15b
2o2bobo17b3ob3o15b2obo4b2o13b2o20bobo4b2o18b3ob3o20bo4bo2b2o14b2ob3ob
2o14b2obo4bo2b2o16b3ob3o18bo3bo2bo3bo10b2o2bo2b2o2bo2b2o13bo10bo16bo2b
2o21bo2bo11bo2bo17bo4bo$2o17b2o47b2o20bo40bo19bo18bo19bo21bo14bo18bobo
31b2obobob2o10b2o3b2o15b2o3b2o15b2o9b2o10bo3b2o14bo3bo2bob3o15bo5bo18b
ob2o15bobo3bobo13b2o4bobo19bo5bo17b2obo5bob2o17bobo20bo5bo18bo7bo17bo
5b3o13bobo4b2o4bobo13bo10bo16b3o3b3o19b2o11b2o14bo4b2o2b2o4bo$19b3o29b
3o36bo18b3o19bo19bo18bo19bo17b4o15bo17b2ob2o31bo5bo11bo5bo60b3ob2ob2o
11b3o2b2o4bo11bo2b2o5b2o2bo11b3o4bo20b2o14bo2b2obo3bo15b2o7b2o15b2o2bo
4bo14bo2b3o3b3o2bo11b2o2bo4bob2o15bob2ob2obo18b3o5bo14bo2b2o2b2o2bo15b
o4b2o4bo13bo4bo2bo3bo4b2o13bo11bo15b2ob2o6b2ob2o$151bo18bo19bo16bo19bo
35b3o2bo12bo5bo13b3o64bo4bo14bo3bob3o12bo13bo11bo3b2obo15bob2o2bo16bo
4b4o15bo9bo17bo2bo3bo14bo3bo5bo3bo11bobo2bo3bob2o11bo2b2ob2ob2ob2o2bo
11bo3bo2bo3bo14bo2b2o2b2o2bo12b2obo3bo2bo3bob2o10b5o2bo4bo4b2o12b3o9b
3o12b2o4bo6bo4b2o$19b3o185b3o54bo3bo11b2obobob2o11bo3bo67b2o15b2o3bo
14bo2b2o5b2o2bo15b2ob2o14b3o2b2o15b2ob2o2bo13bo2b2o9b2o2bo11b3o3b3o15b
o2b3o3b3o2bo12b2o3b3o15bo15bo11b5o2b3o14bobo4b2o4bobo10b2obo3bo2bo3bob
2o14bobo5bobo17bo11bo14bob2o10b2obo$209bo53b3o2bo14b3o14b2ob2o85bo22bo
5bo35b2o4bo19bo2b2o15bo17bo11bo2b2o25bobo20b2o19bo2b2ob2ob2ob2o2bo18bo
bo14b2o2bo2b2o2bo2b2o13bo4b2o4bo13b2o4bo4bo2b5o12b3o9b3o13bob2o10b2obo
$283bobo104b2o21b3ob3o35b2o8b2o14b2o18bo2b2o9b2o2bo14bob2o20b2ob3ob2o
17bobob2o19bob2ob2obo15b2o3b2o2bo18b2o4b2o17bo10bo13b2o4bo3bo2bo4bo13b
o11bo13b2o4bo6bo4b2o$263b3o149bobo47b2o38bo9bo17b2ob2o20b2obobob2o18b
2ob2o19bo7bo15b2o7bob2o40bo10bo20b3o3b3o15b2o11b2o14b2ob2o6b2ob2o$505b
2o7b2o94b3ob3o24b2ob2o17b4o55b2o2bo13bo2bo11bo2bo12bo4b2o2b2o4bo$283b
3o221bo5bo98bobo47bo4bo20b8o24b2obo16b2o6bobo6b2o17bo4bo$415b3o89b3ob
3o47b3o98b2o2b2o53bob2o20b9o24b2o$509bobo179b2o28bo24bobobobo23bob2obo
$612b3o76b2o25b2obo22bo9bo20b2o4b2o$718b2ob2o21b2o7b2o22b4o$509b3o265b
o2bo22$2ob2o3b2o14b2ob2o11b2o3b2o13b2o2b2o18bo16b2o5b2o13bo2bo26b2o19b
o2bo3bo2bo16b2o4b2o$2obo4b2o13bobob2o10bobo3bobo12bo4bo18b3o14b2o5b2o
13b4o25bo2bo18b4o3b4o14b3obo2bob3o$4b2o17bo15b3o3b3o13b4o21bo17bobo14b
2o29bo2bo16b2o11b2o11bo4bo2bo4bo$2o4bob2o11b2o4b2o13bobo13b2obo2bob2o
14b3o2b2o14b2ob2o14bob2ob2o20b2obo2bob2o14bo2b2o3b2o2bo12bob2obo2bob2o
bo$2o3b2ob2o10bo7bo29b2o6b2o13bo6bo11b2o7b2o11bob2obobo19b2o6b2o14bobo
bo3bobobo11b2ob2o6b2ob2o$20b2o4b2o14bobo16b4o16bo4bob2o10bob2o3b2obo
10b2o6bo22b4o16b2ob3o3b3ob2o10bo5b4o5bo$25bo13b3o3b3o13bo2bo13b2obo4bo
15bo5bo15b2o4b2o15b3obo4bob3o17bobo17b3obo4bob3o$20b2obobo13bobo3bobo
14b2o15bo6bo15bo5bo15bo7bo13bo4bob2obo4bo40bob2obo$20b2ob2o15b2o3b2o
14bo2bo14b2o2b3o14bob2o3b2obo14b2o4b2o13bo4bob2obo4bo16bobo21bob2obo$
61bo2bo16bo18b2o7b2o16bo6b2o11b3obo4bob3o11b2ob3o3b3ob2o11b3obo4bob3o$
62b2o17b3o19b2ob2o19bobob2obo17b4o17bobobo3bobobo11bo5b4o5bo$83bo20bob
o21b2ob2obo14b2o6b2o14bo2b2o3b2o2bo11b2ob2o6b2ob2o$101b2o5b2o24b2o13b
2obo2bob2o13b2o11b2o11bob2obo2bob2obo$101b2o5b2o20b4o18bo2bo18b4o3b4o
13bo4bo2bo4bo$130bo2bo18bo2bo18bo2bo3bo2bo14b3obo2bob3o$153b2o46b2o4b
2o21$50b2o52bo2bo17bo3b2o10b2obo2bob2o21b2o18b2o34b2o8b2o19b2o15b2o4b
2o13b2o8b2o11b2o7b2o36b2o9b2o13b2o11b2o73b2o6b2o17b2o10b2o$7bo19bo22b
2o17bo19bo12b3o2b3o15bobo2bo11b3o2b3o22bobo17bo15b3o2b3o12bo10bo15b2o
2bo16b2o4b2o13b2o8b2o10bobo7bobo16bo17bo2bo7bo2bo11bobo11bobo18bo2bo
24bo2bo22b2o6b2o17b2o10b2o$4b2ob3o14b2ob3o18bo17b2ob3o14b2ob3o10bo6bo
17b3o14bo2bo21bo3b2o12b2ob3o2bo10b3o6b3o12b2o4b2o17bobobo2bo16b2o18b2o
4b2o12b2o2bo3bo2b2o14b3ob2o14bo2bo7bo2bo10bo2b2o9b2o2bo14b2ob4ob2o18b
2ob4ob2o22bo2bo18b2o3bo6bo3b2o$4b2o3bo14b2o3bo15b2ob2o16b2o3bo14b2o3bo
13b2o17b2o16bo6bo16b2ob3o15b2obo2b3o10b5o2b5o12bo6bo19b2ob3o11b3ob4ob
3o13bo6bo15b2o3b2o17bo3b2o15b2o2bo3bo2b2o11b3o2bo7bo2b3o14b2o6b2o18b2o
6b2o19b2obo2bob2o15b2o2b3o4b3o2b2o$2b2o2bo15b2o2b2o17b2o17b2o2b3o13b2o
2b2o15b2o16bo2b2o13b2o6b2o15b2o3b2o20bo35b2obo2bob2o19b2o13bo12bo11b2o
bo2bob2o13b3o3b3o14b2o2b2o2b2o16b2o3b2o16bo2bo7bo2bo14b2o2bob2obo2b2o
14b2o2b2o2b2o2b2o18bobo2bobo19bo10bo$2b2o2bo15b2o2bo16b2o2bo16b2o2bo
15b2o2b2o15b2o13b2obo2b2o16b4o16b2o2bo18b2o3b2o38bo2bo15b2o6b2o12bo12b
o14bo2bo39bo3b2o2b2o15b3o3b3o16b2o2bo3bo2b2o15b2o2bob2obo2b2o14b2o2b2o
2b2o2b2o12b2obo2b2o4b2o2bob2o12b2o2b2o2b2o2b2o$4b2o18b3o16b2o2bo18b2o
18b2o17b2o17b2o18bo2bo16b2o2bo18bo44bo2bo15bo9bo12b3ob4ob3o15bo2bo38b
2ob2o2b2o45b2o3b2o20b2o6b2o18b2o6b2o14b2ob3o8b3ob2o13bobobo2bobobo$b2o
18b2obo20b2o16b2obo16b2ob2o14bo6bo11b2ob2o19b2o19b2o17b3o2bob2o35b2obo
2bob2o13b2o6b2o17b2o17b2obo2bob2o38b2o2b2ob2o41b3o3b3o16b2o12b2o12b2ob
2o6b2ob2o16bo8bo20b2o4b2o$2bo19bo19b2o20bobo17bo17b3o2b3o12bo40b2o20bo
2b3ob2o12b5o2b5o12bo6bo15b2o21b2o4b2o15bo6bo14b3o3b3o14b2o2b2o3bo68bob
2o6b2obo14bo12bo14b3o10b3o$2b2o18b2o19bo20b2o18b2o18bo2bo12bobo41bo23b
o17b3o6b3o12b2o4b2o12b3ob2o20b2o4b2o15b2o4b2o15b2o3b2o15b2o2b2o2b2o15b
3o3b3o44bob2o6b2obo14bo12bo$40b2o78b2o42b2o21b2o19b3o2b3o12bo10bo10bo
2bobobo39b2o8b2o10b2o2bo3bo2b2o14b2o3bo18b2o3b2o44b2o12b2o12b2ob2o6b2o
b2o46b2o4b2o$40b2o119b2o2bo62b2o8b2o13bo2b2o39b2o8b2o10bobo7bobo14b2ob
3o15b2o2bo3bo2b2o16b3o3b3o19b2o6b2o18b2o6b2o16b3o10b3o15bobobo2bobobo$
161bobo88b2o66b2o7b2o18bo16bo2bo7bo2bo16b2o3b2o18b2o2bob2obo2b2o14b2o
2b2o2b2o2b2o17bo8bo17b2o2b2o2b2o2b2o$162b2o202bo2bo7bo2bo13b2o2bo3bo2b
2o15b2o2bob2obo2b2o14b2o2b2o2b2o2b2o12b2ob3o8b3ob2o13bo10bo$367b2o9b2o
13bo2bo7bo2bo16b2o6b2o18b2o6b2o14b2obo2b2o4b2o2bob2o10b2o2b3o4b3o2b2o$
391b3o2bo7bo2b3o14b2ob4ob2o18b2ob4ob2o20bobo2bobo16b2o3bo6bo3b2o$391bo
2b2o9b2o2bo17bo2bo24bo2bo22b2obo2bob2o17b2o10b2o$392bobo11bobo75bo2bo
20b2o10b2o$393b2o11b2o73b2o6b2o$481b2o6b2o21$b2o5b2o$bo7bo$2o2bobo2b2o
$bobo3bobo$bobo3bobo$2b2o3b2o2$2b2o3b2o$bobo3bobo$bobo3bobo$2o2bobo2b
2o$bo7bo$b2o5b2o22$3b3o16b3o23b3o17b3o17b3o28b3o17b3o20b3o5b3o19b3o27b
3o28b3o5b3o18b2o41b3o19b3o$2b2ob3o14b3o23b3o17b3o17b3o17b3o8b3o17b3o
20b3o5b3o19b3o27b3o28b3o5b3o18b2obo8b2o18b3o8b3o19b3o$2b2o3bo17b2o14b
2o8b2o18b2o18b2o15b3o11b2o18b2o21b2ob2o25b2o28b2o5b3o21b2ob2o19b2o4bo
5bob2o18b3o11b2o20b2o5b3o$4b2o13b2o4b2o14bo3b2o4b2o12b2o4b2o12b2o4b2o
18b2o3b2o4b2o12b2o4b2o15b2o4b2ob2o4b2o13b2o4b2o22b2o4b2o5b3o15b2o4b2ob
2o4b2o13b2o9bo4b2o19b2o3b2o4b2o14b2o4b2o5b3o$b2ob2o13b2o4b2o11b2obo3b
2o4b2o12b2o4b2o12b2o4b2o12b2o4b2o3b2o4b2o12b2o4b2o15b2o4b2ob2o4b2o13b
2o4b2o22b2o4b2o3b2o18b2o4b2ob2o4b2o19b2o8b2o13b2o4b2o3b2o4b2o14b2o4b2o
3b2o$2bo16b2o17b2ob2o2b2o18b2o18b2o18b2o4b2o3b2o18b2o21b2o13b2o13b2o
28b2o9b2o4b2o12b2o13b2o14bo4b2o2b2o19b2o4b2o3b2o20b2o9b2o4b2o$2b2o17b
3o23b3o17b3o17b3o15b2o11b3o17b3o20b3o7b3o17b3o27b3o6b2o4b2o14b3o7b3o
17bob2o4b2o4bo14b2o11b3o19b3o6b2o4b2o$21b3o23b3o17b3o17b3o17b3o8b3o17b
3o20b3o7b3o17b3o27b3o12b2o14b3o7b3o19b2o6b2obo17b3o8b3o19b3o12b2o$107b
3o123b3o56b2o19b3o42b3o$67b3o91b3o69b3o16b3o7b3o93b3o$47bo2bo16b3o18b
3o70b3o38b3o47b3o7b3o18b2o$47b4o14b2o21b3o51b3o14b2o30b3o8b3o18b3o24b
2o13b2o14bob2o6b2o31b3o17b3o$65b2o4b2o18b2o49b3o14b2o4b2o24b3o11b2o16b
3o24b2o4b2ob2o4b2o13bo4b2o4b2obo18b3o8b3o17b3o$47b2o16b2o4b2o12b2o4b2o
52b2o12b2o4b2o27b2o3b2o4b2o14b2o27b2o4b2ob2o4b2o18b2o2b2o4bo17b3o11b2o
13b2o12b3o$47b2o22b2o12b2o4b2o46b2o4b2o18b2o21b2o4b2o3b2o4b2o14b2o4b2o
27b2ob2o18b2o8b2o25b2o3b2o4b2o13b2o4b2o6b3o$68b3o14b2o52b2o4b2o15b3o
23b2o4b2o3b2o20b2o4b2o24b3o5b3o15b2o4bo9b2o13b2o4b2o3b2o4b2o13b2o4b2o
9b2o$68b3o16b3o49b2o21b3o23b2o11b3o23b2o24b3o5b3o17b2obo5bo4b2o13b2o4b
2o3b2o25b2o3b2o4b2o$87b3o51b3o46b3o8b3o20b3o54b2o8bob2o15b2o11b3o19b3o
5b2o4b2o$141b3o46b3o31b3o66b2o17b3o8b3o19b3o5b2o$312b3o40b3o$355b3o23$
2b3o2b3o2$2b3o2b3o2$2b2ob2ob2o$2b2ob2ob2o2$2b3o2b3o2$2b3o2b3o22$16bo
16b2o$2o14b2o15b3o2b2o$b2o13bo2b3o16b2o$bo18bo17bo$b2o12bo17bo$14b3o2b
o12b2o$18b2o12b2o2b3o$19bo17b2o21$2o6b2o$o2b2o4bo14bob2o$2b2o3bo18b2o$
7b2o$8bo12bo3b4o$bo22bo4bo$b2o18b2obob2obob2o$2bo3b2o13b2obob2obob2o$o
4b2o2bo14bo4bo$2o6b2o15b4o3bo2$26b2o$26b2obo25$8bo2bo$7bob2obo$6b2ob2o
b2o$5bo2bo2bo2bo$4b2o2bo2bo2b2o$3bo2b2ob2ob2o2bo$4b2o2bo2bo2b2o$4b2o2b
o2bo2b2o$3bo2b2ob2ob2o2bo$4b2o2bo2bo2b2o$5bo2bo2bo2bo$6b2ob2ob2o$7bob
2obo$8bo2bo25$31b2o$31bo$30bo$30b3o$2bo2bobo$2b3ob3o18b2o$2bo22b2obo$
4b5o16bo2bo7bo2bo$4b2o30bob2o$36b2o2$32b3o$34bo$33bo$32b2o27$6bo11bo$
5b3o9b3o$5bo2bo7bo2bo$6bob2o5b2obo$7b2o7b2o2$3b2o15b2o$3b2o15b2o34$
452b2o16b2o60bo19bo$83b3o16b3o346bobo16bobo59b2o17b2o$17b2ob2o11b2ob2o
45b3o16b3o116b3o18b3o208bo16bo60bobo17bobo52b3o13b3o53b3o18b3o62b2o20b
2o$17b2ob2o11b2ob2o44bo22bo45b3obo13bob3o47b3o18b3o49b3o20b3o50b3o21b
3o209bobo13bobo55bo18bo63bobo20bobo$20b2o11b2o44b2obob2o16b2obob2o42b
2o19b2o46bo24bo48b3o20b3o50b3o21b3o134bobo17bobo51bo2bo13bo2bo53bo20bo
64bo20bo$16bob2o15b2obo41bo3b2o16b2o3bo46b2o13b2o46b2obob2o18b2obob2o
44bo26bo48bo27bo208b2o15b2o53bobo18bobo$15b2o21b2o37bo3b2o22b2o3bo38b
5obo13bob5o42bo3b2o18b2o3bo42b2obob2o20b2obob2o42b2obob2o21b2obob2o
132bo17bo52b2o19b2o51bobo18bobo$14bo2b2o17b2o2bo36b2o2bo24bo2b2o42b2o
15b2o43bo3b2o24b2o3bo40bo3b2o20b2o3bo44bo3b2o21b2o3bo204b2o19b2o$13b2o
3bo17bo3b2o37b2o26b2o38bo4b2o17b2o4bo37b2o2bo26bo2b2o37bo3b2o26b2o3bo
38bo3b2o27b2o3bo199b2o23b2o50b2o18b2o$10b2o3bo23bo3b2o31b2obo28bob2o
35bo29bo39b2o28b2o39b2o2bo28bo2b2o38b2o2bo29bo2b2o48bo20bo127bob2obobo
15bobob2obo$10b2obob2o21b2obob2o29b2o36b2o30b2obo4bo19bo4bob2o33b2obo
30bob2o38b2o30b2o42b2o31b2o49b3o18b3o56b3o19b3o43b2obo5bo15bo5bob2o$
13bo27bo32b2ob2o30b2ob2o30b2obobobo21bobobob2o31b2o38b2o33b2obo32bob2o
36b2obo33bob2o46bobo18bobo56b2o2bo15bo2b2o43bo2bo3b2o8bo8b2o3bo2bo130b
o24bo$10b3o29b3o29b2ob2o30b2ob2o30bo2b3o25b3o2bo31b2ob2o32b2ob2o31b2o
40b2o32b2o41b2o44b2ob3o12b3ob2o60bo15bo47b3o14bo14b3o43b5o18b5o58b3o
22b3o$10b3o29b3o101bobo27bobo33b2ob2o32b2ob2o31b2ob2o34b2ob2o32b2ob2o
35b2ob2o125bo2bo15bo2bo61bo62b4o16b4o60bobo22bobo$144bob2o29b2obo104b
2ob2o34b2ob2o32b2ob2o35b2ob2o273b2o18b2o61b2ob3o16b3ob2o$445b3o28b3o
46b2o31b2o113bo32bo$436bo7b2obo28bob2o7bo29bobo5b2obo27bob2o5bobo105bo
32bo$435bo9b2o30b2o9bo26b2o8bo33bo8b2o93bo2b2o5b2o30b2o5b2o2bo40b3o32b
3o$435b3o9bo28bo9b3o27b2obobo41bobob2o94bobo3bo3b3o28b3o3bo3bobo31bo7b
2obo32bob2o7bo$447bo28bo49b3o27b3o48b3o11b3o39b2ob2obo3b3o28b3o3bob2ob
2o30bo9b2o34b2o9bo$447bo28bo197bo30bo41b3o9bo32bo9b3o$759bo32bo$759bo
32bo3$10b3o29b3o570bo$10b3o29b3o553b3o14bo14b3o$13bo27bo556bo2bo3b2o8b
o8b2o3bo2bo$10b2obob2o21b2obob2o99bob2o29b2obo417b2obo5bo15bo5bob2o$
10b2o3bo23bo3b2o29b2ob2o30b2ob2o32bobo27bobo421bob2obobo15bobob2obo$
13b2o3bo17bo3b2o32b2ob2o30b2ob2o30bo2b3o25b3o2bo421b2o23b2o$14bo2b2o
17b2o2bo33b2o36b2o30b2obobobo21bobobob2o423b2o19b2o$15b2o21b2o36b2obo
28bob2o32b2obo4bo19bo4bob2o31b2ob2o32b2ob2o350b2o19b2o$16bob2o15b2obo
40b2o26b2o38bo29bo34b2ob2o32b2ob2o193bo28bo129b2o15b2o$20b2o11b2o42b2o
2bo24bo2b2o36bo4b2o17b2o4bo34b2o38b2o193bo28bo128bo2bo13bo2bo$17b2ob2o
11b2ob2o39bo3b2o22b2o3bo42b2o15b2o42b2obo30bob2o33b2ob2o34b2ob2o106b3o
9bo28bo9b3o37b3o27b3o47bobo13bobo$17b2ob2o11b2ob2o42bo3b2o16b2o3bo41b
5obo13bob5o41b2o28b2o36b2ob2o34b2ob2o32b2ob2o35b2ob2o29bo9b2o30b2o9bo
27b2obobo41bobob2o37b3o13b3o$79b2obob2o16b2obob2o45b2o13b2o44b2o2bo26b
o2b2o34b2o40b2o32b2ob2o35b2ob2o30bo7b2obo28bob2o7bo27b2o8bo33bo8b2o
104bo30bo$82bo22bo45b2o19b2o41bo3b2o24b2o3bo36b2obo32bob2o34b2o41b2o
39b3o28b3o38bobo5b2obo27bob2o5bobo95b2ob2obo3b3o28b3o3bob2ob2o$83b3o
16b3o46b3obo13bob3o44bo3b2o18b2o3bo42b2o30b2o39b2obo33bob2o121b2o31b2o
103bobo3bo3b3o28b3o3bo3bobo42bo32bo$83b3o16b3o112b2obob2o18b2obob2o39b
2o2bo28bo2b2o40b2o31b2o262bo2b2o5b2o30b2o5b2o2bo42bo32bo$220bo24bo42bo
3b2o26b2o3bo38b2o2bo29bo2b2o47b2ob3o12b3ob2o57bo2bo15bo2bo119bo32bo40b
3o9bo32bo9b3o$221b3o18b3o46bo3b2o20b2o3bo41bo3b2o27b2o3bo47bobo18bobo
60bo15bo122bo32bo40bo9b2o34b2o9bo$221b3o18b3o45b2obob2o20b2obob2o43bo
3b2o21b2o3bo50b3o18b3o56b2o2bo15bo2b2o124b2o18b2o47bo7b2obo32bob2o7bo$
293bo26bo45b2obob2o21b2obob2o50bo20bo57b3o19b3o123b4o16b4o55b3o32b3o$
294b3o20b3o49bo27bo278b5o18b5o$294b3o20b3o50b3o21b3o$370b3o21b3o365b2o
b3o16b3ob2o$533bo17bo210bobo22bobo$679b2o18b2o61b3o22b3o$531bobo17bobo
209bo24bo$453bo16bo207bobo18bobo$451bobo16bobo58bobo17bobo124bobo18bob
o$452b2o16b2o60b2o17b2o126bo20bo$532bo19bo127bo18bo$678b3o18b3o2$765bo
20bo$763bobo20bobo$764b2o20b2o91$32b2o29b2obo12b2obo12b2obo100bo17bobo
15bobo17bo$3o11b3o14b3o12b3o15b2o14b2o2bo11b2o14b3o48b3o19bo13bobo15b
2o16bobo16bo22bo3b2o15b2o3b2o64bo7bo$2bo13bo14b2obo13bo18b2o14bo15bo
12bo3b2o12b2o15b2o16bo18b3o12b2o17bo16b2o17b3o18bo3bob2o13bo4bob2o12b
2o15b2o15b2o15b3o5b3o$bo13bo2bo13b3o12bo2b2o14b2o15b2o14b2o12bo15b2ob
3o11b2ob4o11bo18b2obo15b2o16b2o16b2o34bo20bo20b2ob3o11b2ob3o11b2ob4o
11bob2o3b2obo$17b3o13bo15bobo15b2o15bo14b2o13bo2bo12b5o12b6o12bo17b3o
15b2o16b2o17b3o16bo16bo4bo15bo5bo15b5o12b5o12b6o12b3o3b3o$17bobo29bobo
62b2o15b3o14b4o12b3o17b2o16b2o16b2o35b3o14b5o16b6o17b3o14b3o14b4o13b2o
5b2o$205bo17bo17bo15b2o2bo$165bo17bo20bo17bo18b2o17bo74b3o14b4o15bo3bo
$167b3o12b2o20b2o16b2o17b2o17b2o56b3o13b5o12b6o14b2ob2o$169bo35bo17bo
37bo55b5o11b2ob3o11b2ob4o$168bo13b2o132b2ob3o12b2o15b2o18b2ob2o$317b2o
124$41bo2bo5bo81b3o$3b3o36bob2o4bo45b3o31b2ob2o$3b3o11bo2b2o20bobo4bo
18b2o27b2o34b2o$5bo13b3o27b3o13b2ob2o19b3o3bobo$4bo16bo27b3o15b3o19b3o
3bo$4bo13b2o69bo8bo27bo$90bo35bo$26bo45b3o15bo34bo$25b3o44b3o50b3o$72b
o52b3o$26b2o45bo$25bo47bo$120b3o$118b2ob2o$121b2o3$114bo$114bo$113bo$
113b3o$113b3o!

[...] Here is a potentially-interesting variant, keeping several mentioned objects, and allowing an unexpected p58 diagonal c/58 spaceship: [...]
edit 1: here is an oddity related to the orthogonally-moving standard spaceships: [...]
Catagolue censuses listed on the page https://catagolue.hatsya.com/census/b2n ... 3-c4eqrz6i

edit 2: here is a p260 orthogonal 3c/65 rake, shooting p10 diagonal c/5 spaceships backwards: [...]
edit 3: ... and another oddity, three p58 diagonal c/58 spaceships: [...]
edit 4: ... and another oddity, two different p10 mod-5 oscillators with the exact same envelope, except one is statorless and another isn't: [...]

p124 glider gun from the D2_x census: [...]

edit: and it turns out that the stamp collection missed the p58 spaceships, which was unintentional as well. Here are the missing spaceships:

Code: Select all

x = 73, y = 20, rule = B2n3-cekq6i/S2-cn3-c4eqrz6i
68b2o$68b2o2$68b2ob2o$24b2ob2o39b2o2bo$2o22b2ob2o$2o25b2o$27b2o$2ob2o
22b2o$2o2bo5$24bo$22b3o28b2ob2o$22bobo28b2ob2o2$56bo$56b2o!

[b-engine]

Weird 3c/9:

Code: Select all

x = 5, y = 3, rule = B2e3aiqr4qz5ei/S1c2-n3aeiy4ae5ejr
2bo$bobo$o3bo!

And a weirder 5c/43:

Code: Select all

x = 3, y = 2, rule = B2e3aiqry4qtz5ei/S1c2-n3aeiy4ae5ejry6c
obo$3o!

EDIT:
Even more weirder 4c/25:

Code: Select all

x = 3, y = 3, rule = B2ei3-cejn4iqtyz5einq6ik/S1c2-n3aeiy4ae5ejry6ac
bo$obo$obo!

[confocaloid]

[...] edit: another "very long rulestring" tweak, apparently in this case soups tend to grow: [...]

[...] "tame" it by adding the glider and the factorial spaceship. Here is one possibility [...]

Simplified, might be interesting, here are some evolutionary sequences and collisions:

Code: Select all

#C [[ GRID THEME Catagolue ]]
x = 197, y = 146, rule = R3,C0,S2,7,15,20,27-28,35,40,125-132,136,140,153,181-182,210,252,255-257,260-262,265,275-280,282,286,290,300,302-307,310-311,340,375,390,411,415,427-428,431-432,435-436,440,456,500-502,505-507,510-512,515,520,525-541,550,552,555,557-561,575,582-631,652-653,665,686,690,710-711,750-757,760-761,775-781,785-791,800,806-875,877-878,881-882,885,890,896,910,915,927,932,940,957-961,1002,1011,1028,1036,1040,1051-1061,1125-1126,1131-1136,1150,1155,1162,1180-1181,1185-1250,1252-1260,1278-1286,1306-1307,1381-1386,1410,1536-1824,2063-4624,B4,10,28,61,140,151-161,207,252,257-262,265,290,385,390,403,428,440,457,527-531,553,557,590,604,640,652-657,660-666,675-678,711,765,802-803,811,890,915,928,932,936,961,1011,1015,1040,1053,1057,1061-1069,1082-1086,1135,1140,1153,1207,1265,1278,1282,1307,1311-1315,1407,1432,1507,1632,1948,2688,NW7D7D7D197D7D7D7D7D7D7D7D7D7D7D7D0501057D7D197D0100017D197D7D0501057D7D7D7D7D7D7D7D7D7D7D7D197D7D7D
69bobo$69b2o$70bo14$74b2o$74bobo$74bo13$154bo2b3o6$4bo$5bo$3b3o5$19bob
o$19b2o$20bo3$164bo$165bo$163b3o$150bobo17$67bo$68bo$66b3o5$81bobo$81b
2o$82bo3$193bobo$192b2ob2o2$192b2ob2o$193bobo4$bo$2bo139bo$3o$144bo$
19bo122b2o$19bobo120b2o2bo$19b2o23$69bo$70bo$68b3o$88bo$86b2o$87b2o18$
bo$2bo$3o18bo$20bo$20b3o!

[b-engine]

A 11c/80 diagonal glide-symmetric spaceship made of two sparks colliding each other:

Code: Select all

x = 7, y = 5, rule = B2ek3ijqy4in5j/S1c2cek3n5e
6bo$bo4bo$2bo3bo$o3b2o$b3o!

[confocaloid]

Some stationary periodic components, based on the p28 oscillator:

Code: Select all

x = 280, y = 103, rule = B2ek3ijqy4in5j/S1c2cek3n5e
253bo3bo$39b3o208bob2o3b2obo$38bo3bo207bo2bo3bo2bo$38b2ob2o208bobo3bob
o$37bobobobo208bob3obo$38bobobo80b2o3b2o61bo3bo55bobo3bobo$38b2ob2o
145bob2o3b2obo53bob3obo$40bo82bobobobo58bo2bo3bo2bo56bo$120bobo7bobo
56bobo3bobo$2b3o116b2o7b2o58bob3obo58bo$bo3bo115b2o7b2o57bobo3bobo$o4b
o28bo87bo7bo59bob3obo$bo3bo29bo86b9o62bo$2b3o29bo89b2ob2o$126bo66bo3$
10b3o$10bobo$254bobo17bobo$80bobo171b3o17b3o$38bobo39b3o$38b3o$161bobo
55bobo$125bobo33b3o28bobo24b3o$125b3o64b3o6$10b3o$10bobo$254bo2$38bobo
213bo$38b3o210bob3obo12b2o5b2o$250bobo3bobo11bo7bo$88b3o70b3o29bo57bob
3obo$86b2o3bo34bo123bobo3bobo10bo4bo4bo$16bo13bo15b3o37bo5bo31b2ob2o
29bo7bo26bo22b2o5b2o24bo2bo3bo2bo9bobobobobobo$15bo13bo15bo3bo35bo2bo
3bo29b9o29b5o25bob3obo19bo7bo24bob2o3b2obo13bobo$16bo13bo14bo4bo35bo5b
o29bo7bo28bo5bo23bobo3bobo54bo3bo$45bo3bo36b2o3bo29b2o7b2o24bo2bo5bo2b
o21bob3obo18bo4bo4bo$46b3o39b3o30b2o7b2o24bo2bo5bo2bo20bobo3bobo17bobo
bobobobo$120bobo7bobo25b2o5b2o21bo2bo3bo2bo20bobo$10bo112bobobobo31bob
o24bob2o3b2obo$8b2ob2o178bo3bo$8bobobo110b2o3b2o$7bobobobo$8b2ob2o$8bo
3bo$9b3o36$95b4o$95b6o$95b3o2bo2$87b3o$85b2o3b2o$85bo5bo$84bo3bo$85bob
o3bo$85b2ob2o9bo$87b2o6bo2bo$89b2o4bobo$89bo$89bo$88b2o!

A 11c/80 diagonal glide-symmetric spaceship made of two sparks colliding each other:

Code: Select all

x = 7, y = 5, rule = B2ek3ijqy4in5j/S1c2cek3n5e
6bo$bo4bo$2bo3bo$o3b2o$b3o!

[b-engine]

2c/14 when trying to find a c/4 spaceship:

Code: Select all

x = 6, y = 7, rule = B3-c/S23-q5q6c
o$2o$4bo$4b2o$4bo$2o$o!

[confocaloid]

2c/14 when trying to find a c/4 spaceship:

Code: Select all

x = 6, y = 7, rule = B3-c/S23-q5q6c
o$2o$4bo$4b2o$4bo$2o$o!

Replacing the death rule D4z by the survival rule S4z unexpectedly adds a p54 orthogonal c/9 spaceship:

Code: Select all

x = 35, y = 20, rule = B3-c/S23-q4z5q6c
32b2o$31bo2bo$30b2ob2o$30b3o$30b2o$30b3o$30b2ob2o$31bo2bo$32b2o2$bo$ob
o$bo$3o4$31bo$32bo$30b3o!

What I was trying to do is to tweak the rules so that the object shown on the left would evolve into a p69 orthogonal c/23 spaceship moving in the opposite direction:

Code: Select all

x = 85, y = 81, rule = B3-c/S23-q5q6c
bo$2bo$3o36$34bo$32bobo$33b2o35$66bo$67bo$65b3o15bo$82bobo$83bo$82b3o!

[eRroR_6o6]

This RRO is 2-loopable, and JUST BARELY 3-loopable:

Code: Select all

x = 31, y = 8, rule = B2ei3-acn/S12cei3-e
26b2obo$26bo2b2o$o19bo5b4o$bobo2b3o12bobo$b3o2bobo12b3o$9bo16b2o$26b2o
$23bob3o!

[confocaloid]

This RRO is 2-loopable, and JUST BARELY 3-loopable:

Code: Select all

x = 31, y = 8, rule = B2ei3-acn/S12cei3-e
26b2obo$26bo2b2o$o19bo5b4o$bobo2b3o12bobo$b3o2bobo12b3o$9bo16b2o$26b2o
$23bob3o!

I can "capture" the evolutionary sequence of the 3-looped version (the p16 oscillator) using a fully-symmetric weighted neighbourhood; see the example below. However, I didn't find any such solutions with range up to 3 either for 2-looped version (the p24 oscillator) or for the p48 oscillator by itself; there might be solutions with higher-range weighted neighbourhoods; there might be solutions with weighted neighbourhoods that aren't fully-symmetric.

In this example, there are some small orthogonal spaceships (p1 c/1, p3 c/1), there is a small diagonal spaceship (p3 c/3), and the obo! pattern is a methuselah:

Code: Select all

#C [[ THEME MCell GRID ]]
x = 110, y = 124, rule = R3,C0,S10,12,32-37,50-56,75,130,135-141,157-162,175-182,201-202,256,261-267,275-276,282-288,300-308,326-328,381,385-402,407-412,425-433,451-452,506,510-518,533-537,550-557,575-577,635-638,655-662,675-683,700-702,760-761,777,781-788,800-807,825-827,885-891,905-912,925-932,950-952,1030-1058,1157-1181,1200,1302-1307,1432-1433,B15-17,35-38,55-57,76,140-142,150,160-162,181-183,200-201,265-268,285,287-288,300-301,305-307,325-328,390,392,411-413,425,432-433,451-452,516-517,537-538,550-551,555-558,575-577,640-642,660-661,663,675-676,680-682,700-702,766-767,785-789,807,825-827,893,910-912,930-932,950-952,1035-1037,1055-1057,1076,1141,1161-1162,1181-1183,1287,1307,1414,1537,NW007D007D007D007D017D007D017D007D0519057D007D00190019007D007D0519057D007D017D007D017D007D007D007D00
o20bo19bobo16bo3bo16bo$b2o17bobo17bo24bo14b3o$o20bo21bo38bo21bo2bo$40b
obo20bo16bobo2b3o15bo4bo$80b3o2b3o$87bo$103bo4bo$83b2o2bo16bo2bo$84bo$
83b2o$82bo10$63bo2$65bo$60bo2$62bo15$46bo22bo38bo$44bob2obo17bo39bobo$
46bo22bo36bobo81$93bobo!

Here is the weighted neighbourhood used above (weights of neighbours are given in hexadecimal; '19' means 25; '7D' means 125):

Code: Select all

-- 7D -- 7D -- 7D --
7D 01 7D -- 7D 01 7D
-- 7D 05 19 05 7D --
7D -- 19 -- 19 -- 7D
-- 7D 05 19 05 7D --
7D 01 7D -- 7D 01 7D
-- 7D -- 7D -- 7D --

Excluding the obo! methuselah, the rest of the object collection above is

preserved in 2^4885 cellular automata with the same weighted neighbourhood:
optional birth conditions (2405): 3-4, 9, 12-14, 17-19, 21-24, 27-29, 32-34, 36-39, 41-49, 52-54, 56-59, 61-64, 66-69, 71-74, 76-89, 91-99, 101-119, 121-124, 128-129, 132-134, 137-149, 153-154, 158-159, 162-164, 166-169, 171-174, 176-179, 181-184, 186-199, 201-209, 211-224, 226-249, 253-254, 258-259, 263-269, 271-274, 277-279, 283-284, 287-289, 291-294, 296-299, 302-304, 308-309, 312-316, 318-319, 321-324, 326-329, 331-334, 337-349, 351-364, 366-374, 378-379, 383-385, 388-390, 392-399, 403-404, 408-409, 412-419, 421-424, 427-429, 432-434, 436-440, 442-449, 451-455, 457-464, 466-499, 504, 508-509, 511, 513-514, 516-524, 528-529, 532, 534, 537-549, 553-554, 557-559, 563-599, 601-609, 611, 613-624, 628-629, 633-635, 638-649, 653-654, 658-659, 664-674, 677-679, 682-684, 687-704, 706-749, 753-754, 758-761, 763-774, 778-779, 783-784, 787-789, 792-799, 801, 803-804, 808-809, 811-814, 816, 818-864, 866-875, 877-879, 883-899, 901-905, 907-910, 913-965, 967-999, 1001, 1004-1005, 1008-1031, 1033-1049, 1051-1101, 1103-1130, 1133-1249, 1251, 1254-1257, 1260-1311, 1313-1411, 1413-1501, 1503-1815, 1817-2624
optional survival conditions (2480): 2-4, 7-9, 12-14, 17-24, 26-29, 32-34, 37-49, 52-55, 57-59, 62-64, 66-70, 72-124, 128-129, 132-134, 137-140, 142-149, 152-154, 157-159, 162-174, 176-179, 182-184, 187-199, 201-209, 211-214, 217-249, 252-255, 257-259, 263-274, 277-279, 282-299, 303-304, 307-309, 311-324, 326-329, 332-360, 362-364, 366-374, 378-379, 382-385, 387-399, 403-404, 408-409, 412-424, 427-429, 432-434, 437-449, 451-454, 457-459, 462-499, 502, 504-505, 507-515, 517-525, 528-529, 533-534, 537-549, 552-554, 557-559, 562-579, 583-604, 606-629, 631-655, 658-659, 661-665, 667-674, 676, 678-680, 682-685, 688-706, 708-760, 762-776, 778-779, 782-785, 787-790, 792-799, 803-804, 807-810, 813-830, 832-845, 847-926, 928-931, 933-1066, 1068-1166, 1168-1207, 1209-1221, 1223-1463, 1465-1561, 1563-2624

[b-engine]

This still life could move like half-bakery when a single cell is added.

Code: Select all

x = 6, y = 6, rule = B3-ceky4r5qy6n/S23-k4n6k
4bo$3bobo$2bo2bo$bo2bo$o2b2o$b2o!

Could this be made into a spaceship (either by "caterpillarization" or changing the rulestring)?

[R2INT]

[...]

Using a 3-state isotropic non-totalistic rule defined using a ruletable, I modified the evolutionary sequence to become a c/35d:

Code: Select all

x = 31, y = 36, rule = B3-ceky4r5qy6n/S23-k4n6kTest
28.3A$10.A10.A6.A$9.A.A7.A.A7.A$8.A2.A7.3A$7.A2.A$6.A2.2A$7.2A7$18.A$
3.2A14.2A$3.2A6.3A3.2A$19.A6$11.2A$12.2A$2.2A6.A.A$.A2.A5.2A$2.A.A$3.
A4$2.A$.A.A$A3.A$.A.A$2.A!
@RULE B3-ceky4r5qy6n/S23-k4n6kTest
@COLORS
0 0,0,0
1 255,255,255
2 0,255,255
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2}
var a2 = a1
var a3 = a2
var a4 = a3
var a5 = a4
var a6 = a5
var a7 = a6
var a8 = a7
var a9 = a8
0 1,1,1,0,0,0,0,0 1
0 0,1,1,1,0,0,0,0 1
0 1,0,1,1,0,0,0,0 1
0 1,1,0,1,0,0,0,0 1
0 1,1,0,0,0,1,0,0 1
0 1,1,0,0,1,0,0,0 1
0 1,1,1,0,1,0,0,0 1
0 1,1,1,0,1,1,0,0 1
0 1,0,1,1,0,1,1,0 1
0 1,1,1,0,1,1,1,0 1
1 1,1,0,0,0,0,0,0 1
1 0,1,0,1,0,0,0,0 1
1 1,0,1,0,0,0,0,0 1
1 1,0,0,0,1,0,0,0 1
1 0,1,0,0,0,1,0,0 1
1 1,0,0,1,0,0,0,0 1
1 1,1,1,0,0,0,0,0 1
1 0,1,0,1,0,1,0,0 1
1 1,0,1,0,1,0,0,0 1
1 0,1,1,1,0,0,0,0 1
1 1,0,1,1,0,0,0,0 1
1 1,1,0,1,0,0,0,0 2
1 1,1,0,0,0,1,0,0 1
1 1,1,0,0,1,0,0,0 1
1 1,0,0,1,0,1,0,0 1
1 0,1,1,1,0,1,0,0 1
1 1,1,1,1,0,1,1,0 1
0 2,0,2,0,0,0,0,0 1
2 0,2,0,0,0,1,0,0 1
1 1,0,0,2,0,0,0,0 1
0 2,1,1,0,0,0,0,0 2
0 1,2,1,0,0,0,0,0 1
1 0,2,1,1,0,0,0,0 1
0 2,1,2,0,0,0,0,0 1
0 0,2,1,1,0,0,0,0 1
1 2,0,0,0,1,0,0,0 1
2 1,0,0,1,0,0,0,0 1
0 1,0,2,1,0,0,0,0 1
1 0,2,0,0,0,2,0,0 2
2 0,2,1,1,0,0,0,0 1
1 0,2,0,1,0,1,0,0 1
2 0,1,0,0,0,1,0,0 1
0 2,0,1,1,0,0,0,0 1
1 2,1,0,1,0,0,0,0 1
2 1,0,1,2,0,0,0,0 1
1 2,0,1,1,0,0,0,0 1
1 1,1,1,1,0,2,1,0 1
2 1,0,1,0,0,0,0,0 1
1 2,1,1,0,0,0,0,0 1
2 1,1,0,0,0,0,0,0 1
1 1,2,0,0,0,0,0,0 1
1 2,0,1,0,0,0,0,0 1
0 1,2,1,0,1,1,0,0 1
2 1,0,0,2,0,0,0,0 1
1 2,0,1,0,1,0,0,0 1
0 1,1,2,0,2,1,0,0 1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0