The common glider moves at C/4. I don’t think there are any that are faster than that, but I’m pretty sure you can make “fuses” that can do a one-time relay at C/2 or maybe even C. You’d have to have an extremely sparse environment, though, to have time to rebuild your fuses.
I’m sceptical that you can make a wall against dense noise though. Maybe there are enough OOMs that you can have a large empty buffer to fill with ash and a wall beyond that?
The glider moves at c/4 diagonally, while the c/2 ships move horizontally. A c/2 ship moving right and then down will reach its destination at the same time the c/4 glider does. In fact, gliders travel at the empty space speed limit.
The weird thing is that there are two metrics involved: information can propagate through a nonempty universe at 1 cell per generation in the sense of the l_infinity metric, but it can only propagate into empty space at 1⁄2 a cell per generation in the sense of the l_1 metric.
The common glider moves at C/4. I don’t think there are any that are faster than that, but I’m pretty sure you can make “fuses” that can do a one-time relay at C/2 or maybe even C. You’d have to have an extremely sparse environment, though, to have time to rebuild your fuses.
I’m sceptical that you can make a wall against dense noise though. Maybe there are enough OOMs that you can have a large empty buffer to fill with ash and a wall beyond that?
There are C/2 spaceships, you don’t even need a fuse for that.
The glider moves at c/4 diagonally, while the c/2 ships move horizontally. A c/2 ship moving right and then down will reach its destination at the same time the c/4 glider does. In fact, gliders travel at the empty space speed limit.
Huh. Something about the way speed is calculated feels unintuitive to me, then.
The weird thing is that there are two metrics involved: information can propagate through a nonempty universe at 1 cell per generation in the sense of the l_infinity metric, but it can only propagate into empty space at 1⁄2 a cell per generation in the sense of the l_1 metric.
https://en.wikipedia.org/wiki/Norm_(mathematics)#p-norm