Search found 42 matches

by Mats
February 26th, 2011, 5:48 am
Forum: General Discussion
Topic: Bounding box
Replies: 10
Views: 3263

Re: Bounding box

The problem with the Bounding box concept seems to be that the size appears too large for patterns that are mainly spread diagonally. That is if size is measured as the area of the bounding box. But the area is not the only way to measure size. Any function with the property: f(box 1 ) > f(box 2 ) a...
by Mats
February 8th, 2011, 8:30 am
Forum: General Discussion
Topic: Methuselah Definition
Replies: 50
Views: 38351

Re: Methuselah Definition

I'm pretty sure that stabilization implies a cyclic population. Can you find a source to support that? From the Life Lexicon : stable A pattern is said to be stable if it is a parent of itself. See still life. There is no entry for "stabilize" in the Lexicon so unless there is support for your inte...
by Mats
February 7th, 2011, 12:30 pm
Forum: General Discussion
Topic: Bounding box
Replies: 10
Views: 3263

Re: Bounding box

I'm not sure I understand this. What is "the smallest possible point" that represents a cell? The center point of the cell? Any point of your choise within or on the boundary of the cell? Somthing else? And what do you mean by "octagon"? A regular octagon? A convex octagon? Any shape with eight side...
by Mats
February 7th, 2011, 2:47 am
Forum: General Discussion
Topic: Methuselah Definition
Replies: 50
Views: 38351

Re: Methuselah Definition

Furthermore, exactly when a pattern "regularizes" is vaguely defined. Rather, a methuselah should stabilize There is the same problem with the word "stabilize". It's vaguely defined as well. If it means "become stable" it should rule out any pattern with a blinker in the ash. A blinker is not stabl...
by Mats
January 24th, 2011, 5:41 pm
Forum: Patterns
Topic: Thread For Your Accidental Discoveries
Replies: 1524
Views: 980680

Re: Thread For Your Accidental Discoveries

It's a shillelagh.
by Mats
January 8th, 2011, 7:02 pm
Forum: Patterns
Topic: Thread For Your Accidental Discoveries
Replies: 1524
Views: 980680

Re: Thread For Your Accidental Discoveries

Here is a 19-cell predecessor to davidspencer's 40-cell still life:

Code: Select all

x = 6, y = 11, rule = B3/S23
2bo$b5o$2bo2bo2$o$o$o2$2bo2bo$b5o$2bo!
I know only one more still life that has a predecessor with less than half the number of cells of the still life, and that's the bi-pond.
by Mats
January 2nd, 2011, 11:12 am
Forum: General Discussion
Topic: The Online Life-Like CA Soup Search
Replies: 173
Views: 102972

Re: The Online Life-Like CA Soup Search

Well... A "normal" methuselah doesn't really stabilize eiter. It's bounding box for generation n is expanding forever. That's not really stable. So it's a matter of definition...
by Mats
January 2nd, 2011, 10:43 am
Forum: Patterns
Topic: Methuselah Lidka improved
Replies: 8
Views: 5150

Re: Methuselah Lidka improved

That's a 6-cell pattern so it's a contestant for f(6), not f(4).
by Mats
January 2nd, 2011, 6:57 am
Forum: General Discussion
Topic: The Online Life-Like CA Soup Search
Replies: 173
Views: 102972

Re: The Online Life-Like CA Soup Search

The bounding box is 75 x 54 but so far, 37673 may be a record for any methuselah of size 18 cells or less (even allowing a 100 x 100 bounding box). This ark found by Nick Gotts and retreived from Stephen Silver's Life Lexicon is well within those limits. It stabilizes at generation 736692... x = 32...
by Mats
December 31st, 2010, 12:23 pm
Forum: Patterns
Topic: Methuselah Lidka improved
Replies: 8
Views: 5150

Re: Methuselah Lidka improved

Sokwe wrote:These two one-generation predecessors result in a smaller bounding box (14*10)
Or you can arrange the tub and either one of them in an even smaller bounding box (4*20):

Code: Select all

x = 4, y = 20, rule = B3/S23
bo$obo$bo10$3bo2$2b2o$o$b2o$3bo$3bo$3bo!
by Mats
December 29th, 2010, 8:25 am
Forum: Patterns
Topic: Methuselah Lidka improved
Replies: 8
Views: 5150

Methuselah Lidka improved

Today I found a way to add another 45 generations to David Bell's version ov Lidka:

Code: Select all

x = 13, y = 12, rule = B3/S23
bo$obo$bo6$8b2ob2o$8bobobo$12bo$11bo!
The lifespan is 29100 generations. Is it the longest lifespan known for a methuselah with 13 or fewer cells?
by Mats
December 27th, 2010, 10:18 am
Forum: Patterns
Topic: Thread For Your Accidental Discoveries
Replies: 1524
Views: 980680

Re: Thread For Your Accidental Discoveries

Makes three boats and nothing else: x = 5, y = 4, rule = B3/S23 2b2o$bob2o$2o$b2o! An 8-cell father: x = 5, y = 4, rule = B3/S23 3o$o3bo$bobo$2bo! Four boats and nothing else from eight cells: x = 7, y = 5, rule = B3/S23 4o$3bo$4bo$5bo$6bo! Makes two pi heptominoes, one of which eventually turns in...
by Mats
December 19th, 2010, 6:02 pm
Forum: Patterns
Topic: Thread For Your Accidental Discoveries
Replies: 1524
Views: 980680

Re: Thread For Your Accidental Discoveries

I don't know if the Big S is considered rare or not. In the Online Soup Search it's in 26th place among still lives and oscillators. Here is a seven cell predescessor: x = 6, y = 4, rule = B3/S23 o$bo$bob3o$2bo! Here is an eight cell pattern in which a Big S survives forever: x = 6, y = 5, rule = B3...
by Mats
December 19th, 2010, 5:54 am
Forum: Patterns
Topic: Thread for your unsure discoveries
Replies: 1864
Views: 894919

Re: Thread for your unsure discoveries

A pentadecathlon appears in the ash.

Code: Select all

x = 8, y = 5, rule = B3/S23
2o$o$o$bo4b2o$6bo!
It's a simple pi-heptomino block explosion so I guess it's not new. I find it interesting, though...
by Mats
December 14th, 2010, 11:23 am
Forum: Patterns
Topic: Thread for your unsure discoveries
Replies: 1864
Views: 894919

Re: Thread for your unsure discoveries

Yes, generation 3 of the pattern is the r-pentomino so it isn't new but it's interesting. :)
by Mats
August 13th, 2010, 8:24 am
Forum: Patterns
Topic: R-bee and snake
Replies: 2
Views: 1966

Re: R-bee and snake

I doubt that explanation. The list doesn't seem to work like that. It seems to count parts of pseudo objects as real objects if you exclude the pseudo objects. E.g. At the moment the number of blocks including pseudo objects is 28,745,953,903, but if you exclude the pseudo objects it's 29,231,311,53...
by Mats
August 13th, 2010, 8:01 am
Forum: Patterns
Topic: R-bee and snake
Replies: 2
Views: 1966

R-bee and snake

This is my first post in this forum. I'm sorry if my question is stupid... In the Census Results in Conway's Life , if you search for Still lifes and Pseudo objects , this pseudo object appears in the list: .....**. ....*..* ....***. ........ **.*.**. **.**.*. At the moment it's in place 125 with a ...