ConwayLife.com

Hi,

Is there a grid that dies in one step? One of the cells must die because of overcrowding, that is it must have 4 or more neighbour.

Thanks

This grid pattern dies in one step: The grid can be expanded to infinite size and will still die in 1 step.

knightlife wrote:This grid pattern dies in one step:

Code: Select all

x = 14, y = 17, rule = B3/S23
2bo2bo2bo2bo$2bo2bo2bo2bo$14o$2bo2bo2bo2bo$2bo2bo2bo2bo$14o$2bo2bo2bo
2bo$2bo2bo2bo2bo$14o$2bo2bo2bo2bo$2bo2bo2bo2bo$14o$2bo2bo2bo2bo$2bo2bo
2bo2bo$14o$2bo2bo2bo2bo$2bo2bo2bo2bo!

The grid can be expanded to infinite size and will still die in 1 step.

Thanks. That grid is quite big. What is the smallest grid in Conway's game of Life that dies in one single step?

What measure of "smallest" are you looking for?

The smallest in population that I could find was this:

137ben wrote:What measure of "smallest" are you looking for?

The smallest in population that I could find was this:

Code: Select all

x = 5, y = 5, rule = B3/S23
2bo$2bo$5o$2bo$2bo!

I was looking for the smallest possible grid in Conway's game of life which dies in one step.
I guess it is the cross.

ruleworld wrote:

137ben wrote:What measure of "smallest" are you looking for?

The smallest in population that I could find was this:

Code: Select all

x = 5, y = 5, rule = B3/S23
2bo$2bo$5o$2bo$2bo!

I was looking for the smallest possible grid in Conway's game of life which dies in one step.
I guess it is the cross.

I'm not sure you understand: there are many, many commonly used meanings of "small" in cellular automaton: Population, bounding box, bounding polyomino, bounding polyplet, radius under the L-infinity metric, radius under the manhatten metric, etc. The smallest for one is not necessarily the smallest for all of them.

Here is another (the other?) 9-cell polyplet that dies in one step. I know of polyplets with 1, 2, 9, 10, 12 and 14 or more cells that die in one step. Here are examples with 10, 12, 14 and 15 cells. I also know there are no polyplets from 3 and up to 8 cells that die in one step. What I don't know is if there are any such polyplets with 11 or 13 cells. Does anyone else know?

Best I can think of for 11 and 13 are two-polyplet objects: