Life is isotropic, so it remains symmetric vertically. It travels horizontally but I don't know which direction because it's so unfathomably large you would need a supercomputer to run at least a cycle of it.
yeah, spaceships are pretty common (fun fact: 2 spaceships were found on the same day including this one in GOL), also in CA it's called a "spaceship". However until now there was no 1D one (1D is also called 1-cell-thick or linear).
Also, you are actually wrong, it is actually much easier to move than to self-synthesize and then remain alive like a replicator. There has been no true replicator found yet in Life as far as I know (arguably, linear propagator may be a replicator) but like millions of spaceships have been found.
can be programmed to self-replicate in any number of ways, but it's so big that it's very hard to simulate it through a full cycle. By contrast, Pavel Grankovskiy's "DOGun SaGaQR"
OK, I didn't know if it was a "true" replicator (what even does "true" mean) so I excluded it. And, running a true replicator from other rule in 0E0P takes millenia, so that leaves DOGun SaGaQR (specifically the QR configuration). Sorry.
conwaylife.com isn't just for GOL, although it is the main subject, there is an Other Cellular Automata forum.
also it's not really a fansite, it's a bit more academic than what would be considered a "fansite".
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