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

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.

dvgrn
Moderator

Posts: 5819
Joined: May 17th, 2009, 11:00 pm

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
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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
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2571bo$5894b3o2572bo$5127bo3339b3o$5125bobo$5126b2o3085bobo$8214b2o$
8214bo$7704bo$7702bobo$7703b2o4$5168b2o766b2o1790b2o510b2o254b2o2558b
2o$5168b4o764b4o1788b4o508b4o252b4o2556b4o$5168bob2o764bob2o1788bob2o
508bob2o252bob2o2556bob2o2$5169bo767bo1791bo511bo255bo2559bo$5168b2o
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254b2o766b2o510b2o254b2o1022b2o510b2o254b2o2558b2o$560b4o2812b4o1532b 4o252b4o764b4o508b4o252b4o1020b4o508b4o252b4o2556b4o$560bob2o2812bob2o
1532bob2o252bob2o764bob2o508bob2o252bob2o1020bob2o508bob2o252bob2o
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2o$560b3o2813b3o1533b3o253b3o765b3o509b3o253b3o1021b3o509b3o253b3o 2557b3o$562bo2815bo1535bo255bo767bo511bo255bo1023bo511bo255bo2559bo$574b2o2814b2o1534b2o254b2o766b2o510b2o254b2o1022b2o510b2o254b2o2558b2o$574b2o2814b2o1534b2o254b2o766b2o510b2o254b2o1022b2o510b2o254b2o2558b
2o$515bobo$516b2o$516bo4$577bo2815bo1535bo255bo767bo511bo255bo1023bo
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579b2o2814b2o1534b2o254b2o766b2o510b2o254b2o1022b2o510b2o254b2o2558b2o
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541b2o35b3o2776b2o35b3o1496b2o35b3o216b2o35b3o728b2o35b3o472b2o35b3o
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2o2801b2o11b2o1521b2o11b2o241b2o11b2o753b2o11b2o497b2o11b2o241b2o11b2o
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180$10518bo$10519bo$10517b3o7$11050bo$11048bobo$9235bo1813b2o$9236bo$
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254b2o256bobo1285bo513bo771bo253bo$4102bobo511b2o513b2o1027bo258b2o 512b2o770bo$4103b2o1026bo773bo255b2o255b2o512b2o258bo510b3o$5903bobo 254b2o1028bobo$5904b2o1285b2o$3336bobo$560b2o766b2o254b2o254b2o1495b2o
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252bob2o252bob2o1532bob2o764bob2o508bob2o252bob2o252bob2o764bob2o252bo
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766b2o254b2o254b2o254b2o254b2o254b2o510b2o254b2o254b2o254b2o254b2o510b
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579b2o766b2o254b2o254b2o1534b2o766b2o510b2o254b2o254b2o766b2o254b2o
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216b2o35b3o216b2o35b3o1496b2o35b3o728b2o35b3o472b2o35b3o216b2o35b3o
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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! I Like My Heisenburps! (and others) Extrementhusiast Posts: 1794 Joined: June 16th, 2009, 11:24 pm Location: USA Re: Spaceship Discussion Thread 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.

dvgrn
Moderator

Posts: 5819
Joined: May 17th, 2009, 11:00 pm

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]

Posts: 1884
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

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. dvgrn Moderator Posts: 5819 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Re: Spaceship Discussion Thread 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
Sokwe
Moderator

Posts: 1480
Joined: July 9th, 2009, 2:44 pm

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. gmc_nxtman Posts: 1147 Joined: May 26th, 2015, 7:20 pm Re: Spaceship Discussion Thread 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$$3bo11bo4boobb3o10bo5bob obobo9bo5bo12bo3ob3o13bo15bo31bo5bobbob3o23boobb5o21b3ob3obboobb oo22bo3boboo4boboo20boo6boo25boobbobobbo23boobobobbo24bobbo30bo 30boo32bo30boo$$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$$52bobbo54boo55bo69boo69boo352boo54bo52boo44bo25bo 36b3o3b4o24boo5boo36bobo3booboo23boo5boo36b3obbo26bobo41boo3bo5bo 16boo42b4o7boo16bo43b3o23bobbo72bo69b3o$$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
$$104bo3boo102boobob3o3bo102bo4b3o3bo102bo3bo6bo67b3o33b3o49bo17b o37bo12bo37bo17bo12b3o33b3o4bo6bo3bo4bo3b3o4bo4bo3b3oboboo8boo3b o$$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$$46b3o45bo45bobbo23b3o 46bo16boo7b4o47boo16bo5bo3boo47bobo26bobb3o39boo5boo23booboo3bobo 39boo5boo24b4o3b3o47bo25bo64boo63bo64boo347boo47boo62bo62boo 62bobbo$$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.)

BCNU,
-dbell
dbell

Posts: 49
Joined: June 27th, 2013, 12:47 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!
chris_c

Posts: 904
Joined: June 28th, 2014, 7:15 am

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$$22bo26bo8bobo6bobb4o24bobo7bo9bob4o25bo8bobbo6b3o3boo 21bo3boo10b3o9bobboo21bobboo23boboo21bo24bo8boo3boo33boo3boo7boobb oo47b6o50bo4bo31b3obo7bo21bo4bo4boo3boobo5b3o23boboo4boo3boooo3b obo22b3o6bobbo13bo5bobboo3boo9bobobo13boo5b5o3bo21boobbobbo26boo 89boo3boo3bo3b4o3bobo3boboobbobbo3bo3boboo4bo3boo7bo3bo32bo12bo 30bo43b3o48boo8boo2528bo27bo27b3o! Shall we try for a three-engine rake? There might be a good chance of one existing. Maybe that search script could be adapted to find it. BCNU, -dbell dbell Posts: 49 Joined: June 27th, 2013, 12:47 am Re: Spaceship Discussion Thread Coming back to the 2-engine cordership search: There could be different orbits for the 2-engine puffers, there is even the unlikely chance of a clean rake. Has this search space already been investigated? HartmutHolzwart Posts: 422 Joined: June 27th, 2009, 10:58 am Location: Germany Re: Spaceship Discussion Thread HartmutHolzwart wrote:Coming back to the 2-engine cordership search: There could be different orbits for the 2-engine puffers, there is even the unlikely chance of a clean rake. Has this search space already been investigated? My search script already does -- it initializes a small random soup behind each switch engine pair, so it's pretty much orbit agnostic (that is, if you leave it running long enough, it should find almost all possible orbits that aren't ridiculously unlikely, such as, for instance, a 3-engine Cordership). x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)$$x_1=\eta xV^*_\eta=c^2\sqrt{\Lambda\eta}K=\frac{\Lambda u^2}2P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1876 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Re: Spaceship Discussion Thread Forward glider to backward LWSS and block: x = 68, y = 55, rule = B3/S23 obob2obo446b2o46b4o46bob2o247bo46b2o46b3o48bo60b2o60b2o7 63bo62b2o61bo3bo62b2o2bo67bo64bobo65bo65bo65b2o65b2o340bo10b o39b5o5bob2o11bo38bo10bo3bo9bo39b2o8b3obo9b2o40b2o9b2o12bo27b2o 13bo21b3o27b2o35b3o735b2o35b2o11b2o46b2o2bo51bo3bo45bo5bo3bo46b o2b2o3bobo47b3o5bo55bo! I Like My Heisenburps! (and others) Extrementhusiast Posts: 1794 Joined: June 16th, 2009, 11:24 pm Location: USA Re: Spaceship Discussion Thread Belated congrats to A for Awesome! The 2-engine cordership is supersuper nice Best wishes to you, Scorbie Scorbie Posts: 1381 Joined: December 7th, 2013, 1:05 am Re: Spaceship Discussion Thread Here are a few Cordership results. #C A period 96 c/12 forward Cordership rake built using an old three-engine #C block puffer, the new two-engine Cordership, and the new four-engine rake. #C The Cordership converts the blocks into the usual honeyfarm reaction #C used to turn the gliders. #C David I. Bell, 7 January 2018 x = 157, y = 133 3oobo11128bo6boo127bobo3bo3bo126bo3bobo3boo16b3o108bobobboboboo 16bo111bo3bobboo17bo114bo4bo133bobbo10boo135bo11boo6125bo108b3o8b o5bo29boo107bo3bo6bo7bo28boo108boo9b4obboo110booboo9b3o112boo11bob o32b3o91bo23b3o32bo93bo22boobbo33bo118boo93bo54bob3o92b3o51bobboo 91booboo48bo90boobobo46b3obbo89b3obb3o45boobbo90bo6bo35bo8booboo 91b5obo33boobo9boo92b4oboo30bo9boo3bo97bo31bo6bobboo96bo12boo3boo 20bo109boo3boo13boobbobbo128bo3b4o129b3obo48b3o43bo34b3o48bo43boo bo49bo95bo92bobbo21boo3boo93bo23boo3boo$$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$$177boo177boo$$177boo$177boo 8boo$172boo13boo$172boo$$185boo185boo$$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$$40bo39b3o38bobobo37b3ob3o12bo55bobo39bob3o13b oo39b5o9bo3bo39boobboo11bobboo41boboo14bo43boo9bobboo22b4o39bobo bbo11bo24boobo38bobobbo36bobobbo39bo40b3oboo80b3oboo84bo$$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$$5boo12boo 4bo13bobbobbooboo11bobo5boo10boo3bo13bo20boo20boo20boo17boobo 18b3o19bo47boo7boo715boo15boo! BCNU, -dbell dbell Posts: 49 Joined: June 27th, 2013, 12:47 am Re: Spaceship Discussion Thread I thought it might be nice to have a glider synthesis of my four-engine Cordership rake. A gun for that would make another breeder. So I just took Dave Greene's glider recipe for the two-engine Cordership and duplicated it. #C Synthesis?? of four-engine Cordership rake. x = 142, y = 137 50bobo51boo51bo1744bo45boo44boo1553b3o55bo54bo85boo85bobo 20bo64bo21boo24boo20boo24bobo40bo7bo40bobo40boo23b3o65boobo63bo boobo32bo33bo33b3o843b3o43bo44bo1737boo37bobo37bo$$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. BCNU, -dbell dbell Posts: 49 Joined: June 27th, 2013, 12:47 am Re: Spaceship Discussion Thread 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! 2718281828 Posts: 738 Joined: August 8th, 2017, 5:38 pm Re: Spaceship Discussion Thread 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. dvgrn Moderator Posts: 5819 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Re: Spaceship Discussion Thread 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! calcyman Posts: 2088 Joined: June 1st, 2009, 4:32 pm Re: Spaceship Discussion Thread 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!

dvgrn
Moderator

Posts: 5819
Joined: May 17th, 2009, 11:00 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.
chris_c

Posts: 904
Joined: June 28th, 2014, 7:15 am

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... dvgrn Moderator Posts: 5819 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Re: Spaceship Discussion Thread 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. dvgrn Moderator Posts: 5819 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Re: Spaceship Discussion Thread 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 A for awesome Posts: 1876 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Re: Spaceship Discussion Thread 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,
-dbell
dbell

Posts: 49
Joined: June 27th, 2013, 12:47 am

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