wwei47 wrote: ↑July 28th, 2021, 9:25 pm
What's the cheapest way to synthesize an LWSS with a single glider in one direction and an unlimited amount of gliders in the opposite direction?
Does it matter which way the LWSS goes, relative to the direction the single glider is coming from -- 45 degrees or 135 degrees?
From simeks' searches for single-channel construction, I can give an upper bound of 21G, where 19 of the 20 multi-gliders are on the same lane and are only synchronized in pairs, but that's probably not too useful...
Code: Select all
x = 518, y = 523, rule = LifeHistory
516.A$515.A$515.3A7$508.3A$510.A$509.A22$487.2A$486.A.A$488.A25$460.A
$460.2A$459.A.A28$430.A$430.2A$429.A.A22$406.3A$408.A$407.A28$376.2A$
377.2A$376.A28$346.3A$348.A$347.A36$308.2A$309.2A$308.A28$278.3A$280.
A$279.A28$248.3A$250.A$249.A28$218.2A$219.2A$218.A23$193.2A$194.2A$
193.A28$163.2A$164.2A$163.A24$137.2A$138.2A$137.A28$107.3A$109.A$108.
A28$77.3A$79.A$78.A20$55.A$55.2A$54.A.A28$25.A$25.2A$24.A.A23$3A$2.A$
.A!
Really this is a gencols question, and I'd expect the answer to be "4". Cobbling together known reactions from the LifeWiki (a
tee reaction) and Mark Niemiec's database gives an easy engineered reaction with a 5-glider salvo meeting a single glider:
Code: Select all
x = 23, y = 26, rule = B3/S23
obo$b2o$bo5$4bo$3b2o$3bobo4$6b2o$5b2o$7bo$13b2o6b2o$12b2o6b2o$14bo7bo
5$19b2o$18b2o$20bo!
The group of three gliders on the right can be moved two steps left, or 2N steps right for any positive N.