Hi! I'm not familiar with coreworld or corewar, but know tierra and some other alife programs. If I had stumbled into this conference, the first question I'd ask after seeing your poster would have been "are three spatial dimensions necessary for this to work", whereupon I'd point at the figure in the middle.
We know from Conways game of life and Wolframs cellular automata that a turing machine is possible for 2D and 1D cellular automata. Also, far as I gather, displaying the organisms in Tierra in a 2D plane is purely for simplification, all "points" are lines in code, itself a 1D string of bits.
However, it has been argued that biological life as we know it could not arise in anything but a 3D world, due to demands from physics on gravity and stellar nuclear reactions.

What's your opinion on demands for spatial dimensions? Can they be exchanged for other degrees of freedom like diversity in the assembler-code and number of bits in a byte, or are spatial dimensions unique degrees of freedom that can't be done without in alife?