## Long-lived methuselahs

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
NickGotts
Posts: 93
Joined: November 10th, 2011, 6:20 pm

### Re: Long-lived methuselahs

Cross-posted from "Systematic Survey of Small Patterns".

Here are two more variants of bunnies10a (10-cell single-cluster patterns that last 17425 steps). The one on the left has a bounding box 7*5, and an MCPS of 11, which according to the usual criteria for methuselahs makes it the preferred variant.

Code: Select all

``````x = 27, y = 5, rule = B3/S23
bo19bo\$3o17b2obo\$3bobo19bo\$bo2b2o15b2ob2o\$6bo19bo!``````

NickGotts
Posts: 93
Joined: November 10th, 2011, 6:20 pm

### Re: Long-lived methuselahs

Another slight improvement (in terms of life-span) to bunnies10. Let's call this one bunnies10b: lasts 17431.

Code: Select all

``````x = 9, y = 6, rule = B3/S23
o\$bo\$2bo\$3bo\$2b2obo\$6b3o!
``````
Bounding box 9*6, MCPS 11.

Here's an alternative form - the two have the same immediate successor:

Code: Select all

``````x = 9, y = 6, rule = B3/S23
o\$2bo\$bo\$3bo\$2b2obo\$6b3o!
``````
Same bounding box, but MCPS of 13.

Step 29 of bunnies10b is the same as step 23 of bunnies 10a.