## B3-ckq/S2-c34ci: Pi-plicator

For discussion of other cellular automata.
FlameandFury
Posts: 118
Joined: May 18th, 2016, 10:07 pm

### B3-ckq/S2-c34ci: Pi-plicator

The Pi-heptomino + blinker is an odd replicator in this rule. You can make guns out of it:

Code: Select all

``````x = 26, y = 27, rule = B3-ckq/S2-c34ci
22b2o\$22b2o3\$2o\$2o2\$6bo\$5b3o\$5bobo2\$2b3o11\$24b2o\$24b2o2\$3b2o\$3b2o!``````

Code: Select all

``````x = 73, y = 62, rule = B3-ckq/S2-c34ci
8b2o\$8b2o7\$20b3o5b2o\$9bo10bobo5b2o\$9bo10bobo28b2o\$24bo26b2o\$10bo13bo\$
24bo3\$5bo\$5bo\$5bo65b2o\$7bobo61b2o\$2o5bobo\$2o5b3o5\$43b3o\$47b3o3\$49b2ob
2o\$19b2ob2o26b3o\$19bo3bo27bo\$20bo2bo\$20bobo\$17b3o2\$8bo\$7bobo53b2o\$6bo
3bo52b2o\$2o4bo3bo\$2o4b2ob2o3\$4b3o4\$58bo\$23b3o30bobo\$57b2o2\$19b2ob2o4b
2o\$19bo3bo4b2o\$19bo3bo\$20bobo\$21bo4\$8b2o\$8b2o!``````
what is sesame oil?

Posts: 1940
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: B3-ckq/S2-c34ci: Pi-plicator

Also this one, which I built about half an hour after AbhpzTa's smaller one:

Code: Select all

``````x = 57, y = 49, rule = B3-ckq/S2-c34ci
8b2o\$8b2o7\$28b2o\$28b2o10\$20bo26b2o\$2o18b2o25b2o\$2o19b2o\$20b2o\$17bo2bo\$
17bo\$17bo2\$25b3o\$47bo\$47bo2\$28bo17bo\$28bo\$28bo2\$51bo\$19bo31bo\$19bo31bo
\$19bo27bobo\$47bobo5b2o\$47b3o5b2o7\$35b2o\$35b2o!
``````
More novel guns could be found if and when someone does a search for artificial turns (i.e. other than the 27-tick one the known guns use).
This is a promising start with no easy finish:

Code: Select all

``````x = 18, y = 13, rule = B3-ckq/S2-c34ci
12bo\$12bo\$12bo\$3o5bobo6bo\$8bobo6bo\$8b3o6bo5\$2bo\$2bo\$2bo!
``````
The closest I got:

Code: Select all

``````x = 18, y = 22, rule = B3-ckq/S2-c34ci
12bo\$12bo\$12bo\$3o5bobo6bo\$8bobo6bo\$8b3o6bo5\$2bo\$2bo\$2bo7\$6b3o\$15b2o\$
15b2o!
[[ AUTOSTART STOP 54 ZOOM 16.0 ]]
``````
A small, clean B termination, should any appear:

Code: Select all

``````x = 11, y = 6, rule = B3-ckq/S2-c34ci
2o\$b2o\$2o\$o\$9b2o\$9b2o!
``````
Unit-to-glider:

Code: Select all

``````x = 10, y = 31, rule = B3-ckq/S2-c34ci
9bo\$9bo\$9bo9\$o\$o\$o9\$3b3o\$5bo\$3b3o2\$3o3\$4b2o\$4b2o!
``````
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

AbhpzTa
Posts: 485
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: B3-ckq/S2-c34ci: Pi-plicator

Canonical orientation:

Code: Select all

``````x = 40, y = 53, rule = B3-ckq/S2-c34ci
3b3o27b3o\$5bo29bo\$3b3o27b3o\$38b2o\$3o35b2o\$33bo\$33b3o\$36bo\$35b2o19\$25b
2o2\$25b2o4b2o\$30b4o\$29bobob2o\$29bobobo\$30b3o5b2o\$31bo6b2o\$33bo\$33b3o\$
36bo\$35b2o6\$33bobo2\$36bo2\$26bobobo4bo2\$36bo2\$33bobo!``````
Conduits:
L27(33):

Code: Select all

``````x = 50, y = 9, rule = B3-ckq/S2-c34ci
3b3o37b3o\$5bo39bo\$3b3o37b3o2\$3o37b3o2\$7b2o\$7b2o39b2o\$48b2o!``````
F56(36):

Code: Select all

``````x = 11, y = 15, rule = B3-ckq/S2-c34ci
2o\$2o5\$4b3o\$6bo\$4b3o\$9b2o\$9b2o\$4bo\$4b3o\$7bo\$6b2o!``````
L95(44):

Code: Select all

``````x = 25, y = 17, rule = B3-ckq/S2-c34ci
2b2o\$3bo\$obo17b2o\$2o17bobo\$19b2o\$23b2o\$17b2o3bobo\$17b2o3b2o\$3b3o\$5bo\$
3b3o\$8b2o\$8b2o\$3bo\$3b3o\$6bo\$5b2o!``````
F97(50):

Code: Select all

``````x = 99, y = 24, rule = B3-ckq/S2-c34ci
16b2o58b2o\$16b2o58b2o\$89b2ob2o\$90bobo\$26b2o58b2o2bobo\$26b2o58bobo2bo\$
89b2o\$2b2o58b2o\$3bo59bo\$obo57bobo\$2o58b2o4\$97b2o\$3b3o12b2o43b3o12b2o
17b2o\$5bo12b2o45bo12b2o12bo\$3b3o57b3o26b3o\$8b2o58b2o25bo\$8b2o58b2o24b
2o\$3bo59bo\$3b3o57b3o\$6bo59bo\$5b2o58b2o!``````
R49(45):

Code: Select all

``````x = 17, y = 57, rule = B3-ckq/S2-c34ci
3bob2o3b2o\$3b4o3bobo\$7b2o2b2o\$6b4o\$9b2o\$9bo\$8bo2\$15b2o\$15b2o\$2o\$2o7\$
11b2o\$11b2o19\$7bobobo2\$10bo\$obobo\$9bo2\$8bo2\$8bo4\$3bob2o\$3b4o\$7b2o\$6b4o
\$9b2o\$9bo\$8bo!``````

EDIT:
Conduit collection:

Code: Select all

``````x = 991, y = 961, rule = B3-ckqS2-c34ciHistory
250.661F\$250.F59.F59.F59.F59.F119.F59.F59.F59.F59.F59.F\$250.F59.F59.F
59.F59.F119.F59.F119.F59.F59.F\$250.F59.F59.F59.F59.F119.F59.F119.F59.
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195.4D51.F59.F59.F59.F59.F119.F59.F23.B11.B47.B11.B23.F59.F23.3B3.B7.
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44.F25.2B.6B2A.2A30.F32.3D4.E.E27.F\$25.5D8.5D6.5D8.5D5.4D12.4D4.4D21.
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F\$27.14D10.14D7.4D12.4D4.4D23.14D10.14D13.8D18.4D12.20D14.F18.7B44.F
18.21B.B28.F29.6B3.2A29.F179.F16.3D2.5D60.3D3.3D44.F69.F41.2E26.F\$29.
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61F!``````
Last edited by AbhpzTa on October 3rd, 2016, 2:11 pm, edited 1 time in total.
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

Posts: 1940
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: B3-ckq/S2-c34ci: Pi-plicator

Might I ask how you found these?
And are there any conduits that can convert a Pi+Blinker to a clean Pi?
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

AbhpzTa
Posts: 485
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: B3-ckq/S2-c34ci: Pi-plicator

BlinkerSpawn wrote:Are there any conduits that can convert a Pi+Blinker to a clean Pi?
Yes.
Here's a duplicator. F117_Rx166(45):

Code: Select all

``````x = 22, y = 39, rule = B3-ckq/S2-c34ci
17b2o\$17b2o6\$2b2o\$3bo\$obo\$2o5\$3b3o\$5bo\$3b3o\$8b2ob2o\$9bobo\$3bo2b3o2bo\$
3b4o2b2o\$8bo\$3b2o2b2o\$3b2o3\$5b2o\$5b2o\$20b2o\$20b2o7\$9b2o\$9b2o!``````
F117(44), Rx166(45):

Code: Select all

``````x = 90, y = 51, rule = B3-ckq/S2-c34ci
3o2bobob3o48b2o7bob3ob3o\$o4bobo3bo48bobo6bobo3bo\$2o3bobo3bo48b2o2bobo
2bob3ob3o\$o4bobo3bo48bobo2bo3bobobobobo\$o4bobo3bo48bobobobo2bob3ob3o8\$
17b2o58b2o\$17b2o58b2o6\$2b2o58b2o\$3bo59bo\$obo57bobo\$2o58b2o5\$3b3o57b3o\$
5bo59bo\$3b3o57b3o\$8b2o58b2ob2o\$8b2o59bobo\$3bo59bo2b3o2bo\$3b3o57b4o2b2o
\$6bo6b2o53bo19b2o\$5b2o6b2o48b2o2b2o19b2o\$63b2o3\$65b2o\$65b2o\$80b2o\$80b
2o7\$69b2o\$69b2o!``````
Rx90(44):

Code: Select all

``````x = 25, y = 28, rule = B3-ckq/S2-c34ci
17b2o\$17b2o6\$2b2o\$3bo\$obo\$2o5\$3b3o\$5bo\$3b3o\$8b2o4b2o\$8b2o5bo\$3bo8bobo\$
3b3o6b2o\$6bo\$5b2o3\$23b2o\$23b2o!``````
Rx146(44): ( = Rx90 + F56 )

Code: Select all

``````x = 25, y = 28, rule = B3-ckq/S2-c34ci
17b2o\$17b2o6\$2b2o\$3bo\$obo\$2o5\$3b3o8b2o\$5bo8bo\$3b3o5b2obo\$8bobobob2o\$8b
2o\$3bo\$3b3o\$6bo\$5b2o3\$23b2o\$23b2o!``````
Last edited by AbhpzTa on September 12th, 2016, 2:43 pm, edited 2 times in total.
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

Posts: 1940
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: B3-ckq/S2-c34ci: Pi-plicator

I'm under the impression that it may well be possible now or in the near future to construct guns of any period > 50:

Code: Select all

``````x = 39, y = 59, rule = B3-ckq/S2-c34ci
17b2o\$17b2o6\$2b2o\$3bo\$obo\$2o3\$33b2o\$33b2o\$3b3o22b2o\$5bo22b2o\$3b3o\$8b2o
b2o\$9bobo\$3bo2b3o2bo\$3b4o2b2o\$8bo\$3b2o2b2o\$3b2o3\$5b2o\$5b2o\$20b2o15b2o\$
20b2o15b2o7\$9b2o\$9bo\$6bo3bo\$6b4obo\$11bo\$8bobo\$8b2o11b2o\$22bo\$22bobo\$
23b2o2\$19b2o\$19b2o4\$23b2o\$23b2o3\$b2o\$b2o!
``````
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

### Re: B3-ckq/S2-c34ci: Pi-plicator

All we need are two sparks:

Code: Select all

``````x = 5, y = 5, rule = B3-ckq/S2-c34ci
4bo\$ob2o\$2b2o\$ob2o\$4bo!
``````
Blinkers are left behind:

Code: Select all

``````x = 181, y = 56, rule = B3-ckq/S2-c34ci
179b2o\$179b2o5\$160b2o\$160b2o5\$141b2o\$141b2o5\$122b2o\$122b2o5\$103b2o\$
103b2o5\$84b2o\$84b2o5\$65b2o\$65b2o5\$46b2o\$46b2o5\$27b2o\$27b2o2\$3b3o\$5bo\$
3b3o\$8b2o\$3o5b2o!
``````
Block+Glider=Block+Glider:

Code: Select all

``````x = 7, y = 4, rule = B3-ckq/S2-c34ci
5b2o\$2o3b2o\$b2o\$o!
``````
Another eater:

Code: Select all

``````x = 6, y = 9, rule = B3-ckq/S2-c34ci
2obobo\$2ob3o2\$3b3o\$3bobo2\$3b2o\$2bobo\$4bo!
``````
Weird reaction:

Code: Select all

``````x = 15, y = 12, rule = B3-ckq/S2-c34ci
2b2o\$2b2o\$6bobo\$6bobo\$2o4b3o4b2o\$obo10b2o\$2bo\$2b2o\$4bo\$4b3o\$7bo\$6b2o!
``````
p4:

Code: Select all

``````x = 6, y = 5, rule = B3-ckq/S2-c34ci
2o\$bo2b2o\$2o2b2o\$2bo\$b2o!
``````
\100\97\110\105

AbhpzTa
Posts: 485
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: B3-ckq/S2-c34ci: Pi-plicator

BlinkerSpawn wrote:I'm under the impression that it may well be possible now or in the near future to construct guns of any period > 50:

Code: Select all

``````x = 39, y = 59, rule = B3-ckq/S2-c34ci
17b2o\$17b2o6\$2b2o\$3bo\$obo\$2o3\$33b2o\$33b2o\$3b3o22b2o\$5bo22b2o\$3b3o\$8b2o
b2o\$9bobo\$3bo2b3o2bo\$3b4o2b2o\$8bo\$3b2o2b2o\$3b2o3\$5b2o\$5b2o\$20b2o15b2o\$
20b2o15b2o7\$9b2o\$9bo\$6bo3bo\$6b4obo\$11bo\$8bobo\$8b2o11b2o\$22bo\$22bobo\$
23b2o2\$19b2o\$19b2o4\$23b2o\$23b2o3\$b2o\$b2o!
``````
Actually periods 36,37,38,39,41, and 43 and above.

EDIT: Fx83p2(40):

Code: Select all

``````x = 22, y = 22, rule = B3-ckq/S2-c34ci
10bo\$10bo\$10bo3\$3b3o6\$3b3o\$5bo14b2o\$3b3o14b2o2\$3o2\$18b2o\$17bobo\$16bo\$
15bo\$15b2o!``````
So, p40 and p42 guns are also constructible.
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

glider_rider
Posts: 88
Joined: February 20th, 2013, 5:41 pm
Location: CA

### Re: B3-ckq/S2-c34ci: Pi-plicator

This is a cool rule.

p4, 2 p10s, p13, and some c/2 spaceships and puffers, as well as a c/4 wickstretcher.

Code: Select all

``````x = 45, y = 66, rule = B3-ckq_S2-c34ci
38bobo\$17b2ob2o16b3o\$19bo2bo19b3o\$22bo15b3o\$21bo16bobo\$22bo\$22bo3\$5b2o
31bo\$bobo2bo10bobo3bobo12bob2o\$bo2bobob2o7bo2bobo2bo15bo\$4bobob2o10bob
o15bob2o\$3b2obo12b2ob2o14bo\$o5bo\$6o13b2ob2o\$20bobo\$2b2o13bo2bobo2bo\$2b
2o13bobo3bobo13bo\$40bo\$40bo\$38b3o2\$38b3o\$40bo\$22bo2b2o13bo\$23b3o13bo\$
24bo5\$21bo\$20b3o15b2o\$19b2o2bo14bobo\$40b2o\$38b3o2\$39b2o\$40b2o\$39b2o\$
39bo5\$38b2o\$38bobo\$40b2o\$38b3o2\$39b2o\$40b2o\$39b2o\$39bo3\$39bo\$39b2o\$40b
2o\$39b2o2\$38b3o\$40b2o\$38bobo\$38b2o!
``````
Nico Brown

Rocknlol
Posts: 83
Joined: April 15th, 2012, 9:06 am

### Re: B3-ckq/S2-c34ci: Pi-plicator

c/3, c/4, and c/6 spaceships:

Code: Select all

``````x = 58, y = 11, rule = B3-ckq/S2-c34ci
21b4o3b4o\$20bo4bobo4bo2\$21bo9bo\$b2o18bob3ob3obo\$o20bobo5bobo13b2o8b2o\$
bobo4bo10b2o11b2o10bo12bo\$2bo2bo13bo13bo11bo2bo4bo2bo\$3bo3b2o11bobo7bo
bo12b2o8b2o\$4b4o38bo2bo2bo2bo\$5bo14b3o7b3o14b3o2b3o!
``````
EDIT: Here's a c/5 as well:

Code: Select all

``````x = 21, y = 13, rule = B3-ckq/S2-c34ci
4bob3o3b3obo\$2b2obo3bobo3bob2o\$b2o2bo9bo2b2o\$6b2o5b2o\$b2o4bo5bo4b2o\$2b
o2bobobobobobo2bo\$5bo2b2ob2o2bo\$4bo11bo\$4bo2bo5bo2bo\$4bo3bo3bo3bo\$4bo
4bobo4bo\$7b3ob3o\$6o9b6o!
``````

AbhpzTa
Posts: 485
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: B3-ckq/S2-c34ci: Pi-plicator

L120(57):

Code: Select all

``````x = 26, y = 25, rule = B3-ckq/S2-c34ci
11b2o\$12bo\$9bobo\$9b2o5\$2b2o20b2o\$3bo19bobo\$obo19bo\$2o20b2o5\$3b3o\$5bo\$
3b3o\$8b2o\$8b2o\$3bo\$3b3o\$6bo\$5b2o!``````
SGR/converter(364):

Code: Select all

``````x = 144, y = 131, rule = B3-ckq/S2-c34ci
2bo\$obo\$b2o84\$75b2o\$75b2o65b2o\$142b2o\$114b2o\$114b2o\$93bo\$91bobo\$92b2ob
2o\$95b2o44b2o\$118b3o20b2o\$120bo\$118b3o\$123b2o\$123b2o\$118bo2bo\$85b2o31b
4o\$85bo\$86bobo29b2o\$74b2o11b2o29b2o\$74bo\$72bobo\$72b2o19b2o\$93b2o\$76b2o
50b2o\$76b2o50bobo\$129b2o2\$107b2o\$108bo\$105bobo\$105b2o7\$85b2o\$85bobo25b
2o\$88bo24b2o\$87b2o19bo2bo\$108b4o2\$108b2o\$108b2o!``````

Slow salvo:

Code: Select all

``````x = 333, y = 337, rule = B3-ckq/S2-c34ci
326b3o2b2o\$328bo2b2o\$327bo25\$293b3o\$295bo\$294bo25\$260b3o\$262bo\$261bo
31\$233b3o\$235bo\$234bo26\$202b2o\$201bobo\$203bo33\$176b3o\$178bo\$177bo25\$
143b3o\$145bo\$144bo30\$115b3o\$117bo\$116bo23\$81b2o\$80bobo\$82bo40\$63b2o\$
62bobo\$64bo25\$30b2o\$29bobo\$31bo29\$3o\$2bo\$bo!``````
EDIT:
Rx62(49):

Code: Select all

``````x = 15, y = 9, rule = B3-ckq/S2-c34ci
10b2o\$11bo\$11bob2o\$3b3o4b2obo\$5bo7b2o\$3b3o4b2obo\$11bob2o\$3o8bo\$10b2o!``````
Last edited by AbhpzTa on September 8th, 2016, 3:02 pm, edited 1 time in total.
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

wildmyron
Posts: 1344
Joined: August 9th, 2013, 12:45 am

### Re: B3-ckq/S2-c34ci: Pi-plicator

AbhpzTa wrote:
BlinkerSpawn wrote:I'm under the impression that it may well be possible now or in the near future to construct guns of any period > 50:

Code: Select all

``RLE:  F117_Rx166(45) + L90(44)  [L90 is Rx90 flipped?]``
Actually periods 36,37,38,39,41, and 43 and above.
EDIT: <snip>
So, p40 and p42 guns are also constructible.
It's not quite clear to me if this means that the following construction is now redundant, but here's a p98 gun:

Code: Select all

``````x = 135, y = 118, rule = B3-ckq/S2-c34ci
9\$73b2o\$73bo\$74bo\$75bobo20b2o\$76b2o20b2o3\$46b2o5b2o\$43bobobo5bobo22b2o
\$34b2o6bo4bo5bob2o21b2o\$35bo6bo3bobo3bob2o27b2o\$32b3o8b6o3b3o29bo\$32bo
48bobo\$37b2o42b2o\$33b2o2b2o\$33bobo26bo\$35b2o25bo51b2o13b2o\$33bob2o25bo
51b2o13b2o\$33b2o49b3o22b2o\$11b2o73bo22b2o\$11b2o54b3o14b3o\$89b2ob2o\$29b
2o59bobo\$29bobo52bo2b3o2bo\$32bo51b4o2b2o8bo3bo\$31b2o56bo9b2o3b2o\$84b2o
2b2o8b2o5b2o\$84b2o13bob3obo\$29b2o69b5o\$29b2o71bo\$86b2o\$33b2o11b2o38b2o
\$32bobo11b2o53b2o15b2o\$32bo68b2o15b2o\$18b2o6b3o2b2o\$18bobo5bo2bo\$21bo
4bo2bo\$20b2o4bo2bo\$27b2o\$16b2o\$16b2o6bo65b2o\$11b2o10bobo64b2o\$12bo10bo
bo\$11bo12bo\$8bobo\$8b2o\$91bo9bo\$91bo\$91bo9bo2b3o\$28bo75b3o\$28bo77bo\$28b
o73b3o\$102bo\$86b3o15bo2\$104bo\$23b3o77bo\$99b2ob2o\$100b3o3b2o\$101bo3bobo
\$104bo\$103bo\$24b2o77b2o\$24b2o72b2o\$17bo80b2o\$16b3o4bo\$16bob2o2bobo69b
2o\$17bo4bobo69bo\$23bo71bobo\$83b2o11b2o\$13b2o68bo\$13b2o53b2o11bobo\$20bo
bo5b2o38b2o11b2o\$20bobo5b2o\$85b2o9b2o\$21bo63b2o9b2o\$b2o18bo8b2o37bo\$b
2o23b2o2b2o36b3o6bo\$26bo40b2obo5bobo4b2o10b3o\$24b2o2b4o36bo7bobo4bo11b
o2b2o\$23bo2b3o2bo37b2o4b4o5bobo9b3o\$23bobo48b3o8b2o10bo\$22b2ob2o20bo
24b3o\$47bo55b2o\$47bo55b2o3\$52b3o2\$77b2o\$23bo9b2o42b2o\$19b2o2bo8bobo48b
o\$18bobo2bob2o4bo49b3o\$17b2o3b2ob2o4b2o39b2o6bo\$18b3ob2o12b2o34b2o6b2o
\$19b4o13b2o3b3o\$40bo2bo2\$41b3obo2b2o\$16b2o20b2o6bob2o\$16b2o20bobo2bobo
\$41bo2bo\$42bo\$41b2o!``````
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

AbhpzTa
Posts: 485
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: B3-ckq/S2-c34ci: Pi-plicator

More conduits:
Rx52(53):

Code: Select all

``````x = 15, y = 14, rule = B3-ckq/S2-c34ci
7b2o\$7b2o4\$3b3o\$5bo\$3b3o2\$3o2\$13b2o\$12bobo\$12b2o!``````
F114(68):

Code: Select all

``````x = 24, y = 23, rule = B3-ckq/S2-c34ci
17b2ob2o\$17b2obo\$21bo\$20b2o2\$20b2o\$2b2o17bo\$3bo17bobo\$obo19b2o\$2o5\$3b
3o\$5bo\$3b3o\$8b2o\$8b2o\$3bo\$3b3o\$6bo\$5b2o!``````
L111(44):

Code: Select all

``````x = 27, y = 22, rule = B3-ckq/S2-c34ci
22b2o\$23bo\$22b2ob2o\$25bo\$22b2obo\$2b2o19bob2o\$3bo19bo\$obo19b2o\$2o5\$3b3o
\$5bo\$3b3o\$8b2o\$8b2o\$3bo\$3b3o\$6bo\$5b2o!``````
F63(34):

Code: Select all

``````x = 15, y = 57, rule = B3-ckq/S2-c34ci
3bob2o3b2o\$3b4o3bobo\$7b2o2b2o\$6b4o\$9b2o\$9bo\$8bo8\$7bo2bobobo\$7b4ob3o2\$
9b4o\$9bo2bo20\$7bobobo2\$10bo\$obobo\$9bo2\$8bo2\$8bo4\$3bob2o\$3b4o\$7b2o\$6b4o
\$9b2o\$9bo\$8bo!``````
p34 glider gun:

Code: Select all

``````x = 110, y = 54, rule = B3-ckq/S2-c34ci
78bo2bo\$78b4o24b2o\$106b2o\$76b4ob3o\$76bo2bobobo\$95bo\$57bo2bo36b2o\$57b4o
22b4o7bo4bo\$80b3o3b2o11bo\$55b4ob3o21bo2b2o6b2ob2o\$55bo2bobobo18b2obo2b
o9bo\$81b3ob2o6b4o\$36bo2bo31b4o18bobo\$36b4o34b2o\$62b3o5bo2bob2o\$34b4ob
3o16b3o3bo5b2o3bo\$34bo2bobobo22bo6bob2o5b2o\$37bo21bo3bo7b2o6bobo10b2o
11b3o\$15bo2bo18b2o20b2o18b2o10bobo\$15b4o18bo12b3o38b2o9bobo\$34bo3b3o
11bo49b3o\$13b4ob3o14bo4b2o7bo2bo50bo\$13bo2bobobo18b2o9b2o7b2o\$39bo18bo
bo10b2o35b2o\$58b2o10bobo35b2o\$14b3o53b2o7b3o10b4o\$14bo2bo11b3obo42bob
3obo9bo3bo\$13bo3bo9bob3obo42bob3o11bo2bo\$14b4o10b3o7b2o53b3o\$2o35bobo
10b2o\$2o35b2o10bobo18bo\$49b2o7b2o9b2o18bobobo2bo\$6bo50bo2bo7b2o4bo14b
3ob4o\$5b3o49bo11b3o3bo\$5bobo9b2o38b3o12bo18b4o\$16bobo10b2o18b2o20b2o
18bo2bo\$2b3o11b2o10bobo6b2o7bo3bo21bo\$28b2o5b2obo6bo22bobobo2bo\$34bo3b
2o5bo3b3o16b3ob4o\$33b2obo2bo5b3o\$34b2o34b4o\$14bobo18b4o31bo2bo\$13b4o6b
2ob3o\$12bo9bo2bob2o18bobobo2bo\$10b2ob2o6b2o2bo21b3ob4o\$10bo11b2o3b3o\$
10bo4bo7b4o22b4o\$11b2o36bo2bo\$14bo\$26bobobo2bo\$3b2o21b3ob4o\$3b2o\$28b4o
\$28bo2bo!``````

EDIT:
B22(44):

Code: Select all

``````x = 20, y = 57, rule = B3-ckq/S2-c34ci
4bob2o3b2o\$4b4o3bobo\$8b2o2b2o\$7b4o\$10b2o\$10bo\$9bo2\$15b2ob2o\$16bobo\$2o
13b2ob2o\$2o8\$8b2o\$7bobo\$6bo\$6b2o16\$8bobobo2\$11bo\$bobobo\$10bo2\$9bo2\$9bo
4\$4bob2o\$4b4o\$8b2o\$7b4o\$10b2o\$10bo\$9bo!``````
B78(37): ( = B22 + F56 )

Code: Select all

``````x = 20, y = 57, rule = B3-ckq/S2-c34ci
4bob2o3b2o\$4b4o3bobo\$8b2o2b2o\$7b4o\$10b2o\$10bo\$9bo2\$15b2ob2o\$16bobo\$2o
13b2ob2o\$2o8\$9bo\$9b3o\$12bo\$11b2o16\$8bobobo2\$11bo\$bobobo\$10bo2\$9bo2\$9bo
4\$4bob2o\$4b4o\$8b2o\$7b4o\$10b2o\$10bo\$9bo!``````
EDIT 2:
Converter(52):

Code: Select all

``````x = 58, y = 60, rule = B3-ckq/S2-c34ci
2bo\$obo\$b2o11\$15bo\$13bobo\$14b2o7\$53b2o\$35b2o16b2o\$35b2o19b2o\$56b2o2\$
41b3o\$41bobo\$41bobo\$39bo\$39bo\$39bo11\$42b2o\$42b2o2\$34b2o\$34b2o11b2o\$47b
obo\$48b2o7\$36b2o\$36bobo\$39bo4b2o\$38b2o4b2o!``````
EDIT 3:
F49(30):

Code: Select all

``````x = 9, y = 20, rule = B3-ckq/S2-c34ci
7b2o\$7b2o4\$3b3o\$5bo\$3b3o2\$3o6\$b2obobobo\$b2ob5o2\$4b3o\$4bobo!``````
R70(44):

Code: Select all

``````x = 20, y = 26, rule = B3-ckq/S2-c34ci
16bobo\$16b3o2\$16b3o\$16bobo5\$2b2o\$3bo\$obo\$2o5\$3b3o\$5bo12b2o\$3b3o12b2o\$
8b2o\$8b2o\$3bo\$3b3o\$6bo\$5b2o!``````
F130(44):

Code: Select all

``````x = 19, y = 26, rule = B3-ckq/S2-c34ci
16bobo\$16b3o2\$16b3o\$16bobo5\$2b2o\$3bo\$obo\$2o3\$15b2o\$15b2o\$3b3o\$5bo\$3b3o
\$8b2o\$8b2o\$3bo\$3b3o\$6bo\$5b2o!``````
Rx56_L56(51):

Code: Select all

``````x = 13, y = 21, rule = B3-ckq/S2-c34ci
5bob2o\$5b2obo2b2o\$10bobo\$5b2o3b2o\$5b2o5\$3b3o\$5bo\$3b3o2\$3o6\$5b2o\$5b2o!``````
EDIT 4:
p33 glider gun:

Code: Select all

``````x = 197, y = 61, rule = B3-ckq/S2-c34ci
170bobo\$170b3o2\$151bobo13b2ob5o18b2o\$151b3o13b2obobobo18b2o2\$132bobo
13b2ob5o15bo\$132b3o13b2obobobo14b3o12b3o\$172bo\$113bobo13b2ob5o32b2o2b
2o13b3o\$113b3o13b2obobobo33bo3b2o14bo\$161bo10bobo13b3o\$94bobo13b2ob5o
30bo12b2o5bo2b3o\$94b3o13b2obobobo14b3o13bo13b2o\$132bobo13bo11bobo6b2o\$
75bobo13b2ob5o32b2o2b2o13b2o8b2o7b2o\$75b3o13b2obobobo33bo3bo14b2o16b2o
\$130bo3bobo13b2o22b2o\$56bobo13b2ob5o35b2o5b3o5bobob2o37bobo17bo\$56b3o
13b2obo3bo15bo13b3o12bo6bo41b2o3bo14bo\$94b3o24bo2bo30b2o20bobo13bo\$37b
obo13b2ob5o33bo2bo10bo3b2o8b2o7b2o21bobo21b2o\$37b3o13b2obobobo33bo2b2o
9bo4bo17b2o21b2o11b2o19b2ob2o\$77bo14b3ob2o15bo22b2o28bo2bo17b2o3b2o\$
18bobo13b2ob5o42b2o6b3obo12bo2bo22bobo29b2o10b2o7b2ob2o\$18b3o13b2obo3b
o30bo4b2o4bob2o48b2o23b4o12bo2bo9b3o3b2o\$39bo16b3o12b3o10b2o31b2o22bo
18bo3bo10b3o17b2o\$15b2ob5o33bo2bo10bobobo9bo8b2o21bobo21b2o18bo3bo10bo
b2o\$15b2obobobo13bo22bo10bobob2o17b2o21b2o11b2o18b3o4bo4b3o12b2o\$39b2o
13b2ob3o11b4o23b2o49bo5bobo\$38bo7b2o6b2o10b2o4b2o23bobo23b2o4b2o10b2o
6b2o7bo\$39bobo5bo49b2o23b4o11b3ob2o13b2o\$19b2o12b3o4bo4b3o18b2o11b2o
21b2o17b2obobo10bo22bo13bobobob2o\$18b2obo10bo3bo18b2o21bobo21b2o8bo9bo
bobo10bo2bo33b5ob2o\$2o17b3o10bo3bo18bo22b2o31b2o10b3o12b3o16bo\$2o3b3o
9bo2bo12b4o23b2o48b2obo4b2o4bo30bo3bob2o13b3o\$4b2ob2o7b2o10b2o29bobo
22bo2bo12bob3o6b2o42b5ob2o13bobo\$3b2o3b2o17bo2bo28b2o22bo15b2ob3o14bo\$
4b2ob2o19b2o11b2o21b2o17bo4bo9b2o2bo33bobobob2o13b3o\$17b2o21bobo21b2o
7b2o8b2o3bo10bo2bo33b5ob2o13bobo\$3bo13bobo20b2o30bo2bo24b3o\$3bo14bo3b
2o41bo6bo12b3o13bo15bo3bob2o13b3o\$3bo17bobo37b2obobo5b3o5b2o35b5ob2o
13bobo\$21b2o22b2o13bobo3bo\$26b2o16b2o14bo3bo33bobobob2o13b3o\$26b2o7b2o
8b2o13b2o2b2o32b5ob2o13bobo\$26b2o6bobo11bo13bobo\$33b2o13bo13b3o14bobob
ob2o13b3o\$23b3o2bo5b2o12bo30b5ob2o13bobo\$6b3o13bobo10bo\$6bo14b2o3bo33b
obobob2o13b3o\$6b3o13b2o2b2o32b5ob2o13bobo\$24bo\$9b3o12b3o14bobobob2o13b
3o\$25bo15b5ob2o13bobo\$3b2o\$3b2o17bobobob2o13b3o\$22b5ob2o13bobo2\$24b3o\$
24bobo!``````
p108 semihat gun:

Code: Select all

``````x = 56, y = 48, rule = B3-ckq/S2-c34ci
11bo\$11bo\$11bo20bo\$32bo\$16b2o14bo\$16b2o3\$13b4o\$12b3ob2o\$12bo3bo\$13bo2b
o\$13b3o5\$33b3o\$7b2o\$7b2o3\$2bo\$2bo\$2bo45bo\$47bobo\$46bo3bo\$46bo3bo3b2o\$
46b2ob2o3b2o\$17b3o\$16bo2bo\$21bo28b3o\$21bo\$16bo4bo\$18b2o9\$o28b3o\$o\$o20b
o28b3o\$21bo\$21bo!``````
EDIT 5:
F150(44):

Code: Select all

``````x = 19, y = 25, rule = B3-ckq/S2-c34ci
17b2o\$17b2o6\$2b2o\$3bo\$obo\$2o5\$3b3o\$5bo\$3b3o\$8b2o\$8b2o\$3bo\$3b3o\$6bo\$5b
2o8b2o\$15b2o!``````
Bx76(34):

Code: Select all

``````x = 14, y = 31, rule = B3-ckq/S2-c34ci
6b2o\$6b2o\$9bo\$4b2o2b2o\$4b2o4\$3b3o\$5bo6b2o\$3b3o6b2o2\$3o11\$11b2o\$11b2o\$
8b2o\$7bobo\$7b2o\$11b2o\$10bobo\$10b2o!``````
B3-ckqS2-c34ciHistory

Code: Select all

``````@RULE B3-ckqS2-c34ciHistory
@TABLE
n_states:7
neighborhood:Moore
symmetries:rotate4reflect
var a={0,1,2,3,4,5,6}
var aa={a}
var ab={a}
var ac={a}
var ae={a}
var af={a}
var ag={a}
var b={3,5}
var c={0,1,2}
var d={1,3,5}
var da={d}
var db={d}
var e={0,2,4,6}
var ea={e}
var eb={e}
var ec={e}
var ed={e}
var ee={e}
var f={3,4}
c,d,da,db,e,ea,eb,ec,ed,1
c,d,da,e,db,ea,eb,ec,ed,1
c,d,da,e,ea,db,eb,ec,ed,1
c,d,da,e,ea,eb,ec,db,ed,1
c,d,da,e,ea,eb,ec,ed,db,1
c,d,e,da,ea,db,eb,ec,ed,1
c,d,e,ea,da,eb,db,ec,ed,1
f,d,da,db,e,ea,eb,ec,ed,3
f,d,da,e,db,ea,eb,ec,ed,3
f,d,da,e,ea,db,eb,ec,ed,3
f,d,da,e,ea,eb,ec,db,ed,3
f,d,da,e,ea,eb,ec,ed,db,3
f,d,e,da,ea,db,eb,ec,ed,3
f,d,e,ea,da,eb,db,ec,ed,3
5,d,da,db,e,ea,eb,ec,ed,5
5,d,da,e,db,ea,eb,ec,ed,5
5,d,da,e,ea,db,eb,ec,ed,5
5,d,da,e,ea,eb,ec,db,ed,5
5,d,da,e,ea,eb,ec,ed,db,5
5,d,e,da,ea,db,eb,ec,ed,5
5,d,e,ea,da,eb,db,ec,ed,5
1,e,d,ea,a,eb,da,ec,aa,1
1,d,e,da,ea,eb,a,ec,ed,1
1,d,da,e,ea,eb,a,ec,ed,1
1,d,a,e,aa,da,ea,eb,ec,1
1,d,e,ea,da,eb,ec,ed,ee,1
b,e,d,ea,a,eb,da,ec,aa,b
b,d,e,da,ea,eb,a,ec,ed,b
b,d,da,e,ea,eb,a,ec,ed,b
b,d,a,e,aa,da,ea,eb,ec,b
b,d,e,ea,da,eb,ec,ed,ee,b
@COLORS
0 0 0 0
1 0 255 0
2 0 0 128
3 216 255 216
4 255 0 0
5 255 255 0
6 96 96 96``````
EDIT 6:
Fx99(58 / 65):

Code: Select all

``````x = 72, y = 60, rule = B3-ckq/S2-c34ci
bo3bobobo3bobo4bo30bo5bobo2bobobo3bo\$55bo\$o4bo6bo3bo4bo28bo11bo8bo\$55b
o\$o4bobo5bobo5bo28bo6bo4bobo6bo\$9bo45bo3bo6bo\$o11bo3bo4bo28bo20bo\$9bo
45bo3bo6bo\$bo3bobo5bobo4bo30bo5bo4bobo5bo12\$9b2o48b2o\$9b2o48b2o\$12bo
49bo\$7b2o2b2o44b2o2b2o\$7b2o48b2o4\$6b3o47b3o\$8bo6b2o41bo6b2o\$6b3o6b2o
39b3o6b2o2\$3b3o47b3o9\$19b2o\$20bo\$17b3o\$17bo\$22b2o\$22b2o5\$2o48b2o\$obo
47bobo\$3bo49bo\$2b2o48b2o\$7bobobo45bobobo\$7b5o45b5o2\$7b3o47b3o\$7bobo47b
obo!``````
EDIT 7:
Faster converter(42):

Code: Select all

``````x = 40, y = 40, rule = B3-ckq/S2-c34ci
2bo\$obo\$b2o8\$12bo\$13bo22b2o\$11b3o10b2o10bo\$24b2o11bobo\$38b2o2\$30b3o\$
30bobo\$30bobo\$28bo\$28bo\$28bo9\$38b2o\$37bobo\$31b2o4b2o\$31b2o3\$35b2o\$26b
2obob2o3bo\$26bob2obobobo\$32b2ob2o!``````
Rx84(35):

Code: Select all

``````x = 20, y = 31, rule = B3-ckq/S2-c34ci
10b2o\$10b2o\$13bo\$8b2o2b2o\$8b2o4\$7b3o\$9bo6b2o\$7b3o6b2o2\$4b3o7\$15b2ob2o\$
16bobo\$15b2obo\$2ob2o12bo\$bobo11b2o\$2ob2o11bob2o\$15b2ob2o2\$15b2o\$16bo\$
15bo\$15b2o!``````
EDIT 8:
R53(34):

Code: Select all

``````x = 20, y = 28, rule = B3-ckq/S2-c34ci
10b2o\$10b2o\$13bo\$8b2o2b2o\$8b2o4\$7b3o\$9bo6b2o\$7b3o6b2o2\$4b3o7\$17b2o\$17b
o\$18bo\$15b2obo\$16bob2o\$15b2obo\$2o17bo\$obo15b2o\$b2o!``````
EDIT 9:
p35 glider gun:

Code: Select all

``````x = 152, y = 91, rule = B3-ckq/S2-c34ci
19bo2bo\$19b4o\$46b2o\$17b4ob3o21b2o\$17bo2bobobo2\$19bo21b2o\$18b3o12bo7b2o
\$17b2o2bo11b2o\$21b2o9b2o9b2o\$18b4o19b3o2bo\$4b2o13b2o20bo4bo\$4b2o36bobo
bo13b2o\$42bo2b2o13bobo\$10bo32b3o15b2o\$9b3o32bo26b2o\$9bobo9b2o48b2o\$20b
obo\$6b3o11b2o28bo13b3o\$48b5o15b2o\$38b2o7bo4b2o14bob2o\$38b2o6bo3bo2b2o
15b2o21bobo\$35b2o10b2obo2bo14bob2o21b3o\$35b2o14b2o15b2o\$38bo6b5o40b2ob
5o\$37b2o6bo3bo35b2o3b2obo3bo17b2o\$46bo2bo35bobo7bo19b2o\$48bo8bobo26b2o
\$44b2o11b3o32bo\$44b2o8b2o39b2o13b2o\$3b2o13b2o34bob4obo32bo7b2o6b2o\$3bo
5b3o6b2o38bob2o5bob2o15bo8bobo5bo\$2ob2o3bo2bo53b2obob2o12bo2b2o7bo4b3o
8b2o\$bobo4bo2bo51b2o4bo3bo10bo2b5o18bob2o\$2ob2o3b2o5bo47b6o3b3o10b2o4b
o18bo4b2o\$11b2o2b2o43b2o9b2obo11bo4bo18b3o2b2o12b2o\$3b2o6b2o8b2obo35b
2o10b2o6bo5bo3bo20bo3bo13bobo\$3b2o16bob4obo34bo16bo2bo3bo24bo2bo14b2o
9b2o\$27b2o8b2o23b2o16bo2bo28b3o26b2o\$23b3o11b2o42bo14b2o\$23bobo56bobo
11b2o36bo\$33b2o34b2o11b3o34bo14bo\$32b2o3bo6b2o23b2o8b2o36b3ob2o11bo2b
3o\$33b5o6bo34bob4obo20b2o7b2o5bo13bo2bo\$12b3o15b2o14b2o35bob2o20b2o8b
2o4bo17bo\$11bo2bo13b2o2b2obo10b2o56b2o10bob2o2b2o13bo2bo\$10bo17bo4b2o
8b2o20b2obo35b2o14b2o15b3o\$11bo2bo13bo5b2o7b2o20bob4obo34bo6b5o\$12b3o
2bo11b2ob3o36b2o8b2o23b2o6bo3b2o\$17bo14bo34b3o11b2o34b2o\$17bo36b2o11bo
bo56bobo\$10b2o42b2o14bo42b2o11b3o\$10b2o25b3o28bo2bo16b2o23b2o8b2o\$20b
2o14bo2bo24bo3bo2bo16bo34bob4obo16b2o\$20bobo13bo3bo20bo3bo5bo6b2o10b2o
35bob2o8b2o6b2o\$21b2o12b2o2b3o18bo4bo11bob2o9b2o43b2o2b2o\$35b2o4bo18bo
4b2o10b3o3b6o47bo5b2o3b2ob2o\$38b2obo18b5o2bo10bo3bo4b2o51bo2bo4bobo\$
38b2o8b3o4bo7b2o2bo12b2obob2o53bo2bo3b2ob2o\$48bo5bobo8bo15b2obo5b2obo
38b2o6b3o5bo\$40b2o6b2o7bo32bob4obo34b2o13b2o\$40b2o13b2o39b2o8b2o\$59bo
32b3o11b2o\$64b2o26bobo8bo\$35b2o19bo7bobo35bo2bo\$35b2o17bo3bob2o3b2o35b
o3bo6b2o\$54b5ob2o40b5o6bo\$82b2o15b2o14b2o\$56b3o21b2obo14bo2bob2o10b2o\$
56bobo21b2o15b2o2bo3bo6b2o\$80b2obo14b2o4bo7b2o\$82b2o15b5o\$85b3o13bo28b
2o11b3o\$129bobo\$79b2o48b2o9bobo\$79b2o26bo32b3o\$89b2o15b3o32bo\$89bobo
13b2o2bo\$90b2o13bobobo36b2o\$105bo4bo20b2o13b2o\$105bo2b3o19b4o\$107b2o9b
2o9b2o\$117b2o11bo2b2o\$109b2o7bo12b3o\$109b2o21bo2\$127bobobo2bo\$104b2o
21b3ob4o\$104b2o\$129b4o\$129bo2bo!``````
Another p13 oscillator:

Code: Select all

``````x = 20, y = 3, rule = B3-ckq/S2-c34ci
2ob2o10b2ob2o\$bobo3b6o3bobo\$2ob2o10b2ob2o!``````
p46 shuttle:

Code: Select all

``````x = 17, y = 9, rule = B3-ckq/S2-c34ci
b2o\$obo\$2o\$4b2o\$5b2o\$5bo\$15b2o\$14bobo\$14b2o!``````
L60(44 / 52(also 44-47)):

Code: Select all

``````x = 72, y = 77, rule = B3-ckq/S2-c34ci
bo7bo6bo3bo30bo3bobobo4bo5bo\$62bo3bo\$o6bobo4bobo4bo28bo4bo15bo\$66bo\$o
4bo3bo2bo3bo4bo28bo4bobo6bo6bo\$59bo\$o4bobobo2bobobo4bo28bo11bo8bo\$59bo
\$bo7bo6bo3bo30bo3bobo4bobobo3bo12\$51b2o\$4bo2bo43bobo\$8bo44bo\$3bo4bo41b
ob2o\$3bo3b2o42bo2\$4b3o2\$2bobo4b2o47bobo4b2o\$2b3o4b2o47b3o4b2o2\$2b3ob2o
50b3ob2o\$2bobob2o50bobob2o25\$50bobo3bobobo\$9bo\$7bo3bo41bo2bo2\$obobo6bo
31bobobo4bo3bobo\$9bo50bo\$53bo\$7bo52bo\$50bobo3bobo\$7bobobo4\$51b2o\$4bo2b
o43bobo\$8bo44bo\$3bo4bo41bob2o\$3bo3b2o42bo2\$4b3o!``````
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

wildmyron
Posts: 1344
Joined: August 9th, 2013, 12:45 am

### Re: B3-ckq/S2-c34ci: Pi-plicator

@AbhpzTa: That's quite a nice collection of conduits you've got there. Have you found anything interesting using the p46 shuttle?

Can someone please post an example gun for p36 and up? It's still not quite clear to me how to string together the known conduits to make an adjustable gun work.

Here's a p9276 puffer:

Code: Select all

``````x = 5, y = 13, rule = B3-ckq/S2-c34ci
3o\$2ob2o\$o3bo\$2b3o2\$2b3o\$4bo\$5o\$o\$2b3o\$4bo\$bob2o\$b2o!``````
That may or may not be the smallest phase which doesn't stabilise into a lower period puffer.

Edit:

self stabilising p46

Code: Select all

``````x = 29, y = 12, rule = B3-ckq/S2-c34ci
b2o\$obo\$2o\$11bo\$10b2o\$11b2o\$16b2o\$17b2o\$17bo\$27b2o\$26bobo\$26b2o!``````
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

AbhpzTa
Posts: 485
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: B3-ckq/S2-c34ci: Pi-plicator

wildmyron wrote:It's not quite clear to me if this means that the following construction is now redundant
wildmyron wrote:Can someone please post an example gun for p36 and up? It's still not quite clear to me how to string together the known conduits to make an adjustable gun work.

Code: Select all

``````x = 959, y = 503, rule = B3-ckq/S2-c34ci
2obo6b2obo28b2o96b2obo6b2obo32b2o332bo4b3ob3o8bo9bo4b3ob3o18b2o4b2o2b
2o4b2o50b2o\$ob2o6bob2o28b2o96bob2o6bob2o33bo332bo6bo3bo18bo6bo3bo19bo
5bo3bo5bo50bo\$4b2o2b2o134b2o2b2o4b2o28b3o333bo4b3o3bo8bo9bo4b3o3bo18bo
5bo3bo5bo52b3o\$4bo3bo26bo108bo3bo5bo29bo335bo4bo5bo18bo4bo5bo18b2o4b2o
2b2o4b2o53bo\$5bo3bo10b2o13bo109bo3bo5bo11b2o9bo10b2o329b3o2b3o3bo8bo9b
3o2b3o3bo20bob2o6bob2o49b2o\$4b2o2b2o10b2o13bo2b2o104b2o2b2o4b2o11b2o
11b2o7b2o391b2obo6b2obo49b2o2b2o\$2obo6b2obo24bobo99b2obo6b2obo23bo4bo
22b2o333bo45b2o8b2o31b2o17bobo\$ob2o6bob2o26b2o98bob2o6bob2o28bo23bo
380bo9bo31bo18bo20b2o6b2o\$4b2o2b2o4b2o22bobo103b2o2b2o4b2o22b2ob2o20b
3o314b3o2b3ob3o8bo9b3o2b3ob3o24bo9bo33b3o15bobo18b2o6bo\$4bo3bo5bo23b2o
104bo3bo5bo17bo7bo6b2o14bo316bo4bo3bo20bo4bo3bo26b2o8b2o34bo16b2o27b3o
\$5bo3bo5bo9b3o117bo3bo5bo15bo4b4o7b3obo16b2o310b2o3b3ob3o8bo9b2o3b3ob
3o64b2o11bo40bo\$4b2o2b2o4b2o9bo2bo115b2o2b2o4b2o20bobo12b3o14b2o310bo
6bobobo18bo6bobobo64b2o9b2obo33b2o\$2obo6b2obo11bo114b2obo6b2obo35bo4bo
29b2o294bo4b3ob3o8bo9bo4b3ob3o24b2o8b2o37b2obo35b2o10b4o3b3o\$ob2o6bob
2o12bo113bob2o6bob2o26b2o8b2o2bo30bo360b2o8b2o37bo6bo11b2o29b2o\$27bo2b
o149b2o10b2o12bo15b3o315bo94bob2o4bo10b2o6bo21b2obo2bobo5b2o6b2o\$206b
2o14bo389b2o3b2o6bo10b2o4bo18b3o21bo3b2ob2o5bo6bo\$28b2o143bo30bo2bo19b
2o311bo9bo4b3ob3o49bobo3b2o5bobo11b3o19b2o2bo12b2o7b2obo3bo13b3o\$29b2o
9bo131b3o28bo3bo19b2o321bo4bobobo51b2o11bobo13bo19bobobo8bo14b2o3bo4bo
10bo\$35b3o2b2o130bob2o28bobo12b3o21b2o295bo9bo4b3ob3o53b2o8b2o33b2o2b
2o5b3o21b2o6b2o\$34b2obo135bo25b2o4bo12bo2bo22bo305bo6bo3bo52bobo5bo2bo
8b2o26bobo5bo2bo29b2o\$33b2obo162b2o16bo3bo19b3o296bo9b3o2b3ob3o52b2o7b
3o7bobo26bobo5bobo9b2o\$34bobo178bo4bo6bo13bo382bo7bo28bo2bo6b2o8bobo
36bo6b2o6b2o\$35b2o7b2o118b2o4bo43b2o11bobo16b2o292bo91b2o28b2o16bo38b
3o5b2o6bo\$44b2o118b2o4bo43bo2bo8b2ob3o14b2o302b3o2bobob3o80b2o36b2o37b
obo14b3o\$232bo29b2o276bo9bo4bobo3bo80b2o94bo\$23b2o135b2o56b2o8bo3bo30b
o286b2o3bobo3bo144bo25b2o\$23b2o135bobo4bo50b2o8bo2bo12b2o14b3o277bo9bo
4bobo3bo143b2ob2o22b2o3bo\$162bo3b3o61bo29bo289bo4bobo3bo144b3o2b2o3b2o
18b2o\$162b2o2bobo77bo18b2o273bo77b2o90bobo4b2o16b2o19b2o6b2o\$242bo3bo
10b3o5b2o348b2o2bo17b3o25b2o23b3o16bo26b2o18b2o6bo\$242b4o10bo3bo20b2o
257bo75b3o8b2o4bo5bo25b2o4b2o17bo2bo15b2o26bo27b3o\$173b2o62b2o4bo12bo
3bo21bo334bo10bo4b2o2bobo30bo2bo16bo2bo73bo\$173b2o62b2o18b4o18b3o258bo
84bobo9b2o34bo17bo2b2o65b2o\$252b2o25bo268bo18bo57b2o43bo2bo18bobob2o
63b2o11b2o5b2o\$251bo2bo9b2obo16b2o254bo6bo20bo100b2ob2o18b2ob3o42b2o
30b2ob2o3b2o\$252b2o10b2o3bo14b2o261bo2b2o7b3ob3o2bo103bobo17b3o33b2o9b
obo30bo2b2o3b2o3b2o6b2o\$176b3o86bo4bo29b2o238bo5bo3bobo6bobobobo3bo
103b3o17bobo31bobo2b2o4bo9b3o13b2o6bo3bo3bo3bobo6bo\$175b2o79b2o10bobo
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bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
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bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
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o4bo21b3o20b3o21bo\$42b2o7b2o25bo10bo9bo2bo32bo10b3o32bo45bo45bo30b2o
13bo28bo2bo\$42b2o10bo10bo23bo9bo2bo32bo10bo2bo31bo10b3o32bo45bo29bo2bo
12bo30b2o\$48bo15b3o22bo9bobo9b2o22bo9bo11b2o22bo9bo2bo32bo10b3o10bo2bo
18bo30b2o13bo25bo4bo\$46b3o15bobo42b2obo29b2o2b2o2bo5bobo32bo3bo7b3o32b
o2bo8bo33b3o10b4o43bo3bo\$45bo49bo7bo5b2o30bo14bo30b2ob2o3bo7bo29b2o2bo
3bo8bo4bo23b2o2bo2bo10bo3bo23b2o3b3o11bo2bo\$45b2o19bo15b3o10b2o6bo5b2o
bo15b3o10bo3bo2b3o5bobo15b3o10b2o2bobob2o6b3o14b3o10b2o2b3ob2o7b2o3bo
10b3o10b2o2b2o2bo9bo3bo10b3o10b2o3bobo11b3o\$61b2o2b2o34b2o8b2o29bo5b2o
7b2o32bobobo45bo44b2o10b3o29bob2o25b2o\$61b2o42b2o7b3o31b2ob2o7b3o32bob
2o7b3o30bo3bobo6b3o34b3o40bo4bo21b2o\$67bo37bo42b2obo43b3o40b2o2b2obo
39b3ob2o41bo2b2obo\$65b3o29b2o3b2obo37b2o4bobo37b2o2bobo3bo35b2o3bo3bo
36b2o2b2o40b2o3bobobobo\$64bo32bobo2b2ob2o36bobo2b2ob2o36bobo3b3o37bobo
4b3o36bobo3b3o37bobo3b3obo\$64b2o34bo2bob2o39bo3bo41bo4bo40bo3bo41bo2b
2o41bo\$101bo45bo45bo45bo45bo45bo\$100b2o44b2o44b2o44b2o44b2o44b2o!``````
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

Posts: 1940
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: B3-ckq/S2-c34ci: Pi-plicator

Alternatively, for p42+ we have

Code: Select all

``````x = 230, y = 98, rule = B3-ckq/S2-c34ci
165b2ob2o\$32b2ob2o129bobobob2obo\$33bobobob2obo122bo3b2obob2o\$32bo3b2ob
ob2o122b2o\$32b2o2\$169b2o\$36b2o125b2o4b2o\$30b2o4b2o124bobo\$29bobo130b2o
\$29b2o136b3o\$34b3o130bo\$34bo132bobo\$34bobo5bo125b2o4b3o\$35b2o4b2o124b
3o4bo\$34b3o4bobo131bo2\$170b2o\$37b2o129bo4bo\$35bo4bo132bo\$40bo132bo\$40b
o127bo2bo\$35bo2bo130b3o\$36b3o119b2o26bo\$25b2o25b2o104b2o25b2o\$25b2o24b
2o132bobo\$53bo122b2o\$43b2o26b2o103b2o27b2o\$43b2o26b2o132b2o3\$86b2o78bo
53b2o\$33bobo50bobo77bobo51bobo\$33b2o52b2o77b2o53b2o\$34bo28bo28b2obo
100b2o28b2obo\$62b2o19b3o6bob2o100bobo18b3o6bob2o\$62bobo18bo2bo109bo20b
o2bo\$81bo4bo7b2o119bo4bo7b2o\$72b3o6b5o2b2o3bobo110b3o6b5o2b2o3bobo\$72b
o10bo4b2o3b2o111bo10bo4b2o3b2o\$72b3o131b3o\$93b2o132b2o\$24bo50b3o4bo11b
o60bobo51b3o16bo\$22b2o58b2o9bo61b2o58b3o9bo\$23b2o56bobo9b2o61bo60bo9b
2o\$41bo2bob3o19b2o104bo2bob3o20b2o12bo\$41bo2bo4bo18b2o104bo2bo4bo19b2o
\$41bo2bo4bo124bo2bo4bo\$42b2o3b2o126b2o2b3o\$44bobo130bo4bo\$44bobo130bo
4bo\$26b2o16bo2b3o108b2o17bob3o\$26b2o117bo12b2o\$b2o9bobo56b2o60b2o9bo
60bo\$2bo9b2o58b2o60bo9b3o58b2o\$bo11bo4b3o50bo61bo16b3o51bobo\$b2o130b2o
\$21b3o129b3o\$b2o3b2o4bo10bo109b2o3b2o4bo10bo\$obo3b2o2b5o6b3o108bobo3b
2o2b5o6b3o\$2o7bo4bo117b2o7bo4bo\$9bo2bo18bobo107bo2bo20bo\$2obo6b3o19b2o
98b2obo6b3o18bobo\$ob2o28bo28bo70bob2o28b2o\$7b2o52b2o76b2o53b2o\$7bobo
50bobo76bobo51bobo\$8b2o64b2o64b2o53bo\$74b2o131b2o\$70b3o131bo2b2o\$23b2o
26b2o17bo2bo81b2o46b3o\$23b2o26b2o20bo81b2o27b2o17bo2bo\$42bo25b2ob3o
110b2o17bo2b2o\$43b2o23b2o104bobo24b3ob2o\$42b2o131b2o24b3obo\$57b3o115bo
\$57bo2bo8b4o117b3o10b2o\$55bo12b2ob3o116bo2bo7b3o2bo\$55bo13bo3bo114bo
12bo4bo\$55bo4bo8bo2bo115bo13bobobo\$57b2o11b3o11bo103bo4bo8bo2b2o\$82bob
o105b2o11b3o11bo\$83b2o119bo13bo\$52bobo4b3o124bo29b3o\$53b2o4b2o126bo4b
3o\$53bo5bobo9b2o112b3o4b2o\$61bo9b2o119bobo9b2o\$59b3o132bo9b2o\$65b2o
125b3o\$64bobo131b2o\$58b2o4b2o131bobo\$58b2o131b2o4b2o\$191b2o2\$62b2o\$53b
2obob2o3bo131b2o\$53bob2obobobo123b2obob2o3bo\$59b2ob2o122bob2obobobo\$
192b2ob2o!
``````
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Hdjensofjfnen
Posts: 1476
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: B3-ckq/S2-c34ci: Pi-plicator

This is weird...

Code: Select all

``````x = 7, y = 8, rule = B3-ckq/S2-c34ci
b2ob2o\$2o3b2o\$bo3bo3\$b2ob2o\$2bobo\$b2ob2o!
``````
EDIT: Known?

Code: Select all

``````x = 3, y = 7, rule = B3-ckq/S2-c34ci
b2o\$2o\$bo2\$bo\$2o\$b2o!
``````
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

### Re: B3-ckq/S2-c34ci: Pi-plicator

Dude, there were only 16 posts in this thread before yours. I don't think that that's too much to read through before posting.
http://conwaylife.com/forums/viewtopic. ... 919#p34919
glider_rider wrote:...some c/2 spaceships and puffers...

Code: Select all

``````x = 45, y = 66, rule = B3-ckq_S2-c34ci
38bobo\$17b2ob2o16b3o\$19bo2bo19b3o\$22bo15b3o\$21bo16bobo\$22bo\$22bo3\$5b2o
31bo\$bobo2bo10bobo3bobo12bob2o\$bo2bobob2o7bo2bobo2bo15bo\$4bobob2o10bob
o15bob2o\$3b2obo12b2ob2o14bo\$o5bo\$6o13b2ob2o\$20bobo\$2b2o13bo2bobo2bo\$2b
2o13bobo3bobo13bo\$40bo\$40bo\$38b3o2\$38b3o\$40bo\$22bo2b2o13bo\$23b3o13bo\$
24bo5\$21bo\$20b3o15b2o\$19b2o2bo14bobo\$40b2o\$38b3o2\$39b2o\$40b2o\$39b2o\$
39bo5\$38b2o\$38bobo\$40b2o\$38b3o2\$39b2o\$40b2o\$39b2o\$39bo3\$39bo\$39b2o\$40b
2o\$39b2o2\$38b3o\$40b2o\$38bobo\$38b2o!
``````
gamer54657 wrote:God save us all.
God save humanity.

hgkhjfgh
nutshelltlifeDiscord 'Conwaylife Lounge'

Hdjensofjfnen
Posts: 1476
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: B3-ckq/S2-c34ci: Pi-plicator

Shoots a pair of MWSS's:

Code: Select all

``````x = 3, y = 127, rule = B3-ckq/S2-c34ci
b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$
2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$b
o2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$b
o\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o
\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o
!``````
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

Hdjensofjfnen
Posts: 1476
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: B3-ckq/S2-c34ci: Pi-plicator

In a way this is different:

Code: Select all

``````x = 3, y = 133, rule = B3-ckq/S2-c34ci
b2o\$2bo2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$
b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o
2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b
2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$
2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$b
o2\$bo\$2o\$b2o2\$2bo\$b2o!
``````
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

Hdjensofjfnen
Posts: 1476
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: B3-ckq/S2-c34ci: Pi-plicator

Hey!
EDIT: Run in Golly, not LifeViewer.

Code: Select all

``````x = 6, y = 133, rule = B3-ckq/S2-c34ci
b2ob2o\$2bobo2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$b
o\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o
\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o
2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b
2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$2o\$bo2\$bo\$2o\$b2o2\$b2o\$
2o\$bo2\$bo\$2o\$b2o2\$2bobo\$b2ob2o!
``````
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

wildmyron
Posts: 1344
Joined: August 9th, 2013, 12:45 am

### Re: B3-ckq/S2-c34ci: Pi-plicator

@AbhpzTa and @ BlinkerSpawn

Thank you, that clarifies the mechanisms very nicely.

Perhaps this isn't particularly surprising but here's a c/2 wickstretcher which stretches the same still life as the simple c/4 one.

Code: Select all

``````x = 7, y = 29, rule = B3-ckq/S2-c34ci
4b2o\$4bobo\$b2o3bo\$b6o2\$3b4o\$6bo\$4b3o2\$4b3o\$6bo\$4b3o\$2bo\$2b5o\$6bo\$2b5o\$
2bo\$4b3o\$6bo\$4b3o2\$4b3o\$6bo\$3b4o2\$b6o\$b2o3bo\$4bobo\$4b2o!``````
Edit: This is a stabilised version of the wickstretcher which spontaneously appears in the line puffers posted by Hdjensofjfnen. End Edit

And some interesting ways of burning it (there are many more)

Code: Select all

``````x = 47, y = 41, rule = B3-ckq/S2-c34ci
2\$32bo2\$31b2o\$31bo8b2o\$30b2o8bobo\$31bo5b2o3bo\$37b6o2\$39b4o\$42bo\$4bo35b
3o\$2bobo\$3b2o35b3o\$42bo\$40b3o\$6bobobobobobobobobobobobobobobobobo\$6b
37o\$42bo\$6b37o\$6bobobobobobobobobobobobobobobobobo\$40b3o\$42bo\$3b2o35b
3o\$2bobo\$4bo35b3o\$42bo\$39b4o2\$37b6o\$31bo5b2o3bo\$30b2o8bobo\$31bo8b2o\$
31b2o2\$32bo!``````

Code: Select all

``````x = 116, y = 35, rule = B3-ckq/S2-c34ci
105bo2\$104b2o\$104bo8b2o\$103b2o8bobo\$104bo5b2o3bo\$110b6o\$2bo\$o3bo107b4o
\$5bo109bo\$o4bo107b3o\$b5o\$113b3o\$115bo\$113b3o\$9bobobobobobobobobobobobo
bobobobobobobobobo30b2obobobobobobobobobobobobobobobo\$9b41o30b36o\$115b
o\$9b41o25bobob37o\$9bobobobobobobobobobobobobobobobobobobobobo25bobob3o
bobobobobobobobobobobobobobobo\$113b3o\$115bo\$b5o107b3o\$o4bo\$5bo107b3o\$o
3bo110bo\$2bo109b4o2\$110b6o\$104bo5b2o3bo\$103b2o8bobo\$104bo8b2o\$104b2o2\$
105bo!``````

Code: Select all

``````x = 95, y = 35, rule = B3-ckq/S2-c34ci
84bo2\$83b2o\$83bo8b2o\$82b2o8bobo\$83bo5b2o3bo\$89b6o2\$91b4o\$94bo\$92b3o2\$
92b3o\$94bo\$92b3o\$b5o10bobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobo\$o4bo10b79o\$5bo88bo\$o3bo11b79o\$2bo13bobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
\$92b3o\$94bo\$92b3o2\$92b3o\$94bo\$91b4o2\$89b6o\$83bo5b2o3bo\$82b2o8bobo\$83bo
8b2o\$83b2o2\$84bo!``````
An extensible period c/2 puffer / ship. Could probably find a suitable reaction to make an extensible period rake as well.

Code: Select all

``````x = 39, y = 33, rule = B3-ckq/S2-c34ci
33bo\$33b3o\$32bo3b2o\$21bo10bo2b2obo\$21bobo8bo5bo\$34b5o2\$21b3o6bo2b6o\$3b
2o15b5o5bo7bo\$3ob2o14b3ob2o6b2o2b3o\$5o18b2o\$b3o32b3o\$38bo\$36b3o\$30bobo
bo\$30b9o\$26b3o9bo\$30b9o\$30bobobo\$b3o32b3o\$5o33bo\$3ob2o14b3o13b3o\$3b2o
14b5o\$19b3ob2o7b2o2b3o\$22b2o6bo7bo\$30bo2b6o2\$34b5o\$21bobo8bo5bo\$21bo
10bo2b2obo\$32bo3b2o\$33b3o\$33bo!``````
In order of increasing length the working ship periods are: 112, 304, 96, 464, 272, 624, 176, 784, 432, ... which correspond to

Code: Select all

``(5 * N + 4) / GCD(4, N) * 16, for N = 2, 3, 4, ...``
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

toroidalet
Posts: 1054
Joined: August 7th, 2016, 1:48 pm
Location: My computer
Contact:

### Re: B3-ckq/S2-c34ci: Pi-plicator

wildmyron wrote:@AbhpzTa and @ BlinkerSpawn
Perhaps this isn't particularly surprising but here's a c/2 wickstretcher which stretches the same still life as the simple c/4 one.

Code: Select all

``````x = 7, y = 29, rule = B3-ckq/S2-c34ci
4b2o\$4bobo\$b2o3bo\$b6o2\$3b4o\$6bo\$4b3o2\$4b3o\$6bo\$4b3o\$2bo\$2b5o\$6bo\$2b5o\$
2bo\$4b3o\$6bo\$4b3o2\$4b3o\$6bo\$3b4o2\$b6o\$b2o3bo\$4bobo\$4b2o!``````
Edit: This is a stabilised version of the wickstretcher which spontaneously appears in the line puffers posted by Hdjensofjfnen. End Edit
Smaller:

Code: Select all

``````x = 6, y = 9, rule = B3-ckq/S2-c34ci
3bo\$2obo\$o4bo\$6o2\$6o\$o4bo\$2obo\$3bo!
``````
Also a Lightbulb variant predecessor

Code: Select all

``````x = 11, y = 5, rule = B3-ckq/S2-c34ci
o9bo\$4o3b4o\$3bo3bo\$4o3b4o\$o9bo!
``````
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

wildmyron
Posts: 1344
Joined: August 9th, 2013, 12:45 am

### Re: B3-ckq/S2-c34ci: Pi-plicator

toroidalet wrote:Smaller:

Code: Select all

``````x = 6, y = 9, rule = B3-ckq/S2-c34ci
3bo\$2obo\$o4bo\$6o2\$6o\$o4bo\$2obo\$3bo!``````
I knew that was hiding somewhere, just didn't expect it to be so small. Here's the corresponding adjustable period ship (smallest version, p36):

Code: Select all

``````x = 23, y = 18, rule = B3-ckq/S2-c34ci
b3o6b3o\$5o4b5o\$3ob2o3b3ob2o\$3b2o7b2o2\$19bo\$19bob2o\$13bobobo4bo\$13b10o\$
9b3o\$13b10o\$13bobobo4bo\$19bob2o\$3b2o14bo\$3ob2o3b3o\$5o3b5o\$b3o4b3ob2o\$
11b2o!``````
Allowed periods: (5 * N + 4) * 4, for N = 1, 2, 3, ...

semihat + blinker -> c/4 wickstretcher

Code: Select all

``````x = 5, y = 11, rule = B3-ckq/S2-c34ci
\$2ob2o\$bobo\$b3o\$2bo4\$b3o!``````
4c/8 ship:

Code: Select all

``````x = 8, y = 13, rule = B3-ckq/S2-c34ci
o\$2o\$bo2b4o\$2obo3bo\$7bo\$2b2o2bo2\$2b2o2bo\$7bo\$2obo3bo\$bo2b4o\$2o\$o!``````
Edit 1:

2c/5 ship:

Code: Select all

``````x = 11, y = 15, rule = B3-ckq/S2-c34ci
2b2o2bo\$b4o2bo\$o4bob2o\$6bo2bo\$2o5bobo\$9b2o\$8b2o2\$8b2o\$9b2o\$2o5bobo\$6bo
2bo\$o4bob2o\$b4o2bo\$2b2o2bo!``````
Edit 2:

p16 c/2 back rake:

Code: Select all

``````x = 29, y = 16, rule = B3-ckq/S2-c34ci
2bo9b2o11bo\$o3bo5bo4bo7b5o\$5bo10bo6bo4bo\$o4bo4bo5bo11bo\$b5o5b6o7b5o\$
24bo\$25b4o\$13bo10b2o2bo\$6b2o3bo2bob2o2b2o2b2ob2o\$6bobo3b2o2b2o2bo4b2o\$
7b2o\$24bo\$12b3o7bo3bo\$11b5o11bo\$11b3ob2o5bo4bo\$14b2o7b5o!``````
I believe the block plus blinker from the adjustable puffer above should be readily convertible to the required pair of blocks for the reaction used here in order to create an adjustable period back rake. I don't have the time to follow up on that now.

Edit 3:

Messy breeder: I'm sure much smaller and cleaner is possible.

Code: Select all

``````x = 161, y = 110, rule = B3-ckq/S2-c34ci
157b2o\$133b5o5b6o8bob2o\$132bo4bo4bo5bo8bo2bo\$137bo10bo9b3o\$132bo3bo5bo
4bo9bo\$134bo9b2o12b3o\$132bo27bo\$131bob2o4b2o4b2o2b2o2b2o3bobo\$134bo4bo
bo3b2o2b2o2bo4b2o\$132b3o5b2o12b2o3\$146b2o7b5o\$143b3ob2o5bo4bo\$143b5o
11bo\$144b3o7bo3bo\$61b5o90bo\$60bo4bo\$65bo\$60bo3bo\$15b5o42bo\$14bo4bo100b
2o7b2o\$19bo97b3ob2o3b3ob2o\$3b2o9bo3bo98b5o4b5o\$3ob2o10bo101b3o6b3o\$5o
131bo\$b3o132bob2o\$131b3o5bo\$131b9o\$130bo\$129b11o\$129b3obo5bo\$136bob2o\$
136bo2\$128b2o\$125b3ob2o\$125b5o\$126b3o3\$109b2o\$109bobo\$111b2o\$109b3o2\$
110b2o\$111b2o\$110b2o\$110bo11\$110bo\$110b2o\$111b2o\$110b2o2\$109b3o\$111b2o
\$109bobo\$109b2o3\$126b3o\$125b5o\$125b3ob2o\$128b2o2\$136bo\$136bob2o\$129b3o
bo5bo\$129b11o\$130bo\$131b9o\$131b3o5bo\$136bob2o\$136bo\$118b3o6b3o\$117b5o
4b5o\$117b3ob2o3b3ob2o\$120b2o7b2o5\$156bo\$144b3o7bo3bo\$143b5o11bo\$143b3o
b2o5bo4bo\$146b2o7b5o3\$132b3o5b2o12b2o\$134bo4bobo3b2o2b2o2bo4b2o\$131bob
2o4b2o4b2o2b2o2b2o3bobo\$132bo27bo\$134bo9b2o12b3o\$132bo3bo5bo4bo9bo\$
137bo10bo9b3o\$132bo4bo4bo5bo8bo2bo\$133b5o5b6o8bob2o\$157b2o!``````
Last edited by wildmyron on September 28th, 2016, 10:02 pm, edited 1 time in total.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

Hdjensofjfnen
Posts: 1476
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: B3-ckq/S2-c34ci: Pi-plicator

Weird.

Code: Select all

``````x = 9, y = 8, rule = B3-ckq/S2-c34ci
2b2ob2o\$bobobobo\$o2bobo2bo\$2obobob2o\$3bobo\$2b2ob2o\$3bobo\$2b2ob2o!
``````
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````