The hunt for the ever-elusive piship

LuveelVoom · Post by **LuveelVoom** » September 2nd, 2026, 3:53 pm

The elusive piship, a 9c/30o ship made out of pi heptominos. Long thought impossible to find, I now believe that the piship is within striking distance. People haven’t really looked at the piship for ten years, and in that time we’ve gained two advantages.

First, we have a lot more community members, with different skills and approaches to problems.
Second, we have 32 times more compute.

I think that we should return to the long abandoned piship hunt. There are two approaches, but I think only one is really viable:

1. The atomic approach.
This involves searching for a sparky 3c/10 ship and then using it to support the pi wave. There are three serious problems with this approach:
a. You are looking for a period 10 ship. I wish you luck.
b. If you have a 3c/10 ship there’s really not much point in stabilizing the pi wave, is there?
c. If you just stick random junk around the pi, you are probably not gonna find anything useful

2. The constructivist approach.
This one takes the pi wave and makes a constructed ship out of it. This, I think, is actually viable.

Here are some basic ideas for how you could go about this:

Finding a set of shifts. Imagine the following:

Code: Select all

x = 37, y = 18, rule = LifeHistory
D$.D$2.D$3.D.D30.D$4.2D29.D$3.3D28.D$31.D.D$9.3A19.2D$9.A.A19.3D$9.A.
A$16.4D3.3A$16.D2.D3.A.A$19.D3.A.A$18.2D$18.D$18.D2$18.D!

Some object here in between these two pis could stabilize both of them (they could be in different stages of evolution too) and allow the pi wave to change vertical position. If the vertical change is large enough, you might be able to just wrap the pies around and close it at the bottom.

Here’s another possibly useful component:

Code: Select all

x = 36, y = 22, rule = LifeHistory
25.3A$25.A.A$25.A.A2$33.D$32.3D$31.D.D.D$33.D2$3A$A.A4.3D7.E14.3D$A.A
6.D8.E15.D$8.D6.5E13.D$8.D9.E14.D$17.E$8.D24.D3$33.D$31.D.D.D$32.3D$33.
D!

An object interacts with a pi and is moved to a different position while the pi is stabilized.

Another:

Code: Select all

x = 46, y = 17, rule = LifeHistory
27.3A$27.A.A$27.A.A4$37.3C$39.C$38.C$3A35.C$A.A4.3D7.E$A.A6.D8.E19.C$
8.D6.5E$8.D9.E$17.E26.D$8.D36.D$43.3D!

The pi interacts with an object, is stabilized but either destroys the object or changes it in some way, and produces a glider(s).

Ideally, these objects around the pi would be synthesizable in 2 gliders.

There are a wide variety of various components, but as a final example, and I think the most promising one:

Code: Select all

x = 50, y = 17, rule = LifeHistory
39.3A$39.A.A$39.A.A6$47.3C$3A46.C$A.A13.3D8.E21.C$A.A15.D9.E19.C$10.D
7.D6.5E18.C$10.3D4.D10.E$10.D.D4.D9.E20.C$12.D$17.D!

The pi interacts with an active region (not necessarily the herschel), is stabilized, and produces some output, especially if that output is a glider.

The reason why I think this is promising is because there have been searches with pis and objects before, but not with pis and active regions, so there could be some extremely useful interactions.

Anyway… let the hunt begin

LuveelVoom · Post by **LuveelVoom** » September 2nd, 2026, 4:18 pm

Hmm!

Code: Select all

x = 54, y = 5, rule = LifeHistory
51.C$51.3C$3C15.3C15.3C12.C.C$C.C15.C.C15.C.C14.C$C.C15.C.C15.C.C!

Herschel stabilizing a pi.

The main issue I'm noticing when messing around is that the pi only has a very short timeframe to be stabilized. It's about 2-3 generations, and it's in a small strip on the side of the pi. I wonder if there's some interaction that can extend this timeframe and allow further interactions.

HartmutHolzwart · Post by **HartmutHolzwart** » September 3rd, 2026, 2:37 am

There was quite a lot of research in the past, some documented in the forums:

1) a comprehensive list of 3c/10 pi waves
2) several ways to stabilize a pi from the side (the simplest being the growing pi ship
3) work from David Bell how to build rakes from pis

It’s worth to make oneself familiar with previous work, if only to see which gaps are left.

The major obstacle is that the pi is very sensitive to asymmetric disturbance.

NNlk05 · Post by **NNlk05** » September 3rd, 2026, 3:41 pm

HartmutHolzwart wrote: September 3rd, 2026, 2:37 am The major obstacle is that the pi is very sensitive to asymmetric disturbance.

Even if it's very sensitive, that doesn't mean its imposible; Observe:

NNlk05 wrote: June 24th, 2026, 8:31 am The most useless thing I ever made.
(A "Null Catalyst" that does nothing.)
Code: Select all
x = 11, y = 31, rule = DoubleB3S23
5.2A$4.A2.A$3.A2.2A$4.2A2.2A$.3A2.A3.A$A4.A.3A$.3A.A.A$3.2A21$6.3C$6.
C.C$6.C.C!

Jormungant · Post by **Jormungant** » September 3rd, 2026, 8:50 pm

Not sure if this is known, but here some beacon/carrier action:

Code: Select all

x = 595, y = 399, rule = LifeHistory
64$499.2C$125.2C223.C148.2C$125.C2.C37.2C181.C.C145.2C$127.2C37.2C
181.2C146.2C6$499.2C$125.2C223.C148.2C$125.C2.C37.2C181.C.C145.2C$
127.2C37.2C181.2C146.2C6$499.2C$125.2C223.A148.2C$125.C2.C37.2C181.C.
C145.2C$127.2C37.2C181.2C146.2C6$499.2C$125.2C223.C148.2C$125.C2.C37.
2C181.C.C145.2C$127.2C37.2C181.2C146.2C6$499.2C$125.2C223.A148.2C$
125.C2.C37.2C181.C.C145.2C$127.2C37.2C181.2C146.2C6$499.2C$125.2C223.
C148.2C$125.C2.C37.2C181.C.C145.2C$127.2C37.2C181.2C146.2C6$499.2C$
125.2C223.A148.2C$125.C2.C37.2C181.C.C145.2C$127.2C37.2C181.2C146.2C
6$499.2C$125.2C223.C148.2C$125.C2.C37.2C181.C.C145.2C$127.2C37.2C181.
2C146.2C6$499.2C$125.2C223.C148.2C$125.C2.C37.2C181.C.C145.2C$127.2C
37.2C181.2C146.2C6$499.2C$125.2C223.A148.2C$125.C2.C37.2C181.C.C145.
2C$127.2C37.2C181.2C146.2C6$499.2C$125.2C223.C148.2C$125.C2.C37.2C
181.C.C145.2C$127.2C37.2C181.2C146.2C6$499.2C$125.2C223.A148.2C$125.C
2.C37.2C181.C.C145.2C$127.2C37.2C181.2C146.2C6$499.2C$125.2C223.C148.
2C$125.C2.C37.2C181.C.C145.2C$127.2C37.2C181.2C146.2C6$499.2C$125.2C
223.A148.2C$125.C2.C37.2C181.C.C145.2C$127.2C37.2C181.2C146.2C6$499.
2C$125.2C223.C148.2C$125.C2.C37.2C181.C.C145.2C$127.2C37.2C181.2C146.
2C6$499.2C$125.2C223.A148.2C$125.C2.C37.2C181.C.C145.2C$127.2C37.2C
181.2C146.2C6$499.2C$125.2C223.C148.2C$125.C2.C37.2C181.C.C145.2C$
127.2C37.2C181.2C146.2C6$499.2C$125.2C223.A148.2C$125.C2.C37.2C181.C.
C145.2C$127.2C37.2C181.2C146.2C6$499.2C$125.2C223.C148.2C$125.C2.C37.
2C181.C.C145.2C$127.2C37.2C181.2C146.2C6$499.2C$125.2C223.A148.2C$
125.C2.C37.2C181.C.C145.2C$127.2C37.2C181.2C146.2C6$499.2C$125.2C223.
C148.2C$125.C2.C37.2C181.C.C145.2C$127.2C37.2C181.2C146.2C6$499.2C$
125.2C223.A148.2C$125.C2.C37.2C181.C.C145.2C$127.2C37.2C181.2C146.2C
6$499.2C$125.2C223.C148.2C$125.C2.C37.2C181.C.C145.2C$127.2C37.2C181.
2C146.2C6$499.2C$125.2C223.A148.2C$125.C2.C37.2C181.C.C145.2C$127.2C
37.2C181.2C146.2C6$499.2C$125.2C223.C148.2C$125.C2.C9.A17.A9.2C9.A17.
A17.A17.A17.A17.A17.A17.A17.A17.A9.C.C145.2C$127.2C9.A17.A9.2C9.A17.A
17.A17.A17.A17.A17.A17.A17.A17.A9.2C9.3A15.3A15.3A15.3A15.3A15.3A15.
3A15.3A8.2C$137.A.A15.A.A18.A.A15.A.A15.A.A15.A.A15.A.A15.A.A15.A.A
15.A.A15.A.A15.A.A$133.A9.A7.A9.A10.A9.A7.A9.A7.A9.A7.A9.A7.A9.A7.A9.
A7.A9.A7.A9.A7.A9.A7.A9.A14.A3.A13.A3.A13.A3.A13.A3.A13.A3.A13.A3.A
13.A3.A13.A3.A$133.A9.A7.A9.A10.A9.A7.A9.A7.A9.A7.A9.A7.A9.A7.A9.A7.A
9.A7.A9.A7.A9.A7.A9.A14.A3.A13.A3.A13.A3.A13.A3.A13.A3.A13.A3.A13.A3.
A13.A3.A$131.4A.2A.2A.4A3.4A.2A.2A.4A6.4A.2A.2A.4A3.4A.2A.2A.4A3.4A.
2A.2A.4A3.4A.2A.2A.4A3.4A.2A.2A.4A3.4A.2A.2A.4A3.4A.2A.2A.4A3.4A.2A.
2A.4A3.4A.2A.2A.4A3.4A.2A.2A.4A10.A7.A9.A7.A9.A7.A9.A7.A9.A7.A9.A7.A
9.A7.A9.A7.A$130.2A4.A.A.A4.2A.2A4.A.A.A4.2A4.2A4.A.A.A4.2A.2A4.A.A.A
4.2A.2A4.A.A.A4.2A.2A4.A.A.A4.2A.2A4.A.A.A4.2A.2A4.A.A.A4.2A.2A4.A.A.
A4.2A.2A4.A.A.A4.2A.2A4.A.A.A4.2A.2A4.A.A.A4.2A7.2A4.A4.2A5.2A4.A4.2A
5.2A4.A4.2A5.2A4.A4.2A5.2A4.A4.2A5.2A4.A4.2A5.2A4.A4.2A5.2A4.A4.2A$
129.A5.A2.A2.A11.A2.A2.A5.A2.A5.A2.A2.A11.A2.A2.A11.A2.A2.A11.A2.A2.A
11.A2.A2.A11.A2.A2.A11.A2.A2.A11.A2.A2.A11.A2.A2.A11.A2.A2.A5.A6.A4.A
.A4.A5.A4.A.A4.A5.A4.A.A4.A5.A4.A.A4.A5.A4.A.A4.A5.A4.A.A4.A5.A4.A.A
4.A5.A4.A.A4.A5.2C$125.2C2.3A2.3A3.3A2.2A.2A2.3A3.3A2.3A2.3A2.3A3.3A
2.2A.2A2.3A3.3A2.2A.2A2.3A3.3A2.2A.2A2.3A3.3A2.2A.2A2.3A3.3A2.2A.2A2.
3A3.3A2.2A.2A2.3A3.3A2.2A.2A2.3A3.3A2.2A.2A2.3A3.3A2.2A.2A2.3A3.3A2.
3A.A4.A3.A3.A3.A5.A3.A3.A3.A5.A3.A3.A3.A5.A3.A3.A3.A5.A3.A3.A3.A5.A3.
A3.A3.A5.A3.A3.A3.A5.A3.A3.A3.A5.2C$125.C2.CA3.A2.A3.A2.A7.A2.A3.A2.A
3.A2CA3.A2.A3.A2.A7.A2.A3.A2.A7.A2.A3.A2.A7.A2.A3.A2.A7.A2.A3.A2.A7.A
2.A3.A2.A7.A2.A3.A2.A7.A2.A3.A2.A7.A2.A3.A2.A7.A2.A3.A2.A3.AC.C4.2A.A
3.A.2A7.2A.A3.A.2A7.2A.A3.A.2A7.2A.A3.A.2A7.2A.A3.A.2A7.2A.A3.A.2A7.
2A.A3.A.2A7.2A.A3.A.2A4.2C$127.2C4.A.A5.A.A7.A.A5.A.A4.2C4.A.A5.A.A7.
A.A5.A.A7.A.A5.A.A7.A.A5.A.A7.A.A5.A.A7.A.A5.A.A7.A.A5.A.A7.A.A5.A.A
7.A.A5.A.A7.A.A5.A.A4.2C7.A5.A11.A5.A11.A5.A11.A5.A11.A5.A11.A5.A11.A
5.A11.A5.A6.2C$133.A.A5.A.A7.A.A5.A.A10.A.A5.A.A7.A.A5.A.A7.A.A5.A.A
7.A.A5.A.A7.A.A5.A.A7.A.A5.A.A7.A.A5.A.A7.A.A5.A.A7.A.A5.A.A7.A.A5.A.
A$361.A17.A17.A17.A17.A17.A17.A17.A$137.3A15.3A18.3A15.3A15.3A15.3A
15.3A15.3A15.3A15.3A15.3A15.3A8.2A10.A17.A17.A17.A17.A17.A17.A17.A$
347.A.4A8.A17.A17.A17.A17.A17.A17.A17.A$135.A5.A11.A5.A14.A5.A11.A5.A
11.A5.A11.A5.A11.A5.A11.A5.A11.A5.A11.A5.A11.A5.A11.A5.A6.5A$135.A5.A
11.A5.A14.A5.A11.A5.A11.A5.A11.A5.A11.A5.A11.A5.A11.A5.A11.A5.A11.A5.
A11.A5.A6.A3.A3.3A3.3A9.3A3.3A9.3A3.3A9.3A3.3A9.3A3.3A9.3A3.3A9.3A3.
3A9.3A3.3A$135.A5.A11.A5.A14.A5.A11.A5.A11.A5.A11.A5.A11.A5.A11.A5.A
11.A5.A11.A5.A11.A5.A11.A5.A3.A2.A$347.2AC11.A17.A17.A17.A17.A17.A17.
A17.A$137.3A15.3A18.3A15.3A15.3A15.3A15.3A15.3A15.3A15.3A15.3A15.3A
20.A17.A17.A17.A17.A17.A17.A17.A$361.A17.A17.A17.A17.A17.A17.A17.A3$
135.3A.3A11.3A.3A14.3A.3A11.3A.3A11.3A.3A11.3A.3A11.3A.3A11.3A.3A11.
3A.3A11.3A.3A11.3A.3A17.A$132.2A9.2A5.2A9.2A8.2A9.2A5.2A9.2A5.2A9.2A
5.2A9.2A5.2A9.2A5.2A9.2A5.2A9.2A5.2A9.2A5.2A9.2A11.2A2.A11.2A2.2A.2A
2.2A5.2A2.2A.2A2.2A5.2A2.2A.2A2.2A5.2A2.2A.2A2.2A5.2A2.2A.2A2.2A5.2A
2.2A.2A2.2A5.2A2.2A.2A2.2A5.2A2.2A.2A2.2A$132.2A9.2A5.2A9.2A8.2A9.2A
5.2A9.2A5.2A9.2A5.2A9.2A5.2A9.2A5.2A9.2A5.2A9.2A5.2A9.2A5.2A9.2A11.A
3.A11.2A.2A3.2A.2A5.2A.2A3.2A.2A5.2A.2A3.2A.2A5.2A.2A3.2A.2A5.2A.2A3.
2A.2A5.2A.2A3.2A.2A5.2A.2A3.2A.2A5.2A.2A3.2A.2A$341.2A16.2A.2A13.2A.
2A13.2A.2A13.2A.2A13.2A.2A13.AC.CA13.AC.CA13.AC.CA$340.2A17.2A.2A13.
2A.2A13.2A.2A13.2A.2A13.2A.2A13.AC.CA13.AC.CA13.AC.CA$341.2A16.A3.A
13.A3.A13.A3.A13.A3.A13.A3.A13.A3.A13.A3.A13.A3.A$340.A.2A$340.A2.A$
340.4A5$345.2A$345.A2.A2$346.A2.A$348.A!

not sure where that "exploration" results are, the wiki about pi wave is nearly blank...

rabbit · Post by **rabbit** » September 3rd, 2026, 9:14 pm

Jormungant wrote: September 3rd, 2026, 8:50 pm Not sure if this is known, but here some beacon/carrier action:

[...]

not sure where that "exploration" results are, the wiki about pi wave is nearly blank...

It can also be supported by a backward glider in at least one way:

Code: Select all

x = 48, y = 26, rule = B3/S23
46bo$45bo$13bo17bo13b3o$12bobo15bobo$2o10bobo15bobo$o2bo8bobo15bobo$2b
2o3$12bobo15bobo2$11bo3bo13bo3bo$12b3o15b3o4$10b2o3b2o11b2o3b2o$10bo5b
o11bo5bo$11b5o13b5o$11bobobo13bobobo$10bo5bo11bo5bo$10bob3obo11bob3obo
$10bo5bo11bo5bo$13bo17bo$13bo17bo$13bo17bo!

I'm brainstorming of ways to measure the viability of two-Pi (or three-Pi with central symmetry) tandem configurations and see which ones are the strongest. I would bet there's at least a few where all units survive 2+ cycles and leave well-separated ash.

I believe that there's a Pi-ship out there somewhere!

TheWayOfTheCon · Post by **TheWayOfTheCon** » September 3rd, 2026, 9:23 pm

Jormungant wrote: September 3rd, 2026, 8:50 pm Not sure if this is known, but here some beacon/carrier action:

Code: Select all

x = 418, y = 227, rule = LifeHistory
5$5.B$5.B.B$5.2B2$8.2C$8.C2.C37.2C$10.2C37.2C3$5.B$5.B.B$5.2B$396.2C$
8.2C386.2C$8.C2.C37.2C343.2C$10.2C37.2C343.2C3$5.B394.B$5.B.B390.B.B$
5.2B392.2B$49.B346.2C$8.2C386.2C$8.C2.C37.2C343.2C$10.2C37.2C343.2C3$
5.B394.B$5.B.B390.B.B$5.2B392.2B$396.2C$8.2C386.2C$8.C2.C37.2C343.2C$
10.2C37.2C343.2C3$5.B394.B$5.B.B390.B.B$5.2B392.2B$49.B346.2C$8.2C
386.2C$8.C2.C37.2C343.2C$10.2C37.2C343.2C3$5.B394.B$5.B.B390.B.B$5.2B
392.2B$396.2C$8.2C386.2C$8.C2.C37.2C343.2C$10.2C37.2C343.2C3$5.B394.B
$5.B.B390.B.B$5.2B392.2B$396.2C$8.2C386.2C$8.C2.C37.2C343.2C$10.2C37.
2C343.2C3$5.B394.B$5.B.B390.B.B$5.2B392.2B$396.2C$8.2C386.2C$8.C2.C
37.2C343.2C$10.2C37.2C343.2C3$5.B394.B$5.B.B390.B.B$5.2B392.2B$49.B
346.2C$8.2C386.2C$8.C2.C37.2C343.2C$10.2C37.2C343.2C3$5.B394.B$5.B.B
390.B.B$5.2B392.2B$396.2C$8.2C386.2C$8.C2.C37.2C343.2C$10.2C37.2C343.
2C3$5.B394.B$5.B.B390.B.B$5.2B392.2B$396.2C$8.2C386.2C$8.C2.C37.2C
343.2C$10.2C37.2C343.2C3$5.B394.B$5.B.B390.B.B$5.2B392.2B$396.2C$8.2C
386.2C$8.C2.C37.2C343.2C$10.2C37.2C343.2C3$5.B394.B$5.B.B390.B.B$5.2B
392.2B$49.B346.2C$8.2C386.2C$8.C2.C37.2C343.2C$10.2C37.2C343.2C3$5.B
394.B$5.B.B390.B.B$5.2B392.2B$396.2C$8.2C386.2C$8.C2.C37.2C343.2C$10.
2C37.2C343.2C3$5.B394.B$5.B.B390.B.B$5.2B392.2B$396.2C$8.2C386.2C$8.C
2.C37.2C343.2C$10.2C37.2C343.2C3$5.B394.B$5.B.B390.B.B$5.2B392.2B$
396.2C$8.2C386.2C$8.C2.C37.2C343.2C$10.2C37.2C343.2C3$5.B394.B$5.B.B
390.B.B$5.2B392.2B$49.B346.2C$8.2C386.2C$8.C2.C37.2C343.2C$10.2C37.2C
343.2C3$5.B394.B$5.B.B390.B.B$5.2B392.2B$396.2C$8.2C386.2C$8.C2.C37.
2C343.2C$10.2C37.2C343.2C3$5.B38.B355.B$5.B.B36.B353.B.B$5.2B37.2B
353.2B$396.2C$8.2C386.2C$8.C2.C37.2C343.2C$10.2C37.2C343.2C3$5.B38.B
355.B$5.B.B36.B353.B.B$5.2B37.2B353.2B$396.2C$8.2C386.2C$8.C2.C37.2C
343.2C$10.2C37.2C343.2C3$5.B394.B$5.B.B390.B.B$5.2B32.D6.B13.D35.D35.
D35.D35.D35.D35.D35.D35.D35.D14.2B$38.D.D5.2B.B9.D.D33.D.D33.D.D33.D.
D33.D.D33.D.D33.D.D33.D.D33.D.D33.D.D10.2C$8.2C10.D.D15.D.D18.D.D33.D
.D33.D.D33.D.D33.D.D33.D.D33.D.D33.D.D33.D.D33.D.D10.2C$8.C2.C8.DBD
15.DBD8.2C8.DBD16.B16.DBD16.B16.DBD16.B16.DBD16.B16.DBD16.B16.DBD16.B
16.DBD16.B16.DBD16.B16.DBD16.B16.DBD8.2C$10.2C8.3A15.3A8.2C8.3A15.3A
15.3A15.3A15.3A15.3A15.3A15.3A15.3A15.3A15.3A15.3A15.3A15.3A15.3A15.
3A15.3A15.3A15.3A8.2C$20.3B15.3B18.3B15.3B15.3B15.3B15.3B15.3B15.3B
15.3B15.3B15.3B15.3B15.3B15.3B15.3B15.3B15.3B15.3B15.3B15.3B$19.BABAB
13.BABAB16.BABAB13.BABAB13.BABAB13.BABAB13.BABAB13.BABAB13.BABAB13.BA
BAB13.BABAB13.BABAB13.BABAB13.BABAB13.BABAB13.BABAB13.BABAB13.BABAB
13.BABAB13.BABAB13.BABAB$5.B9.3A2BABA2B3A5.3A2BABA2B3A8.3A2BABA2B3A5.
3A2BABA2B3A5.3A2BABA2B3A5.3A2BABA2B3A5.3A2BABA2B3A5.3A2BABA2B3A5.3A2B
ABA2B3A5.3A2BABA2B3A5.3A2BABA2B3A5.3A2BABA2B3A5.3A2BABA2B3A5.3A2BABA
2B3A5.3A2BABA2B3A5.3A2BABA2B3A5.3A2BABA2B3A5.3A2BABA2B3A5.3A2BABA2B3A
5.3A2BABA2B3A5.3A2BABA2B3A9.B$5.B.B6.14B5.14B7.13B5.13B5.13B5.13B5.
13B5.13B5.13B5.13B5.13B5.13B5.13B5.13B5.13B5.13B5.13B5.13B5.13B5.13B
5.13B7.B.B$5.2B6.2A3BABACABA3B2A.2A3BABACABA3B2A4.2A3BABACABA3B2A.2A
3BABACABA3B2A.2A3BABACABA3B2A.2A3BABACABA3B2A.2A3BABACABA3B2A.2A3BABA
CABA3B2A.2A3BABACABA3B2A.2A3BABACABA3B2A.2A3BABACABA3B2A.2A3BABACABA
3B2A.2A3BABACABA3B2A.2A3BABACABA3B2A.2A3BABACABA3B2A.2A3BABACABA3B2A.
2A3BABACABA3B2A.2A3BABACABA3B2A.2A3BABACABA3B2A.2A3BABACABA3B2A.2A3BA
BACABA3B2A6.2B$13.A4BABDBDBA4BA.A4BABDBDBA4BA4.A4BABDBDBA4BA.A4BABDBD
BA4BA.A4BABDBDBA4BA.A4BABDBDBA4BA.A4BABDBDBA4BA.A4BABDBDBA4BA.A4BABDB
DBA4BA.A4BABDBDBA4BA.A4BABDBDBA4BA.A4BABDBDBA4BA.A4BABDBDBA4BA.A4BABD
BDBA4BA.A4BABDBDBA4BA.A4BABDBDBA4BA.A4BABDBDBA4BA.A4BABDBDBA4BA.A4BAB
DBDBA4BA.A4BABDBDBA4BA.A4BABDBDBA4BA3.2C$8.2C3.2A2B2ABD.DB2A2B2A.2A2B
2ABD.DB2A2B2A4.2A2B2ABD.DB2A2B2A.2A2B2ABD.DB2A2B2A.2A2B2ABD.DB2A2B2A.
2A2B2ABD.DB2A2B2A.2A2B2ABD.DB2A2B2A.2A2B2ABD.DB2A2B2A.2A2B2ABD.DB2A2B
2A.2A2B2ABD.DB2A2B2A.2A2B2ABD.DB2A2B2A.2A2B2ABD.DB2A2B2A.2A2B2ABD.DB
2A2B2A.2A2B2ABD.DB2A2B2A.2A2B2ABD.DB2A2B2A.2A2B2ABD.DB2A2B2A.2A2B2ABD
.DB2A2B2A.2A2B2ABD.DB2A2B2A.2A2B2ABD.DB2A2B2A.2A2B2ABD.DB2A2B2A.2A2B
2ABD.DB2A2B2A3.2C$8.C2.C4.2BABD.DBA2B7.2BABD.DBA2B4.2C4.2BABD.DBA2B7.
2BABD.DBA2B7.2BABD.DBA2B7.2BABD.DBA2B7.2BABD.DBA2B7.2BABD.DBA2B7.2BAB
D.DBA2B7.2BABD.DBA2B7.2BABD.DBA2B7.2BABD.DBA2B7.2BABD.DBA2B7.2BABD.DB
A2B7.2BABD.DBA2B7.2BABD.DBA2B7.2BABD.DBA2B7.2BABD.DBA2B7.2BABD.DBA2B
7.2BABD.DBA2B7.2BABD.DBA2B4.2C$10.2C4.3A5.3A7.3A5.3A4.2C4.3A5.3A7.3A
5.3A7.3A5.3A7.3A5.3A7.3A5.3A7.3A5.3A7.3A5.3A7.3A5.3A7.3A5.3A7.3A5.3A
7.3A5.3A7.3A5.3A7.3A5.3A7.3A5.3A7.3A5.3A7.3A5.3A7.3A5.3A7.3A5.3A7.3A
5.3A4.2C$16.2A7.2A7.2A7.2A10.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.
2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.
2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A3$50.C!

Hmm...

Code: Select all

x = 52, y = 15, rule = LifeHistory
25.D$14.B9.D.D$24.D.D$14.2C8.DBD16.B$14.2C8.3A15.3A$24.3B15.3B$23.BAB
AB13.BABAB$3A16.3A2BABA2B3A5.3A2BABA2B3A$A.A16.13B5.13B$A.A14.2A3BABA
CABA3B2A.2A3BABACABA3B2A$12.D4.A4BABDBDBA4BA.A4BABDBDBA4BA$11.D5.2A2B
2ABD.DB2A2B2A.2A2B2ABD.DB2A2B2A$11.3D2C4.2BABD.DBA2B7.2BABD.DBA2B$14.
2C4.3A5.3A7.3A5.3A$20.2A7.2A7.2A7.2A!
#C [[ STOP 48 ]]

No idea if this would be useful for the hunt, though, especially since the pis are in different phases.

EDIT: After testing I don't think the reaction can be scaled up or done multiple times.

LuveelVoom · Post by **LuveelVoom** » September 3rd, 2026, 9:56 pm

NNlk05 wrote: September 3rd, 2026, 3:41 pm
HartmutHolzwart wrote: September 3rd, 2026, 2:37 am The major obstacle is that the pi is very sensitive to asymmetric disturbance.
Even if it's very sensitive, that doesn't mean its imposible; Observe:
NNlk05 wrote: June 24th, 2026, 8:31 am The most useless thing I ever made.
(A "Null Catalyst" that does nothing.)
Code: Select all
x = 11, y = 31, rule = DoubleB3S23
5.2A$4.A2.A$3.A2.2A$4.2A2.2A$.3A2.A3.A$A4.A.3A$.3A.A.A$3.2A21$6.3C$6.
C.C$6.C.C!

This is unfortunately not that useful as it affects the pi from the top. If there was something similar that stabilized the side, and perhaps released gliders when interacted with... and even if it was easy to synthesize...

Jormungant · Post by **Jormungant** » September 3rd, 2026, 10:53 pm

Well, I did dig up these for this forum I guess: (from Posted by H. Koenig‏‎ on March 19, 2005. , but I added block trail stabilators and combined a few)

Code: Select all

x = 1753, y = 1364, rule = B3/S23
418b2o97b2o$418b2o97b2o8$418b2o97b2o$418b2o97b2o8$418b2o97b2o$418b2o
97b2o8$418b2o97b2o$418b2o97b2o6$1376b2o61b2o$1376b2o61b2o$418b2o97b2o$
418b2o97b2o6$1376b2o61b2o$1376b2o61b2o$418b2o97b2o$418b2o97b2o6$1376b
2o61b2o$1376b2o61b2o$418b2o97b2o$418b2o97b2o6$1376b2o61b2o$1376b2o61b
2o$418b2o97b2o$418b2o97b2o6$1376b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o
97b2o989b2o97b2o$418b2o97b2o6$1376b2o61b2o$1376b2o61b2o67b2o97b2o$418b
2o97b2o989b2o97b2o$418b2o97b2o6$1376b2o61b2o$1376b2o61b2o67b2o97b2o$
418b2o97b2o989b2o97b2o$418b2o97b2o6$1376b2o61b2o$1376b2o61b2o67b2o97b
2o$418b2o97b2o989b2o97b2o$418b2o97b2o6$1376b2o61b2o$1376b2o61b2o67b2o
97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o5$715b2o591b2o$715b2o591b2o66b
2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o5$
715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o
989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o
591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o
97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$
1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$
1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b
2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o
591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o
97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b2o
66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o
1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o
61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o
97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b
2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$
715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$
418b2o97b2o1133b2o97b2o$1652b2o97b2o$106b2o25b2o$106b3o23b3o$106b3o23b
3o$106b3o23b3o580b2o591b2o$105bob2o23b2obo579b2o591b2o66b2o61b2o$105b
3o25b3o1240b2o61b2o67b2o97b2o$106bo27bo283b2o97b2o989b2o97b2o$418b2o
97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$
1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$
1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b
2o$105b2o27b2o282b2o97b2o989b2o97b2o$104b3o27b3o281b2o97b2o1133b2o97b
2o$104b3o27b3o1515b2o97b2o$104b3o27b3o$104b2obo25bob2o$105b3o25b3o$
106bo27bo580b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$
418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o
591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o
97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$106b2o25b2o580b2o591b2o$
106b3o23b3o580b2o591b2o66b2o61b2o$106b3o23b3o1241b2o61b2o67b2o97b2o$
106b3o23b3o283b2o97b2o989b2o97b2o$105bob2o23b2obo282b2o97b2o1133b2o97b
2o$105b3o25b3o1516b2o97b2o$106bo27bo3$715b2o591b2o$715b2o591b2o66b2o
61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o
97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o
67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o
$105b2o27b2o$104b3o27b3o$104b3o27b3o$104b3o27b3o578b2o591b2o$104b2obo
25bob2o578b2o591b2o66b2o61b2o$105b3o25b3o1240b2o61b2o67b2o97b2o$106bo
27bo283b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b
2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b
2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b
2o66b2o61b2o$1376b2o61b2o67b2o97b2o$106b2o25b2o283b2o97b2o989b2o97b2o$
106b3o23b3o283b2o97b2o1133b2o97b2o$106b3o23b3o1517b2o97b2o$106b3o23b3o
$105bob2o23b2obo$105b3o25b3o$106bo27bo580b2o591b2o$715b2o591b2o66b2o
61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o
97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o
67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o
4$105b2o27b2o579b2o591b2o$104b3o27b3o578b2o591b2o66b2o61b2o$104b3o27b
3o1239b2o61b2o67b2o97b2o$104b3o27b3o281b2o97b2o989b2o97b2o$104b2obo25b
ob2o281b2o97b2o1133b2o97b2o$105b3o25b3o1516b2o97b2o$106bo27bo3$715b2o
591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o
97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b2o
66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o
1133b2o97b2o$1652b2o97b2o$106b2o25b2o$106b3o23b3o$106b3o23b3o$106b3o
23b3o580b2o591b2o$105bob2o23b2obo579b2o591b2o66b2o61b2o$105b3o25b3o
1240b2o61b2o67b2o97b2o$106bo27bo283b2o97b2o989b2o97b2o$418b2o97b2o
1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o
61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o
97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$105b
2o27b2o282b2o97b2o989b2o97b2o$104b3o27b3o281b2o97b2o1133b2o97b2o$104b
3o27b3o1515b2o97b2o$104b3o27b3o$104b2obo25bob2o$105b3o25b3o$106bo27bo
580b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o
989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o
591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o
97b2o1133b2o97b2o$1652b2o97b2o4$106b2o25b2o580b2o591b2o$106b3o23b3o
580b2o591b2o66b2o61b2o$106b3o23b3o1241b2o61b2o67b2o97b2o$106b3o23b3o
283b2o97b2o989b2o97b2o$105bob2o23b2obo282b2o97b2o1133b2o97b2o$105b3o
25b3o1516b2o97b2o$106bo27bo3$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b
2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b
2o97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$
418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o$105b2o27b
2o$104b3o27b3o$104b3o27b3o$104b3o27b3o578b2o591b2o$104b2obo25bob2o578b
2o591b2o66b2o61b2o$105b3o25b3o1240b2o61b2o67b2o97b2o$106bo27bo283b2o
97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$
715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$
418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o
61b2o$1376b2o61b2o67b2o97b2o$106b2o25b2o283b2o97b2o989b2o97b2o$106b3o
23b3o283b2o97b2o1133b2o97b2o$106b3o23b3o1517b2o97b2o$106b3o23b3o$105bo
b2o23b2obo$105b3o25b3o$106bo27bo580b2o591b2o$715b2o591b2o66b2o61b2o$
1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$
1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b
2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$105b2o
27b2o579b2o591b2o$104b3o27b3o578b2o591b2o66b2o61b2o$104b3o27b3o1239b2o
61b2o67b2o97b2o$104b3o27b3o281b2o97b2o989b2o97b2o$104b2obo25bob2o281b
2o97b2o1133b2o97b2o$105b3o25b3o1516b2o97b2o$106bo27bo3$715b2o591b2o$
120bo594b2o591b2o66b2o61b2o$119bobo1254b2o61b2o67b2o97b2o$119bobo296b
2o97b2o989b2o97b2o$119bobo296b2o97b2o1133b2o97b2o$1652b2o97b2o2$115b3o
5b3o$114bo11bo$114b2obo5bob2o588b2o591b2o$116bo7bo590b2o591b2o66b2o61b
2o$112b2o13b2o1247b2o61b2o67b2o97b2o$111b2ob3o7b3ob2o288b2o97b2o989b2o
97b2o$112bo2bo9bo2bo289b2o97b2o1133b2o97b2o$113b3o9b3o1524b2o97b2o$
106b2o25b2o$106b3o23b3o$106b3o23b3o$106b3o23b3o580b2o591b2o$105bob2o
23b2obo579b2o591b2o66b2o61b2o$105b3o25b3o1240b2o61b2o67b2o97b2o$106bo
27bo283b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b
2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b
2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b
2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o
1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o
61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o
97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b
2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$
715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$
418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o
61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o
97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o
67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o
4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b
2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b
2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b
2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$
1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$
1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b
2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o
591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o
97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b2o
66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o
1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o
61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o
97b2o4$715b2o591b2o$715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b
2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$715b2o591b2o$
715b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$
418b2o97b2o1133b2o97b2o$1652b2o97b2o4$2o713b2o591b2o$2o713b2o591b2o66b
2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b
2o97b2o$1652b2o97b2o4$2o713b2o591b2o$2o713b2o591b2o66b2o61b2o$1376b2o
61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o
97b2o4$2o713b2o591b2o$2o713b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$
418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$2o713b2o
591b2o$2o713b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b
2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o4$2o713b2o591b2o$2o713b2o
591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o
97b2o1133b2o97b2o$1652b2o97b2o4$2o713b2o591b2o$2o713b2o591b2o66b2o61b
2o$1376b2o61b2o67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b
2o$1652b2o97b2o4$2o713b2o591b2o$2o713b2o591b2o66b2o61b2o$1376b2o61b2o
67b2o97b2o$418b2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o
4$2o713b2o591b2o$2o713b2o591b2o66b2o61b2o$1376b2o61b2o67b2o97b2o$418b
2o97b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o$449bo37bo$448b
3o35b3o$430bo16bo3bo16bo16bo3bo16bo$2o427b3o15b2ob2o15b3o15b2ob2o15b3o
207b2o591b2o$2o426b2ob2o33b2ob2o33b2ob2o206b2o591b2o66b2o61b2o$427b2o
3b2o31b2o3b2o31b2o3b2o866b2o61b2o67b2o97b2o$418b2o8b2ob2o33b2ob2o33b2o
b2o8b2o989b2o97b2o$418b2o97b2o1133b2o97b2o$1652b2o97b2o2$440b3o13b3o
19b3o13b3o$440b4o11b4o19b4o11b4o$2o437bo4bo9bo4bo17bo4bo9bo4bo217b2o
591b2o$2o439bo15bo21bo15bo219b2o591b2o66b2o61b2o$437bo7bo7bo7bo13bo7bo
7bo7bo876b2o61b2o67b2o97b2o$443bo2bo5bo2bo9b2o3b2o9bo2bo5bo2bo1014b2o
97b2o$430b2o8bo5b2o3b2o5bo6bobobobo6bo5b2o3b2o5bo8b2o1145b2o97b2o$432b
o7bo4b2o5b2o4bo8bobo8bo4b2o5b2o4bo7bo1147b2o97b2o$436bo2bo19bo2bo3b2ob
2o3bo2bo19bo2bo$436b2o23b2o11b2o23b2o2$2o713b2o591b2o$2o713b2o591b2o
66b2o61b2o$446b2o3b2o31b2o3b2o885b2o61b2o67b2o97b2o$446bobobobo12b2o3b
2o12bobobobo1017b2o97b2o$448bobo14bobobobo14bobo1163b2o97b2o$446bobobo
bo14bobo14bobobobo1161b2o97b2o$446b2o3b2o13b2ob2o13b2o3b2o3$2o713b2o
591b2o$2o713b2o591b2o66b2o61b2o$446b2o3b2o31b2o3b2o885b2o61b2o67b2o97b
2o$446bobobobo12b2o3b2o12bobobobo1017b2o97b2o$448bobo14bobobobo14bobo
1163b2o97b2o$446bobobobo14bobo14bobobobo1161b2o97b2o$446b2o3b2o13b2ob
2o13b2o3b2o1048bo37bo$1538bobo35bobo$1538bobo35bobo$2o713b2o591b2o209b
3o16bobo16b3o16bobo16b3o$2o713b2o591b2o66b2o61b2o77bo3bo33bo3bo33bo3bo
$446b2o3b2o31b2o3b2o885b2o61b2o67b2o8b2ob2o12bo7bo12b2ob2o12bo7bo12b2o
b2o8b2o$446bobobobo12b2o3b2o12bobobobo1017b2o25b2o5b2o29b2o5b2o25b2o$
448bobo14bobobobo14bobo1046b2o5b2o29b2o5b2o70b2o97b2o$446bobobobo14bob
o14bobobobo1161b2o97b2o$446b2o3b2o13b2ob2o13b2o3b2o1033b2o27b2o7b2o27b
2o$1530bobo13bobo19bobo13bobo$1011b3o515bo2bo13bo2bo17bo2bo13bo2bo$2o
713b2o294b3o294b2o220bobo13bobo19bobo13bobo$2o713b2o276bo37bo276b2o66b
2o61b2o82bo10bo9bo10bo5bo10bo9bo10bo$446b2o3b2o31b2o3b2o500b2ob2o15bob
o15b2ob2o342b2o61b2o81bo3b3o6b2o5b2o6b3o3bo3bo3b3o6b2o5b2o6b3o3bo$446b
obobobo12b2o3b2o12bobobobo482b3o15b2ob2o33b2ob2o15b3o468bo2bo4bo5b2o7b
2o5bo4bobobobo4bo5b2o7b2o5bo4bo2bo85b3o35b3o$448bobo14bobobobo14bobo
484b3o31b3o5b3o31b3o468bobo2bo2bo21bo2bo2b2ob2o2bo2bo21bo2bo2bobo55b2o
29bo37bo29b2o$446bobobobo14bobo14bobobobo463b3o15bo3bo33bo3bo33bo3bo
15b3o449bo6bo23bo5bobo5bo23bo6bo55b2o97b2o$446b2o3b2o13b2ob2o13b2o3b2o
445bo16bo3bo14b2ob2o12bo7bo29bo7bo12b2ob2o14bo3bo16bo433b2o2bo25bo2b2o
3b2o2bo25bo2b2o68b3o35b3o35b3o$935b3o14bo5bo29bo9bo9bo3bo3bo9bo9bo29bo
5bo14b3o435bo27bo9bo27bo72bo10b2ob11ob2o10bo10b2ob11ob2o10bo$916b3o15b
5o13bo5bo30bo8bo4b2o3bo7bo3b2o4bo8bo30bo5bo13b5o15b3o566b2ob2obobobob
2ob2o21b2ob2obobobob2ob2o$2o713b2o216bo5bo12b3ob3o44b3o13b3o44b3ob3o
12bo5bo216b2o364bo4bo7bo4bo19bo4bo7bo4bo$2o713b2o198bo3bo12b2o5b2o56bo
5bo2bo11bo2bo5bo56b2o5b2o12bo3bo198b2o66b2o61b2o95b2o3b2o31b2o3b2o75b
2ob11ob2o2bo3bob2ob2obo3bo2b2ob11ob2o2bo3bob2ob2obo3bo2b2ob11ob2o$446b
2o3b2o31b2o3b2o407bo16bo3bo11b2o7b2o42b3o12bo8bo7bo8bo12b3o42b2o7b2o
11bo3bo16bo249b2o61b2o95bobobobo12b2o3b2o12bobobobo75b2ob2obobobob2ob
2o4b2o2bo3bo2b2o4b2ob2obobobob2ob2o4b2o2bo3bo2b2o4b2ob2obobobob2ob2o$
211b3o78bo153bobobobo12b2o3b2o12bobobobo406b3o13bo7bo10bobo3bobo25bo
17bo2bo7b2o3bo3bo3bo7bo3bo3bo3b2o7bo2bo17bo25bobo3bobo10bo7bo13b3o410b
obo14bobobobo14bobo76bo4bo7bo4bo3b2ob2o3b2ob2o3bo4bo7bo4bo3b2ob2o3b2ob
2o3bo4bo7bo4bo$172bo18b3o37b3o17b3o17b3o17bobo154bobo14bobobobo14bobo
408b3o11b2o4bo4b2o9b2o3b2o25bo2bo15b2ob2o5bo5b2o3bob2o7b2obo3b2o5bo5b
2ob2o15bo2bo25b2o3b2o9b2o4bo4b2o11b3o408bobobobo14bobo14bobobobo71b3ob
o3bob2ob2obo3bo21bo3bob2ob2obo3bo21bo3bob2ob2obo3bob3o$51b3o78bo19bo
18bobo16bo3bo15bo3bo56b3o17bobo152bobobobo14bobo14bobobobo387b3o12bo9b
o7bo4bobo4bo40bo3bo12b2o10b3o2b3o23b3o2b3o10b2o12bo3bo40bo4bobo4bo7bo
9bo12b3o389b2o3b2o13b2ob2o13b2o3b2o71b2o4b2o2bo3bo2b2o25b2o2bo3bo2b2o
25b2o2bo3bo2b2o4b2o$12bo18b3o16bo3bo16b3o17b3o17b3o17b3o16b2ob2o15bo3b
o14bo5bo14bo3bo16bobo17bobo17b3o17bobo152b2o3b2o13b2ob2o13b2o3b2o369bo
18bo12b3o3bo3b3o6bo3bo3bo3bo44bo7b2o2bo2bo4bobo3bo4bo25bo4bo3bobo4bo2b
o2b2o7bo44bo3bo3bo3bo6b3o3bo3b3o12bo18bo493b2ob2o3b2ob2o25b2ob2o3b2ob
2o25b2ob2o3b2ob2o$11b3o16bo3bo15bo3bo17bo19bo19bo17bo3bo15b2ob2o15bo3b
o13bo3bo3bo11bo7bo9b3o2bobo2b3o10bo5bo13bo5bo584bo30bob2o3bo3b2obo6b2o
bo3bob2o24bobo25b3o2bo2bo5b2o4b4o27b4o4b2o5bo2bo2b3o25bobo24b2obo3bob
2o6bob2o3bo3b2obo30bo$10bo3bo14bo5bo12b2ob3ob2o53b2ob2o17bo37b2ob2o13b
o7bo9b2o4bo4b2o29b3obob3o10b3o5b3o581bobo28b2ob2o3bo3b2ob2o7bo5bo26bob
o25bo7bo5bo7b2o27b2o7bo5bo7bo25bobo26bo5bo7b2ob2o3bo3b2ob2o28bobo$2o8b
2ob2o14bo5bo11bobo5bobo8b3o7b3o28b11o10bo3bo3bo51bobo3bobo9bo4bobo4bo
5b2o3bob3obo3b2o3b3obo7bob3o2b3o6bo14b3o5b3o417b2o123b3o28b2ob11ob2o3b
4o7b4o43bo20b2obo6bobo59bobo6bob2o20bo43b4o7b4o3b2ob11ob2o28b3o123b2o
365b2obo9bob2o21b2obo9bob2o$2o27b3ob3o11bo9bo7bobo3b3o3bobo4b2ob11ob2o
3b2o4bobobo4bo3b2o3bo7bo19b2o31b2o3b2o10bo3bo3bo3bo5bo4bo5bo4bo2bobo4b
obobo4bob3o7b3o6bo3b5o9bo416b2o123b3o13b2ob3ob2o6b2ob2obobobob2ob2o8bo
3bo54b3o14bo7b2o61b2o7bo14b3o54bo3bo8b2ob2obobobob2ob2o6b2ob3ob2o13b3o
123b2o66b2o61b2o95b2o3b2o31b2o3b2o94b4o9b4o21b4o9b4o$47b2obo3bob2o7bo
13bo4b2ob2obobobob2ob2o3bo5bo3bo6b4o3bob5obo70b2obo3bob2o6b2o2b2o5b2o
2b2o9bobobo7b4o2bob2ob2obob2o5b2o2bo4bo3bo522b3o16b3o10bob2obo3bob2obo
b2o4bo7bo4bo4b2o7b2o53bo6b2o4b3o36b2o3b2o36b3o4b2o6bo53b2o7b2o4bo4bo7b
o4b2obob2obo3bob2obo10b3o16b3o172b2o61b2o95bobobobo12b2o3b2o12bobobobo
93b5o9b5o19b5o9b5o$49b2o3b2o9b2ob2o5b2ob2o3bo4bo7bo4bo2bo16b4o4bob3ob
2o2b2o14bo2bo50bo5bo13bo5bo8b4o2b5o2b4o7b4ob4o2bo5b3o7bobo523b3o13b2o
5bo7bobobobo3bob5o6bob2ob2obo3bo6bo7bo34b2o14bo7b2o31b2o13bobobobo13b
2o31b2o7bo14b2o34bo7bo6bo3bob2ob2obo6b5obo3bobobobo7bo5b2o13b3o334bobo
14bobobobo14bobo98b2o9b2o25b2o9b2o$67bo3bobo3bo6bo3bob2ob2obo3bo4b2ob
3o3b3ob3o2b2o12bo20bo16bo51b3o5b3o7b2o4bobo4b2o6b2ob2o3b2obobo5b2obo7b
o506bo30bo3bo5b3o4bo2b2obo5bo2b2ob2o2b2o2bo3bo2b2o50bo2bo12bo2bo5b2o
30bo2bo14bobo14bo2bo30b2o5bo2bo12bo2bo50b2o2bo3bo2b2o2b2ob2o2bo5bob2o
2bo4b3o5bo3bo30bo314bobobobo14bobo14bobobobo$15bo51b3o5b3o8b2o2bo3bo2b
2o9bo2bobo2bo6b5o8bo11b2o5b2o18bo51b2o7b2o7b5o5b5o18bo5bo3b2o4b2ob2o
502b2ob2o15bobo13bo3bo9b2obo2b2o3b2o5bo3b2ob2o3b2ob2o51b2o4bo8bobo39b
2o13bobobobo13b2o39bobo8bo4b2o51b2ob2o3b2ob2o3bo5b2o3b2o2bob2o9bo3bo
13bobo15b2ob2o312b2o3b2o13b2ob2o13b2o3b2o$15bobo68b2ob2o3b2ob2o9b2obob
ob2o7bo2bo11b2o2b2o9bo3bo15bo72b3o5b3o9b2o7b2o6b2o3b2o3b2o3bo483b3o15b
2ob2o31b2ob3o6bo2b2o4bo3bo2bo2bo49b2o22bobo7b2o21b2o32b2o3b2o32b2o21b
2o7bobo22b2o49bo2bo2bo3bo4b2o2bo6b3ob2o31b2ob2o15b3o433bo15bo21bo15bo$
4bo10bobo90b2o5b2o9bo2b2o3b2o2bo4b2ob3o4b2ob4o3b3o27bo15bo58b2o5b2o11b
2obobo5bo483b3o31b3o6b2o3bo5bob2ob2obo2bo3b3o2bobobobo53bo2bo11b2o40bo
2bo69bo2bo40b2o11bo2bo53bobobobo2b3o3bo2bob2ob2obo5bo3b2o6b3o31b3o433b
2o13b2o8b2ob2o8b2o13b2o$4bo4bo3b7o14bo73b3o3b3o9b2ob2o3b2ob2o5bo3b2o2b
2ob2o2bo3b5o4b2o20bo13bo3bo56bo5bo10bo2b2o3b2o2bo465b3o15bo3bo33bo3bob
o4bo5bob2ob4o3bobo2bo2b2o3b2o3bo50b2o11bo43b2o71b2o43bo11b2o50bo3b2o3b
2o2bo2bobo3b4ob2obo5bo4bobo3bo33bo3bo15b3o414bo15bo8b2ob2o8bo15bo$4b4o
2bo2b2ob2o5b2o7b2o14b4o75bo2bo3bo2bo6b2o6b2o5bo7b2o3b2o12b7ob2obo11bo
3bo73b3o5b3o417b2o29bo16bo3bo14b2ob2o12bo7bo17bo6b2o9b2obo3bo3bo2bo5bo
35b2o31b3o21b2o109b2o21b3o31b2o35bo5bo2bo3bo3bob2o9b2o6bo17bo7bo12b2ob
2o14bo3bo16bo29b2o365bobo11bobo21bobo11bobo$5b2o8b3o9bobo2b2o12bo5b2o
74b2o5b2o10bo2bo2bo5bo5bo3b2obo3b3o6bo3bo2b2ob4o13b2o4b2o12b2o481b2o
28b3o14bo5bo29bo9bo9bo3bo10bo2bo19bo7bo33bo2bo31bo21bo2bo107bo2bo21bo
31bo2bo33bo7bo19bo2bo10bo3bo9bo9bo29bo5bo14b3o28b2o66b2o61b2o95b2o3b2o
31b2o3b2o95b2o11b2o23b2o11b2o$5bo6b4obo8bo3b2obo3bo7bo6b2o4bo13b2o73b
3o4bo3bo6bo7bo2bobo5bo4bobobo2b4o18bobo13bo3bobo485b3o15b5o13bo5bo30bo
8bo4b2o3bo10bo2b2o2bo8b2o52b2o55b2o51b2o3b2o51b2o55b2o52b2o8bo2b2o2bo
10bo3b2o4bo8bo30bo5bo13b5o15b3o77b2o61b2o95bobobobo12b2o3b2o12bobobobo
$6b2obo2b2o6bo4b2o2bobobob2ob2o4bo13b2o12b2o4b2o67b2o7b2o7b2o5bo3bo2bo
4bo2b2ob2obobo3b2o6bo3bo7b3o5bo3bobo4bo2bo11bo7bobo479bo5bo12b3ob3o44b
3o9b2o3bo4b2obo5b2o34b2o30b5o20b2o56b2o12bobobobo12b2o56b2o20b5o30b2o
34b2o5bob2o4bo3b2o9b3o44b3ob3o12bo5bo256bobo14bobobobo14bobo$6bo2b2o2b
o3bobo4bo2bo2b2obob2ob2o3bo15b2o17b2o12bobo4bobo67b2o6b2o5bobo3b10o6bo
b2ob2o7b3o4bo5bo7b2o8bobo7b2o18bo443bo3bo12b2o5b2o56bo5bo2bo7bo2b2o9bo
5bo34bo2bo11b3o16b3o20bo2bo54bo2bo13bobo13bo2bo54bo2bo20b3o16b3o11bo2b
o34bo5bo9b2o2bo7bo2bo5bo56b2o5b2o12bo3bo236bobobobo14bobo14bobobobo$8b
o8b2o5b3o5bo2b2o2bo6b3o3bo6b3o5b4obo8b2o9bo2bo3bo3bo9bo7b2o61b3o8b4o7b
ob2obobo5b3o4b2o3b2obo4bo3b2ob2o5bo12bo5b4o4bo444bo3bo11b2o7b2o42b3o
12bo8bo4bo3b2o51b2o32bo22b2o55bobo12bobobobo12bobo55b2o22bo32b2o51b2o
3bo4bo8bo12b3o42b2o7b2o11bo3bo236b2o3b2o13b2ob2o13b2o3b2o$37b2o7bob4ob
o5b2o5bo2bo3bo7b3o2b3o2bo11b2obo6bo7b2o10b2o62bo6bob2o5b2o3bobo9b3ob2o
5b2o3bo2bobo11bo6bo11bo440bo7bo10bobo3bobo25bo17bo2bo7b2o3bo3bo3bo5bo
2b2o32b2o30bo3bo20b2o56b2o17bo13b2o3b2o13bo17b2o56b2o20bo3bo30b2o32b2o
2bo5bo3bo3bo3b2o7bo2bo17bo25bobo3bobo10bo7bo$43b2obo3b4o4b2o5bob3o2b3o
6b2o3b6o7bo5bobo6bo6b3o80b3o5b2o4b2o12bo2bo2bo2bo5b3obo2b2o7bobo4bo5bo
5bo10b2o426b2o4bo4b2o9b2o3b2o25bo2bo15b2ob2o5bo5b2o3bob2o6b2o33bo2bo
12bo16bo3bo19bo2bo54bo2bo67bo2bo54bo2bo19bo3bo16bo12bo2bo33b2o6b2obo3b
2o5bo5b2ob2o15bo2bo25b2o3b2o9b2o4bo4b2o396b2ob2o$45bo6bo5bo7bobo6bo2b
2o11bobo9bobo2bob3ob2o7bo9bobo90bo5bo2bo2bobo7bob2ob2obo4bo3bo6bo2bo
445bo4bobo4bo40bo3bo12b2o10b3o2b3o50b2o12b3o40b2o55bobo69bobo55b2o40b
3o12b2o50b3o2b3o10b2o12bo3bo40bo4bobo4bo396b2ob2o$64bob2o5b2o3b2o11bob
o2bo2bo3bo2b4obo3bo14b2o2bo91bo6b2o11bo5bo8bo9bo443b2o4bo3bo3bo3bo44bo
7b2o2bo2bo4bobo3bo4bo32b2o13bo36b3o2b2o56b2o17bo71bo17b2o56b2o2b3o36bo
13b2o32bo4bo3bobo4bo2bo2b2o7bo44bo3bo3bo3bo4b2o$65b2o6bo12bo5bo2b2o2bo
bo5b2obo12bo102bo19bo6b4o458b2o5b2obo3bob2o24bobo25b3o2bo2bo5b2o4b4o
32bo2bo12bo40bo2bo54bo2bo105bo2bo54bo2bo40bo12bo2bo32b4o4b2o5bo2bo2b3o
25bobo24b2obo3bob2o5b2o66b2o61b2o95b2o3b2o31b2o3b2o$86bo6b2o12b2ob2o
134bo7bo11bo457bo5bo26bobo25bo7bo5bo7b2o33b2o31b3o21b2o55bobo50b2o3b2o
50bobo55b2o21b3o31b2o33b2o7bo5bo7bo25bobo26bo5bo75b2o61b2o95bobobobo
12b2o3b2o12bobobobo$86bo19b2o7bo150b2o18b2o471bo20b2obo6bobo30b2o51bo
3b2o56b2o17bo37b2o12bobobobo12b2o37bo17b2o56b2o3bo51b2o30bobo6bob2o20b
o272bobo14bobobobo14bobo$106bo6bobo10b2o158b2o477b3o14bo7b2o30bo2bo53b
o2bo54bo2bo53bo2bo13bobo13bo2bo53bo2bo54bo2bo53bo2bo30b2o7bo14b3o276bo
bobobo14bobo14bobobobo$126b2o18b2o619bo6b2o4b3o40b2o55b2o55bobo54bobo
12bobobobo12bobo54bobo55b2o55b2o40b3o4b2o6bo278b2o3b2o13b2ob2o13b2o3b
2o$146b2o18b2o579b2o14bo7b2o31b2o51b6o56b2o17bo37b2o17bo13b2o3b2o13bo
17b2o37bo17b2o56b6o51b2o31b2o7bo14b2o$6b2o158b2o18b2o558bo2bo12bo2bo5b
2o30bo2bo32bo17b4o2bo54bo2bo53bo2bo67bo2bo53bo2bo54bo2b4o17bo32bo2bo
30b2o5bo2bo12bo2bo421b2ob2o$6b2o18b2o158b2o18b2o539b2o4bo8bobo39b2o37b
o17b2o55bobo54bobo69bobo54bobo55b2o17bo37b2o39bobo8bo4b2o422b2ob2o$26b
2o18b2o158b2o18b2o524bobo7b2o21b2o51bo5bo55b2o17bo37b2o17bo71bo17b2o
37bo17b2o55bo5bo51b2o21b2o7bobo$46b2o18b2o158b2o18b2o494b2o40bo2bo50bo
5bo54bo2bo53bo2bo105bo2bo53bo2bo54bo5bo50bo2bo40b2o93b2o61b2o95b2o3b2o
31b2o3b2o$66b2o18b2o158b2o18b2o473bo43b2o56bo55bobo54bobo107bobo54bobo
55bo56b2o43bo92b2o61b2o95bobobobo12b2o3b2o12bobobobo$86b2o18b2o158b2o
18b2o454b3o21b2o56b2o13bo3bo37b2o17bo37b2o17bo37b2o31b2o37bo17b2o37bo
17b2o37bo3bo13b2o56b2o21b3o255bobo14bobobobo14bobo$106b2o18b2o158b2o
455bo21bo2bo54bo2bo14bo38bo2bo53bo2bo53bo2bo29bo2bo53bo2bo53bo2bo38bo
14bo2bo54bo2bo21bo254bobobobo14bobo14bobobobo$126b2o18b2o618b2o55bobo
54bobo54bobo54bobo31bobo54bobo54bobo54bobo55b2o277b2o3b2o13b2ob2o13b2o
3b2o$146b2o18b2o579b2o56b2o17bo37b2o17bo37b2o17bo37b2o17bo33bo17b2o37b
o17b2o37bo17b2o37bo17b2o56b2o$6b2o158b2o18b2o558bo2bo54bo2bo53bo2bo53b
o2bo53bo2bo67bo2bo53bo2bo53bo2bo53bo2bo54bo2bo421b2ob2o$6b2o18b2o158b
2o18b2o539b2o55bobo54bobo54bobo54bobo69bobo54bobo54bobo54bobo55b2o422b
2ob2o$26b2o18b2o158b2o18b2o558b2o17bo37b2o17bo37b2o17bo37b2o17bo71bo
17b2o37bo17b2o37bo17b2o37bo17b2o$46b2o18b2o158b2o18b2o537bo2bo53bo2bo
53bo2bo53bo2bo105bo2bo53bo2bo53bo2bo53bo2bo136b2o61b2o95b2o3b2o31b2o3b
2o$66b2o18b2o158b2o18b2o517bobo54bobo54bobo54bobo107bobo54bobo54bobo
54bobo136b2o61b2o95bobobobo12b2o3b2o12bobobobo$86b2o18b2o158b2o499b2o
17bo37b2o17bo37b2o17bo37b2o17bo37b2o31b2o37bo17b2o37bo17b2o37bo17b2o
37bo17b2o280bobo14bobobobo14bobo$106b2o658bo2bo53bo2bo53bo2bo53bo2bo
53bo2bo29bo2bo53bo2bo53bo2bo53bo2bo53bo2bo277bobobobo14bobo14bobobobo$
766bobo54bobo54bobo54bobo54bobo31bobo54bobo54bobo54bobo54bobo277b2o3b
2o13b2ob2o13b2o3b2o$748b2o17bo37b2o17bo37b2o17bo37b2o17bo37b2o17bo33bo
17b2o37bo17b2o37bo17b2o37bo17b2o37bo17b2o$747bo2bo53bo2bo53bo2bo53bo2b
o53bo2bo67bo2bo53bo2bo53bo2bo53bo2bo53bo2bo$747bobo54bobo54bobo54bobo
54bobo69bobo54bobo54bobo54bobo54bobo$748bo37b2o17bo37b2o17bo37b2o17bo
37b2o17bo71bo17b2o37bo17b2o37bo17b2o37bo17b2o37bo$785bo2bo53bo2bo53bo
2bo53bo2bo105bo2bo53bo2bo53bo2bo53bo2bo136b2o61b2o95b2o3b2o31b2o3b2o$
785bobo54bobo54bobo54bobo107bobo54bobo54bobo54bobo136b2o61b2o95bobobob
o12b2o3b2o12bobobobo$767b2o17bo37b2o17bo37b2o17bo37b2o17bo37b2o31b2o
37bo17b2o37bo17b2o37bo17b2o37bo17b2o280bobo14bobobobo14bobo$766bo2bo
53bo2bo53bo2bo53bo2bo53bo2bo29bo2bo53bo2bo53bo2bo53bo2bo53bo2bo277bobo
bobo14bobo14bobobobo$766bobo54bobo54bobo54bobo54bobo31bobo54bobo54bobo
54bobo54bobo277b2o3b2o13b2ob2o13b2o3b2o$748b2o17bo37b2o17bo37b2o17bo
37b2o17bo37b2o17bo33bo17b2o37bo17b2o37bo17b2o37bo17b2o37bo17b2o$747bo
2bo53bo2bo53bo2bo53bo2bo53bo2bo67bo2bo53bo2bo53bo2bo53bo2bo53bo2bo$
747bobo54bobo54bobo54bobo54bobo69bobo54bobo54bobo54bobo54bobo$748bo37b
2o17bo37b2o17bo37b2o17bo37b2o17bo71bo17b2o37bo17b2o37bo17b2o37bo17b2o
37bo$785bo2bo53bo2bo53bo2bo53bo2bo105bo2bo53bo2bo53bo2bo53bo2bo136b2o
61b2o95b2o3b2o31b2o3b2o$785bobo54bobo54bobo54bobo107bobo54bobo54bobo
54bobo136b2o61b2o95bobobobo12b2o3b2o12bobobobo$767b2o17bo37b2o17bo37b
2o17bo37b2o17bo37b2o31b2o37bo17b2o37bo17b2o37bo17b2o37bo17b2o280bobo
14bobobobo14bobo$766bo2bo53bo2bo53bo2bo53bo2bo53bo2bo29bo2bo53bo2bo53b
o2bo53bo2bo53bo2bo277bobobobo14bobo14bobobobo$766bobo54bobo54bobo54bob
o54bobo31bobo54bobo54bobo54bobo54bobo277b2o3b2o13b2ob2o13b2o3b2o$748b
2o17bo37b2o17bo37b2o17bo37b2o17bo37b2o17bo33bo17b2o37bo17b2o37bo17b2o
37bo17b2o37bo17b2o$747bo2bo53bo2bo53bo2bo53bo2bo53bo2bo67bo2bo53bo2bo
53bo2bo53bo2bo53bo2bo$747bobo54bobo54bobo54bobo54bobo69bobo54bobo54bob
o54bobo54bobo$748bo37b2o17bo37b2o17bo37b2o17bo37b2o17bo71bo17b2o37bo
17b2o37bo17b2o37bo17b2o37bo$785bo2bo53bo2bo53bo2bo53bo2bo105bo2bo53bo
2bo53bo2bo53bo2bo136b2o61b2o95b2o3b2o31b2o3b2o$785bobo54bobo54bobo54bo
bo107bobo54bobo54bobo54bobo136b2o61b2o95bobobobo12b2o3b2o12bobobobo$
767b2o17bo37b2o17bo37b2o17bo37b2o17bo37b2o31b2o37bo17b2o37bo17b2o37bo
17b2o37bo17b2o280bobo14bobobobo14bobo$766bo2bo53bo2bo53bo2bo53bo2bo53b
o2bo29bo2bo53bo2bo53bo2bo53bo2bo53bo2bo277bobobobo14bobo14bobobobo$
766bobo54bobo54bobo54bobo54bobo31bobo54bobo54bobo54bobo54bobo277b2o3b
2o13b2ob2o13b2o3b2o$748b2o17bo37b2o17bo37b2o17bo37b2o17bo37b2o17bo33bo
17b2o37bo17b2o37bo17b2o37bo17b2o37bo17b2o$747bo2bo53bo2bo53bo2bo53bo2b
o53bo2bo67bo2bo53bo2bo53bo2bo53bo2bo53bo2bo$747bobo54bobo54bobo54bobo
54bobo69bobo54bobo54bobo54bobo54bobo$748bo37b2o17bo37b2o17bo37b2o17bo
37b2o17bo71bo17b2o37bo17b2o37bo17b2o37bo17b2o37bo$785bo2bo53bo2bo53bo
2bo53bo2bo105bo2bo53bo2bo53bo2bo53bo2bo136b2o61b2o95b2o3b2o31b2o3b2o$
785bobo54bobo54bobo54bobo107bobo54bobo54bobo54bobo136b2o61b2o95bobobob
o12b2o3b2o12bobobobo$767b2o17bo37b2o17bo37b2o17bo37b2o17bo109bo17b2o
37bo17b2o37bo17b2o37bo17b2o280bobo14bobobobo14bobo$766bo2bo53bo2bo53bo
2bo53bo2bo143bo2bo53bo2bo53bo2bo53bo2bo277bobobobo14bobo14bobobobo$
766bobo54bobo54bobo54bobo145bobo54bobo54bobo54bobo277b2o3b2o13b2ob2o
13b2o3b2o$748b2o17bo37b2o17bo37b2o17bo37b2o17bo147bo17b2o37bo17b2o37bo
17b2o37bo17b2o$747bo2bo53bo2bo53bo2bo53bo2bo181bo2bo53bo2bo53bo2bo53bo
2bo$747bobo54bobo54bobo54bobo183bobo54bobo54bobo54bobo$748bo37b2o17bo
37b2o17bo37b2o17bo185bo17b2o37bo17b2o37bo17b2o37bo$785bo2bo53bo2bo53bo
2bo219bo2bo53bo2bo53bo2bo136b2o61b2o$785bobo54bobo54bobo221bobo54bobo
54bobo136b2o61b2o$767b2o17bo37b2o17bo37b2o17bo223bo17b2o37bo17b2o37bo
17b2o$766bo2bo53bo2bo53bo2bo257bo2bo53bo2bo53bo2bo$766bobo54bobo54bobo
259bobo54bobo54bobo$748b2o17bo37b2o17bo37b2o17bo261bo17b2o37bo17b2o37b
o17b2o$747bo2bo53bo2bo53bo2bo295bo2bo53bo2bo53bo2bo$747bobo54bobo54bob
o297bobo54bobo54bobo$748bo37b2o17bo56bo299bo56bo17b2o37bo$785bo2bo447b
o2bo136b2o61b2o$785bobo449bobo136b2o61b2o$767b2o17bo451bo17b2o$766bo2b
o485bo2bo$766bobo487bobo$748b2o17bo489bo17b2o$747bo2bo523bo2bo$747bobo
525bobo$748bo527bo$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b
2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o
$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$
1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$
1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$
1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$
1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$
1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$
1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$
1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$
1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$
1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$
1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$
1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$
1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$
1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$
1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$
1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$
1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$
1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$
1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o8$1376b2o61b2o$1376b2o61b2o2$
1407b3o$1387b3o37b3o$1386bo3bo15bo3bo15bo3bo$1385bo5bo14bo3bo14bo5bo$
1384bo3bo3bo11bo7bo11bo3bo3bo$1384bo7bo9b2o4bo4b2o9bo7bo$1376b2o6bobo
3bobo9bo4bobo4bo9bobo3bobo6b2o$1376b2o7b2o3b2o10bo3bo3bo3bo10b2o3b2o7b
2o$1403b2obo3bob2o$1405bo5bo2$1391bo33bo$1390bobo31bobo$1389b2o35b2o$
1391bo11bo9bo11bo$1402bob2o5b2obo$1394bo7bob2o5b2obo7bo$1387b2o4b3o4bo
3bo7bo3bo4b3o4b2o$1387bo6b3o2bo3bo9bo3bo2b3o6bo$1387bo2bo2b3o3bo3bo9bo
3bo3b3o2bo2bo$1388bobo8bo2bo11bo2bo8bobo$1400b2o13b2o!

addendum, weird stuff with loafs:

Code: Select all

x = 94, y = 183, rule = B3/S23
10$86b2o$86b2o$84b2o$84b2o4$62b2o$61bo2bo$61bobo22b2o$62bo23b2o$84b2o$
84b2o4$49b2o11b2o$48bo2bo9bo2bo$25b2o22bobo9bobo22b2o$25b2o23bo11bo23b
2o$27b2o55b2o$27b2o55b2o4$49b2o11b2o$48bo2bo9bo2bo$25b2o22bobo9bobo22b
2o$25b2o23bo11bo23b2o$27b2o55b2o$27b2o55b2o4$49b2o11b2o$48bo2bo9bo2bo$
25b2o22bobo9bobo22b2o$25b2o23bo11bo23b2o$27b2o55b2o$27b2o55b2o4$49b2o
11b2o$48bo2bo9bo2bo$25b2o22bobo9bobo22b2o$25b2o23bo11bo23b2o$27b2o55b
2o$27b2o55b2o4$49b2o11b2o$48bo2bo9bo2bo$25b2o22bobo9bobo22b2o$25b2o23b
o11bo23b2o$27b2o55b2o$27b2o55b2o4$49b2o11b2o$48bo2bo9bo2bo$25b2o22bobo
9bobo22b2o$25b2o23bo11bo23b2o$27b2o55b2o$27b2o55b2o4$49b2o11b2o$48bo2b
o9bo2bo$25b2o22bobo9bobo22b2o$25b2o23bo11bo23b2o$27b2o55b2o$27b2o55b2o
4$49b2o11b2o$48bo2bo9bo2bo$25b2o22bobo9bobo22b2o$25b2o23bo11bo23b2o$
27b2o55b2o$27b2o55b2o4$49b2o11b2o$48bo2bo9bo2bo$25b2o22bobo9bobo22b2o$
25b2o23bo11bo23b2o$27b2o55b2o$27b2o55b2o4$49b2o11b2o$48bo2bo9bo2bo$25b
2o22bobo9bobo22b2o$25b2o23bo11bo23b2o$27b2o55b2o$27b2o55b2o4$49b2o11b
2o$48bo2bo9bo2bo$25b2o22bobo9bobo22b2o$25b2o23bo11bo23b2o$27b2o55b2o$
27b2o55b2o4$49b2o11b2o$48bo2bo9bo2bo$25b2o22bobo9bobo22b2o$25b2o23bo
11bo23b2o$27b2o55b2o$27b2o55b2o4$49b2o11b2o10bo$48bo2bo9bo2bo8b3o$25b
2o22bobo9bobo8bo3bo9b2o$25b2o23bo11bo9b2ob2o9b2o$27b2o55b2o$27b2o55b2o
2$60bo$58bobo$38bo10b2o6bobo$37b3o8bo2bo4bo2bo$25b2o9bo3bo8bobo5bobo$
25b2o9b2ob2o9bo7bobo$27b2o31bo$27b2o2$49b2o9bo$49b2o10b2o$67b2o$66bo2b
o$67b2o$49b2o10b2o$49b2o9bo3$49b2o$49b2o$67b2o$66bo2bo$67b2o$49b2o$49b
2o3$49b2o$49b2o$67b2o$66bo2bo$67b2o$49b2o$49b2o3$49b2o$49b2o$67b2o$66b
o2bo$67b2o!

addendum x2: some fun with the bi-block puffer one:

Code: Select all

x = 204, y = 186, rule = B3/S23:T204,186
7$2o97b2ob2o97b2o$2o97b2ob2o97b2o8$2o97b2ob2o97b2o$2o97b2ob2o97b2o7$
30b3o35b3o61b3o35b3o$2o29bo37bo29b2ob2o29bo37bo29b2o$2o97b2ob2o97b2o$
11b3o35b3o35b3o23b3o35b3o35b3o$12bo10b2ob11ob2o10bo10b2ob11ob2o10bo25b
o10b2ob11ob2o10bo10b2ob11ob2o10bo$23b2ob2obobobob2ob2o21b2ob2obobobob
2ob2o47b2ob2obobobob2ob2o21b2ob2obobobob2ob2o$22bo4bo7bo4bo19bo4bo7bo
4bo45bo4bo7bo4bo19bo4bo7bo4bo$4b2ob11ob2o2bo3bob2ob2obo3bo2b2ob11ob2o
2bo3bob2ob2obo3bo2b2ob11ob2o9b2ob11ob2o2bo3bob2ob2obo3bo2b2ob11ob2o2bo
3bob2ob2obo3bo2b2ob11ob2o$4b2ob2obobobob2ob2o4b2o2bo3bo2b2o4b2ob2obobo
bob2ob2o4b2o2bo3bo2b2o4b2ob2obobobob2ob2o9b2ob2obobobob2ob2o4b2o2bo3bo
2b2o4b2ob2obobobob2ob2o4b2o2bo3bo2b2o4b2ob2obobobob2ob2o$3bo4bo7bo4bo
3b2ob2o3b2ob2o3bo4bo7bo4bo3b2ob2o3b2ob2o3bo4bo7bo4bo7bo4bo7bo4bo3b2ob
2o3b2ob2o3bo4bo7bo4bo3b2ob2o3b2ob2o3bo4bo7bo4bo$3obo3bob2ob2obo3bo21bo
3bob2ob2obo3bo21bo3bob2ob2obo3bob3ob3obo3bob2ob2obo3bo21bo3bob2ob2obo
3bo21bo3bob2ob2obo3bob3o$2o4b2o2bo3bo2b2o25b2o2bo3bo2b2o25b2o2bo3bo2b
2o4b2ob2o4b2o2bo3bo2b2o25b2o2bo3bo2b2o25b2o2bo3bo2b2o4b2o$6b2ob2o3b2ob
2o25b2ob2o3b2ob2o25b2ob2o3b2ob2o13b2ob2o3b2ob2o25b2ob2o3b2ob2o25b2ob2o
3b2ob2o3$23b2obo9bob2o21b2obo9bob2o47b2obo9bob2o21b2obo9bob2o$23b4o9b
4o21b4o9b4o47b4o9b4o21b4o9b4o$22b5o9b5o19b5o9b5o45b5o9b5o19b5o9b5o$25b
2o9b2o25b2o9b2o51b2o9b2o25b2o9b2o3$23bo15bo21bo15bo47bo15bo21bo15bo$
23b2o13b2o8b2ob2o8b2o13b2o47b2o13b2o8b2ob2o8b2o13b2o$23bo15bo8b2ob2o8b
o15bo47bo15bo8b2ob2o8bo15bo$23bobo11bobo21bobo11bobo47bobo11bobo21bobo
11bobo$24b2o11b2o23b2o11b2o49b2o11b2o23b2o11b2o6$48b2ob2o97b2ob2o$48b
2ob2o97b2ob2o8$48b2ob2o97b2ob2o$48b2ob2o97b2ob2o8$48b2ob2o97b2ob2o$48b
2ob2o97b2ob2o8$48b2ob2o97b2ob2o$48b2ob2o97b2ob2o8$48b2ob2o97b2ob2o$48b
2ob2o97b2ob2o8$48b2ob2o97b2ob2o$48b2ob2o97b2ob2o8$48b2ob2o97b2ob2o$48b
2ob2o97b2ob2o8$48b2ob2o97b2ob2o$48b2ob2o97b2ob2o8$48b2ob2o97b2ob2o$48b
2ob2o97b2ob2o8$48b2ob2o97b2ob2o$48b2ob2o97b2ob2o6$82bo37bo$17b3o61b3o
35b3o61b3o$18bo29b2ob2o28b3o35b3o28b2ob2o29bo$48b2ob2o10bo37bo37bo10b
2ob2o$o35b3o23b3o13b9o13b3o13b9o13b3o23b3o35b2o$10b2ob11ob2o10bo24b3o
9b2obo2bobobo2bob2o9b3o9b2obo2bobobo2bob2o9b3o24bo10b2ob11ob2o10bo$10b
2ob2obobobob2ob2o46bobo4bobobo4bobo19bobo4bobobo4bobo46b2ob2obobobob2o
b2o$9bo4bo7bo4bo31b9o5bobo2bobobobobo2bobo5b9o5bobo2bobobobobo2bobo5b
9o31bo4bo7bo4bo$5ob2o2bo3bob2ob2obo3bo2b2ob11ob2o9b2obo2bobobo2bob3o5b
ob2ob2obo5b3obo2bobobo2bob3o5bob2ob2obo5b3obo2bobobo2bob2o9b2ob11ob2o
2bo3bob2ob2obo3bo2b2ob6o$bob2ob2o4b2o2bo3bo2b2o4b2ob2obobobob2ob2o8bob
o4bobobo4bobo2b2o11b2o2bobo4bobobo4bobo2b2o11b2o2bobo4bobobo4bobo8b2ob
2obobobob2ob2o4b2o2bo3bo2b2o4b2ob2obobo$3bo4bo3b2ob2o3b2ob2o3bo4bo7bo
4bo5b3obo2bobobobobo2bobo3b5o3b5o3bobo2bobobobobo2bobo3b5o3b5o3bobo2bo
bobobobo2bob3o5bo4bo7bo4bo3b2ob2o3b2ob2o3bo4bo$2obo3bo21bo3bob2ob2obo
3bob3obob2o4bob2ob2obo29bob2ob2obo29bob2ob2obo4b2obob3obo3bob2ob2obo3b
o21bo3bob2o$bo2b2o25b2o2bo3bo2b2o4b2obobo2b2o11b2o23b2o11b2o23b2o11b2o
2bobob2o4b2o2bo3bo2b2o25b2o2bo$b2ob2o25b2ob2o3b2ob2o13b5o3b5o25b5o3b5o
25b5o3b5o13b2ob2o3b2ob2o25b2ob2o3$10b2obo9bob2o47bo2bo9bo2bo21bo2bo9bo
2bo47b2obo9bob2o$10b4o9b4o51bo7bo29bo7bo51b4o9b4o$9b5o9b5o45bo4bo7bo4b
o19bo4bo7bo4bo45b5o9b5o$12b2o9b2o49bo2bo9bo2bo21bo2bo9bo2bo49b2o9b2o3$
10bo15bo47b2o13b2o21b2o13b2o47bo15bo$2o8b2o13b2o46b3o13b3o7b2ob2o7b3o
13b3o46b2o13b2o8b2o$2o8bo15bo46b2o15b2o7b2ob2o7b2o15b2o46bo15bo8b2o$
10bobo11bobo47bobo11bobo21bobo11bobo47bobo11bobo$11b2o11b2o49b2o11b2o
23b2o11b2o49b2o11b2o6$2o97b2ob2o97b2o$2o97b2ob2o97b2o8$2o97b2ob2o97b2o
$2o97b2ob2o97b2o!

HartmutHolzwart · Post by **HartmutHolzwart** » September 4th, 2026, 2:44 am

This link from 2017:

https://conwaylife.com/forums/viewtopi ... 325#p53325

And the more recent discussion from February 2025

https://conwaylife.com/forums/viewtop ... #p203378

We’d need to produce a clean pi wave based glider rake. I imagine a short, very wide strip of pis, that send out coordinated glider streams producing upward moving *WSS streams which some support the strip at the side. I hope the description of the architecture blueprint is relatively clear. How to actually implement it, I don’t have a clue-

We’re missing an engineered spaceship that is short and wide instead of long and thin. So it would be a nice new mechanism if it existed-

yyh_baboon · Post by **yyh_baboon** » September 4th, 2026, 4:54 am

Have anyone found some way to combine pis into still life puffers? I think this may make the construction of the spaceship easier(you can use still lifes to add more layers of functional pis)

HartmutHolzwart · Post by **HartmutHolzwart** » September 4th, 2026, 5:22 am

See the discussion and David Bell’s patterns

Gustone · Post by **Gustone** » September 4th, 2026, 9:44 am

HartmutHolzwart wrote: September 4th, 2026, 2:44 amWe’re missing an engineered spaceship that is short and wide instead of long and thin

Shield bug, silk moth, geminoids...

LuveelVoom · Post by **LuveelVoom** » September 4th, 2026, 10:36 am

HartmutHolzwart wrote: September 4th, 2026, 2:44 am
And the more recent discussion from February 2025

https://conwaylife.com/forums/viewtop ... #p203378

This second link is very interesting: it has several glider emitting streams based on a p60 sparky supported pi (found by PHPBB12345). Here are dbell's comments on it and a constructed ship:

dbell wrote: February 7th, 2025, 8:00 pm
I am hoping that maybe these irregular streams would help to create a PI ship since information can be encoded by the spacing of the LWSS stream. If a couple of the streams are used to create forward and backward gliders with adjustable timings, then the reactions of those gliders could be used to build almost all of the block and boat tracks that are necessary. The LWSS streams can be made arbitrarily long without adding any new PIs that need supporting, so the recipes could be as slow as needed.

Of course, a 3c/10 helix would still be necessary to support the top PIs of the LWSS streams, but there are only a few of those. The helix itself can be constructed as just described.

PS: I have no idea if this is new, so for the moment I am still posting to this thread.

Edit:

I think my idea is not feasible. I forgot that the front of the reaction is moving, so any output gliders couldn't react with previous ones.
The solution for this might be to create a downward spaceship stream which could do the slow salvos. But it's all too complicated. Sorry.

HartmutHolzwart · September 4th, 2026, 10:45 am

Gustone wrote: September 4th, 2026, 9:44 am
HartmutHolzwart wrote: September 4th, 2026, 2:44 amWe’re missing an engineered spaceship that is short and wide instead of long and thin
Shield bug, silk moth, geminoids...

Shield bug is not what I’d call “short”. I really wanted to say “has a horizontal spine although moving vertical”.

TheWayOfTheCon · Post by **TheWayOfTheCon** » September 4th, 2026, 12:12 pm

I'll try to use LLS to find configurations of still lifes that pis can climb up.

One problem I'm having with the existence of a pi ship, though, is that there's inevitably going to be some topmost pi-heptominoes that can't be supported by normal wave stabilization (adding more stabilization above nullifies the point). How will we deal with that?

NNlk05 · Post by **NNlk05** » September 4th, 2026, 12:13 pm

TheWayOfTheCon wrote: September 4th, 2026, 12:12 pm One problem I'm having with the existence of a pi ship, though, is that there's inevitably going to be some topmost pi-heptominoes that can't be supported by normal wave stabilization (adding more stabilization above nullifies the point). How will we deal with that?

Treat it like a crawler ship. Send a helix of XWSSes up and use gliders from that to support the pies.

MDA · Post by **MDA** » September 4th, 2026, 2:05 pm

For the piship design, I was thinking about something like this:

Code: Select all

x = 755, y = 160, rule = B3/S23
14bo725bo$15bo723bo$13b3o723b3o15$22bo709bo$20bobo709bobo$21b2o709b2o
14$29bo695bo$30bo693bo$28b3o693b3o15$37bo679bo$35bobo679bobo$36b2o679b
2o14$44bo665bo$45bo663bo$43b3o663b3o15$52bo649bo$50bobo649bobo$51b2o
649b2o14$59bo635bo$60bo633bo$58b3o633b3o15$67bo619bo$65bobo619bobo$66b
2o619b2o14$74bo605bo$75bo603bo$73b3o603b3o$88b3o15b3o15b3o15b3o15b3o
15b3o15b3o15b3o15b3o15b3o15b3o15b3o15b3o15b3o15b3o15b3o15b3o15b3o15b3o
15b3o15b3o15b3o15b3o15b3o15b3o15b3o15b3o15b3o15b3o15b3o15b3o15b3o15b3o
$88bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15b
obo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo
15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo$88bobo15b
obo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo
15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bo
bo15bobo15bobo15bobo15bobo15bobo15bobo15bobo15bobo8$3o749b3o$2bo5b2o
735b2o5bo$bo5bobo735bobo5bo$9bo5b3o719b3o5bo$17bo5b2o705b2o5bo$16bo5bo
bo705bobo5bo$24bo5b3o689b3o5bo$32bo5b2o675b2o5bo$31bo5bobo675bobo5bo$
39bo5b3o659b3o5bo$47bo5b2o645b2o5bo$46bo5bobo645bobo5bo$54bo5b3o629b3o
5bo$62bo629bo$61bo631bo!

The idea is that the blocks generated by the forward gliders can be used to start slow salvo recipes for XWSS salvoes and forward gliders. The forward gliders are reused and the XWSS salvoes are used to push a small pattern forward (like a slide gun) which emits backwards gliders to power the ship. This should be mirrored on the other side.

dbell · Post by **dbell** » September 4th, 2026, 11:46 pm

This is a slight advancement from my previous post of a year and a half ago. (I just took my original object and added a rake to act on the blocks to produce an irregular output stream.)

Code: Select all

#C A pseudo-random rake based on PI crawlers.
#C This uses some period 36 c/2 puffers to create trails on which five
#C period 60 PI crawlers climb on.  A loop consisting of LWSSes,
#C gliders, and boats is maintained by the PI crawlers.  Blocks are
#C released when a LWSS fails to be constructed which are then used to
#C suppress gliders from another rake.  The result is an irregular
#C glider stream having a pattern which is encoded by the gaps in the
#C circulating loop.
#C David I. Bell, 5 September 2026
x = 629, y = 721, rule = B3/S23
276b3o3b3o$276bobbobobbo$276bo7bo$276bo7bo$277bobobobo$189b3o3b3o79bob
obobo$188bobbo3bobbo79bo3bo$191bo3bo81b3ob3o$191bo3bo84bo10bo5b3o$191b
o3bo80b9o5b3o3bobbo$275bo9bo3boobo6bo$189b3o3b3o76b12o3bobo7bo$190bo5b
o76bo13bo3bo7bo$174b3o5bo7b7o75b17o4boobobo$173bobbo4b3o5bo7bo73bo18bo
3bo$176bo3boobbo3b11o71b15obobbooboboo$172bo3bo3boobbobbo11bo58bo10bo
16bo3boboboo$176bo3boobb17o56b3o8b13obo7bo$173bobo3bobobo17bo55boboo6b
o14bo$179b3obobob16o55b3o5b11obo$179bobboobo17bo54boo5bo12bo$189bob14o
10bo47b10obo$182b3o4bo15bo8b3o44boo11bo$193bob12o7boboo38bo9b3obo$193b
o13bo7b3o37b3o3b5o4bo$197bob9o7boo37boobo8bo$197bo11boo43b3o5bo$201bob
6obboo41b3o3b4o$201bo9bo5bo36b3o3bo3bo$205bobo8b3o36boo5bobbo$205bo5bo
3boobo44boo50b3o3b3o$208bobbo3b3o97bobbobobbo$209boo4b3o97bo7bo$215b3o
97bo7bo$216boo98bobobobo$273bo42bobobobo$272b3o42bo3bo$271boobo41b3ob
3o$271b3o45bo10bo5b3o$271b3o41b9o5b3o3bobbo$200bo71boo40bo9bo3boobo6bo
$199b3o48b3o60b12o3bobo7bo$198boobo10bo36bobbo11boo46bo13bo3bo7bo$198b
3o8booboo38bo10bobbo44b17o4boobobo$198b3o8bobbo35bo3bo10bobbo43bo18bo
3bo$199boo7bobbo36bo3bo10bo45b15obobbooboboo$209bo11b3o28bobboo6bo33bo
10bo16bo3boboboo$212bo7bobbo25bobobb3obobo3bobo29b3o8b13obo7bo$209bobb
o3bo6bo30bobbobo5bo30boboo6bo14bo$209bobbo4bobo3bo31b3ob3o35b3o5b11obo
$209bo3boboobbo3bo32boobobbo34boo5bo12bo$210booboboo6bo34boo3bo38b10ob
o$220bobo40bo36boo11bo$212bo49boo31bo9b3obo$209bobbo81b3o3b5o4bo$210b
oo38bo42boobo8bo$249b3o41b3o$248boobo41b3o$248b3o42b3o$249boo43boo6bo$
302bo5$312bo$301bo9b3o$299boo4boo3boobo$256boo43bob4o3b3o$256boobb3o
36bo3boo5b3o$211b3o6boo38bobo36bobo9boo$212boboo3bobbo26bobo8bobbo25b
3o10bo$209b3o9bo27boo37bobbo4boo4bo$208bo5bob5o29bo40bo4bo4bo$209bo4bo
boobo67bo3bo4b4obbo$213b3obo10bo36b3o19bo3bo7b3o$214bo12b3o35bobbo22bo
9bo225bo5bo$212bobo12boboo34bo22bobo235b3o3b3o$213bo14b3o34bo3bo31boo
222boobo3boboo$228boo35bo3bo31boo222b3o5b3o$265bo260boo5boo$266bobo
257boo5boo$527bobobobo$$512bo14b7o$289bo221b3o4b3o5bo7bo$288b3o219boob
o4bobbo4b9o$287boobo219b3o5bobbo3bo10bo$287b3o220b3o5booboob13o$288boo
221boo5bobobbo14bo66bo5bo$221bo293b3o4b17o65b3o3b3o$220b3o296boobo17bo
62boobo3boboo$219bob4obo293boo3bob14o62b3o5b3o$212b3o4bo3bobbo288boo3b
o4bo16bo8b3o50boo5boo$212bobbo4bo3bobo69bo3boo217bo9bob12o7bobbo50boo
5boo$212bo77bobo4boobbo227bo14bo8bo51bobobobo$212bo3bo73boo5bo4boo229b
ob10o8bo$212bo78bo11bo229bo16bobo52b7o14bo$213bobo24bobo54bo4boo233bob
10o55bo7bo5b3o4b3o$240boo55bo239bo8b3o55b9o4bobbo4boboo$241bo56b3o28bo
5bo205bob4o6b3o46bo10bo3bobbo5b3o$298b3o27b3o3b3o204bo3b4o4bobbo45b13o
booboo5b3o$233b3o92bobooboobo208b4o4bo46bo14bobbobo5boo$235bo93b3ob3o
217bo3bo42b17o4b3o$234bo94b3ob3o217bo3bo40bo17boboo$304b3o246bo44b14ob
o3boo$304bobbo22bo3bo219bobo28b3o8bo16bo4bo3boo$223boo79bo23b3o3b3o
209bo38bobbo7b12obo9bo$214b3o6b3o78bo3bo23bo17bo194boboo36bo8bo14bo$
213bobbo5bobbo78bo3bo19b9o5b3o4b3o193bobo37bo8b10obo$216bo6b3o78bo22bo
9bo4bobbobboobo193bobbo37bobo16bo$212bo3bo6boo80bobo19b11o3bo6b3o198bo
40b10obo$212bo3bo108bo15b3obbob3o185b3o6bo3bo40b3o8bo$216bo108b18o3bo
bboo185bobbo3boo5boo31b3o6b4obo$95b3o3b3o109bobo107bo18bo3bo189bo5bo4b
o4bo29bobbo4b4o3bo$94bobbo3bobbo218b15obobboboboo188bo3bobo3bobo3bo32b
o4b4o$97bo3bo219bo17bobb3obo189bo5bo4bo4bo28bo3bo$97bo3bo207b3o9b13obo
201bobo3boo5boo7bo21bo3bo$97bo3bo136bo69bobbo7bo15bo6bo202bo3bo8b3o24b
o$237bobo71bo7b11obo10bo202bo3bo7boobo21bobo$95b3o3b3o133boo72bo6bo12b
o214b3o8b3o$96bo5bo205bobo6b9obo229b3o$96b7o7bo5b3o162bobo30b3o10bo
229b3o$95bo7bo5b3o4bobbo161boo30boob6obo234boo$94b11o3bobboo3bo165bo
24b3o3boobbo5bo$93bo11bobbobboo3bo3bo186bobbo8bo280b3o$92b17obboo3bo
190bo11bo269bo9bobbo$17b3o3b3o65bo17bobobo3bobo187bo3bobbobo272b3o3bo
6bo$16bobbo3bobbo63b16obobob3o193bo3bo3boo271bobboobbobbo3bo$19bo3bo
65bo17boboobbo193bo284bo9bo$19bo3bo53bo10b14obo204bobo268bo9boboo6bobo
$19bo3bo52b3o8bo15bo4b3o467b3o9boo$75boobo7b12obo214b3o261boboo3boo3b
oo$17b3o3b3o49b3o7bo13bo214bobboo260b3obbo5boo$18bo5bo51boo7b9obo221b
oo260b3o3b4obbo$bb3o5bo7b7o57boo11bo217booboo236bo24b3o4boboboo$bobbo
4b3o5bo7bo54boobb6obo146bo74b3o8b3o226boboo22boo9bo$4bo3boobbo3b11o48b
o5bo9bo145bobo73boo3boo4bobbo223bob3o34boo$o3bo3boobbobbo11bo46b3o8bob
o149boo72boo5b3o3bo225boboo36boo$4bo3boobb17o45boboo3bo5bo221bobbobbo
bbobbobbo3bo222boo37boo$bobo3bobobo17bo45b3obbo3bo224bobobbobobbo4bo
226bo$7b3obobob16o44b3o225bo5bobbobbobbobbo3bobo$7bobboobo17bo43b3o3bo
bo218b3o6boo5b3o46bo5bo$17bob14o10bo31boo3boboo217boobo8booboo48b3o3b
3o$10b3o4bo15bo8b3o37bobo216b3o9bobobo47boobo3boboo$21bob12o7boboo37bo
217b3o61b3o5b3o201b3o$21bo13bo7b3o255b3o10b3o49boo5boo201bobbo$25bob9o
7boo257boo62boo5boo189b3o12bo$25bo11boo328bobobobo189bobbo12bo$29bob6o
bboo51bo179bobo291bo9bobo$29bo9bo5bo45b3o178boo78bo14b7o192bo$33bobo8b
3o44boboo178bo77b3o4b3o5bo7bo188bobo$33bo5bo3boobo45b3o255boobo4bobbo
4b9o$36bo3bobb3o46b3o255b3o5bobbo3bo10bo$43b3o46boo144bo111b3o5booboob
13o209bobboo$37bobo3b3o23b3o165bobo111boo5bobobbo14bo66bo5bo127bo5b3ob
oo$37boobo3boo23bobbo164boo116b3o4b17o65b3o3b3o103bobbobo17bobo4boo3b
oo$36bobo30bo13boo274boobo17bo62boobo3boboo102boo3bo17boo12bo$37bo31bo
3bo7bo278boo3bob14o62b3o5b3o102bo4bo29boo$69bo3bo10bo270boo3bo4bo16bo
8b3o50boo5boo104b3o26bobo$38bo30bo14bo222b3o49bo9bob12o7bobbo50boo5boo
103bo29bobbo$37b3o30bo3boboo3bo224bobboo58bo14bo8bo51bobobobo135bobo$
28bo7b5o35boo4bobo221boobboo61bob10o8bo165boo27bo$27b3o5boo3boo30b3obb
oo4boo226boo60bo16bobo52b7o14bo$26boobo4b3o3b3o30boo5bo229bobo64bob10o
55bo7bo5b3o4b3o82bo43bo$26b3o6boo3boo33bobbobobo227boo65bo8b3o55b9o4bo
bbo4boboo80b3o41b3o$26b3o7b5o36bobbobbo297bob4o6b3o46bo10bo3bobbo5b3o
80boboo6bo32boobo$27boo8b3o37bo5bo297bo3b4o4bobbo45b13obooboo5b3o81b3o
6boo31b3o$38bo10b3o29b3o301boobbo3bo46bo14bobbobo5boo82b3o5bobo31b3o$
48bobbo73bo7bo39bo7bo205boo4bo3bo42b17o4b3o86boo40b3o$51bo72b3o5b3o37b
3o5b3o204boobobbo3bo40bo17boboo98boo7boo24boo$47bo3bo71bobboo3boobbo
35bobboo3boobbo112b3o87bo3bobbo44b14obo3boo99boo8boo$47bo3bo71bo3bo3bo
3bo35bo3bo3bo3bo54bo56bobbo86bo8bobo28b3o8bo16bo4bo3boo93bobbo6bo$51bo
72booboobooboo37booboobooboo54bobo58bo87boo37bobbo7b12obo9bo96b6o$48bo
bo73boobo3boboo37boobo3boboo54boo59bo126bo8bo14bo106boobbo$126bo5bo41b
o5bo114bobo127bo8b10obo108b3oboo$127booboo43booboo83bobo160bobo16bo
108boo$122boobbo5bobboo33boobbo5bobboo78boo165b10obo$122boobbo5bobboo
33boobbo5bobboo79bo111b3o51b3o8bo$376bobbo43b3o6b4obo114bo$126bobobobo
41bobobobo195bo45bobbo4b4o3bo113b3o$126boo3boo41boo3boo120bo3bobo68bo
3bo44bo3bobboo116boobo20boo$51bo249boo4bo68bo44bo3bo4boo118b3o20bobo$
50b3o248bobbo72bobo19bo21bo3bobboboo118b3o21bo$45bo3boobo11bo72bo31bo
133boobo91b3o24bobbo3bo117b3o$44boo3b3o11b3o6bo48bo14b3o29b3o14bo118bo
bo78boo10boobo21bobo8bo117boo$36bo5bobbo4boo10boobo5bo48b3o3boo3boobb
oobbo27bobboobboo3boo3b3o197bobbo9b3o31boo$37bo3b3o18b3o5boobo45boobo
3boo3boobboob3o25b3oboobboo3boo3boboo198b3o8b3o$36bo26boo6boo47b3o11b
3oboo27boob3o11b3o125bo73b3o8b3o$72bo48boo12boboo29boobo12boo125b3o72b
oo5boob4o30b3o$122bo13boo31boo13bo53bo72boboo70boo4boo3boo31bo3bo$117b
oo69boo47bobo62boo8b3o70bo3bo6bo31bo5bo5b3o$237boo62boo9b3o74bobo3bo
32bo5bo4bobbo$312boo74boo5bo32bo5bo7bo$120bobo61bobo107bo9bo82boobb3o
35bo3bo4bo3bo$119boo6bo51bo6boo105boo8b3o80boo42b3o9bo$119bo4booboo9bo
29bo9booboo4bo105bobo6b4o81boo30bo19bobo$119bo6boboo7bobo27bobo7boobo
6bo113boo115b3o$119bo4boobo9bobo27bobo9boboo4bo112b3o115boboo$118bobo
4boobo3bo4bobo27bobo4bo3boboo4bobo113bo116b3o152boo$119bobo5boobb3o4bo
29bo4b3obboo5bobo119bo111b3o151bobo$71bo48bo6b3o8bo29bo8b3o6bo120bo
111b3o152bo$34b3o3b3o26booboo4b3o48bo47bo241boo$34bobbo31booboo3bobbo
173bobo28bo24bo$34bo29b3o13bo173boo28boo23b3o$34bo3bo25bo5booboobo3bo
174bo28bobo21boobo$34bo3bo26bo4booboo5bo227b3o$34bo37bo4bobo228b3o$35b
obo16bo183bo69b3o$55boo180bobo69boo$54boo181boo$417b3o$276bo139bobbo5b
o$55b3o217boo120bo6b3o12bo3boobbo158b3o5b3o$55bo219bobo118bobo4bobbo
12bo5bobo5boo151bobbo3bobbo$56bo83boo23boo231bo7bo9bobo8boo3bo153boboo
3boobo$140boo23boo229b3o7bo26boo$76b3o324bobo168boo$76bobbo493bobo11b
3o3b3o$76bo497bo8boob3obobob3oboo$76bo3bo504boo3bobo3boo$76bo3bo186bo
319b3o3b3o$70boo4bo189boo319b3o3b3o$72bo4bobo186bobo3$238bo$237bobo$
237boo343b3o3boo3boo$54boo342bo29bo153bobbobboo3boo3b3o$54bobo188bobo
10bo131bo6bobo28bo5bo146bobboo12bobbo$55bo189boo10boo130b3o4booboo27bo
4b3o145bobbobo10bobboo$246bo10bobo129boboo3bobbo3boo27boobo145b3ob3o8b
4o$140boo23boo223b3obbooboo4boo26b3o147boobboo6bobboo$140boo23boo223b
3o3bobo4bo28b3o153bo4bo5bo$274bo7bo107boo5bo34b3o139boo5boo6bo3bob6o$
273b3o5b3o130bo18boo138bobo5bo4b3o5b5oboobbo$272boobbo3bobboo129bobo
157bo6boo3boo12bo$272bobbo5bobbo129boo166bo3bo14bobbo$249bo21boo3boob
oo3boo316bo$248boo22bobobooboobobo$248bobo22bo9bo128boo187bo$274bobbob
obbo130boo185bobo$412bo187bobo$238bo32boobboo3boobboo$237bobo31boo11b
oo106bo$237boo152b3o$54boo219bo5bo108boobo$54bobo218boo3boo108b3o207bo
bo$55bo334b3o3bobo201bobo$34bo7bo227bo119b3o3bobo202bo$33b3o5b3o96boo
23boo102b3o14bo104boo5bo180boo$32boobo5boboo95boo23boo74boo25boobbo12b
3o291boo$33boobo3boboo197boo24bobb3obboo3boobboobbo285boo$31boboo7boob
o221bobo5boo3boo5boo284bobo$30bobobbobobobobbobo219bobbo19bo284bo$30bo
bo3booboo3bobo220boo18b3o$31b3obo5bob3o221boo145boo$32b3o7b3o368bobo$
32boo9boo369bo$32bo11bo227bo$31boo11boo224bobbo$31boo11boo192bo31bobo
15bo$237bobo47bobo$35boo3boo195boo47bo3bo$35boo3boo4bo7boo97bo132bo3bo
$30bo14b3o6bobo95b3o132bobo$29b3o12bobboo6bo95booboo132bo$28bobboo11b
3o103boo3boo$140boo9booboo9boo412boo$43bo96boo23boo74boo23boo311boo$
33bo8bobo196boo23boo306boo$26boobboboobo12bobo522bobo$27bo6bo7bobbobbo
bo523bo36b3o5b3o$28bobbo11boo3bo94boo5bo5bo5boo447bobbo3bobbo$29bo113b
oo5bo5bo5boo250boo195boboo3boobo$29boo117b4o3b4o254bobo$30bo115b4obo3b
ob4o253bo$29bobobbobo10bo97bobobooboboboobobo450b3o3b3o$34bobo9bobo95b
obobbobbobobbobbobo263b3o5b3o171boob3obobob3oboo$145bo3boo5boo3bo76bo
187bobbo3bobbo173boo3bobo3boo$34b3o7bo5bo98boo5boo79bobo186bo9bo175b3o
3b3o$35boo4bob3oboboo87bo9bo9bo9bo68boo185boobbobobobobboo173b3o3b3o$
34bo7bo11boo82bo10bo7bo10bo255boobbobobobobboo$37bo4bo11bobo92bo7bo
265bo5bo3bo5bo$36bo4boo12bo78boo35boo251bobbobo3bobobbo$36boobboo91b3o
7bo19bo7b3o251boo9boo$134bo7b3o17b3o7bo253bo9bo142boo$135bo5bobbo4boo
5boo4bobbo5bo69boo23boo311boo26b3o3boo3boo$139boo3bo4boo5boo4bo3boo73b
oo23boo156boo11boo135boo31bobbobboo3boo3b3o$139b3obo19bob4o255boo11boo
134bobo30bo3bo12bobbo$140b3o21b4oboo403bo31boboboo10bo3bo$167bobbo257b
oo3boo172bobboo10b4o$170bo243boo12boo3boo175b3o9boo$170bo242bobo6b3o
196bo$167bobo244bo7bobbo12b3o169bo10bo$422boboo12bobbo168bobbo7bo$438b
obbo168bobo8boo$238bo372bo9b3obobo$49boo186bobo185b3o5boboo3bobbo179b
oobo$49boo186boo180boo4boo7b3o6bo179bobbo$54boo363b3obb4o10boobbo182b
oo$54bobo364bo19bo$55bo383boo$$439bo139boo23boo11boo$241boo23boo165boo
3bobo138boo23boo6boo$241boo23boo153b3o9b3obbobo133boo$421b3o149bobo$
420b5o8boobo137bo38bo$9bo7bo401boo3boobo6bo4boobbo170bobboo$8b3o5b3o
395boo11bobo6bo6bo169bo$7boobo5boboo393bobo11bo3boo3bo$8boobo3boboo
395bo13bo4bo5boo$6boboo7boobo407bo4bo$5bobobbobobobobbobo407bobbo$5bob
o3booboo3bobo$6b3obo5bob3o28boo$7b3o7b3o29boo$7boo9boo34boo$7bo11bo34b
obo$6boo11boo34bo$6boo11boo$579boo23boo$10boo3boo224boo23boo311boo23b
oo$10boo3boo4bo219boo23boo306boo$5bo14b3o550bobo$4b3o13boboo144b3o248b
oo153bo$4boboo13b3o143bobbo248boo$6boo13b3o146bo243boo$4boo14b4o146bo
242bobo$4boobbo11bobbo143bobo244bo$3bo4bo14boo$4bobobbo11bobo$4boo3boo
10b3o214bo$11bo37boo186bobo$9boo4bo33boo186boo$11b6o6boo29boo$b3o7bobo
bobo4bobbo28bobo$4bo9bobbo3bo33bo112b3o280b3o5b3o$5bo10bo4bobbo142bobb
o280bobbo3bobbo$bbobo17bo147bo280bo9bo117boo23boo$170bo70boo23boo181b
oobbobobobobboo115boo23boo$167bobo71boo23boo181boobbobobobobboo110boo$
448bo5bo3bo5bo108bobo$419boo28bobbobo3bobobbo110bo$419boo29boo9boo$
414boo35bo9bo$413bobo$414bo34boo11boo$449boo11boo$168b3o$167bobbo67bo
214boo3boo$24boo23boo119bo66bobo213boo3boo$24boo23boo119bo66boo208b3o$
54boo111bobo277bobbo12b3o$54bobo390bo15bobbo$55bo391bobbo11bo$447bobbo
11bo$446bobo12b6o112boo23boo$241boo23boo178bo3bo10bobo115boo23boo$241b
oo23boo178boo16boo108boo$447boo10boo3boo107bobo$419boo38boo113bo$419b
oo38bo$414boo29bo7b3oboo$413bobo29boo5bo3bobobo7boo$414bo30b3o4bo3bobo
bo4b3o$446b3o4boo10b3o$465boo$$24boo23boo$24boo23boo$54boo$54bobo$55bo
$$579boo23boo$241boo23boo311boo23boo$241boo23boo306boo$573bobo$419boo
23boo128bo$419boo23boo$414boo$413bobo$414bo$$168b3o$167bobbo67bo$24boo
23boo119bo66bobo$24boo23boo119bo66boo$54boo111bobo$54bobo$55bo$$579boo
23boo$241boo23boo311boo23boo$241boo23boo306boo$573bobo$419boo23boo128b
o$419boo23boo$414boo$413bobo$414bo3$238bo$24boo23boo186bobo$24boo23boo
186boo$54boo$54bobo$55bo$$579boo23boo$241boo23boo311boo23boo$241boo23b
oo306boo$573bobo$419boo23boo128bo$419boo23boo$414boo$413bobo$414bo4$
24boo23boo$24boo23boo$54boo$54bobo$55bo$$579boo23boo$241boo23boo311boo
23boo$241boo23boo306boo$573bobo$168b3o248boo23boo128bo$167bobbo248boo
23boo$170bo243boo$170bo242bobo$167bobo244bo4$24boo23boo$24boo23boo$54b
oo$54bobo$55bo112b3o$167bobbo$170bo408boo23boo$170bo70boo23boo311boo
23boo$167bobo71boo23boo306boo$573bobo$419boo23boo128bo$419boo23boo$
414boo$413bobo$414bo3$238bo$24boo23boo186bobo$24boo23boo186boo$54boo$
54bobo$55bo$$579boo23boo$241boo23boo311boo23boo$241boo23boo306boo$573b
obo$419boo23boo128bo$419boo23boo$414boo$413bobo$414bo3$238bo$24boo23b
oo186bobo$24boo23boo186boo$54boo$54bobo$55bo112b3o$167bobbo$170bo408b
oo23boo$170bo70boo23boo311boo23boo$167bobo71boo23boo306boo$573bobo$
419boo23boo128bo$419boo23boo$414boo$413bobo$414bo3$238bo$24boo23boo
186bobo$24boo23boo186boo$54boo$54bobo$55bo$$579boo23boo$241boo23boo
311boo23boo$241boo23boo306boo$573bobo$168b3o248boo23boo128bo$167bobbo
248boo23boo$170bo243boo$170bo242bobo$167bobo244bo3$238bo$24boo23boo
186bobo$24boo23boo186boo$54boo$54bobo$55bo112b3o$167bobbo$170bo408boo
23boo$170bo70boo23boo311boo23boo$167bobo71boo23boo306boo$573bobo$419b
oo23boo128bo$419boo23boo$414boo$413bobo$414bo$$168b3o$167bobbo83bo$24b
oo23boo119bo82b3o$24boo23boo119bo82b3o$54boo111bobo$54bobo193b9o$55bo
190boobobbobobobboboo$245bobo4bobobo4bobo$245bobobbobobobobobbobo315b
oo23boo$241boo7bobooboobo7boo311boo23boo$241boo4boo11boo4boo306boo$
248b5o3b5o312bobo$168b3o248boo23boo128bo$167bobbo248boo23boo$170bo243b
oo$170bo75bo15bo150bobo$167bobo76bobo11bobo151bo$248bo11bo$246bo15bo$
245boob4o5b4oboo$24boo23boo195bob3obo3bob3obo$24boo23boo198bo3bobo3bo$
54boo194bobbobobbo$54bobo194bo5bo$55bo112b3o80bobobobo$167bobbo$170bo
408boo23boo$170bo79bo7bo320boo23boo$167bobo79bo9bo314boo$250bo7bo314bo
bo$419boo23boo128bo$419boo23boo$414boo$413bobo$414bo$$168b3o$167bobbo$
24boo23boo119bo$24boo23boo119bo$54boo111bobo$54bobo$55bo$$579boo23boo$
579boo23boo$574boo$573bobo$419boo23boo128bo$419boo23boo$414boo$413bobo
$414bo4$24boo23boo$24boo23boo$54boo$54bobo$55bo112b3o$167bobbo$170bo
408boo23boo$170bo408boo23boo$167bobo404boo$573bobo$419boo23boo128bo$
419boo23boo$414boo$413bobo$414bo$$168b3o$167bobbo$24boo23boo119bo$24b
oo23boo119bo$54boo111bobo$54bobo$55bo$$579boo23boo$579boo10b3o10boo$
432bo141boo$431bobo139bobo15bobo$168b3o248boo10bobo10boo128bo14bo5bo$
167bobbo248boo10bobo10boo142b3obob3o$170bo243boo168b3obo7bob3o$170bo
242bobo167bobo4bobobo4bobo$167bobo244bo8bo17bo148bobobo$422bo6bo5bo6bo
145bob5obo$423bo5bo5bo5bo145boobbobobboo$424bo15bo149bo3bo$24boo23boo
378boo3boo145boo3boobbo3bobboo3boo$24boo23boo378boo3boo145boo3boboo5b
oobo3boo$54boo370bobo7bobo142boo19boo$54bobo144bobo221b3obbo3bobb3o$
55bo145boo220boobboobo3boboobboo137boo4boo3booboo3boo4boo$202bo219bobb
obbo7bobbobbo136bo5b3o9b3o5bo$422bo19bo136b3o5b4o3b4o5b3o$417bo29bo
140boo5boo$416b3o4boo15boo4b3o125boo13bo5bo$415bo3bo3bo17bo3bo3bo123bo
bo$416boobobobo17boboboboo125bo$37bo377b5o8boo5boo8b3o$36b3o375boo3b3o
6boo5boo6b3o$35bobobo373bobo$35bobobo374bo$33boob3oboo$32bobooboboobo
125b3o$31boobo5boboo123bobbo399bo$24boo6boobo3boboo6boo119bo398boo$24b
oo7b3o3b3o7boo119bo237bo160bobo$54boo111bobo237boo146bo$54bobo350bobo
144boo$55bo337bo160bobo$27boo17boo344boo146bo$27boo17boo344bobo144boo$
378bo160bobo$30bo13bo332boo146bo$30boo11boo332bobo144boo$30bobobo5bobo
bo318bo160bobo$34boo3boo11bo309boo146bo$31bo3bo3bo3bo7bobo308bobo144b
oo$34boo3boo9bo297bo160bobo$31boo9boo7bobboo291boo146bo$31b3o7b3o8bo3b
o290bobo144boo$47booboobboo277bo160bobo$46bo6boo277boo146bo$46bo4boo
279bobo144boo$33boo5boo4bo271bo160bobo$33boo5boo6boobo265boo146bo$48b
oobobb3o260bobo144boo$303bo160bobo$302boo146bo$64boo236bobo144boo$63bo
bo222bo160bobo$65bo221boo146bo$79boo206bobo144boo$78bobo192bo160bobo$
80bo191boo146bo$94boo176bobo144boo$93bobo162bo160bobo$95bo161boo146bo$
109boo146bobo144boo$108bobo57b3o72bo160bobo$110bo56bobbo71boo146bo$
124boo44bo71bobo144boo$123bobo44bo57bo160bobo$125bo41bobo57boo146bo$
139boo86bobo144boo$138bobo72bo160bobo$140bo71boo146bo$154boo56bobo144b
oo$153bobo42bo160bobo$155bo41boo146bo$197bobo144boo$168b3o12bo160bobo$
167bobbo11boo146bo$170bo11bobo144boo$167bobbo158bobo$169bo145bo$314boo
$314bobo$300bo$299boo$299bobo$285bo$284boo$284bobo$270bo$269boo$269bob
o$255bo$254boo$254bobo$240bo$239boo$239bobo$225bo$224boo$224bobo$210bo
$209boo$209bobo$195bo$194boo$194bobo$180bo$179boo$179bobo!

Note that the loop can be made arbitrarily large without needing to add any more trails or PI crawlers to the pattern. Therefore the pattern of the output stream can be as complicated as is necessary.

The hard part is to create a helix from the sparse glider streams produced by several of these objects. The helix can then be used to build the trails, eliminating the need for the period 36 puffers.

I don't know how to do the helix building, but maybe there is someone who can do it.

EDIT:

I had forgotten about a flaw in the pseudo-random rake, in that the information loop inverts itself. Because of this, it cannot emit any specified sequence, for example just single gliders.

A small addition to the rake turns it into a positive rake which has that flaw fixed. The example below has much nicer output.

Code: Select all

#C A pseudo-random rake based on PI crawlers.
#C This uses some period 36 c/2 puffers to create trails on which five
#C period 60 PI crawlers climb on.  A loop consisting of LWSSes,
#C gliders, tubs and boats is maintained by the PI crawlers.  Blocks
#C are released when a LWSS fails to be constructed which are then
#C used to suppress gliders from another rake.  The result is an
#C irregular glider stream having a pattern which is encoded by the
#C LWSSes in the circulating loop.  This is shown here emitting three
#C gliders corresponding to three LWSSes.  This is a positive loop
#C version of a previous pseudo-random rake.
#C David I. Bell, 7 September 2026
x = 798, y = 1013, rule = B3/S23
445bo5bo$444b3o3b3o$444bobooboobo$445b3ob3o$445b3ob3o$358bo5bo$357b3o
3b3o80bo3bo$356boobo3boboo77b3o3b3o$356b3o5b3o81bo17bo$357boo5boo78b9o
5b3o4b3o$357boo5boo77bo9bo4bobbobboobo$358bobobobo78b11o3bo6b3o$441bo
15b3obbob3o$343bo14b7o76b18o3bobboo$342b3o4b3o5bo7bo73bo18bo3bo$341boo
bo4bobbo4b9o73b15obobboboboo$341b3o5bobbo3bo10bo69bo17bobb3obo$341b3o
5booboob13o57b3o9b13obo$342boo5bobobbo14bo54bobbo7bo15bo6bo$346b3o4b
17o57bo7b11obo10bo$350boobo17bo55bo6bo12bo$351boo3bob14o52bobo6b9obo$
346boo3bo4bo16bo8b3o45b3o10bo$350bo9bob12o7bobbo44boob6obo$360bo14bo8b
o38b3o3boobbo5bo$364bob10o8bo38bobbo8bo$330b3o3b3o25bo16bobo39bo11bo$
330bobbobobbo29bob10o43bo3bo$330bo7bo29bo8b3o43bo3bo$330bo7bo33bob4o6b
3o36bo6bobo$331bobobobo34bo3b4o4bobbo36bobo6bo$331bobobobo38b4o4bo45b
oobo$332bo3bo47bo3bo43bo$331b3ob3o39boo5bo3bo$315b3o5bo10bo42boo5bo45b
3o$315bobbo3b3o5b9o46bobo41bo3bo$315bo6boboo3bo9bo88bo5bo5b3o$315bo7bo
bo3b12o86bo3bo3bo4bobbo$315bo7bo3bo13bo35boo48bobbobobbo4bo$316boboboo
4b17o33bobbo47bo3bo3bo4bo3bo$298b3o3b3o13bo3bo18bo32booboo47bo5bo5bo$
298bobbobobbo12booboboobbob15o22b3o7bobo39bo9bo3bo7bobo$298bo7bo12boob
obo3bo16bo10bo10bobbo7bo39b3o9b3o$298bo7bo17bo7bob13o8b3o9bo49boobo$
299bobobobo26bo14bo6boobo9bo3bo45b3o$299bobobobo30bob11o5b3o10bo49b3o$
300bo3bo31bo12bo5boo11bobo19bo26b3o$299b3ob3o34bob10o37b3o26boo$283b3o
5bo10bo37bo11boo34boobo$283bobbo3b3o5b9o37bob3o9bo29b3o$283bo6boboo3bo
9bo36bo4b5o3b3o28b3o$283bo7bobo3b12o39bo8boboo27b3o$283bo7bo3bo13bo42b
o5b3o28boo$284boboboo4b17o40b4o3b3o$288bo3bo18bo38bo3bo3b3o$287boobob
oobbob15o36bobbo5boo$287boobobo3bo16bo10bo25boo65b3o$292bo7bob13o8b3o
55boo34bobbo$300bo14bo6boobo91bo6boo$304bob11o5b3o26bo29bo3bo31bo5b3o$
304bo12bo5boo25b3o28bo36bobo3bobboo$308bob10o21bo7b5o26boboobo40b3o3b
oo$308bo11boo18b3o5boo3boo20boobboboobo42bo$312bob3o9bo13boboo5b5o20b
3obbobo$312bo4b5o3b3o13b3o6b3o26b3o$316bo8boboo12b3o7bo$326b3o12boo$
326b3o33b3o$326b3o33bobbo$326boo34bo$317bobbo41bo3bo$317bobo42bo3bo$
318boo42bo$318bo44bobo$318b3o$309bo7b5o106bo5bo$308b3o5bo5bo72b3o30bo
4b3o$308boboo3boobbobboo70bobbo30bo4boboo$309b3obb3obobob3o72bo36b3o$
309b3o3boobbobboo73bo36b3o$309boo5bo5bo67boobbobo37b3o$317b5o8b3o20bob
oo7bo24bobbo41boo$318b3o9bobbo24bo4b3o22boob3o20bo$319bo10bo27bo4boboo
21booboo20bo$330bo3bo14bo4b3obo5b3o21boboo21b3o$330bo3bo13boo14boo23b
oo$330bo17boo3bo$331bobo18bo6$381bo7bo$380b3o5b3o$380boboo4b3o$381b3o
bbo$381b3o12boo$325bobo53boo7b3o4boo$324bobbo57boo3b3o3bo$322bo3boo25b
3o29b3o$324bo22b3o$322b3o21bobbo$349bo39bo$345bo3bo39bo$345bo3bo$349bo
16bobo$346bobo18boo$367bo15bo22bo$382b3o20bobo$337bo43boobo20boo$336b
3o42b3o$335boobo42b3o$335b3o43b3o$336boo44boo4$329bo$328bobboo$328boob
3o$330boobo$329boo$328bo$328bo3bo$$331boo73bo$405bobo$321b3o81boo$320b
obbo$323bo6b3o$319bo3bo8bo$323bo7bo$320bobo16boo34bobo$330boo6bobo35b
oo$329bobbo7bo35bo$329bobbo$329bobbo$326boobboo$326boo3$348boo$323b3o
21bobo$323bobbo22bo56bo$323bo81bobo$323bo3bo77boo$323bo3bo$323bo$324bo
bo$$357boo$356bobo$358bo$484bo5bo$483b3o3b3o$483bobooboobo$484b3ob3o$
484b3ob3o$$366boo16bobo98bo3bo$365bobo17boo96b3o3b3o$367bo17bo20bo80bo
17bo$405bobo75b9o5b3o4b3o$405boo75bo9bo4bobbobboobo$482b11o3bo6b3o$
480bo15b3obbob3o$480b18o3bobboo$478bo18bo3bo$375boo101b15obobboboboo$
374bobo99bo17bobb3obo$376bo87b3o9b13obo$463bobbo7bo15bo6bo$466bo7b11ob
o10bo$466bo6bo12bo$463bobo6b9obo$469b3o10bo$468boob6obo$384boo76b3o3b
oobbo5bo$331bo5bo45bobo76bobbo8bo$330b3o3b3o46bo20bo55bo11bo$330boboob
oobo66bobo54bo3bob3o$331b3ob3o67boo55bo3bobbobbo$331b3ob3o124bo6bobbo$
392boo69bobo4boo$332bo3bo54bobbo$330b3o3b3o52bobbo$316bo17bo57boo$315b
3o4b3o5b9o130b3o$315boboobbobbo4bo9bo128bo3bo$316b3o6bo3b11o127bo5bo5b
3o$316b3obobb3o15bo126bo3bo6bobbo$316boobbo3b18o127b3o7bo$320bo3bo18bo
135bo3bo$319boobobobbob15o135bo$320bob3obbo17bo112bo21bobo$331bob13o9b
3o99b3o$324bo6bo15bo7bobbo97boobo$324bo10bob11o7bo50bo49b3o$335bo12bo
6bo49bobo48b3o$339bob9o6bobo46boo49b3o$339bo10b3o104boo235b3o3b3o$343b
ob6oboo38boo300bobbobobbo$343bo5bobboo3b3o31bobbo299bo7bo$347bo8bobbo
31bobbo299bo7bo$347bo11bo32boo301bobobobo$355bo3bo335bobobobo$355bo3bo
336bo3bo$350bobo6bo335b3ob3o$349bo6bobo107bobo210b3o5bo10bo$349boboo
103b3o5booboo210bobbo3b3o5b9o$350bo105bobbo3b3ob3o209bo6boboo3bo9bo$
456bo7boobb4o207bo7bobo3b12o$456bo12b4obo204bo7bo3bo13bo$457bobo9boobb
o206boboboo4b17o65b3o3b3o$340b3o125bo215bo3bo18bo64bobbobobbo$339bobbo
63bo276booboboobbob15o63bo7bo$342bo62bobo275boobobo3bo16bo10bo51bo7bo$
338bo3bo62boo281bo7bob13o8b3o51bobobobo$342bo353bo14bo6boobo51bobobobo
$339bobo21bo28boo306bob11o5b3o53bo3bo$362b3o26bobbo305bo12bo5boo52b3ob
3o$362boboo25bobbo309bob10o60bo10bo5b3o$363b3o26boo310bo11boo54b9o5b3o
3bobbo$349boo12b3o342bob3o9bo48bo9bo3boobo6bo$363b3o130b3o3b3o203bo4b
5o3b3o46b12o3bobo7bo$363boo130bobbo3bobbo206bo8boboo44bo13bo3bo7bo$
350bo5b3o108bo30bo3bo213bo5b3o43b17o4boobobo$349bobo7bo107bo30bo3bo
212b4o3b3o42bo18bo3bo$349boo4b5obo105bo5bo24bo3bo211bo3bo3b3o41b15obo
bbooboboo$350bobobboobobbo110b3o238bobbo5boo30bo10bo16bo3boboboo$353bo
5bo112boboo20b3o3b3o209boo37b3o8b13obo7bo$350b3ob4o115b3o21bo5bo249bob
oo6bo14bo$349boobo101bo18b3o21b7o7bo5b3o234b3o5b11obo$350boo54bo46bo
19b3o20bo7bo5b3o4bobbo233boo5bo12bo$351bo53bobo45b3o17boo20b11o3bobboo
3bo241b10obo$405boo87bo11bobbobboo3bo3bo183bo51boo11bo$493b17obboo3bo
186b3o45bo9b3obo$264bo5bo121boo98bo17bobobo3bobo183boboo43b3o3b5o4bo$
263b3o3b3o119bobbo96b16obobob3o190b3o42boobo8bo$262boobo3boboo118bobbo
95bo17boboobbo190b3o42b3o5bo$262b3o5b3o119boo84bo10b14obo200boo43b3o3b
4o$263boo5boo205b3o8bo15bo4b3o214b3o21b3o3bo3bo$263boo5boo204boobo7b
12obo212boo11bobbo21boo5bobbo$264bobobobo205b3o7bo13bo211bobbo10bo32b
oo$477boo7b9obo215bobbo10bo3bo$264b7o14bo197boo11bo218bo10bo3bo$263bo
7bo5b3o4b3o194boobb6obo222bo6boobbo32bo$263b9o4bobbo4boboo188bo5bo9bo
219bobo3bobob3obbobo28b3o$261bo10bo3bobbo5b3o187b3o8bobo224bo5bobobbo
32b5o7bo$261b13obooboo5b3o80b3o104boboo3bo5bo228b3ob3o32boo3boo5b3o$
186bo5bo66bo14bobbobo5boo81bobbo104b3obbo3bo230bobboboo34b5o5boobo$
185b3o3b3o65b17o4b3o79boo4bo37bo69b3o236bo3boo37b3o6b3o$184boobo3boboo
62bo17boboo84bo4bo36bobo68b3o3bobo230bo43bo7b3o$184b3o5b3o62b14obo3boo
82bobbo5bobo33boo69boo3boboo230boo51boo$185boo5boo50b3o8bo16bo4bo3boo
78boo120bobo260b3o$185boo5boo50bobbo7b12obo9bo113boo90bo260bobbo$186bo
bobobo51bo8bo14bo122bobbo353bo$244bo8b10obo126bobbo349bo3bo$171bo14b7o
52bobo16bo127boo350bo3bo$170b3o4b3o5bo7bo55b10obo184bo47bo254bo$169boo
bo4bobbo4b9o55b3o8bo183bo47b3o250bobo$169b3o5bobbo3bo10bo46b3o6b4obo
187b3o45boboo$169b3o5booboob13o45bobbo4b4o3bo236b3o$170boo5bobobbo14bo
46bo4b4o240b3o$174b3o4b17o42bo3bo248boo$178boobo17bo40bo3bo5boo218b3o$
179boo3bob14o44bo5boo102bo6b3o106bobbo60b3o3b3o$174boo3bo4bo16bo8b3o
28bobo109b3o4bo3bo105bo13boo48bobbobobbo175bo$178bo9bob12o7bobbo139boo
bo4booboo3bo101bo3bo7bo51bo7bo203bo7boobo$188bo14bo8bo36boo101b3o4bo4b
o3boo36bo63bo3bo10bo48bo7bo183bo18b3o4bo$192bob10o8bo36boboo99b3o3b3ob
oo3bobo35bobo62bo14bo49bobobobo191bo10boobo4bo$192bo16bobo40bo100boo3b
oo3bo41boo64bo3boboo3bo52bobobobo182boo6b3o9b3o5bob3o4bo$196bob10o40bo
boobo106b3o114boo4bobo50bo3bo183b3o4boobo10boo14boo$196bo8b3o39boo4bo
5b3o130boo79b3obboo4boo49b3ob3o183bo5b3o23bo3boo$200bob4o6b3o35bo7bobb
o129bobbo79boo5bo37b3o5bo10bo193boo24bo$200bo3b4o4bobbo30b3obobbo7bo
129bobbo81bobbobobo35bobbo3b3o5b9o$204b4o4bo33booboobo4bo3bo130boo84bo
bbobbo34bo6boboo3bo9bo$212bo3bo28bo4bo4bo5bo115bo100bo5bo34bo7bobo3b
12o$205boo5bo3bo21bo7bo11bobo116boo103b3o34bo7bo3bo13bo$205boo5bo24b3o
5bo130bobo141boboboo4b17o65b3o3b3o$213bobo21boboo5bo8bo268bo3bo18bo64b
obbobobbo$238b3o13boo100bo166booboboobbob15o63bo7bo$238b3o7boboboo101b
3o165boobobo3bo16bo10bo51bo7bo$238b3o8bobo103boboo169bo7bob13o8b3o51bo
bobobo$238boo116b3o177bo14bo6boobo51bobobobo$356b3o181bob11o5b3o53bo3b
o$195b3o158b3o27bo49bo103bo12bo5boo52b3ob3o$195bobbo157boo4bo23boo18bo
28bo108bob10o60bo10bo5b3o89b3o27b3o$195bo11boo153bo22bobo17bobo27b3o
106bo11boo54b9o5b3o3bobbo81b3o5bobo33b3o$195bo3bo6b4o195boo141bob3o9bo
48bo9bo3boobo6bo80bobbo4bobbo3boo28bobbo$195bo9boo3bo337bo4b5o3b3o46b
12o3bobo7bo83bo4bobo3bobo28bo$196bobo5boboobo8bo173boo158bo8boboo44bo
13bo3bo7bo79bo3bo4b3o5bo28bo3bo$205bo11b3o171bobboo166b3o43b17o4boobob
o84bo41bo3bo$205bo10boobo72b3o5b3o37b3o5b3o39b6o158bo7b3o42bo18bo3bo
85bobo23bobo16bo$205bob3o6b3o72bobbo5bobbo35bobbo5bobbo42boo69bo88boo
6b3o41b15obobbooboboo110boo18bobo$204b6o6b3o72bo3bo3bo3bo35bo3bo3bo3bo
40b4o68b3o6bo88boo30bo10bo16bo3boboboo111bo$204bo3boo3boob3o175b3o66b
oobo5bo120b3o8b13obo7bo$204bo4bobobbobboo23boo46bo4bo3bo4bo33bo4bo3bo
4bo110b3o5boobo80bo37boboo6bo14bo$207bobob3o28b4o43bobobooboboboobobo
31bobobooboboboobobo41boo67boo6boo79b4o37b3o5b11obo125boo$207boob3o28b
o4bo42bo3booboboboo3bo31bo3booboboboo3bo119bo78bo3bo37boo5bo12bo124bob
o$208bo32boo3boo46boo3boo41boo3boo206b3o41b10obo130bo$206bo40boo296bo
6b3obbo39boo11bo$206boo37bobo42bobbo7bobbo33bobbo7bobbo191b3o5b3o3bo
33bo9b3obo$245boo297boboobbobobbo35b3o3b5o4bo112b3o$292bo9bo37bo9bo
194b3obbobbobboboo30boobo8bo116bobbo$290boo11boo33boo11boo53bo138b3o4b
ooboboo31b3o126bo$218b3o184bobo137boo3b5ob4oboo27b3o7bo118bo3bo$218bo
bbo72boo3boo41boo3boo56boo145booboboo7b3o21b3o6boo118bo3bob3o$218bo12b
3o60boo3boo3b3o29b3o3boo3boo201b3ob3oboo6bobbo21boo126bo$218bo12bobbo
53b3o13bobbo27bobbo13b3o196bob5o8bo153bobo$219bobo9bo56bobbo11bobboo
27boobbo11bobbo198bobobo8bo3bo$231bo54bo4bo10b4o31b4o10bo4bo42bo72bo
93bo3bo$232bobo50bo5boo7bobboo33boobbo7boo5bo40bobo69booboo4b3o73bo10b
o$291booboo3bo5bo31bo5bo3booboo47bo27bo42booboo3bobbo73bo11bobo$288bob
oobboo3bob6o29b6obo3boobboobo71bo38b3o13bo127bo132boo$284bo3bo11b5oboo
bbo21bobboob5o11bo3bo67b3o36bo5booboobo3bo126b3o130bobo$208bo75boobbo
17bo29bo17bobboo107bo4booboo5bo115bo9boobo131bo$212boo72boo19bobbo21bo
bbo19boo116bo4bobo115boboo7b3o$208bo3boo94bo25bo260bo3b3o5b3o$205bobbo
10bo15bobo358boo10boo$205bobbo8bobo15bobbobbo45bo67bo230b3o10bobo$206b
oo10boo15boobboo46bo67bo229bobbo11bo$210bo26bo48bobo65bobo231bo8bo$
209bobo26boo47bo67bo50bo49b3o125bo3bo6boob3o$211bo74b3o65b3o48bobo48bo
127bo3bobboo7boo$203bo6bo36bo38b3o65b3o48boo50bo104bo25bobbobbobo4bo$
202b3o41b3o38bo67bo204b4o21bobo4b5obbo$202boboo39boobo37bobo65bobo120b
3o79bo4bo32boo$203b3o31bo7b3o39bo67bo121bobbo77bobboboo32bo$203b3o30bo
bo6b3o39bo67bo43bo77bo80bo40bo$203b3o30bobo7boo60boo23boo63bobo76bo3bo
76bobo37boo$203boo103boo23boo64bo77bo3bo77boo$228boo8boo207b3o21boo4bo
264boo$227boo8boobo206bo25bo4bobo260bobo$229bo6bo211bo137bo155bo$235b
oobbo345b3o$236bobo334bo10boobo167bo7bo$572b3o9b3o167b3o5b3o$571boobo
10boo166bobboo3boobbo$571b3o182boo3boo$245bo172bo153boo178boo4bobo4boo
$244b3o159bo10bo20b3o311boobbobobobobboo$244boboo157bobo9b3o18bo313bo
13bo$245b3o157boo32bo155boo156b3obbobobb3o$222boo21b3o345bo4bo159bobo$
222bobo20b3o344bo5bo$223bo21boo345bo159boo11boo$399bo164bo3boo16bobo4b
o3b4o151boo11boo$308boo23boo63bobo163bo3b3o15boo9b4o$308boo23boo64bo
165boobbo17bo168boo3boo$429b3o134boo174boo12boo3boo$429bo136boo26b3o
144bobo7bo$430bo163boo146bo7b3o14bo$596bo152bobboo12b3o$557b3o41b3o
162boboo$556bobbo41bobbo156bobo5bo$559bo41bo152bo6bobo5b3o$555bo3bo7b
3o31bo3bo141boobboboobo5bobo4boo$559bo7b3o31bo3bo142bo6bo9bob3o$406bo
13b3o18b3o5b3o104bobo42bo147bobbo14boo$405bobo12bo20bobbo3bobbo113b3o
8boo24bobo145bo16bo$405boo14bo19boboo3boobo116bo6bobo$222boo341bo3bo7b
o183bo$222bobo341bo3bo190bo4b3o$223bo218b3o3b3o116bobbo179bo11bo3boo$
399bo38boob3obobob3oboo113bo180b3o10boo$308boo23boo63bobo39boo3bobo3b
oo295bo3bo4bo3boobo$308boo23boo64bo9boo31b3o3b3o296bo5bobbo8bo4boo$
409boo31b3o3b3o291boo4bo3bobb3o5b9o$559b3o179bobo6bo6bo8boobo$559bobbo
179bo13b6o6bo$559bo197b4o$559bo3bo18boo174boo$559bo3bo17bobo$201b3o5b
3o225b3o3boo3boo109bo22bo$201bobbo3bobbo225bobbobboo3boo3b3o104bobo$
200bo3bo3bo3bo224bo15bobbo$200bobo7bobo193bo31bobo12bo$200bobobooboobo
bo192bobo27bo3bo13bo3bo$201bobbooboobbo193boo28bo21bo$202booboboboo11b
oo210bo17bo4bo$203boo3boo12bobo227bo$199boobbo5bobboo9bo227boo3boo$
199boo11boo185bo51boobo$204bo3bo99boo23boo63bobo35boo11boboboobo290boo
$203bo5bo98boo23boo64bo9boo26bo9boobo4bo291boo$203boo3boo199boo25boo6b
obbobbo291boo$435bobo7bobobo6boo283bobo$436bo5boobbobo6b3o284bo$213b3o
221boo5bo9boo$197b3o12bobbo238boo126boo$196bobbo3boo7bobbo365bobo$200b
ob3o4bobooboo366bo$198b6o7bobbo$195bobbo12booboo$196bobbo9b5o192bo$
195booboobboo8bobbo189bobo372bo7bo$195boobo3b3obboo4bobo189boo372b3o5b
3o$195b3o6bobboo6booboobboo554bobboo3boobbo$195bo6b3obb3o4booboo3bobo
556boo3boo$195bobobbobbo6boobbooboo4bo553boo4bobo4boo$196boo3boo12boo
182bo377boobbobobobobboo$308boo23boo63bobo194bo7bo143boo28bo13bo$308b
oo23boo64bo9boo23boo158b3o5b3o142boo29b3obbobobb3o$409boo23boo157bobb
oo3boobbo136boo39bobo$593bo3bo3bo3bo135bobo$594booboobooboo137bo34boo
11boo$594boobo3boboo172boo11boo$582boo12bo5bo$581bobo13booboo179boo3b
oo$582bo9boobbo5bobboo174boo3boo$592boobbo5bobboo169bo$775b3o14bo$406b
o189bobobobo172boboo12b3o$217boo186bobo188boo3boo174boo11bobboo$217boo
186boo368boo13bobboo$222boo551boobbo8b3oboo$222bobo366bo182bo4bo$223bo
366b3o14bo167bobo14boo$399bo190boboobobo3boo3b3o166boo4bo6bo4bo$308boo
23boo63bobo190bo9boobbobboo137boo33bobobboo$308boo23boo64bo9boo23boo
155bobo3bo6bob4o137boo37bo6bo$409boo23boo154boobboo7bo5boo131boo37bo
14boo$589bobbo16bo131bobo28b3o5bob3ob3o$591boobbobo4bobb3obo132bo32bo
4boboo3boo7bo$587bo3boobbobo4boo3bobo166bo4bo10b4o$582boo3bobbo7bobbo
6boo163bobo$581bobo3boobo4bobo4bobo5bo$582bo5bobo6bo4bobbobboo$589boo
3boo7boo3boo$$406bo$217boo186bobo$217boo186boo$176b3o5b3o35boo$176bobb
o3bobbo35bobo$175bo3bo3bo3bo35bo$175bobo7bobo211bo$175bobobooboobobo
120boo23boo63bobo346boo23boo$176bobbooboobbo121boo23boo64bo9boo23boo
311boo23boo$177booboboboo223boo23boo306boo$178boo3boo556bobo$174boobbo
5bobboo398boo153bo$174boo11boo398boo$179bo3bo398boo$178bo5bo396bobo$
178boo3boo397bo3$188b3o215bo$172b3o12bobbo26boo186bobo$171bobbo3boo3b
oobboobbo25boo186boo$171bo3bobboo3boo5b3o29boo$170boo20bo29bobo$171boo
18boo30bo$191bo207bo$176bo131boo23boo63bobo346boo23boo$176bo131boo23b
oo64bo9boo23boo311boo23boo$187bo221boo23boo306boo$187b3o551bobo$187boo
398boo153bo$170b3o414boo$170b3o409boo36bo7bo$170b3o408bobo35b3o5b3o$
170b3o409bo35bobboo3boobbo$618bo3bo3bo3bo$619booboobooboo$406bo212boob
o3boboo$192boo23boo186bobo213bo5bo$192boo23boo186boo215booboo$222boo
393boobbo5bobboo$222bobo392boobbo5bobboo$223bo$399bo221bobobobo$308boo
23boo63bobo220boo3boo119boo23boo$308boo23boo64bo9boo23boo311boo23boo$
409boo23boo306boo$616bo124bobo$587boo26b3o14bo109bo$587boo25bobboobboo
3boo3b3o$582boo30boo5boo3boobbobboo$581bobo29bo16bo3bo$582bo30b3o18bo$
633bo$628bobo$320b3o83bo212bo10bo$192boo23boo186bobo209bo$192boo23boo
100bo3bo81boo209bobbo9bo$222boo95bo3bo293bo16bo$222bobo92bo7bo292bo15b
o$223bo91boo4bo4boo306bo$315bo4bobo4bo71bo234bo$308boo5bo3bo3bo3bo5boo
63bobo233bo112boo23boo$308boo6boobo3boboo6boo64bo9boo23boo198bo112boo
23boo$318bo5bo84boo23boo306boo$741bobo$587boo23boo128bo$311boo17boo
255boo23boo$311boo17boo250boo$581bobo$314boo11boo253bo$313boo13boo$
314bobb3o3b3obbo$315bob3o3b3obo78bo$192boo23boo101bobo82bobo$192boo23b
oo96booboo3booboo77boo$222boo91bobbo5bobbo$222bobo90bobo7bobo$223bo92b
o9bo$399bo$398bobo346boo23boo$317boo5boo73bo9boo23boo311boo23boo$317b
oo5boo83boo23boo306boo$741bobo$587boo23boo128bo$587boo23boo$582boo$
581bobo$582bo3$406bo$192boo23boo186bobo$192boo23boo186boo$222boo$222bo
bo$223bo$399bo$398bobo346boo23boo$399bo9boo23boo311boo23boo$409boo23b
oo306boo$741bobo$587boo23boo128bo$587boo23boo$582boo$581bobo$582bo3$
406bo$192boo23boo186bobo$192boo23boo186boo$222boo$222bobo$223bo$399bo$
398bobo346boo23boo$399bo9boo23boo311boo23boo$409boo23boo306boo$741bobo
$587boo23boo128bo$587boo23boo$582boo$581bobo$582bo3$406bo$192boo23boo
186bobo$192boo23boo186boo$222boo$222bobo$223bo$399bo$398bobo346boo23b
oo$399bo9boo23boo311boo23boo$409boo23boo306boo$741bobo$587boo23boo128b
o$587boo23boo$582boo$581bobo$582bo3$406bo$192boo23boo186bobo$192boo23b
oo186boo$222boo$222bobo$223bo$399bo$398bobo346boo23boo$399bo9boo23boo
311boo23boo$409boo23boo306boo$741bobo$587boo23boo128bo$587boo23boo$
582boo$581bobo$582bo3$406bo$192boo23boo186bobo$192boo23boo186boo$222b
oo$222bobo$223bo$399bo$398bobo346boo23boo$399bo9boo23boo311boo23boo$
409boo23boo306boo$741bobo$587boo23boo128bo$587boo23boo$582boo$581bobo$
582bo3$406bo$192boo23boo186bobo$192boo23boo186boo$222boo$222bobo$223bo
$399bo$337bo60bobo346boo23boo$336b3o60bo9boo23boo311boo23boo$335boobo
70boo23boo306boo$335b3o403bobo$336boo249boo23boo128bo$587boo23boo$582b
oo$581bobo$582bo3$406bo$192boo23boo186bobo$192boo23boo186boo$222boo$
222bobo$223bo$399bo$398bobo346boo23boo$399bo9boo23boo311boo23boo$409b
oo23boo306boo$741bobo$587boo23boo128bo$587boo23boo$582boo$581bobo$582b
o3$406bo$192boo23boo186bobo$192boo23boo186boo$222boo$222bobo$223bo$
399bo$398bobo346boo23boo$399bo9boo23boo311boo23boo$409boo23boo306boo$
741bobo$587boo23boo128bo$587boo23boo$582boo$581bobo$582bo3$406bo$192b
oo23boo186bobo$192boo23boo186boo$222boo$222bobo$223bo$399bo$398bobo
346boo23boo$399bo9boo23boo311boo23boo$409boo23boo306boo$741bobo$587boo
23boo128bo$587boo23boo$582boo$581bobo$582bo3$406bo$192boo23boo186bobo$
192boo23boo186boo$222boo$222bobo$223bo$399bo$398bobo346boo23boo$399bo
9boo23boo311boo23boo$409boo23boo306boo$741bobo$587boo23boo128bo$587boo
23boo$582boo$581bobo$582bo3$406bo$192boo23boo186bobo$192boo23boo186boo
$222boo$222bobo$223bo$399bo$398bobo346boo23boo$399bo9boo23boo311boo23b
oo$409boo23boo306boo$741bobo$587boo23boo128bo$587boo23boo$582boo$581bo
bo$582bo3$406bo$192boo23boo186bobo$192boo23boo186boo$222boo$222bobo$
223bo$399bo$398bobo346boo23boo$399bo9boo23boo311boo23boo$409boo23boo
306boo$741bobo$587boo23boo128bo$587boo23boo$582boo$581bobo$582bo3$406b
o$192boo23boo186bobo$192boo23boo186boo$222boo$222bobo$223bo$399bo$398b
obo346boo23boo$399bo9boo23boo311boo23boo$409boo23boo306boo$741bobo$
587boo23boo128bo$587boo23boo$582boo$581bobo$582bo$422bo$421b3o$406bo
13bo3bo$192boo23boo186bobo14bo$192boo23boo186boo11bo3bo3bo$222boo189b
oo3bo7bo3boo$222bobo188boo3bob5obo3boo$223bo188bo6bob3obo6bo$399bo13b
oo15boo$337bo60bobo12b5o9b5o315boo23boo$336b3o60bo9boo6bo9bo6boo311boo
23boo$335boobo70boo5bobboo3boobbo5boo306boo$335b3o78booboo3booboo312bo
bo$336boo79bobbo3bobbo159boo23boo128bo$418boo5boo160boo23boo$582boo$
581bobo$582bo$$419bo5bo$419bo5bo$192boo23boo118bo82bo3bo$192boo23boo
117b3o$222boo111boobo$222bobo110b3o$223bo112boo$$747boo23boo$747boo23b
oo$742boo$741bobo$587boo23boo128bo$587boo23boo$582boo$581bobo$582bo4$
192boo23boo$192boo23boo$222boo$222bobo$223bo$$747boo23boo$747boo23boo$
742boo$741bobo$587boo23boo128bo$587boo23boo$582boo$581bobo$582bo4$192b
oo23boo$192boo23boo$222boo$222bobo$223bo$$747boo23boo$747boo23boo$742b
oo$741bobo$587boo23boo128bo$587boo23boo$582boo$581bobo$582bo4$192boo
23boo$192boo23boo$222boo$222bobo$223bo$759b3o$600bo146boo10b3o10boo$
599b3o145boo23boo$598booboo139boo15bobo$597boo3boo137bobo$587boo9boob
oo9boo128bo8boo15boo$587boo23boo136bo5bobo3bobo5bo$582boo167boobbobbo
3bobbobboo$581bobo$582bo170bo4bo3bo4bo$590boo5bo5bo5boo146boo3boo$590b
oo5bo5bo5boo144bo9bo$595b4o3b4o147boobboo3boobboo$192boo23boo374b4obo
3bob4o144bo3b3o3b3o3bo$192boo23boo373bobobooboboboobobo142boo3bo7bo3b
oo$222boo367bobobbobbobobbobbobo140b3o15b3o$222bobo367bo3boo5boo3bo
142bo17bo$223bo372boo5boo139b3obbobo17bobobb3o$595bo9bo9bo128bobbobboo
17boobbobbo$584b3o9bo7bo10bo128booboboo19booboboo$583bobbo9bo7bo141boo
bo6boo5boo6boboo$583boboo31boo122boo4boo6boo5boo6boo$584bo4bo20bo7b3o
120bobo$587boboo18b3o7bo122bo$204b3o379booboo5boo5boo4bobbo5bo$205bo
381boo7boo5boo4bo3boo$581b3o26bob3o$611b3o$197boob11oboo$197booboobobo
bobooboo521b3o$196bo4bo7bo4bo520bo$192boo3bo3bobooboobo3bo3boo354b3o
160bo$192boo5boobbo3bobboo5boo354bo146b3o$199booboo3booboo10boo350bo
145bo$222bobo333b3o160bo$223bo334bo146b3o$559bo145bo$197bo15bo329b3o
160bo$197b3o11b3o329bo146b3o$198boo11boo331bo145bo$197bo15bo314b3o160b
o$197b3o11b3o314bo146b3o$197bobb4o3b4obbo315bo145bo$202boo3boo304b3o
160bo$199bo4bobo4bo301bo146b3o$200bob3ob3obo303bo145bo$203booboo15bo
274b3o160bo$498bo146b3o$499bo145bo$201boo5boo5boobbo263b3o160bo$200bo
9bo10bo261bo146b3o$201boo5boo9bobbobo259bo145bo$219boobboo243b3o160bo$
234bo233bo146b3o$234boo233bo145bo$233bobo217b3o160bo$249bo203bo146b3o$
249boo203bo145bo$248bobo187b3o160bo$264bo173bo146b3o$264boo173bo145bo$
263bobo157b3o160bo$279bo143bo146b3o$279boo143bo145bo$278bobo127b3o160b
o$294bo113bo146b3o$294boo113bo145bo$293bobo97b3o160bo$309bo83bo146b3o$
309boo83bo145bo$308bobo67b3o160bo$324bo53bo146b3o$324boo53bo145bo$323b
obo37b3o160bo$336b3o24bo146b3o$335bo28bo145bo$335bo4bo7b3o160bo$337boo
9bo146b3o$336bobo10bo145bo$334boo3bobo154bo$340bo139b3o$480bo$339boo
140bo$339boo124b3o$339boo124bo$466bo$450b3o$450bo$451bo$435b3o$435bo$
436bo$420b3o$420bo$421bo$405b3o$335boo68bo$335boo69bo$390b3o$390bo$
391bo$375b3o$375bo$376bo$360b3o$360bo$361bo$345b3o$345bo$346bo28$195b
3o$195bo$196bo$180b3o$180bo$181bo34$3o$o$bo!

Another problem that I had mentioned in my old post is that the gliders emitted by the rakes can only directly affect one part of the helix. Therefore, to build a complete helix a huge number of these rakes would be necessary, several times as many as the number of spaceships in one unit of the helix. That would make an impractically large object.

This can be avoided by using (currently unknown) slow-salvo technology using standard spaceships.

Four or five forward and backward rakes can be used to generate backward spaceships on demand using one-sided synthesis. Then a small number of rakes can be programmed to emit a large sequence of backward spaceships to construct the helix. With a few of these backward spaceship streams having slightly different phases and displacements, I think that a complete set of slow-salvo reactions can be made.

This means that the number of PI crawlers and trails isn't excessive, and the resulting spaceship will be large mainly because of the length of the loop size within the rakes.

(I hope this description is clear enough.)

EDIT 2:

The slow-salvo idea discussed above isn't correct and is almost useless.

Each one would be able to construct only a small number of spaceships for the helix, and so a very large number of the salvos would be needed for a complete helix.

BCNU,
-dbell

ConwayLife.com

The hunt for the ever-elusive piship

The hunt for the ever-elusive piship

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Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship

Re: The hunt for the ever-elusive piship