MacFormat 1995 December/macformat-031.iso/mac/Shareware City/Science/LifeLab 3.0/Patterns/Alan Hensel/Life/max.lif

Life cellular automata format | 1995-08-11 | 1.7 KB | 62 lines | [TEXT/LLAB]

#Life 1.05
#D MAX, the smallest known example of a "spacefiller".
#D This is the fastest-growing known pattern in Conway's Game of Life
#D (possibly the fastest possible). It fills space to a density of 1/2,
#D conjectured to be the maximum density, and does it at a speed of c/2
#D in each of the 4 directions, which has been proven to be the maximum
#D possible speed.
#D
#D Population growth is [(t+19)^2+463]/4 for t divisible by 4;
#D .                    [(t+19)^2+487]/4 for t even, not div. by 4;
#D .                    [(t+18)^2+639]/4 for t odd.
#D
#D Original construction, top/bottom stretchers by Hartmut Holzwart;
#D Size optimization, left/right stretchers by David Bell;
#D Original idea, middle part, l/r stretcher connection by Al Hensel.
#D This spacefiller by David Bell, September 1993.
#N
#P -14 -21
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