velcrorex wrote:For periods < 8, the only combinations without a known example are 3c/7 orthogonal ship and a period 6 knightship.
Sokwe wrote:Another interesting question is the "grandfather problem": Does there exist a finite pattern that has a parent, but no grandparents?
Sphenocorona wrote:codeholic: no, because you can fill in the area around it with stuff that dies in one generation. Or do you mean as if only the area that is considered to be the parent is the area that surrounds the figure out to two cells away?
codeholic wrote:Yes, probably only the area of influence should be taken into account. There should be an original statement somewhere.
dvgrn wrote:- A 2c/6 (c/3) spaceship that's entirely period 6.
x = 27, y = 22
19bo$6bo11boo$5bobo7bob4o$5bo8boobbobo$4bobboboboobb5obo$4boobob4o5boo
3boo$4bobboo16bo$bb3o3bob3o7boobbo$boboo3bob3o7boob3o$o4boobobo9b3obb
oo$o4bobbo11b3ob3o$o4bobbo11b3ob3o$o4boobobo9b3obboo$boboo3bob3o7boob
3o$bb3o3bob3o7boobbo$4bobboo16bo$4boobob4o5boo3boo$4bobboboboobb5obo$
5bo8boobbobo$5bobo7bob4o$6bo11boo$19bo!
x = 33, y = 26, rule = B3/S23
9b3o5b3ob3o5b3o$12b3o3b2ob2o3b3o$18b2ob2o$12bob4o5b4obo$10bo19bo$10bo
19bo$10bo19bo$8b2o18b2o$8b2o18b2o$7b2o18b2o$7bo19bo$bobo2bob2o11bobo2b
ob2o$o3bo6bo8bo3bo6bo$bo6bo3bo8bo6bo3bo$3b2obo2bobo11b2obo2bobo$5bo19b
o$4b2o18b2o$3b2o18b2o$3b2o18b2o$2bo19bo$2bo19bo$2bo19bo$4bob4o5b4obo$
10b2ob2o$4b3o3b2ob2o3b3o$b3o5b3ob3o5b3o!
skomick wrote:I believe it was Jason Summers who showed us a p3 oscillator in which every cell oscillates
dvgrn wrote:- A 3c/6 (c/2) spaceship that's entirely period 6.
Tropylium wrote:dvgrn wrote:Glider synthesis of non-standard spaceships is one obvious unsolved problem I didn't see listed.
dvgrn wrote:Of course the hard part is writing an evaluation algorithm that can rate each predecessor for "likely glider-constructibility".
Freywa wrote:dvgrn wrote:Of course the hard part is writing an evaluation algorithm that can rate each predecessor for "likely glider-constructibility".
Guess what? We don't need an evaluation algorithm. We use our brains... This is called retrosynthesis, and here humans are always better than hot, hard silicon chips.
x = 17, y = 20, rule = B3/S23
3$3b2o$2bo2bo$3bo2bo$4b2obob2o$7bob2o$7bo$5bobo$5b2o$9b2o$8bobo$8bo$5b
2obo$5b2obob2o$9bo2bo$10bo2bo$11b2o!
x = 153, y = 132, rule = B3/S23
18bo$19bo$17b3o13$27bo$28b2o$27b2o7$46bobo19bo$47b2o20bo$47bo19b3o$54b
obo$55b2o$55bo3$49bo15bo$50b2o14bo$49b2o13b3o5$72bo$73bo$71b3o10$82bo$
83bo$81b3o3$81b2o$81b2o3$2bo$obo2b2o$b2o2b2o3b3o3$3b2o10bo$2bo2bo8bobo
$3bobo8bo2bo$4bo10b2o3$7b3o3b2o2b2o$13b2o2bobo$17bo$87b2o$87b2o3$86b3o
$86bo$87bo10$96b3o$96bo$97bo5$103b3o13b2o$103bo14b2o$104bo15bo3$114bo$
113b2o$113bobo$100b3o19bo$100bo20b2o$101bo19bobo7$141b2o$140b2o$142bo
13$150b3o$150bo$151bo!
Extrementhusiast wrote:But we've already synthesized the Snark with around 50 gliders. We're trying to see if/how it can be made with fewer gliders.
dvgrn wrote:Of course the hard part is writing an evaluation algorithm that can rate each predecessor for "likely glider-constructibility". Maybe there's a way to backtrack selectively, looking let's say for ancestors that are as close to stable as possible -- or just ancestors that stay as small as possible but contain as many gliders and glider collision products as possible.
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