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Re: Thread for your unsure discoveries
Posted: August 12th, 2016, 5:25 pm
by muzik
Some still life components close to the new natural xs56:
Code: Select all
x = 29, y = 13, rule = B3/S23
4bo3bo11bo3bo$3bobobobo9bobobobo$3bobobobo9bobobobo$b2o2bobob3o5b2o2bo
bob3o$o4bobo4bo3bo4bobo4bo$5o3b4o5b5ob6o2$5o3b4o5b5ob6o$o4bobo4bo3bo4b
obo4bo$b2o2bobob3o5b3obobo2b2o$3bobobobo9bobobobo$3bobobobo9bobobobo$
4bo3bo11bo3bo!
Re: Thread for your unsure discoveries
Posted: August 12th, 2016, 7:22 pm
by Gamedziner
Gamedziner wrote:Stabilizer for even length-n hollow square polyominoes.
Code: Select all
14b2ob2o20b2ob2o$10b2obobobobob2o12b2obobobobob2o$6b2obobobobobobobobob2o4b2obobobobobobobobob2o$5bobobobobobobobobobobobo2bobobobobobobobobobobobo$5bobobobobobobobobobobobo2bobobobobobobobobobobobo$3b3obobobobobobobobobobob4obobobobobobobobobobob3o$2bo4bobobobobobobobobobo6bobobobobobobobobobo4bo$2b6obobobobobobobobob8obobobobobobobobob6o$9bobobobobobobobo10bobobobobobobobo$2b8obobobobobobob12obobobobobobob8o$bo9bobobobobobo14bobobobobobo9bo$b11obobobobob16obobobobob11o$13bobobobo18bobobobo$b13obobob20obobob13o$o14bobo22bobo14bo$16ob24ob16o2$16ob24ob16o$o14bobo22bobo14bo$b13obobob20obobob13o$13bobobobo18bobobobo$b11obobobobob16obobobobob11o$bo9bobobobobobo14bobobobobobo9bo$2b8obobobobobobob12obobobobobobob8o$9bobobobobobobobo10bobobobobobobobo$2b6obobobobobobobobob8obobobobobobobobob6o$2bo4bobobobobobobobobobo6bobobobobobobobobobo4bo$3b3obobobobobobobobobobob4obobobobobobobobobobob3o$5bobobobobobobobobobobobo2bobobobobobobobobobobobo$5bobobobobobobobobobobobo2bobobobobobobobobobobobo$3b3obobobobobobobobobobob4obobobobobobobobobobob3o$2bo4bobobobobobobobobobo6bobobobobobobobobobo4bo$2b6obobobobobobobobob8obobobobobobobobob6o$9bobobobobobobobo10bobobobobobobobo$2b8obobobobobobob12obobobobobobob8o$bo9bobobobobobo14bobobobobobo9bo$b11obobobobob16obobobobob11o$13bobobobo18bobobobo$b13obobob20obobob13o$o14bobo22bobo14bo$16ob24ob16o2$16ob24ob16o$o14bobo22bobo14bo$b13obobob20obobob13o$13bobobobo18bobobobo$b11obobobobob16obobobobob11o$bo9bobobobobobo14bobobobobobo9bo$2b8obobobobobobob12obobobobobobob8o$9bobobobobobobobo10bobobobobobobobo$2b6obobobobobobobobob8obobobobobobobobob6o$2bo4bobobobobobobobobobo6bobobobobobobobobobo4bo$3b3obobobobobobobobobobob4obobobobobobobobobobob3o$5bobobobobobobobobobobobo2bobobobobobobobobobobobo$5bobobobobobobobobobobobo2bobobobobobobobobobobobo$6b2obobobobobobobobob2o4b2obobobobobobobobob2o$10b2obobobobob2o12b2obobobobob2o$14b2ob2o20b2ob2o!
Using more squares and the same stabilization method, you can make infinitely many different (albeit very dirty) fuses.
(If I could name this, I would call it
Squareflower.)
(I figured I'd "bump" my previous post back to visible space since it seems the corner component has come into relevancy)
Re: Thread for your unsure discoveries
Posted: August 14th, 2016, 10:06 am
by HartmutHolzwart
GUYTU6J wrote:BlinkerSpawn wrote:Are there any greyships that use chickenwire?
There are some in jslife - velocity-c2 - chickenwire-c2
Nice to know someone is interested- I worked on this in 2006 and 2009:
Code: Select all
x = 421, y = 337, rule = B3/S23
35$289b4o$288b6o$287b2ob4o$288b2o3$268b4o19bo$267b6o20bo$266b2ob4o18b
4o$267b2o21b2o$288b2obo$288bo2b2o$247b4o19bo17bo$246b6o20bo16b6o$245b
2ob4o18b4o$246b2o21b2o18b6o$267b2obo17bo3b3o$267bo2b2o16bo$226b4o19bo
17bo20b2obo$225b6o20bo16b6o16b2o$224b2ob4o18b4o38b2o$225b2o21b2o18b6o
18b3ob2o$246b2obo17bo3b3o17bo4b2o$246bo2b2o16bo23bo4bo$205b4o19bo17bo
20b2obo20b2obo$204b6o20bo16b6o16b2o22bo$203b2ob4o18b4o38b2o27b2o$204b
2o21b2o18b6o18b3ob2o17b2o2b4o$225b2obo17bo3b3o17bo4b2o17b2o2bob2o$225b
o2b2o16bo23bo4bo17bo2bobo$184b4o19bo17bo20b2obo20b2obo18b2ob2obo$183b
6o20bo16b6o16b2o22bo18b2o5bob2o$182b2ob4o18b4o38b2o27b2o12bob2o2bob2o$
183b2o21b2o18b6o18b3ob2o17b2o2b4o12b4obobo$204b2obo17bo3b3o17bo4b2o17b
2o2bob2o13bobobobo$204bo2b2o16bo23bo4bo17bo2bobo18bobobobo$163b4o19bo
17bo20b2obo20b2obo18b2ob2obo19bobobo$162b6o20bo16b6o16b2o22bo18b2o5bob
2o18bobo$161b2ob4o18b4o38b2o27b2o12bob2o2bob2o14b3obo$162b2o21b2o18b6o
18b3ob2o17b2o2b4o12b4obobo14bo2bobob2o$183b2obo17bo3b3o17bo4b2o17b2o2b
ob2o13bobobobo14bo4bo$183bo2b2o16bo23bo4bo17bo2bobo18bobobobo12b2obobo
$142b4o19bo17bo20b2obo20b2obo18b2ob2obo19bobobo15b2obo$141b6o20bo16b6o
16b2o22bo18b2o5bob2o18bobo16bobo$140b2ob4o18b4o38b2o27b2o12bob2o2bob2o
14b3obo18bo$141b2o21b2o18b6o18b3ob2o17b2o2b4o12b4obobo14bo2bobob2o16bo
2bo2bobo$162b2obo17bo3b3o17bo4b2o17b2o2bob2o13bobobobo14bo4bo19bob2ob
3o12b4o$162bo2b2o16bo23bo4bo17bo2bobo18bobobobo12b2obobo20b2ob4o12bo3b
o$121b4o19bo17bo20b2obo20b2obo18b2ob2obo19bobobo15b2obo19bobo17bo$120b
6o20bo16b6o16b2o22bo18b2o5bob2o18bobo16bobo12b2o4b2o2b3o15bo2bo$119b2o
b4o18b4o38b2o27b2o12bob2o2bob2o14b3obo18bo13b4o4b2o$120b2o21b2o18b6o
18b3ob2o17b2o2b4o12b4obobo14bo2bobob2o16bo2bo2bobo3b2ob2o5b5o13b8o$
141b2obo17bo3b3o17bo4b2o17b2o2bob2o13bobobobo14bo4bo19bob2ob3o5b2o24b
10o3b2o$141bo2b2o16bo23bo4bo17bo2bobo18bobobobo12b2obobo20b2ob4o17bobo
10b2ob8o2b2ob2o$100b4o19bo17bo20b2obo20b2obo18b2ob2obo19bobobo15b2obo
19bobo22b2o12b2o11b4o$99b6o20bo16b6o16b2o22bo18b2o5bob2o18bobo16bobo
12b2o4b2o2b3o20bob2o23b2o$98b2ob4o18b4o38b2o27b2o12bob2o2bob2o14b3obo
18bo13b4o4b2o9b2o11b3o$99b2o21b2o18b6o18b3ob2o17b2o2b4o12b4obobo14bo2b
obob2o16bo2bo2bobo3b2ob2o5b5o4b2ob6o5b2o23bob4o$120b2obo17bo3b3o17bo4b
2o17b2o2bob2o13bobobobo14bo4bo19bob2ob3o5b2o17b8o3b2obo11b2o9b2obob2o$
120bo2b2o16bo23bo4bo17bo2bobo18bobobobo12b2obobo20b2ob4o17bobo5b5ob2ob
obo12b2ob9o3b2ob2o2bobo$79b4o19bo17bo20b2obo20b2obo18b2ob2obo19bobobo
15b2obo19bobo22b2o13b3obob2o4b2o4bob9obo5b4ob2o$78b6o20bo16b6o16b2o22b
o18b2o5bob2o18bobo16bobo12b2o4b2o2b3o20bob2o6bobo5bobo4b2ob2o2bobo9bo
5bo6b2o$77b2ob4o18b4o38b2o27b2o12bob2o2bob2o14b3obo18bo13b4o4b2o9b2o
11b3o8bob2o2b2obobo2bo2bob2o2bobo2b4ob2o3bobo2b4o$78b2o21b2o18b6o18b3o
b2o17b2o2b4o12b4obobo14bo2bobob2o16bo2bo2bobo3b2ob2o5b5o4b2ob6o5b2o8bo
7bobobobobobobobobobobobob2o4b2o3bo3bob2o$99b2obo17bo3b3o17bo4b2o17b2o
2bob2o13bobobobo14bo4bo19bob2ob3o5b2o17b8o3b2obo7b2obo3bobobobobobobob
obobobobobo2bob2o3bo4bo$99bo2b2o16bo23bo4bo17bo2bobo18bobobobo12b2obob
o20b2ob4o17bobo5b5ob2obobo8bobobo2bobobobobobobobobobobobobobo3bo5b3o$
81bo17bo20b2obo20b2obo18b2ob2obo19bobobo15b2obo19bobo22b2o13b3obob2o4b
2obobo2bobobobobobobobobobobobobobobo2bobo2b2o2bo$83bo16b6o16b2o22bo
18b2o5bob2o18bobo16bobo12b2o4b2o2b3o20bob2o6bobo5bobo4bobobobo3bobobob
obobobobobobobobobobobobobo$81b4o38b2o27b2o12bob2o2bob2o14b3obo18bo13b
4o4b2o9b2o11b3o8bob2o2b2obobo2bobo3bobobobobobobobobobobobobobobobobob
obobob6o$80b2o18b6o18b3ob2o17b2o2b4o12b4obobo14bo2bobob2o16bo2bo2bobo
3b2ob2o5b5o4b2ob6o5b2o8bo7bobobobobobobobobobobobobobobobobobobobobobo
bobobobobobo6bob2o$78b2obo17bo3b3o17bo4b2o17b2o2bob2o13bobobobo14bo4bo
19bob2ob3o5b2o17b8o3b2obo7b2obo3bobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobob6ob3o$78bo2b2o16bo23bo4bo17bo2bobo18bobobobo12b2o
bobo20b2ob4o17bobo5b5ob2obobo8bobobo2bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobo10bo$78bo20b2obo20b2obo18b2ob2obo19bobobo
15b2obo19bobo22b2o13b3obob2o4b2obobo2bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobob8o2bo$79b6o16b2o22bo18b2o5bob2o18bobo16bob
o12b2o4b2o2b3o20bob2o6bobo5bobo4bobobobo3bobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobo8b2o$102b2o27b2o12bob2o2bob2o14b3obo
18bo13b4o4b2o9b2o11b3o8bob2o2b2obobo2bobo3bobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobob9o$79b6o18b3ob2o17b2o2b4o12b
4obobo14bo2bobob2o16bo2bo2bobo3b2ob2o5b5o4b2ob6o5b2o8bo7bobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo7b
o$78bo3b3o17bo4b2o17b2o2bob2o13bobobobo14bo4bo19bob2ob3o5b2o17b8o3b2ob
o7b2obo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobob6o$78bo23bo4bo17bo2bobo18bobobobo12b2obobo20b2o
b4o17bobo5b5ob2obobo8bobobo2bobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobo6bob2o$78b2obo20b2obo18b
2ob2obo19bobobo15b2obo19bobo22b2o13b3obob2o4b2obobo2bobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
b6ob3o$80b2o22bo18b2o5bob2o18bobo16bobo12b2o4b2o2b3o20bob2o6bobo5bobo
4bobobobo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobo10bo$81b2o27b2o12bob2o2bob2o14b3obo18bo13b
4o4b2o9b2o11b3o8bob2o2b2obobo2bobo3bobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobob8o2bo$82b
3ob2o17b2o2b4o12b4obobo14bo2bobob2o16bo2bo2bobo3b2ob2o5b5o4b2ob6o5b2o
8bo7bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobo8b2o$81bo4b2o17b2o2bob2o
13bobobobo14bo4bo19bob2ob3o5b2o17b8o3b2obo7b2obo3bobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobob9o$81bo4bo17bo2bobo18bobobobo12b2obobo20b2ob4o
17bobo5b5ob2obobo8bobobo2bobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
7bo$81b2obo18b2ob2obo19bobobo15b2obo19bobo22b2o13b3obob2o4b2obobo2bobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobob6o$83bo18b2o5bob2o18bobo16bob
o12b2o4b2o2b3o20bob2o6bobo5bobo4bobobobo3bobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo6bob2o$89b2o12bob2o2bob2o14b3obo18bo13b4o4b2o9b2o11b
3o8bob2o2b2obobo2bobo3bobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobob6ob3o$84b2o2b4o12b4obobo14bo2bobob2o16bo2bo2bobo3b2ob2o5b5o4b2ob
6o5b2o8bo7bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobo10bo$84b2o2bob2o13bobobobo14bo4bo19bob2ob3o5b2o17b8o3b2obo7b2obo
3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
8o2bo$83bo2bobo18bobobobo12b2obobo20b2ob4o17bobo5b5ob2obobo8bobobo2bob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
8b2o$82b2ob2obo19bobobo15b2obo19bobo22b2o13b3obob2o4b2obobo2bobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob9o$81b
2o5bob2o18bobo16bobo12b2o4b2o2b3o20bob2o6bobo5bobo4bobobobo3bobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo7bo$82bo
b2o2bob2o14b3obo18bo13b4o4b2o9b2o11b3o8bob2o2b2obobo2bobo3bobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob6o$
83b4obobo14bo2bobob2o16bo2bo2bobo3b2ob2o5b5o4b2ob6o5b2o8bo7bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobo6bob2o$84bobobobo14bo4bo19bob2ob3o5b2o17b8o3b2obo7b2obo3b
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobob6ob3o$86bobobobo12b2obobo20b2ob4o17bobo5b5ob
2obobo8bobobo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobo10bo$87bobobo15b2obo19bobo
22b2o13b3obob2o4b2obobo2bobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobob8o2bo$89bobo16bob
o12b2o4b2o2b3o20bob2o6bobo5bobo4bobobobo3bobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
o8b2o$85b3obo18bo13b4o4b2o9b2o11b3o8bob2o2b2obobo2bobo3bobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobob9o$84bo2bobob2o16bo2bo2bobo3b2ob2o5b5o4b2ob6o5b
2o8bo7bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobo7bo$84bo4bo19b
ob2ob3o5b2o17b8o3b2obo7b2obo3bobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobob6o$84b2obobo20b2ob4o17bobo5b5ob2obobo8bobobo2bobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobo6bob2o$86b2obo19bobo22b2o
13b3obob2o4b2obobo2bobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobob6ob3o$87bobo12b2o4b2o2b3o20bob2o6bobo5bobo4bobobobo3bobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobo10bo$87bo13b4o4b2o9b2o11b
3o8bob2o2b2obobo2bobo3bobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobob8o2bo$88bo2bo2bobo3b2ob2o5b5o4b2ob6o5b2o8bo7bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo8b
2o$88bob2ob3o5b2o17b8o3b2obo7b2obo3bobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobob9o$89b2ob4o17bobo5b5ob2o
bobo8bobobo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobo7bo$88bobo22b2o13b3obob2o4b2obobo2bobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
b6o$81b2o4b2o2b3o20bob2o6bobo5bobo4bobobobo3bobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobo6bob2o$80b4o
4b2o9b2o11b3o8bob2o2b2obobo2bobo3bobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobob6ob3o$79b2ob2o5b
5o4b2ob6o5b2o8bo7bobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobo10bo$80b2o17b8o3b2o
bo7b2obo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobob8o2bo$92bobo5b5ob2obobo
8bobobo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobo8b2o$92b2o13b3obob2o4b
2obobo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobob9o$23bo2bo66bob2o6bobo
5bobo4bobobobo3bobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo7bo$22bo55b2o
11b3o8bob2o2b2obobo2bobo3bobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
ob6o$22bo3bo39bo2bo7b2ob6o5b2o8bo7bobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobo6bob2o$22b4o39bo12b8o3b2obo7b2obo3bobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobob6ob3o$29bo24b2o
9bo3bo9b5ob2obobo8bobobo2bobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobo10bo$28bo2bo21b4o8b4o17b3obob2o4b2obobo2bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobob8o2bo$27bo3b
o20b2ob2o17bo7bobo5bobo4bobobobo3bobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobo8b2o$26bo26b2o15b3obo6bob2o2b2obobo2bob
o3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobob9o$26bo2b2o29bobo7b2o8bo7bobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobo7bo$26bo31bo3bo5b2ob
o7b2obo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobob6o$27bo3bo25b2o10bo8bobobo2bobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobo6bobo$28bo2bo12b2o10bo4bo4b2obob2o4b2obobo2bobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobob6ob5o$29bo4b2o7b2ob2o7b2obo8bobobo4bobobobo3bobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobo8bo3bo$22b4o6b6o6b4o6bobobo5b2obobobo2bobo3bobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobob6obobobo$22bo3bo4bo3bobobo5b5o3b2obobo5b2obobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobo9bo$22bo6b2o4bo12b2ob2obobobobo2bo3bobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobo3b4o$23bo2bo2bo6bo11bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo6bobo$29bo4bo
bo6b2o2bo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobo6bobo$30b6o6bo3b3ob3obobobobo2bo3bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobo3b4o$32b2o2bo3bo4b2obobo2b2obobo5b2obobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobo9bo$34b2obo3bo2b2o8bobobo5b2obobobo2bobo3bo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobob6obobobo$41b3o11b2obo8bobobo4bobobobo3bob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobo8bo3bo$56bo4bo4b2obob2o4b2obobo2bobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobob6ob5o$57b2o10bo8bobobo2bobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo6bobo$58bo3bo5b
2obo7b2obo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobob6o$60bobo7b2o8bo7bobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo7bo
$53b2o15b3obo6bob2o2b2obobo2bobo3bobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobob9o$52b2ob2o17bo7bobo5bobo4bobobo
bo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
o8b2o$53b4o8b4o17b3obob2o4b2obobo2bobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobob8o2bo$54b2o9bo3bo9b5ob2obobo8bobobo2bob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo10bo$
65bo12b8o3b2obo7b2obo3bobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobob6ob3o$66bo2bo7b2ob6o5b2o8bo7bobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobo6bob2o$78b2o11b3o8bob2o2b2obobo2b
obo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobob6o$93bob2o6bobo5bob
o4bobobobo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobo7bo$92b2o13b3obob2o
4b2obobo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobob9o$92bobo5b5ob2obobo
8bobobo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobo8b2o$80b2o17b8o3b2obo
7b2obo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobob8o2bo$79b2ob2o5b5o4b2ob6o
5b2o8bo7bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobo10bo$80b4o4b2o9b2o11b3o8bob
2o2b2obobo2bobo3bobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobob6ob3o$81b2o4b2o2b3o20bob2o6bobo5b
obo4bobobobo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobo6bob2o$88bobo22b2o13b3obob2o4b2obobo2bobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobob6o$89b2ob4o17bobo5b5ob2obobo8bobobo2bobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo7bo$88bob2ob3o
5b2o17b8o3b2obo7b2obo3bobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobob9o$88bo2bo2bobo3b2ob2o5b5o4b2ob6o5b2o
8bo7bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobo8b2o$87bo13b4o4b2o9b2o11b3o8bob2o2b2obobo2bobo3bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobob8o2bo$87bobo12b2o
4b2o2b3o20bob2o6bobo5bobo4bobobobo3bobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobo10bo$86b2obo19bobo22b2o13b3obob2o4b2obobo2bobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobob6ob3o$84b2obobo20b2o
b4o17bobo5b5ob2obobo8bobobo2bobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobo6bob2o$84bo4bo19bob2ob3o5b2o17b8o3b2obo7b2obo3bobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobob6o$84bo2bobob2o16bo2bo2bobo
3b2ob2o5b5o4b2ob6o5b2o8bo7bobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobo7bo$85b3obo18bo13b4o4b2o9b2o11b3o8bob2o2b2obobo2bobo3bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobob9o$89bobo16bobo12b2o4b2o2b3o20bob2o6bobo5bob
o4bobobobo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobo8b2o$87bobobo15b2obo19bobo22b
2o13b3obob2o4b2obobo2bobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobob8o2bo$86bobobobo12b
2obobo20b2ob4o17bobo5b5ob2obobo8bobobo2bobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo10b
o$84bobobobo14bo4bo19bob2ob3o5b2o17b8o3b2obo7b2obo3bobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobob6ob3o$83b4obobo14bo2bobob2o16bo2bo2bobo3b2ob2o5b5o4b2ob6o5b2o
8bo7bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobo6bob2o$82bob2o2bob2o14b3obo18bo13b4o4b2o9b
2o11b3o8bob2o2b2obobo2bobo3bobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobob6o$81b2o5bob2o18bobo16bobo12b2o4b
2o2b3o20bob2o6bobo5bobo4bobobobo3bobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobo7bo$82b2ob2obo19bobobo15b2obo19bobo
22b2o13b3obob2o4b2obobo2bobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobob9o$83bo2bobo18bobobobo12b2obobo20b2ob4o17bo
bo5b5ob2obobo8bobobo2bobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobo8b2o$84b2o2bob2o13bobobobo14bo4bo19bob2ob3o5b2o
17b8o3b2obo7b2obo3bobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobob8o2bo$84b2o2b4o12b4obobo14bo2bobob2o16bo2bo2bobo3b2ob
2o5b5o4b2ob6o5b2o8bo7bobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo10bo$89b2o12bob2o2bob2o14b3obo18bo13b4o4b2o9b2o11b3o
8bob2o2b2obobo2bobo3bobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bob6ob3o$83bo18b2o5bob2o18bobo16bobo12b2o4b2o2b3o20bob2o6bobo5bobo4bob
obobo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobo6bob2o$81b2obo18b
2ob2obo19bobobo15b2obo19bobo22b2o13b3obob2o4b2obobo2bobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobob6o$81bo4bo17bo2bobo18bobobobo12b2obobo20b2o
b4o17bobo5b5ob2obobo8bobobo2bobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bo7bo$81bo4b2o17b2o2bob2o13bobobobo14bo4bo19bob2ob3o5b2o17b8o3b2obo7b
2obo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobob9o$82b3ob2o17b2o2b4o
12b4obobo14bo2bobob2o16bo2bo2bobo3b2ob2o5b5o4b2ob6o5b2o8bo7bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo8b2o$81b2o27b2o12bob2o2bob2o14b3obo18bo
13b4o4b2o9b2o11b3o8bob2o2b2obobo2bobo3bobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob8o2bo$
80b2o22bo18b2o5bob2o18bobo16bobo12b2o4b2o2b3o20bob2o6bobo5bobo4bobobob
o3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobo10bo$78b2obo20b2obo18b2ob2obo19bobobo15b2obo19bobo
22b2o13b3obob2o4b2obobo2bobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobob6ob3o$78bo23bo4bo17bo2bobo
18bobobobo12b2obobo20b2ob4o17bobo5b5ob2obobo8bobobo2bobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
6bob2o$78bo3b3o17bo4b2o17b2o2bob2o13bobobobo14bo4bo19bob2ob3o5b2o17b8o
3b2obo7b2obo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobob6o$79b6o18b3ob2o17b2o2b4o12b4obobo14bo2bob
ob2o16bo2bo2bobo3b2ob2o5b5o4b2ob6o5b2o8bo7bobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobo7bo$102b2o27b2o
12bob2o2bob2o14b3obo18bo13b4o4b2o9b2o11b3o8bob2o2b2obobo2bobo3bobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob9o$79b6o
16b2o22bo18b2o5bob2o18bobo16bobo12b2o4b2o2b3o20bob2o6bobo5bobo4bobobob
o3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo8b2o$
78bo20b2obo20b2obo18b2ob2obo19bobobo15b2obo19bobo22b2o13b3obob2o4b2obo
bo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob8o2bo$
78bo2b2o16bo23bo4bo17bo2bobo18bobobobo12b2obobo20b2ob4o17bobo5b5ob2obo
bo8bobobo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
10bo$78b2obo17bo3b3o17bo4b2o17b2o2bob2o13bobobobo14bo4bo19bob2ob3o5b2o
17b8o3b2obo7b2obo3bobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobob6ob3o$80b2o18b6o18b3ob2o17b2o2b4o12b4obobo14bo2bobob2o16bo2bo2b
obo3b2ob2o5b5o4b2ob6o5b2o8bo7bobobobobobobobobobobobobobobobobobobobob
obobobobobobobo6bob2o$81b4o38b2o27b2o12bob2o2bob2o14b3obo18bo13b4o4b2o
9b2o11b3o8bob2o2b2obobo2bobo3bobobobobobobobobobobobobobobobobobobobob
6o$83bo16b6o16b2o22bo18b2o5bob2o18bobo16bobo12b2o4b2o2b3o20bob2o6bobo
5bobo4bobobobo3bobobobobobobobobobobobobobobobobo$81bo17bo20b2obo20b2o
bo18b2ob2obo19bobobo15b2obo19bobo22b2o13b3obob2o4b2obobo2bobobobobobob
obobobobobobobobo2bobo2b2o2bo$99bo2b2o16bo23bo4bo17bo2bobo18bobobobo
12b2obobo20b2ob4o17bobo5b5ob2obobo8bobobo2bobobobobobobobobobobobobobo
3bo5b3o$99b2obo17bo3b3o17bo4b2o17b2o2bob2o13bobobobo14bo4bo19bob2ob3o
5b2o17b8o3b2obo7b2obo3bobobobobobobobobobobobobo2bob2o3bo4bo$78b2o21b
2o18b6o18b3ob2o17b2o2b4o12b4obobo14bo2bobob2o16bo2bo2bobo3b2ob2o5b5o4b
2ob6o5b2o8bo7bobobobobobobobobobobobob2o4b2o3bo3bob2o$77b2ob4o18b4o38b
2o27b2o12bob2o2bob2o14b3obo18bo13b4o4b2o9b2o11b3o8bob2o2b2obobo2bo2bob
2o2bobo2b4ob2o3bobo2b4o$78b6o20bo16b6o16b2o22bo18b2o5bob2o18bobo16bobo
12b2o4b2o2b3o20bob2o6bobo5bobo4b2ob2o2bobo9bo5bo6b2o$79b4o19bo17bo20b
2obo20b2obo18b2ob2obo19bobobo15b2obo19bobo22b2o13b3obob2o4b2o4bob9obo
5b4ob2o$120bo2b2o16bo23bo4bo17bo2bobo18bobobobo12b2obobo20b2ob4o17bobo
5b5ob2obobo12b2ob9o3b2ob2o2bobo$120b2obo17bo3b3o17bo4b2o17b2o2bob2o13b
obobobo14bo4bo19bob2ob3o5b2o17b8o3b2obo11b2o9b2obob2o$99b2o21b2o18b6o
18b3ob2o17b2o2b4o12b4obobo14bo2bobob2o16bo2bo2bobo3b2ob2o5b5o4b2ob6o5b
2o23bob4o$98b2ob4o18b4o38b2o27b2o12bob2o2bob2o14b3obo18bo13b4o4b2o9b2o
11b3o$99b6o20bo16b6o16b2o22bo18b2o5bob2o18bobo16bobo12b2o4b2o2b3o20bob
2o23b2o$100b4o19bo17bo20b2obo20b2obo18b2ob2obo19bobobo15b2obo19bobo22b
2o12b2o11b4o$141bo2b2o16bo23bo4bo17bo2bobo18bobobobo12b2obobo20b2ob4o
17bobo10b2ob8o2b2ob2o$141b2obo17bo3b3o17bo4b2o17b2o2bob2o13bobobobo14b
o4bo19bob2ob3o5b2o24b10o3b2o$120b2o21b2o18b6o18b3ob2o17b2o2b4o12b4obob
o14bo2bobob2o16bo2bo2bobo3b2ob2o5b5o13b8o$119b2ob4o18b4o38b2o27b2o12bo
b2o2bob2o14b3obo18bo13b4o4b2o$120b6o20bo16b6o16b2o22bo18b2o5bob2o18bob
o16bobo12b2o4b2o2b3o15bo2bo$121b4o19bo17bo20b2obo20b2obo18b2ob2obo19bo
bobo15b2obo19bobo17bo$162bo2b2o16bo23bo4bo17bo2bobo18bobobobo12b2obobo
20b2ob4o12bo3bo$162b2obo17bo3b3o17bo4b2o17b2o2bob2o13bobobobo14bo4bo
19bob2ob3o12b4o$141b2o21b2o18b6o18b3ob2o17b2o2b4o12b4obobo14bo2bobob2o
16bo2bo2bobo$140b2ob4o18b4o38b2o27b2o12bob2o2bob2o14b3obo18bo$141b6o
20bo16b6o16b2o22bo18b2o5bob2o18bobo16bobo$142b4o19bo17bo20b2obo20b2obo
18b2ob2obo19bobobo15b2obo$183bo2b2o16bo23bo4bo17bo2bobo18bobobobo12b2o
bobo$183b2obo17bo3b3o17bo4b2o17b2o2bob2o13bobobobo14bo4bo$162b2o21b2o
18b6o18b3ob2o17b2o2b4o12b4obobo14bo2bobob2o$161b2ob4o18b4o38b2o27b2o
12bob2o2bob2o14b3obo$162b6o20bo16b6o16b2o22bo18b2o5bob2o18bobo$163b4o
19bo17bo20b2obo20b2obo18b2ob2obo19bobobo$204bo2b2o16bo23bo4bo17bo2bobo
18bobobobo$204b2obo17bo3b3o17bo4b2o17b2o2bob2o13bobobobo$183b2o21b2o
18b6o18b3ob2o17b2o2b4o12b4obobo$182b2ob4o18b4o38b2o27b2o12bob2o2bob2o$
183b6o20bo16b6o16b2o22bo18b2o5bob2o$184b4o19bo17bo20b2obo20b2obo18b2ob
2obo$225bo2b2o16bo23bo4bo17bo2bobo$225b2obo17bo3b3o17bo4b2o17b2o2bob2o
$204b2o21b2o18b6o18b3ob2o17b2o2b4o$203b2ob4o18b4o38b2o27b2o$204b6o20bo
16b6o16b2o22bo$205b4o19bo17bo20b2obo20b2obo$246bo2b2o16bo23bo4bo$246b
2obo17bo3b3o17bo4b2o$225b2o21b2o18b6o18b3ob2o$224b2ob4o18b4o38b2o$225b
6o20bo16b6o16b2o$226b4o19bo17bo20b2obo$267bo2b2o16bo$267b2obo17bo3b3o$
246b2o21b2o18b6o$245b2ob4o18b4o$246b6o20bo16b6o$247b4o19bo17bo$288bo2b
2o$288b2obo$267b2o21b2o$266b2ob4o18b4o$267b6o20bo$268b4o19bo3$288b2o$
287b2ob4o$288b6o$289b4o!
Re: Thread for your unsure discoveries
Posted: August 15th, 2016, 7:10 am
by Gamedziner
Code: Select all
2o$o$2bo$b2o$bo$3bo$2b2o$2bo$4bo$3b2o$3bo$5bo$4b2o$4bo$6bo$5b2o$5bo$7bo$6b2o$6bo$8bo$7b2o9$b3o$3bo$2bo!
Knightfuse.
Re: Thread for your unsure discoveries
Posted: August 15th, 2016, 8:34 am
by muzik
Are there any withthegrain chicken wire greyships?
Re: Thread for your unsure discoveries
Posted: August 15th, 2016, 12:42 pm
by simsim314
Not sure if this can be used for something, but looks cool:
Code: Select all
x = 33, y = 40, rule = LifeHistory
5$11.2C$10.C2.C$9.C2.C$10.2C$5.2C$4.C.C$3.C.C$4.C$16.2C$15.C2.C$16.C.
C$17.C.2C$18.C2.C$19.C.C$20.C13$21.3C$21.C$22.C!
Alternative:
Code: Select all
x = 34, y = 40, rule = LifeHistory
3$10.2C$10.C.C$11.C2$8.2C$7.C.C6.2C$6.C.C6.C2.C$7.C8.C.C$17.C.2C$18.C
2.C$19.C.C$20.C16$24.3C$24.C$25.C!
Re: Thread for your unsure discoveries
Posted: August 20th, 2016, 9:16 am
by muzik
3c/8:
Code: Select all
x = 6, y = 6, rule = B3/S23
2bo$b3o$2ob2o2$4b2o$4b2o!
Re: Thread for your unsure discoveries
Posted: August 21st, 2016, 6:34 pm
by muzik
This is the (13,1)c/31 reaction, right?
Code: Select all
x = 186, y = 143, rule = B3/S23
o2b2o$b3o$2bo2$8bo$8bobo$8b2o3$16bo$14b2o$15b2o3$22bo$21bo$21b3o4$28bo
bo$28b2o$29bo3$35bo$35bobo$35b2o3$43bo$41b2o$42b2o3$49bo$48bo$48b3o4$
55bobo$55b2o$56bo3$62bo$62bobo$62b2o3$70bo$68b2o$69b2o3$76bo$75bo$75b
3o4$82bobo$82b2o$83bo3$89bo$89bobo$89b2o3$97bo$95b2o$96b2o3$103bo$102b
o$102b3o4$109bobo$109b2o$110bo3$116bo$116bobo$116b2o3$124bo$122b2o$
123b2o3$130bo$129bo$129b3o4$136bobo$136b2o$137bo3$143bo$143bobo$143b2o
3$151bo$149b2o$150b2o3$157bo$156bo$156b3o4$163bobo$163b2o$164bo3$170bo
$170bobo$170b2o3$178bo$176b2o$177b2o3$184bo$183bo$183b3o!
We need to continue construction of that ship tbh, after we've figured out (27,1)c/72
Re: Thread for your unsure discoveries
Posted: August 22nd, 2016, 6:36 pm
by muzik
Code: Select all
x = 28, y = 22, rule = B3/S23
6b2o10bo$18bo8bo$18bo8bo$27bo3$24bo$12bo11b2o$4bo6bobo6b2obo2bo$5bo7b
2o6b2o4bo$12b3o3bo5bobo$13bobo4bo4bo$9b3o2b2ob2obo$9b3o3b3o2b2o$16b4o
2bo$b2obo4bo5b4ob3o$2obo5b2ob5o$bo2b5obo2bobo$bo8bo2b2o4bo$o3bo6b2o6bo
$b3o3b5o$6b5o!
Code: Select all
x = 21, y = 16, rule = B3/S23
4bo11bo$4b2o9b2o$2bo3bo7bo3bo$4bobo7bobo$6bo7bo$6bo7bo$7bo5bo$6b2o5b2o
5$6b9o$2o17b2o$2o17b2o$9b3o!
get a better caterer than this but oh well.
Re: Thread for your unsure discoveries
Posted: August 26th, 2016, 2:35 pm
by muzik
I just need a p7 domino sparker...
Code: Select all
x = 5, y = 7, rule = B3/S23
4bo$4bo$2bo$3o$2bo$4bo$4bo!
Re: Thread for your unsure discoveries
Posted: August 26th, 2016, 3:14 pm
by dvgrn
muzik wrote:I just need a p7 domino sparker...
Huh. That does make it look like there ought to be a p7 T-nose sparker, to go along with the old p4 one and Achim Flammenkamp's
T-nosed p6. Maybe there is one and I just don't know about it. Prior art, anyone?
I don't think that standard domino sparkers will help here, because sparks in the previous generation would interfere with making the domino. But if you roll back the pattern by one tick, there are possible dominoes that could be supplied at least a little farther away from the T:
Code: Select all
x = 26, y = 7, rule = LifeHistory
4.C9.2C9.C$3.BC8.A9.A.C$.BA8.A9.A$3A8.A9.A$.BA8.A9.A$3.BC8.A9.A.C$4.C
9.2C9.C!
Don't be afraid to fire up JLS or WLS and set it to work on the problem... the worst any search program can do is make you horribly confused for a while.
Re: Thread for your unsure discoveries
Posted: August 26th, 2016, 3:48 pm
by muzik
Could pentadecathlon be considered a T-nose?
Code: Select all
x = 16, y = 3, rule = LifeHistory
2.E2.A4.A2.A$3E2.6A2.3A$2.E2.A4.A2.A!
Re: Thread for your unsure discoveries
Posted: August 26th, 2016, 4:23 pm
by BlinkerSpawn
The domino placement behind the dot spark appears unworkable:
Code: Select all
x = 9, y = 15, rule = LifeHistory
3.A$6A$2.3A.2A$6.2A$4.D.3A$2.C.D.2A$DA2.A2.A$DA2.A.3A$DA2.A2.A$2.C.D.
2A$4.D.3A$6.2A$2.3A.2A$6A$3.A!
The other placement looks like it could work, but any supporting oscillator could only have live cells in the rows immediately outside the red spark areas for that one generation per 7:
Code: Select all
x = 10, y = 15, rule = LifeHistory
5.A$2A6.2A$2.6A2$4.2D$3.C$.DA2.A$.DA2.A$.DA2.A$3.C$4.2D2$2.6A$2A6.2A$
5.A!
(Is that the qualifying criterion for a superfountain? That term confuses me.)
@muzik: The T there isn't really a "nose" in the same way as the T-nosed oscillators. In those, the T is always there in some form, but if you step the pentadecathlon 6 steps the nose "falls off".
Re: Thread for your unsure discoveries
Posted: August 26th, 2016, 4:26 pm
by dvgrn
muzik wrote:Could pentadecathlon be considered a T-nose?
Probably not
quite, though it can quite often be used to supply the same kind of one-bit spark.
In general a T-nose sparker will reach out to produce its one-bit spark (at the base of the 'T') in only one of its phases. For the other N-1 phases there shouldn't be any ON cells in that row or column.
A pentadecathlon turns that same base-of-the-T cell back ON again, four and five ticks later. So there could be some p15 or p15N reactions that a hypothetical true T-nosed p15 could successfully support, but a pentadecathlon can't support, because that secondary spark would interfere with something.
Re: Thread for your unsure discoveries
Posted: August 26th, 2016, 4:46 pm
by dvgrn
BlinkerSpawn wrote:(Is that the qualifying criterion for a superfountain? That term confuses me.)
I don't think the technical definition cares how fast the oscillator gets to the spark; what matters is how far away the rest of the oscillator is, when the spark is present. For a fountain there's one empty column or row between the one-bit spark and the oscillator. For a superfountain there are two completely empty columns or rows:
Code: Select all
#C 27-cell-high superfountain -- David Eppstein, 28 September 2002
x = 29, y = 27, rule = B3/S23
14bo3$10b2o5b2o$8bo3b5o3bo$6b3o4bobo4b3o$5bo3b2o2bobo2b2o3bo$9bo3bobo
3bo$2b2o7bobobobo7b2o$2bo2b3o3bobobobo3b3o2bo$3bobob3obobobobob3obobo$
bob2o3bo4bobo4bo3b2obo$obo2bo7bobo7bo2bobo$o2b2ob2o4bo3bo4b2ob2o2bo$b
2o2b3ob2o7b2ob3o2b2o$3b2o8b3o8b2o$3bo3b2obob5obob2o3bo$bobo4bob9obo4bo
bo$b2o3bo2bo2bo3bo2bo2bo3b2o$6b2obob2o3b2obob2o$7bobo9bobo$7bobob2o3b
2obobo$6b2obo3bobo3bob2o$10b4ob4o2$12b2ob2o$12b2ob2o!
This is slightly wider but much shorter than the superfountain shown on the LifeWiki -- it might rate a special mention. The diagonal clearance looks pretty good for this model.
EDIT: Actually Nicolay Beluchenko did a couple of rounds of further improvement in 2006, ending with this surprisingly small version:
Code: Select all
#C 18-cell-high superfountain -- Nicolay Beluchenko, 28 January 2006
x = 23, y = 18, rule = B3/S23
11bo3$5bo2bo5bo2bo$3b2o2bob5obo2b2o$5bo11bo$3bob2o9b2obo$bobo3b3o3b3o
3bobo$3obo13bob3o$10bobo$4b3o3bobo3b3o$4bo2bo3bo3bo2bo$3b4o2bobobo2b4o
$3b2o2b3obob3o2b2o$2bo3bo3bobo3bo3bo$3bo2bobobobobobo2bo$4bobob2o3b2ob
obo$5bo11bo!
Given these things are period 4, a superfountain has to find its way back to the spark pretty fast. There's still theoretically one tick's worth of leeway, but Nicolay also mentioned that he thought a 3-blank-row "ultrafountain" was definitely impossible: the search program he was using returned immediately with zero results, no matter how wide the search area was made. Karel Suhajda also did a search back in 2002 for p4 ultrafountains (then called "hyperfountain" -- Noam Elkies changed his terminology!) and concluded that symmetric p4 ultrafountains were impossible.
For the p5 three-blank-row case David Eppstein came up with a good partial -- not sure if this has since been completed, but I don't see anything in Jason Summers' p5 sparking oscillator collection. I guess this
would be called a "hyperfountain", since at p5, a 4-cell gap would be the "ultra"...
Code: Select all
#C partial p5 hyperfountain -- David Eppstein, 2 October 2002
x = 25, y = 39, rule = B3/S23
12bo4$6bo2b2obob2o2bo$4b5o2bobo2b5o$3bo4b2obobob2o4bo$2bob3o11b3obo$3b
o3bob7obo3bo$4b3o11b3o$6bo11bo$2b4ob3o5b3ob4o$bo4b4ob3ob4o4bo$b2o2b2o
4b3o4b2o2b2o$5bob4o3b4obo$11bobo$3b2ob2obobobobob2ob2o$2bo3bo4bobo4bo
3bo$2bobo3bo2bobo2bo3bobo$b2o2b4obo3bob4o2b2o$o2bo5b2o3b2o5bo2bo$2ob4o
11b4ob2o$3b8o3b8o$4o5b2o3b2o5b4o$o5b5o3b5o5bo$b4o2bo9bo2b4o$12bo$b4o3b
2ob3ob2o3b4o$bo2b3o5bo5b3o2bo$2bo2bo2bo7bo2bo2bo$obo3bobo7bobo3bobo$2o
4b3o7b3o4b2o$4b2obobo5bobob2o$3b5o2b2ob2o2b5o$3b2ob2ob2o3b2ob2ob2o$5b
2o11b2o$5bo13bo$bo2bo15bo2bo$2b2o17b2o!
Re: Thread for your unsure discoveries
Posted: August 26th, 2016, 4:57 pm
by muzik
Code: Select all
x = 5, y = 7, rule = B3/S23
3b2o$2bo$o$o$o$2bo$3b2o!
[[ LOOP 7 GPS 16 THUMBSIZE 2 ]]
Approximate depiction of the rotor.
WLSing this right now.
Re: Thread for your unsure discoveries
Posted: September 2nd, 2016, 10:32 pm
by gmc_nxtman
Unsalvagable p55:
Code: Select all
x = 30, y = 29, rule = LifeHistory
4.A$4.3A$7.A$6.A.A$6.A.A$7.A2$23.2A$22.A2.A$23.2A2$23.2A$22.A.A$9.3C
10.2A$9.C.C14.2A$2.2A5.C.C14.A.A$.A.A24.A$.A26.2A$2A4$16.2A.A$16.2A.
3A$22.A$16.2A.3A$17.A.A$17.A.A$18.A!
Re: Thread for your unsure discoveries
Posted: September 4th, 2016, 9:07 am
by muzik
Known? eater seed
Code: Select all
x = 14, y = 15, rule = B3/S23
11b2o$7bo2bo2bo$7bo3b2o$7bo5$5b2o$4bobo$6bo2$b2o$obo$2bo!
Re: Thread for your unsure discoveries
Posted: September 4th, 2016, 12:35 pm
by simsim314
muzik wrote:Known? eater seed
You should've learnt by now to estimate the probabilities of such events.
1. You should first evaluate the probability of your result. One fast way is to use
this site or cyclyman's apgsearch hauls.
In this site you can see that statistically eater appears 1/5K soups.
2. Now you should evaluate the degrees of freedom you have:
- You have 2 SLs, if we include p2 and other common SLs in all unique orientations we will get at ~20 options.
- 2 SLs Should be placed at some distance from each other, but not too far apart - say inside 10x10 box.
- We also have a glider, this glider will have lets also assume about 10 different lanes.
We get:
20 X 20 (SL pairs) X 10 X 10 (space) X 10 (glider lane) / 2 (symmetry) = 200K.
You can now see that with single glider, and even most common SLs placed pretty tight, you will get ~ 40 eaters.
Some of the eaters would be with junk of course, and basically this means that somewhere ~5-20 such seeds would exist. Yet you don't need an extra glider, and you see this is not such a huge find even with single glider. With extra glider which is located in 10x10 box and has 4 states you will get 40 X 400 eaters - i.e. around
10K seeds like yours.
That being said - shooting glider at SL pairs to find non common SLs seeds could be indeed interesting project, and if you would bother to collect
all such options and configurations into stamp collection, this would be pretty helpful, especially when shooting single glider, and getting less common SLs - as this is important for slow salvo construction.
This brings me to another point. It's very useful to know the applications and usages of your finding. The best way to go in my opinion, is to start from projects that use already existing technology and findings, this helps you to understand what is important and missing, and what's not.
Re: Thread for your unsure discoveries
Posted: September 4th, 2016, 2:37 pm
by biggiemac
Perhaps a more appealing presentation of muzik's discovery - it requires only two gliders on the same lane to produce an eater eating all later gliders on that lane. 16 is far too close for any construction toolkit, but I have seen applications including the linear propagator, in which an eater was needed on the construction lane.
Code: Select all
x = 18, y = 19, rule = B3/S23
15b2o$11bo2bo2bo$11bo3b2o$11bo5$9b2o$8bobo$10bo2$5b2o$4bobo$6bo2$b2o$o
bo$2bo!
Does an H-to-G0 with 16 tick separation exist? (Probabilistically, it's almost certainly a no)
Re: Thread for your unsure discoveries
Posted: September 4th, 2016, 3:08 pm
by muzik
I find it doing the thing I always do when bored: going into extended life, armouring a gun, and firing it into junk until a glider ester of some sort naturally appears.
The only ones I've ever seen are beacon (as a boat-bit) and the normal eater (in both classic eating and tail-end boat-bit).
Re: Thread for your unsure discoveries
Posted: September 4th, 2016, 4:59 pm
by simsim314
biggiemac wrote:Perhaps a more appealing presentation of muzik's discovery - it requires only two gliders on the same lane to produce an eater eating all later gliders on that lane.
As I mentioned there should be around 40, 2SL + glider -> eater interaction. The probability one of them is on the same lane should be 1/40 (8 orientations of an eater 2 of which are valid, and 10 possible lanes). So the guess is one of the options is on the same lane with single glider.
Additional glider - if it must be timed, adds ~40 more such options (4 glider states and 10 lane distances). This makes muzik's finding definitely more appealing in a sense that it's 1 out of 40 not 1 out of 10K. Yet it's still not that much.
On the other hand if we could use single lane and slow salvo, this will bring us up to 3 such solutions (one without extra glider + E-O options for the second glider). This is already interesting, because finding a single solution with so much assumptions, is kinda tricky, yet marginal (i.e. there could be 5 such solutions as well as non). Obviously adding third and fourth glider will increase the chances significantly.
Because such mechanism usually behaves as a stopper to glider flow, the number of allowed gliders shouldn't be limited. In this case the question could be: find 2SL constellation, to stop glider flow of any period. This might have some use fro self constructing circuits that use glider guns.
Re: Thread for your unsure discoveries
Posted: September 6th, 2016, 10:16 am
by dvgrn
simsim314 wrote:biggiemac wrote:Perhaps a more appealing presentation of muzik's discovery - it requires only two gliders on the same lane to produce an eater eating all later gliders on that lane.
...
Because such mechanism usually behaves as a stopper to glider flow, the number of allowed gliders shouldn't be limited. In this case the question could be: find 2SL constellation, to stop glider flow of any period. This might have some use [for] self constructing circuits that use glider guns.
The problem then would be to get the constellation into position, once the glider stream is flowing. Seems as if that would be expensive enough that the constellation wouldn't actually be useful.
Thinking about it another way -- my candidate solution to the 2sL problem would be
Code: Select all
x = 33, y = 32, rule = B3/S23
31b2o$31bo$29bobo$29b2o2$26b2o$26b2o3$21b2o$20bobo$22bo2$17b2o$16bobo$
18bo2$13b2o$12bobo$14bo2$9b2o$8bobo$10bo2$5b2o$4bobo$6bo2$b2o$obo$2bo!
... but, um, I can solve the problem with 1sL just as easily...!
The more practical version of the problem
has already been solved, in several different ways: given an active single-channel construction arm aimed at a workable elbow such as a simple block, what stream of gliders should you send to produce an appropriate eater and permanently shut down that arm?
Code: Select all
x = 693, y = 697, rule = B3/S23
691b2o$691b2o4$689b3o$691bo$690bo25$662b2o$663b2o$662bo22$638b3o$640bo
$639bo21$615b2o$614bobo$616bo22$591b2o$592b2o$591bo22$567b2o$568b2o$
567bo22$543b3o$545bo$544bo21$520bo$520b2o$519bobo22$496b2o$495bobo$
497bo26$468b2o$469b2o$468bo22$444b3o$446bo$445bo22$420b3o$422bo$421bo
34$384b2o$385b2o$384bo22$360b3o$362bo$361bo33$325b2o$326b2o$325bo22$
301b2o$302b2o$301bo21$278b3o$280bo$279bo21$255bo$255b2o$254bobo23$230b
3o$232bo$231bo22$206b3o$208bo$207bo27$177b3o$179bo$178bo22$153b3o$155b
o$154bo20$131bo$131b2o$130bobo22$107bo$107b2o$106bobo22$83bo$83b2o$82b
obo21$60b2o$61b2o$60bo38$20b3o$22bo$21bo8$10b3o$12bo$11bo8$3o$2bo$bo!
There are bound to be shorter sequences, if the two search restrictions are removed (clean eater output with no associated junk, and no more than two synchronized gliders are sent at a time before intermediate targets must stabilize again).
As far as naturally occurring glider-stream stoppers go, I've seen the following 3sL seed constellation show up in various symmetric random soups -- run
this one to T=16,467,547, for example:
Code: Select all
x = 138, y = 126, rule = B3/S23
130b2o$130b2o2$121b2o$120bobo$122bo3$136b2o$136b2o2$128b2o$128bobo$
129bo20$91b2o$90bobo$92bo28$61b2o$60bobo$62bo28$31b2o$30bobo$32bo28$b
2o$obo$2bo!
Depending on where the block is, it takes two or three gliders to trigger the seed to produce a pair of connected eaters to block the lane (
eater tail tie trans eater tail).
And
this soup at T=6,716,744 produces a 2sL boat-and-blinker seed for a standard fishhook eater in one of its boat-bit-catching positions:
Code: Select all
x = 42, y = 43, rule = B3/S23
36bo$36bo$36bo6$40b2o$39bobo$31b2o7bo$30bobo$32bo8$21b2o$20bobo$22bo8$
11b2o$10bobo$12bo8$b2o$obo$2bo!
Re: Thread for your unsure discoveries
Posted: September 6th, 2016, 11:50 am
by Rhombic
While this particular case might not be that useful, this (overall) G-->2G circuit is totally destroyed with 6 easily-synthesisable still lifes. Some circuits are easier to build and very useful parts of engineered spaceships, or major circuitry of some kind. Enabling an easy demolition that, by the way, is enacted by its normal functioning (the input glider is in the same position as one that does the proper function of the circuit) can plausibly be better than glider destructions.
The rightmost one is the solution. Partials are on the left.
Code: Select all
x = 245, y = 168, rule = LifeHistory
39.A.2A.2A90.A.2A.2A$37.3A.A3.A88.3A.A3.A$36.A5.2A89.A5.2A$37.A.2A.A.
4A86.A.2A.A.4A$36.2A.2A.A.A2.A85.2A.2A.A.A2.A$27.2A14.A80.2A14.A$28.A
96.A$28.A.A94.A.A$18.A10.2A84.A10.2A$16.3A94.3A$8.A6.A89.A6.A$9.2A4.
2A89.2A4.2A$2A6.2A87.2A6.2A$.A96.A$.A.2A93.A.2A$2.A2.A93.A2.A56.2C$3.
2A95.2A56.C2.C$18.2A95.2A42.2C$18.2A95.2A$162.C$161.C.C$162.2C2$26.A
3.2A91.A3.2A$25.A.A3.A90.A.A3.A$21.2A.A.A3.A22.2A63.2A.A.A3.A22.2A$
21.2A.A4.A23.2A63.2A.A4.A23.2A$25.5A.A90.5A.A$20.A.2A.A4.2A2.A.2A79.A
.2A.A4.2A2.A.2A$20.2A2.A3.A3.3A.2A79.2A2.A3.A3.3A.2A$10.2A11.A4.2A.A
75.2A11.A4.2A.A$10.2A8.3A9.3A.2A69.2A8.3A9.3A.2A$20.A13.A.A80.A13.A.A
$34.A.A94.A.A$35.A96.A5$132.2C$24.C102.C3.C2.C$23.C.C9.2C89.C.C3.2C$
24.2C8.C2.C6.2C80.2C13.2C$35.C.C5.C2.C93.C2.C$36.C7.C.C6.2A86.C.C6.2A
$45.C7.A.A86.C7.A.A$55.A96.A$20.2C33.2A95.2A$20.2C12$39.A.2A.2A90.A.
2A.2A84.A.2A.2A$37.3A.A3.A88.3A.A3.A82.3A.A3.A$36.A5.2A89.A5.2A83.A5.
2A$37.A.2A.A.4A86.A.2A.A.4A80.A.2A.A.4A$36.2A.2A.A.A2.A85.2A.2A.A.A2.
A79.2A.2A.A.A2.A$27.2A14.A80.2A14.A74.2A14.A$28.A96.A90.A$28.A.A94.A.
A88.A.A$18.A10.2A84.A10.2A78.A10.2A$16.3A94.3A88.3A$8.A6.A89.A6.A83.A
6.A$9.2A4.2A89.2A4.2A83.2A4.2A$2A6.2A87.2A6.2A81.2A6.2A$.A96.A90.A$.A
.2A93.A.2A87.A.2A$2.A2.A93.A2.A87.A2.A$3.2A95.2A89.2A$18.2A95.2A89.2A
$18.2A95.2A89.2A5$26.A3.2A91.A3.2A85.A3.2A$25.A.A3.A90.A.A3.A61.2C21.
A.A3.A$21.2A.A.A3.A22.2A63.2A.A.A3.A22.2A38.C.C16.2A.A.A3.A22.2A$21.
2A.A4.A23.2A63.2A.A4.A23.2A39.C17.2A.A4.A23.2A$25.5A.A90.5A.A84.5A.A$
20.A.2A.A4.2A2.A.2A61.2C16.A.2A.A4.2A2.A.2A73.A.2A.A4.2A2.A.2A$20.2A
2.A3.A3.3A.2A60.C.C16.2A2.A3.A3.3A.2A73.2A2.A3.A3.3A.2A$10.2A11.A4.2A
.A67.C7.2A11.A4.2A.A69.2A11.A4.2A.A$10.2A8.3A9.3A.2A69.2A8.3A9.3A.2A
63.2A8.3A9.3A.2A$20.A13.A.A80.A13.A.A74.A13.A.A$34.A.A94.A.A88.A.A$
35.A69.C26.A90.A$104.C.C92.2C$105.2C92.2C$118.C$117.C.C$35.C80.C2.C
80.2C22.C9.C$34.C.C80.2C80.C.C21.C.C8.C$34.2C164.C22.C.C8.C$46.C177.C
$20.C24.C.C88.C4.C87.2C$14.3C3.C24.C.C5.2A80.C.C3.C8.2A76.C2.C9.2A$
20.C25.C6.A.A79.2C4.C8.A.A76.2C10.A.A$55.A96.A80.2C8.A$55.2A95.2A78.C
2.C7.2A$233.2C12$39.A.2A.2A$37.3A.A3.A$36.A5.2A$37.A.2A.A.4A$36.2A.2A
.A.A2.A$27.2A14.A$28.A$28.A.A$18.A10.2A$16.3A$8.A6.A$9.2A4.2A$2A6.2A$
.A$.A.2A$2.A2.A$3.2A$18.2A$18.2A5$26.A3.2A$25.A.A3.A$4.2C15.2A.A.A3.A
22.2A$3.C.C15.2A.A4.A23.2A$4.C20.5A.A$20.A.2A.A4.2A2.A.2A$20.2A2.A3.A
3.3A.2A$10.2A11.A4.2A.A$10.2A8.3A9.3A.2A$20.A13.A.A$34.A.A$35.A7$39.C
$38.C.C$35.C3.2C$34.C.C16.2A$34.C.C8.C7.A.A$35.C8.C.C8.A$45.2C8.2A!
Re: Thread for your unsure discoveries
Posted: September 6th, 2016, 12:41 pm
by dvgrn
Rhombic wrote:While this particular case might not be that useful, this (overall) G-->2G circuit is totally destroyed with 6 easily-synthesisable still lifes. Some circuits are easier to build and very useful parts of engineered spaceships, or major circuitry of some kind. Enabling an easy demolition that, by the way, is enacted by its normal functioning (the input glider is in the same position as one that does the proper function of the circuit) can plausibly be better than glider destructions.
The pattern above looks like output from
simeks' self-destruct search program, in case anyone else is interested in trying it out.
This is the same general method that turned the
Demonoid into a spaceship instead of a slightly ridiculous puffer. The search program makes it enormously easier to come up with solutions for this kind of self-destruct problem.
However, it seems as if the trigger should really be something other than the normal functioning of the circuit. That would mean that to destroy the circuit, you'd have to suddenly build the three-beehives-and-blinker constellation in the lower right, or at least the rightmost beehive and blinker. With that constellation in place, the circuit is just a decoration -- can't actually be used at all. Building that constellation after using the circuit would probably be more difficult, or at least more annoying, than just destroying the circuit with gliders.
There are ways to build a circuit so that it can be used normally, but then can be sent a specific signal (using the same input channel) that will trigger a self-destruct sequence. The easiest way would be some kind of internal signal crossing, where two signals sent at a very specific relative timing either faster or slower than normal use, would interfere with each other to start the self-destruct reaction.
The pattern with those two signals coming in can be used as input for simeks' program -- just make sure to exclude all of the region needed for normal functioning, when you set up the search.