ConwayLife.com

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...

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...

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...

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...

It's a shillelagh.

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

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...

That's a 6-cell pattern so it's a contestant for f(6), not f(4).

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...

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):

Today I found a way to add another 45 generations to David Bell's version ov Lidka: The lifespan is 29100 generations. Is it the longest lifespan known for a methuselah with 13 or fewer cells?

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...

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...

A pentadecathlon appears in the ash. It's a simple pi-heptomino block explosion so I guess it's not new. I find it interesting, though...

Yes, generation 3 of the pattern is the r-pentomino so it isn't new but it's interesting.

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...

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 ...