ConwayLife.com

Wanted to start a stash of CA coincidences that aren't as quantifiable as those in the mathematical-coincidences thread. "Poetic" is naturally extremely subjective, but I'd like to leave it up to people's intuition without trying to clamp down too rigorously. Here are my two to start with:

1. I hadn't seen it pointed out before this post from Paul Callahan that Eater 1 innately contains a dead glider, and it's possible that this went unnoticed for 50 years:

pcallahan wrote: January 30th, 2020, 12:05 pm

Update 2: [...] it threw me for an instant when that white "glider" showed up in the eater before I realized it represents the 5 dead cells in the neighborhood.

2. Just saw that this one is already in the LifeWiki DYKs, but Dave Greene posted a loafer soup as an April Fool's Day prank and made a joke about it being an auspicious day for apgsearch to pick. Two years later, the first natural loafer appeared on April Fool's Day.

when I make the Four-Hive HiveShip

it contains the Negative Image of the SiameseLoaf
the Two-Hive HiveShip becomes 12 Gliders ( & some Blinkers, etc. )
Cheers !

otismo wrote: June 18th, 2025, 3:54 pm the Two-Hive HiveShip becomes 12 Gliders ( & some Blinkers, etc. )

Code: Select all

x = 7, y = 5, rule = B3/S23
bo$ob2obo$obobobo$bob2obo$5bo!

Cheers !

That's the gliders by the dozen sequence.

M. I. Wright wrote: June 18th, 2025, 11:54 am 1. I hadn't seen it pointed out before this post from Paul Callahan that Eater 1 innately contains a dead glider, and it's possible that this went unnoticed for 50 years:

pcallahan wrote: January 30th, 2020, 12:05 pm

Update 2: [...] it threw me for an instant when that white "glider" showed up in the eater before I realized it represents the 5 dead cells in the neighborhood.

The snake has two "dead gliders" and coincidentally it can only eat a G0 glider pair; it can't eat a glider.

The fully universal Turing machine, demonstrating that the evolution of finite patterns in Life was as hard as the halting problem, was finished on March 23rd aka 23/3 (or 3/23 with missing B and S).

andrewthelifer wrote: September 20th, 2025, 11:00 am The fully universal Turing machine, demonstrating that the evolution of finite patterns in Life was as hard as the halting problem, was finished on March 23rd aka 23/3 (or 3/23 with missing B and S).

The "OCA:Fireworks (2/13/21)" page was created on "2/13/21".

hotcrystal0 wrote: March 30th, 2026, 7:31 pm

yoleo wrote: August 29th, 2022, 4:23 am [/code]

Completed P90:

Code: Select all

x = 78, y = 78, rule = B3/S23
25bob2o4b2obo$25b2o2bo2bo2b2o$23b2o3bo4bo3b2o$22bo3b2ob4ob2o3bo$23b3o
bobo2bobob2o2bo$25bobobo2bobobob2o$28bo4bo4bo$29b4o5bo2bo3b2o3bo$37b2o
bobobo2bobobo$40bobobo2bobobo$26b2o2b2o2b2o4bobo6bob2o$26bo8bo2b2o2b8o
3bo$27b8o4bobo2bo2bo2bobo$30b2o6bo2b2o6b2ob2o$25b4o4b4o2b2o$24bo4b4o4b
2o2b2o6b2ob2o$25b4o4b4o2bobo2bo2bo2bobo$37b3o2b8o3bo$25b3obo2bob3o3bo
bo6bob2o$22bobo2b2ob2ob2o2bo2bobobo2bobobo4bo$20b3ob2o10bobobobobo2bo
bobo3bobo$19bo17bobobo3b2o3bo4bobo$20b3ob2o13bo14b2ob2o15bo$22bob2o12b
2o33bobo$11bobobobo36b2ob2o3bo10bobo$10bob2ob2obo35b2obobobobo8b2o2b2o
$8b3o7b3o38bobobo2b2o6bobo$7bo4b2ob2o4bo36b2obobobobo4b3o2bo$8b4obobo
b4o37bo2bobobo5bo3bobo$11bo5bo14b2o25bo2bo2bo4bob3obo$8b2ob2o3b2ob2o10b
obo5bo18bo3bob2obo2bo3bo$7bo3bo5bo3bo9bo5bo2b2o16bo3bob2obo2bo3bo$7bo
3bo5bo3bo9bobo5b2obo16bo2bo2bo4bob3obo$8b2ob2o3b2ob2o11b2o3bo4bo15bo2b
obobo5bo3bobo$11bo5bo20bobo17b2obobobobo4b3o2bo$8b4obobob4o16b2ob2o17b
obobo2b2o6bobo$7bo4b2ob2o4bo15b2ob2o15bobobobo8b2o2b2o$4bo3b3o3bo3b3o
17bobo15bobobobo6bo3bobo$3bobo5b2obob2o3b3o14b2o14bo2bo2bobobobo2b4o2b
o$2bo2b4o2bobobobo2bo2bo14b2o14b3o3b2obob2o5bobo$2bobo3bo6bobobobo15b
obo17b3o3bo3b3o3bo$2o2b2o8bobobobo15b2ob2o15bo4b2ob2o4bo$bobo6b2o2bob
obo17b2ob2o16b4obobob4o$o2b3o4bobobobob2o17bobo20bo5bo$obo3bo5bobobo2b
o15bo4bo3b2o11b2ob2o3b2ob2o$bob3obo4bo2bo2bo16bob2o5bobo9bo3bo5bo3bo$
3bo3bo2bob2obo3bo16b2o2bo5bo9bo3bo5bo3bo$3bo3bo2bob2obo3bo18bo5bobo10b
2ob2o3b2ob2o$bob3obo4bo2bo2bo25b2o14bo5bo$obo3bo5bobobo2bo37b4obobob4o
$o2b3o4bobobobob2o36bo4b2ob2o4bo$bobo6b2o2bobobo38b3o7b3o$2o2b2o8bobo
bobob2o35bob2ob2obo$2bobo10bo3b2ob2o36bobobobo$2bobo33b2o12b2obo$3bo15b
2ob2o14bo13b2ob3o$20bobo4bo3b2o3bobobo17bo$20bobo3bobobo2bobobobobo10b
2ob3o$21bo4bobobo2bobobo2bo2b2ob2ob2o2bobo$25b2obo6bobo3b3obo2bob3o$24b
o3b8o2b3o$25bobo2bo2bo2bobo2b4o4b4o$24b2ob2o6b2o2b2o4b4o4bo$37b2o2b4o
4b4o$24b2ob2o6b2o2bo6b2o$25bobo2bo2bo2bobo4b8o$24bo3b8o2b2o2bo8bo$25b
2obo6bobo4b2o2b2o2b2o$26bobobo2bobobo$26bobobo2bobobob2o$27bo3b2o3bo2b
o5b4o$39bo4bo4bo$38b2obobobo2bobobo$37bo2b2obobo2bobob3o$38bo3b2ob4ob
2o3bo$39b2o3bo4bo3b2o$41b2o2bo2bo2b2o$41bob2o4b2obo!

The first p90 pi-heptomino hassler was also discovered on the 30th of March

andrewthelifer wrote: September 20th, 2025, 11:00 am The fully universal Turing machine, demonstrating that the evolution of finite patterns in Life was as hard as the halting problem, was finished on March 23rd aka 23/3 (or 3/23 with missing B and S).

Þat's also my birþday, which is a poetic coincidence too, which i pointed out in my signature

In 1996, a paper was published regarding a Life-like rule that the paper described as "worthy of the name". The initials of its author, Jean-Claude Heudin (JCH), are very similar to that of John Horton Conway (JHC).