Post APnVFPiuoprfN7xKHQ by OscarCunningham@mathstodon.xyz
 (DIR) More posts by OscarCunningham@mathstodon.xyz
 (DIR) Post #APnVFOkISDNKL7aunI by OscarCunningham@mathstodon.xyz
       2022-11-20T07:59:45Z
       
       1 likes, 2 repeats
       
       Amazing new result about Conway's Game of Life! You can build anything you want by colliding 15 gliders together: https://b3s23life.blogspot.com/2022/11/in-conways-life-fifteen-gliders-can.html⬛⬜⬛⬛⬛⬜⬜⬜⬜This result was a long time in the making. Read the article to find out how it works, and why 'anything' is not actually everything.This blogpost breaks down the construction even further: https://btm.qva.mybluehost.me/building-arbitrary-life-patterns-in-15-gliders/#Math #Mathematics #Maths #CellularAutomata #Conway #GameOfLife #ConwaysLife
       
 (DIR) Post #APnVFPFqYuc1uyM6yG by johncarlosbaez@mathstodon.xyz
       2022-11-20T10:02:12Z
       
       0 likes, 0 repeats
       
       @OscarCunningham - wow, this is amazing indeed.   I'd like to know the precise definition of 'anything' (since it's not actually everything).   Maybe I just didn't read far enough yet.
       
 (DIR) Post #APnVFPiuoprfN7xKHQ by OscarCunningham@mathstodon.xyz
       2022-11-20T10:10:56Z
       
       0 likes, 1 repeats
       
       @johncarlosbaez Anything that can be constructed by colliding (any number) of gliders can be constructed by colliding 15 gliders. However we know there are patterns that can't be constructed with gliders. These include 'Gardens of Eden' https://conwaylife.com/wiki/Garden_of_Eden which have no predecessor whatsoever under Life's rule. But it's also now know that there are interesting patterns such as still-lifes that can't be constructed https://cp4space.hatsya.com/2022/01/14/conway-conjecture-settled/.