@Hunting: care to provide a figure for how many spaceships exist which fit inside 10x10 bbox?
I suspect the answer is quite large - probably in the thousands even just counting p1 photons, depending on the definition of spaceship.
A different generations rule - /23/3 - might even beat Brian's Brain, at least I'm fairly sure it will based on the increase in number of p1 photons because it allows the following kinds of spaceship families in addition to those in /2/3:
Code: Select all
x = 4, y = 49, rule = /23/3
2.BA$2.BA$.BA$.BA3$2.BA$2.BA$2.BA3$2.BA$2.BA$2.BA$.BA3$2.BA$2.BA$2.BA
$.BA$BA3$2.BA$2.BA$2.BA$.BA$.BA3$2.BA$2.BA$.BA$.BA$.BA3$2.BA$2.BA$2.B
A$2.BA3$2.BA$2.BA$2.BA$2.BA$.BA!
and maybe (depending on the definition of spaceship)
Code: Select all
x = 5, y = 3, rule = /23/3
BA.BA$BA.BA$2.BA!
@Sarp: An interesting challenge, I'm not sure that one week is sufficient time to allow for responses though. Also, I think the rules for this challenge are a bit vague. Perhaps you could provide a few clarifications:
- What patterns should be considered as unique spaceships for the purpose of this challenge? For example, I think the second pattern above should count but what about patterns where the parts are less well connected, e.g.
Code: Select all
x = 5, y = 4, rule = /2/3
BA$BA$3.BA$3.BA!
where the cell at (2,2) is influenced by cells from both parts, but the actual evolution of the two parts is not distinct from the separate parts due to the rules of this particular CA.
- What is the definition of totalistic for this challenge? From the first challenge you evidently mean outer-totalistic and not strictly totalistic, but which multi-state rules are allowed. Some options:
- Generations rules (outer-totalistic rules with one history state, such as /2/3).
- totalistic or outer-totalistic rules where the total is the sum of all cell states in the neighbourhood. (Generations rules not allowed)
- totalistic or outer-totalistic rules where the total number of cells of both states is counted and used to determine the resulting state. (Generations rules allowed, as well as many more complex rules.)
The
5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by AforAmpere. The latest collection is hosted on
GitHub and contains well over 1,000,000 spaceships.
Semi-active here - recovering from a severe case of
LWTDS.