small period 9 oscillator in B34/S25

For discussion of other cellular automata.
Post Reply
Posts: 1
Joined: September 19th, 2010, 8:23 pm

small period 9 oscillator in B34/S25

Post by Lanulos » September 19th, 2010, 8:47 pm

B34/S25 tends to form self contained boiling masses which either eventually dissipate with little ash, or if of sufficient size, expand indefinitely. I have found a small period-9 oscillator in this system, its smallest iteration being an 8 cell diamond:


It also has the blinker, an extended "blinker" (line of four cells) and two small period 4 oscillators:




As I am using Underscore Life on an iPod Touch, I was unable to save files in the .lif format.

Posts: 46
Joined: June 8th, 2010, 9:11 am

Re: small period 9 oscillator in B34/S25

Post by Ntsimp » September 21st, 2010, 1:44 pm

This rule also has a small p54:

Code: Select all


User avatar
Posts: 320
Joined: March 17th, 2009, 5:26 pm
Location: UK

Re: small period 9 oscillator in B34/S25

Post by Lewis » September 21st, 2010, 1:55 pm

Stamp Colletcion (New periods are 3, 6, 7, 8, 12 and 15):

Code: Select all

x = 100, y = 57, rule = 25/34
A small census made using Winlife32 and thrown together rather terribly using Paint (in order to show pictures of each pattern). I didn't run the census for too long, because the resulting image would take much longer to make (at least until a naming system for this rule is made):
25 34 census.png
25 34 census.png (13.7 KiB) Viewed 2160 times

Posts: 21
Joined: September 18th, 2010, 10:56 am
Location: Rindge, NH, USA

Re: small period 9 oscillator in B34/S25

Post by Karatorian » September 24th, 2010, 1:54 am

Well, for a naming system, you could probably adapt the system used for unnamed Life patterns. I've yet to find it formally documented anywhere (there really should be a wiki article), but I'll try to explain it as best I've figured it out. Basically a pattern ID looks like this:

<cells>P<period>H<horizontal movement>V<vertical movement>A<cells added>.<unique>

Cell count is at the smallest phases. Generally, the parts you don't need are left out.

P is only used if the period is greater than one. H and V are used by spaceships. Orthogonal movement is considered to be horizontal, so (in Life anyway), V is only non-zero (and equal to H) for diagonal movement. However, if H is present, so is V, even if zero. Presumably, oblique movement would put the larger number in H. A is used by puffers and guns.

The only tricky part is the number after the dot at the end. It's function is to differentiate patterns which would have the same ID otherwise. For small sizes, which can be exhaustively searched, this is relatively basic. Either a sorting criteria is defined, and then the patterns are assigned numbers in order, or a full list can be constructed and the numbers given "by definition".

However, for larger sizes, I don't really know how it works. I presume it's by date of discovery, or publication, or database entry. This is unfortunate, because as computing power increases and larger spaces can be searched, it'd be handy to be able to use systematic names. However, changing the names of existing objects would cause confusion.

Perhaps it'd be a good idea to add a letter after the dot, but before the number (or something) to differentiate these "arbitrary" numbers from systematic ones. That way, if full searches can be conducted in the future, some objects might have two names, but at least there wouldn't be two objects with the same name. (However, it seems to be a little late to adopt this idea for Life.)

Edit: see ... comparison

Post Reply