This is quadratic, but I feel that this thread should be renamed REALLY small infinite growth.
Anyways,
A 1-cell clean spacefiller:
Code: Select all
x = 1, y = 1, rule = B1e3a/S03i4e5a6c7c8
o!
Here’s a more durable one:
Code: Select all
x = 22, y = 4, rule = B1e3a/S03i4e5ai6ac78
21bo3$o!
A moderately durable one comparable with ships and a small replicator:
Code: Select all
x = 20, y = 33, rule = B1e3a4a/S01e3i4aet5a6ac78
2b4o$6o$2b4o4$3b2o$2b3o$3b2o5$3b2o$b4o$3b2o17$3bo15bo!
EDIT:
mt. Everest seen flying, intercepted by missiles.
Code: Select all
x = 15, y = 57, rule = B1e3a4a6n/S01e3ei4aet5a6ac78
6b3o$6b3o$7bo4$6b3o$6b3o$7bo3$6b3o$6b3o$7bo5$6b3o$6b3o$7bo5$6b3o$6b3o$
7bo5$6b3o$6b3o$7bo5$6b3o$6b3o$7bo7$7bo$6b3o$5b5o$4b7o$3b9o$2b11o$b13o$
15o$15o!
κ is measurable iff there is a nontrivial elementary embedding j:V→M (M transitive) with critical point κ