2c/4 Flyby Reactions

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

2c/4 Flyby Reactions

Post by knightlife » December 31st, 2009, 4:23 pm

Does anyone have a catalog of flyby reactions such as this c/2 glider duplicator?

Code: Select all

x = 20, y = 18, rule = B3/S23
18bo$17bo$17b3o6$8bo$6bo3bo$11bo$6bo4bo$7b5o2$o2bo$4bo$o3bo$b4o!
It is an interesting area to investigate, and I'm sure someone has collected these in the past. Hopefully I don't need to rediscover the reactions. Perhaps there is a search program to find them?

I know there are many examples of these scattered about, it is the collections that I have not seen.

EDIT:
Here is a G-to-H converter that could be used as a glider duplicator also. A Herschel is created at generation 80:

Code: Select all

x = 26, y = 23, rule = B3/S23
5b5o$4bo4bo$9bo14bo$4bo3bo14bo$23b3o6$13b2o$11bo4bo$17bo$11bo5bo$12b6o
4$b6o$o5bo$6bo$o4bo$2b2o!

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abiessu
Posts: 31
Joined: November 6th, 2009, 7:13 pm

Re: Flyby Reactions

Post by abiessu » December 31st, 2009, 5:06 pm

These are some "conversions" that I've found... I think that most of them are probably well-known. I've added the glider duplicator in the middle...

Code: Select all

x = 347, y = 142, rule = B3/S23
b3o$bo2bo3bo$bo5bobo$bo3bobo2bo$bo6b2o$2bobo38b3o$43bo2bo3bo$19b3o21bo
5bobo$18bo2bo21bo3bobo2bo$21bo21bo6b2o$17bo3bo22bobo15bo$17bo3bo39b3o$
21bo39bob2o$18bobo41b3o$62b3o$2bo59b3o$b3o58b2o$2obo49b2o2bo$3o48bob2o
bobo60bo37b3o5bo$3o47b4o3bo43b3o6bo7b3o21b3o12bo2bo3bobo$b2o47bo3bo2bo
43bo2bo4b3o6bob2o15bo3bo2bo12bo5bo3bo34bo$54bobo44bo6b2ob2o6b3o15b2o5b
o12bo3bo2bobo34b3o$55bo45bo3bob3ob3o5b3o16bobo3bo12bo3bo3bo26b3o5b5o5b
3o$101bo3bo2b2ob2o6b3o18bo3bo12bo34bo2bo3b2o3b2o3bo2bo80bo$101bo7b3o7b
2o23bo13bobo11b3o17bo5b3o3b3o5bo16b3o59bobo$102bobo5bo30bobo27bo2bo17b
o3bo2b2o3b2o2bo3bo16bo2bo34b2o23b2o$174bo17bo3bo3b5o3bo3bo16bo37b2o$
57b2o111bo3bo17bo8b3o8bo16bo3bobo$174bo18bobo6bo6bobo18bobobo$59bo111b
obo60b3o100b3o$56bo185bo88bo4bo2bo$56bobo133b3o15b3o28b3o57b3o27bobo5b
o$55bo2bo132bo2bo15bo2bo27bob2o55bo2bo27b2o2bo3bo$55bobo136bo15bo31b3o
58bo31bo3bo$50b5o2bo132bo3bo15bo3bo27b3o54bo3bo35bo$50b2ob2ob2o136bo
15bo31b3o58bo32bobo$52b2o2b2o61bo71bobo17bobo28b2o24b3o29bobo$55b3o60b
3o106bo40bo$55bob2o58b2obo105b3o38b3o36b3o$58b2o57b3o106bob2o75bo2bo$
58b2o57b3o107b3o78bo$117b3o107b3o78bo30b3o$118b2o107b3o75bobo31bo2bo$
227b2o110bo$58b2o279bo3bo$57bo2bo278bo3bo$339bo$52b3o2b2obo200b3o76bob
o$51bobo3b2o201bo2bo57bo$50bob3o2b3o203bo56b3o$54bobo2bo199bo3bo17bo
38bob2o$52bo8bo197bo3bo16b3o38b3o$52bobobobob3o6b3o191bo16bob2o37b3o$
55bo2b2o3bo5bo2bo187bobo18b3o37b3o$59bo2bo6bo211b3o37b2o$59b3o7bo3bo
207b3o$57b2o10bo3bo207b2o$56bobo10bo$57bo12bobo$52b2o$55b2o$50b2o3b2o$
50b2obo3bo206bo$50b2o3b2o206b3o$52bo210bob2o$53bo210b3o$59bo204b3o$59b
2o203b3o$56bob2o204b2o$58bo2$312b3o$311bo2bo$314bo$310bo3bo$310bo3bo$
314bo$311bobo10$324bo$323b3o$323bob2o$324b3o$39b3o282b3o15b3o$39bo2bo
281b3o15bo2bo$39bo284b2o16bo$39bo3bo298bo3bo$39bo3bo298bo3bo$39bo302bo
$40bobo300bobo6$325b3o$325bo2bo$325bo$325bo3bo$325bo3bo$325bo$326bobo
7$68bo$67b3o$67bob2o$68b3o$68b3o$68b3o$68b2o3$59bo$42bo15b3o$41b3o14bo
b2o$40b2obo15b3o$40b3o16b3o$40b3o16b3o$40b3o16b2o$41b2o3$44bo$43b3o$
42b2obo$42b3o$42b3o$42b3o$43b2o!
There are a few notable 'pure' conversions in there (i.e., they don't require debris from a previous encounter):

Glider to LWSS (must be p28 or greater)
Loaf to glider
pre-traffic light to glider (any direction glider is possible)
pre-honeycomb to glider
pre-beehive to glider
pre-honeycomb to traffic light
herschel to LWSS (p28 or greater)

Code: Select all

x = 26, y = 26, rule = B3/S23
12b3o$11b5o$11b3ob2o$14b2o$18b2o2b4o$20b2o3bo$19bo5bo$24bo$19bo2bo$19b
2o$21bo$5bo7bo4bo4bo$6bo7bo9bo$o5bo2bo4bo4bo4bo$b6o3b5o5b5o2$18bobo$
17bo2bo$18bobo$18b2o$18b2ob5o$25bo$12b3o3bo6bo$11b5o3b2o3bo$11b3ob2o$
14b2o!

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: Flyby Reactions

Post by knightlife » December 31st, 2009, 7:08 pm

Thanks for sharing, I have been following your posts and trying out flyby reactions more. Your glider to LWSS converter is awesome. The extremely long chains of reactions in some of your posts led me to consider "flyby conduits" and what I call "flyby logic". If there are flyby converters and duplicators for various spaceships then logic opertions could be performed with waves of flyby spaceships providing "conduits" for the logic performed by the spaceships that are going through converters. It's not easy, but it is possible (I think).

Besides creating conduits, flyby logic can be performed on still life. This ship can be used as a flip-flop:

Code: Select all

x = 41, y = 20, rule = B3/S23
2bo$bo32b6o$bo4bo27bo5bo$b5o28bo$35bo4bo$37b2o2$2o$obo$b2o5$13b2o$11bo
4bo$10bo14b5o$10bo5bo8bo4bo$10b6o9bo$26bo!
Pro: It can be flipped horizontally and/or vertically because of its symmetry.
Con: Currently there is no fanout or way to non-destructively test its state.
Oscillators can be created with flyby technology also. With guns and eaters, the ship flipping example above becomes an oscillator (a demo mode).

I have been able to duplicate a block, but not separated enough to produce a fanout (Y-conduit).

Code: Select all

x = 77, y = 92, rule = B3/S23
45b5o$45bo4bo$45bo$46bo3bo$35b2o11bo$34b2ob3o$24b2o9b5o$23b2ob4o6b3o$
24b6o$15b5o5b4o$15bo4bo$15bo$6b4o6bo3bo51b3o$5b6o7bo52b5o$4b2ob4o59b2o
b3o$5b2o64b2o4$2o$2o3$5b3o$4b5o$3b2ob3o$4b2o2$12b2o7b2o$11b2ob3o3b2ob
4o$12b5o4b6o$13b3o6b4o29$45b5o$45bo4bo$45bo$46bo3bo$35b2o11bo$34b2ob3o
$24b2o9b5o$23b2ob4o6b3o$24b6o$15b5o5b4o$15bo4bo$15bo57b3o$6b4o6bo3bo
51b5o$5b6o7bo52b2ob3o$4b2ob4o61b2o$5b2o4$2o$2o3$5b3o$4b5o$3b2ob3o$4b2o
2$12b2o7b2o$11b2ob3o3b2ob4o$12b5o4b6o$13b3o6b4o!
The top example shows how the MWSS does not quite complete a block duplicator but moves the block instead.
The bottom example completes the (wide) block duplicator but at the cost of destroying the MWSS. (Not "pure" flyby logic !)
Notice how a conduit can be "one-sided" instead of having flyby spaceships on both sides of an ongoing reaction. It would be nice if each branch of a fanout could be one-sided.

Of course a different still life could be the basic element, but the block it my first attempt for fanout.

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abiessu
Posts: 31
Joined: November 6th, 2009, 7:13 pm

Re: Flyby Reactions

Post by abiessu » December 31st, 2009, 9:00 pm

knightlife wrote:...

I have been able to duplicate a block, but not separated enough to produce a fanout (Y-conduit).

Code: Select all

x = 77, y = 92, rule = B3/S23
45b5o$45bo4bo$45bo$46bo3bo$35b2o11bo$34b2ob3o$24b2o9b5o$23b2ob4o6b3o$
24b6o$15b5o5b4o$15bo4bo$15bo$6b4o6bo3bo51b3o$5b6o7bo52b5o$4b2ob4o59b2o
b3o$5b2o64b2o4$2o$2o3$5b3o$4b5o$3b2ob3o$4b2o2$12b2o7b2o$11b2ob3o3b2ob
4o$12b5o4b6o$13b3o6b4o29$45b5o$45bo4bo$45bo$46bo3bo$35b2o11bo$34b2ob3o
$24b2o9b5o$23b2ob4o6b3o$24b6o$15b5o5b4o$15bo4bo$15bo57b3o$6b4o6bo3bo
51b5o$5b6o7bo52b2ob3o$4b2ob4o61b2o$5b2o4$2o$2o3$5b3o$4b5o$3b2ob3o$4b2o
2$12b2o7b2o$11b2ob3o3b2ob4o$12b5o4b6o$13b3o6b4o!
The top example shows how the MWSS does not quite complete a block duplicator but moves the block instead.
The bottom example completes the (wide) block duplicator but at the cost of destroying the MWSS. (Not "pure" flyby logic !)
Notice how a conduit can be "one-sided" instead of having flyby spaceships on both sides of an ongoing reaction. It would be nice if each branch of a fanout could be one-sided.

Of course a different still life could be the basic element, but the block it my first attempt for fanout.
When I first started playing with Golly and figuring things out, I found the following rather lengthy rake, which does have a Y-conduit possibility:

Code: Select all

x = 485, y = 71, rule = B3/S23
49b2o$47bo4bo$46bo$46bo5bo158b2o$46b6o157bo4bo$208bo$208bo5bo$208b6o$
188b2o40b4o$186bo4bo37b6o$185bo42b2ob4o$b2o68b2o112bo5bo37b2o$2ob2o8bo
55bo4bo110b6o$b4o3bo4bobo52bo$2b2o3bo5bo2bo51bo5bo7b6o77b2o$6bo2bo6bo
51b6o8bo5bo67bo6bo4bo$2b2o3bo5bo2bo65bo71bo3bo3bo$b4o3bo4bobo67bo4bo
64bo8bo5bo$2ob2o8bo71b2o66bo4bo3b6o$b2o150b5o$14b2o126bo$12bo4bo116bo
5bo3bo154b2o$11bo120bo3bo2bo115b2o20b2o18bo4bo$11bo5bo11b2o100bo7bo4bo
108bo4bo16bo4bo15bo$11b6o10bo4bo98bo4bo2b5o108bo21bo21bo5bo$26bo104b5o
116bo5bo15bo5bo15b6o$26bo5bo192bo20b2o4b6o16b6o40b2o$26b6o191bo3bo16bo
4bo68bo4bo14b4o$222bo20bo73bo20bo3bo83b4o$222bo4bo15bo5bo67bo5bo14bo
86b6o$61b2o159b5o16b6o68b6o16bo84b2ob4o18b2o$59bo4bo16b2o342b2o20bo4bo
$58bo20bo4bo361bo$58bo5bo13bo367bo5bo$58b6o14bo5bo77b6o278b6o$78b6o78b
o5bo267b2o43b2o$162bo271bo4bo39bo4bo$163bo4bo264bo44bo$133b2o30b2o266b
o5bo38bo5bo$131bo4bo296b6o39b6o$130bo54b6o$120b6o4bo5bo48bo5bo$120bo5b
o3b6o49bo$120bo65bo4bo$121bo4bo61b2o21bo$123b2o84b2o$209bo2b3o2bo$209b
o4b3o62b2o$210b3o2b2o60bo4bo$276bo$212b2o62bo5bo49b4o$210bo4bo60b6o50b
o3bo$209bo122bo$209bo5bo117bo125b2o$209b6o242bo4bo$456bo$456bo5bo$456b
6o3$324b2o$322bo4bo$321bo$321bo5bo8bo$321b6o7bo3bo$333bo35b2o$333bo4bo
5b2o21bo4bo$333b5o4bo4bo18bo$341bo24bo5bo$341bo5bo18b6o$341b6o!

Code: Select all

x = 26, y = 26, rule = B3/S23
12b3o$11b5o$11b3ob2o$14b2o$18b2o2b4o$20b2o3bo$19bo5bo$24bo$19bo2bo$19b
2o$21bo$5bo7bo4bo4bo$6bo7bo9bo$o5bo2bo4bo4bo4bo$b6o3b5o5b5o2$18bobo$
17bo2bo$18bobo$18b2o$18b2ob5o$25bo$12b3o3bo6bo$11b5o3b2o3bo$11b3ob2o$
14b2o!

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: Flyby Reactions

Post by knightlife » January 1st, 2010, 12:38 am

abiessu wrote:I found the following rather lengthy rake, which does have a Y-conduit possibility:
At generation 262 the reaction becomes a pi pattern which splits into two boats if trailing spaceships are removed. The following is an unmodified piece from the middle of the rake:

Code: Select all

x = 30, y = 33, rule = B3/S23
23b6o$23bo5bo$23bo$24bo4bo$26b2o2$6o$o5bo$o$bo4bo$3b2o4$o$2o$2bo$2o$o
4$3b2o$bo4bo$o$o5bo$6o2$26b2o$24bo4bo$23bo$23bo5bo$23b6o!
This could become the key 4-spaceship component of a simple Y-conduit fanout.
Almost there...

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abiessu
Posts: 31
Joined: November 6th, 2009, 7:13 pm

Re: Flyby Reactions

Post by abiessu » January 2nd, 2010, 12:48 am

After working with it a bit, here's some mechanisms that could be the start of Y-conduit logic:

Code: Select all

x = 351, y = 52, rule = B3/S23
46b2o165bo79b2o$45b2ob4o159bo3bo75bo4bo$46b6o158bo17b4o48b2o8bo$47b4o
159bo4bo11b6o37b3o5bo4bo6bo5bo$210b5o11b2ob4o15b5o16b5o3bo12b6o$227b2o
19bo4bo14b2ob3o3bo5bo$47bo190b2o8bo20b2o6b6o$46b3o188b2ob4o5bo3bo$35b
2o9b3o136b2o44bo6b6o7bo47b4o$4o32bo8b2ob2o134b2ob4o40b3o5b4o28bo27bo2b
2o17b2o$o3bo25b2o2b2ob2o7b3o136b6o40bo2bo34b3o28bo2b2o16b2o$o29b2o2b2o
10b3o19b2o13b4o99b4o40bo2b2o26bo6bo3bo27bo2bo$bo2bo2b2o11b2ob2o9b2o2b
2o27b2ob4o8b6o142b2o3b2o34b2o28b2o$6b3o10bobo3bo7bobob2o29b6o7b2ob4o
142bo3bo2bo23bo6b3o$bo2bo2b2o10bobo2bo7b2obob2o30b4o9b2o78b2o65b2o3bo
2bo$o20bo10b2obob2o114b2o6b2ob4o36b2o21bo3bo2bo2bo16bo19bo$o3bo29bo8b
2o6b2o19bo79b2ob3o4b6o35bobo22bo2bo3b2o17bo17bo3bo68b2o$4o14b2ob2o12b
3o5bo7b2o18bo81b5o5b4o14bo24b2o21b2o2b2o36bo72b2ob4o$20bo14b2o6b2o2b2o
22b2o3bo77b3o24b4o17b2o16b2o9bo2bo36bo4bo68b6o$44bob4o21b3o2b2o103bob
3o32bo4bo7b3o37b5o6b2o62b4o$11b2o18bo13bobo2bo21b3o3bo60b2o37bo5b3o30b
o63b2ob4o18b2o$10b2ob4o13bo16bo25b3o2b2o51b2o5b2ob3o8b2o24bo3bo2b2o18b
2o10bo5bo58b6o17b2ob4o6bo$11b6o31bo2bo23bo2b3o17bo31b2ob3o3b5o7bo2bo
23bo4b2obo16bo2bo10b6o60b4o19b6o5b2o$12b4o10b2o22bo27b2o19bo31b5o4b3o
7bo3b2o27b3o17b3o101b4o6bobo$25b2ob4o38b2ob2o3bo19bo33b3o14bo$26b6o37b
o6b2o71bobo4bo26b3o17b3o80b2o$27b4o39b2ob4o16b3o54bo3b2o22bo4b2obo16bo
2bo10b6o61bo4bo5b4o$75bo16bo29bo55bo3bo2b2o18b2o10bo5bo59bo10b6o$92bo
2b2o23b4obo52bo5b3o30bo65bo5bo3b2ob4o$92b2o26b3o2bo55bob3o32bo4bo7b3o
37b5o7b6o5b2o$58b2o34bo3bo17b3o5b2o55b4o17b2o16b2o9bo2bo36bo4bo$57b2ob
4o14b2o18bo16bob2o44b4o14bo24b2o21b2o2b2o36bo32bo21bobobo$58b6o13b2ob
4o31bo2bobo41b6o35bobo22bo2bo3b2o17bo17bo3bo26b3o18b3obob3o$59b4o15b6o
32bo4bobo37b2ob4o36b2o21bo3bo2bo2bo16bo19bo27b2ob2o17b3obobo2bo$79b4o
38b2o39b2o65b2o3bo2bo85b2o6bo$122bo107bo3bo2bo23bo6b3o33bo17bobo9b2o$
230b2o3b2o34b2o49b3o11bo$186b4o40bo2b2o26bo6bo3bo57bo5b2o$121b4o5b2o
53b6o40bo2bo34b3o61bobo$120b6o3b2ob4o48b2ob4o40b3o5b4o28bo58bob2o$119b
2ob4o4b6o49b2o44bo6b6o7bo78bobo$120b2o9b4o102b2ob4o5bo3bo66bo9b2o$238b
2o8bo20b2o6b6o35bo3bo$227b2o19bo4bo14b2ob3o3bo5bo33bo$210b5o11b2ob4o
15b5o16b5o3bo39bo4bo4b2o$210bo4bo11b6o37b3o5bo4bo33b5o4b2ob3o$210bo17b
4o48b2o45b5o$211bo3bo112b3o$213bo122b2o$335b2ob3o$336b5o$337b3o!
(EDIT) You may also consider simple glider-doubling Y-conduits:

Code: Select all

x = 403, y = 83, rule = B3/S23
368b3o$368bo$369bo6$348b2o$346bo4bo$297b3o45bo$296b5o44bo5bo$295b2ob3o
44b6o5b3o$296b2o58bo$357bo$318b2o$47b4o266b2ob3o51b2o8b6o$46b6o266b5o
50b2ob3o5bo5bo$45b2ob4o267b3o17b3o32b5o5bo$46b2o162b5o36bo87b3o33b3o7b
o4bo$210bo4bo11b2o20bo3bo84bo3b2o43b2o$210bo15b2ob4o15bo20b2o51bo15b3o
2bo$211bo3bo11b6o6b4o5bo4bo14b2ob3o11bo35b3o13bo2b4o45bo$213bo14b4o6b
6o4b5o16b5o10b3o33bobobo12b3o2b2o44bobo$186b4o47b2ob4o26b3o10bobobo32b
o3bo13bo2bo2b2o7bo7b2o24bo3bo3bo$bo2bo180b6o23b2o22b2o43bobobo19b2o9b
2o5b2o4b2o6b2obob2o6b2o7bobo24bobo4bo$o183b2ob4o22bo38bobo26b2ob3ob2o
17b2o8bo4bo4bo3b2o6b6o7bobo7b3o24bo4bo$o3bo26b2o36b4o112b2o25bo38b2obo
25bob2obob2obo25b3o2bobo2b3o10b5o20b2o31bo$4o18bo8b2o35b6o178bob2o23b
2obo5bob2o25bo4bo4bo33bo4bo29b2o$6b3o12b5o6b6o29b2ob4o8b2o128b3o4bo29b
obo3b2o23b2obo3bob2o27b2o5b2o12b2o19bo4bo21b2o2bob4ob2o$6b2ob2o13b2o8b
ob3o29b2o11b2ob4o75b4o51bobo34bo25b3o3b3o30bo3bo14b2o3b2o15bo3bo25bo2b
2ob2o$6b3o13b2o9b4o2bo42b6o66b3o5b6o25b2o22b2o101bobobo13bob2o4b2o13b
2o27bo4bob3ob2o$4o17bo12b2obo2bo42b4o66b5o3b2ob4o24b2o24b2o25bo5bo69b
3o13b2ob2ob2o52b2o$o3bo18bo10b4obo16b3o93b2ob3o4b2o26b3o53b3o2bo64b3o
3bo14b2ob2o6bo47bob2o$o33b6o16bobo94b2o91b3o2bo19b5o63bo6b2o5b2o41b2o$
bo2bo15bobo14bo18b2o31b2o4b2o93b2o79bo4bo5b2o68b2ob4o38bo$12b4o5bo38b
2o33b2o43b3o128bo9b2ob3o66b6o35b3o$11b6o45bo26b2obo39b3o4b5o28b3o42b6o
49bo3bo5b5o67b4o37bo$10b2ob4o41b2ob2o68b5o2b2ob3o27bo4bo40bo5bo50bo8b
3o109bo$11b2o14b4o27b2obo31b2o35b2ob3o3b2o31bo4bo39bo$26b6o25bo2bo32b
2o14b3o19b2o39bo45bo4bo$25b2ob4o25bobo24b2o4b2ob2o14bo2bo65bo$26b2o30b
o24b3o2b6o13b2o2b2o59bo45bo4bo$84bo2b6o14b2o2bob2o57bo4bo39bo$85b4o18b
3o5bo55bo4bo40bo5bo50bo8b3o109bo$86bo21bo2bo3bo23b3o30b3o42b6o49bo3bo
5b5o67b4o37bo$59b4o44b4o4bo22bo3bo128bo9b2ob3o66b6o35b3o$58b6o15b4o30b
2o22bo5bo46b2o79bo4bo5b2o68b2ob4o38bo$57b2ob4o14b6o23bo4bo25b2ob2o103b
3o2bo19b5o63bo6b2o5b2o41b2o$58b2o17b2ob4o24bo3bo49b2o26b3o53b3o2bo64b
3o3bo14b2ob2o6bo47bob2o$78b2o29b3o14b3o3b2o27b2ob4o24b2o24b2o25bo5bo
69b3o13b2ob2ob2o52b2o$162b6o25b2o22b2o101bobobo13bob2o4b2o13b2o27bo4bo
b3ob2o$163b4o51bobo34bo25b3o3b3o30bo3bo14b2o3b2o15bo3bo25bo2b2ob2o$
212b3o4bo29bobo3b2o23b2obo3bob2o27b2o5b2o12b2o19bo4bo21b2o2bob4ob2o$
131b4o117bob2o23b2obo5bob2o25bo4bo4bo33bo4bo29b2o$130b6o49b2o25bo38b2o
bo25bob2obob2obo25b3o2bobo2b3o10b5o20b2o31bo$120b2o7b2ob4o48b2ob4o22bo
38bobo26b2ob3ob2o17b2o8bo4bo4bo3b2o6b6o7bobo7b3o24bo4bo$119b2ob4o4b2o
53b6o23b2o22b2o43bobobo19b2o9b2o5b2o4b2o6b2obob2o6b2o7bobo24bobo4bo$
120b6o60b4o47b2ob4o26b3o10bobobo32bo3bo13bo2bo2b2o7bo7b2o24bo3bo3bo$
121b4o88bo14b4o6b6o4b5o16b5o10b3o33bobobo12b3o2b2o44bobo$211bo3bo11b6o
6b4o5bo4bo14b2ob3o11bo35b3o13bo2b4o45bo$210bo15b2ob4o15bo20b2o51bo15b
3o2bo$210bo4bo11b2o20bo3bo84bo3b2o43b2o$210b5o36bo87b3o33b3o7bo4bo$
319b3o17b3o32b5o5bo$318b5o50b2ob3o5bo5bo$317b2ob3o51b2o8b6o$318b2o$
357bo$296b2o58bo$295b2ob3o44b6o5b3o$296b5o44bo5bo$297b3o45bo$346bo4bo$
348b2o6$369bo$368bo$368b3o!
Possibly the best mechanisms that I can think of are to convert a glider to pre-traffic light and then back to a glider again, e.g.,

Code: Select all

x = 147, y = 29, rule = B3/S23
47b6o$47bo5bo$34b2o11bo$33b4o11bo51bo$32b2ob2o62bo40b6o$33b2o64bo5bo
34bo5bo$4o6b6o4b2o77b6o9b4o10b2o10bo$o3bo5bo5bo2b2ob4o46b2o12b2o25b6o
8b4o10bo$o9bo9b6o45b2ob4o7b2ob2o22b2ob4o7b2ob2o$bo9bo9b4o47b6o8b4o23b
2o12b2o$73b4o10b2o2$3bo$2bo$2bo$2b2o35b6o$4bo34bo5bo$39bo$4bo35bo52bo
13bo$2b2o61b4o23bo13bo26b6o$2bo62bo3bo22bo5bo7bo3bo22bo5bo$2bo62bo26b
6o8b4o11b4o8bo$3bo62bo12b2o39b6o8bo$78b2ob4o34b2ob4o$79b6o35b2o$bo9bo
9b4o55b4o$o9bo9b6o$o3bo5bo5bo2b2ob4o$4o6b6o4b2o!
Then the glider can be repositioned/rephased, converted to herschel, LWSS, various debris, etc.

(EDIT 2x) To start the splitting process, a particular traffic light ancestor is useful:

Code: Select all

x = 100, y = 34, rule = B3/S23
36b6o$19b2o15bo5bo50b6o$17bo4bo2b6o5bo56bo5bo$16bo8bo5bo5bo4bo50bo$16b
o5bo2bo13b2o53bo4bo$9b3o4b6o4bo4bo64b2o$2b2o4b5o15b2o$b4o2b2ob3o57b6o$
2ob2o3b2o60bo5bo$b2o67bo$71bo4bo$9b2o62b2o$5b5o$8o$o8bo$o6b3o$bo$50bo$
48bo3bo$3b2o6b6o30bo$2b2ob3o3bo5bo29bo4bo$3b5o3bo11b2o22b5o$4b3o5bo4bo
3bo4bo37bo$14b2o4bo41bo3bo6b2o$20bo5bo34bo9bo4bo$20b6o4b2o29bo4bo3bo$
29b2ob4o25b5o4bo5bo$30b6o34b6o$31b4o$96b2o$94bo4bo$93bo$93bo5bo$93b6o!
The glider to traffic light conversion is not usable (so far) in this process.

(EDIT 3x) Of course, a traffic light may be usable in its own right:

Code: Select all

x = 63, y = 35, rule = B3/S23
58b2o$57b2ob3o$51bo6b5o$49bo3bo5b3o$43bo4bo$41bo3bo2bo4bo$40bo7b5o$40b
o4bo$34b2o4b5o$33b4o$32b2ob2o$33b2o$4o6b6o4b2o$o3bo5bo5bo2b2ob4o$o9bo
9b6o$bo2bo6bo4bo4b4o$13b2o2$3bo$2bo36b3o$2bo35b5o5b5o$2b2o33b2ob3o5bo
4bo$4bo33b2o8bo$49bo3bo5b3o$4bo46bo6b5o$2b2o53b2ob3o$2bo55b2o$2bo$3bo
2$13b2o$bo2bo6bo4bo4b4o$o9bo9b6o$o3bo5bo5bo2b2ob4o$4o6b6o4b2o!
It looks potentially infinitely splittable.

Code: Select all

x = 26, y = 26, rule = B3/S23
12b3o$11b5o$11b3ob2o$14b2o$18b2o2b4o$20b2o3bo$19bo5bo$24bo$19bo2bo$19b
2o$21bo$5bo7bo4bo4bo$6bo7bo9bo$o5bo2bo4bo4bo4bo$b6o3b5o5b5o2$18bobo$
17bo2bo$18bobo$18b2o$18b2ob5o$25bo$12b3o3bo6bo$11b5o3b2o3bo$11b3ob2o$
14b2o!

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: Flyby Reactions

Post by knightlife » January 2nd, 2010, 1:45 pm

I need a block to pi converter to complete this:

Code: Select all

x = 103, y = 45, rule = B3/S23
88b5o$88bo4bo$88bo$79b6o4bo$79bo5bo5bo$67b2o10bo$23b6o37b2ob3o8bo4bo$
23bo5bo37b5o10b2o$23bo44b3o$24bo4bo$26b2o2$6o$o5bo$o$bo4bo63b2o$3b2o
63bo4bo25b2o$67bo12b4o5b3o5bo4bo$67bo5bo5b6o3b5o3bo$67b6o5b2ob4o2b2ob
3o3bo5bo$o78b2o7b2o6b6o$2o$2bo$2o$o78b2o7b2o6b6o$67b6o5b2ob4o2b2ob3o3b
o5bo$67bo5bo5b6o3b5o3bo$67bo12b4o5b3o5bo4bo$3b2o63bo4bo25b2o$bo4bo63b
2o$o$o5bo$6o2$26b2o$24bo4bo$23bo44b3o$23bo5bo37b5o10b2o$23b6o37b2ob3o
8bo4bo$67b2o10bo$79bo5bo5bo$79b6o4bo$88bo$88bo4bo$88b5o!

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: Flyby Reactions

Post by knightlife » January 2nd, 2010, 1:51 pm

abiessu wrote:It looks potentially infinitely splittable
I agree, glider duplicators are probably the best splitters, but stable splitters are easier to work with due to phase/timing issues.

Jason Summers
Posts: 36
Joined: July 23rd, 2009, 8:08 pm

Re: Flyby Reactions

Post by Jason Summers » January 2nd, 2010, 11:18 pm

Here are some glider duplicators, mostly built from modified glider turners.

I don't know of any general catalog of "flyby" reactions. Such a thing would be useful, but unless the search could be completely automated, might be impractical to create.

Code: Select all

x = 543, y = 433, rule = B3/S23
221b3o$106b3o111bobbo$42b3o60bobbo39boo65boo6bo$41bobbo54bo8bo40boo5b
3o55bobobbo3bo$35bo8bo54boo3bo3bo39bo6bobbo57bo6bo$35boo3bo3bo53bobo3b
o3bo49bo61bobo$34bobo3bo3bo63bo45bo3bo52bo$44bo60bobo46bo3bo51b3o$41bo
bo114bo50boobo$31bo60b3o60bobo51b3o$30b3o58bobbo114b3o$29boobo61bo115b
oo$29b3o58bo3bo63b3o$29b3o58bo3bo63bobbo$30boo62bo63bo$91bobo64bo3bo$
158bo3bo$158bo$159bobo5$206bo$21bo80bo102b3o$20b3o78b3o101boboo$19boob
o77boobo102b3o$19b3o78b3o103b3o$20boo78b3o103boo$101boo3$207bo$206b3o$
205boobo$205b3o$206boo3$159b3o$158bobbo$161bo$157bo3bo$157bo3bo$161bo$
158bobo49$127bo$128boo3b3o59b3o$127boo3bobbo54bo3bobbo$135bo52bobo6bo$
61bo73bo53boobbo3bo$16bo45bo69bobo62bo$14bobo43b3o4b3o124bobo$15boo5b
3o41bobbo$21bobbo44bo$24bo44bo69bo$20bo3bo31b3o7bobo69b3o$24bo31bobbo
78boboo$21bobo32bo82b3o$56bo3bo78b3o$27b3o26bo3bo11b3o64b3o$26bobbo26b
o14bobbo64boo$29bo27bobo14bo$29bo44bo131b3o$26bobo42bobo132bobbo$119bo
86bo$118b3o85bo3bo$118boboo84bo3bo$119b3o84bo$119boo86bobo7$180bo$179b
3o$178boobo$178b3o$178b3o$179boo46$328b3o194b3o$185bo137bo3bobbo70b3o
116bo3bobbo$186boo3b3o127bobo6bo65bo3bobbo114bobo6bo$185boo3bobbo128b
oobbo3bo63bobo6bo64b3o48boobbo3bo$193bo136bo64boobbo3bo59bo3bobbo56bo$
10bo182bo133bobo73bo57bobo6bo53bobo$11boo3b3o171bobo207bobo59boobbo3bo
$10boo3bobbo451bo$18bo226bo221bobo$18bo100bo126boo3b3o$15bobo50bo51boo
3b3o117boo3bobbo$69boo3b3o42boo3bobbo125bo$68boo3bobbo50bo125bo$76bo
50bo122bobo262bo$76bo47bobo387b3o$73bobo438boboo$241bo273b3o$240b3o95b
3o174b3o$131bo70b3o35boboo93bobbo70b3o101boo$80bo49b3o69bobbo35b3o96bo
69bobbo$79b3o48boboo68bo38b3o92bo3bo72bo$79boboo48b3o49bo18bo3bo34b3o
14bo77bo3bo68bo3bo$80b3o48b3o48b3o17bo3bo34boo14b3o80bo68bo3bo$28b3o
49b3o48boo48boobo17bo53boobo55bo21bobo73bo44b3o$27bobbo49boo99b3o19bob
o50b3o55b3o71bo21bobo44bobbo$8bo21bo150b3o72b3o55boboo69b3o70bo$7b3o
16bo3bo103bo46b3o73boo56b3o69boboo65bo3bo18b3o$7boboo15bo3bo52bo49b3o
46boo54b3o74boo71b3o65bo3bo18bobbo$8b3o19bo51b3o48boboo100bobbo147boo
70bo18bo55b3o$8boo17bobo52boboo48b3o103bo216bobo19bo3bo50bobbo$83b3o
25bo22b3o103bo238bo3bo53bo$83b3o24b3o21b3o100bobo239bo53bo3bo$83b3o24b
oboo20boo344bobo50bo3bo$83boo26b3o423bo$111b3o301b3o116bobo$111boo301b
obbo65bo$417bo64b3o$62bo350bo3bo64boboo$20bo40b3o353bo65b3o$19b3o39bob
oo349bobo66b3o$18boobo40b3o418b3o$18b3o41boo419boo$18b3o$19boo305bo$
325b3o$188bo135boobo$187b3o134b3o$187boboo134boo213bo$188b3o348b3o$
188boo349boboo$540b3o$540b3o$540boo38$294b3o$289bo3bobbo122b3o$287bobo
6bo64b3o50bo3bobbo79b3o$288boobbo3bo59bo3bobbo48bobo6bo74bo3bobbo$296b
o57bobo6bo49boobbo3bo72bobo6bo$293bobo59boobbo3bo57bo73boobbo3bo$363bo
54bobo82bo$110b3o247bobo137bobo$110bobbo$105bo4bo$106bo3bo3bo$8bo95b3o
3bo$6bobo102bobo$7boo4b3o100b3o$12bobbo37bo62bobbo96b3o$15bo35bobo62bo
94bo3bobbo$11bo3bo36boo4b3o55bo3bo51b3o34bobo6bo86b3o$15bo41bobbo55bo
3bo46bo3bobbo35boobbo3bo86bobbo121b3o$12bobo45bo55bo48bobo6bo43bo86bo
66b3o55bobbo78b3o$56bo3bo56bobo46boobbo3bo40bobo87bo3bo62bobbo54bo81bo
bbo$60bo113bo130bo3bo62bo57bo3bo77bo$18bo38bobo111bobo48b3o80bo66bo3bo
53bo3bo77bo3bo$17b3o202bobbo80bobo63bo3bo53bo81bo3bo$16boobo202bo149bo
58bobo78bo$16b3o44bo114b3o41bo3bo146bobo137bobo$17boo43b3o112bobbo41bo
3bo78bo$61boobo115bo41bo81b3o$61b3o58bo53bo3bo42bobo77boobo125bo79bo$
bb3o57boo57b3o56bo122b3o99b3o23b3o77b3o$bobbo115boobo53bobo123b3o41b3o
54bobbo23boboo75boobo$4bo115b3o180b3o40bobbo57bo24b3o75b3o$o3bo42b3o
70b3o181boo43bo57bo24b3o75b3o$o3bo41bobbo70b3o226bo54bobo25boo52bo23b
3o$4bo44bo71boo59b3o161bobo136b3o23boo$bobo41bo3bo131bobbo300boboo$45b
o3bo134bo301b3o$49bo130bo3bo301boo$46bobo131bo3bo$25bo158bo159b3o$24b
3o40bo91bo21bobo159bobbo$23boobo39b3o89b3o113b3o69bo$23b3o39boobo89bob
oo112bobbo64bo3bo$23b3o39b3o91b3o112bo71bo$23b3o39b3o91boo46bo22b3o41b
o3bo64bobo$24boo39b3o138b3o21bobbo40bo3bo$66boo138boboo20bo43bo$207b3o
20bo3bo40bobo$207b3o20bo$207b3o21bobo$207boo$104b3o$103bobbo$106bo$
102bo3bo$106bo$103bobo41$270bo$271bo72bo$269b3o73boo$344boo5b3o73bo$
350bobbo74boo$353bo73boo5b3o$349bo3bo79bobbo$265b3o81bo3bo82bo$80b3o
181bobbo85bo78bo3bo$75bo3bobbo115bo68bo82bobo79bo3bo$73bobo6bo54bo61bo
63bo3bo168bo$21b3o50boobbo3bo55bo58b3o63bo3bo165bobo$16bo3bobbo58bo53b
3o128bo70bo$14bobo6bo55bobo182bobo70b3o$15boobbo3bo313boboo80bo$23bo
314b3o79b3o$20bobo170b3o142b3o79boboo$132b3o9b3o45bobbo142boo81b3o$
131bobbo9bobbo47bo85b3o137b3o$134bo9bo46bo3bo85bobbo136boo$130bo3bo9bo
3bo42bo3bo85bo$130bo3bo9bo50bo85bo3bo$89b3o42bo10bobo44bobo86bo3bo$89b
obbo38bobo147bo$89bo192bobo$30b3o56bo$30bobbo56bobo$30bo178b3o142bo$
30bo39b3o136bobbo140b3o$31bobo35bobbo136bo143boboo$72bo55b3o78bo3bo
140b3o$11b3o54bo3bo54bobbo78bo3bo140b3o61b3o$10bobbo54bo3bo57bo78bo
144b3o61bobbo$13bo58bo53bo3bo79bobo141boo62bo$9bo3bo55bobo54bo3bo287bo
3bo$9bo3bo116bo287bo3bo$13bo113bobo288bo$10bobo406bobo$210bo$209b3o$
208boobo$208b3o$209boo147bo$357b3o$356boobo$128bo227b3o$127b3o226b3o$
127boboo226boo$128b3o$128b3o$128b3o$128boo158bo$287b3o$286boobo$286b3o
$287boo$6bo58bo142b3o$5b3o56b3o140bobbo$4boobo55boobo143bo$4b3o56b3o
140bo3bo$4b3o56b3o144bo$4b3o56b3o141bobo$5boo57boo$$267b3o$266bobbo$
269bo152bo$265bo3bo151b3o$269bo151boboo$266bobo153b3o$422b3o$422boo!

Jason Summers
Posts: 36
Joined: July 23rd, 2009, 8:08 pm

Re: Flyby Reactions

Post by Jason Summers » January 3rd, 2010, 12:02 am

Here's a very incomplete, and possibly obsolete, file of "turn into glider" reactions where a passing spaceship convoy turns an object into a glider, or into a ship or traffic light that can be turned into a glider.

Code: Select all

x = 293, y = 302, rule = B3/S23
24bo57bo53bo52bo$12b3o8b3o44b3o8b3o40b3o8b3o39b3o8b3o$12bobbobboobboob
o44bobbobboobboobo40bobbobboobboobo39bobbobboobboobo$12bo5boobb3o45bo
5boobb3o41bo5boobb3o40bo5boobb3o$12bo3bo5b3o45bo3bo5b3o41bo3bo5b3o40bo
3bo5b3o$12bo10boo45bo10boo41bo10boo40bo10boo$13bobo55bobo51bobo50bobo
3$11bo57bo69bo36bo$10b3o55b3o67b3o34b3o$10boboo54boboo65boobo33boobo$
11b3o55b3o65b3o34b3o$11b3o55b3o65b3o34b3o$11boo56boo66b3o35boo$138boo
8$85b3o$85bobbo$85bo$85bo3bo$85bo$86bobo$124bo$34b3o86b3o$34bobbo85bob
oo$34bo89b3o$34bo3bo85boo$34bo3bo$34bo$35bobo$3o$obbo$o$o$bobo8$85bo$
84b3o$84boboo$85b3o$85b3o$85b3o$85boo36$3b3o10b3o20b3o10b3o57b3o41b3o
36b3o17b3o10b3o$3bobbo3boo3bobbo20bobbo3boo3bobbo52bo3bobbo36bo3bobbo
31bo3bobbo16bobbo5bo3bobbo$3bo5bobbo5bo20bo5bobbo5bo51bobo5bo35bobo5bo
30bobo5bo19bo4bobo5bo$3bo3bobbobobo3bo20bo3bobbobobo3bo50bobbobo3bo29b
o4bobbobo3bo29bobbobo3bo15bo3bo3bobbobo3bo$3bo3bo3bo6bo20bo3bo3bo6bo
51boo6bo28b3o4boo6bo30boo6bo19bo4boo6bo$3bo11bobo21bo11bobo57bobo29bob
oo8bobo24bo11bobo17bobo10bobo$4bobo33bobo101b3o34b3o$94b3o47b3o33boobo
$94bobbo46b3o33b3o$94bo21bo27boo34b3o$b3o33bo56bo3bo16b3o63boo$bobbo
31b3o55bo3bo16boboo$bo34boboo54bo21b3o$bo3bo31b3o55bobo18b3o$bo35boo
77b3o$bbobo111boo34$54b3o$15bo38bobbo3boo$b3o10b3o37bo5bobo$bobbo3boo
3boobo37bo3boboo$bo5bobo3b3o38bo15b3o$bo3boboo4b3o39bobo11bobbo$bo11b
3o56bo$bbobo9boo52bo3bo$72bo$69bobo29$43bo$42b3o$42boboo$43b3o$43b3o$
43boo28$134bobo35bobo38bobo37bobo$135bo37bo6b3o31bo39bo$5bo28b3o39b3o
48b3o5bo29b3o5bo6bobbo22b3o5bo31b3o5bo8bo20b3o$4b3o4bobo19bobbo4bobo
31bobbo4bobo40bobbo34bobbo12bo24bobbo36bobbo13b3o18bobbo$3boobo5bo23bo
5bo35bo5bo44bo37bo12bo3bo23bo39bo13boboo20bo$3b3o6bo19bo3bo5bo31bo3bo
5bo40bo3bo12b3o18bo3bo12bo3bo19bo3bo35bo3bo14b3o16bo3bo$3b3o26bo3bo14b
o22bo3bo46bo3bo12bobbo17bo3bo12bo23bo3bo14bo20bo3bo14b3o16bo3bo3b3o$3b
3o30bo13b3o25bo50bo12bo24bo13bobo24bo13b3o23bo14b3o20bo$4boo27bobo14bo
boo21bobo48bobo13bo3bo17bobo38bobo14boboo19bobo15boo18bobo5bo$51b3o88b
o80b3o$51b3o89bobo77b3o$51b3o38bo130b3o$51boo38b3o129boo$90boobo$90b3o
$90b3o$3o88boo$obbo$o$o3bo$o$bobo35$211bo5bobo$179b3o28b3o3bo$17bo41b
3o13b3o93booboobbobbo28boboobbo$4b3o9b3o35bo3bobbo5b3o4bobbo93booboo5b
o29b3obbobbo$4bobbo3boobboobo34bobo5bo4bobbo7bo20b3o16b3o4bo52bo3bo29b
3obb3o$4bo5bobobb3o35bobobo3bo4bo3bobbo3bo20bobbo15bobbo3bobo39bo14bo
29boo$4bo3bobbo3b3o36bo6bobbo3bobo6bo20bo18bo5bobo39b3o10bobo$4bo3bo7b
oo28b3o12bobo8boobbo21bo3bob3o10bo3bo3bo39boboo$4bo40bobbo14bo8b5o21bo
3bobb3o9bo3bo44b3o$5bobo40bo10b3o3bo6boo24bo18bo48b3o$44bo3bo26boo22bo
bo16bobo45b3o$44bo3bo117boo$48bo$45bobo6$156b3o$3bo151bobbo$bb3o153bo$
boobo149bo3bo$b3o150bo3bo$b3o154bo$b3o151bobo$bboo4$bb3o$bobbo$4bo$4bo
$bobo!

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: Flyby Reactions

Post by knightlife » January 3rd, 2010, 3:16 pm

Jason Summers wrote:Such a thing would be useful, but unless the search could be completely automated, might be impractical to create.
An exhaustive search of flyby transformations of small objects and/or spaceships is plausible if limited to one or two flyby *WSS's. I have already bumped into the impractical part, having tried to catalog *WSS/glider collisions. I have complete collections of raw output but gave up trying to sift through results to eliminate duplicates, group results, label and arrange pages of collections. Eliminating duplicates is easy to program, labeling and arranging is not. It can be done, but the fun disappears and it becomes more like work!

Anyway, thanks for your input, it should help me put together a flyby logic gate (definitely doing logic the hard way).

I expect to find other interesting results that branch from the goal such as this (proof-of-concept) flyby quadratic growth pattern:

Code: Select all

x = 2674, y = 44, rule = B3/S23
187bo413bo413bo413bo413bo413bo413bo$173b4o8bo3bo397b4o8bo3bo397b4o8bo
3bo397b4o8bo3bo397b4o8bo3bo397b4o8bo3bo397b4o8bo3bo$172b6o6bo401b6o6bo
401b6o6bo401b6o6bo401b6o6bo401b6o6bo401b6o6bo$171b2ob4o6bo4bo395b2ob4o
6bo4bo395b2ob4o6bo4bo395b2ob4o6bo4bo395b2ob4o6bo4bo395b2ob4o6bo4bo395b
2ob4o6bo4bo$172b2o10b5o397b2o10b5o397b2o10b5o397b2o10b5o397b2o10b5o
397b2o10b5o397b2o10b5o3$141b4o410b4o410b4o410b4o410b4o410b4o410b4o$
140b6o408b6o408b6o408b6o408b6o408b6o408b6o$139b2ob4o74b3o330b2ob4o74b
3o330b2ob4o74b3o330b2ob4o74b3o330b2ob4o74b3o330b2ob4o74b3o330b2ob4o$
140b2o77b5o25bo304b2o77b5o25bo304b2o77b5o25bo304b2o77b5o25bo304b2o77b
5o25bo304b2o77b5o25bo304b2o$31b6o22b2o157b2ob3o23bo3bo193b6o22b2o157b
2ob3o23bo3bo193b6o22b2o157b2ob3o23bo3bo193b6o22b2o157b2ob3o23bo3bo193b
6o22b2o157b2ob3o23bo3bo193b6o22b2o157b2ob3o23bo3bo193b6o22b2o$31bo5bo
20b2ob4o154b2o25bo198bo5bo20b2ob4o154b2o25bo198bo5bo20b2ob4o154b2o25bo
198bo5bo20b2ob4o154b2o25bo198bo5bo20b2ob4o154b2o25bo198bo5bo20b2ob4o
154b2o25bo198bo5bo20b2ob4o$31bo27b6o181bo4bo193bo27b6o181bo4bo193bo27b
6o181bo4bo193bo27b6o181bo4bo193bo27b6o181bo4bo193bo27b6o181bo4bo193bo
27b6o$32bo4bo22b4o147b2o33b5o195bo4bo22b4o147b2o33b5o195bo4bo22b4o147b
2o33b5o195bo4bo22b4o147b2o33b5o195bo4bo22b4o147b2o33b5o195bo4bo22b4o
147b2o33b5o195bo4bo22b4o$6b4o24b2o174b2ob3o204b4o24b2o174b2ob3o204b4o
24b2o174b2ob3o204b4o24b2o174b2ob3o204b4o24b2o174b2ob3o204b4o24b2o174b
2ob3o204b4o24b2o$5b6o200b5o203b6o200b5o203b6o200b5o203b6o200b5o203b6o
200b5o203b6o200b5o203b6o$4b2ob4o201b3o203b2ob4o201b3o203b2ob4o201b3o
203b2ob4o201b3o203b2ob4o201b3o203b2ob4o201b3o203b2ob4o$5b2o412b2o412b
2o412b2o412b2o412b2o412b2o2$207b2o412b2o412b2o412b2o412b2o412b2o$207b
2o412b2o412b2o412b2o412b2o412b2o$2o412b2o412b2o412b2o412b2o412b2o412b
2o$2o412b2o412b2o412b2o412b2o412b2o412b2o2$212b2o412b2o412b2o412b2o
412b2o412b2o$5b3o203b2ob4o201b3o203b2ob4o201b3o203b2ob4o201b3o203b2ob
4o201b3o203b2ob4o201b3o203b2ob4o201b3o$4b5o203b6o200b5o203b6o200b5o
203b6o200b5o203b6o200b5o203b6o200b5o203b6o200b5o$3b2ob3o204b4o24b2o
174b2ob3o204b4o24b2o174b2ob3o204b4o24b2o174b2ob3o204b4o24b2o174b2ob3o
204b4o24b2o174b2ob3o204b4o24b2o174b2ob3o$4b2o33b5o195bo4bo22b4o147b2o
33b5o195bo4bo22b4o147b2o33b5o195bo4bo22b4o147b2o33b5o195bo4bo22b4o147b
2o33b5o195bo4bo22b4o147b2o33b5o195bo4bo22b4o147b2o33b5o$39bo4bo193bo
27b6o181bo4bo193bo27b6o181bo4bo193bo27b6o181bo4bo193bo27b6o181bo4bo
193bo27b6o181bo4bo193bo27b6o181bo4bo$12b2o25bo198bo5bo20b2ob4o154b2o
25bo198bo5bo20b2ob4o154b2o25bo198bo5bo20b2ob4o154b2o25bo198bo5bo20b2ob
4o154b2o25bo198bo5bo20b2ob4o154b2o25bo198bo5bo20b2ob4o154b2o25bo$11b2o
b3o23bo3bo193b6o22b2o157b2ob3o23bo3bo193b6o22b2o157b2ob3o23bo3bo193b6o
22b2o157b2ob3o23bo3bo193b6o22b2o157b2ob3o23bo3bo193b6o22b2o157b2ob3o
23bo3bo193b6o22b2o157b2ob3o23bo3bo$12b5o25bo304b2o77b5o25bo304b2o77b5o
25bo304b2o77b5o25bo304b2o77b5o25bo304b2o77b5o25bo304b2o77b5o25bo$13b3o
330b2ob4o74b3o330b2ob4o74b3o330b2ob4o74b3o330b2ob4o74b3o330b2ob4o74b3o
330b2ob4o74b3o$347b6o408b6o408b6o408b6o408b6o408b6o$348b4o410b4o410b4o
410b4o410b4o410b4o3$379b2o10b5o397b2o10b5o397b2o10b5o397b2o10b5o397b2o
10b5o397b2o10b5o$378b2ob4o6bo4bo395b2ob4o6bo4bo395b2ob4o6bo4bo395b2ob
4o6bo4bo395b2ob4o6bo4bo395b2ob4o6bo4bo$379b6o6bo401b6o6bo401b6o6bo401b
6o6bo401b6o6bo401b6o6bo$380b4o8bo3bo397b4o8bo3bo397b4o8bo3bo397b4o8bo
3bo397b4o8bo3bo397b4o8bo3bo$394bo413bo413bo413bo413bo413bo!
Two things are needed to complete the pattern:
A gun to produce the flyby salvos, and a block needs to be inserted at the start location when the row of blocks move sufficiently forward.
I believe the growth is quadratic because each block is like a rake, producing a glider with each block move forward, and the row of blocks will increase threby adding new "rakes".

Of course the block to block+glider tranformation is not optimized, so a better one is needed to simplify the salvo gun and its period. If a block is moved orthogonally forward, the gun is simplified further since the mirror image salvo will not be needed as is the case here. Also, the block could be replaced with a different object that is easier to transform.

User avatar
abiessu
Posts: 31
Joined: November 6th, 2009, 7:13 pm

Re: Flyby Reactions

Post by abiessu » January 4th, 2010, 11:37 pm

knightlife wrote:I need a block to pi converter to complete this:

Code: Select all

x = 103, y = 45, rule = B3/S23
88b5o$88bo4bo$88bo$79b6o4bo$79bo5bo5bo$67b2o10bo$23b6o37b2ob3o8bo4bo$
23bo5bo37b5o10b2o$23bo44b3o$24bo4bo$26b2o2$6o$o5bo$o$bo4bo63b2o$3b2o
63bo4bo25b2o$67bo12b4o5b3o5bo4bo$67bo5bo5b6o3b5o3bo$67b6o5b2ob4o2b2ob
3o3bo5bo$o78b2o7b2o6b6o$2o$2bo$2o$o78b2o7b2o6b6o$67b6o5b2ob4o2b2ob3o3b
o5bo$67bo5bo5b6o3b5o3bo$67bo12b4o5b3o5bo4bo$3b2o63bo4bo25b2o$bo4bo63b
2o$o$o5bo$6o2$26b2o$24bo4bo$23bo44b3o$23bo5bo37b5o10b2o$23b6o37b2ob3o
8bo4bo$67b2o10bo$79bo5bo5bo$79b6o4bo$88bo$88bo4bo$88b5o!
Here's one (EDIT: corrected!):

Code: Select all

x = 36, y = 25, rule = B3/S23
19b3o$18b5o$17b2ob3o$18b2o13b2o$32b4o$9b6o16b2ob2o$9bo5bo16b2o$9bo$10b
o4bo$5o7b2o$o4bo$o$bo3bo$3bo2$b2o$b2o4$b6o$bo5bo$bo$2bo4bo$4b2o!
(EDIT) And here's a block to traffic splitter:

Code: Select all

x = 54, y = 27, rule = B3/S23
49b2o$48b2ob3o$9b2o33bo4b5o$8b2ob3o28bo3bo3b3o$9b5o27bo$10b3o28bo4bo$
5o36b5o$o4bo$o$bo3bo$3bo2$b2o$b2o4$b6o$bo5bo$bo10b3o$2bo4bo3b5o25b5o$
4b2o4b2ob3o25bo4bo$11b2o28bo$42bo3bo3b3o$44bo4b5o$48b2ob3o$49b2o!
(EDIT x2) Here's the full cycle:

Code: Select all

x = 141, y = 47, rule = B3/S23
128b3o$127b5o$126b2ob3o$119b4o4b2o$118b6o$117b2ob4o$63b4o38b5o8b2o$62b
6o37bo4bo$61b2ob4o37bo$62b2o42bo3bo$108bo$11bo$9bo3bo14b3o9b4o$8bo11b
3o4b5o7b6o$8bo4bo5b5o2b2ob3o6b2ob4o$8b5o5b2ob3o3b2o10b2o$5o14b2o$o4bo
114b2o7bo$o105b2o10bo4bo3bo3bo$bo3bo99b2ob4o5bo8bo8b2o$3bo102b6o5bo5bo
2bo4bo2b2ob4o$107b4o6b6o3b5o4b6o$b2o133b4o$b2o$136b4o$107b4o6b6o3b5o4b
6o$106b6o5bo5bo2bo4bo2b2ob4o$b6o98b2ob4o5bo8bo8b2o$bo5bo98b2o10bo4bo3b
o3bo$bo8b6o104b2o7bo$2bo4bo2bo5bo$4b2o4bo28b2o$11bo4bo21b2ob4o$13b2o
24b6o$40b4o2$108bo$62b2o42bo3bo$61b2ob4o37bo$62b6o37bo4bo$63b4o38b5o8b
2o$117b2ob4o$118b6o$119b4o4b2o$126b2ob3o$127b5o$128b3o!

Code: Select all

x = 26, y = 26, rule = B3/S23
12b3o$11b5o$11b3ob2o$14b2o$18b2o2b4o$20b2o3bo$19bo5bo$24bo$19bo2bo$19b
2o$21bo$5bo7bo4bo4bo$6bo7bo9bo$o5bo2bo4bo4bo4bo$b6o3b5o5b5o2$18bobo$
17bo2bo$18bobo$18b2o$18b2ob5o$25bo$12b3o3bo6bo$11b5o3b2o3bo$11b3ob2o$
14b2o!

User avatar
calcyman
Moderator
Posts: 2932
Joined: June 1st, 2009, 4:32 pm

2c/4 conduits

Post by calcyman » April 24th, 2021, 7:19 am

For example, here's a conduit to translate a block:

Code: Select all

x = 89, y = 22, rule = B3/S23
43bo$41bo3bo$46bo13bo$41bo4bo11bo3bo$42b5o16bo$58bo4bo4b3o$59b5o3b5o$
67b3ob2o$70b2o4$87b2o$87b2o2$69bo$41b3o23bo3bo$b3o36b5o27bo$5o15b4o16b
3ob2o21bo4bo$3ob2o13b6o18b2o23b5o$3b2o14b4ob2o$23b2o!
There seem to be a few other flyby reactions in Michael Simkin's caterloopillars:

Code: Select all

x = 130, y = 66, rule = B3/S23
106b2o$103b3ob2o$103b5o$104b3o6$98bo$96bo3bo$101bo$96bo4bo$97b5o3$80b
5o$79bo4bo$84bo$79bo3bo$81bo10$127b2o$128b2o$127bo18$2b2o$o4bo$6bo$o5b
o$b6o7$12bo$10bo3bo$15bo$10bo4bo$11b5o!
What do you do with ill crystallographers? Take them to the mono-clinic!

ColorfulGabrielsp138
Posts: 288
Joined: March 29th, 2021, 5:45 am

Re: Flyby Reactions

Post by ColorfulGabrielsp138 » May 1st, 2021, 9:25 pm

Pulsar -> Block ( -> Glider )

Code: Select all

x = 29, y = 67, rule = LifeHistory
13.3A$13.A.A$13.3A4$13.3A$13.A.A$13.3A16$.3A21.3A$A2.A21.A2.A$3.A21.A
$3.A21.A$3.A21.A$3.A21.A$2.A23.A30$5.3A$4.A2.A$7.A$7.A$7.A$7.A$6.A!

Code: Select all

x = 21, y = 21, rule = LifeColorful
11.E$10.3E$10.E.2E$13.E4$2.2B$.2B$2B$.2B15.2D$19.2D$18.2D$17.2D4$7.C$
7.2C.C$8.3C$9.C!
I have reduced the glider cost of quadratic growth to eight and probably to seven. Looking for conduits...

GUYTU6J
Posts: 2200
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
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Re: (2c/4) Flyby Reactions

Post by GUYTU6J » May 5th, 2021, 5:33 am

Compared with stable circuitry, much more types of signals and conduits can be involved in 2c/4 fly-by reactions (and 2c/7 and c/10 ones, by the way, but they have their own threads already). However, do we have some appropriate evaluation scheme that can tell whether a particular 2c/4 fly-by reaction is notable or not? Is it limited to obvious ones like small bounding box and small number of spaceships?

(Also, I suggest moving this topic to the Patterns board and change its title so as to specify 2c/4.)

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dvgrn
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Re: (2c/4) Flyby Reactions

Post by dvgrn » May 5th, 2021, 7:24 am

GUYTU6J wrote:
May 5th, 2021, 5:33 am
... do we have some appropriate evaluation scheme that can tell whether a particular 2c/4 fly-by reaction is notable or not? Is it limited to obvious ones like small bounding box and small number of spaceships?

(Also, I suggest moving this topic to the Patterns board and change its title so as to specify 2c/4.)
I've done the name-change and made the move. I suspect small bounding box, relatively few spaceships, and not-too-long reaction time are the three main vague criteria for these things, and any clearer rules will exclude something that someone will sometime find useful.

To All Contributors:
Please Post Stamp Collections More Often Than Individual Patterns

This is another one of those threads, like the one-time turners thread, where there are easily hundreds of thousands of valid reactions out there that meet the basic criteria, and it's really not a good idea for people to get in the habit of posting them one at a time.

It really doesn't make any sense for people to say to themselves, "Oh! I found another 2c/4 flyby reaction! Better document it!" and come here and post that one reaction. The odds of any one posted reaction being useful by itself are pretty much zero -- if thousands of them ended up getting posted, who is going to scroll through hundreds of thread pages and find the right one? ... And notice that what the original post asked for is a catalog of these reactions.

A sensible size of a contribution might be a universal set of reactions -- like, just for example, a set of *WSS flotillas that can be strung together to move a block from (0,0) to any (X,Y), or (to go along with that) a set that can produce any still life with 7 bits or less in any orientation. Then different universal sets that accomplish the same task can meaningfully compete on size, weight, and/or speed.

Jormungant
Posts: 605
Joined: May 27th, 2016, 1:01 am

Re: 2c/4 Flyby Reactions

Post by Jormungant » May 5th, 2021, 8:47 am

I did make myself a little interaction collection, which is not ordered in any way so use with care.

Code: Select all

x = 654, y = 585, rule = LifeHistory
433.3D$434.D214.3D$434.3D213.D$650.3D12$418.6A$417.A5.A210.6A$423.A
209.A5.A$417.A4.A216.A$419.2A7.5A200.A4.A$427.A4.A202.2A7.5A$432.A
210.A4.A$427.A3.A216.A$429.A213.A3.A$645.A$436.2C$436.DC214.2C$652.DC
3$426.6A$425.A5.A210.6A$431.A209.A5.A$315.2A108.A4.A99.3A114.A$312.3A
.2A109.2A100.5A107.A4.A$312.5A212.3A.2A108.2A$313.3A216.2A22$386.2B$
384.6B$383.6B2A$383.2B4AB2A.B.B.A$383.2B6A4BA3BA$383.3B4A10BA$383.12B
A4BA$383.13B5A$383.16B$388.B.B.B.B.B2$411.B2CB$411.C2BC$411.CBC$411.B
C7$411.2D$410.2B2D3B$409.2B2D2B2A$409.2BD3B2A$411.6B$411.6B$412.5B$
413.3B$413.B$412.2A$218.3A191.A$217.5A191.A$199.5A13.3A.2A189.2A$198.
A4.A16.2A$203.A$198.A3.A25.5A$200.A26.A4.A$232.A$227.A3.A$229.A2$229.
2C$225.2C2.2C$225.2C5$353.A$229.D.2D118.A3.C$229.3D6.2A.A114.A$230.D
7.A.2A109.A4.A$352.C4A$231.2A$231.2A2$368.2C$367.CD.C$367.CDC$368.C3$
352.A$350.A3.A$355.A$350.A4.A$351.5A107.A$461.A3.A$466.A$461.A4.A$
230.3D229.5A$230.D239.5A$229.3D237.A4.A$474.A$469.A3.A2$474.2D$473.D
2.D.2C$353.A119.D.D2.2C$351.A3.A118.D$356.A$351.A4.A$352.5A111.6A$
467.A5.A$473.A$467.A4.A$368.2C.2D96.2A$367.C2.C2D$367.C.C$368.C4$349.
6A$348.A5.A$200.D2.D150.A$348.A4.A$125.2A223.2A$121.4A.2A75.D2.D$29.
6A86.6A2.D$28.A5.A87.4A2.D.D77.D$34.A93.D.D75.D$28.A4.A95.D79.2D$30.
2A176.2D5.4A$34.D175.D3.6A$33.D.D95.D82.4A.2A$33.D.D93.D3A85.2A$31.A
2.D95.A2.D$31.2A98.A213.B.B.B.B.A$30.A.A99.D2.D88.5A115.7BA3BA$28.D2.
D90.2A99.A4.A115.12BA$118.4A.2A103.A115.7BA4BA$118.6A11.D2.D84.A3.A
116.8B5A$25.D2.D90.4A102.C118.11B$344.B.B.B.B.B$138.D86.2C$25.D195.2C
2.2C140.B2CB$221.2C144.C2BC$367.CBC$367.BC$367.2D.B$367.2D.B6$326.2B.
B$326.2B.B$326.2B$33.4A289.2B$32.A3.A289.B2.B.B$36.A289.2B.5B$32.A2.A
290.2B.4B2A$34.2D290.2B.B3AB2A$34.2D290.2B.B5A$326.2B.2B3A$32.2A293.B
2.B$31.A.A$30.D2.A$32.D$127.6A$27.D2.D95.A5.A$132.A$126.A4.A$24.D2.D
100.2A221.D2.D10.3A$364.5A$130.A233.3A.2A$125.3D.2A223.D2.D9.2A$129.A
.A.2D$133.2D$357.D2.D$367.2C$366.C2.C$360.D2.D2.C.C$367.C2$363.D2.D2$
365.D2.D$367.2D$359.A7.D.D$357.A3.A$227.2D133.A$223.2D2.2D128.A4.A$
223.2D133.5A$208.6A132.2A$207.A5.A130.A4.A$213.A136.A$134.4A69.A4.A
131.A5.A$133.A3.A71.2A134.6A$28.5A104.A$27.A4.A100.CD.A85.5A$32.A3.2D
95.2D86.A4.A$27.A3.A4.2D100.D87.A$29.A11.D93.2A2.2D80.A3.A$42.2D91.A.
A2D83.A$41.2D92.A$45.D90.D3.D2.D79.2C$43.D175.2C2.2C$138.D2.D77.2C$
19.4A22.D2.D83.2A9.D2.D$18.6A8.3A93.4A.2A$18.4A.2A6.D2.A93.6A7.D2.D
78.2D$22.2A9.A14.D2.D77.4A13.D2.D69.2D2.2D$29.D2.D186.2D2$51.D2.D$26.
D2.D3$23.D2.D3$357.A$355.A3.A$360.A$129.2D224.A4.A$129.2D225.5A4$372.
2C$371.C2.C$134.B236.C.C$132.5B232.D2.C$132.2B5A229.D.D$43.D2.D84.2BA
4BA229.D.D$133.5BA230.D$129.D3.A3BA$40.D2.D86.2D3.A$129.2D$38.D93.3A
221.2A$30.5A5.D91.A220.3A.2A$29.A4.A.3D94.A219.5A$34.A3.D315.3A$29.A
3.A3.D$31.A5$32.3A$31.D2.A2.D$20.6A7.A2.D.D$19.A5.A3.D2.D3.D2.D$25.A
11.2D$19.A4.A$21.2A3.D2.D$137.2D$138.2D$137.D$131.4A$130.A3.A$134.A$
133.A2$187.2A$132.2A49.4A.2A$132.A.A48.6A$132.A51.4A2$126.2A$124.A4BA
3.D$124.6BA.D.D$51.D72.A5BA.D2.D63.5A$19.2B103.B6A2.2D63.A4.A18.2D$
17.6B180.A17.D2.D$16.6B2A24.D2.D146.A3.A19.D.D$16.2B4AB2A.B.B171.A22.
D152.D2.D$16.2B6A7B$16.3B4A5B5A12.D2.D171.2C$16.11BA4BA183.2C2.2C151.
D2.D$16.16BA10.D172.2C$27.A3BA13.D325.2D.D$29.A11.3D326.D.D$43.D328.D
$42.D325.2A$36.2D306.5A16.3A.2A$36.2D305.A4.A16.5A$348.A17.3A$343.A3.
A8.3D3.3D$32.3A310.A9.D3.D.D3.D$34.A320.D3.D.D3.D.2C$33.A321.D3.D.D3.
DC2.C$356.3D3.3D.C.C$367.C$356.3D3.3D$355.D3.D.D3.D$355.D3.D.D3.D$
331.A23.D3.D.D3.D$329.A3.A22.3D3.3D$334.A$329.A4.A$330.5A19.3A$353.5A
$353.3A.2A$356.2A8$207.3A$17.2B2A3B182.5A$16.BA4BAB182.3A.2A$16.7BA
15.2D168.2A$16.BA5BA2.B.B9.D2.D$16.2B6A.6B7.D.D$16.7B2.3B5A6.D$16.B7.
3BA4BA186.2C$16.16BA182.2C2.2C$27.A3BA183.2C.2D$29.A188.2D3$39.D$40.D
165.2A19.D$38.3D161.4A.2A16.D.D$42.D149.2A8.6A18.2D.D$32.3A5.D149.A4.
A7.4A$34.A161.A31.D2.D$33.A8.D2.D144.A5.A$191.6A148.A$231.D2.D108.A3.
A$45.D2.D299.A$343.A4.A$234.D109.5A$48.D3$360.2C$359.C2.C$359.C.C$
360.C2$345.2D$345.2D3$346.2D17.2D$340.5A.2D17.2D$339.A4.A$344.A$339.A
3.A22.2D$341.A24.2D9$2.6A$.A5.A$7.A$.A4.A$3.2A2$.2A$2.2A$.A2$2D.D$.3D
$2.D9$354.5A$353.A4.A$233.D124.A$353.A3.A$355.A$209.3A18.D2.D$208.5A
146.2C.2D$208.3A.2A144.CD.C2D$211.2A14.D2.D127.CDC$359.C$225.2D.D$
224.D.D$221.2C3.D$217.2C2.2C$217.2C5$208.2A134.5A$204.4A.2A132.A4.A$
204.6A138.A$193.4A8.4A14.D119.A3.A$192.6A24.D.D120.A$192.4A.2A23.D2.D
$196.2A25.2D$358.2D$354.2D2.2D$354.2D28$341.12B5A$341.11BA4BA$341.16B
A$348.4BA3BA$348.B.B.B.A2$358.2C$357.C2.C$357.C.C$358.C3$353.2D$353.
2D2$353.2D$353.2D2$341.5B$341.4B2A$341.B3AB2A$341.B5A$341.2B3A$342.B
18$342.12B5A$342.11BA4BA$342.16BA$349.4BA3BA$349.B.B.B.A2$359.2C$358.
C2.C$358.C.C$359.C3$354.2D$354.2D2$354.2D$354.2D26$320.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B$319.38B$319.35B5A$319.34BA4BA$319.39BA$319.34BA
3BA$319.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.A2$359.2C$358.C2.C$358.C.
C$359.C10$355.2D$355.2D$320.B.B$319.4B3A$319.3B5A$319.3B3AB2A$319.6B
2A$319.7B$319.B.B.B!

GUYTU6J
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Re: 2c/4 Flyby Reactions

Post by GUYTU6J » May 5th, 2021, 9:17 am

Wait, another question that needs specifying is whether we should include non-xWSS c/2 spaceships here. Any xWSS emits a dot as tail spark, which may break something when only belly sparks are needed.
At the time of writing, the "fly-by deletion" entry on Life Lexicon wrote:However, some objects are more difficult to delete. For example, deleting a tub appears to require an unusual p4 spaceship.

Code: Select all

	.......................O.........
	......................O.O........
	.......................O.........
	.................................
	.................................
	.................................
	................OOO..............
	OOO.............O..O.............
	O..O....OOO.....O...........OOO..
	O.......O..O....O...O.......O..O.
	O...O..O...O....O...O.......O....
	O......O.O...O..O...........O...O
	.O..OO........O.O...........O...O
	.OOOOO........O.............O....
	....OO......O...OOO..........O.O.
	.OO..............................
The deletion of a pond appears to require a convoy which is 89 cells in width containing a very unusual p4 spaceship which has 273 cells. There are small objects which have no known fly-by deletion reactions. However, as in the case of reanimation, hitting them with the output of rakes is an effective brute force method.
[I wanted to find reference(s) for the statements before "However, as in the case of...", but I couldn't get any. Where did these come from?]

---

EDIT: to get things started, crossposting some jslife collections: (velocity-c2/fanout-2c4 and misc/flyby-toglider have been posted above by the author)
turners-c2-p4-b

Code: Select all

x = 1244, y = 676, rule = B3/S23
720b3o36bo144bo52b3o98bo$65b3o652bo2bo34b3o47b3o45b3o44b3o51bo2bo45b3o
48b3o55b3o44b3o37b3o$65bo2bo325b3o319bo3bo33bo2b2obo42bo3bo2bo40bo3bo
2bo40bo2b2obo47bo3bo43bo3bo2bo44bo2b2obo50bo3bo2bo39bo3bo2bo32bo3bo2bo
$65bo54b3o52b3o56b3o47b3o48b3o55bo2bo155b3o159bobo3bo31bobo2b3o41bobo
6bo38bobo6bo38bobo2b3o46bobo3bo41bobo6bo42bobo2b3o49bobo6bo37bobo6bo
30bobo6bo$17bo43bo3bo49bo3bo2bo47bo3bo2bo51bo3bo2bo42bo3bo2bo43bo3bo2b
o46bo5bo5bo47bo56bo4b3o38bo3bo2bo153b3o4b2o4bobo29b2o3b2o42b2o2bo3bo
39b2o2bo3bo39b2o3b2o42bo4b2o4bobo39b2o2bo3bo43b2o3b2o50b2o2bo3bo38b2o
2bo3bo31b2o2bo3bo$15bobo36b3o2bobo4bobo44bobo6bo45bobo6bo49bobo6bo40bo
bo6bo41bobo6bo45b3o2bobo5bo45bobo49b3o2bobo4bo2bo35bobo6bo152bo2bo95bo
3bo47bo87b3o55bo3bo104bo3bo46bo39bo$10b3o3b2o36bo2bo2b2o52b2o2bo3bo46b
2o2bo3bo50b2o2bo3bo41b2o2bo3bo42b2o2bo3bo44b2obo3b2o2bobo41b3o3b2o48bo
2bo3b2o4bo39b2o2bo3bo155bo99bo44bobo87b2obo59bo108bo43bobo37bobo$10bo
2bo40bo63bo3bo50bo3bo58bo49bo50bo44b3o52bo2bo55bo9bo47bo151bo3bo96bobo
135b3o57bobo106bobo$10bo43bo3bo63bo54bo55bobo47bobo48bobo45b3o52bo54bo
3bo10bobo41bobo152bo3bo54bo180b2o14bo140b3o$10bo3bo8b3o28bo3bo60bobo
52bobo113b3o89b3o52bo3bo50bo3bo213bo37bo15b3o194b3o139bo2bo$10bo3bo7bo
2bo28bo14bo170b3o46bo2bo90b2o52bo3bo54bo44b3o163bobo37b3o13b2obo194bob
2o138bo$10bo14bo29bobo10b3o38b3o52b3o73bo2bo48bo144bo55bobo44bo2bo203b
ob2o12b3o144b3o49b3o138bo$11bobo7bo3bo41b2obo37bo2bo51bo2bo57bo15bo47b
o3bo145bobo68b3o31bo204b3o12b3o29b3o111bo2bo49b3o28b3o108bobo$21bo3bo
41b3o41bo11b3o40bo56b3o14bo3bo43bo3bo105bo109bo2bo27bo3bo204b3o12b3o
29bo2bo113bo49b3o28bo2bo$25bo41b3o37bo3bo11bo2bo35bo3bo15bo39b2obo14bo
51bo104b3o111bo27bo3bo204b3o13b2o29bo112bo3bo49b2o29bo$22bobo42b3o41bo
11bo42bo14b3o38b3o16bobo45bobo32b3o69b2obo107bo3bo31bo204b2o45bo3bo
112bo80bo3bo174b3o$68b2o38bobo12bo3bo35bobo14b2obo38b3o99bo2bo16bo51b
3o108bo3bo28bobo18b3o231bo69bo43bobo81bo158b3o17bo2bo$123bo56b3o39b3o
99bo18b3o50b3o54b3o55bo49bo2bo231bobo65b3o127bobo73bo81bo2bo16bo40b3o$
124bobo53b3o40b2o99bo3bo13b2obo51b2o53bo2bo52bobo50bo302bob2o201b3o80b
o19bo3bo36bo2bo$181b2o141bo17b3o110bo105bo143bo159b3o200b2obo80bo3bo
15bo3bo36bo$294bo30bobo14b3o106bo3bo106bobo139b3o158b3o180b3o17b3o81bo
3bo15bo40bo3bo$293b3o47b2o106bo3bo247b2obo138bo19b2o49bo130bo2bo17b3o
81bo20bobo37bo3bo$292b2obo159bo247b3o138b3o68b3o132bo17b3o82bobo57bo$
292b3o157bobo249b2o138bob2o67bob2o131bo18b2o143bobo$293b2o550b3o68b3o
90b3o35bobo$797bo47b3o68b2o90bo2bo$796b3o46b3o163bo201bo$795b2obo46b2o
160bo3bo200b3o$454bo340b3o213bo199b2obo$453b3o339b3o210bobo200b3o$453b
ob2o338b3o413b3o$454b3o339b2o413b3o$454b2o756b2o11$1102bo$1101b3o$
1100b2obo$1100b3o$1101b2o35$78b3o107b3o93bo46bo117bo54bo$78bo2bo106bo
2bo91b3o44b3o49b3o63b3o52b3o$17bo5bo50bo3bo46bo58bo3bo40bo49bo2b2obo
40bo2b2obo44bo3bo2bo59bo2b2obo48bo2b2obo$10b3o2bobo4b3o47bobo3bo39b3o
2bobo5bo50bobo3bo38bobo47bobo2b3o39bobo2b3o43bobo6bo57bobo2b3o47bobo2b
3o$9bo2bo3b2o4bob2o47b2o4bobo35bo2bo3b2o4b3o50b2o4bobo36b2o4b3o41b2o3b
2o40b2o3b2o44b2o2bo3bo58b2o3b2o48b2o3b2o$12bo10b3o40b3o51bo8b2obo100bo
2bo147bo$8bo3bo10b2o40bo2bo47bo3bo8b3o44b3o57bo144bobo$8bo3bo55bo47bo
3bo9b2o44bo2bo52bo3bo51bo$12bo55bo51bo55bo59bo36bo13b3o165bo310bo97bo
170bo$9bobo53bobo49bobo56bo56bobo36b3o11b2obo98b3o63b3o264b3o41b3o54bo
40b3o61bo58bo47b3o$26bo150bobo92bob2o10b3o98bo2bo63bob2o258bo3bo2bo37b
o2b2obo48bo4b3o35bo2b2obo55bo4b3o51bo4b3o42bo2b2obo43bo58bo40bo$25b3o
106bo138b3o11b2o101bo64b3o52b3o201bobo6bo35bobo2b3o47bobo3b2obo33bobo
2b3o54bobo3b2obo49bobo3b2obo40bobo2b3o42bobo56bobo38bobo$24b2obo105b3o
137b3o110bo3bo47b3o14b3o51bo2bo202b2o2bo3bo36b2o3b2o48b2o3b3o35b2o3b2o
55b2o3b3o51b2o3b3o42b2o3b2o43b2o4b3o44b3o3b2o39b2o4b3o$24b3o106bob2o
107bo28b3o114bo46bo2bo14b3o54bo210bo84b3o9b3o102b3o56b3o97bo2bo44bo2bo
48bo2bo$24b3o107b3o106b3o27b2o112bobo50bo14b2o51bo3bo207bobo84bo2bo9b
3o102b3o56b3o100bo44bo54bo$24b3o34b3o70b3o106bob2o189bo3bo71bo297bo10b
2o103b2o57b2o96bo3bo44bo3bo46bo3bo$25b2o34bo2bo69b3o34b3o70b3o92b3o98b
o68bobo298bo101b3o109bo62bo44bo3bo50bo$61bo72b2o34bo2bo70b3o91bo2bo95b
obo367bobo102bo2bo107b3o58bobo45bo51bobo$61bo3bo107bo70b3o94bo429bo
140bo109b2obo107bobo$61bo3bo103bo3bo70b2o95bo428b3o99bo39bo58b3o48b3o
17bo$61bo107bo3bo164bobo388bo40bob2o97b3o39bobo54bo2bo48b3o16b3o$62bob
o108bo51b3o287b3o210b3o21b3o16b3o96b2obo99bo48b3o15b2obo$170bobo51bo2b
o287bo2bo209bob2o20bo2bo15b3o96b3o96bo3bo49b2o15b3o$227bo287bo213b3o
20bo18b3o31bo65b2o100bo66b3o$223bo3bo287bo213b2o21bo18b2o31b3o163bobo
68b2o34bo$227bo288bobo234bobo47b2obo269b3o$224bobo163bo412b3o270bob2o
117b3o$389b3o411b3o271b3o117bo2bo$389bob2o410b3o271b3o117bo$390b3o411b
2o67bo203b3o21bo95bo$390b3o479b3o202b2o21b3o46bo48bobo$390b3o479bob2o
224bob2o44b3o$390b2o481b3o225b3o44bob2o$873b2o226b2o46b3o$707b3o277b3o
159b3o$706bo2bo222bo53bo2bo159b3o$709bo221b3o55bo159b2o53bo$705bo3bo
221bob2o50bo3bo213b3o$705bo3bo222b3o50bo3bo213bob2o$709bo222b3o54bo
214b3o$706bobo223b2o52bobo215b3o$1204b3o$1204b2o8$339b3o$339bo2bo$339b
o$339bo3bo$339bo3bo$339bo$340bobo12$1131bo$1130b3o$1129b2obo$1129b3o$
1130b2o17$130b3o$130bo2bo186bo190b3o$24b3o48b3o52bo52b3o65b3o65b3o70b
3o46b3o67bo2bo$19bo3bo2bo43bo3bo2bo48bo3bo47bo3bo2bo60bo3bo2bo61bo2b2o
bo65bo3bo2bo41bo3bo2bo63bo3bo$17bobo6bo41bobo6bo41b3o2bobo4bobo42bobo
6bo58bobo6bo59bobo2b3o64bobo6bo39bobo6bo56bo4bobo3bo$18b2o2bo3bo42b2o
2bo3bo40bo2bo3b2o50b2o2bo3bo59b2o2bo3bo60b2o3b2o59b3o3b2o2bo3bo40b2o2b
o3bo55b3o4b2o4bobo$26bo50bo43bo63bo67bo126bo2bo10bo48bo55bob2o$23bobo
48bobo40bo3bo60bobo65bobo56b3o68bo10bobo46bobo57b3o$117bo3bo186bo2bo
68bo3bo115b3o$121bo189bo68bo3bo46bo68b3o$118bobo186bo3bo68bo49b3o67b2o
$311bo69bobo45b2obo$308bobo118b3o$429b3o$430b2o82b3o$14bo126bo371bo2bo
$13b3o124b3o373bo$13bob2o122b2obo50bo318bo3bo$14b3o122b3o50b3o67bo253b
o$14b3o123b2o49b2obo66b3o249bobo209bo249bo129bo$14b2o175b3o66b2obo460b
3o50b3o65b3o60b3o63b3o55b3o69b3o$191b3o48b3o15b3o457bo2b2obo45bo3bo2bo
60bo3bo2bo55bo3bo2bo59bo2b2obo50bo3bo2bo65bo2b2obo$191b3o47bo2bo16b2o
455bobo2b3o44bobo6bo58bobo6bo53bobo6bo57bobo2b3o49bobo6bo63bobo2b3o$
192b2o50bo474b2o3b2o45b2o2bo3bo59b2o2bo3bo54b2o2bo3bo58b2o3b2o50b2o2bo
3bo64b2o3b2o$244bo534bo67bo62bo123bo$241bobo532bobo65bobo60bobo121bobo
2$87b3o370bo322b3o252b3o$87bo2bo368b3o321bo2bo251bo2bo67b3o$87bo370b2o
bo321bo131b3o120bo69bo2bo$34b3o50bo370b3o322bo3bo109b3o15bo2bo119bo3bo
68bo$33bo2bo51bobo368b2o322bo3bo108bo2bo15bo122bo3bo64bo3bo$36bo697bo
48bo115bo15bo3bo64bo53bo68bo3bo$32bo3bo696b3o48bobo108bo3bo15bo67b3o
53bobo69bo$32bo3bo695b2obo118b3o38bo3bo16bobo63b2obo122bobo$36bo695b3o
119bo2bo41bo82b3o$33bobo696b3o119bo41bobo83b3o$376b3o354b2o119bo128b2o
$375bo2bo476bobo$378bo$374bo3bo$378bo$375bobo$335b3o$334bo2bo$337bo
377bo249bo119bo$337bo376b3o247b3o117b3o$334bobo376b2obo247bob2o116bob
2o$713b3o52bo196b3o117b3o$713b3o51b3o195b3o117b2o$713b3o51bob2o194b3o$
714b2o52b3o194b2o$768b3o$161b3o604b3o$161bo2bo603b2o$161bo886b3o$161bo
3bo882bo2bo$161bo3bo882bo$161bo668bo217bo3bo$162bobo664b3o216bo$828b2o
bo217bobo$828b3o$828b3o$829b2o113$20bo76bo37b3o125b3o92bo432bo136bo52b
o52b3o$19b3o74b3o36bo2bo124bo2bo90b3o102b3o44b3o278b3o43b3o42b3o43b3o
50b3o51bo2bo36b3o160bo$15bo2b2obo31bo38bo2b2obo32bo3bo40bo43bo38bo3bo
36bo52bo2b2obo44bo52bo3bo2bo39bo3bo2bo193bo37bo5bo36bo2b2obo38bo3bo2bo
37bo3bo2bo39bo2b2obo46bo2b2obo47bo3bo34bo3bo2bo36bo57bo5bo53bo4b3o$13b
obo2b3o30bobo36bobo2b3o31bobo3bo38bobo41bobo36bobo3bo34bobo50bobo2b3o
43bobo50bobo6bo37bobo6bo191bobo36b3o2bobo34bobo2b3o37bobo6bo35bobo6bo
37bobo2b3o45bobo2b3o46bobo3bo32bobo6bo34bobo56b3o2bobo51bobo3b2obo$14b
2o3b2o31b2o4b3o30b2o3b2o32b2o4bobo30b3o3b2o36b3o3b2o32bo4b2o4bobo32b2o
4b3o44b2o3b2o44b2o4b3o44b2o2bo3bo38b2o2bo3bo186b3o3b2o4b3o28b2obo3b2o
4b3o28b2o3b2o38b2o2bo3bo36b2o2bo3bo38b2o3b2o46b2o3b2o47b2o4bobo30b2o2b
o3bo35b2o4b3o48b2obo3b2o4b3o45b2o3b3o$57bo2bo108bo2bo40bo2bo35b3o49bo
2bo100bo2bo52bo46bo186bo2bo7bo2bo28b3o9bo2bo81bo44bo192bo40bo2bo48b3o
9bo2bo50b3o$9b3o48bo108bo43bo37b2obo52bo103bo49bobo44bobo187bo13bo28b
3o12bo78bobo42bobo190bobo44bo48b3o12bo38b3o9b3o$8bo2bo44bo3bo77bo30bo
3bo39bo3bo33b3o49bo3bo99bo3bo286bo3bo5bo3bo28b3o8bo3bo266bo92bo3bo48b
3o8bo3bo37bo2bo10b2o$11bo48bo76b3o29bo3bo39bo3bo34b2o53bo56bo46bo286bo
3bo9bo29b2o12bo22b3o240b3o95bo49b2o12bo40bo$7bo3bo45bobo25b3o49bob2o
28bo43bo90bobo56b3o42bobo287bo10bobo41bobo22bo2bo59b3o177b2obo92bobo
61bobo41bo$7bo3bo53bo18bo2bo50b3o29bobo41bobo145b2obo333bobo79bo58bo2b
o126bo50b3o198bobo$11bo52b3o20bo50b3o205b3o13b3o86b3o323bo3bo61bo88b3o
34b3o49b3o215b3o$8bobo52b2obo16bo3bo50b2o205bo2bo13b3o85bo2bo323bo3bo
57bo3bo87bo2bo34bob2o49b2o215bo2bo$63b3o17bo3bo14b3o243bo13b3o88bo327b
o14b3o25bo14bo3bo90bo35b3o90b3o173bo$22b3o39b2o21bo14bo2bo78b3o129bo
27bo3bo14b2o84bo3bo324bobo15bo2bo23b3o17bo46bo39bo3bo35b3o90bo2bo172bo
3bo$22bo2bo58bobo15bo63b3o14bo2bo27b3o98b3o26bo3bo100bo3bo17bo324bo26b
ob2o13bobo46b3o42bo35b3o15b3o72bo20bo154bo3bo$22bo27bo51bo62bo2bo17bo
27bo2bo97bob2o29bo104bo16b3o45bo277bo3bo23b3o61b2obo39bobo36b2o16bo2bo
71bo3bo15b3o153bo$22bo3bo22b3o51bobo62bo13bo3bo27bo101b3o26bobo54bo47b
obo17bob2o43b3o174b3o99bo27b3o61b3o97bo74bo19bob2o24bo128bobo$22bo25b
2obo112bo3bo13bo3bo27bo3bo11bo85b2o83b3o67b3o43bob2o173bo2bo99bobo24b
3o61b3o97bo3bo71bobo17b3o23b3o$23bobo22b3o113bo3bo17bo27bo14b3o35bo
132b2obo18b3o46b3o44b3o173bo129b2o63b2o97bo95b2o23b2obo$48b3o87b3o27bo
14bobo29bobo10b2obo34b3o131b3o18bo2bo46b2o45b3o173bo3bo174bo115bobo29b
3o85b3o$49b2o86bo2bo24bobo60b3o35bob2o26b3o101b3o21bo73b3o17b2o174bo3b
o173b3o146bo2bo84b3o20b3o$140bo87b3o36b3o25bo2bo102b2o21bo72bo2bo193bo
47b3o126b2obo146bo88b2o19bo2bo35b3o$136bo3bo88b2o36b3o28bo122bobo76bo
194bobo43bo2bo126b3o147bo3bo108bo34bo2bo$136bo3bo126b3o24bo3bo201bo
243bo126b3o147bo3bo104bo3bo37bo$140bo126b2o29bo198bobo240bo3bo126b3o
147bo112bo33bo3bo$137bobo155bobo442bo3bo127b2o148bobo106bobo34bo3bo$
744bo427bo$741bobo425bobo52$53bo42bo39bo133bo82bo79bo37bo$10b3o39b3o
40b3o37b3o38b3o44b3o43b3o41b3o36b3o45b3o29b3o35b3o$5bo3bo2bo35bo2b2obo
36bo2b2obo33bo2b2obo33bo3bo2bo39bo3bo2bo39bo2b2obo36bo3bo2bo32bo2b2obo
40bo3bo2bo25bo2b2obo31bo2b2obo$3bobo6bo33bobo2b3o35bobo2b3o32bobo2b3o
32bobo6bo37bobo6bo37bobo2b3o35bobo6bo30bobo2b3o39bobo6bo23bobo2b3o30bo
bo2b3o$4b2o2bo3bo34b2o3b2o36b2o3b2o33b2o3b2o33b2o2bo3bo38b2o2bo3bo38b
2o3b2o36b2o2bo3bo31b2o3b2o40b2o2bo3bo24b2o3b2o31b2o3b2o$12bo165bo46bo
89bo86bo$9bobo163bobo44bobo87bobo84bobo2$17bo693b3o152bo100bo199bo55bo
$16b3o418b3o35b3o233bo2bo107b3o40b3o98b3o47b3o147b3o53b3o$16bob2o82b3o
37b3o114bo98b3o76bo2bo33bo2bo229bo3bo45bo59bo3bo2bo36bo2b2obo42bo51bo
2b2obo42bo3bo2bo47bo45bo49bo2b2obo49bo2b2obo$17b3o81bo2bo36bo2bo20b3o
90b3o97bo2bo75bo39bo227bobo3bo43bobo57bobo6bo34bobo2b3o41bobo49bobo2b
3o41bobo6bo45bobo43bobo47bobo2b3o48bobo2b3o$17b3o84bo39bo19bo2bo89b2ob
o97bo78bo35bo3bo228b2o4bobo35b3o3b2o58b2o2bo3bo35b2o3b2o36b3o3b2o50b2o
3b2o42b2o2bo3bo40b3o3b2o38b3o3b2o48b2o3b2o49b2o3b2o$17b2o81bo3bo35bo3b
o22bo89b3o19bo78bo3bo75bobo36bo223bo48bo2bo66bo3bo78bo2bo111bo40bo2bo
42bo2bo$104bo39bo18bo3bo89b3o18b3o77bo115bobo223b3o47bo73bo78bo111bobo
41bo45bo$101bobo37bobo19bo3bo17bo71b3o17b2obo78bobo338bob2o46bo3bo10bo
46bo8bobo79bo3bo151bo3bo41bo3bo$64bo21bo80bo16b3o71b2o17b3o421b3o13b3o
30bo3bo9b3o44b3o89bo3bo151bo3bo41bo3bo$63b3o19b3o76bobo17bob2o89b3o
111bo86b3o220b3o13bo2bo29bo13bob2o42b2obo56b3o30bo14b3o138bo45bo$63bob
2o18bob2o96b3o45b3o42b2o110b3o84bo2bo220b2o14bo33bobo11b3o42b3o56bo2bo
31bobo11bo2bo51b3o84bobo43bobo121bo$64b3o19b3o35b3o58b3o44bo2bo125bo
28bob2o47bo38bo236bo47b3o42b3o59bo45bo53bo2bo253b3o$64b3o19b3o35bo2bo
57b2o48bo124b3o28b3o46b3o33bo3bo237bobo44b2o44b2o55bo3bo45bo3bo52bo
252b2obo$44bo19b3o19b2o36bo106bo3bo67b3o53b2obo28b3o45b2obo33bo3bo391b
o45bo3bo48bo3bo252b3o$43b3o18b2o58bo3bo102bo3bo66bo2bo53b3o29b2o46b3o
38bo388bobo46bo56bo253b2o$43bob2o77bo110bo69bo53b3o77b3o35bobo439bobo
50bobo100b3o43b3o$44b3o78bobo82bo21bobo66bo3bo18b3o32b3o77b3o409bo174b
o47bo2bo42bo2bo54bo$44b3o162b3o89bo3bo18bo2bo32b2o78b2o329b3o76b3o172b
3o49bo45bo53b3o$44b2o163bob2o92bo18bo445bo2bo76bob2o170b2obo45bo3bo41b
o3bo53bob2o51b3o$210b3o89bobo19bo3bo61b3o380bo77b3o101b3o66b3o46bo3bo
41bo3bo54b3o51bo2bo$210b2o112bo3bo60bo2bo380bo77b3o100bo2bo66b3o50bo
45bo33b3o18b3o51bo$324bo67bo377bobo78b3o103bo66b3o47bobo43bobo34bo2bo
17b3o51bo$325bobo60bo3bo458b2o104bo67b2o130bo20b2o53bobo$14b3o375bo
561bobo200bo3bo$14bo2bo371bobo765bo3bo$14bo986b3o153bo$14bo3bo982bo2bo
153bobo$14bo3bo982bo$14bo986bo$15bobo793b3o188bobo72b3o$810bo2bo263bo
2bo41b3o$813bo106b3o154bo43bo2bo$809bo3bo106bo2bo153bo3bo42bo$809bo3bo
106bo156bo3bo42bo$813bo106bo3bo152bo43bobo$810bobo107bo3bo153bobo$920b
o$921bobo45$329bo204bo$66bo42bo37b3o135b3o40b3o80b3o35b3o39b3o39b3o$
12bo47bo4b3o35bo4b3o31bo3bo2bo44bo41bo43bo3bo2bo36bo2b2obo34bo40bo3bo
2bo30bo3bo2bo34bo3bo2bo35bo2b2obo$10bobo45bobo3b2obo33bobo3b2obo29bobo
6bo42bobo39bobo41bobo6bo34bobo2b3o33bobo38bobo6bo28bobo6bo32bobo6bo33b
obo2b3o$5b3o3b2o46b2o3b3o35b2o3b3o31b2o2bo3bo37b3o3b2o34b3o3b2o42b2o2b
o3bo35b2o3b2o34b2o4b3o32b2o2bo3bo29b2o2bo3bo33b2o2bo3bo34b2o3b2o$5bo2b
o55b3o40b3o39bo37bo2bo38bo2bo54bo81bo2bo36bo3bo33bo3bo41bo$5bo58b3o40b
3o36bobo38bo41bo54bobo85bo40bo37bo38bobo$5bo3bo55b2o41b2o77bo3bo37bo3b
o134bo3bo37bobo26bo8bobo$5bo3bo84b3o39b3o48bo3bo37bo3bo138bo65b3o520bo
52bo148b3o48bo$5bo88bo2bo37bo2bo48bo41bo139bobo65b2obo57bo209b3o55b3o
45b3o91b3o49b3o50b3o45b3o98bo2bo47b3o$6bobo85bo43bo49bobo39bobo11bo
192b3o57b3o40b3o160bo3bo2bo50bo3bo2bo40bo3bo2bo42bo43bo3bo2bo45bo2b2ob
o46bo2b2obo40bo3bo2bo46bo48bo5bo43bo2b2obo$51b3o40bo39bo3bo104b3o92bo
98b3o56b2obo39bo2bo158bobo6bo48bobo6bo38bobo6bo40bobo41bobo6bo43bobo2b
3o45bobo2b3o39bobo6bo44bobo41b3o2bobo5bo41bobo2b3o$50bo2bo41bobo36bo3b
o103b2obo91b3o35bo62b2o56b3o43bo159b2o2bo3bo49b2o2bo3bo39b2o2bo3bo35b
3o3b2o42b2o2bo3bo44b2o3b2o46b2o3b2o40b2o2bo3bo45b2o4b3o33bo2bo3b2o2bob
o43b2o3b2o$53bo84bo18b3o82b3o91b2obo34b3o103b3o14b2o39bo3bo167bo57bo
47bo35bo2bo54bo152bo50bo2bo36bo$49bo3bo81bobo19bo2bo82b2o91b3o34b2obo
103bo2bo58bo164bobo55bobo45bobo36bo54bobo150bobo54bo32bo3bo$49bo3bo
103bo29bo148b3o34b3o23bo80bo40b3o15bobo310bo3bo109b3o144bo3bo32bo3bo$
53bo103bo3bo24b3o147b3o35b2o22b3o53b3o23bo3bo35bo2bo328bo3bo57b3o48bo
2bo50bo97bo36bo48bo$50bobo104bo3bo24bob2o106b3o38b2o59bob2o51bo2bo23bo
42bo328bo14b3o44bo2bo50bo49b3o46b3o44bobo34bobo48b3o$22bo134bo29b3o
106bo2bo99b3o54bo24bobo35bo3bo329bobo11bo2bo43bo49bo3bo48b2obo45bo2bo
131b2obo16bo$21b3o134bobo26b3o106bo62b3o37b3o50bo3bo62bo3bo343bo46bo3b
o45bo3bo48b3o49bo131b3o16b3o$21bob2o162b3o106bo3bo57bo2bo37b3o50bo3bo
66bo343bo3bo42bo3bo49bo49b2o45bo3bo131b3o16bob2o$22b3o88b3o71b2o107bo
3bo60bo37b2o55bo63bobo344bo3bo42bo50bobo101bo131b3o17b3o$22b3o88bo2bo
179bo60bo3bo91bobo318b3o90bo47bobo148bobo133b2o17b2o$22b3o25bo62bo183b
obo57bo3bo411bo2bo91bobo252b3o$22b2o25b3o61bo3bo243bo414bo345bo2bo51bo
$49bob2o60bo3bo85bo154bobo415bo348bo50b3o$50b3o60bo88b3o568bobo345bo3b
o50bob2o$50b3o61bobo85bob2o915bo3bo51b3o$50b2o151b3o65b3o851bo51b2o$
203b3o64bo2bo46bo377b3o54b3o46b3o315bobo$203b2o39b3o26bo45b3o376bo2bo
53bo2bo44bo2bo64bo236bo$243bo2bo26bo44b2obo376bo56bo50bo63b3o234b3o$
246bo23bobo45b3o377bo3bo17bo34bo46bo3bo62b2obo233b2obo$242bo3bo71b3o
377bo3bo16b3o34bobo43bo3bo62b3o131b3o100b3o$21b3o222bo71b3o377bo19b2ob
o84bo63b2o100bo30bo2bo41b3o55b3o$20bo2bo219bobo73b2o378bobo16b3o82bobo
165b3o29bo44bo2bo55b2o$23bo695b2o249b2obo29bo3bo40bo$19bo3bo804b3o139b
3o30bo44bo3bo$19bo3bo803bo2bo91b3o45b3o31bobo41bo3bo$23bo806bo91bo2bo
45b2o75bo$20bobo803bo3bo91bo126bobo$830bo91bo3bo$398bo428bobo92bo$397b
3o523bobo$397bob2o$398b3o$398b3o$398b2o53$16bo174bo156bo$15b3o38b3o79b
3o49b3o65b3o48bo37b3o$11bo2b2obo33bo3bo2bo33bo40bo3bo2bo45bo2b2obo60bo
3bo2bo42bo4b3o32bo2b2obo48bo44bo59bo$9bobo2b3o32bobo6bo31bobo38bobo6bo
43bobo2b3o59bobo6bo40bobo3b2obo30bobo2b3o47bobo42bobo57bobo$10b2o3b2o
33b2o2bo3bo26b3o3b2o39b2o2bo3bo44b2o3b2o60b2o2bo3bo41b2o3b3o32b2o3b2o
48b2o4b3o36b2o4b3o51b2o4b3o$58bo26bo2bo51bo115bo3bo46b3o27bo64bo2bo41b
o2bo56bo2bo$55bobo27bo51bobo40b3o77bo46b3o26b3o66bo44bo59bo$85bo3bo89b
o2bo74bobo48b2o25b2obo62bo3bo40bo3bo55bo3bo$20b3o62bo3bo55bo36bo152b3o
67bo44bo59bo465bo43bo57bo$19bo2bo62bo58b3o31bo3bo152b3o55bo8bobo42bobo
57bobo309b3o40b3o110b3o41b3o55b3o46b3o49b3o47b3o$22bo63bobo55bob2o34bo
153b2o54b3o320bo43bo54bo3bo2bo35bo3bo2bo58bo47bo2b2obo37bo2b2obo51bo2b
2obo41bo3bo2bo44bo3bo2bo42bo3bo2bo$18bo3bo122b3o31bobo112b3o95bob2o
317bobo41bobo52bobo6bo33bobo6bo56bobo45bobo2b3o36bobo2b3o50bobo2b3o40b
obo6bo42bobo6bo40bobo6bo$22bo122b3o145bo2bo96b3o312b3o3b2o42b2o4b3o46b
2o2bo3bo34b2o2bo3bo57b2o4b3o39b2o3b2o37b2o3b2o51b2o3b2o41b2o2bo3bo37b
3o3b2o2bo3bo41b2o2bo3bo$19bobo42b3o78b2o149bo96b3o312bo2bo51bo2bo54bo
42bo62bo2bo34bo162bo37bo2bo10bo49bo$64bo2bo33bo143b3o44bo3bo96b2o313bo
57bo51bobo40bobo66bo33b3o158bobo38bo10bobo47bobo$64bo35b3o141bo2bo48bo
411bo3bo49bo3bo159bo3bo32b2obo199bo3bo$64bo34b2obo144bo45bobo412bo3bo
53bo163bo32b3o116b3o81bo3bo$47bo17bobo31b3o141bo3bo253bo206bo15bo38bob
o152bo8bobo33b3o115bo2bo48bo32bo$2bo43b3o50b3o141bo3bo212b3o37b3o206bo
bo11b3o191b3o44b2o118bo47b3o32bobo$b3o41b2obo50b3o145bo212bo2bo35b2obo
220bob2o44b3o143bob2o107bo51bo3bo47bob2o$2obo41b3o52b2o142bobo213bo38b
3o222b3o44bo2bo143b3o106b3o54bo48b3o$3o42b3o412bo38b3o222b3o44bo146b3o
105b2obo51bobo49b2o$b2o42b3o413bobo36b2o222b2o45bo3bo142b2o106b3o$46b
2o723bo3bo52b3o41bo154b2o$771bo56bo2bo39b3o$772bobo53bo42bob2o$465b3o
360bo43b3o$293bo171bo2bo259bo100bobo40b2o345bo$292b3o170bo261b3o488b3o
$292bob2o169bo260b2obo79b3o406bob2o$293b3o170bobo257b3o79bo2bo217b3o
187b3o$207bo85b3o431b2o82bo217bo2bo186b3o$206b3o84b3o511bo3bo217bo189b
2o$205b2obo84b2o512bo3bo61b3o153bo3bo$205b3o302bo300bo61bo2bo152bo3bo$
205b3o301b3o296bobo62bo155bo$205b3o301bob2o360bo3bo152bobo$206b2o302b
3o360bo3bo205bo$510b2o361bo208b3o$874bobo204b2obo$352b3o418bo307b3o$
352bo2bo53bo362b3o306b3o$352bo55b3o360b2obo307b2o$101bo25bo224bo3bo50b
2obo360b3o$100b3o23b3o223bo54b3o361b3o406bo$100bob2o22bob2o223bobo51b
3o362b2o405b3o$101b3o23b3o278b2o725b3o40b2obo$101b3o23b3o1004bo2bo40b
3o$101b3o23b2o1008bo40b3o33b3o$101b2o143b3o884bo3bo41b2o33bo2bo$245bo
2bo884bo3bo76bo$248bo888bo76bo$244bo3bo733bo151bobo78bobo$244bo3bo732b
3o$248bo685b3o44bob2o$245bobo686bo2bo44b3o$934bo47b2o$934bo$935bobo!
turners-c2-p4-f

Code: Select all

x = 780, y = 349, rule = B3/S23
632b3o$500bo38bo91bo2bo$119bo49bo45bo283b3o36b3o85b2o6bo$71b3o44b3o47b
3o43b3o282bob2o35bob2o44b3o36bobo2bo3bo42b3o39b3o45b3o$24b3o43bo2bo44b
ob2o46bob2o42bob2o36b3o50b3o38b3o149b3o36b3o43bo2bo38bo6bo41bo2bo38bo
2bo44bo2bo$23bo2bo38b2o6bo45b3o47b3o43b3o35bo2bo49bo2bo37bo2bo142b2o5b
3o29b2o5b3o38b2o6bo42bobo37b2o6bo33b2o6bo39b2o6bo$18b2o6bo37bobo2bo3bo
38b2o5b3o40b2o5b3o36b2o5b3o30b2o6bo44b2o6bo32b2o6bo141bobo5b3o28bobo5b
3o37bobo2bo3bo81bobo2bo3bo32bobo2bo3bo38bobo2bo3bo$17bobo2bo3bo39bo6bo
37bobo5b3o39bobo5b3o35bobo5b3o29bobo2bo3bo43bobo2bo3bo31bobo2bo3bo143b
o5b2o31bo5b2o40bo6bo83bo6bo34bo6bo40bo6bo$19bo6bo43bobo40bo5b2o42bo5b
2o38bo5b2o32bo6bo45bo6bo33bo6bo234bobo48bo39bobo39bobo45bobo$23bobo
227bobo50bobo38bobo137b3o36b3o106b3o$106b3o92bo284bo2bo35bo2bo105b2obo
$61bo43bo2bo62bo28b3o286bo38bo61bo43b3o$14bo45b3o45bo61b3o27bob2o281bo
3bo34bo3bo60b3o42b3o29b3o$13b3o44bob2o44bo12b3o45b2obo28b3o53b3o229bo
38bo47bo11b2obo29bo12b3o28bo2bo53b3o$13bob2o11bo32b3o41bobo12bo2bo45b
3o29b3o53bo2bo35b3o187bobo36bobo47b3o10b3o29b3o12b2o31bo53bo2bo44b3o$
14b3o10b3o31b3o59bo46b2o29b3o53bo37bo2bo38b3o234b2obo10b3o29bob2o40bo
3bo53bo46bo2bo$14b3o10bob2o30b3o12bo42bo3bo77b2o54bo3bo36bo38bo2bo233b
3o11b3o30b3o40bo3bo53bo49bo$14b3o11b3o30b2o12b3o45bo25b3o105bo3bo36bo
38bo237b2o12b2o30b3o44bo54bobo46bo$14b2o12b2o44b2obo42bobo26bo2bo104bo
37bobo39bo145b3o135b3o41bobo101bobo$74b3o72bo108bobo77bobo142bo2bo134b
2o$74b3o72bo333bo$74b3o73bobo330bo$75b2o407bobo$727b3o$291b3o432bo2bo
45b3o$291bo2bo37b3o394bo45bo2bo$291bo39bo2bo390bo3bo45bo$291bo3bo38bo
328bo61bo3bo45bo3bo$262bo28bo3bo34bo3bo327b3o64bo45bo3bo$261b3o27bo38b
o3bo326b2obo61bobo46bo$261bob2o27bobo39bo196b3o127b3o112bobo$262b3o66b
obo196bo2bo128b2o$262b2o269bo$533bo$530bobo38$22bo98bo$21b3o96b3o$21bo
b2o39b3o53bob2o44b3o$22b3o38bo2bo54b3o43bo2bo$15b2o5b3o33b2o6bo47b2o5b
3o38b2o6bo$9bo4bobo5b3o32bobo2bo3bo46bobo5b3o37bobo2bo3bo$8b3o5bo5b2o
35bo6bo48bo5b2o40bo6bo$8bob2o51bobo39b3o59bobo$9b3o93bo2bo49bo$9b2o94b
o51b3o$105bo50b2obo$67bo38bobo47b3o$66b3o87b3o$66bob2o87b2o$67b3o$52bo
14b2o$51b3o$50b2obo$50b3o$50b3o499bo52bo55bo$50b3o498b3o50b3o53b3o$51b
2o438b3o57bob2o49bob2o52bob2o$490bo2bo58b3o50b3o53b3o$27bo457b2o6bo51b
2o5b3o43b2o5b3o46b2o5b3o$26b3o455bobo2bo3bo50bobo5b3o42bobo5b3o45bobo
5b3o$26bob2o123bo332bo6bo52bo5b2o45bo5b2o48bo5b2o$27b3o122b3o335bobo
43b3o$27b3o122bob2o380bo2bo$27b2o124b3o380bo106b3o$153b3o380bo72bo32bo
2bo$153b2o327bo54bobo45b3o20b3o34bo$481b3o101bo2bo18b2obo34bo$99bo380b
2obo101bo21b3o32bobo$98b3o379b3o102bo3bo17b3o$97b2obo380b2o14bo87bo3bo
17b3o$97b3o396b3o86bo22b2o$97b3o396bob2o86bobo$97b3o397b3o$98b2o397b3o
$497b3o$497b2o7$531b3o$530bo2bo$533bo$533bo$530bobo22$643b3o$642bo2bo$
645bo$645bo$642bobo91$625bo140bo$624b3o138b3o$16b3o43b3o33b3o86b3o434b
ob2o39b3o38b3o54bob2o$15bo2bo42bo2bo32bo2bo42bo42bo2bo340b3o40bo51b3o
38bo2bo37bo2bo55b3o$10b2o6bo37b2o6bo27b2o6bo35b2o4b3o36b2o6bo297b3o39b
o2bo33b2o4b3o43b2o5b3o33b2o6bo32b2o6bo48b2o5b3o$9bobo2bo3bo36bobo2bo3b
o26bobo2bo3bo34bobo3b2obo35bobo2bo3bo296bo2bo34b2o6bo32bobo3b2obo42bob
o5b3o32bobo2bo3bo31bobo2bo3bo47bobo5b3o$11bo6bo38bo6bo28bo6bo36bo3b3o
38bo6bo291b2o6bo33bobo2bo3bo34bo3b3o45bo5b2o35bo6bo33bo6bo49bo5b2o$15b
obo43bobo33bobo41b3o42bobo291bobo2bo3bo35bo6bo38b3o92bobo38bobo$141b3o
338bo6bo39bobo39b3o$142b2o342bobo83b2o$131bo$130b3o45bo532bo$67bo62bob
2o43b3o395bo28b3o103b3o$6bo45bo13b3o62b3o42b2obo339bo54b3o27bo2bo102bo
b2o$5b3o13b3o27b3o11b2obo33bo28b3o42b3o339b3o13bo38b2obo27bo52bo53b3o$
5bob2o12bo2bo26bob2o10b3o33b3o27b2o44b2o312bo26bob2o11b3o37b3o28bo51b
3o52b2o$6b3o12bo30b3o10b3o33bob2o369b3o13b3o26b3o10b2obo37b3o29bobo47b
2obo86bo$6b3o12bo3bo26b3o10b3o34b3o368bo2bo12b2obo26b3o10b3o38b3o79b3o
86b3o$6b3o12bo3bo26b3o11b2o34b3o371bo12b3o27b3o10b3o39b2o79b3o85b2obo$
6b2o13bo30b2o48b2o368bo3bo12b3o27b2o11b3o88b3o30b2o85b3o$22bobo447bo3b
o12b3o41b2o87bo2bo118b2o$146b3o327bo13b2o133bo$145bo2bo324bobo85b3o57b
o3bo$148bo412bo2bo60bo$144bo3bo412bo60bobo$148bo412bo3bo$145bobo44bo
368bo135bo$102b3o86b3o368bobo90b3o38b3o$101bo2bo86bob2o460bo2bo36b2obo
$104bo87b3o460bo39b3o$100bo3bo87b3o460bo3bo35b3o$100bo3bo87b3o460bo3bo
35b3o$104bo87b2o461bo40b2o44bo$101bobo552bobo82b3o$740b2obo$740b3o$
740b3o$741b2o33$53bo52bo53bo$52b3o50b3o51b3o$52bob2o49bob2o50bob2o$8bo
44b3o50b3o51b3o$b2o4b3o36b2o5b3o43b2o5b3o44b2o5b3o$obo3b2obo30bo4bobo
5b3o42bobo5b3o43bobo5b3o$2bo3b3o30b3o5bo5b2o45bo5b2o46bo5b2o$6b3o30bob
2o$6b3o31b3o100bo$7b2o31b2o100b3o$141b2obo$141b3o$10bo77bo52b3o$9b3o
75b3o51b3o$9bob2o74bob2o51b2o$10b3o75b3o$10b3o75b3o$10b3o75b3o$10b2o
76b2o2$103b3o$102bo2bo$56bo48bo$55b3o43bo3bo$54b2obo47bo$54b3o45bobo$
55b2o4$141b3o$140bo2bo$143bo$9bo129bo3bo$8b3o132bo$8bob2o128bobo$9b3o$
9b3o$9b2o!
Last edited by GUYTU6J on May 5th, 2021, 11:54 am, edited 1 time in total.

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dvgrn
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Re: 2c/4 Flyby Reactions

Post by dvgrn » May 5th, 2021, 9:37 am

Probably unnecessary clarification: I personally think that the above rules of thumb are implied by the long history of these things in Caterloopillars, puffers-turned-into-rakes, etc. But I don't think there's really any one person who could say anything absolutely true about what's individually noteworthy or not.

These things are useful in big groups, so the best thing would be a big collection made from an exhaustive search, where you could look up whatever reaction best fits your particular purpose.
- Sometimes you're constructing each of the *WSSes individually, like in the Caterloopillar, in which case you almost certainly don't want anything but well-separated *WSSes, and even HWSSes are a little awkward.
- Sometimes you're just looking to turn a puffer into a rake with the minimum bounding box, in which case you can use weird p4 spaceships if you need to and pack everything painfully close together.

EDIT:
GUYTU6J wrote:
May 5th, 2021, 9:17 am
I wanted to find reference(s) for the statements before "However, as in the case of...", but I couldn't get any. Where did these come from?
Here's a pond-deleting reaction that showed up in old emails, found by Mark Niemiec (11/30/96). But it's only around 55x23, or it grows to 76x26 if it's actually eating a pond -- and the cell count is nowhere near 273:[/code]

Code: Select all

x = 135, y = 90, rule = B3/S23
86b5o$85bo4bo16b4o8b2o$90bo15b6o5bo4bo$85bo3bo16b4ob2o10bo$87bo22b2o5b
o5bo$118b6o2$96bo$76b2o20bo$92b2o5bo16b2o$92b3o4bo15bobo3bo$92bobo3bo
15b2ob2o2b2o$93bo21bobo2bob2o$93b2obo19bo3bobo$94b2o24b2o2$101b2o17b2o
$101b2o13bo3bobo$100b2o13bobo2bob2o$114b2ob2o2b2o$115bobo3bo$86bo2bo
26b2o$90bo$86bo3bo$87b4o$108b2o8b6o$98bo7bo4bo5bo5bo$63b4o29b2o14bo10b
o$62b6o29b2o7bo5bo4bo4bo$62b4ob2o23bo14b6o6b2o$66b2o23b2o$17bo73bobo$
15bo3bo99b2o$20bo32bo2b2o59bo4bo$15bo4bo31bob2o18bo48bo$16b5o30b2o19b
2o20bo22bo5bo$73b2o17bo3bo21b6o5b6o$97bo30bo5bo$92bo4bo16b2o18bo$31b2o
19bo10b2o28b5o15bob2o16bo$31b2o17b4o9b2o49bobo11bo2bo$49bo77bobo$3b2o
30b2o13b4o5bo57bo12bo$2bo2bo28bo2bo10bobob4ob2o2bo3b2o30b2o20bo10b3o$
2bo2bo28bo2bo15b3o2bob2o2bo2bo11b2o15bo2bo14bobo2b3o9bobo$3b2o30b2o15b
2o4bob2o2b2ob2o9bo2bo8b2o4bobo7b2o6b2o5bo9bob2o$3b2o47b2o3b2obo4bobo
11b2o9b2o5bo8b2o7b2obo4b3o6b2o$3b2o51bo2b2o5bo51bobobo9bo$2bo53b2o$bo
3bo52b3o57bobobo9bo$o5bo24b6o42b2o9b2o5bo8b2o7b2obo4b3o6b2o$o2bob2o23b
o5bo41bo2bo8b2o4bobo7b2o6b2o5bo9bob2o$o6bo12bo15bo42b2o15bo2bo14bobo2b
3o9bobo$bobob2o11b2obo8bo4bo61b2o20bo10b3o$2b2o18bo9b2o83bo12bo$6bo13b
ob2o34bo68bobo$5bobo12bo35bobo55bobo11bo2bo$22bo19b2o13b2o34b5o15bob2o
16bo$18bo2bo14bob4ob2o47bo4bo16b2o18bo$19b3o4bo9bo2b5o53bo30bo5bo$26b
2o8bo3b3o49bo3bo21b6o5b6o$25bo2bob2o62bo22bo5bo$26b2o2b2o91bo$26bo13b
4o73bo4bo$27bo11bo3bo67b4o4b2o$25bo3bo13bo66bo3bo$30bo8bo2bo71bo$25bo
4bo79bo2bo$26b5o3$42bo$40bobo$41b2o14$26bo$24bobo$25b2o!
Looks like that's a Life Lexicon item from early on, that has never gotten noticed and updated. Anyone know what it should really say, in these modern times?

EDIT2: The referenced email by Mark Niemiec turns out to be a big collection of cleanup devices. Might as well reprint it here:
On , Mark Niemiec wrote:From: Mark Niemiec
Date: Sat, 30 Nov 1996 20:06:25 -0800
Subject: Puffer garbage collection


Some time ago, someone asked about garbage collecting
certain hard-to-remove debris left behind dirty puffers.
(Due to the amount of mail, and my inability to remember the
exact wording of the question, I have been unable to locate
the original message).

I looked at them at the time (using MWSS and HWSS catalysts),
and didn't come up with many useful mechanisms.
However, it just occurred to me to try some other mechanisms (such as
the P16 Coe-ship), or even clean puffers with 'whips' which extend out
beyond the extent of any of the bounding spaceships (such as one of the
P32 Coe-ships). I didn't try any of the other clean C/2 puffers.

Here are the hilights. (Many of the simpler ones are most likely
already known; I am just including them for completeness.)
I have endeavoured to produce a garbage-collector for each orientation of
each object. In most case, the collector comes from below left,
although I have included several smaller ones which come from both sides.
I have also included a few which make pure gliders.
Mechanisms requiring more than two spaceships are not necessarily optimal;
they are just the first ones I found.

In some cases, gliders are removed via MWSS; LWSS and HWSS also work,
but I have used MWSS since they are usually the easiest to build.

Here are garbage-collectors for all simple spaceships, all objects
up to 7 bits, and some larger:

Code: Select all

#C garbage-collect blinker w/one HWSS
x = 9, y = 7, rule = B3/S23
3o$o2bo$o5b3o$o3bo$o3bo$o$bobo!

Code: Select all

#C garbage-collect block w/one MWSS
x = 8, y = 6, rule = B3/S23
3o$o2bo2b2o$o5b2o$o3bo$o$bobo!

Code: Select all

#C garbage-collect tub w/P32 Coe-ship and HWSS
x = 26, y = 60, rule = B3/S23
4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo10bo$3b2o4bo3bo9bobo$8b2o14bo$8b
2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o3bo2b3o
$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b2ob2o$
14bo18$12bo$11b3o$10b2obo$10b3o$10b3o$10b3o$11b2o!

Code: Select all

#C garbage-collect flat side of down-boat w/HWSS
x = 9, y = 7, rule = B3/S23
3o$o2bo3bo$o5bobo$o3bob2o$o3bo$o$bobo!

Code: Select all

#C garbage-collect flat side of up-boat w/P32 Coe-ship and MWSS
x = 26, y = 64, rule = B3/S23
23b2o$23bobo$4bo4b3o12bo$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo$8b2o
$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o3bo
2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b2ob
2o$14bo21$18b3o$18bo2bo$18bo$18bo3bo$18bo$19bobo!

Code: Select all

#C garbage-collect point side of down-boat w/two P32 Coe-ships and MWSS
x = 26, y = 113, rule = B3/S23
24bo$23bobo$24b2o$4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo$8b
2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o3b
o2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b2o
b2o$14bo15$4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo$8b2o$8b2o
2bo$9b2o6bo$16b3o$15b2obo$15b3o$15b3o$6b2o7b3o$bo14b2o$3o3b3ob2o$ob2o4b
2ob2o$b3o5bobo$b3o5b2o$b2o2$4b2o4$9b2o$8bo3bo$13bo$9bo3bo$13bo$10b3o$14b
o$13b3o$15bo7$16b3o2$18bo13$13b3o$13bo2bo$13bo$13bo3bo$13bo$14bobo!

Code: Select all

#C garbage-collect point side of up-boat w/P32 Coe-ship, MWSS, two HWSS
x = 26, y = 88, rule = B3/S23
24b2o$23bobo$24bo$4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo$8b
2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o3b
o2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b2o
b2o$14bo21$17b3o$17bo2bo$17bo$17bo3bo$17bo$18bobo6$16b3o$16bo2bo$16bo$
16bo3bo$16bo3bo$16bo$17bobo5$14b3o$14bo2bo$14bo$14bo3bo$14bo3bo$14bo$15b
obo!

Code: Select all

#C garbage-collect up-boat w/P32 Coe-ship and MWSS
#C (rear MWSS is on wrong side; if removed, forward glider results)
x = 33, y = 48, rule = B3/S23
24b2o$23bobo$4bo4b3o12bo$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo$8b2o
$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o3bo
2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b2ob
2o$14bo5$31bo$30b3o$29b2obo$29b3o$29b3o$30b2o!

Code: Select all

#C garbage-collect horizontal beehive w/P32 Coe-ship
x = 27, y = 36, rule = B3/S23
4bo4b3o12b2o$3b3o3bo2bo10bo2bo$2b2obo3bo14b2o$2b3o4bo3bo$3b2o4bo3bo$8b2o
$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o3bo
2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b2ob
2o$14bo!

Code: Select all

#C garbage-collect vertical beehive w/P32 Coe-ship and MWSS
x = 26, y = 63, rule = B3/S23
24bo$23bobo$23bobo$4bo4b3o12bo$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3b
o$8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob
2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$
12b2ob2o$14bo19$13b3o$13bo2bo$13bo$13bo3bo$13bo$14bobo!

Code: Select all

#C garbage-collect rear point of barge w/P32 Coe-ship
x = 27, y = 39, rule = B3/S23
25bo$24bobo$23bobo$4bo4b3o12bo$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3b
o$8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob
2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$
12b2ob2o$14bo!

Code: Select all

#C garbage-collect front point of barge w/Two P32 Coe-ships
x = 27, y = 96, rule = B3/S23
24bo$23bobo$24bobo$4bo4b3o13bo$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3b
o$8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob
2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$
12b2ob2o$14bo16$4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo$8b2o$
8b2o2bo$9b2o6bo$16b3o$15b2obo$15b3o$15b3o$6b2o7b3o$bo14b2o$3o3b3ob2o$ob
2o4b2ob2o$b3o5bobo$b3o5b2o$b2o2$4b2o4$9b2o$8bo3bo$13bo$9bo3bo$13bo$10b3o
$14bo$13b3o$15bo7$16b3o2$18bo!

Code: Select all

#C garbage-collect rear side of ship w/MWSS and two HWSS
x = 12, y = 29, rule = B3/S23
3b3o$3bo2bo3b2o$3bo5bobo$3bo3bob2o$3bo$4bobo6$2b3o$2bo2bo$2bo$2bo3bo$2bo
3bo$2bo$3bobo5$3o$o2bo$o$o3bo$o3bo$o$bobo!

Code: Select all

#C garbage-collect front side of ship w/two MWSS
x = 9, y = 23, rule = B3/S23
3o$o2bo$o5b2o$o3bobobo$o6b2o$bobo12$6bo$5b3o$5bob2o$6b3o$6b3o$6b2o!

Code: Select all

#C garbage-collect rear side of horizontal snake w/P32 Coe-ship and HWSS
x = 27, y = 65, rule = B3/S23
23bob2o$23b2obo2$4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo$8b2o
$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o3bo
2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b2ob
2o$14bo20$14b3o$14bo2bo$14bo$14bo3bo$14bo3bo$14bo$15bobo!

Code: Select all

#C garbage-collect front side of horizontal snake w/P32 Coe-ship
x = 27, y = 39, rule = B3/S23
23b2obo$23bob2o2$4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo$8b2o
$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o3bo
2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b2ob
2o$14bo!

Code: Select all

#C garbage-collect horizontal snake (from both sides) w/HWSS and two MWSS
x = 16, y = 18, rule = B3/S23
14bo$13b3o$3o3b2obo2b2obo$o2bo2bob2o2b3o$o11b3o$o3bo7b3o$o12b2o$bobo5$b
3o$bo2bo$bo$bo3bo$bo$2bobo!

Code: Select all

#C garbage-collect rear side of vertical snake w/P16 Coe-ship
x = 15, y = 11, rule = B3/S23
13b2o$2bo4b3o4bo$b3o3bo2bo2bo$2obo3bo5b2o$3o4bo3bo$b2o4bo3bo$6b2o$6b2o$
7bobo2$7b2o!

Code: Select all

#C garbage-collect front side of vertical snake w/P16 Coe-ship and HWSS
x = 25, y = 65, rule = B3/S23
23b2o$23bo$24bo$23b2o2$4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3b
o$8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob
2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$
12b2ob2o$14bo18$13bo$12b3o$11b2obo$11b3o$11b3o$11b3o$12b2o!

Code: Select all

#C garbage-collect vertical snake (from both sides) w/HWSS and MWSS
x = 14, y = 8, rule = B3/S23
6b2o$3o4bo3b3o$o2bo2bo3bo2bo$o5b2o5bo$o3bo4bo3bo$o3bo8bo$o9bobo$bobo!

Code: Select all

#C garbage-collect rear side of horizontal ACC w/P32 Coe-ship and HWSS
x = 27, y = 67, rule = B3/S23
25b2o$23bo2bo$23b2o2$4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo$
8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o
3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b
2ob2o$14bo21$17b3o$17bo2bo$17bo$17bo3bo$17bo3bo$17bo$18bobo!

Code: Select all

#C garbage-collect front side of horizontal ACC w/P32 Coe-ship
x = 27, y = 39, rule = B3/S23
23b2o$23bo2bo$25b2o$4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo$
8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o
3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b
2ob2o$14bo!

Code: Select all

#C garbage-collect horizontal ACC (from both sides) w/HWSS and two MWSS
x = 20, y = 20, rule = B3/S23
3o11bo$o2bo4b2o3b3o$o5bo2bo3bob2o$o3bob2o6b3o$o3bo9b3o$o13b2o$bobo8$17b
3o$16bo2bo$19bo$15bo3bo$19bo$16bobo!

Code: Select all

#C garbage-collect vertical ACC (from both sides) w/two MWSS and HWSS
x = 19, y = 17, rule = B3/S23
3o3b2o$o2bo2bo6bo$o7bo3b3o$o3bo2b2o3bob2o$o12b3o$bobo9b3o$13b2o4$16bo$
15b3o$15bob2o$16b3o$16b3o$16b3o$16b2o!

Code: Select all

#C turn vertical ACC into glider (from both sides) w/two MWSS and HWSS
x = 20, y = 17, rule = B3/S23
3o3b2o$o2bo2bo6bo$o7bo3b3o$o3bo2b2o3bob2o$o12b3o$bobo9b3o$13b2o4$15b3o$
15bo2bo$15bo$15bo3bo$15bo3bo$15bo$16bobo!

Code: Select all

#C garbage-collect read side of vertical ACC w/P32 Coe-ship
x = 26, y = 36, rule = B3/S23
4bo4b3o$3b3o3bo2bo$2b2obo3bo14b2o$2b3o4bo3bo11bo$3b2o4bo3bo9bo$8b2o13b2o
$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o3bo
2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b2ob
2o$14bo!

Code: Select all

#C garbage-collect front side of vertical ACC w/P32 Coe-ship and HWSS
x = 26, y = 61, rule = B3/S23
4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo9b2o$8b2o13bo$8b2o15bo
$9bobo5bo6b2o$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o3bo2b
3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b2ob2o
$14bo19$4b3o$4bo2bo$4bo$4bo3bo$4bo3bo$4bo$5bobo!

Code: Select all

#C garbage-collect rear side of beacon w/HWSS
x = 10, y = 7, rule = B3/S23
3o5b2o$o2bo5bo$o5bo$o3bob2o$o3bo$o$bobo!

Code: Select all

#C garbage-collect front side of beacon w/two MWSS
x = 10, y = 14, rule = B3/S23
3o$o2bo2b2o$o5bo$o3bo4bo$o7b2o$bobo3$2b3o$2bo2bo$2bo$2bo3bo$2bo$3bobo!

Code: Select all

#C garbage-collect back side of horizontal toad w/HWSS
x = 10, y = 7, rule = B3/S23
3o5bo$o2bo2bo2bo$o5bo2bo$o3bo2bo$o3bo$o$bobo!

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#C garbage-collect front side of horizontal toad w/HWSS and MWSS
#C (removing rear MWSS yields forward glider)
x = 13, y = 15, rule = B3/S23
3b3o$3bo2bo$3bo$3bo3bob3o$3bo3bo2b3o$3bo$4bobo3$2bo$b3o$2obo$3o$3o$b2o!

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#C garbage-collect back side of vertical toad w/P32 Coe-ship, HWSS and MWSS
x = 26, y = 68, rule = B3/S23
4bo4b3o$3b3o3bo2bo$2b2obo3bo15bo$2b3o4bo3bo10b2o$3b2o4bo3bo10b2o$8b2o14b
o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o3bo
2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b2ob
2o$14bo17$10b3o$10bo2bo$10bo$10bo3bo$10bo3bo$10bo$11bobo4$11b3o$11bo2bo$
11bo$11bo3bo$11bo$12bobo!

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#C garbage-collect front side of vertical toad w/HWSS and P32 Coe-ship
x = 23, y = 53, rule = B3/S23
20b2o$19bo$13b3o6bo$13bo2bo3b2o$13bo$13bo3bo$13bo3bo$13bo$14bobo9$4bo4b
3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo$8b2o$8b2o$9bobo5bo$16b3o$
9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o3bo2b3o$b3o3bo2b2obo$b3o
4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b2ob2o$14bo!

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#C garbage-collect vertical toad (from both sides) w/HWSS and MWSS
x = 16, y = 9, rule = B3/S23
3o$o2bo$o6b2o$o3bobo6b3o$o3bo4bo2bo2bo$o6b2o6bo$bobo7bo3bo$15bo$12bobo!

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#C garbage-collect rear side of clock w/HWSS
x = 10, y = 7, rule = B3/S23
3o$o2bo$o7bo$o3bobobo$o3bo2bobo$o6bo$bobo!

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#C garbage-collect front side of clock w/HWSS and MWSS
x = 12, y = 16, rule = B3/S23
2b3o4bo$2bo2bo3bobo$2bo5bobo$2bo3bo3bo$2bo3bo$2bo$3bobo4$3o$o2bo$o$o3bo$
o$bobo!

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#C garbage-collect flat side of down long-boat w/three HWSS
x = 20, y = 29, rule = B3/S23
18bo$17bobo$10b3o3bobo$10bo2bo2b2o$10bo$10bo3bo$10bo3bo$10bo$11bobo3$7bo
$6b3o$6bob2o$7b3o$7b3o$7b3o$7b2o5$3o$o2bo$o$o3bo$o3bo$o$bobo!

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#C garbage-collect flat side of up long-boat w/MWSS
x = 10, y = 6, rule = B3/S23
3o$o2bo$o5b2o$o3bobobo$o6bobo$bobo4bo!

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#C garbage-collect flat side of down-loaf w/P32 Coe-ship
x = 27, y = 40, rule = B3/S23
24bo$23bobo$23bo2bo$24b2o$4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4b
o3bo$8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo
$ob2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12b
o$12b2ob2o$14bo!

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#C garbage-collect flat side of up-loaf w/P32 Coe-ship
x = 27, y = 36, rule = B3/S23
4bo4b3o$3b3o3bo2bo$2b2obo3bo14b2o$2b3o4bo3bo9bo2bo$3b2o4bo3bo9bobo$8b2o
14bo$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o
3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b
2ob2o$14bo!

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#C garbage-collect point side of down-loaf w/P32 Coe-ship and two MWSS
x = 27, y = 110, rule = B3/S23
25bo$24bobo$23bo2bo$24b2o$4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4b
o3bo$8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo
$ob2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12b
o$12b2ob2o$14bo58$15b3o$15bo2bo$15bo$15bo3bo$15bo$16bobo2$21b3o$21bo2bo$
21bo$21bo3bo$21bo$22bobo!

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#C garbage-collect down-loaf (both sides) w/two MWSS
x = 21, y = 11, rule = B3/S23
$3o11bo$o2bo3bo5b3o$o5bobo3b2obo$o3bobo2bo2b3o$o6b2o3b3o$bobo9b2o!

#C garbage-collect up-loaf (both sides) w/two MWSS and HWSS
x = 21, y = 21, rule = B3/S23
$3o10b3o$o2bo3b2o3bo2bo$o5bo2bo5bo$o3bobobo2bo3bo$o6bo3bo3bo$bobo11bo$
12bobo3$15b3o$15bo2bo$15bo$15bo3bo$15bo$16bobo!

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#C garbage-collect rear side of horizontal long snake w/P32 Coe-ship
x = 28, y = 40, rule = B3/S23
26b2o$23bobobo$23b2o2$4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo
$8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob
2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$
12b2ob2o$14bo!

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#C garbage-collect front side of horizontal long snake w/two MWSS
x = 11, y = 16, rule = B3/S23
3o$o2bo$o5b2o$o3bobobobo$o8b2o$bobo5$3b3o$3bo2bo$3bo$3bo3bo$3bo$4bobo!

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#C garbage-collect rear side of vertical long snake w/HWSS and MWSS
x = 9, y = 17, rule = B3/S23
7b2o$8bo$3o4bo$o2bo2bo$o5b2o$o3bo$o3bo$o$bobo3$b3o$bo2bo$bo$bo3bo$bo$2bo
bo!

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#C turn rear side of vertical long snake into forward glider w/MWSS
x = 9, y = 7, rule = B3/S23
7b2o$3o5bo$o2bo3bo$o5bo$o3bob2o$o$bobo!

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#C garbage-collect front side of vertical long snake w/P32 Coe-ship
x = 26, y = 36, rule = B3/S23
4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo9b2o$8b2o13bo$8b2o14bo
$9bobo5bo7bo$16b3o5b2o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o3b
o2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b2o
b2o$14bo!

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#C turn front side of vertical long snake into backwards glider w/P32 Coe-ship
x = 26, y = 38, rule = B3/S23
23b2o$23bo$4bo4b3o12bo$3b3o3bo2bo12bo$2b2obo3bo14b2o$2b3o4bo3bo$3b2o4bo
3bo$8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$
ob2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo
$12b2ob2o$14bo!

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#C garbage-collect tail of horizontal down-eater w/HWSS
x = 10, y = 8, rule = B3/S23
8b2o$3o4bobo$o2bo3bo$o5b2o$o3bo$o3bo$o$bobo!

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#C garbage-collect tail of horizontal up-eater w/two HWSS
x = 11, y = 16, rule = B3/S23
b3o$bo2bo$bo$bo3bob2o$bo3bo2bo$bo6bobo$2bobo4b2o3$bo$3o$ob2o$b3o$b3o$b3o
$b2o!

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#C garbage-collect head of horizontal down-eater w/P32 Coe-ship
x = 27, y = 37, rule = B3/S23
23b2o$4bo4b3o11bobo$3b3o3bo2bo12bo$2b2obo3bo15b2o$2b3o4bo3bo$3b2o4bo3bo$
8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o
3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b
2ob2o$14bo!

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#C garbage-collect head of horizontal up-eater w/P32 Coe-ship and MWSS
x = 27, y = 64, rule = B3/S23
25b2o$25bo$23bobo$23b2o$4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo
3bo$8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$
ob2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo
$12b2ob2o$14bo19$13b3o$13bo2bo$13bo$13bo3bo$13bo$14bobo!

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#C garbage-collect tail of vertical down-eater w/P32 Coe-ship and HWSS
x = 27, y = 84, rule = B3/S23
23bo$23b3o$4bo4b3o14bo$3b3o3bo2bo12b2o$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo$
8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o
3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b
2ob2o$14bo40$12bo$11b3o$10b2obo$10b3o$10b3o$10b3o$11b2o!

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#C garbage-collect tail of vertical up-eater w/MWSS and HWSS
x = 14, y = 14, rule = B3/S23
4b3o5b2o$4bo2bo5bo$4bo5b3o$4bo3bobo$4bo$5bobo2$2bo$b3o$2obo$3o$3o$3o$b2o!

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#C garbage-collect head of vertical up-eater w/HWSS
x = 10, y = 7, rule = B3/S23
3o6bo$o2bo3b3o$o5bo$o3bob2o$o3bo$o$bobo!

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#C garbage-collect tail of vertical down-eater w/P32 Coe-ship
x = 27, y = 38, rule = B3/S23
23b2o$23bo$4bo4b3o12b3o$3b3o3bo2bo13bo$2b2obo3bo$2b3o4bo3bo$3b2o4bo3bo$
8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$ob2o
3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo$12b
2ob2o$14bo!

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#C garbage-collect pond w/P32 Coe-ship
x = 27, y = 36, rule = B3/S23
4bo4b3o12b2o$3b3o3bo2bo10bo2bo$2b2obo3bo13bo2bo$2b3o4bo3bo10b2o$3b2o4bo
3bo$8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo$
ob2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12bo
$12b2ob2o$14bo!

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#C garbage-collect rear of horizontal cigar w/P32 Coe-ship
x = 28, y = 39, rule = B3/S23
25b2o$24bo2bo$23bo2bo$4bo4b3o12b2o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b2o
4bo3bo$8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o
5bo$ob2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$
12bo$12b2ob2o$14bo!

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#C garbage-collect rear of horizontal cigar w/P16 Coe-ship and three HWSS
x = 18, y = 43, rule = B3/S23
2bo4b3o5b2o$b3o3bo2bo3bo2bo$2obo3bo5bo2bo$3o4bo3bo2b2o$b2o4bo3bo$6b2o$6b
2o$7bobo2$7b2o10$4b3o$3bo2bo$6bo$2bo3bo$2bo3bo$6bo$3bobo2$8bo$7b3o$6b2ob
o$6b3o$6b3o$6b3o$7b2o3$10b3o$9bo2bo$12bo$8bo3bo$8bo3bo$12bo$9bobo!

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#C garbage-collect front rear of horizontal cigar w/P32 Coe-ship
x = 28, y = 38, rule = B3/S23
24b2o$23bo2bo$4bo4b3o12bo2bo$3b3o3bo2bo12b2o$2b2obo3bo$2b3o4bo3bo$3b2o4b
o3bo$8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo
$ob2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12b
o$12b2ob2o$14bo!

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#C garbage-collect horizontal cigar (from both sides) w/P16 Coe-ship and HWSS
x = 24, y = 18, rule = B3/S23
2bo4b3o5b2o$b3o3bo2bo3bo2bo$2obo3bo5bo2bo$3o4bo3bo2b2o$b2o4bo3bo$6b2o$6b
2o$7bobo2$7b2o2$21bo$20b3o$20bob2o$21b3o$21b3o$21b3o$21b2o!

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#C garbage-collect rear of vertical cigar w/P32 Coe-ship and HWSS
x = 27, y = 66, rule = B3/S23
25bo$24bobo$23bo2bo$23bobo$24bo$4bo4b3o$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$
3b2o4bo3bo$8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o
$3o5bo$ob2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobo
bo$12bo$12b2ob2o$14bo19$15bo$14b3o$13b2obo$13b3o$13b3o$13b3o$14b2o!

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#C garbage-collect front of vertical cigar w/P32 Coe-ship
x = 27, y = 40, rule = B3/S23
24bo$23bobo$23bo2bo$24bobo$4bo4b3o13bo$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$
3b2o4bo3bo$8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o
$3o5bo$ob2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobo
bo$12bo$12b2ob2o$14bo!

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#C garbage-collect rear point of long barge w/P32 Coe-ship
x = 28, y = 40, rule = B3/S23
26bo$25bobo$24bobo$23bobo$4bo4b3o12bo$3b3o3bo2bo$2b2obo3bo$2b3o4bo3bo$3b
2o4bo3bo$8b2o$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$
3o5bo$ob2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobob
o$12bo$12b2ob2o$14bo!

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#C garbage-collect front point of long barge w/P32 Coe-ship and MWSS
#C (rear MWSS is on wrong side; if removed, backward glider results)
x = 30, y = 64, rule = B3/S23
4bo4b3o$3b3o3bo2bo11bo$2b2obo3bo13bobo$2b3o4bo3bo10bobo$3b2o4bo3bo11bobo
$8b2o16bo$8b2o$9bobo5bo$16b3o$9b2o4b2obo$15b3o$15b3o$15b3o$bo14b2o$3o5bo
$ob2o3bo2b3o$b3o3bo2b2obo$b3o4bo2bobo$b2o6bob3o$11bo12$15bo$12bobobo$12b
o$12b2ob2o$14bo23$28bo$27b3o$26b2obo$26b3o$26b3o$27b2o!

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#C garbage-collect rear side of long ship w/HWSS
x = 10, y = 7, rule = B3/S23
3o5b2o$o2bo3bobo$o5bobo$o3bob2o$o3bo$o$bobo!

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#C garbage-collect front side of long ship w/two MWSS
x = 14, y = 67, rule = B3/S23
4b3o3b2o$4bo2bo2bobo$4bo6bobo$4bo3bo3b2o$4bo$5bobo56$3o$o2bo$o$o3bo$o$bo
bo!

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#C garbage-collect tail end of up vertical tub w/tail w/three HWSS
x = 13, y = 27, rule = B3/S23
11bo$10bobo$2b3o4bobo$2bo2bo3bo$2bo5b2o$2bo3bo$2bo3bo$2bo$3bobo3$2b3o$bo
2bo$4bo$o3bo$o3bo$4bo$bobo3$4b3o$4bo2bo$4bo$4bo3bo$4bo3bo$4bo$5bobo!

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#C garbage-collect tail end of down vertical tub w/tail w/two HWSS
x = 13, y = 16, rule = B3/S23
2b3o$2bo2bo$2bo$2bo3bob2o$2bo3bo2bo$2bo6bobo$3bobo4bobo$11bo2$2bo$b3o$2o
bo$3o$3o$3o$b2o!

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#C garbage-collect horizontal block-on-block w/MWSS
x = 11, y = 6, rule = B3/S23
3o$o2bo2b2ob2o$o5b2ob2o$o3bo$o$bobo!

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#C garbage-collect vertical block-on-block w/HWSS and MWSS
x = 8, y = 18, rule = B3/S23
6b2o$6b2o$3o$o2bo2b2o$o5b2o$o3bo$o3bo$o$bobo4$b3o$bo2bo$bo$bo3bo$bo$2bob
o!

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#C garbage-collect rear of bipole w/HWSS and MWSS
x = 11, y = 23, rule = B3/S23
9b2o$3o5bobo$o2bo$o5bobo$o3bob2o$o3bo$o$bobo10$b3o$bo2bo$bo$bo3bo$bo$2bo
bo!

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#C garbage-collect front of bipole w/two MWSS
#C (trivially extensible to barber-poles of any length)
x = 11, y = 14, rule = B3/S23
3o$o2bo$o5b2o$o3bobo$o6bobo$bobo6bo$9b2o2$3b3o$3bo2bo$3bo$3bo3bo$3bo$4bo
bo!

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#C garbage-collect traffic light w/three HWSS
x = 15, y = 25, rule = B3/S23
10bo$3o7bo$o2bo6bo$o$o3bob3o3b3o$o3bo$o9bo$bobo6bo$10bo$4bo$3b3o$3bob2o$
4b3o$4b3o$4b3o$4b2o3$6b3o$6bo2bo$6bo$6bo3bo$6bo3bo$6bo$7bobo!

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#C garbage-collect rearward glider w/MWSS
x = 9, y = 6, rule = B3/S23
3o$o2bo$o$o3bobo$o5bobo$bobo2b2o!

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#C garbage-collect forward glider w/MWSS
x = 9, y = 6, rule = B3/S23
3o$o2bo$o6bo$o3bob2o$o5bobo$bobo!

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#C garbage-collect sideways LWSS with MWSS
x = 11, y = 6, rule = B3/S23
3o$o2bo2b4o$o5bo3bo$o3bobo$o6bo2bo$bobo!

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#C garbage-collect backwards LWSS with MWSS
x = 9, y = 9, rule = B3/S23
5bobo$8bo$8bo$3o2bo2bo$o2bo2b3o$o$o3bo$o$bobo!

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#C garbage-collect sideways MWSS with MWSS
x = 12, y = 6, rule = B3/S23
3o$o2bo2b5o$o5bo4bo$o3bobo$o6bo3bo$bobo5bo!

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#C garbage-collect backwards MWSS with MWSS
x = 10, y = 6, rule = B3/S23
3o4b2o$o2bo2b3o$o5b3o$o3bob2obo$o6b3o$bobo4bo!

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#C garbage-collect sideways HWSS with MWSS
x = 13, y = 6, rule = B3/S23
3o$o2bo2b6o$o5bo5bo$o3bobo$o6bo4bo$bobo5b2o!

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#C garbage-collect backwards HWSS with MWSS
x = 10, y = 7, rule = B3/S23
7b2o$3o3b3o$o2bo2b3o$o5b3o$o3bob2obo$o6b3o$bobo4bo!

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#C garbage-collect backwards P16 Coe-ship with two MWSS
x = 16, y = 27, rule = B3/S23
9bo$8bobo$7bo2bo$7bo2bo$7b3o$7bobo$3o3b3o2bo2bo$o2bo2b3o2bo3bo$o5b3o6bo$
o3bob2obo2bo2bo$o6b3o3b3o$bobo4bo10$7b3o$7bo2bo$7bo$7bo3bo$7bo$8bobo!
If anyone needs others, let me know.

By the way, what is the general concensus on sending collections of
many patterns of this type? Is it more convenient to send a large
number of small pieces, or larger stamp-collections of multiple
patterns?

I find it is easier to scan (and save) many at once, but easier to
construct larger mechanisms if the pieces are stored separately.


-- Mark D. Niemiec

ColorfulGabrielsp138
Posts: 288
Joined: March 29th, 2021, 5:45 am

Re: 2c/4 Flyby Reactions

Post by ColorfulGabrielsp138 » May 8th, 2021, 9:31 pm

Pentadecathlon -> Block ( -> Glider )

Code: Select all

x = 16, y = 71, rule = LifeHistory
15.A$15.A$15.A$15.A$15.A$15.A$15.A$15.A$15.A$15.A21$7.A$6.3A$5.2A.A$5.
3A$5.3A$5.3A$6.2A15$3A$A2.A$A$A$A$A$.A7$4.A$3.3A$2.2A.A$2.3A$2.3A$2.3A
$3.2A!
EDIT: Why change the title?
ANOTHER EDIT: Fishhook -> Spark

Code: Select all

x = 10, y = 20, rule = LifeHistory
2A$A.A$2.A$2.2A10$7.3A$6.A2.A$9.A$9.A$9.A$9.A$8.A!
A few p2 oscillators

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x = 18, y = 60, rule = LifeHistory
2.A$2.A.A$.A.A$3.A11$2.2A$4.A$.A$2.2A4$16.2A$17.A$14.A$14.2A4$8.3A$7.
A2.A$10.A$10.A$10.A$10.A$9.A!
Integral sign variant (incomplete)

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#C garbage-collect integral sign variant w/P32 Coe-ship
x = 29, y = 49, rule = LifeHistory
24.2A$24.A.A$26.A$26.A.A$27.2A9$4.A4.3A$3.3A3.A2.A$2.2A.A3.A$2.3A4.A3.
A$3.2A4.A3.A$8.2A$8.2A$9.A.A5.A$16.3A$9.2A4.2A.A$15.3A$15.3A$15.3A$.A
14.2A$3A5.A$A.2A3.A2.3A$.3A3.A2.2A.A$.3A4.A2.A.A$.2A6.A.3A$11.A12$15.
A$12.A.A.A$12.A$12.2A.2A$14.A!
Fleet (incomplete)

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#C garbage-collect fleet w/P32 Coe-ship
x = 47, y = 113, rule = LifeHistory
28.2A$28.A.A$29.2A$31.2A$24.2A5.A.A$24.A.A5.2A$25.2A$27.2A$27.A.A$28.
2A8$4.A4.3A$3.3A3.A2.A$2.2A.A3.A$2.3A4.A3.A$3.2A4.A3.A$8.2A$8.2A$9.A.
A5.A$16.3A$9.2A4.2A.A$15.3A$15.3A$15.3A$.A14.2A$3A5.A$A.2A3.A2.3A$.3A
3.A2.2A.A$.3A4.A2.A.A$.2A6.A.3A$11.A12$15.A$12.A.A.A$12.A$12.2A.2A$14.
A19$40.A$39.3A$39.A.2A$40.3A$40.3A$40.3A$40.2A19$6.3A$6.A2.A$6.A$6.A$
6.A$6.A$7.A!
Could anyone help complete it?

Code: Select all

x = 21, y = 21, rule = LifeColorful
11.E$10.3E$10.E.2E$13.E4$2.2B$.2B$2B$.2B15.2D$19.2D$18.2D$17.2D4$7.C$
7.2C.C$8.3C$9.C!
I have reduced the glider cost of quadratic growth to eight and probably to seven. Looking for conduits...

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