Monday, 29 April 2024

Another Record in Conway's Game of Life

I've written about Conway's Game of Life in numerous posts but specifically in Conway's Game of Life Records I began to track record number of generations using polyominoes in the shape of my diurnal age as the starting points. I began that post by saying:

Since the 15th February 2024 I've been tracking the number of generations required for the number associated with my diurnal age to reach stability under the rules of Conway's Game of Life. On that date, I created a post titled Diurnal Age Meets Conway's Game Of Life that explained the manner in which this number was arrived at. 

Up until today, the record of around 1190 generations was held by 27373 on the 13th March 2024. At that date, no other number had surpassed 1000 generations. Today however, the number associated with my diurnal age, 27388, exceeded the previous record by an impressive margin. This number required slightly less than 1700 generations to reach stability.

 I fairly quickly had to add two addendums to the post and here they are:

ADDENDUM, Sunday April 14th 2024

27402 stabilises after about 2070 generations under Conway's Game of Life rules to six gliders and an assortment of still lifes and oscillators. This sets the record so far for number of generations. The previous record was held by 27388 with about 1700 generations.

ADDENDUM, Sunday April 28th 2024

Only two weeks since my last addendum and 27419 sets a new record by a significant margin. The new number of generations is about 3745 and Figure 3 shows the final configuration with the paths of the numerous gliders clearly visible.

The latest record marked an impressive increase in the number of generations required to achieve stability. The purpose of this post is to show the progression more clearly and to include an animation of the progression for 27419. See below.


I've been dutifully recording the number of generations required to reach stability since the 15th of February 2024. Figure 1 shows a screenshot of the final configuration for 27419.


Figure 1

I'd like to think I'm the only person on the planet to have ever thought of pursuing this particular activity, at least on a consistent basis. Maybe. In any case, I'll continue the pursuit and happily record, in an addendum to this post, when the current record is broken.

No comments:

Post a Comment