Non-monotonic spaceships

For discussion of other cellular automata.
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lukebradford
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Non-monotonic spaceships

Post by lukebradford » August 6th, 2015, 1:50 pm

Non-monotonic spaceships in Life include the 13-engine Cordership, non-monotonic spaceship 1, 233P3H1V0, and the weekender. Anybody have some cool examples in other rules?

In Live Free or Die, there are several p10 and p5 c/5 non-monotonic spaceships with the same front-end mechanism, the decade ship (below) and quintessential ships:

Code: Select all

x = 49, y = 18, rule = s0/b2
34bo$35bo$23bo23bo$3bo9bo15bobo16bo$6bo9bo7bob2obo6bo$obo6bo3bo9bo3bo
3bo13bo2bo$4b2o3bo3b2o5bo2b2o7b2o2b2o6b2obo$3bo2bo3b3obob3o8bobo6bo6bo
$2bo24bo3bo7bo$2bo24bo3bo7bo$3bo2bo3b3obob3o8bobo6bo6bo$4b2o3bo3b2o5bo
2b2o7b2o2b2o6b2obo$obo6bo3bo9bo3bo3bo13bo2bo$6bo9bo7bob2obo6bo$3bo9bo
15bobo16bo$23bo23bo$35bo$34bo!

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velcrorex
Posts: 339
Joined: November 1st, 2009, 1:33 pm

Re: Non-monotonic spaceships

Post by velcrorex » August 6th, 2015, 6:05 pm

Here's non-monotonic c/15 in B36/S345

Code: Select all

x = 11, y = 6, rule = B36/S345
4bobo$3b2ob2o$2b2o3b2o$o3bobo3bo$bob5obo$o2bobobo2bo!
Don't forget this 2c/6 non-monotonic in Life.

Code: Select all

x = 26, y = 22
19bo$16bobobo$5b3o7b4o$5boo11bo$7bobbobbobobo3bo$4b3obo4bobobobboo3bo$
4bo3bobobo11bo$7boboobo9bobo$b3obboobo10bobobo$obbob3obo9b3o$3bo5bo9b
3o$3bo5bo9b3o$obbob3obo9b3o$b3obboobo10bobobo$7boboobo9bobo$4bo3bobobo
11bo$4b3obo4bobobobboo3bo$7bobbobbobobo3bo$5boo11bo$5b3o7b4o$16bobobo$
19bo!
-Josh Ball.

Bullet51
Posts: 571
Joined: July 21st, 2014, 4:35 am

Re: Non-monotonic spaceships

Post by Bullet51 » August 6th, 2015, 10:37 pm

Code: Select all

x = 11, y = 43, rule = B35/S0245
bo7bo$5bo$b9o$3bo3bo$b2obobob2o$o9bo$bo2bobo2bo$o2bo3bo2bo$b3o3b3o$2bo
bobobo$2bo2bo2bo$3b5o$4bobo2$4b3o2$4b3o2$4b3o$5bo$2b7o$4bobo$4b3o$4b3o
$4bobo$3b5o$2bo2bo2bo$3b2ob2o$5bo$2bo5bo$3b2ob2o$3bobobo$2bob3obo$4b3o
$3bo3bo$2bo5bo$2b3ob3o$3bobobo$b3o3b3o$2ob5ob2o$2o7b2o$b4ob4o$3b5o!

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x = 19, y = 21, rule = B345/S27
9bo2$6b2o3b2o2$4bo2b2ob2o2bo$5b3o3b3o$7b2ob2o$6b3ob3o$6b3ob3o$3b4obobo
b4o$2b4o2bobo2b4o$b3o2b3ob3o2b3o$2bo5b3o5bo$3bo3bobobo3bo$4bo2b5o2bo$b
2ob4obob4ob2o$o3b3o5b3o3bo$b7obob7o$3bobo7bobo$3bobo7bobo$2b5o5b5o!

Code: Select all

x = 23, y = 33, rule = B346/S01
7bo7bo$8b2obob2o$7bobo3bobo$6b3o5b3o$5bo2bo5bo2bo$6b3o5b3o$5bobo7bobo$
11bo$4bobobobobobobobo$4bobo4bo4bobo$4bob2o7b2obo$8bobobobo$6bob2o3b2o
bo2$2bob3o3bobo3b3obo$3b2ob2o7b2ob2o$5b2obo5bob2o$5b2obo5bob2o$4bo13bo
$4bo13bo$6b2obo3bob2o$3bo2bo9bo2bo$6bobo5bobo$4b2o11b2o$8bobobobo$5bo
2bobobobo2bo$4bob3obobob3obo$4b2o4bobo4b2o$o3bobo4bo4bobo3bo$2bo3bob3o
b3obo3bo$7bo3bo3bo$8bo5bo$10b3o!

Code: Select all

x = 13, y = 28, rule = B378/S35678
4bobobo$2b2o2bo2b2o$4b5o$3bob3obo$2bo2b3o2bo$2b2ob3ob2o$2bob5obo$3b2o
3b2o$3b2o3b2o$6bo$5bobo2$4b5o$5b3o$4b5o$5b3o$3bo2bo2bo$3bo2bo2bo$bo2b
5o2bo$5b3o$b3ob3ob3o$bo2b5o2bo$o4b3o4bo$3o3bo3b3o$3ob2ob2ob3o$bobobobo
bobo$3b3ob3o$3b7o!

Code: Select all

x = 15, y = 11, rule = B345/S3
2b5ob5o$3o2b5o2b3o$bo4bobo4bo$o4b2ob2o4bo$bo4bobo4bo$2o3bobobo3b2o$4b
3ob3o$bo2bobobobo2bo$3b3o3b3o$3b2o5b2o$4b7o!

Code: Select all

x = 15, y = 41, rule = B346/S3
7bo$5b2ob2o$5bo3bo$4b3ob3o$4b2obob2o$4bo5bo2$4b7o2$4b2obob2o2$3bob2ob
2obo2$2bob2o3b2obo2$bobob5obobo2$b5obob5o2$bo2bo5bo2bo$b4obobob4o$o4bo
3bo4bo$4b7o$ob2o2bobo2b2obo$2bo4bo4bo$obobobobobobobo$o3bo2bo2bo3bo$3b
obo3bobo$b2o3bobo3b2o$2b4o3b4o$5bobobo$3b2obobob2o$3b2o5b2o$2bobobobob
obo$3b4ob4o$bobobo3bobobo$5bo3bo$4b2obob2o$6bobo$4b3ob3o$7bo!

Code: Select all

x = 9, y = 78, rule = B34678/S3578
2bo3bo$2bobobo$b7o$3b3o$b3ob3o$b7o$2b5o$2bobobo$4bo$3bobo$3bobo$bobobo
bo$3b3o$2o5b2o$b7o$o2bobo2bo$bobobobo$bobobobo$3o3b3o$2bo3bo$2obobob2o
$3b3o2$ob5obo$2b5o$2obobob2o$bo5bo$bobobobo$2b5o$2bobobo2$bobobobo$4bo
$2o5b2o$3bobo$b2o3b2o$3b3o$b2o3b2o$2b2ob2o$bob3obo$4bo$2bobobo$bo5bo$
2o2bo2b2o$4bo$obobobobo$bob3obo$3b3o$2b5o$b3ob3o$3bobo$2b5o$4bo$4bo$bo
5bo$3bobo$ob5obo$4bo$ob2ob2obo$2bobobo$bob3obo$4bo$b2obob2o2$2b5o$ob5o
bo$4bo$bo2bo2bo$bobobobo$2b2ob2o$3o3b3o$bo2bo2bo$3o3b3o$3bobo$bo5bo$2b
5o$b3ob3o$2bobobo!

Code: Select all

x = 17, y = 20, rule = B34/S26
4b2obobob2o$3b3o5b3o$3b2o3bo3b2o$6b5o$3b3o2bo2b3o$7b3o$2b2ob7ob2o$b3o
2b2ob2o2b3o$bobo2b5o2bobo$b2o3b5o3b2o$2bob3o3b3obo$o2b2obo3bob2o2bo$2b
o2b2o3b2o2bo$b3ob2o3b2ob3o$bobob7obobo$5bo5bo$2bo2b3ob3o2bo$4b4ob4o$7b
obo$8bo!

Code: Select all

x = 10, y = 45, rule = B3567/S3678
3bo2bo$2bob2obo$2b6o$2b6o$3b4o$2b6o$ob6obo$3b4o$2b6o$2b6o$bob4obo$3b4o
$2b6o$2b6o$2b6o$3b4o$bo6bo$2b6o$3bo2bo$4b2o$2bo4bo2$b3o2b3o$2b2o2b2o$b
2ob2ob2o$4b2o$2bo4bo$3bo2bo$3bo2bo$2bo4bo$obo4bobo$2bo4bo$3bo2bo$3b4o$
3b4o$2bob2obo$3bo2bo$b3o2b3o$b8o2$b8o2$2b6o$3bo2bo$4b2o!

Code: Select all

x = 9, y = 53, rule = B357/S1357
3bobo$2b2ob2o$3bobo$bobobobo$b2obob2o2$2bo3bo$bobobobo$bo5bo$3bobo$3b
3o3$3b3o2$4bo$2b5o$b2obob2o2$3bobo$3b3o$2bo3bo$2b2ob2o$3b3o$3b3o$3b3o$
3b3o$2b2ob2o$2b2ob2o$3b3o$2b2ob2o$3b3o$3bobo$3b3o2$4bo$bo2bo2bo$o2b3o
2bo$ob5obo2$obobobobo$2ob3ob2o$bo5bo$2b2ob2o$o7bo$b3ob3o$b2obob2o$3bob
o$4bo$2bo3bo$3bobo$2bo3bo$b7o!

Code: Select all

x = 11, y = 27, rule = B358/S135
bo7bo$2bo5bo$2obo3bob2o$b2o5b2o$3bo3bo$2bo5bo$2bobobobo$bo2bobo2bo$bob
2ob2obo$bo2b3o2bo$2b2o3b2o$4bobo$3b2ob2o$2b2o3b2o$3b2ob2o$3b2ob2o$3bo
3bo2$2b3ob3o$3b2ob2o$2b2obob2o2$bobo3bobo$b4ob4o$2bo2bo2bo$4bobo$5bo!

Code: Select all

x = 8, y = 41, rule = B368/S245
2bo$bobo2$2bo$2bo$bobobo$b4o$b2ob3o$3b3o$3bobo$bob3o$6b2o$2b2o$3bobobo
$4bobo$5bo$3bobo$2bo$2obo$b4o$2bo$2bobob2o$2bo2bo$3bob2o$bo3b2o$bo2b3o
$4b2o$2bo$b3o2$2b2o$4bo$3bo$b2obo2$o2b2o$bo4bo$3b2o$2o2bo$2bobo$2bobo!

Code: Select all

x = 13, y = 30, rule = B378/S35678
b3o5b3o$2bobo3bobo$3bo5bo$b4o3b4o$b5ob5o$2b3o3b3o$2b3o3b3o$b4o3b4o$b3o
bobob3o$5o3b5o$b3obobob3o$2b3o3b3o$3b2obob2o$2ob2o3b2ob2o$3b2o3b2o$bob
3ob3obo$3b2o3b2o$6bo$4bo3bo$4b2ob2o2$4bo3bo$6bo$5b3o$2bob5obo$2o3b3o3b
2o$obob5obobo$b3ob3ob3o$b2ob5ob2o$3b7o!

Code: Select all

x = 13, y = 50, rule = B3/S235
2bobo3bobo$b3o5b3o$b3o5b3o$b2o7b2o$2bo7bo$2bobo3bobo$5bobo$4bo3bo$4b2o
b2o$4b2ob2o$b3obobob3o$b3obobob3o$4b2ob2o$5bobo2$2o9b2o$b4o3b4o$2b2obo
bob2o$5bobo$2b2obobob2o$bo3bobo3bo$bo3bobo3bo$o2bo5bo2bo$bo4bo4bo$2bo
7bo$2o3b3o3b2o$bob7obo$2obo5bob2o$obob5obobo$bo2bobobo2bo$4bobobo$3bo
2bo2bo$6bo$4bo3bo$bo3bobo3bo$obo2bobo2bobo$bo3bobo3bo$2bobo3bobo$6bo2$
5b3o2$3bo5bo$3b2o3b2o2$4bo3bo$3bobobobo$2bo7bo2$3b3ob3o!

Code: Select all

x = 12, y = 27, rule = B35/S0246
$3bob2obo$b3ob2ob3o$2bo2b2o2bo$2b2o4b2o$3b2o2b2o$b4o2b4o$2b2o4b2o$b3o
4b3o$2b2o4b2o$3b6o$3bo4bo$2bobo2bobo$b2obo2bob2o$3bo4bo$4b4o$5b2o$4b4o
$5b2o$5b2o2$bo2b4o2bo$4b4o$4bo2bo$4bo2bo$4bo2bo$5b2o!
EDIT:

Code: Select all

x = 13, y = 9, rule = B35/S3468
2bo7bo$6bo$2o3bobo3b2o$b4o3b4o$bobobobobobo$2ob7ob2o$b3ob3ob3o$b2obobo
bob2o$4b5o!

Code: Select all

x = 8, y = 10, rule = B35/S3468
2b4o$3b2o$2b4o$b6o$2bo2bo$b2o2b2o$obo2bobo$2b4o$2b4o$2b4o!

Code: Select all

x = 12, y = 9, rule = B35/S3468
2bo6bo$bob2o2b2obo$o2b2o2b2o2bo$b2o2b2o2b2o$2b8o$b2ob4ob2o$2b2ob2ob2o$
5b2o$4b4o!

Code: Select all

x = 5, y = 8, rule = B3/S023
2ob2o2$o3bo2$2bo2$2bo$b3o!

Code: Select all

x = 16, y = 24, rule = B37/S25678
7b2o2$6b4o2$7b2o$3bo3b2o3bo$4b8o$4b8o$3b10o$2b2ob6ob2o$bo2b8o2bo$2b3o
2b2o2b3o$b4o2b2o2b4o$4bo2b2o2bo$bo2b2ob2ob2o2bo$2ob3ob2ob3ob2o$3o2bob
2obo2b3o$2b2o2b4o2b2o$6b4o$3bobob2obobo$3bob6obo$3bo8bo$4bobo2bobo$6b
4o!
Still drifting.

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lukebradford
Posts: 100
Joined: October 11th, 2013, 8:07 pm
Location: Cambridge, MA
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Re: Non-monotonic spaceships

Post by lukebradford » August 10th, 2015, 8:17 am

@velcrorex, this one...

Code: Select all

x = 11, y = 6, rule = B36/S345
4bobo$3b2ob2o$2b2o3b2o$o3bobo3bo$bob5obo$o2bobobo2bo!
...falls back by three cells before moving forward again. Is that the "most non-monotonic" spaceship currently known?

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Scorbie
Posts: 1540
Joined: December 7th, 2013, 1:05 am

Re: Non-monotonic spaceships

Post by Scorbie » August 10th, 2015, 8:21 am

There's codeholic's quasinatural c/98 spaceship that recedes 4 cells:

Code: Select all

x = 15, y = 15, rule = B36/S23
7bo$7bo3$3bo7bo$2bobo5bobo$b2o9b2o$b2o3bobo3b2o$b2o2b5o2b2o$bob2obobob
2obo$bob2o5b2obo$2b3o5b3o$b2o9b2o$2o11b2o$2o11b2o!
Best wishes to you! - Scorbie

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gameoflifeboy
Posts: 474
Joined: January 15th, 2015, 2:08 am

Re: Non-monotonic spaceships

Post by gameoflifeboy » August 23rd, 2015, 2:10 pm

This spaceship falls back two cells every 16 generations:

Code: Select all

x = 7, y = 5, rule = B3/S2456
bo3bo$2bobo$b2ob2o$b5o$o5bo!

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