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Still-life 'factories'

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

Re: Still-life 'factories'

Postby BlinkerSpawn » December 24th, 2015, 1:15 am

A for awesome wrote:A very edgy R-to-boat:
rle

If a conduit could be found that produces a suitable thumb spark in passing, this could be part of an interesting stop-and-restart:
x = 58, y = 49, rule = LifeHistory
18.2A$17.B2A2B3.2A$18.4B2.B2AB$14.B.6B3.2B$12.10B2.2B$12.11B2A2B$11.
12B2A3B.B$11.18B2A$12.15B.B2A$11.15B3.B$9.17B$7.18B$7.2BC15B$6.3BCBC
4B.7B$7.2B3C4B2.6B$6.5BC5B.7B$5.13B.6B$4.4B7.11B$4.3B9.11B$2.4B11.11B
$2.2A14.11B$3.A15.6B.4B$3A16.2B3D2B.4B$A18.2BD4B2.4B$19.B3D4B.5B$19.
15B$19.16B$19.17B$20.17B12.2A$23.15B11.A.A2.2A$22.17B12.A3.A$21.19B7.
4A.3A$19.B.21B5.A2.A.A$15.2A.2A22B8.ABAB3A$16.A.A.B.21B6.2B2ABA2.A$
14.A.A.A.A23B.9B2.2A$14.2A3.2A.B.30B$23.30B$23.21B2D8B$22.23B2D7B$20.
A24BD7B$18.3A2.7B.24B$17.A5.7B3.7B.13BDB$17.2A4.7B4.5B5.9BDBD$23.5B6.
4B7.2B2.4B2DB$21.2AB.2B7.4B6.4B2.5B$20.A.AB10.B2AB6.B2AB3.2BD$20.A14.
2A8.2A5.DBD$19.2A31.D.D!
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Re: Still-life 'factories'

Postby dvgrn » December 24th, 2015, 8:32 am

BlinkerSpawn wrote:
A for awesome wrote:A very edgy R-to-boat:
rle

If a conduit could be found that produces a suitable thumb spark in passing, this could be part of an interesting stop-and-restart...

I bet there are edgy-junk factories where the junk can be sparked into a forward-traveling glider by some known passing conduit -- maybe an F116? there are a couple of vaguely possible sparks there.

It's a little awkward that the sparked output glider in this converter has to cross so much active conduit to get to empty space where an output signal could be used. However, if you accept that limitation, this is an unusually nice toggle-switch circuit. A second Herschel cleanly deletes the boat output, and the test glider pass cleanly through if the boat isn't there:

x = 174, y = 144, rule = LifeHistory
19.4B6.4B$20.4B6.4B$21.4B6.4B$22.4B6.4B$23.4B6.4B$24.4B6.4B$25.4B6.4B
$26.4B6.4B$27.4B6.4B$28.4B6.4B$29.4B6.4B$30.4B6.4B$31.4B6.4B6.2A$32.
4B6.4B4.B2A2B3.2A$33.4B6.4B4.4B2.B2AB$22.2A10.4B6.4B.6B3.2B$23.A11.4B
6.10B2.2B$10.A11.A13.4B5.11B2A2B$10.3A9.2A13.4B3.12B2A3B.B$13.A24.4B
2.18B2A$2A10.2A25.4B2.15B.B2A$.A38.19B3.B$.A.A37.18B$2.2A31.2B2.19B$
25.2A7.8BD15B$25.2A7.8BDBD4B.8B$34.8B3D4B2.8B$34.10BD5B.9B$34.17B.9B$
34.2B.4B7.9B.4B$2.E34.3B9.8B2.4B$2.E.E30.4B11.8B2.4B$2.3E30.2A14.7B3.
4B$4.E11.2A18.A15.6B4.4B$16.A16.3A16.2B3C2B4.4B$17.3A13.A18.2BC4B5.4B
$19.A32.B3C4B.2B2.4B$52.12B2.4B$52.14B.4B$52.15B.4B$53.14B2.4B9.2A$
56.11B3.4B8.A.A2.2A$55.13B2.5B9.A3.A$54.22B4.4A.3A$52.B.23B3.A2.A.A$
48.2A.2A25B5.ABAB3A$49.A.A.B.24B3.2B2ABA2.A$47.A.A.A.A33B2.2A$47.2A3.
2A.B.19B.10B$56.30B$56.21B2D8B$55.23B2D7B$53.A24BD8B$51.3A2.7B.17B.7B
$50.A5.7B3.7B.13BC6B$50.2A4.7B4.5B5.5B2.2BCBC6B$56.5B6.4B7.2B4.2B2C7B
$54.2AB.2B7.4B6.4B4.10B$53.A.AB10.B2AB6.B2AB6.8B$53.A14.2A8.2A8.6B$
52.2A35.4B$88.3B3C$87.4BC3B$86.4B2.C3B$85.4B4.4B$84.4B6.4B$83.4B8.4B$
82.4B10.4B$81.4B12.4B$80.4B14.4B$79.4B16.4B$78.4B18.4B70$171.3E$171.E
$172.E!
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Re: Still-life 'factories'

Postby Extrementhusiast » December 24th, 2015, 4:11 pm

If a compatible generator can be found to make this arrangement, or something equivalent:
x = 8, y = 5, rule = LifeHistory
5.2A$5.A.A$5.A.A$2A4.A$2A!

...then we could have a stop-and-double-restart conduit:
x = 30, y = 18, rule = LifeHistory
5.3B$4.6B$2.13B7.2B$2.14B5.4B$2.16B3.5B$.26B$29B$.8B2A19B$2.6BA2BA17B
$2.7B2A3BA12B$13BABA4B.5B$13BABA4B.4B$5.9BA3B4.2B$7.11B$8.4B3.2B$21.
3A$21.A$22.A!

This simple conduit leaves such a constellation, but the westbound Herschel ends up destroying the conduit, no matter what orientation the extra blinker is in:
x = 19, y = 12, rule = LifeHistory
2.2A$.A.A$.A$2A5$5.3C7.2A$6.C8.A.A$6.3C8.A$17.2A!
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Re: Still-life 'factories'

Postby dvgrn » December 24th, 2015, 4:52 pm

Extrementhusiast wrote:If a compatible generator can be found to make this arrangement, or something equivalent
...then we could have a stop-and-double-restart conduit...

In the absence of any project that desperately needs a stop-and-double-restart conduit, I'm thinking I won't spend a lot of time trying to salvage this one. Looks like there are a couple of blocks that would need cleaning up somehow, besides the blinker problem. It doesn't seem too likely that a B-to-X conduit could get hold of either of those initial B-heptomino outputs, because of the reaction envelope of the H-to-two-beehive reaction you're targeting.

We can make a stop-and-double-restart easily enough any time we need one, starting from any number of standard stop-and-restart mechanisms, and adding a syringe, H-to-2G, and two more syringes. The resulting circuit will be kind of big, maybe, but very easy to adjust.

Seems as if adjustability, and maybe Spartan-ness or constructibility, might be more important than bounding box size. If you wanted to do something with the two-beehive stop-and-double-restart, once the problem with extra junk blocks is solved, you'd have to connect each output to appropriate Herschel circuitry, to route the signals around to do... [whatever we need two synchronized signals for]. Extra Herschel circuitry can make a mechanism look much bigger and uglier, very quickly...!

These days, the smallest practical solution is often to convert each Herschel to a glider anyway -- then bounce them around with a few Snarks, and if necessary use syringes to turn the signals back into Herschels at the last possible moment.
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Re: Still-life 'factories'

Postby Scorbie » December 27th, 2015, 6:23 pm

A Herschel transmitter-dependent loafmaker.
x = 52, y = 45, rule = B3/S23
33bo$33b3o$36bo$35b2o2$50b2o$51bo$48b3o$48bo3$36bo$36bobo$36b3o6b2ob2o
$38bo6bo3bo$46b3o2$46b3o$45bo3bo$45b2ob2o15$2o$2o18bob2o$20b2obo$7b2o$
7b2o$2b2o$bobo14b2o$bo16bobo$2o18bo$12b2o6b2o$12b2o!
It's pretty sparky, so one may make something out of it.

@Kazyan: Did you put these into account?
x = 117, y = 28, rule = B3/S23
2b2o57bo40b2o$2bobo54b3o40b2o$4bo45bo7bo$4b2o42b3o7b2o43bo$47bo54b2o$
47b2o53bobo$7b2o97bo$7b2o35b2o10b2o7b2o47b2o$44bobo8bo2bo6bo39bo2bo5b
2o$8bo36b2o4b2o2bo2bo4bobo26b2o$7b2o31b2o9b2o3b2o5b2o28bo13bo2bo$7bobo
8b2o21bo48b3o$2o9bo6b2o21bobo8bo37bo18bo2bo$2o40b2o7b2o$10bo2bo37bobo
57bo2bo$55bo$12bo2bo51b2o44bo2bo$54bo2bo9b2o$14bo2bo81b2o14bo$56bo2bo
40bo$16bo2bo77b3o$58bo2bo35bo$18bo2bo$60bo2bo$20bo26b2o$46bobo13bo2bo$
46bo$45b2o17bo!

Maybe something cheaper could replace the pond-killing eater on the second one.
And the third one is the old-known Herschel receiver that accepts G2, G5, G6 glider pairs.
Best wishes to you, Scorbie
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Re: Still-life 'factories'

Postby Kazyan » December 31st, 2015, 11:02 pm

Scorbie's post in Useless Discoveries reminded me to check out a particular catalysis with Bellman, which led to this:

x = 18, y = 23, rule = LifeHistory
15.2A$9.2A5.A$4.A4.A.A.3A$4.3A4.A.A$7.A2.B2A$2A4.2AB.3B$.A4.7B$.A.AB
2.5B$2.2AB.6B$4.9B$4.4B2A4B$4.3BA2BA5B$4.4B2A2BC2B2D$5.7BCBD2BD$4.2B.
8B2D$3.11B$A2.A.2A2.5B$4A.A$5.A.A$2.2A2.2A$2.A$3.A$2.2A!


If a further reaction consumes the red beehive and then generates the domino spark, the beehive regenerates. There's no simple G+beehive collision that does so, but I found something in my files that works:

x = 30, y = 27, rule = LifeHistory
15.2A$9.2A5.A$4.A4.A.A.3A$4.3A4.A.A$7.A2.B2A$2A4.2AB.3B$.A4.7B$.A.AB
2.5B$2.2AB.6B$4.9B$4.4B2A4B$4.3BA2BA7B$4.4B2A5B2A2B$5.9BA2BA2B8.2A$4.
2B.8B2A4B7.A$3.18B4.BA.A$A2.A.2A2.12BA2B.B2A$4A.A5.9BABA3B$5.A.A3.9BA
BA3B$2.2A2.2A3.B2D7BA2B$2.A9.2D9B$3.A9.10B$2.2A8.10B$11.4B2.4B$10.3CB
$12.C$11.C!


This particular staged-recovery thing would work as a G0->P, but I doubt that the Pi would fit with anything.
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Re: Still-life 'factories'

Postby A for awesome » January 2nd, 2016, 1:30 pm

Kazyan wrote:Scorbie's post in Useless Discoveries reminded me to check out a particular catalysis with Bellman, which led to this:

rle


If a further reaction consumes the red beehive and then generates the domino spark, the beehive regenerates. There's no simple G+beehive collision that does so, but I found something in my files that works:

x = 30, y = 27, rule = LifeHistory
15.2A$9.2A5.A$4.A4.A.A.3A$4.3A4.A.A$7.A2.B2A$2A4.2AB.3B$.A4.7B$.A.AB
2.5B$2.2AB.6B$4.9B$4.4B2A4B$4.3BA2BA7B$4.4B2A5B2A2B$5.9BA2BA2B8.2A$4.
2B.8B2A4B7.A$3.18B4.BA.A$A2.A.2A2.12BA2B.B2A$4A.A5.9BABA3B$5.A.A3.9BA
BA3B$2.2A2.2A3.B2D7BA2B$2.A9.2D9B$3.A9.10B$2.2A8.10B$11.4B2.4B$10.3CB
$12.C$11.C!

Wow! That's the most transparent beehives I've ever seen in one pattern!

Is there any way to turn the block into a glider and make this an oscillator?
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

http://conwaylife.com/wiki/A_for_all

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Re: Still-life 'factories'

Postby Scorbie » January 3rd, 2016, 10:16 am

G -> Loads of junk that probably isn't that useful:
x = 27, y = 22, rule = B3/S23
7bo9bo$7b3o5b3o$10bo3bo$2bo6b2o3b2o$2b3o17b2o$5bo15bo2bo$4b2o5b2o8bobo
2bo$2o8bo2bo6b2ob4o$bo9b2o$bobo16b4ob2o$2b2o9bo6bo2bobo$12b2o8bo2bo$
12bobo8b2o$16bo2$15bo2bo2$17bo2bo2$19bo2bo2$21bo!


EDIT: Here's a moderate H-to-HF:
x = 27, y = 24, rule = B3/S23
21bob2o$19b3obo$18bo4bobo$18bob2ob2obo$19bobo4bo$3b2o16bob3o$4bo15b2ob
o$4bobo$5b2o7$5bo$5bobo$5b3o$7bo2$2o$2o$22b2o$22b2o!
Best wishes to you, Scorbie
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Re: Still-life 'factories'

Postby skomick » January 3rd, 2016, 5:26 pm

Scorbie wrote:EDIT: Here's a moderate H-to-HF...

Adding an eater makes an H-to-G:
x = 24, y = 31, rule = B3/S23
18bob2o$16b3obo$15bo4bobo$15bob2ob2obo$16bobo4bo$2o16bob3o$bo15b2obo$b
obo$2b2o7$2bo$2bobo$2b3o$4bo4$19b2o$19b2o4$6b2o$5bobo$5bo$4b2o!

Don't know if this is known yet.
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Re: Still-life 'factories'

Postby BlinkerSpawn » January 3rd, 2016, 7:16 pm

skomick wrote:
Scorbie wrote:EDIT: Here's a moderate H-to-HF...

Adding an eater makes an H-to-G:
x = 24, y = 31, rule = B3/S23
18bob2o$16b3obo$15bo4bobo$15bob2ob2obo$16bobo4bo$2o16bob3o$bo15b2obo$b
obo$2b2o7$2bo$2bobo$2b3o$4bo4$19b2o$19b2o4$6b2o$5bobo$5bo$4b2o!

Don't know if this is known yet.

From the Oct.26 H-to-G collection (and maybe earlier versions):
x = 70, y = 113, rule = LifeHistory
4$24.3D2.5D8.3D2.5D4.D2.5D$23.D3.D.D11.D3.D3.D5.2D6.D$23.D5.D15.D3.D
4.D.D5.D$24.3D2.3D3.5D4.D4.D3.D2.D4.D$27.D.D13.D5.D3.5D2.D$23.D3.D.D
12.D6.D6.D2.D$24.3D2.5D7.5D3.D6.D2.D5$53.A$52.A.A.2A$52.A.A.2A$47.2A
2.2A.A$47.A.A4.A$31.2A16.A.3A$32.A15.2A.A$32.A.AB9.7B$33.2AB.3B4.4B.
2B$35.7B.7B$35.16B$36.15B$35.15B$33.17B$31.19B$31.2BD15B$30.3BDBD4B.
8B$31.2B3D4B2.7B$30.5BD4B.8B$29.10B2.8B$28.4B9.8B$27.4B11.7B.B$26.4B
11.9B2A$26.2A13.9B2A$27.A11.9B.2B$24.3A12.9B$24.A14.10B$37.2AB.7B$36.
A.AB.6B$36.A5.4B$35.2A6.4B$44.4B$45.4B$46.4B$47.4B$48.4B$49.4B$50.4B$
51.4B12$29.A.2A28.2A$27.3A.A29.A$26.A4.A.A28.A$26.A.2A.2A.A22.2A2.2A$
27.A.A4.A22.A.A$11.2A16.A.3A7.2A16.A.4A$12.A15.2A.A10.A15.2A.A2.A$12.
A.AB9.7B10.A.AB9.7B$13.2AB.3B4.4B.2B12.2AB.3B4.4B.2B$15.7B.7B15.7B.7B
$15.16B14.16B$16.15B15.15B$15.15B15.15B$13.17B13.17B$11.19B11.19B$11.
2BD15B12.2BD15B$10.3BDBD4B.8B11.3BDBD4B.8B$11.2B3D4B2.7B12.2B3D4B2.7B
$10.5BD4B.8B11.5BD4B.8B$9.10B2.8B10.10B2.8B$8.4B9.8B9.4B9.8B$7.4B11.
7B.B6.4B11.7B.B$6.4B11.9B2A4.4B11.9B2A$6.2A13.9B2A4.2A13.9B2A$7.A11.
9B.2B6.A11.9B.2B$4.3A12.9B6.3A12.9B$4.A14.10B5.A14.10B$17.2AB.7B19.2A
B.7B$16.A.AB.6B19.A.AB.6B$16.A5.4B20.A5.4B$15.2A6.4B18.2A6.4B$24.4B
26.4B$25.4B26.4B$26.4B26.4B$27.4B26.4B$28.4B26.4B$29.4B26.4B$30.4B26.
4B$31.4B26.4B!
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Re: Still-life 'factories'

Postby ConwayOfTheAutomata » January 4th, 2016, 6:57 pm

New infinite block generator I made. Speed up and use auto zoom for best effect. Is it known?
#CXRLE Pos=2,29 Gen=93840
x = 35, y = 30, rule = B3/S23
13b2o$13b2o5$18b2o2$5b2o11b4o$5b2o6b2o4bo2bo$12bo7bobo$20b2o$33b2o$33b
2o7$25b2o$6bo18b2o$15b3o$bob2o10bobo$bobo6bo2b2o2bo$o4b2o3bo2b3o$bo8bo
2b3o$bo7bo2$5bo!
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Re: Still-life 'factories'

Postby thunk » January 4th, 2016, 7:17 pm

ConwayOfTheAutomata wrote:New infinite block generator I made. Speed up and use auto zoom for best effect. Is it known?
#CXRLE Pos=2,29 Gen=93840
x = 35, y = 30, rule = B3/S23
13b2o$13b2o5$18b2o2$5b2o11b4o$5b2o6b2o4bo2bo$12bo7bobo$20b2o$33b2o$33b
2o7$25b2o$6bo18b2o$15b3o$bob2o10bobo$bobo6bo2b2o2bo$o4b2o3bo2b3o$bo8bo
2b3o$bo7bo2$5bo!


Yes, this is the block-laying switch engine.
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The Evanston Express."
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Re: Still-life 'factories'

Postby Scorbie » January 4th, 2016, 8:35 pm

Huh, pretty impressive if you found this by hand! The rarest object I found by hand was the eater (Astonished when I saw its peculiar shape of that still life.)
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Re: Still-life 'factories'

Postby A for awesome » January 4th, 2016, 8:52 pm

Scorbie wrote:Huh, pretty impressive if you found this by hand! The rarest object I found by hand was the eater (Astonished when I saw its peculiar shape of that still life.)

I did actually find a naturally occurring block-laying switch engine in a large QuadLife soup once, and an unstabilized SE in the exhaust from a puffer in an exotic 30-state rule similar to Life. However, the next-rarest object I have found accidentally is probably the pulsar, which probably has been "rediscovered" more times than any other pattern in the history of Life (judging from the abundance of topics on this forum with titles such as "Natural p3 oscillator -- is it known?"). This does not, of course, count symmetrical patterns such as this p2:
x = 10, y = 10, rule = B3/S23
4b2o$3bo2bo$3bob2o$b2o2bob2o$o5b2obo$ob2o5bo$b2obo2b2o$3b2obo$3bo2bo$
4b2o!
It's probably about the second-most rediscovered pattern, because it forms from inserting two live cells into a bakery:
x = 10, y = 10, rule = B3/S23
4b2o$3bo2bo$3bobo$b2obo3bo$o2b2o2bobo$obo2b2o2bo$bo3bob2o$4bobo$3bo2bo
$4b2o!

There's also a way to "fudge" it from a fleet, but it's harder to explain.
In all, finding a switch engine accidentally is by no means easy, but also by no means unheard of.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

http://conwaylife.com/wiki/A_for_all

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Re: Still-life 'factories'

Postby Kazyan » January 11th, 2016, 11:44 pm

I can't figure out how to extract a signal, but there's a variety of glider-activated factories that can come of variants on this:

x = 27, y = 37, rule = B3/S23
10b2o$5b2o2bobo$5bo3bo$6b3ob4o$8bobo2bo$4b3obobo$3bo2bob2o$3b2o2$3b2o$
3bo2bo3b2o$4b3o2bo2bo$b3o6b2o$o3bo8b2o$b3o9bobo$4b3o6bo$3bo2bo$3b2o5$
9bo$8bobo$8bobo$9bo14b3o$24bo$25bo6$7b2o3b2o$8bo3bo$5b3o5b3o$5bo9bo!


This is one of few situations where the catalyst on the left cannot be replaced with a pair of fishhook eaters.
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Re: Still-life 'factories'

Postby Scorbie » January 11th, 2016, 11:59 pm

With a minimum repeat time of 46, this may yield a smaller color-changing SGR with a bounding box under 50x50 and repeat time under 50. (I think MikeP's prize still doesn't have a winner, right?)
Edit: And it would be the thinnest SGR...
@Kazyan You may have noticed this, but that was close...
x = 16, y = 37, rule = B3/S23
10b2o$5b2o2bobo$5bo3bo$6b3ob4o$8bobo2bo$4b3obobo$3bo2bob2o$3b2o2$3b2o$
3bo2bo3b2o$4b3o2bo2bo$b3o6b2o$o3bo8b2o$b3o9bobo$4b3o6bo$3bo2bo$3b2o5$
9bo$8bobo$8bobo$9bo8$12b2o$12bo$13b3o$15bo!
Best wishes to you, Scorbie
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Re: Still-life 'factories'

Postby Kazyan » January 15th, 2016, 10:56 pm

New nonspartan G->block, though I'm not sure if it's redundant:

x = 24, y = 25, rule = B3/S23
5bo7b2o$5b3o5bobob2o$8bo6bobo2bo$7b2o5b2obob2o$14bo2bo$15bobo$16bo2$
12b2o$12b2o3$20b2o$2o18bobo$2o20bo$22b2o6$14b2o6b2o$14bo6b2o$15b3o5bo$
17bo!


The larger still life is usually just a substitute for an eater, but occasionally it works where a fishhook can't, such as here.

EDIT: Variant:

x = 24, y = 25, rule = B3/S23
5bo7b2o$5b3o5bobob2o$8bo6bobo2bo$7b2o5b2obob2o$14bo2bo$15bobo$16bo2$
12b2o$12b2o3$20b2o$2o18bobo$2o20bo$22b2o6$9b2o11b2o$10bo10b2o$7b3o13bo
$7bo!
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Re: Still-life 'factories'

Postby Scorbie » January 16th, 2016, 2:18 am

Kazyan wrote:The larger still life is usually just a substitute for an eater, but occasionally it works where a fishhook can't, such as here.
Could you tell me where it both works? I tried some of the eater1 catalysis and it breaks the large one...
x = 28, y = 50, rule = B3/S23
21b2o$2o15b2obobo$bo13bo2bobo$bobo11b2obob2o$2b2o14bo2bo$5b2o11bobo2b
2o$5bobo11bo3bobo$6b2o16b2o13$21b2o$2o15b2obobo$bo13bo2bobo$bobo11b2ob
ob2o$2b2o14bo2bo$5b2o11bobo2b2o$5bobo11bo3bobo$5bo17bo13$23b2o$2o17b2o
bobo$bo15bo2bobo$bobo13b2obob2o$2b2o16bo2bo$5b3o12bobo2b3o$5b2o14bo3b
2o$5bo19bo$5bo19bo$5bo19bo!


EDIT: Ah, congrats :) I wish if there is a version of the bottom catalyst with more clearance.
Best wishes to you, Scorbie
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Re: Still-life 'factories'

Postby Kazyan » January 17th, 2016, 6:51 am

It works when a thumb spark interacts with the catalyst directly after the fishhook-like action occurs.

This one is just an edgy H->boat, but its novelty amuses me, so it's getting posted:

x = 25, y = 16, rule = B3/S23
23b2o$22bobo$22bo$21b2o$10b2o8bo$9bo2bo7b3o$9bo2bo10bo$10b2o10b2o5$o$o
bo$3o$2bo!
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Re: Still-life 'factories'

Postby Kazyan » September 2nd, 2016, 9:32 pm

G->Blinker:

x = 30, y = 30, rule = LifeHistory
4.2A$4.A5.2A$5.3A.A.A$7.A.A$8.2A3$C.C$.2C20.2A$.C20.A2.A$23.2A2$23.2A
$22.A.A$22.2A$26.2A$2.2A22.A.A$.A.A24.A$.A26.2A$2A7.2C$9.2C4$13.2A$9.
2A2.2A$8.A.A$8.A$7.2A!
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Re: Still-life 'factories'

Postby dvgrn » September 2nd, 2016, 10:03 pm

Kazyan wrote:G->Blinker...

X-to-blinker hasn't been mentioned before here, has it? Vaguely related, then: the H-to-blinker I know of with the best clearance for the blinker seems to be this one --

x = 42, y = 22, rule = LifeHistory
8.A$8.3A12.B.3B.B$11.A10.13B$10.2A3.B5.2B2A11BD3.2C$10.8B3.2B2A9B3DB
2.2C$12.8B.13BDB$12.22BD$11.15B.2B2.2B$9.17B$7.18B$7.2BC15B$6.3BCBC4B
.7B$7.2B3C13B$6.5BC14B$5.10B2.8B$4.4B11.6B$4.3B12.5B$2.4B14.BD2B$2.2A
16.BDB$3.A17.D$3A$A!

-- which is really just an Fx77 with an eater missing, so it can also be a blinker-factory-in-passing. Comes in handy every now and then.

Maybe this is a good place to throw in the H-to-blinker "blinker-keeper" from 2005, which also has fairly decent clearance. An even-period signal puts a blinker back if it's not there, but doesn't care if it is there:

#C p496 "blinker keeper" oscillator maintains an accessible blinker
#C toward its right edge, deleting and recreating if necessary
x = 130, y = 69, rule = B3/S23
57bo$$55bob3o$57boobo8bo$57boboo6b3o$58b3obo3bo$66boo$60bo$64bo$63bobo
$64boobboo$56bo11boo$54b3o$53bo$29bo23boo36boo$28boo13boo47bo$27boboo
13bo47boboo$26b3obbo12bobo43bobobo$28bobobo8bo3boo4boo33boobboobbo$29b
obobo5b3o8bobbo32boo6b3o$30bobb3obbo12boo44bo$31boobo3boo23boo31boo$
32boo29boo$32bo3bo$35bobo$36boobboo$29boo9boo$29boo3$50bo3boo$49boo3bo
19boo$49boo4b3o15bobo$49bo7bo15bo$72boo$3bo$bbobo$bbobo21bo99boo$boob
oo16boobbobo80b3o14bobo$22boobboo58boo40bo$booboo80boo4boo34boo$bboboo
34boo49bobo$o39bobo48bo$oo40bo47boo25boo$42boo73boo$$8boo$bboo4boo$bob
o27boo$bo29bobo$oo31bo$8boo23boo$8boo3$14bo$13bobo50boo$14bo47boobboo$
61bobo$58boobbo$$57bo3bobboo$56bo4bobbo$55bobobo5b3o$54bobobo8bo$52bo
4bo$52bo3bo$$54boo!

Then David Bell found a way to combine two copies, in a way that doesn't actually use the "keeper" function, to make medium-to-high-period guns. I doubt Snarks and bumpers can cut the speed down enough to get a gun below p1000, though:

#C p1134 gun based on David Bell's doubling of a blinker-keeper
#C p1110+24N, N=1: Dave Greene, 13 November 2005
x = 98, y = 74, rule = B3/S23
51bo$26bo12boo10b3o10boo$26b3o9bobbo12bo8bobbo$29bo8bobobo10boo8bobobo
$28boo7boobobo19boobobo$39boboboo11bo4bo4boboo$31bobboobboobobbo10bobo
3boobobobbo$30bobo7boboboboo3boobboo4bo3boobboboo$26boobboo5boobob3obb
o3boo9boobboboobbo$26boo10bobbo3boo16bobobobboo$38bob5o18bob5o$39bo4bo
13bo5bo4bo$40b4o15bo5b4o$42bo14b3o7bo$44bo24bo$7boo34boo23boo$7bobo$9b
o$5b4oboobboo$5bobbobobobbo$3boobbo4boo$bbobboobboobo44bo$boboobboobob
o18boo22b3o$bo3bo5bo20bo21bo$bb3obob3o21bobo19boo$4bobobo24boo$63boo$
5b3o18bo36boo$25bobo$25bobo$6bo16b3oboo$5bobo14bo$6boo15b3oboo$bboo21b
oboo$bobo68boo$bo5boo63boo$oo5boo$89boo5boo$24boo63boo5bo$24boo68bobo$
41bo27boobo21boo$41bo27boob3o15boo$41bo33bo14bobo$69boob3o16bo$70bobo$
70bobo$33boo36bo$33boo$89b5o$42boo43b3obob3o$43bo42bo4bo4bo$40b3o42bob
oobobboobo$40bo44bobo3boobbo$84boobobbobboo$82bobbobo4bo$82boobboob4o$
88bo$53boo33bobo$28boo23bo35boo$28bo26bo$30bo23b4o$29b4o20bo4bo$28bo4b
o19b5obo$28b5obo16boobbobobo$26boo3bobbo15bobboobobboo9boo$25bobb3obob
oo9boo3boobobboo3bo4boobboo$25boobobobo8boobboo6bobboboboo3bobo$28bobb
oboobboobobo10boobo4bo4bo$28boobobo7bo13boboboo$30boboboo19bobobo8boo$
30bobobo8boo11bobbo8bo$31bobbo8bo13boo10b3o15bo$32boo10b3o24bo16bo$46b
o39b3o!
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Re: Still-life 'factories'

Postby gmc_nxtman » September 2nd, 2016, 10:36 pm

Kazyan wrote:G->Blinker:

x = 30, y = 30, rule = LifeHistory
4.2A$4.A5.2A$5.3A.A.A$7.A.A$8.2A3$C.C$.2C20.2A$.C20.A2.A$23.2A2$23.2A
$22.A.A$22.2A$26.2A$2.2A22.A.A$.A.A24.A$.A26.2A$2A7.2C$9.2C4$13.2A$9.
2A2.2A$8.A.A$8.A$7.2A!


Nice! It can be trivially turned into a g-to-block:

x = 31, y = 28, rule = LifeHistory
11.2A$5.A.2A.A.A3.2A$5.2A.A.A5.A$9.2A6.A$16.2A3$24.2A$23.A2.A$24.2A2$
24.2A$23.A.A$23.2A$2A.A5.A.A15.2A$A.2A6.2A15.A.A$10.A18.A$29.2A$10.2C
$10.2C4$14.2A$10.2A2.2A$9.A.A$9.A$8.2A!


EDIT: It can also lengthen a boat into a longboat, but this can be done simpler:

x = 31, y = 28, rule = LifeHistory
11.2A$5.A.2A.A.A$5.2A.A.A10.2A$9.2A9.A.A$21.A3$24.2A$23.A2.A$24.2A2$
24.2A$23.A.A$23.2A$2A.A5.A.A15.2A$A.2A6.2A15.A.A$10.A18.A$29.2A$10.2C
$10.2C4$14.2A$10.2A2.2A$9.A.A$9.A$8.2A!
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Re: Still-life 'factories'

Postby dvgrn » September 3rd, 2016, 11:51 am

gmc_nxtman wrote:Nice! It can be trivially turned into a g-to-block...

EDIT: It can also lengthen a boat into a longboat, but this can be done simpler...

The G-to-blinker can also convert a boat to a toad, but I'm trying hard to resist the impulse to post a pattern. Like the block and the longboat, it doesn't look like it could ever be used for anything, as far as this "factory" thread goes -- too many catalysts surrounding the output. EDIT: Thanks to Extrementhusiast's unwarranted optimism below, here's the boat->toad reaction, which probably really belongs in some synthesis thread or other, except it looks too expensive to be worth anything:

x = 31, y = 28, rule = LifeHistory
11.2A$5.A.2A.A.A$5.2A.A.A9.A$9.2A8.A.A$19.2A3$24.2A$23.A2.A$24.2A2$
24.2A$23.A.A$23.2A$2A.A5.A.A15.2A$A.2A6.2A15.A.A$10.A18.A$29.2A$10.2C
$10.2C4$14.2A$10.2A2.2A$9.A.A$9.A$8.2A!

Anyway, the G-to-blinker is another really nice near-miss. It's kind of surprising that it's been so hard to find a way to get another clean simple signal out from a glider-input conduit, since the Snark and the syringe. I'm still really hoping for a nice color-changing and/or Spartan G-to-G, G-to-H, or (especially?) G-to-2G.

That doesn't seem to mean I'm spending much time running these kinds of searches again myself, though. Maybe one of these years.
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Re: Still-life 'factories'

Postby Extrementhusiast » September 4th, 2016, 12:04 am

dvgrn wrote:
gmc_nxtman wrote:Nice! It can be trivially turned into a g-to-block...

EDIT: It can also lengthen a boat into a longboat, but this can be done simpler...

The G-to-blinker can also convert a boat to a toad, but I'm trying hard to resist the impulse to post a pattern. Like the block and the longboat, it doesn't look like it could ever be used for anything, as far as this "factory" thread goes -- too many catalysts surrounding the output.

Au contraire—it could be used for synthesis.
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Re: Still-life 'factories'

Postby Kazyan » September 21st, 2016, 8:03 pm

A new one, G->frustration:

x = 30, y = 34, rule = LifeHistory
14.2B5.3B$14.3B3.5B$13.5B.6B$13.14B$13.15B$10.18B$9.18B$4.A4.17B$3.A.
A4.16B$3.A.A5.B2C10B2D$.3A.2A3.2B2C10B2D$A4.B4.14B$.3AB2AB2.12B$3.A.
2AB.13B$5.6B2D10B$7.4BDBD11B3.B$5.7BD13B.B2A$4.3D21B2A$5.24B$5.3BD20B
$4.4BD13B4.B$3.5BD12B$2.4B.14B$.C3B3.14B$B2CB3.14B$CBC4.13B$7.6B.5B$
8.3B2AB$9.2B2A$7.5B$7.2A$8.A$5.3A$5.A! 
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