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x = 7, y = 5, rule = B3/S23
3o$o2bo3$4b3o!

8cells init, final population 1342

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Is anyone aware of this reaction that cleanly produces two gliders in two directions?

x = 8, y = 9, rule = B3/S23
bo6b$obo5b$bo6b$8b$5b3o$6bob$4b3ob$4b2o2b$4b3ob!

I found it a while ago but it's too simple to be new...

Essentially, this is a HF + block+tub reaction. the tub can be replaced ...

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3 more or less useful TL+2G reactions.
i) TL+2G -> TL+3G (the traffic light is shifted by (0,12))
ii)+iii) TL+2G -> MWSS
x = 117, y = 37, rule = B3/S23
5$50bo$51bo$49b3o$95b3o2$2b3o88bo5bo$93bo5bo$o5bo86bo5bo$o5bo$o5bo88b
3o$54b3o$2b3o$52bo5bo44bo$52bo5bo43b2o$52bo5bo43bobo$14b3o$8b2o4bo39b
3o ...

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I studied blinker+2G reactions, here the most interesting ones. Maybe someone finds some of them useful. There are a few which output again blinker+2glider. And a few other ones, long lifetime + 1G, a large blinker pull (obviously there are many options to displace the blinker), blinker at the same ...

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The p28 block puffer allows for a weird HWSS supported interchange-tagalong. (but does not turn it into a ship)
x = 42, y = 103, rule = B3/S23
5$5bo45$16bo5bo$6b3o6b3o3b3o6b3o$6bo2bo4b2o2bobo2b2o4bo2bo$6bo7bo3bobo
3bo7bo$6bo3bo2b2obobobobob2o2bo3bo$6bo7bobobobobobo7bo$7bobo4b3obobob
3o4bobo ...

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The p58 LWSS 180° reflector resulting p232-shuttle, allows for a p232 G gun utilizing the spark of the LWSS reflection:
x = 92, y = 67, rule = B3/S23
43b2o27b3o$30b3o10b2o29bo$29bo3bo39bo$29b2ob2o$22b2o$21bobo$21bo$20b2o
2$46bo$25b2o17b3o$26bo16bo$23b3o17b2o$23bo2$48b2o$48bo$46bobo$46b2o$
36b2ob2o ...

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P38 suicide gun: x = 59, y = 54, rule = B3/S23
3b2o8b2o$4bo8bobo$4bobo7b2o$2o3b2o$obo$2bo$2b2o$4bo4bobo$2b3o3bo2bo$b
o7bobo$b2o2$10bo$10b2o$3b4obo2b5o$3bob2o3b2ob3o$4b2o4bo5$4b2o4bo31b2o
$3bob2o3b2ob3o27bo2bo$3b4obo2b5o24b3o3b3o$10b2o16b2o9bo3b3o3bo$10bo18b
o2bo6b2obo3b3o$26b3o3b3o8b2obo ...

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Not sure if this is known, but I find somewhat interesting - a p60 beehive generator (and destroyer):
x = 45, y = 25, rule = B3/S23
20b2o3b2o$20bobobobo$22bobo$21b2ob2o9$23bo$22b3o$21b5o$20b2o3b2o$2o13b
o5b5o$o2bo10b4o3bo3bo$b3o9b2obobo3bobo6bo11b2o$12b3obo2bo3bo5bobo9bo2b
o$b3o9b2obobo8b2o12b3o ...

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Some results on the p58 pi-heptomino hassler (https://conwaylife.com/wiki/P58_pi-heptomino_hassler):
x = 222, y = 198, rule = LifeHistory
3$8.A$6.3A$5.A$5.2A6.2A$13.A$11.A.A8.2A$11.2A9.2A$93.A38.A$91.3A36.3A
$7.3A80.A38.A$7.3A34.A45.2A6.2A29.2A6.2A$6.A3.A31.3A53.A38.A$5.3A3.A
29.A54.A.A8.2A26.A.A8 ...

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This might be known. All options for the R + dot/domino spark to preserve itself. The left ones could lead to p47 and p31 oscillator if we would have suitable sparker. (will will work glider supported.), and then two further tracks. the last seems to work with a p37 MWSS gun, but it would interact ...

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I am not sure, but I think the first p52 TL-hassler (https://conwaylife.com/wiki/Traffic_light_hasslers) - strictly a TL shuttle. However, supported by glider
x = 112, y = 126, rule = LifeHistory
3$9.A7.2A$9.3A5.A2.2A$12.A5.2A.3A$11.2A6.B4.A3.A$11.5B.B2AB3A3.A.A$
13.3B.B2A.A5.A.A$12.4B3AB6.2A.2A$12 ...

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This is likely useless, still funny - the first one is well known, but the second one?:

Code: Select all

x = 24, y = 28, rule = B3/S23
11bo18$bobo14bobo$bobo14bobo$b3o14b3o3$18bobo$b3o14bobo$bobo14b3o$bobo!

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A glider supported p128 honey farm shuttle reaction - the corresponding oscillator could be completed easily. It requires a dot- and a domino-spark, not sure if the gliders could be replaced by a suitable non-glider based oscillator.
x = 43, y = 44, rule = LifeHistory
E$.2E$2E35.E.E$37.2E$38.E3$37 ...

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I tackled again the 3G enumeration, now I am confident that I tackled it well. The Question "How many 3G collisions do we have in Life?". As discussed years ago, it depends on the definition of "collision" and how you count. Furthermore, as there are a couple of 2G collisions which reveal escaping ...

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A dirty blinker fuse, based on the honey farm reaction. By itself useless, but it allows splitting:

Code: Select all

x = 88, y = 27, rule = B3/S23
65bo21bo$53b3o9bo9b3o9bo$65bo21bo4$47b3o4$2b3o$bo3bo$o5bo$o5bo3bo21bo$
o5bo3bo9b3o9bo9b3o$bo3bo4bo21bo$2b3o4$47b3o4$65bo21bo$53b3o9bo9b3o9bo$
65bo21bo!

11c/47

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Not sure if this is known 6 pi+G reactions, they could lead to some crawlers,
I also build a p34 (right) from the first reaction.

x = 473, y = 137, rule = LifeHistory
9$250.E.E$251.2E$251.E16$406.2A6.A$407.A6.3A$407.A.AB6.A$200.E207.2AB
5.2AB$198.E.E181.2A26.3B3.5B$199.2E182.A2.2A22.4B4.3B$383.A ...

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Bump
c/6d G
x = 3, y = 3, rule = B34ikw/S1c2-c3-ar5i8
obo$2o$bo!

unusual behavior in another rule supporting it:
somewhat off-topic, but there is this puffer, which yields this engineered 27cell ship:
x = 33, y = 29, rule = B34ikw/S1c2-c3-ar
$4b2o$3bo2bo$2bo3bo$2bo$2bo3bo$3bo2bo6$17bo3bo ...

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So... does anyone have a table of loopabilities that are known? Or periods (of RROs only) that are known? Or both?
I recently wrote a small script that checks the loopabilities. Recent matchpatt2 results gave plenty of loopabilities. I attached a csv of results of a single search, but there are ...

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If I got it correctly gencols returns a list of interacting pattern.
E.g. this is counted as 'collision' of 2 gliders in Life:
x = 9, y = 4, rule = B3/S23
6b3o$2bo3bo$obo4bo$b2o!

This is due to possible 2n, 2k and 2i (Hensel notation) neighbourhood. I did not dive deep into the gencols code, but ...

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The first one is false, the latter true. Is there a better way, for doing so?

It's relatively straightforward like so (by the way, this assumes the pattern consists only of disjoint gliders):

import lifelib
lt = lifelib.load_rules('b3s23').lifetree(n_layers=1)
x = lt.pattern('''x = 16, y = 13 ...

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updated ship list, with c/3 diagonal:
x = 374, y = 78, rule = B3678/S135678
3$4bo3bo3bo3bo6b3o2b3o10bo8bo14bo5bo13b2o14bo5bo11bo15bo16bo23bo33b2o
25bo18bo9b2o$3b3ob3ob3ob3o5b3o2b3o9bo10bo12b2obobob2o11b4o12bobo3bobo
8b5o13bo14b5o21b2o31bob2o25b4o13b3o8b2obo21bo$4b13o7b2o2b2o9bobobo4bob ...

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Jeremy's Shinjuku project already has this functionality.
I did not find a function that supports this functionality in Shinjuku.

The only way I see is to apply canonical_time_finite() on e.g.
past = 100

p = gset.extract(lt.pattern("9b2o$10b2o$9bo2$12b3o$12bo$13bo$4bobo$5b2o$5bo$b2o$obo$2bo ...

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lifelib would be fine.

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I need a python script for checking if a glider constellation is valid for synthesis or not
e.g. this one is FALSE:
x = 15, y = 13, rule = B3/S23
9b2o$10b2o$9bo2$12b3o$12bo$13bo$4bobo$5b2o$5bo$b2o$obo$2bo!

and this one TRUE:
x = 16, y = 13, rule = B3/S23
10b2o$11b2o$10bo2$13b3o$13bo$14bo$4bobo ...

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Maybe someone finds a way for to insert the methuselah:
x = 22, y = 9, rule = LifeHistory
5.3A6.3A$4.A2.2A4.2A2.A$3.2A12.2A$4.A2.A2.2D2.A2.A$9.D2.D$8.D.2C.D$9.
C2.C$2A8.2C8.2A$2A18.2A!
for a hive to honeycomb.
It is a consequence of this sequence:
x = 7, y = 9, rule = B3/S23
2bo$2o$2o$2bo$2o$ob4o ...

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