Nice! That is smaller than I thought it would be to be honest. I can't find any frontends for C/2, but I have no proof that they are impossible yet. Is there some way to prove it?wildmyron wrote:Nevertheless, here's the first 2c/5 orthogonal ship I have found in this rule (making good use of the above fuse):Code: Select all
2c/5 ship
B3478/S15678

 Posts: 1079
 Joined: July 1st, 2016, 3:58 pm
Re: B3478/S15678
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Nontotalistic rules.
Things to work on:
 Find a (7,1)c/8 ship in a Nontotalistic rule
 Finish a rule with ships with period >= f_e_0(n) (in progress)
Things to work on:
 Find a (7,1)c/8 ship in a Nontotalistic rule
 Finish a rule with ships with period >= f_e_0(n) (in progress)
 BlinkerSpawn
 Posts: 1942
 Joined: November 8th, 2014, 8:48 pm
 Location: Getting a snacker from RBee's
Re: B3478/S15678
Let's assume symmetry for simplicity.AforAmpere wrote:Nice! That is smaller than I thought it would be to be honest. I can't find any frontends for C/2, but I have no proof that they are impossible yet. Is there some way to prove it?wildmyron wrote:Nevertheless, here's the first 2c/5 orthogonal ship I have found in this rule (making good use of the above fuse):Code: Select all
2c/5 ship
The width of the leading edge of a c/2 engine alternates either between 1 and 3 or between 2 and 4.
Regardless of which, the only possibility that allows the center to survive and contribute to the next advancement is one bit followed by one bit:
Code: Select all
.o.
.o.
But ensuring the front tip's survival via S1 leaves only three undeclared neighbors for the trailing which cannot be on since S234 isn't there.
We have two options for our frontend:
Code: Select all
...o... ..ooo..
.o.o.o. o.ooo.o
oo...oo
...o... ..ooo..
.o.o.o. .ooooo.
??...??
It looks improbable that c/2 exists.
When I started writing this post I thought maybe I'd end up with an argument that could be extended inductively into an interminable ribbon (similar to infinite lines in GoL needed for lightspeed) but I'm not sure if anything concrete is reachable from there now.
Re: B3478/S15678
The options available for a p2 c/2 engine are probably covered by the two examples in B3478/S1568 and B3478/S1578 I posted earlier. They fit nicely with this consideration (for the odd symmetry case) and obviously one doesn't work with S6 and the other doesn't work with S7. @BlinkerSpawn: I suspect you're probably not too far off a proof that there's no p2 c/2 engine. But what about higher period engines? p4 and p6 look similarly unlikely as those searches finish pretty quickly too. Can anything be said about the existence of higher period c/2 engines if we know that p2 c/2 engines don't exist?
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.
Re: B3478/S15678
Here are some vaguely promising leads on 4c/8 which at the very least show that there's no simple proof of their nonexistence.
The idea is to find a wing shaped ship with a symmetrical leading edge that is supported by long wings. I'm not sure yet if this is feasible, but it's a start.
Code: Select all
x = 44, y = 31, rule = B3478/S15678
3bo$3bo28bobo$3b2o28b2o$4b2o28b2o$4b3o28bo$35b3o$3b3o2bo24bobobo$bob2o
2b4o20bob3o2b2o$bo2bobo24bo2bobo6bo$bo3b2o24bo3b2o2b4o$2b2o2b2o2b3o19b
2o2b2o$3b4o26b4o5bo$3b3o27b3o$4b2o28b2o$2bo29bo$obo27bobo$2bo29bo$4b2o
28b2o$3b3o27b3o$3b4o26b4o5bo$2b2o2b2o2b3o19b2o2b2o$bo3b2o24bo3b2o2b4o$
bo2bobo24bo2bobo6bo$bob2o2b4o20bob3o2b2o$3b3o2bo24bobobo$35b3o$4b3o28b
o$4b2o28b2o$3b2o28b2o$3bo28bobo$3bo!
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.
Re: B3478/S15678
Does this rule have an actual name yet?
Just curious.
Just curious.
 Majestas32
 Posts: 524
 Joined: November 20th, 2017, 12:22 pm
 Location: 'Merica
Re: B3478/S15678
Hi moony
Last edited by Majestas32 on April 12th, 2018, 7:04 pm, edited 1 time in total.
Please, stop spam searching Snowflakes.
Re: B3478/S15678
...That's completely irrelevant to this thread, Majestas, which is about B3478/S15678. It's borderline spam.Majestas32 wrote:Hi moony search b2e3ajs23

 Posts: 3138
 Joined: June 19th, 2015, 8:50 pm
 Location: In the kingdom of Sultan Hamengkubuwono X
Re: B3478/S15678
It's just called B3478/S15678 for nowmoony wrote:Does this rule have an actual name yet?
Just curious.
Airy Clave White It Nay
(Check gen 2)
Code: Select all
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!