Extrementhusiast wrote:Got to the solution another way. Here is a p6 in 51 gliders:
Nice! It can be reduced by 1 by making the beehive before the toad:
Code: Select all
x = 80, y = 17, rule = B3/S23
45bo$4bo41boo$5bo19bo19boo8bo19bo$3b3o18bobo27bobo17bobo$24bobo27bobo
17bobo$3o22bo29bo19bo$bbo66bo$bo3bo19bo15bobo11bo12bobbo3bo$4bobo17bob
o15boo10bobo11bobbobbobo$4bobo17bobo15bo11bobo13bo3bobo$3booboboo13boo
boboo16boo5booboboo13booboboo$3bobboboo13bobboboo17boo4bobboboo13bobbo
boo$4boo18boo20bo7boo18boo$$4boo18boo28boo18boo$4bobo17bobo27bobo17bob
o$5bo19bo29bo19bo!
Extrementhusiast wrote:Finished another one in 18 gliders:
Excellent! This also gives us another one too, from 23:
(but this is now obsolete, with yours being smaller).
Code: Select all
x = 108, y = 16, rule = B3/S23
93bo$92bo$92b3o$$bboo18boo18boo18boo18boo6boo10boo$bobo17bobobboo13bob
obboo13bobobboo13bobobbooboo10bobobbo$obboboo13bobbobobo12bobbobobo3bo
8bobbobobo12bobbobobo3bo8bobbobobo$oobobo14boobobo14boobobo4bo9boobobb
o13boobobbo13boobobbo$3bobo17bobo17bobo4b3o10bo19bo19bo$3boo5bo12boo
18boo18boo18boo18boo$9bo37b3o$9b3o35bo$48bo$8boo3boo29b3o$7bobo3bobo
30bo$9bo3bo31bo!
Extrementhusiast wrote:Finished a third in 32 gliders:
That is better than my 43-glider version from a few months back:
Code: Select all
x = 160, y = 80, rule = B3/S23
108bo$106b2o$103bo3b2o$98bo2b2o$99bo2b2o$97b3o33bo$131bobo$59bo47bo20b
2o2b2o$60bo38bobo3b2o22b2o$17bo40b3o2bo35b2o5b2o20bo$16bo17bo19bo8bobo
8bo19bo5bo13bo19bo18b2o$16b3o14bobo17bobo7b2o8bobo17bobo8bo8bobob2o14b
obob2o13bo2bob2o$11bo21bobo17bobo17bobo17bobo7b2o8bobob2o9b3o2bobob2o
14bobob2o$9bobo20b2obobo14b2obobo14b2obob2o13b2obob2o4bobo6b2obo14bob
2obo16b2obo$10b2ob2o21b2o18b2o17bo2bo16bo2bo16bo13bo5bo19bo$13bobo59b
2o18b2o18b2o18b2o18b2o$13bo87b2o$101bobo$b2o56bobo39bo$obo56b2o$2bo51b
3o3bo$56bo$55bo4b2o$60bobo$60bo8$130bo$131bo$129b3o12bo$83bobo3bobo11b
o9b2o18b2o8bo$60bobo21b2o4b2o11bobo6bo2bo16bo2bo7b3o$61b2o21bo5bo12b2o
8b2o5b2o11b2o5b2o$21bobo37bo25b2o30bo2bo16bo2bo$21b2o40bo15bo6bobo10bo
20b2o18b2o$13b2o7bo10b2o3bo14b2o3bo3bo10b2o3bobo7bo4b2o3bobo13b2o18b2o
18b2o$12bo2bob2o13bo2bobobo12bo2bobobo2b3o7bo2bobobo12bo2bobobo13bobo
2bo14bobo2bo14bobo2bo$13bobob2o14bobob2o14bobob2o14bobob2o14bobob2o3bo
bo8bobobobob2o10bobobobob2o10bobobobo$12b2obo5b3o8b2obo16b2obo16b2obo
16b2obo6b2o8b2obo2b2ob2o9b2obo2b2ob2o9b2obo2b2o$15bo5bo13bo19bo19bo19b
o7bo11bo19bo8b2o9bo$15b2o5bo12b2o18b2o18b2o18b2o18b2o18b2o7bobo8b2o$
20bo123bo$20b2o$19bobo80b2o$101b2o$103bo14$45bo3bo$43bobo3bobo40bo$44b
2o3b2o41bobo$92b2o$47b3o40bo$49bo38bobo$14b2o18b2o12bo5b2o18b2o13b2o3b
2o18b2o18b2o18b2o$13bobo2bo14bobo2bo14bobo2bo14bobo2bo7b2o5bobo2bo16bo
2bo16bo2bo16bo2bo$13bobobobo3bo9bobobobo13bobobobo13bobobobo5bobo5bobo
bobo12bo2bobobo12bo2bobobo12bo2bobobo$12b2obo2b2ob2o9b2obo2bo13b2obo2b
o12bobobo2bo8bo3bobobo2bo12bobobo2bo8bo3bobobo2bo12bobobo2bo$15bo6b2o
11bo19bo15b2o2bo15b2o2bo15b2o2bo12b2ob2o2bo16bo2bo$15b2o18b2o18b2o18b
2o18b2o18b2o10b2o6b2o18b2o$24b3o$24bo99b3o$25bo100bo$125bo!
Extrementhusiast wrote:Finishd a fifth in 25 gliders
I could never figure this one out, but seeing your synthesis, in retrospect, it seems like the obvious way to do this.
Extrementhusiast wrote:Finished a sixth in 29 gliders
The final step looks like it could be quite useful for mutating many objects with mango-shaped projections.
Extrementhusiast wrote:Finished a seventh in 35 gliders:
This one also should have been "obvious". In fact, I'm pretty sure the expert system extrapolated the one with the claw (i.e. predecessor from second last step) from this one (with beehive)! I have explicit rules in the database for beehive-to-claw, but have explicitly left out claw-to-beehive to avoid looping (i.e. claw buildable from beehive, beehive buildable from claw - even though neither may be otherwise buildable). Unfortunately, this makes some objects slip through the cracks if the claw form is more natural to make first. (The same dilemma exists for other paired constructs, like snake <-> carrier, eater <-> bookend, and loaf <-> tail).
Extrementhusiast wrote:... A thirteenth still life in 56 gliders:
Down to 58 now. Very impressive! I had an (all too brief) burst of inspiration around September and managed to polish off about a dozen or two of them at that time too. You're making me seriously consider replacing my search engine by
mailto:extrementhusiast
Extrementhusiast wrote:Elkies's P5 with tub in 28 gliders:
I recently also came up with a 28-glider solution (i.e. adding the tub as an afterthought), which is difficult to do normally, but happens to be easy with the oscillator providing a convenient temporary spark at just the right time.
Code: Select all
x = 29, y = 17, rule = B3/S23
12bo$11bo$bo9b3o7bo$o2b3o14bo2b3o$2bo19bo$3bobo2bo14bobo2bo$2b2ob4o13b
2ob4o$4bo19bo$4bobo17bobo$5b2o7bobo8bobo$14b2o10bo$10b2o3bo$10bobo$10b
o$4b2o$5b2o$4bo!
However, your method looks like it could be much more generally useful for making other Elkies's P5 varients. I've made a list of all such variants up to 25 bits (plus a few interesting larger ones), and while there are many, all can be made from about half a dozen irreducable "base" objects. The smallest two remaining ones (22 and 23 bits) are these:
Code: Select all
x = 29, y = 8, rule = B3/S23
bo19bo$o2b3o14bo2b3o$2bo19bo$3bobo2bo14bobo2bo$2b2ob4o13b2ob4o$bo2bo
16bo2bo$b2o3bo13bobo3bo$5b2o14bo3b2o!
Codeholic wrote:That makes the century eater synthesis in just 10 gliders:
These are some trivial stabilizer variants that may actually be useful:
Code: Select all
#C Century eater w/house (cheapest; 9 gliders)
#C Century eater w/tub (smallest at 18 bits; 10 gliders)
#C Century eater w/snake (shallowest profile; 18 gliders)
x = 149, y = 67
44bo33bo$45bo33bo3bo18boo18boo$43b3o31b3oboo18bobbo16bobbo$82boo17bobb
o16bobbo3bo$47bo54boo18boobboo$46bo80boo$46b3o$$10bobo50booboo68bo7bo$
10boo43bo7bo3bo68bobo4bobo$bbobo6bo42bo9b3o69boo6bo$bboo50b3o$3bo17b3o
17b3o18b5o14b3o17b3o17b3o18b5o$5bo20boo18boo13bobbobbo18boo18boo18boo
13bobbobbo$4boo20boo18boo13boo3bobo17boo18boo18boo13boo3bobo$4bobo60b
oo78boo$$39boo$40boo76bo$39bo78boo$52boo63bobo$51boo81bo$53bo79boo$
133bobo$43boo$44boo76bo$43bo78boo$121bobo12$78bobo$79boo40bo$44bo34bo
39bobo$45bo19bo6bo12bo34boo$boo40b3o18bobo6bo10bobo16boo18boo$obobo59b
obo4b3o4bobo3bobo5bobo7bobo17bobo$bbobobo33b3o22bo13boo4bo6boo9bo19bo$
4boo36bo36bo13bo$9boo15bo14bo4bo19bo7b3o9bo$8boo15bobo17bobo17bobo8bo
8bobo$10bo14boo18boo18boo8bo9boo8bo8boboo16boboo16boboo$94bo9boobo16b
oobo16boobo$94b3o$b3o17b3o17b3o17b3o17b3o18b5o15b5o15b5o$6boo18boo18b
oo18boo18boo13bobbobbo13bobbobbo13bobbobbo$6boo18boo18boo18boo18boo13b
oo3bobo12boo3bobo12boo3bobo$107boo18boo18boo$$79boo$80boo$79bo$92boo$
91boo$93bo$$83boo$84boo$83bo!
Sokwe wrote:Some more converters (the top one can be adjusted to form an aircraft carrier instead of a snake):
I knew about the top one in 1999. Top wing to bookend was known, but bottom one is news to me. Both wing to house from 2 gliders appear new.
Sokwe wrote:Here's an 8-glider synthesis of a 15-cell still life:
Here are the new (7-glider) and traditional (10-glider) syntheses of this. The new one came up fairly recently. I'm not sure where or when (I don't have my notes handy at the moment on this computer - something I plan to remedy soon).
Code: Select all
x = 123, y = 61, rule = B3/S23
6bo$4b2o$5b2o46bo$obo50bobo$b2o50b2o$bo76b2o18b2o18b2o$54bo23b2o18b2o
18b2o$53b2o27bo19bo19bo$24b3o17b3o6bobo22b5o15b5o15b5o$78bo19bo19bo$
81b2o18b2o18b2o$74bo6b2o11bo6b2o18b2o$74bo19bo$74bo19bo2$15bobo11bo19b
o27bo19bo$15b2o12bo19bo26bobo17bobo$16bo12bo19bo27bobo17bobo$78bo19bo$
13b2o$12b2o81b3o$14bo82bo$96bo16$109bo$108bo$108b3o3$55bobo53bo$56b2o
52b2o$56bo21b2o18b2o10bobo5b2o$78b2o18b2o18b2o$53bo68bo$54b2o22b4o16b
4o5b3o8b5o$53b2o6b2o15bo2bo16bo2bo5bo10bo$61bobo44bo12b2o$61bo59b2o2$
59b2o$58bobo$60bo38b2o$100b2o6b2o$99bo7b2o$103b3o3bo$105bo$104bo!