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Spaceship Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: Spaceship Discussion Thread

Postby dvgrn » January 1st, 2018, 2:20 pm

Have been looking into 2-engine Cordership seed constellations, and the news is pretty good. A 2-glider seed is just 11 small still lifes at most --

x = 45, y = 47, rule = B3/S23
21bo$20bobo$20b2o4$17bo$16bobo13b2o$17b2o13b2o3$17bo$16bobo$17b2o2$40b
2o$40b2o5$22b2o$22b2o$42b2o$7bo4bo29bobo$6bobo2bobo28bo$7b2o3b2o2$b2o$
obo$bo2$18b2o$17bo2bo$18b2o6$7b2o$7b2o3$18b2o$18bobo$18bo!

Or even 9sL, if it's okay to make the constellation a little wider, but I think the "saved" turners will just be added back in later in the conversion to a one-glider seed anyway:

x = 47, y = 56, rule = B3/S23
45bo$44bo$44b3o15$22bo$21bobo13b2o$22b2o13b2o3$22bo$21bobo$22b2o2$45b
2o$45b2o5$27b2o$27b2o2$12bo4bo$11bobo2bobo$12b2o3b2o6$23b2o$22bo2bo$
23b2o6$12b2o$12b2o$3o$2bo$bo!

Then it's just a matter of hunting through simsim314's nice labeled splitter collection for the correct timing of splitter, plus a couple more boats to put the results on the right lane. That makes a fairly compact 15sL Cordership seed:

x = 62, y = 61, rule = B3/S23
21bo$20bobo$20b2o4$17bo$16bobo13b2o$17b2o13b2o3$17bo$16bobo$17b2o2$40b
2o$40b2o2$45b2o$45bobo$23bo22bo$22bobo$22b2o2$7bo4bo$6bobo2bobo$7b2o3b
2o2$b2o$obo$bo2$18b2o$18bobo16bo$19bo16bobo$37b2o3$30bo$29bobo$7b2o21b
o$7b2o11$17b2o$17bobo$18bo4$59b2o$59bobo$59bo!

It's a little more expensive per switch engine, because the 2-engine Cordership is a lot more delicately balanced than Paul Tooke's three engines. If you put those three in place, the Cordership basically just takes off.

For the new Cordership the two engines' combined exhaust has to be carefully encouraged to burn correctly. Anyone see any better ways to do this? The two white still lifes in the following version are just getting rid of a nasty non-spark that eventually becomes the usual Herschel plus a blinker:

x = 62, y = 61, rule = LifeHistory
21.A$20.A.A$20.2A4$17.A$16.A.A13.2A$17.2A13.2A3$17.A$16.A.A$17.2A2$
40.2A$40.2A2$45.2A$45.A.A$46.A$22.2C$22.2C2$7.A4.A$6.A.A2.A.A$7.2A3.
2A2$.2A$A.A$.A2$18.2C$17.C2.C16.A$18.2C16.A.A$37.2A3$30.A$29.A.A$7.2A
21.A$7.2A11$17.2A$17.A.A$18.A4$59.2A$59.A.A$59.A!

I haven't checked yet whether those two still lifes can be replaced by one lucky one (except for some fiddling around with Seeds of Destruction, which didn't turn anything up immediately.) Also AbhpzTa's three cleanup gliders can maybe be simulated by some smaller number of still lifes. I didn't look very hard once I found that the spaceship's standard blocks were conveniently out of the way of the two trigger gliders.

Even at 15sL, this seed will have a relatively short slow-salvo construction recipe. Unlike the old 3-engine Cordership seed, this one is easily narrow enough to be constructed and triggered in any orientation with simeks' 0-degree construction arm recipes. So this makes another significant step toward a workable SMOS (self-synthesizing spaceship) and/or a quadratic-growth replicator.
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Re: Spaceship Discussion Thread

Postby Extrementhusiast » January 2nd, 2018, 3:26 am

dvgrn wrote:Like the 3-engine Cordership, the two engines can be stopped by a single glider from behind without releasing any gliders or spaceships. If someone could find the cases where the smallest amount of junk is produced, that would be great:

RLE

The above is just the first example that worked, and already it will significantly reduce the cost of projects like the Spaceship Made of Gliders and the eventual quadratic-growth replicator.


Which of the 142 possibilities without extra gliders would you like?
x = 11078, y = 15187, rule = B3/S23
11035bo$11036bo$11034b3o32$11056b2o$11056b4o$11056bob2o2$11057bo$
11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo
3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$
11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$
11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b
2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$
11065bo175$11034bobo$11035b2o$11035bo31$11056b2o$11056b4o$11056bob2o2$
11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$
11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$
11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b
3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$
11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$
11057b3o5bo$11065bo175$11036bo$11034bobo$11035b2o31$11056b2o$11056b4o$
11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$
11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$
11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo
3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o
35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$
11056bo2b2o3bobo$11057b3o5bo$11065bo175$11035bo$11036b2o$11035b2o31$
11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b
2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo
$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$
11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b
3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055b
o5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo175$11036bo$11037bo$11035b
3o31$11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$
11070b2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$
11074bobo$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob
2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o
13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo
$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo176$11035bobo$
11036b2o$11036bo30$11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$
11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b
2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo
$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o
12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o
2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo176$
11037bo$11035bobo$11036b2o30$11056b2o$11056b4o$11056bob2o2$11057bo$
11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo
3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$
11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$
11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b
2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$
11065bo176$11036bo$11037b2o$11036b2o30$11056b2o$11056b4o$11056bob2o2$
11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$
11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$
11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b
3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$
11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$
11057b3o5bo$11065bo176$11037bo$11038bo$11036b3o30$11056b2o$11056b4o$
11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$
11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$
11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo
3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o
35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$
11056bo2b2o3bobo$11057b3o5bo$11065bo177$11036bobo$11037b2o$11037bo29$
11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b
2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo
$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$
11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b
3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055b
o5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo177$11038bo$11036bobo$
11037b2o29$11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$
11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$
11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$
11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o
12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o
2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo177$
11037bo$11038b2o$11037b2o29$11056b2o$11056b4o$11056bob2o2$11057bo$
11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo
3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$
11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$
11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b
2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$
11065bo177$11038bo$11039bo$11037b3o29$11056b2o$11056b4o$11056bob2o2$
11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$
11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$
11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b
3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$
11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$
11057b3o5bo$11065bo178$11037bobo$11038b2o$11038bo28$11056b2o$11056b4o$
11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$
11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$
11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo
3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o
35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$
11056bo2b2o3bobo$11057b3o5bo$11065bo178$11039bo$11037bobo$11038b2o28$
11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b
2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo
$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$
11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b
3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055b
o5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo178$11038bo$11039b2o$
11038b2o28$11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$
11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$
11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$
11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o
12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o
2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo178$
11039bo$11040bo$11038b3o28$11056b2o$11056b4o$11056bob2o2$11057bo$
11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo
3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$
11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$
11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b
2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$
11065bo179$11038bobo$11039b2o$11039bo27$11056b2o$11056b4o$11056bob2o2$
11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$
11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$
11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b
3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$
11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$
11057b3o5bo$11065bo179$11040bo$11038bobo$11039b2o27$11056b2o$11056b4o$
11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$
11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$
11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo
3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o
35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$
11056bo2b2o3bobo$11057b3o5bo$11065bo179$11039bo$11040b2o$11039b2o27$
11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b
2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo
$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$
11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b
3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055b
o5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo179$11040bo$11041bo$11039b
3o27$11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$
11070b2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$
11074bobo$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob
2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o
13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo
$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo180$11039bobo$
11040b2o$11040bo26$11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$
11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b
2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo
$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o
12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o
2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo180$
11041bo$11039bobo$11040b2o26$11056b2o$11056b4o$11056bob2o2$11057bo$
11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo
3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$
11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$
11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b
2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$
11065bo180$11040bo$11041b2o$11040b2o26$11056b2o$11056b4o$11056bob2o2$
11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$
11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$
11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b
3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$
11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$
11057b3o5bo$11065bo180$11041bo$11042bo$11040b3o26$11056b2o$11056b4o$
11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$
11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$
11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo
3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o
35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$
11056bo2b2o3bobo$11057b3o5bo$11065bo181$11040bobo$11041b2o$11041bo25$
11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b
2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo
$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$
11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b
3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055b
o5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo181$11042bo$11040bobo$
11041b2o25$11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$
11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$
11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$
11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o
12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o
2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo181$
11041bo$11042b2o$11041b2o25$11056b2o$11056b4o$11056bob2o2$11057bo$
11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo
3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$
11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$
11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b
2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$
11065bo181$11042bo$11043bo$11041b3o25$11056b2o$11056b4o$11056bob2o2$
11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$
11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$
11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b
3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$
11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$
11057b3o5bo$11065bo182$11041bobo$11042b2o$11042bo24$11056b2o$11056b4o$
11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$
11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$
11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo
3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o
35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$
11056bo2b2o3bobo$11057b3o5bo$11065bo182$11043bo$11041bobo$11042b2o24$
11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b
2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo
$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$
11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b
3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055b
o5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo182$11042bo$11043b2o$
11042b2o24$11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$
11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$
11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$
11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o
12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o
2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo182$
11043bo$11044bo$11042b3o24$11056b2o$11056b4o$11056bob2o2$11057bo$
11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo
3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$
11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$
11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b
2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$
11065bo183$11042bobo$11043b2o$11043bo23$11056b2o$11056b4o$11056bob2o2$
11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$
11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$
11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b
3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$
11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$
11057b3o5bo$11065bo183$11044bo$11042bobo$11043b2o23$11056b2o$11056b4o$
11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$
11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$
11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo
3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o
35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$
11056bo2b2o3bobo$11057b3o5bo$11065bo183$11043bo$11044b2o$11043b2o23$
11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b
2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo
$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$
11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b
3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055b
o5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo183$11044bo$11045bo$11043b
3o23$11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$
11070b2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$
11074bobo$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob
2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o
13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo
$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo184$11043bobo$
11044b2o$11044bo22$11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$
11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b
2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo
$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o
12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o
2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo184$
11045bo$11043bobo$11044b2o22$11056b2o$11056b4o$11056bob2o2$11057bo$
11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo
3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$
11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$
11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b
2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$
11065bo184$11044bo$11045b2o$11044b2o22$11056b2o$11056b4o$11056bob2o2$
11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$
11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$
11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b
3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$
11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$
11057b3o5bo$11065bo184$11045bo$11046bo$11044b3o22$11056b2o$11056b4o$
11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$
11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$
11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo
3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o
35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$
11056bo2b2o3bobo$11057b3o5bo$11065bo185$11044bobo$11045b2o$11045bo21$
11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b
2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo
$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$
11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b
3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055b
o5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo185$11046bo$11044bobo$
11045b2o21$11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$
11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$
11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$
11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o
12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o
2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo185$
11045bo$11046b2o$11045b2o21$11056b2o$11056b4o$11056bob2o2$11057bo$
11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo
3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$
11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$
11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b
2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$
11065bo185$11046bo$11047bo$11045b3o21$11056b2o$11056b4o$11056bob2o2$
11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$
11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$
11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b
3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$
11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$
11057b3o5bo$11065bo186$11045bobo$11046b2o$11046bo20$11056b2o$11056b4o$
11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$
11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$
11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo
3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o
35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$
11056bo2b2o3bobo$11057b3o5bo$11065bo186$11047bo$11045bobo$11046b2o20$
11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b
2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo
$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$
11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b
3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055b
o5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo186$11046bo$11047b2o$
11046b2o20$11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$
11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$
11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$
11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o
12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o
2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo186$
11047bo$11048bo$11046b3o20$11056b2o$11056b4o$11056bob2o2$11057bo$
11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo
3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$
11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$
11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b
2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$
11065bo187$11046bobo$11047b2o$11047bo19$11056b2o$11056b4o$11056bob2o2$
11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$
11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$
11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b
3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$
11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$
11057b3o5bo$11065bo187$11048bo$11046bobo$11047b2o19$11056b2o$11056b4o$
11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b2o$11070b2o7$
11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo$11075bo$
11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$11048bo10bo
3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b3o$11037b2o
35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055bo5bo3bo$
11056bo2b2o3bobo$11057b3o5bo$11065bo187$11047bo$11048b2o$11047b2o19$
11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$11070b
2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$11074bobo
$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob2o11bo$
11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o13bo21b
3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo$11055b
o5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo187$11048bo$11049bo$11047b
3o19$11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$11056b3o$11058bo$
11070b2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b2o2bo$11077bo$
11074bobo$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo$11049b5o5bob
2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o12bo$11037b2o
13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o2bo$11061bo3bo
$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo188$11047bobo$
11048b2o$11048bo18$11056b2o$11056b4o$11056bob2o2$11057bo$11056b2o$
11056b3o$11058bo$11070b2o$11070b2o7$11073bo$11072b2o$11071bo3bo$11072b
2o2bo$11077bo$11074bobo$11075bo$11075bo$11075b2o$11075b2o3$11050bo10bo
$11049b5o5bob2o11bo$11048bo10bo3bo9bo$11049b2o8b3obo9b2o$11050b2o9b2o
12bo$11037b2o13bo21b3o$11037b2o35b3o7$11045b2o$11045b2o11b2o$11056b2o
2bo$11061bo3bo$11055bo5bo3bo$11056bo2b2o3bobo$11057b3o5bo$11065bo188$
11049bo$11047bobo$11048b2o4$7696bo$7697bo$7695b3o12$7728b2o3326b2o$
7728b4o3324b4o$7728bob2o3324bob2o2$7729bo3327bo$7728b2o3326b2o$7728b3o
3325b3o$7730bo3327bo$7742b2o3326b2o$7742b2o3326b2o7$7745bo3327bo$7744b
2o3326b2o$7743bo3bo3323bo3bo$7744b2o2bo3323b2o2bo$7749bo3327bo$7746bob
o3325bobo$7747bo3327bo$7747bo3327bo$7747b2o3326b2o$7747b2o3326b2o3$
7722bo10bo3316bo10bo$7721b5o5bob2o11bo3302b5o5bob2o11bo$7720bo10bo3bo
9bo3302bo10bo3bo9bo$7721b2o8b3obo9b2o3302b2o8b3obo9b2o$7722b2o9b2o12bo
3302b2o9b2o12bo$7709b2o13bo21b3o3288b2o13bo21b3o$7709b2o35b3o3288b2o
35b3o7$7717b2o3326b2o$7717b2o11b2o3313b2o11b2o$7728b2o2bo3323b2o2bo$
7733bo3bo3323bo3bo$7727bo5bo3bo3317bo5bo3bo$7728bo2b2o3bobo3317bo2b2o
3bobo$7729b3o5bo3319b3o5bo$7737bo3327bo188$11048bo$11049b2o$11048b2o
10$7702bo$7700bobo$7701b2o6$7728b2o3326b2o$7728b4o3324b4o$7728bob2o
3324bob2o2$7729bo3327bo$7728b2o3326b2o$7728b3o3325b3o$7730bo3327bo$
7742b2o3326b2o$7742b2o3326b2o7$7745bo3327bo$7744b2o3326b2o$7743bo3bo
3323bo3bo$7744b2o2bo3323b2o2bo$7749bo3327bo$7746bobo3325bobo$7747bo
3327bo$7747bo3327bo$7747b2o3326b2o$7747b2o3326b2o3$7722bo10bo3316bo10b
o$7721b5o5bob2o11bo3302b5o5bob2o11bo$7720bo10bo3bo9bo3302bo10bo3bo9bo$
7721b2o8b3obo9b2o3302b2o8b3obo9b2o$7722b2o9b2o12bo3302b2o9b2o12bo$
7709b2o13bo21b3o3288b2o13bo21b3o$7709b2o35b3o3288b2o35b3o7$7717b2o
3326b2o$7717b2o11b2o3313b2o11b2o$7728b2o2bo3323b2o2bo$7733bo3bo3323bo
3bo$7727bo5bo3bo3317bo5bo3bo$7728bo2b2o3bobo3317bo2b2o3bobo$7729b3o5bo
3319b3o5bo$7737bo3327bo188$11049bo$11050bo$11048b3o4$5895bo$5896bo
2571bo$5894b3o2572bo$5127bo3339b3o$5125bobo$5126b2o3085bobo$8214b2o$
8214bo$7704bo$7702bobo$7703b2o4$5168b2o766b2o1790b2o510b2o254b2o2558b
2o$5168b4o764b4o1788b4o508b4o252b4o2556b4o$5168bob2o764bob2o1788bob2o
508bob2o252bob2o2556bob2o2$5169bo767bo1791bo511bo255bo2559bo$5168b2o
766b2o1790b2o510b2o254b2o2558b2o$5168b3o765b3o1789b3o509b3o253b3o2557b
3o$5170bo767bo1791bo511bo255bo2559bo$5182b2o766b2o1790b2o510b2o254b2o
2558b2o$5182b2o766b2o1790b2o510b2o254b2o2558b2o7$5185bo767bo1791bo511b
o255bo2559bo$5184b2o766b2o1790b2o510b2o254b2o2558b2o$5183bo3bo763bo3bo
1787bo3bo507bo3bo251bo3bo2555bo3bo$5184b2o2bo763b2o2bo1787b2o2bo507b2o
2bo251b2o2bo2555b2o2bo$5189bo767bo1791bo511bo255bo2559bo$5186bobo765bo
bo1789bobo509bobo253bobo2557bobo$5187bo767bo1791bo511bo255bo2559bo$
5187bo767bo1791bo511bo255bo2559bo$5187b2o766b2o1790b2o510b2o254b2o
2558b2o$5187b2o766b2o1790b2o510b2o254b2o2558b2o3$5162bo10bo756bo10bo
1780bo10bo500bo10bo244bo10bo2548bo10bo$5161b5o5bob2o11bo742b5o5bob2o
11bo1766b5o5bob2o11bo486b5o5bob2o11bo230b5o5bob2o11bo2534b5o5bob2o11bo
$5160bo10bo3bo9bo742bo10bo3bo9bo1766bo10bo3bo9bo486bo10bo3bo9bo230bo
10bo3bo9bo2534bo10bo3bo9bo$5161b2o8b3obo9b2o742b2o8b3obo9b2o1766b2o8b
3obo9b2o486b2o8b3obo9b2o230b2o8b3obo9b2o2534b2o8b3obo9b2o$5162b2o9b2o
12bo742b2o9b2o12bo1766b2o9b2o12bo486b2o9b2o12bo230b2o9b2o12bo2534b2o9b
2o12bo$5149b2o13bo21b3o728b2o13bo21b3o1752b2o13bo21b3o472b2o13bo21b3o
216b2o13bo21b3o2520b2o13bo21b3o$5149b2o35b3o728b2o35b3o1752b2o35b3o
472b2o35b3o216b2o35b3o2520b2o35b3o7$5157b2o766b2o1790b2o510b2o254b2o
2558b2o$5157b2o11b2o753b2o11b2o1777b2o11b2o497b2o11b2o241b2o11b2o2545b
2o11b2o$5168b2o2bo763b2o2bo1787b2o2bo507b2o2bo251b2o2bo2555b2o2bo$
5173bo3bo763bo3bo1787bo3bo507bo3bo251bo3bo2555bo3bo$5167bo5bo3bo757bo
5bo3bo1781bo5bo3bo501bo5bo3bo245bo5bo3bo2549bo5bo3bo$5168bo2b2o3bobo
757bo2b2o3bobo1781bo2b2o3bobo501bo2b2o3bobo245bo2b2o3bobo2549bo2b2o3bo
bo$5169b3o5bo759b3o5bo1783b3o5bo503b3o5bo247b3o5bo2551b3o5bo$5177bo
767bo1791bo511bo255bo2559bo189$11048bobo$11049b2o$11049bo$6407bobo$
6408b2o$6408bo2$6670bo$6668bobo$4871bo1797b2o1800bo$4872bo3342bo253bob
o$4870b3o3340bobo254b2o$3332bo1796bobo3082b2o$3333bo1796b2o2571bo$
3331b3o1796bo773bo1799b2o$5905bo1797b2o$5903b3o3$560b2o2814b2o1534b2o
254b2o766b2o510b2o254b2o1022b2o510b2o254b2o2558b2o$560b4o2812b4o1532b
4o252b4o764b4o508b4o252b4o1020b4o508b4o252b4o2556b4o$560bob2o2812bob2o
1532bob2o252bob2o764bob2o508bob2o252bob2o1020bob2o508bob2o252bob2o
2556bob2o2$561bo2815bo1535bo255bo767bo511bo255bo1023bo511bo255bo2559bo
$560b2o2814b2o1534b2o254b2o766b2o510b2o254b2o1022b2o510b2o254b2o2558b
2o$560b3o2813b3o1533b3o253b3o765b3o509b3o253b3o1021b3o509b3o253b3o
2557b3o$562bo2815bo1535bo255bo767bo511bo255bo1023bo511bo255bo2559bo$
574b2o2814b2o1534b2o254b2o766b2o510b2o254b2o1022b2o510b2o254b2o2558b2o
$574b2o2814b2o1534b2o254b2o766b2o510b2o254b2o1022b2o510b2o254b2o2558b
2o$515bobo$516b2o$516bo4$577bo2815bo1535bo255bo767bo511bo255bo1023bo
511bo255bo2559bo$576b2o2814b2o1534b2o254b2o766b2o510b2o254b2o1022b2o
510b2o254b2o2558b2o$575bo3bo2811bo3bo1531bo3bo251bo3bo763bo3bo507bo3bo
251bo3bo1019bo3bo507bo3bo251bo3bo2555bo3bo$576b2o2bo2811b2o2bo1531b2o
2bo251b2o2bo763b2o2bo507b2o2bo251b2o2bo1019b2o2bo507b2o2bo251b2o2bo
2555b2o2bo$581bo2815bo1535bo255bo767bo511bo255bo1023bo511bo255bo2559bo
$578bobo2813bobo1533bobo253bobo765bobo509bobo253bobo1021bobo509bobo
253bobo2557bobo$579bo2815bo1535bo255bo767bo511bo255bo1023bo511bo255bo
2559bo$579bo2815bo1535bo255bo767bo511bo255bo1023bo511bo255bo2559bo$
579b2o2814b2o1534b2o254b2o766b2o510b2o254b2o1022b2o510b2o254b2o2558b2o
$579b2o2814b2o1534b2o254b2o766b2o510b2o254b2o1022b2o510b2o254b2o2558b
2o3$554bo10bo2804bo10bo1524bo10bo244bo10bo756bo10bo500bo10bo244bo10bo
1012bo10bo500bo10bo244bo10bo2548bo10bo$553b5o5bob2o11bo2790b5o5bob2o
11bo1510b5o5bob2o11bo230b5o5bob2o11bo742b5o5bob2o11bo486b5o5bob2o11bo
230b5o5bob2o11bo998b5o5bob2o11bo486b5o5bob2o11bo230b5o5bob2o11bo2534b
5o5bob2o11bo$552bo10bo3bo9bo2790bo10bo3bo9bo1510bo10bo3bo9bo230bo10bo
3bo9bo742bo10bo3bo9bo486bo10bo3bo9bo230bo10bo3bo9bo998bo10bo3bo9bo486b
o10bo3bo9bo230bo10bo3bo9bo2534bo10bo3bo9bo$553b2o8b3obo9b2o2790b2o8b3o
bo9b2o1510b2o8b3obo9b2o230b2o8b3obo9b2o742b2o8b3obo9b2o486b2o8b3obo9b
2o230b2o8b3obo9b2o998b2o8b3obo9b2o486b2o8b3obo9b2o230b2o8b3obo9b2o
2534b2o8b3obo9b2o$554b2o9b2o12bo2790b2o9b2o12bo1510b2o9b2o12bo230b2o9b
2o12bo742b2o9b2o12bo486b2o9b2o12bo230b2o9b2o12bo998b2o9b2o12bo486b2o9b
2o12bo230b2o9b2o12bo2534b2o9b2o12bo$541b2o13bo21b3o2776b2o13bo21b3o
1496b2o13bo21b3o216b2o13bo21b3o728b2o13bo21b3o472b2o13bo21b3o216b2o13b
o21b3o984b2o13bo21b3o472b2o13bo21b3o216b2o13bo21b3o2520b2o13bo21b3o$
541b2o35b3o2776b2o35b3o1496b2o35b3o216b2o35b3o728b2o35b3o472b2o35b3o
216b2o35b3o984b2o35b3o472b2o35b3o216b2o35b3o2520b2o35b3o7$549b2o2814b
2o1534b2o254b2o766b2o510b2o254b2o1022b2o510b2o254b2o2558b2o$549b2o11b
2o2801b2o11b2o1521b2o11b2o241b2o11b2o753b2o11b2o497b2o11b2o241b2o11b2o
1009b2o11b2o497b2o11b2o241b2o11b2o2545b2o11b2o$560b2o2bo2811b2o2bo
1531b2o2bo251b2o2bo763b2o2bo507b2o2bo251b2o2bo1019b2o2bo507b2o2bo251b
2o2bo2555b2o2bo$565bo3bo2811bo3bo1531bo3bo251bo3bo763bo3bo507bo3bo251b
o3bo1019bo3bo507bo3bo251bo3bo2555bo3bo$559bo5bo3bo2805bo5bo3bo1525bo5b
o3bo245bo5bo3bo757bo5bo3bo501bo5bo3bo245bo5bo3bo1013bo5bo3bo501bo5bo3b
o245bo5bo3bo2549bo5bo3bo$560bo2b2o3bobo2805bo2b2o3bobo1525bo2b2o3bobo
245bo2b2o3bobo757bo2b2o3bobo501bo2b2o3bobo245bo2b2o3bobo1013bo2b2o3bob
o501bo2b2o3bobo245bo2b2o3bobo2549bo2b2o3bobo$561b3o5bo2807b3o5bo1527b
3o5bo247b3o5bo759b3o5bo503b3o5bo247b3o5bo1015b3o5bo503b3o5bo247b3o5bo
2551b3o5bo$569bo2815bo1535bo255bo767bo511bo255bo1023bo511bo255bo2559bo
180$10518bo$10519bo$10517b3o7$11050bo$11048bobo$9235bo1813b2o$9236bo$
8721bobo510b3o$8722b2o$8722bo2$6671bo$6672bo1797bo$6670b3o1541bo256b2o
$4873bo3083bobo255b2o253b2o$4617bo253bobo3084b2o254b2o$4104bo510bobo
254b2o256bobo1285bo513bo771bo253bo$4102bobo511b2o513b2o1027bo258b2o
512b2o770bo$4103b2o1026bo773bo255b2o255b2o512b2o258bo510b3o$5903bobo
254b2o1028bobo$5904b2o1285b2o$3336bobo$560b2o766b2o254b2o254b2o1495b2o
37b2o766b2o510b2o254b2o254b2o766b2o254b2o254b2o254b2o254b2o254b2o510b
2o254b2o254b2o254b2o254b2o510b2o1278b2o510b2o$560b4o764b4o252b4o252b4o
1493bo38b4o764b4o508b4o252b4o252b4o764b4o252b4o252b4o252b4o252b4o252b
4o508b4o252b4o252b4o252b4o252b4o508b4o1276b4o508b4o$560bob2o764bob2o
252bob2o252bob2o1532bob2o764bob2o508bob2o252bob2o252bob2o764bob2o252bo
b2o252bob2o252bob2o252bob2o252bob2o508bob2o252bob2o252bob2o252bob2o
252bob2o508bob2o1276bob2o508bob2o2$561bo767bo255bo255bo1535bo767bo511b
o255bo255bo767bo255bo255bo255bo255bo255bo511bo255bo255bo255bo255bo511b
o1279bo511bo$560b2o766b2o254b2o254b2o1534b2o766b2o510b2o254b2o254b2o
766b2o254b2o254b2o254b2o254b2o254b2o510b2o254b2o254b2o254b2o254b2o510b
2o1278b2o510b2o$560b3o765b3o253b3o213bo39b3o1533b3o765b3o509b3o253b3o
253b3o765b3o253b3o253b3o253b3o253b3o253b3o509b3o253b3o253b3o253b3o253b
3o509b3o1277b3o509b3o$562bo767bo211bobo41bo214b2o39bo1535bo767bo511bo
255bo255bo767bo255bo255bo255bo255bo255bo511bo255bo255bo255bo255bo511bo
1279bo511bo$574b2o710bobo53b2o199b2o53b2o200b2o52b2o1534b2o766b2o510b
2o254b2o254b2o766b2o254b2o254b2o254b2o254b2o254b2o510b2o254b2o254b2o
254b2o254b2o510b2o1278b2o510b2o$574b2o711b2o53b2o199bo54b2o254b2o1534b
2o766b2o510b2o254b2o254b2o766b2o254b2o254b2o254b2o254b2o254b2o510b2o
254b2o254b2o254b2o254b2o510b2o1278b2o510b2o$516bo770bo$517b2o$516b2o4$
577bo767bo255bo255bo1535bo767bo511bo255bo255bo767bo255bo255bo255bo255b
o255bo511bo255bo255bo255bo255bo511bo1279bo511bo$576b2o766b2o254b2o254b
2o1534b2o766b2o510b2o254b2o254b2o766b2o254b2o254b2o254b2o254b2o254b2o
510b2o254b2o254b2o254b2o254b2o510b2o1278b2o510b2o$575bo3bo763bo3bo251b
o3bo251bo3bo1531bo3bo763bo3bo507bo3bo251bo3bo251bo3bo763bo3bo251bo3bo
251bo3bo251bo3bo251bo3bo251bo3bo507bo3bo251bo3bo251bo3bo251bo3bo251bo
3bo507bo3bo1275bo3bo507bo3bo$576b2o2bo763b2o2bo251b2o2bo251b2o2bo1531b
2o2bo763b2o2bo507b2o2bo251b2o2bo251b2o2bo763b2o2bo251b2o2bo251b2o2bo
251b2o2bo251b2o2bo251b2o2bo507b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o
2bo507b2o2bo1275b2o2bo507b2o2bo$581bo767bo255bo255bo1535bo767bo511bo
255bo255bo767bo255bo255bo255bo255bo255bo511bo255bo255bo255bo255bo511bo
1279bo511bo$578bobo765bobo253bobo253bobo1533bobo765bobo509bobo253bobo
253bobo765bobo253bobo253bobo253bobo253bobo253bobo509bobo253bobo253bobo
253bobo253bobo509bobo1277bobo509bobo$579bo767bo255bo255bo1535bo767bo
511bo255bo255bo767bo255bo255bo255bo255bo255bo511bo255bo255bo255bo255bo
511bo1279bo511bo$579bo767bo255bo255bo1535bo767bo511bo255bo255bo767bo
255bo255bo255bo255bo255bo511bo255bo255bo255bo255bo511bo1279bo511bo$
579b2o766b2o254b2o254b2o1534b2o766b2o510b2o254b2o254b2o766b2o254b2o
254b2o254b2o254b2o254b2o510b2o254b2o254b2o254b2o254b2o510b2o1278b2o
510b2o$579b2o766b2o254b2o254b2o1534b2o766b2o510b2o254b2o254b2o766b2o
254b2o254b2o254b2o254b2o254b2o510b2o254b2o254b2o254b2o254b2o510b2o
1278b2o510b2o3$554bo10bo756bo10bo244bo10bo244bo10bo1524bo10bo756bo10bo
500bo10bo244bo10bo244bo10bo756bo10bo244bo10bo244bo10bo244bo10bo244bo
10bo244bo10bo500bo10bo244bo10bo244bo10bo244bo10bo244bo10bo500bo10bo
1268bo10bo500bo10bo$553b5o5bob2o11bo742b5o5bob2o11bo230b5o5bob2o11bo
230b5o5bob2o11bo1510b5o5bob2o11bo742b5o5bob2o11bo486b5o5bob2o11bo230b
5o5bob2o11bo230b5o5bob2o11bo742b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob
2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo486b5o5bob2o11bo
230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo486b5o
5bob2o11bo1254b5o5bob2o11bo486b5o5bob2o11bo$552bo10bo3bo9bo742bo10bo3b
o9bo230bo10bo3bo9bo230bo10bo3bo9bo1510bo10bo3bo9bo742bo10bo3bo9bo486bo
10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo742bo10bo3bo9bo230bo10bo3bo9bo
230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo486bo10bo
3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo486b
o10bo3bo9bo1254bo10bo3bo9bo486bo10bo3bo9bo$553b2o8b3obo9b2o742b2o8b3ob
o9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o1510b2o8b3obo9b2o742b2o8b3obo9b2o
486b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o742b2o8b3obo9b2o230b2o
8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo
9b2o486b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o
230b2o8b3obo9b2o486b2o8b3obo9b2o1254b2o8b3obo9b2o486b2o8b3obo9b2o$554b
2o9b2o12bo742b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo1510b2o9b2o12bo
742b2o9b2o12bo486b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo742b2o9b2o12bo
230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo
486b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo
486b2o9b2o12bo1254b2o9b2o12bo486b2o9b2o12bo$541b2o13bo21b3o728b2o13bo
21b3o216b2o13bo21b3o216b2o13bo21b3o1496b2o13bo21b3o728b2o13bo21b3o472b
2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o728b2o13bo21b3o216b2o13bo21b
3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o472b2o
13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o
472b2o13bo21b3o1240b2o13bo21b3o472b2o13bo21b3o$541b2o35b3o728b2o35b3o
216b2o35b3o216b2o35b3o1496b2o35b3o728b2o35b3o472b2o35b3o216b2o35b3o
216b2o35b3o728b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b
2o35b3o472b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o472b2o
35b3o1240b2o35b3o472b2o35b3o7$549b2o766b2o254b2o254b2o1534b2o766b2o
510b2o254b2o254b2o766b2o254b2o254b2o254b2o254b2o254b2o510b2o254b2o254b
2o254b2o254b2o510b2o1278b2o510b2o$549b2o11b2o753b2o11b2o241b2o11b2o
241b2o11b2o1521b2o11b2o753b2o11b2o497b2o11b2o241b2o11b2o241b2o11b2o
753b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o497b
2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o497b2o11b2o1265b2o
11b2o497b2o11b2o$560b2o2bo763b2o2bo251b2o2bo251b2o2bo1531b2o2bo763b2o
2bo507b2o2bo251b2o2bo251b2o2bo763b2o2bo251b2o2bo251b2o2bo251b2o2bo251b
2o2bo251b2o2bo507b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo507b2o2bo
1275b2o2bo507b2o2bo$565bo3bo763bo3bo251bo3bo251bo3bo1531bo3bo763bo3bo
507bo3bo251bo3bo251bo3bo763bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo
3bo507bo3bo251bo3bo251bo3bo251bo3bo251bo3bo507bo3bo1275bo3bo507bo3bo$
559bo5bo3bo757bo5bo3bo245bo5bo3bo245bo5bo3bo1525bo5bo3bo757bo5bo3bo
501bo5bo3bo245bo5bo3bo245bo5bo3bo757bo5bo3bo245bo5bo3bo245bo5bo3bo245b
o5bo3bo245bo5bo3bo245bo5bo3bo501bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo
3bo245bo5bo3bo501bo5bo3bo1269bo5bo3bo501bo5bo3bo$560bo2b2o3bobo757bo2b
2o3bobo245bo2b2o3bobo245bo2b2o3bobo1525bo2b2o3bobo757bo2b2o3bobo501bo
2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo757bo2b2o3bobo245bo2b2o3bobo245bo
2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo501bo2b2o3bobo245bo
2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo501bo2b2o3bobo1269b
o2b2o3bobo501bo2b2o3bobo$561b3o5bo759b3o5bo247b3o5bo247b3o5bo1527b3o5b
o759b3o5bo503b3o5bo247b3o5bo247b3o5bo759b3o5bo247b3o5bo247b3o5bo247b3o
5bo247b3o5bo247b3o5bo503b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo503b
3o5bo1271b3o5bo503b3o5bo$569bo767bo255bo255bo1535bo767bo511bo255bo255b
o767bo255bo255bo255bo255bo255bo511bo255bo255bo255bo255bo511bo1279bo
511bo179$10776bo$10777bo$10775b3o7$10005bo$10003bobo519bobo521bo$9749b
o254b2o520b2o522b2o$9492bo257b2o774bo522b2o$9236bo256b2o254b2o$9234bob
o255b2o$9235b2o1035bobo$10273b2o$10273bo$8982bobo$8471bo511b2o$5386bo
3085bo256bo253bo$5387bo2570bo511b3o257bo$5385b3o2058bo512b2o256bo510b
3o$5645bo1798bobo511b2o255bobo$5646b2o1285bo511b2o257bo511b2o$5645b2o
1031bo255b2o769b2o$6422bo256bo253b2o258bo510b2o$3594bo1541bo1025bobo
255bobo254b3o511bobo$2307bo1284bobo1542bo1025b2o256b2o769b2o$48b2o254b
2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o210b2o42b2o254b2o254b2o
216bo37b2o254b2o215b2o37b2o254b2o254b2o254b2o254b2o254b2o221b3o30b2o
254b2o254b2o254b2o225bo28b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o
254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b
2o$48b4o252b4o252b4o252b4o252b4o252b4o252b4o252b4o209bo42b4o207b2o43b
4o252b4o252b4o215bo36b4o252b4o252b4o252b4o219bo32b4o252b4o252b4o252b4o
252b4o252b4o252b4o224bobo25b4o252b4o252b4o252b4o252b4o252b4o252b4o252b
4o252b4o252b4o252b4o252b4o252b4o252b4o252b4o252b4o252b4o252b4o252b4o
252b4o252b4o$48bob2o252bob2o252bob2o252bob2o252bob2o252bob2o252bob2o
252bob2o210bo41bob2o252bob2o252bob2o252bob2o213b3o36bob2o252bob2o252bo
b2o252bob2o220bo31bob2o252bob2o221bo30bob2o222bo29bob2o252bob2o252bob
2o252bob2o225b2o25bob2o252bob2o252bob2o252bob2o252bob2o252bob2o252bob
2o252bob2o252bob2o252bob2o252bob2o252bob2o252bob2o252bob2o252bob2o252b
ob2o252bob2o252bob2o252bob2o252bob2o252bob2o$2052b3o2055b3o255bobo255b
2o255b2o1024bo$49bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo
255bo255bo220bo34bo255bo255bo255bo223b2o30bo223b2o30bo224b2o29bo255bo
255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo
255bo255bo255bo255bo255bo255bo255bo255bo255bo$48b2o203bo50b2o254b2o
254b2o209bo44b2o254b2o254b2o254b2o254b2o254b2o254b2o218bo35b2o254b2o
221b2o31b2o254b2o223bo30b2o254b2o223bo30b2o254b2o254b2o254b2o254b2o
254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b
2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o$48b3o
203b2o48b3o253b3o207bobo43b3o209b2o42b3o253b3o253b3o253b3o253b3o253b3o
253b3o215bobo35b3o253b3o219b2o32b3o253b3o223b2o28b3o253b3o253b3o253b3o
253b3o253b3o253b3o253b3o253b3o253b3o253b3o253b3o253b3o253b3o253b3o253b
3o253b3o253b3o253b3o253b3o253b3o253b3o253b3o253b3o253b3o253b3o253b3o
253b3o253b3o$50bo202b2o51bo255bo208b2o45bo208b2o45bo255bo255bo215bo39b
o255bo255bo255bo216b2o37bo255bo255bo255bo222b2o31bo255bo255bo255bo255b
o255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255b
o255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo$62b2o254b2o254b2o
195bo58b2o254b2o200bo53b2o201bo52b2o200bobo51b2o254b2o254b2o204bobo47b
2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o
254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b
2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o$62b2o
254b2o254b2o254b2o254b2o198bobo53b2o199bobo52b2o201b2o51b2o254b2o254b
2o205b2o47b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o
254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b
2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o
254b2o$2bo514bo769b2o255b2o1027bo$obo515bo$b2o513b3o4$65bo255bo255bo
255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo
255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo
255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo$64b
2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o
254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b
2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o
254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o$63bo3bo251bo3bo
251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo
3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo
251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo
3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo
251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo$64b2o
2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b
2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo
251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o
2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b
2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo
251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo$69bo255bo255bo255bo255bo
255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo
255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo
255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo$66bobo253bobo
253bobo253bobo253bobo253bobo253bobo253bobo253bobo253bobo253bobo253bobo
253bobo253bobo253bobo253bobo253bobo253bobo253bobo253bobo253bobo253bobo
253bobo253bobo253bobo253bobo253bobo253bobo253bobo253bobo253bobo253bobo
253bobo253bobo253bobo253bobo253bobo253bobo253bobo253bobo253bobo253bobo
253bobo253bobo$67bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo
255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo
255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo
255bo255bo255bo255bo255bo$67bo255bo255bo255bo255bo255bo255bo255bo255bo
255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo
255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo
255bo255bo255bo255bo255bo255bo255bo$67b2o254b2o254b2o254b2o254b2o254b
2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o
254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b
2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o
254b2o254b2o254b2o254b2o$67b2o254b2o254b2o254b2o254b2o254b2o254b2o254b
2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o
254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b
2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o
254b2o254b2o3$42bo10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo
244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo
10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo
244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo
10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo
244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo10bo244bo
10bo$41b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo
230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o
5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o
11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo
230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o
5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o
11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo
230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o
5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o
11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo230b5o5bob2o11bo
230b5o5bob2o11bo$40bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo
3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230b
o10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9b
o230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo
3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230b
o10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9b
o230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo
3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230b
o10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9b
o230bo10bo3bo9bo230bo10bo3bo9bo230bo10bo3bo9bo$41b2o8b3obo9b2o230b2o8b
3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b
2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b
2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3o
bo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o
230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o
8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo
9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o
230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o
8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo
9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o230b2o8b3obo9b2o$42b2o9b2o12bo230b
2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b
2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b
2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b
2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b
2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b
2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b
2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b
2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo230b
2o9b2o12bo230b2o9b2o12bo230b2o9b2o12bo$29b2o13bo21b3o216b2o13bo21b3o
216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo
21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b
2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b
3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o
13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o
216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo
21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b
2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b
3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o13bo21b3o216b2o
13bo21b3o$29b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o
35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b
3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o
216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b
2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o
35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b
3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o216b2o35b3o
216b2o35b3o7$37b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b
2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o
254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b
2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o254b2o$
37b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b
2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o
11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b
2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o
241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b
2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o
11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b2o241b2o11b
2o$48b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b
2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo
251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o
2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b
2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo
251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo251b2o2bo$53bo3bo251bo3bo
251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo
3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo
251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo
3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo
251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo251bo3bo$47bo
5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo
3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo
245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245b
o5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo
3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo
245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245b
o5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo245bo5bo3bo$48bo2b
2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b
2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b
2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b
2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b
2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b
2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b
2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b
2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b
2o3bobo245bo2b2o3bobo245bo2b2o3bobo245bo2b2o3bobo$49b3o5bo247b3o5bo
247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o
5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b
3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo
247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o
5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b3o5bo247b
3o5bo247b3o5bo247b3o5bo247b3o5bo$57bo255bo255bo255bo255bo255bo255bo
255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo
255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo255bo
255bo255bo255bo255bo255bo255bo255bo255bo255bo!
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Re: Spaceship Discussion Thread

Postby dvgrn » January 2nd, 2018, 9:00 am

Extrementhusiast wrote:
dvgrn wrote:Like the 3-engine Cordership, the two engines can be stopped by a single glider from behind without releasing any gliders or spaceships. If someone could find the cases where the smallest amount of junk is produced, that would be great...


Which of the 142 possibilities without extra gliders would you like?

All of them -- thanks! More specifically, we'll want the one that can be cleaned up into a single block or other slow-salvo target with the fewest additional gliders. Maybe one of these --

x = 144, y = 209, rule = B3/S23
bo$2bo$3o$99bo$97bobo$98b2o5$42b2o78b2o$42b4o76b4o$42bob2o76bob2o2$43b
o79bo$42b2o78b2o$42b3o77b3o$44bo79bo$56b2o78b2o$56b2o78b2o7$59bo79bo$
58b2o78b2o$57bo3bo75bo3bo$58b2o2bo75b2o2bo$63bo79bo$60bobo77bobo$61bo
79bo$61bo79bo$61b2o78b2o$61b2o78b2o3$36bo10bo68bo10bo$35b5o5bob2o11bo
54b5o5bob2o11bo$34bo10bo3bo9bo54bo10bo3bo9bo$35b2o8b3obo9b2o54b2o8b3ob
o9b2o$36b2o9b2o12bo54b2o9b2o12bo$23b2o13bo21b3o40b2o13bo21b3o$23b2o35b
3o40b2o35b3o7$31b2o78b2o$31b2o11b2o65b2o11b2o$42b2o2bo75b2o2bo$47bo3bo
75bo3bo$41bo5bo3bo69bo5bo3bo$42bo2b2o3bobo69bo2b2o3bobo$43b3o5bo71b3o
5bo$51bo79bo13$99bo$100bo$98b3o5$12bobo$13b2o$13bo28b2o78b2o$42b4o76b
4o$42bob2o76bob2o2$43bo79bo$42b2o78b2o$42b3o77b3o$44bo79bo$56b2o78b2o$
56b2o78b2o7$59bo79bo$58b2o78b2o$57bo3bo75bo3bo$58b2o2bo75b2o2bo$63bo
79bo$60bobo77bobo$61bo79bo$61bo79bo$61b2o78b2o$61b2o78b2o3$36bo10bo68b
o10bo$35b5o5bob2o11bo54b5o5bob2o11bo$34bo10bo3bo9bo54bo10bo3bo9bo$35b
2o8b3obo9b2o54b2o8b3obo9b2o$36b2o9b2o12bo54b2o9b2o12bo$23b2o13bo21b3o
40b2o13bo21b3o$23b2o35b3o40b2o35b3o7$31b2o78b2o$31b2o11b2o65b2o11b2o$
42b2o2bo75b2o2bo$47bo3bo75bo3bo$41bo5bo3bo69bo5bo3bo$42bo2b2o3bobo69bo
2b2o3bobo$43b3o5bo71b3o5bo$51bo79bo13$103bobo$104b2o$104bo3$16bo$17bo$
15b3o2$42b2o$42b4o$42bob2o2$43bo$42b2o$42b3o$44bo$56b2o$56b2o$122b2o$
122b4o$122bob2o2$123bo$122b2o$59bo62b3o$58b2o64bo$57bo3bo74b2o$58b2o2b
o73b2o$63bo$60bobo$61bo$61bo$61b2o$61b2o$139bo$138b2o$36bo10bo89bo3bo$
35b5o5bob2o11bo77b2o2bo$34bo10bo3bo9bo83bo$35b2o8b3obo9b2o79bobo$36b2o
9b2o12bo79bo$23b2o13bo21b3o78bo$23b2o35b3o78b2o$141b2o3$116bo10bo$115b
5o5bob2o11bo$114bo10bo3bo9bo$31b2o82b2o8b3obo9b2o$31b2o11b2o70b2o9b2o
12bo$42b2o2bo56b2o13bo21b3o$47bo3bo51b2o35b3o$41bo5bo3bo$42bo2b2o3bobo
$43b3o5bo$51bo3$111b2o$111b2o11b2o$122b2o2bo$127bo3bo$121bo5bo3bo$122b
o2b2o3bobo$123b3o5bo$131bo!

-- unless one of the others has a really lucky shot that cleans up most of the remaining junk in one implosion.

This year I'm hoping to develop slow-salvo search tools to produce more efficient 0-degree construction recipes. For example, slmake currently starts from a single block, and painfully breaks up the block into several targets and moves each one into position. Occasionally it comes up with solutions that shoot down perfectly good pieces of target junk, and then move a faraway target in to replace it later when it turns out to be necessary.

The relevance here is that there's generally no need to reduce the Cordership to a single target block before beginning a construction. Really we want to reduce it to maybe half a dozen targets that will serve as starting points for constructing different parts of the final circuitry (whatever that is). So it's good to find cleanup options that leave a sparse shallow junk field, where each remaining piece can either be put to use, or can be shot down with a single glider if it's not needed.

We'll be able to apply the same idea to optimizing the Snarkmaker recipe. The current slmake-compiled recipe takes something like a third of the entire recipe just to convert one block into four separate targets. There's probably some slightly messy explosion that will put targets in about the right places, with a little extra junk to clean up. Along with the zero-degree elbowless idea, that ought to cut the recipe length by more than a factor of two.

Another possible way to improve efficiency is to stop being so obsessively tidy about stable circuitry. In cases like the quadratic-growth replicator where the circuitry doesn't have to be destroyed after it's used, it will probably be fine to shoot down the Cordership, use the nearest few blocks to build whatever we want, and just leave the rest of the Cordership debris where it appeared... and not clean up other leftover construction junk either, unless it's actually in the way. This will produce circuitry that looks strangely like random ash, but it will have a shorter slow-salvo recipe and will still work just fine.
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Re: Spaceship Discussion Thread

Postby BlinkerSpawn » January 2nd, 2018, 9:01 am

This looks like the best one:
x = 49, y = 53, rule = B3/S23
bo$2bo$3o2$27b2o$27b4o$27bob2o2$28bo$27b2o$27b3o$29bo$41b2o$41b2o7$44b
o$43b2o$42bo3bo$43b2o2bo$48bo$45bobo$46bo$46bo$46b2o$46b2o3$21bo10bo$
20b5o5bob2o11bo$19bo10bo3bo9bo$20b2o8b3obo9b2o$21b2o9b2o12bo$8b2o13bo
21b3o$8b2o35b3o7$16b2o$16b2o11b2o$27b2o2bo$32bo3bo$26bo5bo3bo$27bo2b2o
3bobo$28b3o5bo$36bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Re: Spaceship Discussion Thread

Postby dvgrn » January 2nd, 2018, 1:53 pm

dvgrn wrote:That makes a fairly compact 15sL Cordership seed:

x = 62, y = 61, rule = B3/S23
21bo$20bobo$20b2o4$17bo$16bobo13b2o$17b2o13b2o3$17bo$16bobo$17b2o2$40b
2o$40b2o2$45b2o$45bobo$23bo22bo$22bobo$22b2o2$7bo4bo$6bobo2bobo$7b2o3b
2o2$b2o$obo$bo2$18b2o$18bobo16bo$19bo16bobo$37b2o3$30bo$29bobo$7b2o21b
o$7b2o11$17b2o$17bobo$18bo4$59b2o$59bobo$59bo!

Meant to mention -- this could (probably) be trivially reduced at least to 13 still lifes, if there is some two-object constellation that produces a switch engine in a different orientation -- i.e., when a trigger glider hits it from behind.

Are there any such constellations known, or has it been proven that there aren't any such? The above switch-engine seeds are 3sL only because of the extra boat turners to correct the orientation.
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Re: Spaceship Discussion Thread

Postby Sokwe » January 3rd, 2018, 1:10 am

Congratulations on the new ship!

dvgrn wrote:Not too surprisingly, an eater for the 2-engine Cordership turns out to be fairly trivial.
x = 102, y = 96, rule = B3/S23
17bo$16bobo$16bobo18b2o$14b3ob2o17b2o$13bo$14b3ob2o$16bob2o4$45b2o$45b
2o2$4bo$3bobo$3bobo$b3ob2o$o$b3ob2o$3bob2o20$8b2o$8b2o12$68bo$67b3o$
66b2ob2o$67b3o14bo$68bo14b3o$68bobo11bo3bo$68b4o9b2o2b3o$71bo10bo3bo$
82bo2bo$67b2ob2o11bobo6b2o$66bo5bo19b2o$67bo3bo$68bo2$83bob2o$82b5o$
82b4o$54bo42b2o$54b4o6bo18b3o14bo$54bo3bo5bo18b3o9bo4bo$84bo4b2o4bo5bo
$56b3o29b3o4bo3b2o$87b4o6bob2o$85b2o2b3obo$85b2obo2b2o$84b2o6bo$85bo2b
o$86b3o$80b2o$80b2o$79bo2bo$79bob2o$76b3o$77b2o$59b2o9b2o2bo$59b2o5b2o
bo4b2o$70bobob2o$72b2o5$67b2o$67b2o!
#C [[ STEP 9 ]]

Why use an eater 2, when a standard eater works fine?
x = 99, y = 94, rule = B3/S23
34b2o$13bo20b2o$13b3o$16bo$15b2o4$42b2o$42b2o5$o$3o$3bo$2b2o20$5b2o$5b
2o12$65bo$64b3o$63b2ob2o$64b3o14bo$65bo14b3o$65bobo11bo3bo$65b4o9b2o2b
3o$68bo10bo3bo$79bo2bo$64b2ob2o11bobo6b2o$63bo5bo19b2o$64bo3bo$65bo2$
80bob2o$79b5o$79b4o$51bo42b2o$51b4o6bo18b3o14bo$51bo3bo5bo18b3o9bo4bo$
81bo4b2o4bo5bo$53b3o29b3o4bo3b2o$84b4o6bob2o$82b2o2b3obo$82b2obo2b2o$
81b2o6bo$82bo2bo$83b3o$77b2o$77b2o$76bo2bo$76bob2o$73b3o$74b2o$56b2o9b
2o2bo$56b2o5b2obo4b2o$67bobob2o$69b2o5$64b2o$64b2o!
#C [[ STEP 9 ]]
-Matthias Merzenich
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Re: Spaceship Discussion Thread

Postby gmc_nxtman » January 3rd, 2018, 4:58 am

Not sure if this is known, because I don't really know where to look for this kind of stuff except for jslife, but here's a nice 180-degree reflection that preserves the mod-4 timing of a glider, allowing for a simple, minimal-population shuttle:

x = 67, y = 128, rule = B3/S23
12bo$12bo5b3o$11bobo3b2o2bo$12bo3bo5bo$12bo3bo$17bo2b2o$18b2o11b2o$31b
2o7$b3o35b2o$b3o21bo13b2o$2bo12b2o9b2o$3b2o9bob3o8b2o$4bo9bo3bo10bo$3b
o11b2obo5b5o$16bo10bo3$b2o$b2o$2bo$2bo$bobo$o$bo2b2o$2bo3bo$4b2o$4bo7$
6b2o$6b2o$19bo$19b3o$20b2o$20bo2$18b2obo$18b4o$20b2o31$46bobo$44b2obob
o$44bob3o$45bo$46bo$45b2o$45b3o$47bo$59b2o$59b2o7$62bo$61b2o$60bo3bo$
61b2o2bo$66bo$63bobo$64bo$64bo$64b2o$64b2o3$39bo10bo$38b5o5bob2o11bo$
37bo10bo3bo9bo$38b2o8b3obo9b2o$39b2o9b2o12bo$26b2o13bo21b3o$26b2o35b3o
7$34b2o$34b2o11b2o$45b2o2bo$50bo3bo$44bo5bo3bo$45bo2b2o3bobo$46b3o5bo$
54bo!


EDIT3: More reactions:

x = 680, y = 61, rule = B3/S23
573bo74bobo$574b2o73b2o$253bobo317b2o74bo$254b2o70bo169bo$254bo72bo
169bo$325b3o167b3o4$8bobo79bo$9b2o80b2o$9bo80b2o317bo$25b2o78b2o158b2o
78b2o60bobo15b2o78b2o78b2o78b2o$25b2o78b2o158b2o78b2o61b2o15b2o78b2o
78b2o78b2o2$20bo79bo159bo79bo79bo79bo79bo79bo$18b2obo76b2obo156b2obo
76b2obo76b2obo76b2obo76b2obo76b2obo$18b2obo76b2obo156b2obo76b2obo76b2o
bo76b2obo76b2obo76b2obo$15b3o2bo74b3o2bo154b3o2bo74b3o2bo74b3o2bo74b3o
2bo74b3o2bo74b3o2bo$15bo79bo159bo79bo79bo79bo79bo79bo$15bobo15b2o60bob
o15b2o140bobo15b2o60bobo15b2o60bobo15b2o60bobo15b2o60bobo15b2o60bobo
15b2o$16b2o15b2o61b2o15b2o141b2o15b2o61b2o15b2o61b2o15b2o61b2o15b2o61b
2o15b2o61b2o15b2o$14bo79bo159bo79bo79bo79bo79bo79bo$13bobo77bobo157bob
o77bobo77bobo77bobo77bobo77bobo$15bo79bo159bo79bo79bo79bo79bo79bo$12b
2o78b2o158b2o78b2o78b2o78b2o78b2o78b2o$14bo79bo159bo79bo79bo79bo79bo
79bo$11bobo77bobo157bobo77bobo77bobo77bobo77bobo77bobo$11bobo77bobo
157bobo77bobo77bobo77bobo77bobo77bobo$10bo79bo159bo79bo79bo79bo79bo79b
o$11b2o78b2o158b2o78b2o78b2o78b2o78b2o78b2o$4bo79bo159bo79bo79bo79bo
79bo79bo$3bo31b5o43bo31b5o123bo31b5o43bo31b5o43bo31b5o43bo31b5o43bo31b
5o43bo31b5o$4bo4bo25bo48bo4bo25bo128bo4bo25bo48bo4bo25bo48bo4bo25bo48b
o4bo25bo48bo4bo25bo48bo4bo25bo$8b2obo24b3o49b2obo24b3o129b2obo24b3o49b
2obo24b3o49b2obo24b3o49b2obo24b3o49b2obo24b3o49b2obo24b3o$7bo3bo24bobo
48bo3bo24bobo128bo3bo24bobo48bo3bo24bobo48bo3bo24bobo48bo3bo24bobo48bo
3bo24bobo48bo3bo24bobo$8b4o24bo51b4o24bo131b4o24bo51b4o24bo51b4o24bo
51b4o24bo51b4o24bo51b4o24bo$6b3o77b3o157b3o77b3o77b3o77b3o77b3o77b3o$
6bobo77bobo157bobo77bobo77bobo77bobo77bobo77bobo$6bobo29b2o46bobo29b2o
126bobo29b2o46bobo29b2o46bobo29b2o46bobo29b2o46bobo29b2o46bobo29b2o$9b
o27b3o49bo27b3o129bo27b3o49bo27b3o49bo27b3o49bo27b3o49bo27b3o49bo27b3o
$7b2o13bobo12bobo47b2o13bobo12bobo127b2o13bobo12bobo47b2o13bobo12bobo
47b2o13bobo12bobo47b2o13bobo12bobo47b2o13bobo12bobo47b2o13bobo12bobo$
21bo2bo76bo2bo156bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo$21bo2b2o75bo
2b2o155bo2b2o75bo2b2o75bo2b2o75bo2b2o75bo2b2o75bo2b2o$22b3ob2o74b3ob2o
154b3ob2o74b3ob2o74b3ob2o74b3ob2o74b3ob2o74b3ob2o$2o22bo2bo52b2o22bo2b
o132b2o22bo2bo52b2o22bo2bo52b2o22bo2bo52b2o22bo2bo52b2o22bo2bo52b2o22b
o2bo$2o78b2o158b2o78b2o78b2o78b2o78b2o78b2o2$23bo2bo76bo2bo156bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo$24bobo77bobo157bobo77bobo77bobo77bobo
77bobo77bobo$25bo79bo159bo79bo79bo79bo79bo79bo3$8b2o78b2o158b2o78b2o
78b2o78b2o78b2o78b2o$8b2o78b2o158b2o78b2o78b2o78b2o78b2o78b2o$23b2o78b
2o158b2o78b2o78b2o78b2o78b2o78b2o$22b3o77b3o157b3o77b3o77b3o77b3o77b3o
77b3o$23b2o78b2o158b2o78b2o78b2o78b2o78b2o78b2o$25bo79bo159bo79bo79bo
79bo79bo79bo$25bo79bo159bo79bo79bo79bo79bo79bo$25bo79bo159bo79bo79bo
79bo79bo79bo!
Last edited by gmc_nxtman on January 3rd, 2018, 8:30 am, edited 3 times in total.
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Re: Spaceship Discussion Thread

Postby dbell » January 3rd, 2018, 6:23 am

That's a nice glider reflection from the new Cordership, using its new side which didn't exist in previous Corderships.

Here is another reflection on the same side, which is interesting since it takes quite a while to happen.

x = 44, y = 70
15b3o$14bo3bo$13bo3boo$14bo$15b4o$17boboo$17bobbo$18boo12boo$32boo3$
17bo$17bo$16bobo$17bo$17boo21boo$17b3o20boo$$3bo11bo4boo$bb3o10bo5bo$b
obobo9bo5bo12bo$3ob3o13bo15bo$31bo5bo$bbob3o23boo$bb5o21b3ob3o$bboobb
oo22bo3boboo$4boboo20boo$6boo25boo$bbobobbo23boo$bobobbo24bo$bbo30bo$
30boo$32bo$30boo$$27boo$25bobo$24bo$25bobbo$26boobo$7boo18bo$7boo12b3o
$21bobbo$20bo4bo$19b3o$19boo$20boobo$21b3o$15boo$15boo18$41b3o$41bo$
42bo!

There are also the reflections using its other side, which is the same as in previous Corderships.

Such reflections have been used before, for example in the caber tosser and the infinite glider hotel.

I suppose we now have to update all of the old Cordership-based objects to use the new smaller one.

Here is one such update.

#C A pattern using four Corderships whose population grows logarithmically.
#C Gliders are reflected back and forth between pairs of Corderships while
#C being duplicated.  This uses Aidan F. Pierce's new 2-engine Cordership,
#C and so is smaller than the previous version.
#C David I. Bell, 3 January 2018
x = 118, y = 134
53bo$52bobo$$52bobbo$54boo$55bo$69boo$69boo3$52boo$54bo$52boo$44bo25bo
$36b3o3b4o24boo5boo$36bobo3booboo23boo5boo$36b3obbo26bobo$41boo3bo5bo
16boo$42b4o7boo16bo$43b3o23bobbo$72bo$69b3o$$67bo$65bobo$67bo$64bobo$
64bo$51bo12bobo$40boo9b3o11boo$39bobobo7b3o$39bo3boo5bo3bo$40boo8b4o6b
oo$40b3o7boboo4boobbo$59boboo$56booboo$56b3o$56bo$56boobbo$12b5o7bo19b
oo11b3o$10boo5boo4bobo18boo11boo$10bo7bo4bo$10boo7bo3bobbo28bo$12boo6b
o3b3o26b3o$15bo36bobbo$15bo4bo13boo17bobbo$16boobo14boo18bobo$54b3o4$b
o$obo$31bo3bo6boo$obbo3bob3o17bobbob3o5boo63boo$bbo4bo24bobobo70boo$3b
oboobobo9bobo7bo$4boo3bo4boo4b3obobooboo$5bo8boo6bobboo3bobo3bo$30bobo
$$104bo3boo$102boobob3o3bo$102bo4b3o3bo$102bo3bo6bo$67b3o33b3o$49bo17b
o37bo$12bo37bo17bo$12b3o33b3o$4bo6bo3bo$4bo3b3o4bo$4bo3b3oboboo$8boo3b
o$$85bobo$81bo3bobo3boobbo6boo8bo$87booboobob3o4boo4bo3boo$87bo7bobo9b
oboboobo$9boo70bobobo24bo4bo$9boo63boo5b3obobbo17b3obo3bobbo$74boo6bo
3bo$115bobo$116bo4$61b3o$61bobo18boo14boboo$61bobbo17boo13bo4bo$62bobb
o36bo$62b3o26b3o3bo6boo$62bo28bobbo3bo7boo$94bo4bo7bo$59boo11boo18bobo
4boo5boo$58b3o11boo19bo7b5o$57bobboo$61bo$59b3o$57booboo$55boobo$55bo
bboo4boobo7b3o$56boo6b4o8boo$63bo3bo5boo3bo$64b3o7bobobo$51boo11b3o9b
oo$51bobo12bo$53bo$51bobo$50bo$50bobo$50bo$$46b3o$45bo$45bobbo23b3o$
46bo16boo7b4o$47boo16bo5bo3boo$47bobo26bobb3o$39boo5boo23booboo3bobo$
39boo5boo24b4o3b3o$47bo25bo$64boo$63bo$64boo3$47boo$47boo$62bo$62boo$
62bobbo$$63bobo$64bo!

Would someone please update the infinite glider hotel for me? I'm not actually sure what the best injection mechanism is for it nowadays. (There have been quite a few versions.)

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Re: Spaceship Discussion Thread

Postby chris_c » January 3rd, 2018, 7:54 am

dbell wrote:Would someone please update the infinite glider hotel for me? I'm not actually sure what the best injection mechanism is for it nowadays. (There have been quite a few versions.)


Here is my effort. The basic Herschel edge shooter is a couple of ticks too slow so the more complicated version was necessary:

x = 176, y = 115, rule = B3/S23
28bo$14b2o7b2o2bobo$14b3o6b4o3bo$14b2obobo7bo$17b2o10bob2o$29bobo$30bo
8b2o$39b2o4$2bo$2ob2o$2bo$17b2o$16bo2bo$3b2o11b2ob2o$2bo2bo11bo$b2o3bo
10b3o26b2o$bo4bo34b2o3b2o$bo3bo36b3o2b2o$2bo2bo36b2o2b3o$3bo2$19bo$15b
o3bo$16bo2bo$16b2ob2o$17bobo$18bo2$6b2o$6b2o7$14b2o$14b2o14$65b2o$64bo
bo$58b2o4bo$56bo2bo2b2ob4o$37b2o17b2obobobobo2bo$37b2o20bobobobo$52bo
6bobob2o$37bo12b3o7bo$36bobo10bo$36bo2bo9b2o22b2o$37bo2bo23b2o7bo$45bo
18b2o5bobo$37bo2bo3bobo24b2o$37b2o4bo2bo$44b2o11bo$57bobo$57b2o3$61b2o
$62bo97b2o$59b3o98b2o$22b2o35bo$23bo26b2o$23bobo17b2o4bo2bo71bo$24b2o
17b2o5bobo69b3o$51bo69bo$121b2o$28b3o11bob2o9b2o111b2o$31bo10bobo10bo
112b2o$27bo3b2o10bo12b3o$28bo2bo11b2o13bo98bo$29b2o12b2o111bobo$29bo
13b2o110b2ob2o$62bo42bo50bo2bo$25bo36b3o38b3o50bo3bo$20b3ob2o2b2o35bo
36bo53bo$20b4o4b2o22bo11b2o11b2o23b2o$24b2o24b3o24b2o9b2o82bo$49bo38bo
bo36b3o2b2o36bo2bo$49b2o37bo4b2o32b2o2b3o36bo3bo$34b2o57bobo32b2o3b2o
34bo4bo$35bo57bob2o31b2o26b3o10bo3b2o$35bob2o53bob2o62bo11bo2bo$36bo2b
o52b3o19b2o39b2ob2o11b2o$37b2o14bo59bo2bo39bo2bo$53b2o59b2o41b2o$52bo
2bo33b2o82bo$53b2o35bo80b2ob2o$49b2o36b3o6bob2o17b2o54bo$49b2o36bo6b3o
b2o17bo$61bo3b2o26bo24b3o$60bobo3bo27b3ob2o20bo$59bobo3bo12b2o16bobo
36b2o$55b2obobo3bo13bobo15bobo36b2o8bo$55b2obo2b4obo13bo16bo10b2o34bob
o$59bobo3bobo12b2o26bo34b2obo10b2o$55b2ob2o2bo2bobo41b3o36bo7bobob2o$
56bobo2b2o3bo44bo33bo3b4o6b3o$44b2o10bobo87bobo2b2o7b2o$44b2o11bo89bo!
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Re: Spaceship Discussion Thread

Postby dbell » January 3rd, 2018, 11:13 pm

Here is a four-engine Cordership rake built from two adjacent two-engine Corderships.

#C A period 96 c/12 sideways Cordership rake made of four switch engines.
#C This is composed of two of Aidan F. Pierce's new 2-engine Corderships
#C whose edges react to create gliders.  This is an improvement on the
#C same edge reaction that previously used two 3-engine Coorderships.
#C David I. Bell, 4 January 2018
x = 73, y = 96
45bo$44boboo$48bo$42bo3bobbo$40bo9bo11b3o$40bo4boobboo$49boo$42bo5bo$
43bo4b3o$44bo4boo12b3o5boo$46b4o12booboo4boo$33b3o25boboboo$33bobbo24b
o3bo$36bo25bobbo$33boo15boo10b3o$32bobo15boo$33bobb3o$34boobbo$34bo3bo
$35bobo10bobo$37bo12bo$34bobbo16bo$34bo13b3o$49boo$33boobbo11boo$34b3o
13boo$51bo$$22bo26bo$8bobo6bobb4o24bobo$7bo9bob4o25bo$8bobbo6b3o3boo
21bo3boo$10b3o9bobboo21bobboo$23boboo21bo$24bo8boo3boo$33boo3boo7boobb
oo$47b6o$50bo4$bo31b3o$bo7bo21bo4bo4boo3boo$bo5b3o23boboo4boo3boo$oo3b
obo22b3o$6bobbo13bo$5bobboo3boo9bobobo$13boo5b5o3bo$21boobbobbo$26boo
8$9boo3boo$3bo3b4o3bobo$3boboobbobbo3bo$3boboo4bo3boo$7bo3bo32bo$12bo
30bo$43b3o4$8boo$8boo25$28bo$27bo$27b3o!

Shall we try for a three-engine rake? There might be a good chance of one existing. Maybe that search script could be adapted to find it.

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Re: Spaceship Discussion Thread

Postby HartmutHolzwart » January 4th, 2018, 4:05 am

Coming back to the 2-engine cordership search:

There could be different orbits for the 2-engine puffers, there is even the unlikely chance of a clean rake. Has this search space already been investigated?
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Re: Spaceship Discussion Thread

Postby A for awesome » January 4th, 2018, 11:27 am

HartmutHolzwart wrote:Coming back to the 2-engine cordership search:

There could be different orbits for the 2-engine puffers, there is even the unlikely chance of a clean rake. Has this search space already been investigated?

My search script already does -- it initializes a small random soup behind each switch engine pair, so it's pretty much orbit agnostic (that is, if you leave it running long enough, it should find almost all possible orbits that aren't ridiculously unlikely, such as, for instance, a 3-engine Cordership).
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

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Re: Spaceship Discussion Thread

Postby Extrementhusiast » January 4th, 2018, 8:54 pm

Forward glider to backward LWSS and block:
x = 68, y = 55, rule = B3/S23
obo$b2o$bo4$46b2o$46b4o$46bob2o2$47bo$46b2o$46b3o$48bo$60b2o$60b2o7$
63bo$62b2o$61bo3bo$62b2o2bo$67bo$64bobo$65bo$65bo$65b2o$65b2o3$40bo10b
o$39b5o5bob2o11bo$38bo10bo3bo9bo$39b2o8b3obo9b2o$40b2o9b2o12bo$27b2o
13bo21b3o$27b2o35b3o7$35b2o$35b2o11b2o$46b2o2bo$51bo3bo$45bo5bo3bo$46b
o2b2o3bobo$47b3o5bo$55bo!
I Like My Heisenburps! (and others)
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Re: Spaceship Discussion Thread

Postby Scorbie » January 6th, 2018, 6:05 pm

Belated congrats to A for Awesome! The 2-engine cordership is supersuper nice :)
Best wishes to you, Scorbie
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Re: Spaceship Discussion Thread

Postby dbell » January 6th, 2018, 10:28 pm

Here are a few Cordership results.

#C A period 96 c/12 forward Cordership rake built using an old three-engine
#C block puffer, the new two-engine Cordership, and the new four-engine rake.
#C The Cordership converts the blocks into the usual honeyfarm reaction
#C used to turn the gliders.
#C David I. Bell, 7 January 2018
x = 157, y = 133
3o$o$bo11$128bo6boo$127bobo3bo3bo$126bo3bobo3boo$16b3o108bobobboboboo$
16bo111bo3bobboo$17bo114bo4bo$133bobbo10boo$135bo11boo6$125bo$108b3o8b
o5bo29boo$107bo3bo6bo7bo28boo$108boo9b4obboo$110booboo9b3o$112boo11bob
o$32b3o91bo23b3o$32bo93bo22boobbo$33bo118boo$93bo54bob3o$92b3o51bobboo
$91booboo48bo$90boobobo46b3obbo$89b3obb3o45boobbo$90bo6bo35bo8booboo$
91b5obo33boobo9boo$92b4oboo30bo9boo3bo$97bo31bo6bobboo$96bo12boo3boo
20bo$109boo3boo13boobbobbo$128bo3b4o$129b3obo$48b3o43bo34b3o$48bo43boo
bo$49bo$95bo$92bobbo21boo3boo$93bo23boo3boo$$79b3o16boo$91b3o5boo$83bo
14boo$79bo3boo13bo$81bobo$37boo39b3o27bo$40boo4bo33bo$37boob4o3bo64boo
16bo$34b5o4b4o32boo28bo18boo$37b3o6bo17b3o13boo26bo20boo$38bo25bo15bo$
37b3o25bo14boo27bo$44bo12boo20boo$44bo12boo49bo3$104bo$105bo$30bo73bo$
29bobo$29bobo33boo$29bobbo32boo32boo3bo$30bobo51boo12b3o3bo$33bo6bo43b
oo11bo3boobo$32boo6bo56bobboo$32bo7bo3bo35b3o14b4o$6b3o34bobo34bo17boo
$6b3o35bo36bo16boo$73boo22bobbo$6boboo63boo25bo$6bo3bo81boo3b3o$8b3o
81boo$23boo$23boo4bo28bo$28b3o26b3o$27bobobo24bobobo$7bo19bo3bo23b3ob
3o12bo6boo$6bobo17booboo42bobo5boo$7bo19b3o27bob3o13boo$6boo49b5o9bo3b
o38bo$6boo49boobboo11bobboo33boo$7bo51boboo14bo18b3o14boo$5boboo52boo
9bobboo19bo$6boboobo12boo31bobobbo11bo7boo13bo$6bo4bo12b3o29bobobbo20b
oo5boo$9bobo15bo29bo31boo$26boo$24b3o$23boo$21boo49boo$22bo$43booboo
24boo$11boo5b4o21boo45bo6boo$11boo4bo25boobobo24bobo9bo3bobo5boo$17bo
bboo24bobo25bo10b5oboo10bo$18b3o26boo25booboo7bo4bo10bobo$19bo56boo9b
oobo11bobo$77boo10bo13bo$76bobo3bo$74b4o4bo15boo$19boo53boobbo18bobbo$
19boo54boobo19boo$70boo4b3o$69bobbo$69bobboo$69boboo$66bobbobo$66boo$
49boo14bo$49boo9boobboo$60boobbo$61boboo$62boo4$57boo$57boo!

One new reaction which produces a close block and boat is interesting because it has an interesting edge which is able to turn a glider to make a different type of forward rake. It's just unfortunate that the clean up of the unwanted debris is so clumsy.

#C A period 96 c/12 forward Cordership rake built using a new Cordership
#C boat and block puffer, two copies of the new two-engine Corderships as
#C clean up, and a sideways rake.  Unlike most previous forward Cordership
#C rakes, the gliders are turned by two-bit sparks near the front edge.
#C David I. Bell, 7 January 2018
x = 222, y = 161
12boo$12bobo$12bo14$28boo$28bobo$28bo14$44boo$44bobo$44bo11$110bo$109b
obo$108booboo$60boo47bobbo$60bobo48b3o$60bo50bobo$39bo72boo$38boboo70b
oo12boo$42bo83boo$36bo3bobbo$34bo9bo11b3o$34bo4boobboo47bo17bo$43boo
66bo$36bo5bo45bo7bo14boo$37bo4b3o43bo8bobb3o7b3o$38bo4boo12b3o5boo20bo
4boo3bobb3o31boo$40b4o12booboo4boo21bobo6bobboobbo29boo$27b3o25boboboo
27boboo10bobo6b3o$27bobbo24bo3bo42b3o4bo4bo$30bo25bobbo16boo15bo15boo
3bo14boo33boo$27boo15boo10b3o17bobo32b4o14boo$26bobo15boo30bo53boo31bo
3bo$27bobb3o92bob4o37bo$28boobbo91bobboo32bo7bo$28bo3bo127bo4bo$29bobo
10bobo116bobobo4bo$31bo12bo76bo3bo35bo8bo$28bobbo16bo72bobbo37bo4boobo
$28bo13b3o75bo3bo10b3o25boboob3o$43boo75booboo39b3oboo$27boobbo11boo
51bo23boobbo56boo$28b3o13boo49bobbo22b3o57boo$45bo57bobboo14bo$99bo4b
oobo$43bo49bo5bo8bo$42bobo49bo11boo$42bo47b3o5bo11bobo$41bo3boo45bo3b
oo51bo$42bobboo44bo18bobo32boobobo7bo30boo$42bo102bobbooboobbooboo29b
oo$14boo3b4o9boo82boo27bo5bobo5bo$9b3obobbo6bo8boo7boobboo69boo28boobb
o8bo$13bobbobb5o17b6o103bobb3obbo24boo$13bobbo27bo105b3o29b3o$15bo166b
obbo$12bobo17boo99bo48boobo$13bo18boo98bobo48boo$132boo$40boo82boo$40b
oo82boo48b3o$bb3o169bobo$bobbo168boobobboo$o4bo52b3o105bo7bobbobboo$o
bb3o34boo18bo80bo11bobbo9boo6bo3boboo$o5bo22bobo8boo17bo80bobo13b5oboo
3bo6bo5boo$b7o20bo3bo107boo6boo3boob6oboobo5bo7bo$7bo10b3o7bo4bo98boo
14boo9bobo4bo27bo$7bo5boo3b4o6bo4bo98boo28b3oboo3bo3bo3bo15boboobobo$
5boo5boo3bo4bo6bo3bo129bobbo3boo17b3o3b4o3bo$17booboo7bobbo122bo8b4ob
oo24bobbooboo$17b4o145boo3bo22bo$18bo130bo18b3o21b3o$4bo143bobo17boo
22b3o17boo$3bobo142boo6boo54boo$bboobo134boo14boo$bboo136boo$3b3o$4bo
168b3o$5bobbo163bo$bbo6bo147bo13bo4boo$bbo6bo146bobo11bo3bo15b3o27boo$
bbo4b3o146boo12bobbo4bo4boo35boo$148boo20bo3bo3bo4b3obo$148boo21boobob
3o$166boo6bo39bo$165bo9b4o34b3obobo$166boo9boo11boboo17boo5boboo$164b
3o23bobbo26bo$7boo154bobbo23b3o18bo5b3o$7boo154b3o49bo$156boo6bo48boo$
18bo137boo55bo$18boo187bo4bo$19bo149boo36bo4bo$20bo148boo$18bobbo$21bo
147boo$21bo147boo8boo$164boo13boo$164boo$$177boo$177boo$$177boo$177boo
8boo$172boo13boo$172boo$$185boo$185boo$$185boo$185boo$180boo$180boo3$
192boo$187booboobbo$186bobboboboo$186bo$186bo$187bo4bo$188bo3bo$189b3o
!

I combined the new boat puffer with the new Cordership to make a blocked glider stream Cordership. The hope was that this would make a small honey farm producing Cordership, but that didn't happen.

#C A period 96 c/12 Cordership made from a two-engine boat puffer and
#C the new two-engine Cordership, which contains a glider which can
#C escape if the boat is deleted by a sideways or forward glider.
#C David I. Bell, 7 January 2018
x = 86, y = 75
67bo$51booboo6boboobboo$51boo8bob5o$51boobobo5bo4boo$54bobo11bobo$55b
oo$68b3o6boo$77boo$$40bo$39b3o$38bobobo$37b3ob3o12bo$55bobo$39bob3o13b
oo$39b5o9bo3bo$39boobboo11bobboo$41boboo14bo$43boo9bobboo22b4o$39bobo
bbo11bo24boobo$38bobobbo36bobobbo$39bo40b3oboo$80b3oboo$84bo$$54boo$
21boo3b4o$16b3obobbo6bo23boo$20bobbobb5o$20bobbo31bobo$22bo33bo$19bobo
17boo3boo10bo$20bo18boo3boo7$47boo3boo$36bobo8boo3boo$35bo3bo$25b3o7bo
4bo$3bo21b4o6bo4bo$4o14bo5bo4bo6bo3bo$17boboo3booboo7bobbo$17boboo3b4o
$18bo6bo$3bobo$4bo13boo$bboo13bobbo$bbobbo11bo$booboo10b3o10b3o$16boo
11bobo$19boo8b4o$18bobbo7b3obo19bo$31boobo17bo$16boo5boo6bobboo16b3o$
16bobbo3boo7boboo$17b3o13bobo$32boob3o$32boobo$32bo$6boo15bo$6boo15boo
$24boo$24bo$19b3obo$19b3o$45boo$44bobo$14boo29bo$14boo11bo$27bo$27bo!

This provides a way to do glider reflections with lots of different phases. It is also another glider duplicator mechanism if a forward glider arrives to be turned by the boat before it is deleted.

Finally, I want to clarify what I said before about the search script. It could be changed to use an already mostly stabilized component, and just one additional switch engine. For examples, one of the 'wings' of the three-engine Cordership, or the two-engine Cordership with a block removed. That might produce a nice three-engine result without too much work.

Here is an example placement of a wing with a switch engine to illustrate (which obviously blows up).

x = 48, y = 53
39bo$39bo7bo$39bo5b3o$38boo3bobo$44bobbo$43bobboo11$27bo$24b4o4$27bobo
$28bo$oobbo21boo$3bobo20bobbo$bbo16bo5booboo$19bo$4boo13bo$$5boo12boo$
4bo13bobbo$bbooboo11bobo$5boo10boo$3bo13bo$20boo$20boo$20boo$17boobo$
18b3o$19bo4$7boo$7boo7$15boo$15boo!

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Re: Spaceship Discussion Thread

Postby dbell » January 7th, 2018, 8:39 am

I thought it might be nice to have a glider synthesis of my four-engine Cordership rake. A gun for that would make another breeder.

So I just took Dave Greene's glider recipe for the two-engine Cordership and duplicated it.

#C Synthesis?? of four-engine Cordership rake.
x = 142, y = 137
50bobo$51boo$51bo17$44bo$45boo$44boo15$53b3o$55bo$54bo$85boo$85bobo$
20bo64bo$21boo24boo$20boo24bobo$40bo7bo$40bobo$40boo23b3o$65bo$obo63bo
$boo$bo32bo$33bo$33b3o8$43b3o$43bo$44bo17$37boo$37bobo$37bo$$140boo$
139boo$141bo4$98bo$97boo$88bo8bobo$87boo$87bobo$109b3o$109bo$110bo8$
91b3o$91bo22bo$92bo20boo$104bo8bobo$103boo$103bobo$125b3o$125bo$126bo
8$107b3o$107bo$108bo12$81boo$80boo$82bo!

Hurray, except that several gliders have to cross paths.

The outside is clear. If the synthesis could be flipped over (i.e., 48 generations different), then hopefully the crossing problem might be avoided since the switch engine creating gliders could come from the outside.

I am no good at synthesis, so I can't figure it out myself. Help, please.

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Re: Spaceship Discussion Thread

Postby 2718281828 » January 7th, 2018, 10:37 am

dbell wrote:The outside is clear. If the synthesis could be flipped over (i.e., 48 generations different), then hopefully the crossing problem might be avoided since the switch engine creating gliders could come from the outside.

I am no good at synthesis, so I can't figure it out myself. Help, please.


Likely not optimal but it works:
x = 146, y = 141, rule = 23/3
50bobo$51b2o$51bo17$44bo$45b2o$44b2o10$63bo$62bo$62b3o5$59bo$58b2o$58b
obo$20bo32bo$21b2o30bobo$20b2o31b2o34b2o$89bobo$42bo6b2o38bo$43b2o3b2o
$42b2o6bo$obo$b2o35b2o$bo35bobo29b3o$39bo29bo$32bobo35bo$33b2o$33bo5$
28b3o$30bo$29bo3$47b3o$47bo$48bo17$41b2o$41bobo$41bo2$144b2o$143b2o$
145bo4$102bo$101b2o$92bo8bobo$91b2o$91bobo$113b3o$113bo$114bo8$95b3o$
95bo22bo$96bo20b2o$108bo8bobo$107b2o$107bobo$129b3o$129bo$130bo8$111b
3o$111bo$112bo12$85b2o$84b2o$86bo!
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2718281828
 
Posts: 373
Joined: August 8th, 2017, 5:38 pm

Re: Spaceship Discussion Thread

Postby dvgrn » January 7th, 2018, 11:31 am

2718281828 wrote:Likely not optimal but it works...

Nice! There's one big sub-optimality problem with this recipe, though. The four gliders coming in from the northwest are going to slow down the repeat time tremendously, if the recipe is used in a gun as dbell suggested. The period doesn't really matter if we just want a breeder, but it's a little extra awkward to have to drop those gliders into the middle of the Corderrake's wide output channel.

Below is another approach to cut down on that interference problem and minimize the repeat time. A few of the rake's first output gliders will still have to be suppressed so they don't interfere with the gun machinery, but that should be relatively minor. In fact, it looks like we're in luck and simple fishhook eaters will fit in between the incoming gliders from the southwest.

dbell wrote:I thought it might be nice to have a glider synthesis of my four-engine Cordership rake. A gun for that would make another breeder.
...
The outside is clear. If the synthesis could be flipped over (i.e., 48 generations different), then hopefully the crossing problem might be avoided since the switch engine creating gliders could come from the outside.

I am no good at synthesis, so I can't figure it out myself. Help, please.

Cordership synthesis is the only kind of synthesis I'm any good at, so here's a walkthrough to get close to a workable recipe, anyway -- some optimization left as an exercise for the reader.

0) Don't use my awful hurry-up-and-post-something synthesis, AbhpzTa's is much nicer.

1) Start with an appropriate switch-engine synthesis. If you want to build a gun, a two-sided synthesis might be best, so we could use this:

x = 159, y = 86, rule = LifeHistory
78.3D$79.D$79.D2.D$79.D2.D$80.D.D63$3A$2.A$.A2$149.2A$148.2A$150.A6$
2.2A$.A.A$3.A2$156.3A$156.A$157.A!

2) Run the four-engine rake pattern in LifeHistory until the above switch engine shape appears, in the correct orientation so that the gliders can come from behind or outside, then paste in the above pattern to overlap the switch engine.

These four patterns show the stages -- not intended to be run. We'll mercilessly delete all the trailing junk later so the gliders can get through:

x = 159, y = 113, rule = LifeHistory
113.A$112.A.A2$112.A2.A3.A.3A$114.A4.A$115.A.2A.A.A$116.2A3.A$117.A
15.2A$133.2A6$98.5A7.A$96.2A5.2A4.A.A29.2A$96.A7.A4.A31.2A$96.2A7.A3.
A2.A$98.2A6.A3.3A$101.A33.A$101.A4.A26.5A$102.2A.A27.2A.3A$133.2A2.A$
134.3A$135.A$127.A$128.2A$78.3D44.2A3.A.A$79.D45.2A4.2A$79.D2.D35.2A
9.5A$79.D2.D32.2A3.A4.A.A$80.D.D23.A.2A4.A5.A4.A7.A$95.2A3.2A4.3A10.A
$95.2A3.2A6.A$113.3A.7A$114.A.2A5.A$79.A40.2A$78.A.A40.2A$79.A41.3A$
121.A$103.2A3.2A$77.4A22.2A3.2A$77.2A3.A$78.A4.A$80.A.2A$65.A.A13.A
14.A$64.A2.A27.A$65.A.A27.2A$95.2A.2A$94.A3.A$67.A25.3A2.A$66.A.2A22.
2A3.A$66.A.2A25.2A$65.A3.A24.3A$66.4A30.2A$66.3A$93.A$94.A$93.2A$90.
2A$90.A$90.2A$91.2A$89.A$88.3A$70.2A15.3A$70.2A15.A.A$87.A.2A$84.6A$
83.A4.A$83.A2.A$84.2A2$78.2A$78.2A20$3A$2.A$.A2$149.2A$148.2A$150.A6$
2.2A$.A.A$3.A2$156.3A$156.A$157.A!
#C [[ VIEWONLY ]]

x = 181, y = 176, rule = LifeHistory
162.A$162.A.A10.A$162.2A10.A$174.3A60$113.B$112.2BA$113.ABA5.AB$112.B
.2B3.2AB2A$113.3A2BA2B.2A$114.2B.2B2AB2A$116.3B4A$116.2B15.2A$133.2A
4$100.B$99.3B$96.9B4.2A$95.D9BA3B3A29.2A$94.B4D.2B.BABA2BA2B29.2A$95.
D3BDB4.A3BA2BAB$96.4B6.B2.4BA$97.3D2B8.ABAB21.B$101.B4.B4.2A20.4B2A$
102.2B.B26.3B.A2BA$133.2B.A2BA$133.3BABA$133.4AB$127.3B2.2A2B2A$125.
6B6A$78.3D44.2B3A2BA2.A$79.D44.3BAB2A2B$79.D2.D35.BA4.2B.3BA3B$79.D2.
D32.2B.2AB3.ABAB.5B$80.D.D23.4B4.2B.2A2BA3.2A4.B.B$95.2A3.2A4.4B4.3A.
AB2AB$95.2A3.2A6.B4.AB2A3B2A2B$113.3B.2BA5B$113.3B3AB2.2B$79.BA35.A3.
5B$78.2BAB38.2BAB$79.ABA38.2BAB$78.2BAB39.B$78.2B2A21.2A3.2A$77.3B3A
20.2A3.2A$77.6B$66.A10.BA4B2A$65.3A10.A5BA$64.ABABA9.A5BA11.BA$63.3A.
3A11.2BA11.4BA$64.5B24.BA5BA$65.AB3A23.2A2B.3B$65.5A21.3AB3A3B$65.2A
2B2A20.2BA3BAB2A$65.2BAB2A20.2A2B.3B$65.4B2A21.4B2A$64.BABA2BAB22.2A
2B$64.ABA2BAB23.A2B3.2B$65.A4B25.BA$66.2B25.2A$93.2BA$93.2A$90.2B$89.
B2A$88.ABA2B$87.A2B.3B$88.AB.A2B$87.2B2ABA$70.2A15.3BA$70.2A12.3AB.B$
83.BA2BA.2B$83.A4BA2B$82.3A5B$82.2A.2B$83.2ABA$84.3A$78.2A$78.2A11$
167.A$166.2A$166.A.A5$2.2A$.ABA174.2A$3BA174.A.A$3B175.A$.B146.A$147.
2AB$147.ABAB$148.3B$149.2B5$3.3A$2.3BA$.3BA$2.2B151.2A$155.ABA$155.A
3B$156.3B$157.B!
#C [[ VIEWONLY ]]

x = 194, y = 189, rule = LifeHistory
175.2B$174.4B10.B$173.4B10.3B$172.4B10.4B$171.4B10.4B$170.A3B10.4B$
170.ABA10.A3B$170.2A10.A3B$182.3A55$126.2B$124.5A2B3.2BA$122.2A5B2A4B
ABA$122.A7BA4BA2B$122.2A7BA3BA2BA$124.2A6BA3B3A$126.BA9B$126.BA4BA3B
10.2A$127.B2A.A3B11.2A4$113.B$112.3B$109.9B4.4B$108.D15B3A27.2B$107.B
4D.2B.11B26.3B$108.D3BDB3.8B2A25.BA2B$109.4B5.7B2AB20.B2.3B2A$110.3D
2B6.3BA2BA18.3B2A2B3A$114.B4.B3.BA4B17.2B3A2BA2B$115.2B.B4.3A3B16.4BA
6B$122.B2A4B16.4BA2B4A$122.4B2A17.5BABA3B$123.2BA2BA14.12B$123.5B12.
11B$123.2A3B10.13B$91.3D29.A2BA11.12B$92.D31.3A3.3B4.10B$92.D2.D34.4B
3.2B.7B$92.D2.D32.6B2.5B.5B$93.D.D23.4B4.13B4.B.B$108.2A3.2A4.4B4.12B
$108.2A3.2A6.B4.12B$126.3B.8B$126.7B2.2B$92.2B33.5B.5B$91.4B33.4B.4B$
91.4B38.4B$79.B11.4B39.B$78.3D10.5B20.2A3.2A$77.2BD2B8.3BA2B2.2B2.2B
12.2A3.2A$77.2BD2BD7.2B4A6B2A2B$77.2BD2BD7.BA4BA4B3AB2A$76.4BDBD7.2A
10B2AB3A$75.9B7.ABAB2A4B3AB2A2.2B$76.9B7.3A6B2A.2B2.5B$77.8B8.A2.3B.B
5.8B$77.8B21.4B.3B$77.2BA4B20.10B$78.ABA4B19.10B$78.BA5B19.8B$78.7B
20.6B$77.8B22.4B$77.4A3B23.3B3.2B$77.2A3BA23.4B$78.A4BA22.4B$80.AB2A
22.3B$80.BAB23.2B$103.2B$102.3B$101.5B$100.3B.3B$100.7B$97.9B$83.2A
10.10B$83.2A10.9B$94.10B$95.2B2A5B$95.BABA4B$94.2BABA2B$93.2BA5B$92.
4B4AB$91.6B3AB$91.9B6$175.A$174.2AB$174.ABAB$175.4B$176.4B$177.4B$
178.4B$20.2A157.3B$19.ABA164.2A$18.3BA164.ABA$17.4B165.A3B$16.4B136.A
30.4B$15.4B136.2AB30.4B$14.4B137.ABAB30.4B$13.4B139.4B30.4B$13.3B141.
4B30.2B$14.B143.4B$159.4B$160.4B$161.3B$21.3A138.2B$20.3BA$19.3BA$18.
4B141.2A$17.4B142.ABA$16.4B143.A3B$15.4B145.4B$3A11.4B147.4B$2.A12.2B
149.4B$.A165.4B$168.4B$149.2A18.3B$148.2A20.B$150.A6$2.2A$.A.A$3.A2$
156.3A$156.A$157.A!
#C [[ VIEWONLY ]]

x = 207, y = 202, rule = LifeHistory
188.A$188.A.A10.A$188.2A10.A$200.3A10$175.2B$174.4B10.B$173.4B10.3B$
172.4B10.4B$171.4B10.4B$170.4B10.4B$169.A3B10.4B$168.A3B10.4B$168.3A
10.A3B$181.ABA$181.2A52$126.B$125.3B$122.9B3.B2A$121.D9BA3B3A$120.B4D
5BABA2BA2B$121.D3BD5BA3BA2BAB$122.17BA$123.3D10BABAB$126.10B.2A7.2A$
127.3B.4B11.2A4$113.B$112.3B$109.9B4.3BA$108.D15B3A27.2B$107.B4D.2B.
7BA3BA25.3B$108.D3BDB3.5B2A2B3A23.4B$109.4B5.5BA3BA20.B2.5B$110.3D2B
6.2BA2BAB18.6BA3B$114.B4.B3.BABA2B17.4B2ABA2B$115.2B.B4.6B16.4BA3B2AB
$122.7B16.4B3AB2AB$122.6B17.8B2AB$123.6B14.12B$123.BAB2A12.11B$122.B
5A10.13B$91.3D28.B4A11.12B$92.D30.5B2.3B4.10B$92.D2.D27.B3AB2.4B3.2B.
7B$92.D2.D28.3A.6B2.5B.5B$93.D.D23.4B2.A.13B4.B.B$108.2A3.2A4.4B4.12B
$108.2A3.2A6.B4.12B$126.3B.8B$126.7B2.2B$92.2B33.5B.5B$91.4B33.4B.4B$
91.4B38.4B$79.B11.4B39.B$78.3D10.5B20.2A3.2A$77.2BD2B8.6B2.2B2.2B12.
2A3.2A$77.2BD2BD7.14B4A$77.2BD2BD7.18BA$76.4BDBD6.BAB2AB2A7BA4BA$75.
9B5.5A2B2A7B2ABA2B$76.9B4.A2B3ABA9B.A5B$77.8B6.4BA3B.B5.8B$77.8B7.3B
11.4B.3B$77.3BA3B20.10B$78.2BA4B19.10B$78.BABA3B19.8B$78.2BA4B20.6B$
77.3B2A3B22.4B$77.3B3AB23.3B3.2B$77.6B23.4B$77.BA4B2A21.4B$78.A5BA21.
3B$78.A5BA21.2B$81.2BA19.2B$102.3B$101.5B$100.3B.3B$100.7B$97.9B$83.
2A10.10B$83.2A10.9B$94.10B$95.A8B$94.A8B$93.2A7B$93.2A6B$92.2B2A6B91.
A$91.5B2A3B91.2A$91.7BAB92.A.A5$173.2A$172.2A2B28.2A$173.BA2B27.A.A$
174.4B26.A$175.4B$176.4B$177.4B$21.3A154.4B$20.3BA155.3B2.3A$19.3BA
161.A3B$18.4B163.A3B$17.4B133.2A30.4B$16.4B133.2A2B30.4B$15.4B135.BA
2B30.4B$14.4B137.4B30.4B$13.4B139.4B30.4B$13.3B141.4B30.2B$14.B143.4B
$159.4B$23.2A135.4B$22.ABA136.3B$21.3BA137.2B$20.4B$19.4B138.3A$18.4B
139.A3B$17.4B141.A3B$2.2A12.4B143.4B$.ABA11.4B145.4B$3BA10.4B147.4B$
3B12.2B149.4B$.B146.A18.4B$147.2AB18.4B$147.ABAB18.3B$148.3B19.B$149.
2B5$3.3A$2.3BA$.3BA$2.2B151.2A$155.ABA$155.A3B$156.3B$157.B!
#C [[ VIEWONLY ]]

So that gives us this 4-engine recipe, which doesn't work but it clearly has promise:

x = 207, y = 202, rule = LifeHistory
188.A$188.A.A10.A$188.2A10.A$200.3A16$169.A$168.A$168.3A10.A$181.A.A$
181.2A55$121.D$121.4D$121.D3.D2$123.3D9$108.D$108.4D$108.D3.D2$110.3D
8$91.3D$92.D$92.D2.D$92.D2.D$93.D.D9$78.3D$79.D$79.D2.D$79.D2.D$80.D.
D28$193.A$192.2A$192.A.A5$173.2A$172.2A30.2A$174.A29.A.A$204.A4$21.3A
$23.A160.3A$22.A161.A$185.A$154.2A$153.2A$155.A6$23.2A$22.A.A$24.A2$
161.3A$161.A$162.A$2.2A$.A.A$3.A2$148.A$147.2A$147.A.A7$3.3A$5.A$4.A$
155.2A$155.A.A$155.A!

Now take AbhpzTa's and Entity Valkyrie's cleanup recipes and combine them to make this:

x = 42, y = 38, rule = LifeHistory
17.A7.A$16.3A5.A.A$15.2A.4A2.A2.A$16.3A2.A$17.A2.2A2.A$21.2A.A.A$25.A
2$39.2A$38.A.A$39.A4$6.3A$7.A$7.A2.A$7.A2.A$8.A.A16$.2A$A.A36.2A$2.A
36.A.A$39.A!

Put the two cleanup gliders and the boat in the right positions relative to the other recipe gliders. The boat is easy -- just run the recipe until you recognize the phase shown in the cleanup pattern, paste the cleanup in over the top, note where the boat is, rewind, and draw it in.

The two gliders take a little more fiddling -- I often use trailing "reference gliders" safely far behind the recipe gliders, so after pasting the cleanup in, I can just copy the reference gliders plus the pasted-in gliders, rewind to T=0, and place the cleanup gliders in the same relative positions:

x = 71, y = 67, rule = LifeHistory
68.A$67.A$67.3A4$47.A$47.4A$47.A3.A2$49.3A5$35.A$34.3A$33.2A.2A$34.3A
$35.A$35.A.A$35.4A$38.A2$34.2A.2A$33.A5.A$34.A3.A$35.A3$16.A$17.A.2A.
A.A$11.3A3.4A3.A$17.A2.2A.2A$16.A$14.3A$14.3A2$37.2A3.A$36.A.A2.A.A
24.3A$37.A3.2A25.A$69.A$4.3A$3.A3.A$2.A3.2A$3.A$4.4A$6.A.2A$6.A2.A$7.
2A14$3A$2.A32.3A$.A33.A$36.A!

Okay, so the boat-keeper trick obviously isn't going to work -- the boats are too close together, and anyway that's the reaction that we need to encourage to take the shape of the rake's glider-making reaction. So take the boats out, run to the critical stage, and compare what we have to what the working rake looks like. Recipe results on the left, working rake on the right:

x = 168, y = 75, rule = LifeHistory
144.2B$144.3B$45.A89.AB6.5B$44.A.A87.ABAB3.B.6B$44.A2.2A85.A2B2A.10B$
42.7A14.A68.7A14BA$41.A2.A3.A14.A67.A2BA3BA14BAB$40.3A2.7A11.A66.3A2B
7A11BAB$42.3A2.A8.A74.B3A2BA8BA8B10.B$43.2A.2A8.A76.2AB2A8BA9B8.3B$
44.3A.A2.A82.3ABA2BA14B7.4B$45.3A.2A13.2A5.2E62.3AB2A13B2A6.4B$48.A
13.2A.A5.2E65.A2B.10B2ABA5.4B$34.A26.A3.A58.A6.2B7.11BA3BA4.4B$32.2A.
2A24.A2.2A56.2AB2A4.3B4.13BA2B2A3.4B$35.2A25.3A57.3B2A3.5B3.12B2.3A3.
4B$32.3A15.2A11.A57.B3A4B.6B3.B2A9B2.A3.4B$34.A3.A10.A2.A68.3BA3BA8B
2.A2BA8B5.4B$33.A3.A81.4BA3BA23B4.4B$34.3A.A78.7B3ABA22B3.4B$36.2A79.
9B2A23B2.4B$35.A.A10.2A68.7BABA10B2A16B$36.A11.3A2.2A64.7BA11B3A2B2A
10B$35.2A12.A70.5B2A12BA9B2C3B$34.3A11.2A5.A65.3B3A11B2A5BA3B2C$34.A.
2A11.A4.A51.2B14.2BAB2A11BA4BA2.2B$33.5A11.A56.3B13.B5A2.9BA4B$50.A.A
52.5B13.4B3.10BABA$51.A51.B.6B14.B4.7B.3BA2B$102.10B19.12B$22.A76.13B
AB17.12B$8.2A7.2A2.A.A24.3A47.2A7B2A2BABAB16.7B3A2B$8.3A6.4A3.A23.3A
47.3A6B4A3BA15.7B.3A2B7.3B$8.2A.A.A7.A29.2A45.2ABABA7BA4B14.11B2AB.3B
2.4B$11.2A10.A.2A20.3A2.A46.2B2A10BAB2A13.7B3A2BA12B$23.A.A77.10BABA
13.22B.4B$24.A8.2A3.2A12.A50.10B.A8.2A3.2A12BA9B.4B$33.2A3.2A7.2A3.A
51.9B9.B2AB2.2A7B2A3BA9B2.4B$48.A2.A41.2B7.14B3.8B2.9BA2BA9B4.4B$49.A
.A41.3B4.27B3.9BABA.7B6.4B$92.5B3.28B4.6B7.2B10.4B$92.6B3.27B8.B21.4B
$A89.A8B3.26B31.4B$A32.2A54.BA8B4.20B2A3B32.4B$2.A5.A22.3A.2A4.2E3.2E
41.3BA5BAB4.14B2.B3AB2A2B32.4B$.A6.A.A20.A.A.2A4.2E3.2E41.2BA6BABA4.
10B.5BABAB2AB34.4B$A3.A2.A21.2A.A57.A3BA2BA5B2.14B2ABA4B36.4B$.A2.A.A
.2A12.2A3.A63.A2BABAB2A.11B2A3BA9B37.4B$6.A.2A3.2A5.A3.A.A64.5BAB2A3B
2A5BA3BABA10B38.3B$13.2A6.2A.A.3A61.9B.3B2A6B2ABAB3A8B39.B$21.A3.4A
62.20BA3B4A7B$89.14B.10B.B4.7B$87.26B8.6B$87.25B8.8B$88.24B8.8B$89.
24B7.7B$90.23B8.6B$91.19B2C9.6B$92.10B.7B2C7.7B$9.2A3.A77.7B2A3BA3.3B
8.3B.2B$7.3A4.2A76.5B3A4B2A2.3B8.4B$2.3A.A8.2A75.3ABA8B2A4B9.4B$6.A.A
2.5A77.3BABA2B5A4B11.4B$7.A3.3A82.BA3B3A5B13.4B$98.3B3.4B15.4B$103.4B
17.4B$102.4B19.4B$101.4B21.4B$100.4B23.4B$8.2E89.4B25.4B$8.2E88.4B27.
4B$97.4B29.4B$97.3B31.4B$98.B33.3B$133.B!

It seems that AbhpzTa's cleanup (the temporary white blocks above) doesn't quite work in the context of a rake. It's a good start, but the interaction that produces the rake output also interferes with the sparks that do the cleanup, making them into non-sparks:

x = 159, y = 85, rule = LifeHistory
127.2B$127.3B$126.5B$126.6B$124.2A7B$123.4B2A4BA$122.2B2AB4A3BA$121.
5A4B4A2B$122.2B3A6BA3B$124.BA12B$124.3A12B$124.7BA8B4.2A$125.6BA9B2.B
2AB$114.2B7.25B$114.3B4.27B$113.5B3.28B$111.B.6B3.27B7.B$105.3A2.10B
3.26B6.3B$104.A3BA40B5.4B$103.A4BA8B2A3B3A25B3.4B$103.A2BABA7B4A5B.
23B3.4B$103.2ABABA6BA3B2A4B.22B3.4B$105.2ABA2BA4B2ABABA4B.20B3.4B$
107.2A2BA14B2.13B.6B.4B$108.3A13BA2B3.17B.4B$89.2A21.9BA2BA3B2.21B$
19.2A68.3B18.12B3A13BC11B$19.3B66.A3BA15.30BC10B$18.A3BA65.5BA14.30BC
9B$18.5BA62.A7BA14.38B$16.A7BA60.A4BA4B15.24B3C3B3C4B$15.A4BA4B60.BAB
ABA4BA15.36B$15.BABABA4BA60.A8BA16.14B3C9BC7B$16.A8BA61.A4B2ABA.2B14.
10BC12B.BCB.3B$17.A4B2ABA.2B59.AB2AB3A.3B13.10BCB2CBC6B3.C$18.AB2AB3A
.3B57.2B3AB2A6B11.10BCB3CBC6B$17.2B3AB2A6B55.9B.6B4.2A3.2A10B5C12B$
16.9B.6B4.2A49.16B2.B2AB2.2A9BC2BC15B$17.16B2.B2AB46.25B2.11B3C15B$
15.25B43.27B3.28B$13.27B43.28B4.29B$13.28B43.27B8.B.18B2.4B$14.27B44.
26B10.25B$15.26B45.25B9.22B.4B$16.25B46.25B2.2A3.2A22B.4B$17.25B2.2A
42.23B2.B2AB2.2A22B2.4B$18.23B2.B2AB30.A6.2B2.8B2A20B2.22B4.4B$7.A6.
2B2.8B2A20B.3B24.BAB5.3B.BA5BA2B2A18B3.12B.7B6.4B$6.BAB5.3B.BA5BA2B2A
23B22.BABA4.6BA4B3A2BA10BC9B3.9B4.2B10.4B$5.BABA4.6BA4B3A2BA23B21.3B
2A2BA.6BA4BA4BA8BCBC10B2.11B15.4B$4.3B2A2BA.6BA4BA4BA24B20.2BA5BA7B2.
2B5A9B3C10B3.10B16.4B$4.2BA5BA7B2.2B5A25B18.4BA5BA9B2.B2A6B2C19B2.8B
17.4B$2.4BA5BA9B2.B2A28B15.6BA4BA11B2.8B2C20B.8B18.4B$6BA4BA11B2.31B
14.10BA13B2.7B2C20B.8B19.4B$10BA13B2.18BA11B15.6B3A14B2.36B22.4B$.6B
3A14B2.16BA2BA9B2A15.53BA3B.2B23.4B$2.44BA6B.ABAB15.51BA3B28.3B$3.35B
3A4BA9BA3B15.B2AB2A38B.5B3A30.B$4.B2AB2A29BA5BA14B15.5BA36B2.5B$5.5BA
20BABA6BA3BA15B15.2A17B.5BC17B$5.2A23BA2BA6BA3BA14B18.3A20BC3B2.12B$
7.3A20B2ABA8B2A14B20.22BC2B3.13B$8.46B25.25B2.13B$9.23BA19B28.16B3C3B
3C.12B$10.16B3A2BA3B.12B2.B30.23B2.5B.6B$11.20B2AB2.12B34.18BC2B4.4B.
6B$12.20BA4.4B.6B35.10B.6BC3B6.7B$13.10B.6BA3B6.7B36.17BC3B6.3B.2B$
13.17BA3B6.3B.2B36.22B6.4B$12.22B6.4B37.2A20B8.4B$11.2A20B8.4B36.2A
20B9.4B$11.2A20B9.4B36.20B11.4B$12.20B11.4B36.9B.B.4B15.4B$13.9B.B.4B
15.4B37.6B3.4B17.4B$15.6B3.4B17.4B40.B3.4B19.4B$19.B3.4B19.4B42.4B21.
4B$22.4B21.4B40.4B23.4B$21.4B23.4B38.4B25.4B$20.4B25.4B36.4B27.4B$19.
4B27.4B34.4B29.4B$18.4B29.4B33.3B31.4B$17.4B31.4B33.B33.3B$16.4B33.4B
67.B$17.2B35.4B$55.2B!

Looking at the comparison two patterns up, without AbhpzTa's cleanup the only thing missing is the four yellow blocks. So probably at worst we could just build those blocks with two gliders each, or replace at least the outside ones with one glider each, and we'd be all set.

Or we could add another glider to AbhpzTa's cleanup to turn the awkward non-sparks back into sparks again:

x = 148, y = 144, rule = LifeHistory
132.A$131.A$131.3A6$98.A$98.A.A10.A$98.2A10.A$110.3A16$79.A$78.A$78.
3A10.A$91.A.A$91.2A19$89.A$88.A$88.3A8$103.A$102.2A$102.A.A5$83.2A$
82.2A30.2A$84.A29.A.A$114.A4$27.3A$29.A64.3A$28.A65.A$95.A$64.2A$63.
2A$65.A3$51.2A$50.A.A$52.A$29.2A52.2A$28.A.A52.A.A5.3A$30.A52.A7.A$
92.A$71.3A$71.A$72.A$8.2A$7.A.A$9.A2$58.A$57.2A$57.A.A4$132.3A$132.A$
133.A$9.3A$11.A$10.A$65.2A$65.A.A$65.A15$146.2C$3A142.2C$2.A96.3A45.C
$.A97.A$100.A11$123.2C$122.2C$124.C!

There's still a little cleanup to do, and probably a slightly cheaper method can be found -- I just went with the first spark suppression that worked reasonably well. But the basic recipe will work fairly well in a rake gun pattern.
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Re: Spaceship Discussion Thread

Postby calcyman » January 7th, 2018, 11:39 am

If you use the right-hand half-recipe (with blinker deletion) to make a G-to-2-engine-cordership, and place two of them together, then you obtain a hilariously overkill AND gate.
What do you do with ill crystallographers? Take them to the mono-clinic!
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Re: Spaceship Discussion Thread

Postby dvgrn » January 7th, 2018, 12:17 pm

Back in Slightly More Reasonable Land, Entity Valkyrie's trick with the boat-keeper reaction does save a glider for a single 2-engine Cordership gun -- there's no problem with AbhpzTa's cleanup in that case. So eight gliders are enough in the context of a gun (except for the problem of placing the two in the Cordership output channel).

That makes a nice easy-to-build ten-glider recipe with just two salvos:

x = 98, y = 59, rule = B3/S23
67b2o$66bobo$27b2o38bo$28b2o$27bo2$60b2o$60bobo$60bo6$29bo$29b2o$28bob
o2$68b2o$67b2o$69bo$8bo$8b2o$7bobo3$53b3o$53bo$54bo6$9b2o$10b2o$9bo$
62bo$61b2o$61bobo16$2o$b2o93b2o$o94b2o$97bo!

My crystal ball says there's a new and surprisingly small glider-to-Cordership converter in my future.

EDIT: Technically the boat isn't part of the cleanup -- the reaction really is a boat-keeper, that doesn't care whether the boat is there or not -- so an eater could be used instead to keep the boat from appearing in the first place:

x = 98, y = 60, rule = LifeHistory
71.2A$71.A$69.A.A$27.2A40.2A$28.2A$27.A2$60.2A$60.A.A$60.A6$29.A$29.
2A$28.A.A2$68.2A$67.2A$69.A$8.A$8.2A$7.A.A3$53.3A$53.A$54.A6$9.2A$10.
2A$9.A$62.A$61.2A$61.A.A16$2A$.2A93.2A$A94.2A$97.A!
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Re: Spaceship Discussion Thread

Postby chris_c » January 7th, 2018, 1:14 pm

18 gliders plus a catalytic boat for the rake (I presume 22 gliders if the 4 SE gliders are made using kickbacks):

x = 133, y = 144, rule = B3/S23
117bo$115b2o$116b2o4$16bo$17bo$15b3o$96bo$94b2o$95b2o15$10bo$8bobo$9b
2o$75bobo$75b2o$76bo40$27bo$25bobo$26b2o4$7bo$8bo$6b3o5$99bo$98b2o$29b
o23b2o43bobo$29b2o21bobo$28bobo22bo2$40b2o$39b2o38b2o$41bo36b2o$80bo
13$9b2o$10b2o$9bo$34bo$33b2o$33bobo8$117b2o$116b2o$118bo6$2o$b2o65b2o$
o66b2o$69bo$131b2o$130b2o$132bo8$117bo$116b2o$116bobo!


EDIT: I should make it clear that my only contribution to the above pattern is the final pair of gliders that clean up the second ship without interfering with the first.
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Re: Spaceship Discussion Thread

Postby dvgrn » January 7th, 2018, 1:53 pm

chris_c wrote:18 gliders plus a catalytic boat for the rake (I presume 22 gliders if the 4 SE gliders are made using kickbacks)...

Ah, nice -- I'm glad the Magic Boat could be used on one side, anyway, just not on both. You've got the two half-recipes completely separated now, so a plain 2-engine Cordership could be turned into a rake at any time:

x = 413, y = 432, rule = B3/S23
397bo$395b2o$396b2o4$8bo$9bo$7b3o$376bo$374b2o$375b2o15$2bo$obo$b2o$
355bobo$355b2o$356bo232$211bo$209bobo$210b2o4$191bo$192bo$190b3o7$213b
o23b2o$213b2o21bobo$212bobo22bo2$224b2o$223b2o$225bo14$193b2o$194b2o$
193bo$218bo$217b2o$217bobo16$184b2o$185b2o65b2o$184bo66b2o$253bo50$
379bo$378b2o$378bobo5$359b2o$358b2o$360bo26$397b2o$396b2o$398bo10$411b
2o$410b2o$412bo8$397bo$396b2o$396bobo!
#C [[ STEP 9 AUTOSTART ]]

dbell wrote:#C A period 96 c/12 forward Cordership rake built using an old three-engine
#C block puffer, the new two-engine Cordership, and the new four-engine rake.
#C The Cordership converts the blocks into the usual honeyfarm reaction
#C used to turn the gliders.

This got me thinking: what's the best way nowadays to hold a data loop in a moving Cordership? "Data loop" means an arbitrarily long stream of circulating gliders, but a glider may or may not be present at any point, so none of the loop reflection reactions can rely on a glider being there every time.

I don't have any really good ideas for what to do with data in a loop like that, even if it can be duplicated and sent out forward or backwards. A moving self-replicator is maybe vaguely possible, if it turns out that an approach like fch's p30 construction system would allow for a universal construction toolkit at p96.

An intermittent p64 forward stream crashing into an intermittent p128 backward stream, possibly, somehow building and filling both the new forward data loop structure and the new backward one, and then getting out of the way before the back part arrives in the construction area? Or would it work better to build a temporary stationary structure?

-- Okay, this is still a few orders of magnitude more difficult than the regular simple easy non-c/12 replicator, which I still haven't gotten around to finishing yet. Never mind for now...
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Re: Spaceship Discussion Thread

Postby dvgrn » January 7th, 2018, 8:12 pm

Just posted a p556 2-engine Cordership gun on Entity Valkyrie's thread. All the signals from the left-side shotgun come from one signal loop, in an unusual way involving quadri-Snarks, CP semi-Snarks (color-preserving) and CP-semi-cenarks.

Amusingly (though not to me), I built everything with p548 guns, because the original recipe supported that as the minimum period... but then I fiddled with the kickbacks to make the salvos easier to build, without noticing that I had increased the repeat time to p556.

Luckily all the base guns I used were adjustable, and all it took was widening out the loop by one cell diagonally and spending a few minutes retiming signals. Not bad considering that I thought for a moment I'd have to start the whole project over.
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Re: Spaceship Discussion Thread

Postby A for awesome » January 7th, 2018, 8:12 pm

dbell wrote:Finally, I want to clarify what I said before about the search script. It could be changed to use an already mostly stabilized component, and just one additional switch engine. For examples, one of the 'wings' of the three-engine Cordership, or the two-engine Cordership with a block removed. That might produce a nice three-engine result without too much work.

I tried some searches with a single complete 2-engine Cordership and a switch engine as the "reactants", and found these puffers, among others:
x = 624, y = 647, rule = B3/S23
614bo$610b2o2bo$609bo5bo$608b2o2bobo3b3o$609b2o3bo$610b3o4$603b2o$603b
2o5$618bo$613bobobobo$605b2o6bo6bo$605b2o5b2ob3o3bo$612b2o8bo$619bob3o
$619bob3o2$615bo$600bob2o$599bo2b2o2b3o2bo7bo$599bo6b2o3bo$599b2o4b2o
4bo$601bo$603b2o8$589bo$585b4obob3o5b2o$588bob2o8b2o4bobo$584bob2o4b2o
11b2ob3ob2o$582bo22bo4b4o$572b2o4b2obob2o19b3o5b2o$572b2o5bob2o23bo$
580bo32b3o6$580b2o$580b2o18bo$589b3o$559b2o28bobo10b2obo$559b2o28bo2b
2o2bo6bobo$591b3o2bo3b2o4bo$591b3o2bo8bo$597bo7bo2$601bo3$562b2o$561b
2o$562bo3bo$563b3o$564bo2$537b2o10b2o$537b4o8b2o12b2o$537bob2o23b2o$
564b3o$538bo20bo5b2o$537b2o21bo4b3o$537b3o21bo3b3o$539bo25b3o$551b2o9b
2ob2o$551b2o9b2ob2o$563bobo$564bo5$554bo$553b2o$552bo3bo$553b2o2bo$
558bo$555bobo$556bo$556bo$556b2o$556b2o$485b2o$484bo2bo2b2o$484bo3b5o
5b2o31bo10bo$484bobobo9b2o30b5o5bob2o11bo$489bo39bo10bo3bo9bo$481b3o
46b2o8b3obo9b2o$476b2ob5o47b2o9b2o12bo$476bo2bo38b2o13bo21b3o$477bobo
38b2o35b3o$478b2ob2o6$526b2o$526b2o11b2o$488b2o10b3o34b2o2bo$488b2o4bo
6bo2bo37bo3bo$493bobo9bo30bo5bo3bo$493bobo6bobo32bo2b2o3bobo$538b3o5bo
$546bo9$500b2o$500b2o3$501bo$500bo2bo$503bo$488b2ob2o5bo9bo$486b2o4bo
4bo11bo$493b2o3bo4bo5bo$486bo4bob2o4b6o3bo$487b2o2bob2o6bob2o$488bo2bo
5$481b3o2$479b2o$479bo4bo$479bo17b2o7bobo$471bo8bo2bo13b2obo3b2obo$
471b2o9bo13b2ob5ob2o3b2o$443bo27bobo25bob2obobo3b2o$443bo30b4o21b3o4bo
b2o2bo$443bo6b4o2bo18b5o19bo7bobobo$425bo23bo2b2o2bo18bo2b2o4bo24bobo$
424bobo21b4o2bo28b3o$424b2o20b2o34b2o2bo$445bobob4o29b2ob2o$446bob2obo
bo31b3o$453bobo27bob2o12bo$453bobo19b2o5bo2bo14b2o$446b2ob3o11b2o10b2o
8bo11b2o$433bo11b3ob3o11b2o17bobo13bobo$432bobo10bo4bo32bo14b2o$432b2o
12b3o49bo$446b2o36bo11bobo$484bo11bo2bo$484bo13b2o$499bo$462b3o4bo31b
3o$462bo6bo$462bo6bo$463bo2bo$467bo$466b3o$468b2o$466bob2o$445b2o19bob
o$445b2o20bo$438b3o$438bob2o$441b2o$440b3o22b2o$436bo4bo22bo$437bo2bo
23bo$438b3o12b2o9b7o$434bo18b2o10bo5bo$432bob2o30b3o2bo$433bo2bo29bo4b
o$437bo29bo2bo$434bobo30b3o$433b2o2$430b2o$429bo$386bo43b2o$386bo41bo
30bo$386bo6b4o2bo30bo24bo2bobo$368bo23bo2b2o2bo29b2o23bo2bobo$367bobo
21b4o2bo29b2o25b2o$367b2o20b2o41b2o20b2obo$388bobob4o28b2obo3bo22b2o2b
2o$389bob2obobo30b3ob3o21b5o$396bobo31b2o23b3obo$396bobo25bo5bo$389b2o
b3o11b2o17bo15bo13b3ob3o$376bo11b3ob3o11b2o19bo12bo5bo9bobobo$375bobo
10bo4bo46bo5bo10b3o$375b2o12b3o48b2o4bo11bo$389b2o$420b2o20b3o$420b2o
21b2o$444bo$405b3o4bo30bobo$405bo6bo31bo$405bo6bo31bo$406bo2bo$410bo$
409b3o16b2o$411b2o15b2o12b2o$409bob2o28bo2bo$409bobo29b2obo$410bo32b4o
$447bo$443b2o3bo$443bo3bo$408b2o34b3o$407bo$407bo$407b7o$408bo5bo$409b
3o2bo$409bo4bo$399b2o9bo2bo$399b2o9b3o6$396bo3b2o$394b2obob3o3bo$394bo
4b3o3bo$394bo3bo6bo$395b3o$397bo8$377bobo$373bo3bobo3b2o2bo6b2o8bo$
379b2ob2obob3o4b2o4bo3b2o$379bo7bobo9bobob2obo$373bobobo24bo4bo$366b2o
5b3obo2bo17b3obo3bo2bo$366b2o6bo3bo$347bo59bobo$347bo10b2o48bo$347bo
10b2o2$343b3o3b3o$317b3o$347bo26b2o14bob2o$347bo26b2o13bo4bo$347bo46bo
$383b3o3bo6b2o$348bo12b2o20bo2bo3bo7b2o$347bobo10b2o24bo4bo7bo$347bo2b
o10bo3bo18bobo4b2o5b2o$325b3o20b2o12b3o20bo7b5o$340b2o21bo$339bo2bo$
336bo3b2o$328b2o5bobo24b2o$329bo5bobo25b2o$325b2obob2o4bo26b3o$325b2ob
ob2o26bo5b2o$327b4obo26bo4b3o$327b2o19b2o10bo3b3o$328b2o17bo2bo13b3o$
328b2o18b2o11b2ob2o$329bo31b2ob2o$338b2o22bobo$337bo2bo22bo$337b2ob2o$
339bo12b2o$352b2o$328b5o$327bo4bo$326b4o$326b5o$327bob2ob2o$326b2ob2ob
ob2o$327b2o2b3o$326b2o$326b2o$324bobobo$322b2o32bo$322bobo29b2ob3o$
321bo2bo28bo2bob3o$322bo4bob2o26b2ob2o$324b3o3bo26bo2b3o$324bo3bobo22b
7o2b3o$325b2obo27bo3bo2bo$325b2ob2o26b7o$356b2o2bo$327b2o29bobo$328bo
30bo$326bobo$329bo11b5o$309b2o8b2o3bo4bo11b2obo$309b2o8b2o2bo5b2o11b3o
$329bo12b2o$324b2o2b3o11bo$329b2o10bobo$341b2o$340bob3o$341bo3bo$326bo
2bo10bo3bo$327b2o15b3o$296b2o44b2o$296b2o44b2ob2o$344bo2$311b2o$310b2o
b2o$315b2o$291b3o19bo3bo$290bo2bo10b2o8b3o$290b3obo9b2o$290b2o2$291b2o
$292bo$292bo$288bo13b2o$287bo14b2o$287bo3bo$292bo$288bo$285b2o5bo$284b
2ob2ob2o13b3o$285bo4bo5bobo5bo$286bo2bo2bobo9bobob2o$286b2o4bo10b2o3b
2o$292bobo3bo5b3ob2o$281b3o11b2obo5b4o$281bo2bo21b2o$281bo2bo$237b3o
40b4o$250b2o27bo$220bo29b2o29bo$219bobo57b2o$219b2o55bobo$275bo2bo$
275bo$244b4o27b2o25bo$243bo2b2o27b2o26b5o$249bo8b2o18bo23bobo2bob3o$
243b2o3bo9b2o17bo27bo6bo$240bobo26b2o31bo3b2o4bo$239bo2bo26b2o30bobo3b
o4bo$236b4obo60bo6b3o$236bo2bo$236bo2bo$237b2o3$277b2o$277b2o$292bo$
247b2o12bo28b2ob2o$246b2o13bo31b3o$246b3o11bo$254bo6b2obo28b3o$248bob
2obobo5b2ob2o28bo$248bo2bo2bo7bobo$242bo5bobo$241bobo$240b2ob2o$241bob
2o$241b2o2bo$241b2obo$242bo2$238bobo11b2o$238bo13b2o$238bo2bo$239bo2bo
$238b2o2bo$236b3o2bo$235b2o3bo15bo$235bo2b2o4bo2bo7bobo$236b3o4bo3b2o
5bo3bo$243bo3bo5b2obobo$243bo3bo5b2obobo$231b2o11bo2bo7b3o$231bobo12bo
$233b2o$232bo$230bobo$229b2o$231bo$227bo$226b2o$225bo2bo24bo$225b2o25b
o2bo$226bobo15bo6bo4bo$226b3o15bo7b2o2bo3bo$251b2obobo2bobo$194b2o5b2o
16b2o30b2o3bobo3bo$193bo2bo4b2o16b2o7bo22bo3bo3bobo$194b2o30b2o24b2o6b
o$244bo$243bo$244bo3$189b2o36b2o$188bobo36b2o$189bo52b2o$241b3o$242b2o
$190b2o52bo$189bo2bo11bo39bo$184b2o6bo3bo6b3o38bo$183bobo3b5o3bo5b3o$
182b3o6bo6bo7b3o$182b3ob2o4bo3b2o$185b3o4b2o$182bo4bo$185bo$182bob2o$
183bob2obo3b2o$182b4o2bo3b2o$184b2o2bo$186bo2$179bobo$178b2obo$177b4o
11bo$191b2o$190b2o5b3o$191b2o2$197bo$195bo2bo$167b3o25bo$167b3o$167bo
2bo24bob2o$168b3o25bo$168b2o2$180b2o$180b2o12bo$193bo$192b2ob4o$184b2o
7bob5o$144b2o13b2o22b2o8bo6bo$144b2o13b2o5b3o15bo9b3o2b3o$165bo2bo14b
2o10bobob2o$166b2o16b2o9b2ob2o$167b2o27b3o$184bo12bo$165bobo16b3o$166b
2o13bobo$167bo12b2o3bo$181bo2$148bo34b3o$149b2o$146b2o$147bobo$134b2o
11b2o$134b2o11bo$145bobo$145bo2bo$147b2o$148bo$150b3o8$141b2o$141b2o$
129bo$127b3o$128b2o$129b2o$127bo5b2obo$127b7ob3o$142bo6b2o$131bo10b3o
4b2o$117bo7bo4bo5bo4b2obo$123bobo4bo3b2o$117b5o9b2o$118b2o4b2o$118bobo
3b2o$121b2o$123bo$115bo$114b3o$113bo2b2o$77bo34b3ob2o27bob2o$76b3o34b
5o26bo4bo$76bo2bo35bo33bo$78b2o58b3o3bo6b2o$138bo2bo3bo7b2o$108b2o31bo
4bo7bo$108b2o29bobo4b2o5b2o$140bo7b5o5$88bo$116b2o$73b3ob2o37b2o15bo$
73b3ob3o3b2o9b2o33bo3b2o$72bo11b4ob2o3b2o32bobob2obo$71bo2b3obo6b3o43b
o4bo$72b4obobo7bo2bo36b3obo3bo2bo$77bobo$78bo57bobo$137bo7$91b3o$85bo
2b3o2bo$84bo8bo2b2o$84bo5bobo5bo$84b2ob2o2b2ob2o2bo$85bo7bobob2o$94bo$
78b2o$78b2o5$78b2o$78bobo$80bo5b2o$78bobo5b2o$77bo$77bobo$77bo2$73b3o$
72bo$72bo2bo12b2o$73bo14b3o$74b2o11bo2bo$74bobo11bo3bo$73b2o14bob3o$
73b2o16b2o$74bo15b3o$90b2o$90bo$91b2o$61b3o$61bo2bo$30b2o31b2o9b2o$30b
2o42b2o$59bo2bo26bo$60b2o27b2o$63b2o24bo2bo$53b2o7b3o10b2ob2o$14b2o37b
2o8bo11bo2bo11bobo$14b2o44bo2bo13b2o12bo$38b2o21b2o13bo$38b2o21b2o12bo
bo2$61b3o2$77b4o$77bo6$19b2o6bo$19b2o6bo$14b2o10bobo11b2o$14b2o11b3o9b
2ob2o$27b2o2b4o9b2o$27bo7bo6bo3bo$28bo5bo8b3o$28bo5$25b2o$25b2o5$25b2o
$25bobo$27b2o4b2o$26bo6b2o$24bobo$23b2o$25bo$21bo$20b2o$19bo2bo$19b2o
14bobo$20bobo11bo2bo$20b3o11bo2b2o$35b3ob2o$37bo2bo$22bo$20b2o$36bo2bo
$37bobo$9bo28bo$8b3o$8bo2bo$10b2o9b2o$10bo10b2o$7b2o27b2o$7b4o24b3o$8b
o2bo24b2o$2o7bo12b5o11bo$2o20bo15bo$8bobo12b3o12bo$7bo2bo12bobo$8b2o
13bo$10bo$9bo$9bo15b2o$24b3o$24bobo!

May or may not be that useful. Like the two engine boat puffers, there's not enough room to combine two of the 3-engine ones to lay tracks for a swimmer. The p192 century puffer could (maybe) be used to build p192 Corderships with as few as 5 SEs — what's the smallest p192 Cordership known?

I haven't tried "wings" or a Cordership minus a block yet — I'm suspicious the latter wouldn't return anything new, but the former could have possibilities if one were to take a "wing" plus the second SE from the Cordership and search for combinations of that pair with a third SE — I might try that next.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce
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Re: Spaceship Discussion Thread

Postby dbell » January 7th, 2018, 8:57 pm

Thanks for those synthesis reactions for the rake. I really like the one with the delayed construction of the second half.

It might be interesting to use the new heizenburp device so as to trigger the creation of the second half. Then the first half could call its other half over to 'dance'.

Also, we have had loops in Cordership technology for years, using forward gliders and boats. Here is an old rake showing this. Any of the boats can be removed to make any output pattern you want.

x = 119, y = 145
33bo$32boo7bo$31bobob3obbobo$30b3o3boo3bo$31boboboobobo$32booboo$33bob
5obo$37b4o11boo$52boo7$60boo$36bo23boo$39bo6bobo$34bo11bobobo$33bo3bo
bbo10boo$34b3obbo10bo$35bo3bo$37boo$25boo10bo$26bobbo4bo$23bobb3obobbo
bo$23bobbo4b4o$23bobbo$26bo6bo$25boobo$3bo29bo$bboo7bo19boo41b3o$bobob
3obbobo$3o3boo3bo66bo$boboboobobo63bo3boo12bo$bbooboo69bobo13boo$3bob
5obo61b3o16bobo$7b4o11boo51bo$22boo67boo$23bo50boo16boo$24bo50boo14bo
bbo$23bobo49bo15b3o5boo$23bobo4boo43boo22boo$24b4ob3o42boo$28boobbo$
25bobbobbo$6bo18bobo$9bo6bobo6b3o62bo$4bo11bobobo4bo39boo3b4o11boob3o$
3bo3bobbo10boobbobbo31b3obobbo6bo13bobo16boo$4b3obbo10bobo3b3o35bobbo
bb5o10b3o19boo$5bo3bo13bobooboo34bobbo$7boo13b3obobbo36bo$7bo14boboob
3o33bobo17boo$64bo18boo$46bo51bo$45bobo49bobo$10boo32bo3bo27bo19bo3bo$
10boo13bobbo16bobo14bo12bobo19bobo$25bobbo17bo15bo12bobo20bo$20boo4bo
35bo13bo$21boo4bo18b4o48b4o$21bobo21bo4bo13bo32bo4bo$21bobo23bo15bobo
33bo$20boobbo19bo3bobbo12bo31bo3bobbo$19bo3bo20bob3obo45bob3obo$20b3o
22b3obo47b3obo$21bo3$29boo$29bobo57b3o$30bo67bo$91boo5b3o8boo$91b4o4bo
9boo$42b3o46boob3oboo$42bo7boo44bobo$43bo6boo$37boo$37bobo$38bo$117boo
$117boo$$58boo$58boo$45boo53boo$45bobo55bo$46bo51boo4boo$97boo6bo$96b
3obboobbo$58b3o28b3o9boobo$58bo7boo9booboo8boo$59bo6boo9boo8booboo$53b
oo22boobobo5boo$53bobo24bobo$54bo26boo4$74boo$74boo$61boo$61bobo$62bo
3$74b3o$74bo$75bo$69boo29bo$69bobo27bo$70bo28b3o6$77boo$77bobo$78bo6$
85boo$85bobo$86bo14$84bo$83bo$83b3o!

It should be easy enough to get output gliders at the top of loop instead of the bottom, using for example the glider duplicating reaction shown in the logarithmic growth Cordership pattern.

I had thought of encoding construction instructions in such a loop, but since it moves, and the period is so high, and it only has one lane it seemed useless. But, maybe if two such loops were side by side, pairs of gliders might allow for more useful things.

BCNU,
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