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tHighLife

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tHighLife

Postby muzik » June 24th, 2016, 5:18 am

Just to keep the discussion seperate from the original tlife thread.

@RULE B36_S2-i34q

*** File autogenerated by saverule. ***


This is a two state, isotropic, non-totalistic rule on the Moore neighbourhood.
The notation used to define the rule was originally proposed by Alan Hensel.
See http://www.ibiblio.org/lifepatterns/neighbors2.html for details


@TABLE


n_states:2
neighborhood:Moore
symmetries:rotate4reflect

var a={0,1}
var b={0,1}
var c={0,1}
var d={0,1}
var e={0,1}
var f={0,1}
var g={0,1}
var h={0,1}

# Birth
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
0,1,1,1,1,1,1,0,0,1
0,1,1,1,1,1,0,1,0,1
0,1,1,1,1,0,1,1,0,1
0,1,1,1,1,0,1,0,1,1
0,1,1,1,0,1,1,1,0,1
0,1,1,0,1,1,1,0,1,1

# Survival
1,1,1,0,0,0,0,0,0,1
1,1,0,1,0,0,0,0,0,1
1,1,0,0,1,0,0,0,0,1
1,0,1,0,1,0,0,0,0,1
1,0,1,0,0,0,1,0,0,1
1,1,1,1,0,0,0,0,0,1
1,1,1,0,1,0,0,0,0,1
1,1,1,0,0,1,0,0,0,1
1,1,1,0,0,0,1,0,0,1
1,1,1,0,0,0,0,1,0,1
1,1,1,0,0,0,0,0,1,1
1,1,0,1,0,1,0,0,0,1
1,1,0,1,0,0,1,0,0,1
1,1,0,0,1,0,1,0,0,1
1,0,1,0,1,0,1,0,0,1
1,1,1,1,0,0,1,0,0,1

# Death
1,a,b,c,d,e,f,g,h,0


@COLORS

0 0 0 0
1 0 255 255

@ICONS

circles



The photons (yes, that refers to lightpseed ships, but I call any extremely common spaceship a photon) from tlife still work:

x = 11, y = 9, rule = B36_S2-i34q
bo$ob2o5b2o$2b2o4bobo$2b2o6bo4$7bo$6b3o!


as does the queen bee ship:

x = 7, y = 5, rule = B36_S2-i34q
2o3b2o2$o5bo$b2ob2o$2b3o!


Interestingly enough, there is an orthogonal replicator, which looks almost like HighLife's diagonal one:

x = 5, y = 3, rule = B36_S2-i34q
5o$5o$5o!



DisemiMWSS and the statorless rotating oscillator do not work in this:

x = 22, y = 18, rule = B36_S2-i34q
3o$3o$3bo3$19bo$17bo3bo$16bo$16bo$16b6o4$16b6o$16bo$16bo$17bo3bo$19bo!



I wonder, could someone make a 4c/11 orthogonal spaceship based on the replicator? We already have a c/6 diagonal spaceship based on HighLife's replicator...
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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Re: tHighLife

Postby BlinkerSpawn » June 24th, 2016, 10:47 am

Interesting pseudopuffer:
x = 12, y = 15, rule = B36_S2-i34q
5bo$5bo$b2o5b2o$4o3b4o$o9bo$4o3b4o$b2o5b2o$5bo$5bo4$7b5o$7b5o$7b5o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Re: tHighLife

Postby muzik » June 24th, 2016, 11:15 am

Psuedo-uhh, spaceship?

x = 9, y = 13, rule = B36_S2-i34q
5o$5o$5o6$4b3o$3bo3bo$2bo5bo$3bo3bo$4b3o!


and rake:

x = 10, y = 23, rule = B36_S2-i34q
4b3o$3bo3bo$2bo5bo$3bo3bo$4b3o6$5o$5o$5o6$4b3o$3bo3bo$2bo5bo$3bo3bo$4b
3o!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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Re: tHighLife

Postby muzik » June 26th, 2016, 9:15 am

Shuttle

x = 93, y = 3, rule = B36_S2-i34q
2o58b5o26b2o$2o58b5o26b2o$60b5o!



Can someobody seriously try to find a replicator based ship?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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Re: tHighLife

Postby AbhpzTa » June 26th, 2016, 9:50 am

4c/11 replicator-based p44 spaceship:
x = 72, y = 27, rule = B36_S2-i34q
8b2o$8b6o19b5o3b5o$2o4b4ob3o19b5o3b5o$bo3bo5b3o19b5o3b5o$bo3b3o3bo$2b
4o$2b2o2bo$2b3obo$3b2obo$5bo16bo$3b2o2bo12bob2o$19b2ob2o$18bobo14b5o
27b5o$17b3o15b5o27b5o$35b5o27b5o$10b2o4b3o24bo$9b2obo4b2o26bo$8b3obo$
8bo2bo10b3o$24b2o2bo$21bo2b2o2bo8b3o5b3o$22bo3b2o8bo3bo3bo3bo$21bobo
11bo5bobo5bo$21bo2b2o10bo3bo3bo3bo$20bo16b3o5b3o$21bo2bo$22b3o!


EDIT: 4c/11 replicator-based p44 block puffer:
x = 72, y = 24, rule = B36_S2-i34q
3bo$2bob2o$b2o3bo$4o2bo2$6bo$5bo16bo$4bo15bob2o$4b2o13b2ob2o$18bobo14b
5o27b5o$17b3o15b5o27b5o$35b5o27b5o$10b2o4b3o24bo$9b2obo4b2o26bo$8b3obo
$8bo2bo10b3o$24b2o2bo$21bo2b2o2bo8b3o5b3o$22bo3b2o8bo3bo3bo3bo$21bobo
11bo5bobo5bo$21bo2b2o10bo3bo3bo3bo$20bo16b3o5b3o$21bo2bo$22b3o!

p44 T siderake:
x = 64, y = 25, rule = B36_S2-i34q
14b3o$13bo2bo$12bo16b3o5b3o$13bo2b2o10bo3bo3bo3bo$13bobo11bo5bobo5bo$
14bo3b2o8bo3bo3bo3bo$13bo2b2o2bo8b3o5b3o$16b2o2bo$o2bo10b3o$3obo$b2obo
4b2o26bo$2b2o4b3o24bo$27b5o27b5o$9b3o15b5o27b5o$10bobo14b5o27b5o$11b2o
b2o$12bob2o$14bo5$19b5o11b5o$19b5o11b5o$19b5o11b5o!

p44 Sierpinski generator:
x = 129, y = 177, rule = B36_S2-i34q
14bo$12b2ob2o$12b2ob2o2$11bobobobo$10bo7bo$11bobobobo2$11bo5bo$11bo2bo
2bo$11bo5bo98bo$115bobo$11bobobobo96bo3bo$10bo7bo95bo3bo$11bobobobo96b
o3bo$115bobo$11bo5bo98bo$11bo2bo2bo$11bo5bo2$11bobobobo$10bo7bo$11bobo
bobo$22b3o$4bo6bo5bo3b2ob2o$2b2ob2o4bo2bo2bo3b2ob2o$2b2ob2o4bo5bo4bobo
2$bobobobo3bobobob4o5b2o$o7bobo$bobobobo3bobobobo4bobo$21b2ob2o$bo5bo
4b2ob2o4b2ob2o$bo2bo2bo4b2ob2o5b3o82bo$bo5bo6bo91b3o17bo$105b2ob2o15bo
bo$bobobobo32b3o61bobobobo13bo3bo$o7bo31b3o62b2ob2o14bo3bo$bobobobo32b
3o63b3o15bo3bo$40b3o64bo17bobo$2b2ob2o33b3o83bo$2b2ob2o14bo85bo$4bo15b
obo83b3o7bo$20bo66b3o15b2ob2o5bobo$21bo2bo15b3o44b3o14bobobobo3bo3bo$
20b2o2bo15b3o44b3o15b2ob2o4bo3bo$19bo5bo14b3o44b3o16b3o5bo3bo$12b2o6b
2o3b2o13b3o44b3o17bo7bobo$11b3o7b4obo13b3o73bo$11bo11b3o$12b2o112bo$
14bob2o107bobo$14bob2o106bo3bo$15b2o107bo3bo$109bo14bo3bo$108bo16bobo$
107b2o17bo$105bob3obo$17b2o31bo52b7obo$17bo31bobo50b2o3b3ob2o5bobo$18b
3o4bo4b3o15bo3bo50b2obobobo7bobo$18b3o3bobo3b3o15bo3bo51b5o8bo2bo$6bo
23b3o15bo3bo52b2o10b3o$4bo2b2o21b3o16bobo63b3obo$6bo23b3o17bo62b2obo$
79bo36b2o$78bobo32b3o$77bo3bo15b3o$30b3o7b3o34bo3bo15b3o$30b3o7b3o34bo
3bo3bo11b3o$30b3o7b3o35bobo16b3o12b2o$30b3o7b2o37bo6bo10b3o11bob2o$30b
3o7b3ob3o64b2obo$43b2o22bo11bo34bo$50bo15bobo9bobo30b3o8bobo$49bobo13b
o3bo7bo3bo5b3o31bo2bo$30b3o7b3o5bo3bo12bo3bo7bo3bo5b3o32bobo$30b3o7b3o
5bo3bo12bo3bo7bo3bo5b3o$14bobo13b3o7b3o5bo3bo13bobo9bobo6b3o$14bo2bo
12b3o7b3o6bobo15bo11bo7b3o$14bobo13b3o7b3o7bo$67bo$66bobo$50bo14bo3bo
27b3o$30b3o32bo3bo27b3o$30b3o17bo14bo3bo27b3o$30b3o17bobo2b2o9bobo12b
2o14b3o$30b3o17b3ob2obo9bo12bo16b3o$30b3o18bob2obo23bo$39bo12b2o24bo2b
2o$38bob2o33b2obo2b3o29b2o$37bob4o32bo3bo3bo6b2o21b3o$36bo2bob2o32bo4b
o2bo6b3o20b2o$37bo2b2obo32bob2obo$24b2o12bo3bo34bo11b3o$23b3o13bobo46b
obo$24b2o14bo17bo26b2ob2o$57b3o25b2obo$43bo12b2ob2o25bo$42b3o10bobobob
o$41bo2bob2o8b2ob2o$40bobo2bo11b3o$58bo25b2o$35bobo45bo2bo$35bo2bo45b
3o$35bobo29bo16b2o$66bobo14b2o9b2o9bo$65bo3bo24b3o7b2o$69bo24b2o9bo$
63bobo3bo$33bo29b2obobo$33b2o29b4o$33bo24bo$57b3o7bo$56b2ob2o5bobo$55b
obobobo3bo3bo$56b2ob2o4bo3bo$57b3o5bo3bo$58bo7bobo$45b2o20bo$44b3o$45b
2o$86bo9bo$57bo27b2o9b3o$52b8o26bo9bo$51bo6bo$42bo9bo3bobo$40b3o11b3o
11b2o$42bo23bo3bo$71bo$65bo3bob2o$65bo2b4o$66bo2b2o$67b3o$68bo$54bo$
54b2o8b3o$54bo8b2obo$62bobo2bo9bo10bo$62b2o3bo9b3o6b2o2bo$77bo10bo2$
50bo$48bo2b2o$50bo18b2o$69b2o$74bo$73bo2bo$74b2o3$63bo$61b3o$63bo$69bo
8bobo$67b2o2bo5bo2bo$69bo8bobo2$58bobo$58bo2bo$58bobo8b2o$69b2o9$69bo$
68bobo$67bobobo$67bo3bo$67bobobo$68bobo$69bo!



p22 shuttle:
x = 19, y = 5, rule = B36_S2-i34q
6bo2bo$5bo3bo$2o3bo2bobo6b2o$2o3bo3bo7b2o$6bo2bo!

p44 glider gun:
x = 61, y = 9, rule = B36_S2-i34q
2o38bo12b2o$bo36bobobo6b2obo$bobo33bo5bo9b2o$2b2o15b3o15bo2bo2bo$17bob
obobo13bo5bo$16b2o5b2o13bobobo14b2o$17bobobobo16bo16bobo$7b2o10b3o37bo
$59b2o!
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).
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Re: tHighLife

Postby muzik » June 27th, 2016, 6:30 am

Interesting reaction:

x = 9, y = 7, rule = B36_S2-i34q
8bo$7b2o$8bo2$o$2o$o!


Another interesting reaction:

x = 12, y = 14, rule = B36_S2-i34q
10b2o$10b2o4$b2o$o2bo$b2o4$b3o$3bo$2bo!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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Re: tHighLife

Postby muzik » June 13th, 2017, 3:40 am

Minimal shuttle:
x = 45, y = 3, rule = B36_S2-i34q
28b5o10b2o$2o26b5o10b2o$2o26b5o!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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Re: tHighLife

Postby BlinkerSpawn » June 13th, 2017, 8:40 am

muzik wrote:Minimal shuttle:
x = 45, y = 3, rule = B36_S2-i34q
28b5o10b2o$2o26b5o10b2o$2o26b5o!

Well, minimal width.
You can easily get shorter lengths by sacrificing width:
x = 33, y = 8, rule = B36/S2-i34q
2o29b2o$bo29bo$bobo25bobo$2b2o15b3o7b2o$17bobobobo$16b2o5b2o$17bobobob
o$7b2o10b3o!

x = 21, y = 11, rule = B36/S2-i34q
2o17b2o$bo17bo$bobo13bobo$2b2o13b2o$10b5o$10b5o$10b5o$2b2o13b2o$bobo
13bobo$bo17bo$2o17b2o!
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Re: tHighLife

Postby muzik » June 13th, 2017, 12:22 pm

Or if you just hate blocks:

x = 59, y = 57, rule = B36_S2-i34q
33b3o$31bobobobo$30b2o5b2o$o30bobobobo$33b3o9$55bo$54b3o2$53b2ob2o$53b
o3bo$53b2ob2o2$54b3o$55bo14$3bo$2b3o2$b2ob2o$bo3bo$b2ob2o2$2b3o$3bo9$
23b3o$21bobobobo30bo$20b2o5b2o$21bobobobo$23b3o!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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Re: tHighLife

Postby muzik » June 22nd, 2017, 6:05 pm

Collision that releases what collided to make it alongside ash:
x = 3, y = 11, rule = B36_S2-i34q
o$obo$2o6$bo$2o$bo!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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Re: tHighLife

Postby AbhpzTa » September 18th, 2017, 3:36 pm

Replicator-based (2,0)c/11 spaceship, p176 mod88:
x = 1580, y = 925, rule = B36/S2-i34q
1359b3o29b3o29b3o125b3o$1260bo63bo33bo3bo27bo3bo27bo3bo123bo3bo$1066bo
95bo31bo63bobobo59bobobo30bo5bo25bo5bo25bo5bo121bo5bo$491bo284bo63bo
31bo31bo31bo127bobobo91bobobo27bobobo60bo5bo57bo5bo30bo3bo27bo3bo27bo
3bo123bo3bo$488bo3bo89bo95bo31bo63bobobo59bobobo27bobobo27bobobo27bobo
bo124bo5bo89bo5bo25bo5bo59bo2bo2bo57bo2bo2bo31b3o29b3o29b3o125b3o$293b
o63bo31bo31bo31bo34bo2bo88bobobo91bobobo27bobobo60bo5bo57bo5bo25bo5bo
25bo5bo25bo5bo123bo2bo2bo89bo2bo2bo25bo2bo2bo59bo5bo57bo5bo$291bobobo
59bobobo27bobobo27bobobo27bobobo31bo3bo87bo5bo89bo5bo25bo5bo59bo2bo2bo
57bo2bo2bo25bo2bo2bo25bo2bo2bo25bo2bo2bo123bo5bo89bo5bo25bo5bo60bobobo
59bobobo$3bo95bo95bo31bo62bo5bo57bo5bo25bo5bo25bo5bo25bo5bo26b2o2b2o
90bo2bo2bo89bo2bo2bo25bo2bo2bo59bo5bo57bo5bo25bo5bo25bo5bo25bo5bo124bo
bobo91bobobo27bobobo63bo63bo233bo$bobobo91bobobo91bobobo27bobobo60bo2b
o2bo57bo2bo2bo25bo2bo2bo25bo2bo2bo25bo2bo2bo26b2o2b2o90bo5bo89bo5bo25b
o5bo60bobobo59bobobo27bobobo27bobobo27bobobo127bo95bo31bo363bobo$b2ob
2o90bo5bo89bo5bo25bo5bo59bo5bo57bo5bo25bo5bo25bo5bo25bo5bo23bo3bo95bob
obo91bobobo27bobobo63bo63bo31bo31bo31bo621b2o$2b3o91bo2bo2bo89bo2bo2bo
25bo2bo2bo60bobobo59bobobo27bobobo27bobobo27bobobo24bo2bo98bo95bo31bo$
96bo5bo89bo5bo25bo5bo62bo63bo31bo31bo31bo25bo3bo$97bobobo91bobobo27bob
obo250bo$99bo95bo31bo$o$obo$obo16$1338bo232b3o$1339bo233bo$1337b3o232b
o17$1482bo$1482bobo$1482b2o4$76b2o$76bobo$76bo17$1350bo208b3o$1351bo
209bo$1349b3o208bo17$1406bo$1406bobo$1406b2o4$152b2o$152bobo$152bo17$
1362bo184b3o$1363bo185bo$1361b3o184bo17$1330bo$1330bobo$1330b2o4$228b
2o$228bobo$228bo17$1374bo160b3o$1375bo161bo$1373b3o160bo17$1254bo$
1254bobo$1254b2o4$304b2o$304bobo$304bo17$1386bo136b3o$1387bo137bo$
1385b3o136bo17$1178bo$1178bobo$1178b2o4$380b2o$380bobo$380bo17$1398bo
112b3o$1399bo113bo$1397b3o112bo17$1102bo$1102bobo$1102b2o4$456b2o$456b
obo$456bo17$1410bo88b3o$1411bo89bo$1409b3o88bo17$1026bo$1026bobo$1026b
2o4$532b2o$532bobo$532bo17$1422bo64b3o$1423bo65bo$1421b3o64bo17$950bo$
950bobo$950b2o4$608b2o$608bobo$608bo17$1434bo40b3o$1435bo41bo$1433b3o
40bo17$874bo$874bobo$874b2o4$684b2o$684bobo$684bo17$1446bo16b3o$1447bo
17bo$1445b3o16bo17$798bo$798bobo$798b2o4$760b2o$760bobo$760bo17$1451b
3o4bo$1453bo5bo$1452bo4b3o17$722bo$722bobo$722b2o4$836b2o$836bobo$836b
o17$1439b3o28bo$1441bo29bo$1440bo28b3o17$646bo$646bobo$646b2o4$912b2o$
912bobo$912bo17$1427b3o52bo$1429bo53bo$1428bo52b3o17$570bo$570bobo$
570b2o4$988b2o$988bobo$988bo17$1415b3o76bo$1417bo77bo$1416bo76b3o17$
494bo$494bobo$494b2o4$1064b2o$1064bobo$1064bo17$1403b3o100bo$1405bo
101bo$1404bo100b3o17$418bo$418bobo$418b2o4$1140b2o$1140bobo$1140bo17$
1391b3o124bo$1393bo125bo$1392bo124b3o17$342bo$342bobo$342b2o4$1216b2o$
1216bobo$1216bo17$1379b3o148bo$1381bo149bo$1380bo148b3o17$266bo$266bob
o$266b2o4$1292b2o$1292bobo$1292bo17$1367b3o172bo$1369bo173bo$1368bo
172b3o17$190bo$190bobo$190b2o4$1368b2o$1368bobo$1368bo17$1355b3o196bo$
1357bo197bo$1356bo196b3o17$114bo$114bobo$114b2o4$1444b2o$1444bobo$
1444bo17$1343b3o220bo$1345bo221bo$1344bo220b3o17$38bo$38bobo$38b2o4$
1520b2o$1520bobo$1520bo16$51bo63bo31bo31bo31bo$49bobobo59bobobo27bobob
o27bobobo27bobobo1117b3o244bo$48bo5bo57bo5bo25bo5bo25bo5bo25bo5bo126bo
95bo31bo863bo245bo$48bo2bo2bo57bo2bo2bo25bo2bo2bo25bo2bo2bo25bo2bo2bo
124bobobo91bobobo27bobobo62bo63bo31bo31bo31bo637bo244b3o$48bo5bo57bo5b
o25bo5bo25bo5bo25bo5bo123bo5bo89bo5bo25bo5bo59bobobo59bobobo27bobobo
27bobobo27bobobo127bo95bo31bo$49bobobo59bobobo27bobobo27bobobo27bobobo
124bo2bo2bo89bo2bo2bo25bo2bo2bo58bo5bo57bo5bo25bo5bo25bo5bo25bo5bo124b
obobo91bobobo27bobobo63bo63bo31bo31bo31bo$51bo63bo31bo31bo31bo126bo5bo
89bo5bo25bo5bo58bo2bo2bo57bo2bo2bo25bo2bo2bo25bo2bo2bo25bo2bo2bo123bo
5bo89bo5bo25bo5bo60bobobo59bobobo27bobobo27bobobo27bobobo127bo$339bobo
bo91bobobo27bobobo59bo5bo57bo5bo25bo5bo25bo5bo25bo5bo123bo2bo2bo89bo2b
o2bo25bo2bo2bo59bo5bo57bo5bo25bo5bo25bo5bo25bo5bo124bobobo$341bo95bo
31bo62bobobo59bobobo27bobobo27bobobo27bobobo124bo5bo89bo5bo25bo5bo59bo
2bo2bo57bo2bo2bo25bo2bo2bo25bo2bo2bo25bo2bo2bo123bo5bo$534bo63bo31bo
31bo31bo127bobobo91bobobo27bobobo60bo5bo57bo5bo25bo5bo25bo5bo25bo5bo
123bo2bo2bo95b3o29b3o61b3o61b3o$824bo95bo31bo63bobobo59bobobo27bobobo
27bobobo27bobobo124bo5bo94bo3bo27bo3bo59bo3bo59bo3bo$1018bo63bo31bo31b
o31bo127bobobo94bo5bo25bo5bo57bo5bo57bo5bo$1308bo97bo3bo27bo3bo59bo3bo
59bo3bo$1407b3o29b3o61b3o61b3o!

Replicator-based (4,0)c/33 spaceship, p132 mod66:
x = 370, y = 165, rule = B36/S2-i34q
148b3o13b3o13b3o13b3o149b3o13b3o$147bo3bo11bo3bo11bo3bo11bo3bo49bo15bo
81bo3bo11bo3bo$146bo5bo9bo5bo9bo5bo9bo5bo46bobobo11bobobo78bo5bo9bo5bo
$147bo3bo11bo3bo11bo3bo11bo3bo46bo5bo9bo5bo78bo3bo11bo3bo$148b3o13b3o
13b3o13b3o47bo2bo2bo9bo2bo2bo79b3o13b3o$246bo5bo9bo5bo23bo$247bobobo
11bobobo22bobo$249bo15bo25b2o2$123b3o13b3o225b3o$122bo3bo11bo3bo226bo$
121bo5bo9bo5bo224bo$34b3o13b3o69bo3bo11bo3bo$33bo3bo11bo3bo69b3o13b3o$
32bo5bo9bo5bo$33bo3bo11bo3bo$34b3o13b3o142bo$195bobo$195b2o13$23b3o$
23bo$24bo5$309bo$307bobo$308b2o2$350b3o$352bo$351bo5$146bo$146bobo$
146b2o13$72b3o$72bo$73bo5$326bo$324bobo$325b2o2$333b3o$335bo$334bo5$
97bo$97bobo$97b2o13$121b3o$121bo$122bo5$343bo$341bobo$342b2o2$316b3o$
318bo$317bo5$48bo$48bobo$48b2o13$170b3o$170bo$171bo5$360bo$358bobo$
359b2o2$299b3o$301bo$300bo3$3b3o$2ob2obo2bo$7o3bo55b3o$2bob2o59bo3bo$
4b2o58bo5bo$5bo2b2o55bo3bo21b3o29b3o$5b5o56b3o21bo3bo27bo3bo11b2o$8b2o
79bo5bo25bo5bo9b2o$90bo3bo27bo3bo10b2o2bo$91b3o29b3o11b3obo$139bo$132b
o83b2o63bo$141bo72b2o3bo59bobobo$134bo82bo2bo57bo5bo$132bob3o43b3o29b
2obo4bo57bo2bo2bo31b3o29b3o$132bo2b2o42bo3bo27b2obo4b2o57bo5bo30bo3bo
27bo3bo$135b2o41bo5bo25b2o67bobobo30bo5bo25bo5bo$134b2o43bo3bo97bo33bo
3bo27bo3bo$180b3o133b3o29b3o!

Replicator-based (4,0)c/55 spaceship, p110 mod55:
x = 369, y = 176, rule = B36/S2-i34q
4b3o45b3o$3bo3bo43bo3bo$8bo41bo5bo$5bo45bo3bo$bobo3bo44b3o$o4b2o$2bo2$
61b3o13b3o$60bo3bo11bo3bo$59bo5bo9bo5bo$60bo3bo11bo3bo$61b3o13b3o3$
329bo35bo$118b3o13b3o183b3o4bo2b2ob3o27bobobo$117bo3bo11bo3bo115bo65bo
3bo7b2ob2o26bo5bo$116bo5bo9bo5bo112bobobo62bo5bobo3bobo29bo2bo2bo$117b
o3bo11bo3bo97b2o6b2o5bo5bo62bo3bo7b2ob2o26bo5bo$118b3o13b3o97b3o6b2o5b
o2bo2bo63b3o4bo2b2ob3o27bobobo$233b2o9bo5bo5bo23bo48bo35bo$233b2o16bob
obo22bobo$253bo25b2o$159b3o13b3o60bo4bo$158bo3bo11bo3bo17bo15bo15bo$
157bo5bo9bo5bo14bobobo11bobobo11bobobo16b2o$158bo3bo11bo3bo14bo5bo9bo
5bo9bo5bo5bo9b2o$159b3o13b3o15bo2bo2bo9bo2bo2bo9bo2bo2bo5b2o6b3o119bo$
193bo5bo9bo5bo9bo5bo5b2o6b2o120b2o$194bobobo11bobobo11bobobo135bobo$
37bo158bo15bo15bo$36b2o$36bobo12$161bo$160bo$160b3o$299bo$300bo$298b3o
6$347b2o$348b2o$347bo$72b2o$71b2o$73bo12$125bo$125bobo$125b2o$319bo$
317bobo$318b2o5$328bo$328b2o$327bobo$108bo$107b2o$107bobo12$90bo$89bo$
89b3o$338bo$339bo$337b3o6$308b2o$309b2o$308bo$143b2o$142b2o$144bo12$
54bo$54bobo$54b2o$358bo$356bobo$357b2o5$289bo$289b2o$288bobo$179bo$
178b2o$178bobo$220bo7bo$218bobobo3bobobo$217bo5bobo5bo$151b3o5b3o55bo
2bo2bobo2bo2bo$150bo3bo3bo3bo54bo5bobo5bo$149bo5bobo5bo54bobobo3bobobo
$150bo3bo3bo3bo57bo7bo$151b3o5b3o$261bo7bo$259bobobo3bobobo$258bo5bobo
5bo64bo11bo$19bo74b3o5b3o5b3o5b3o5b3o5b3o121bo2bo2bobo2bo2bo23b3o5b3o
21b3o4b3o9bobobo$18bo74bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo120bo5bobo5b
o22bo3bo3bo3bo19bo3bo11b2obo5bo$18b3o71bo5bobo5bobo5bobo5bobo5bobo5bo
120bobobo3bobobo22bo5bobo5bo17bo5bobo2bo4b3obo2bo2bo$93bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo123bo7bo25bo3bo3bo3bo19bo3bo11b2obo5bo$94b3o5b3o
5b3o5b3o5b3o5b3o159b3o5b3o21b3o4b3o9bobobo$337bo11bo3$69b3o5b3o5b3o5b
3o$68bo3bo3bo3bo3bo3bo3bo3bo$67bo5bobo5bobo5bobo5bo$68bo3bo3bo3bo3bo3b
o3bo3bo$69b3o5b3o5b3o5b3o4$28b3o5b3o5b3o5b3o$27bo3bo3bo3bo3bo3bo3bo3bo
$26bo5bobo5bobo5bobo5bo$27bo3bo3bo3bo3bo3bo3bo3bo$28b3o5b3o5b3o5b3o!


EDIT:
Replicator-based (4,0)c/55 spaceship, p55 mod55:
x = 209, y = 91, rule = B36/S2-i34q
170b3o5b3o13b3o5b3o$135bo7bo25bo3bo3bo3bo11bo3bo3bo3bo$133bobobo3bobob
o22bo5bobo5bo9bo5bobo5bo$132bo5bobo5bo22bo3bo3bo3bo11bo3bo3bo3bo$132bo
2bo2bobo2bo2bo23b3o5b3o13b3o5b3o$59b3o13b3o5b3o46bo5bobo5bo7bo$58bo3bo
11bo3bo3bo3bo41bo4bobobo3bobobo6bobo52bo$57bo5bo9bo5bobo5bo9b2o27bobob
o4bo7bo9b2o52b2o$27b3o28bo3bo11bo3bo3bo3bo11b2obo4b2o17bo5bo74bobo$26b
o3bo6b2o20b3o13b3o5b3o13b2obo4bo17bo2bo2bo$25bo5bo4b3o65bo2bo17bo5bo$
26bo3bo5bo64b2o3bo19bobobo$27b3o73b2o23bo$50b3o$35bo13bo3bo$33b3o12bo
5bo$33b2o14bo3bo$50b3o$90bo$88b2o72bobo$89b2o72b2o32b2o$163bo32bobo$
198bo4$23b3o$23bo$24bo4$71bo101bo$71bobo100bo$71b2o99b3o12b2o$188b2o$
187bo3$42bo$41b2o$41bobo5$53bobo126bo$53b2o128b2o$54bo122b3o2b2o$179bo
$178bo3$59b2o$59bobo$59bo4$36bo$35bo157bo$35b3o130bo22bobo$168b2o22b2o
$167bobo4$77b2o$76b2o$78bo4$19bo$17b2o182bobo$18b2o138b2o42b2o$157bobo
42bo$32bo2bo3bo2bo116bo$32bo2bo3bo2bo$o31b2obo4bo2bo$o38bo2bo$bo37bo2b
o51b3o$9bo2bo3bo2bo5bo2bo65bo$9bo2bo3bo2bo5bo2bo66bo16bo15bo7bo15bo$8b
o2bo5bo2bo3bo2bo4bob2o75bobo13bobo5bobo13bob2o$9bo2bo3bo2bo5bo2bo3bo2b
o29bo2bo41b5o11b5o3b5o11b3ob2o$9bo2bo3bo2bo5bo2bo3bo2bo29bo2bo40b2o3b
2o9b2o3b2ob2o3b2o9b2o3bobo$64bo2bo8bobo11b5o15b5o11b5o3b5o11bo3bo2b2o
19b5o3b5o3b5o$65bo2bo7bobo11b5o16bobo13bobo5bobo20bo19b5o3b5o3b5o$65bo
2bo7bobo11b5o17bo15bo7bo21bo19b5o3b5o3b5o$154b2o!


EDIT 2:
Replicator-based (12,0)c/77 spaceship, p77 mod77:
x = 495, y = 185, rule = B36/S2-i34q
87b5o27b5o3b5o3b5o11b5o3b5o$87b5o27b5o3b5o3b5o11b5o3b5o$87b5o27b5o3b5o
3b5o11b5o3b5o5$384b2o$192b5o3b5o3b5o3b5o11b5o19b5o49bo15bo23bo7bo7bo
21bo35b5o3b5o2bo3b2o$192b5o3b5o3b5o3b5o11b5o19b5o11bo36bobo13bobo21bob
o5bobo5bobo20bo35b5o3b5o4b3o$192b5o3b5o3b5o3b5o11b5o19b5o10bo2bo33b5o
11b5o19b5o3b5o3b5o11bo3bo2b2o35b5o3b5o$270b2o3bo31b2o3b2o9b2o3b2o17b2o
3b2ob2o3b2ob2o3b2o9b2o3bobo$270b2o3bo32b5o11b5o19b5o3b5o3b5o11b3ob2o$
269b3o3bo33bobo13bobo21bobo5bobo5bobo13bob2o78b5o11b5o3b5o$310bo15bo
23bo7bo7bo15bo57b3o20b5o11b5o3b5o$439b2o3bo18b5o11b5o3b5o$81b3o$81bo$
82bo$492b3o$494bo$493bo4$386bo$387bo$385b3o$244bo$242b2o$243b2o5$113b
2o$112b2o$114bo$485b2o$486b2o$485bo5$392bobo$393b2o$212bo180bo$211bo$
211b3o5$144b2o$144bobo$144bo$478b2o$477bobo$479bo5$401bo$399bobo$400b
2o$180bobo$180b2o$181bo4$176bo$175b2o$175bobo$471bo$471b2o$470bobo5$
407bo$408b2o$407b2o$149bo$149bobo$149b2o5$206b3o$206bo$207bo$463b3o$
465bo$464bo4$415bo$416bo$414b3o$119bo$117b2o$118b2o5$238b2o$237b2o$
239bo$456b2o$457b2o$456bo5$421bobo$422b2o$87bo334bo$86bo$86b3o5$269b2o
$269bobo$269bo$449b2o$448bobo$450bo5$430bo$428bobo$429b2o$55bobo$55b2o
$56bo4$301bo$300b2o$300bobo$442bo$442b2o$441bobo5$436bo$437b2o$181b3o
21b3o45b3o13b3o164b2o$24bo155bo3bo19bo3bo43bo3bo11bo3bo$24bobo152bo5bo
17bo5bo41bo5bo9bo5bo54b2o39bo7bo31bo15bo7bo$24b2o154bo3bo19bo3bo43bo3b
o11bo3bo53b2o3bo35bobobo3bobobo27bobobo11bobobo3bobobo$181b3o21b3o45b
3o13b3o57bo2bo33bo5bobo5bo25bo5bo9bo5bobo5bo$142b3o5b3o5b3o5b3o123b3o
5b3o5b3o13b2obo4bo33bo2bo2bobo2bo2bo25bo2bo2bo9bo2bo2bobo2bo2bo$141bo
3bo3bo3bo3bo3bo3bo3bo121bo3bo3bo3bo3bo3bo11b2obo4b2o33bo5bobo5bo25bo5b
o9bo5bobo5bo$140bo5bobo5bobo5bobo5bo119bo5bobo5bobo5bo9b2o43bobobo3bob
obo27bobobo11bobobo3bobobo$141bo3bo3bo3bo3bo3bo3bo3bo121bo3bo3bo3bo3bo
3bo57bo7bo31bo15bo7bo$142b3o5b3o5b3o5b3o123b3o5b3o5b3o$71b3o5b3o13b3o
5b3o$70bo3bo3bo3bo11bo3bo3bo3bo$69bo5bobo5bo9bo5bobo5bo$70bo3bo3bo3bo
11bo3bo3bo3bo$71b3o5b3o13b3o5b3o$32b3o29b3o$31bo3bo27bo3bo$30bo5bo25bo
5bo$31bo3bo27bo3bo$b2o29b3o29b3o$obo$bobo$2b2o!


EDIT 3:
Replicator-based (2,0)c/33 spaceship, p132 mod132:
x = 415, y = 89, rule = B36/S2-i34q
2bo$bobo3$o2bo$2bo$39bo15bo$37bobobo11bobobo$36bo5bo9bo5bo$36bo2bo2bo
9bo2bo2bo$36bo5bo9bo5bo$37bobobo11bobobo4bo23bo$9bo29bo15bo4bobobo19bo
bobo$8b4o47bo5bo17bo5bo279b3o29b3o$8bo2bo47bo2bo2bo17bo2bo2bo277bobobo
bo25bobobobo$9b2o48bo5bo17bo5bo13bo7bo7bo7bo238b2o5b2o23b2o5b2o$60bobo
bo19bobobo12bobobo3bobobo3bobobo3bobobo237bobobobo25bobobobo$62bo23bo
13bo5bobo5bobo5bobo5bo238b3o29b3o$100bo2bo2bobo2bo2bobo2bo2bobo2bo2bo
23b3o5b3o37b3o13b3o13b3o37b3o5b3o5b3o13b3o13b3o13b3o21b3o$100bo5bobo5b
obo5bobo5bo21bobobob3obobobo33bobobobo9bobobobo9bobobobo33bobobob3obob
ob3obobobo9bobobobo9bobobobo9bobobobo17bobobobo45b2o$101bobobo3bobobo
3bobobo3bobobo21b2o5bobo5b2o31b2o5b2o7b2o5b2o7b2o5b2o31b2o5bobo5bobo5b
2o7b2o5b2o7b2o5b2o7b2o5b2o15b2o5b2o43bo2bo$103bo7bo7bo7bo24bobobob3obo
bobo33bobobobo9bobobobo9bobobobo33bobobob3obobob3obobobo9bobobobo9bobo
bobo9bobobobo17bobobobo45b2o$154b3o5b3o37b3o13b3o13b3o37b3o5b3o5b3o13b
3o13b3o13b3o21b3o$369b3o29b3o$138bo228bobobobo25bobobobo$136b2o228b2o
5b2o23b2o5b2o$25bo111b2o228bobobobo25bobobobo$24b2o343b3o29b3o$24bobo
13$112bobo$112b2o$41b2o70bo$40b2o$42bo12$97bo$95b2o$66bo29b2o$65b2o$
65bobo9$335b2o$311bobobobobobobobo8bo2bo$305bo2bo19bo2bo3b2o$73bo231bo
2bo19bo2bo$71b4o229bo2bo21bo2bo$70b2o2bo230bo2bo19bo2bo$70bob3o45bobob
obo41bobobobo33bobobobobobobobo82bo2bo19bo2bo$66bo3b3obo23bo2bo3bo2bo
5bo2bo11bo2bo29bo2bo11bo2bo5bo2bo3bo2bo5bo2bo19bo2bo37bo2bo3bo2bo34bob
obobobobobobo15b3o$66bo2b7o22bo2bo3bo2bo5bo2bo11bo2bo29bo2bo11bo2bo5bo
2bo3bo2bo5bo2bo19bo2bo37bo2bo3bo2bo61bo2b3o$65bo2bobob2o2bo20bo2bo5bo
2bo3bo2bo13bo2bo27bo2bo13bo2bo3bo2bo5bo2bo3bo2bo21bo2bo35bo2bo5bo2bo
64bobo$66bo2bo3bo2bo21bo2bo3bo2bo5bo2bo11bo2bo29bo2bo11bo2bo5bo2bo3bo
2bo5bo2bo19bo2bo37bo2bo3bo2bo61bo2b3o$66bo2bo3bo2bo21bo2bo3bo2bo5bo2bo
11bo2bo29bo2bo11bo2bo5bo2bo3bo2bo5bo2bo19bo2bo37bo2bo3bo2bo34bobobobob
obobobo15b3o$120bobobobo41bobobobo33bobobobobobobobo82bo2bo19bo2bo$
305bo2bo19bo2bo$304bo2bo21bo2bo$305bo2bo19bo2bo$305bo2bo19bo2bo3b2o$
311bobobobobobobobo8bo2bo$335b2o!

p352 (4,0)c/11 repship gun:
x = 204, y = 359, rule = B36/S2-i34q
200b2o$200b2o119$201bo$199b2ob2o2$201bo$199b2ob2o4$199b2ob2o$201bo2$
199b2ob2o$201bo32$57bo31bo$55bobobo27bobobo$54bo5bo25bo5bo$11b2o41bo2b
o2bo25bo2bo2bo$11b2o41bo5bo25bo5bo$55bobobo27bobobo$57bo31bo15$30bo63b
o$28bobobo59bobobo$27bo5bo57bo5bo$2o25bo2bo2bo57bo2bo2bo$2o25bo5bo57bo
5bo$28bobobo59bobobo$30bo63bo35$201bo$199b2ob2o2$201bo$199b2ob2o4$199b
2ob2o$201bo2$199b2ob2o$201bo119$200b2o$200b2o!


EDIT 4: p22 glider gun:
x = 32, y = 28, rule = B36/S2-i34q
16b2o$16b2o7$17bo$15b2ob2o$17bo2$15bo3bo$16b3o$8b3ob2o$2o6bobobobo$2o
6b3ob2o3$20bo$19bob2o7b2o$10b3o5bo3bo3bo4bo$9b2obo6bob2o$10b3o7bo5bo$
2b2o$bobo$bo$2o!
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).
AbhpzTa
 
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