Return to Dean Hickerson's Life page #N Exponential aperiodic pattern
#C A p20 puffer moves east, sending gliders southwest. Another glider
#C bounces back and forth between the line of gliders and a stationary
#C reflector (found by Mark Niemiec). The round trip time of the
#C bouncing glider triples each time, so cells along its path never
#C become periodic; the intervals between successive passes of the
#C glider grow exponentially.
#C This is based on an earlier pattern in which a glider bounced
#C between the outputs of two puffers; replacing one by a stationary
#C reflector decreased the size of the pattern.
#O Dean Hickerson, dean.hickerson@yahoo.com (1/7/91)
x = 46, y = 35, rule = B3/S23
12b2o$12bo5$35b2o5b4o$33b2ob2o3bo3bo$33b4o8bo$13bo20b2o8bo$12b3o$11b5o
$10b2o3b2o24b2o$41bobo$43bo$41b3o3$10o2$42b4o$41bo3bo$24b4o17bo$23bo3b
o16bo$27bo$26bo7$30b2o$30bobo$30bo!
#N Linear aperiodic pattern
#C A glider bounces back and forth between a fixed reflector and a
#C diagonal line of boats produced by 2 glider puffers. Each round
#C trip takes 120 gens longer than the preceding one, so cells along
#C the path never become periodic.
#C Suggested by Dean Hickerson, built by Bill Gosper, about 5/83
x = 75, y = 92, rule = B3/S23
27bo13bo$26b3o11b3o$25b2obo5bo4b2obo$25b3o5b3o3b3o$26b2o5bob2o3b2o5$
40b3o$40bo2bo$40bo$40bo$41bo4$25bo16bo5bo$24b3o14b3o3b3o$24bob2o13bob
2ob2obo$25b3o14b3ob3o$25b2o15b2o3b2o3$44b3o$45bo3$4b2o50bo$4bo52bo$53b
o3bo$54b4o$30bo19bo$29b3o19b2o$5bo22b2obo18bo$5bo22b3o23b4o5b2o8bo$4bo
bo21b3o22bo3bo4b4o8bo$3b2ob2o20b3o26bo4b2ob2o3bo3bo$2bo5bo20b2o25bo7b
2o5b4o$5bo$2b2o3b2o3$70b3o$72bo$72bo$41bo29bo$42bo$36bo5bo$37b6o30bo$
74bo$2obob2o63bo3bo$o5bo47b4o13b4o$bo3bo47bo3bo$2b3o52bo$56bo9$3bo5bo$
3bo5bo$4bo3bo$5b3o10$8bo$7b3o$7b3o2$5b2o3b2o$5bo5bo8$7bo$7b2o!