Thread for your unsure discoveries

[ColorfulGalaxy]

Has anybody found this "Mathematician weld mathematician weld mathematician weld..." agar?
Also, what's the first known p5 agar?

Code: Select all

x = 17, y = 17, rule = B3/S23:T18,18
6b9o$5bo9bo$6b9o2$6b3o3b3o$bo4bo7bo$obob2o2b2ob2o2b2o$obobo4bobo4bo$o
bobobo2bobo2bobo$obo3b3o3b3o$obo$obo3b3o3b3o$obobobo2bobo2bobo$obobo4b
obo4bo$obob2o2b2ob2o2b2o$bo4bo7bo$6b3o3b3o!

Edit: I searched LifeWiki for "p5 agar" but failed.

Turns out that I posted at the end of the page.

And: The "chemist weld chemist weld chemist weld..." agar. It's also p5.

Code: Select all

x = 7, y = 11, rule = B3/S23:T8,11
3b3o$6bo$b3o2bo$obobobo$o3bobo$o5bo$obo3bo$obobobo$o2b3o$o$b3o!

[Mr. T]

Herschel meets Hive and Boat.
Known? Usefull?

Code: Select all

x = 22, y = 11, rule = B3/S23
20bo$19bobo$19b2o3$10b2o$9bo2bo$2bo7b2o$3o$obo$o!

[JaneX]

I found this way back in 2013 and then forgot about it. It's a methuselah (if I remember the term correctly) which looks like this:
_ 0 0 _
0 _ _ 0
_ 0 0 _
_ 0 _ _
It lives for 1101 generations and leaves:
6 gliders
8 bricks
4 beehives
4 blinkers
1 loaf
1 boat
1 ship
if my record is correct.
Known or not?

[dvgrn]

I found this way back in 2013 and then forgot about it. It's a methuselah (if I remember the term correctly) which looks like this:

Code: Select all

x = 4, y = 4, rule = B3/S23
b2o$o2bo$b2o$bo!
[[ THUMBNAIL THUMBSIZE 3 ]]

Welcome to the forums! Definitely known, since 1969 (found and tracked by Conway's original team, working without a computer). That's a two-tick descendant of an R-pentomino.

[wwei23]

I couldn't find this in jslife or on the Wiki, is it new?

Code: Select all

x = 12, y = 11, rule = B3/S23
5bo$4bobo$5bo2$3b5o$obo5bo$2obob2obo$3bo4bob2o$3bob2obob2o$4bo2bo$5b2o
!

EDIT: WAIT I THINK THIS IS STRICTLY VOLATILE

oscillizer.PNG (17.56 KiB) Viewed 6651 times

Edit 2: Never mind, I think that I misunderstood the definition of strict volatility. Oh well.

[Sokwe]

I couldn't find this in jslife or on the Wiki, is it new?

It's in jslife, but not in the obvious place. It's in osc/x-djb-oscillators.lif (4th oscillator in column 1).

[wwei23]

Is this big-still-life-producing pi-to-pi collision known?

Code: Select all

x = 28, y = 39, rule = Life
3o$obo$obo34$25b3o$27bo$25b3o!

EDIT: Eater 1 on block:

Code: Select all

x = 22, y = 36, rule = Life
3o$obo$obo31$19b3o$21bo$19b3o!

Paperclip!

Code: Select all

x = 24, y = 36, rule = Life
21b3o$21bobo$21bobo31$3o$2bo$3o!

EDIT 2: Heh, that's an interesting way to produce that constellation of 4 blocks on the upper right.

Code: Select all

x = 26, y = 34, rule = Life
3o$obo$obo29$23b3o$25bo$23b3o!

EDIT 3: Toad AND Beacon!

Code: Select all

x = 8, y = 33, rule = Life
3o$obo$obo28$5b3o$7bo$5b3o!

Edit 4: Integral!

Code: Select all

x = 3, y = 33, rule = Life
3o$obo$obo28$3o$2bo$3o!

Edit 5: Shillelagh!

Code: Select all

x = 19, y = 32, rule = Life
3o$obo$obo27$16b3o$18bo$16b3o!

Edit 6: What is this constellation called again?

Code: Select all

x = 17, y = 30, rule = Life
3o$obo$obo25$14b3o$16bo$14b3o!

Edit 7: Those traffic lights lol

Code: Select all

x = 17, y = 30, rule = Life
14b3o$14bobo$14bobo25$3o$2bo$3o!

[dvgrn]

Is this big-still-life-producing pi-to-pi collision known?

Code: Select all

x = 28, y = 39, rule = Life
3o$obo$obo34$25b3o$27bo$25b3o!

Not well-known, I guess, but that might be for good reason. Fourteener is right in the middle of the 100 most common objects found by soup searches, and it has a four-glider synthesis, so there's not much point in making it very slowly and messily with two pi-heptominoes.

[wwei23]

What about this block on cover? (I think it's rare enough to get a new post.)

Code: Select all

x = 11, y = 29, rule = Life
3o$obo$obo24$8b3o$10bo$8b3o!

[dvgrn]

What about this block on cover? (I think it's rare enough to get a new post.)

Code: Select all

x = 11, y = 29, rule = Life
3o$obo$obo24$8b3o$10bo$8b3o!

Also in the top hundred most common soup objects, and also has a four-glider synthesis that doesn't leave a huge mess. Having it show up in a two-pi soup is really not at all surprising.

I've been trying to avoid saying anything unpleasant about the number of "known or new?" questions recently, but there have been a lot of them. Please use that phrase sparingly. When you say that, you're really asking someone else to do research for you.

If you find that you are unable do that research yourself, then most likely the answer is something unsatisfying, like "it's neither known or unknown -- quite possibly several people have seen it, but it's not something that would be worth recording anywhere".

If you find that future questions along these lines are going unanswered, it's probably because everyone has gotten burned out on that kind of question.

[wwei23]

I'm sorry. I tend to get a bit overexcited when I see anything that seems rarer than an eater 1 or so.

[mniemiec]

Is this big-still-life-producing pi-to-pi collision known? ...
EDIT: Eater 1 on block: ...
Paperclip! ...
EDIT 2: Heh, that's an interesting way to produce that constellation of 4 blocks on the upper right. ...
EDIT 3: Toad AND Beacon! ...
Edit 4: Integral! ...
Edit 5: Shillelagh! ...
Edit 6: What is this constellation called again? ...
Edit 7: Those traffic lights lol ...

Most of these results (1, 1, 4, 5) could be formed cleanly from four gliders. Two pis would also require four gliders, and produce large quantities of superfluous junk, making such interactions generally uninteresting, unless they form in particularly unique ways. In cases like #6, there are countless huge constellations resulting from methuselahs, so very few of them have names. One can sometimes get more interesting results when the starting pattern includes a point of line of symmetry.

While it can be useful and/or educational to do things like "collide two pi heptominoes in all possible ways", in most cases, the results are uninteresting, and there's not much use in reporting them on the forums, because there countless numbers of them; it's about as useful as naming every grain of sand on a beach.

[ColorfulGalaxy]

Found a BTC by accident, but I couldn't find it on the Wiki because I don't know its name.

Code: Select all

x = 12, y = 7, rule = B3/S23
5b2o$4bo2bo$bo2b4o2bo$obobo2bobobo$bo2bo2bo2bo$4bo2bo$5b2o!

[Macbi]

Found a BTC by accident, but I couldn't find it on the Wiki because I don't know its name.

Code: Select all

x = 12, y = 7, rule = B3/S23
5b2o$4bo2bo$bo2b4o2bo$obobo2bobobo$bo2bo2bo2bo$4bo2bo$5b2o!

I don't know if it has a name, but it's in the Catagolue: https://catagolue.appspot.com/object?ap ... rule=b3s23

[mniemiec]

Found a BTC by accident, but I couldn't find it on the Wiki because I don't know its name. ...

The Wiki mainly only contains notable patterns. This oscillator just has two copies of the spark coil/test tube baby rotor. The first instance of each was notable, but since there are infinitely many ways of making oscillators with the same rotor(s), those are generally not notable, and hence not mentioned in the Wiki.

[ColorfulGalaxy]

Found a BTC by accident, but I couldn't find it on the Wiki because I don't know its name.

Code: Select all

x = 12, y = 7, rule = B3/S23
5b2o$4bo2bo$bo2b4o2bo$obobo2bobobo$bo2bo2bo2bo$4bo2bo$5b2o!

I don't know if it has a name, but it's in the Catagolue: https://catagolue.appspot.com/object?ap ... rule=b3s23

A related p2 agar:

Code: Select all

x = 4, y = 4, rule = B3/S23:T5,4
o2bo$4o$o2bo$o2bo!

I assume that Catagolue doesn't list agars...

[yujh]

Found a BTC by accident, but I couldn't find it on the Wiki because I don't know its name.

Code: Select all

x = 12, y = 7, rule = B3/S23
5b2o$4bo2bo$bo2b4o2bo$obobo2bobobo$bo2bo2bo2bo$4bo2bo$5b2o!

I don't know if it has a name, but it's in the Catagolue: https://catagolue.appspot.com/object?ap ... rule=b3s23

A related p2 agar:

Code: Select all

x = 4, y = 4, rule = B3/S23:T5,4
o2bo$4o$o2bo$o2bo!

I assume that Catagolue doesn't list agars...

because they are usually useless, and this is a good useless agar example.

[wwei23]

Stabilization for that agar:

Code: Select all

x = 85, y = 67, rule = Life
4b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o$2obo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bob2o$bob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4obo$bobo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo$2obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bob2o$3bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo$2ob4ob4ob4ob4ob4ob4ob4ob4ob4ob
4ob4ob4ob4ob4ob4ob4ob2o$bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo$bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo$2obo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob2o$
3b4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4o$2obo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob2o$bob
o2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob
o2bobo2bobo$bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob
o2bobo2bobo2bobo2bobo2bobo$2ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob
4ob4ob4ob2o$3bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bo$2obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bob2o$bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo$bob4ob4ob4ob4o
b4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4obo$2obo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob2o$3bo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo$2ob
o2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob
o2bobo2bob2o$bob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4obo$bobo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo$2obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bob2o$3bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo$2ob4ob4ob4ob4ob4ob4ob4ob4ob4ob
4ob4ob4ob4ob4ob4ob4ob2o$bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo$bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo$2obo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob2o$
3b4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4o$2obo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob2o$bob
o2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob
o2bobo2bobo$bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob
o2bobo2bobo2bobo2bobo2bobo$2ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob
4ob4ob4ob2o$3bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bo$2obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bob2o$bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo$bob4ob4ob4ob4o
b4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4obo$2obo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob2o$3bo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo$2ob
o2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob
o2bobo2bob2o$bob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4obo$bobo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo$2obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bob2o$3bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo$2ob4ob4ob4ob4ob4ob4ob4ob4ob4ob
4ob4ob4ob4ob4ob4ob4ob2o$bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo$bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo$2obo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob2o$
3b4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4o$2obo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob2o$bob
o2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob
o2bobo2bobo$bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob
o2bobo2bobo2bobo2bobo2bobo$2ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob
4ob4ob4ob2o$3bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bo$2obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bob2o$bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo$bob4ob4ob4ob4o
b4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4obo$2obo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob2o$3bo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo$3bo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bo$2ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob4ob2o$bobo2bo
bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo
bo2bobo$bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo
bo2bobo2bobo2bobo2bobo$2obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo
bo2bobo2bobo2bobo2bobo2bobo2bobo2bob2o$4b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o!

[MathAndCode]

EDIT by dvgrn: Yikes, this might be close to a new record number of Lifeviewer [viewer​] calls in a single post. The general recommendation is to please use [code​] tags instead, with rare exceptions -- e.g., when it's really useful to be able to see an illustration and its accompanying text at the same time.

I've added THUMBNAIL tags to reduce the amount of screen real estate a bit. Even so, a dozen of these a row is just way too much scrolling.

Here are some interesting loaf-involving reactions that I found:

Code: Select all

x = 9, y = 10, rule = B3/S23
4bo2$5b2o$4bo2bo$5bobo$6bo$2b2o$3bo$3o$o!

Code: Select all

x = 9, y = 10, rule = B3/S23
o2$b2o$o2bo$bobo$2bo$5b2o$5bo$6b3o$8bo!

Those first two have alternative activations:

Code: Select all

x = 8, y = 11, rule = B3/S23
2b3o$2b2o2$5b2o$4bo2bo$5bobo$6bo$2b2o$3bo$3o$o!

Code: Select all

x = 11, y = 11, rule = B3/S23
3o$2o2$3b2o$2bo2bo$3bobo$4bo$7b2o$7bo$8b3o$10bo!

Here are some more loaf-involving reactions:

Code: Select all

x = 16, y = 11, rule = B3/S23
14bo$13bo$13b3o3$2bo$bobo$o2bo$b2o8bo$10b2o$10bobo!
#C [[ T 17 PAUSE 0.5 ]]

Code: Select all

x = 6, y = 6, rule = B3/S23
o2$b2o$o2bo$bobo$2bo2bo!

Code: Select all

x = 16, y = 15, rule = LifeHistory
2$14.A$13.A$.2E10.3A$E2.E$.E.E$2.E5$10.2A$10.A.A$10.A!
#C [[ T 23 PAUSE 0.5 ]]

Code: Select all

x = 11, y = 12, rule = B3/S23
4bo$3bo$3b3o6$8bo$3o4bobo$2bo4bo2bo$bo6b2o!
#C [[ T 13 PAUSE 0.5 ]]

Here is a way to displace a boat flamingo-wise:

Code: Select all

x = 6, y = 5, rule = B3/S23
3o$2o$4bo$3bobo$4b2o!

It produces a spark to the south.
Here is an interesting reaction involving the twin bees shuttle:

Code: Select all

x = 271, y = 294, rule = B3/S23
270bo$268b2o$269b2o21$247bo$245b2o$246b2o21$224bo$222b2o$223b2o21$201bo$199b2o$200b2o21$178bo$176b2o$177b2o21$155bo$153b2o$154b2o21$132bo$130b2o$121bo9b2o$104b2o15b2o$104b2o16b2o$117b2o2b2o4$117b2o2b2o$104b2o16b2o$104b2o15b2o$121bo9b2o$130b2o$132bo21$154b2o$153b2o$155bo21$177b2o$176b2o$178bo21$200b2o$199b2o$201bo21$223b2o$222b2o$224bo21$246b2o$245b2o$247bo21$269b2o$268b2o$270bo!
#C [[ LOOP 92 ]]

There are at least three ways in which a block can eat a century.

Code: Select all

x = 8, y = 3, rule = LifeHistory
2.2A2.2E$3A3.2E$.A!

Code: Select all

x = 7, y = 5, rule = LifeHistory
2.2A$3A$.A$5.2E$5.2E!

Code: Select all

x = 8, y = 3, rule = LifeHistory
6.2A$2E2.3A$2E3.A!

A domino can pull a beehive and two blocks:

Code: Select all

x = 10, y = 7, rule = B3/S23
2o$2o$5b2o$4bo2b3o$5b2o$2o$2o!

If the blocks are one cell farther back, the reaction compensates.

Code: Select all

x = 11, y = 7, rule = B3/S23
2o$2o$6b2o$5bo2b3o$6b2o$2o$2o!

Here is another way to activate the reaction.

Code: Select all

x = 10, y = 7, rule = B3/S23
2o$2o6bo$5b2o2bo$4bo2bo$5b2o2bo$2o6bo$2o!

Here is a simple way to move a block:

Code: Select all

x = 6, y = 3, rule = B3/S23
o4bo$2b2o$2b2o!

This allows it to be pulled along by two spiders—in three possible ways.

Code: Select all

x = 133, y = 9, rule = B3/S23
6bo3b3o5b3o3bo14bo3b3o5b3o3bo$3b2ob5ob2o3b2ob5ob2o8b2ob5ob2o3b2ob5ob2o$bob2obo5bobobobo5bob2obo4bob2obo5bobobobo5bob2obo10bo3b3o5b3o3bo16bo3b3o5b3o3bo$o3bobo3b5ob5o3bobo3bo2bo3bobo3b5ob5o3bobo3bo6b2ob5ob2o3b2ob5ob2o10b2ob5ob2o3b2ob5ob2o$4b3o5b2o3b2o5b3o10b3o5b2o3b2o5b3o8bob2obo5bobobobo5bob2obo6bob2obo5bobobobo5bob2obo$bo2bob3o13b3obo2bo4bo2bob3o13b3obo2bo4bo3bobo3b5ob5o3bobo3bo4bo3bobo3b5ob5o3bobo3bo$3bo23bo3b2o3bo23bo3b2o5b3o5b2o3b2o5b3o5b2o5b3o5b2o3b2o5b3o$31b2o31b2o2bo2bob3o13b3obo2bo2b2o2bo2bob3o13b3obo2bo$70bo23bo10bo23bo!

I feel like this reaction is simple enough to probably be known already, but I also feel that the spider's wiki page would mention that it had a tagalong if any were known, especially such as versatile one, so I'm unsure.
This pattern almost repeats itself after seven and fourteen generators and could therefore possibly be made into an oscillator:

Code: Select all

x = 12, y = 6, rule = LifeHistory
5.2E$2E2.E2.E2.2E$2.E.E2.E.E$2.E.E2.E.E$2E2.E2.E2.2E$5.2E!
#C [[ T 7 PAUSE 1 T 14 PAUSE 1 ]]

Here is a p2 agar:

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x = 34, y = 34, rule = B3/S23
bo3bo3bo3bo3bo3bo3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo3bo$2bo3bo3bo3bo3bo3bo3bo3bo$3bo3bo3bo3bo3bo3bo3bo3bo$bo3bo3bo3bo3bo3bo3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo3bo$2bo3bo3bo3bo3bo3bo3bo3bo$3bo3bo3bo3bo3bo3bo3bo3bo$bo3bo3bo3bo3bo3bo3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo3bo$2bo3bo3bo3bo3bo3bo3bo3bo$3bo3bo3bo3bo3bo3bo3bo3bo$bo3bo3bo3bo3bo3bo3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo3bo$2bo3bo3bo3bo3bo3bo3bo3bo$3bo3bo3bo3bo3bo3bo3bo3bo$bo3bo3bo3bo3bo3bo3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo3bo$2bo3bo3bo3bo3bo3bo3bo3bo$3bo3bo3bo3bo3bo3bo3bo3bo$bo3bo3bo3bo3bo3bo3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo3bo$2bo3bo3bo3bo3bo3bo3bo3bo$3bo3bo3bo3bo3bo3bo3bo3bo$bo3bo3bo3bo3bo3bo3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo3bo$2bo3bo3bo3bo3bo3bo3bo3bo$3bo3bo3bo3bo3bo3bo3bo3bo$bo3bo3bo3bo3bo3bo3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo3bo$2bo3bo3bo3bo3bo3bo3bo3bo$3bo3bo3bo3bo3bo3bo3bo3bo$bo3bo3bo3bo3bo3bo3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo3bo!

I tried to find a c/2 spaceship where the leading edge always has an even number of cells instead of an odd number of cells. Here's my best partial:

Code: Select all

x = 18, y = 7, rule = B3/S23
o16bo$o16bo$2bo12bo$2bo5b2o5bo$4bob2o2b2obo$4bo8bo$6bob2obo!

It can be supported by 64P2H1V0, but I would argue that that's not a true example of what I was trying to find.

Code: Select all

x = 32, y = 8, rule = B3/S23
6bo18bo$5b3o16b3o$3b2ob3o14b3ob2o$4bo2bob2o4b2o4b2obo2bo$b2obo4bobob2o2b2obobo4bob2o$b2obobo2bobo8bobo2bobob2o$bo8b3obo2bob3o8bo$2o7b2o10b2o7b2o!

In B01245S01245, I found a class of stable and unstable spaceships that I call spearheaders. Most spearheaders are c/2 orthogonal—but there is a very interesting exception.

Code: Select all

x = 50, y = 4095, rule = B01245/S01245
4048$46b3o$45bobobo$45b5o$45b5o$47bo$47bo$46b3o$46bobo31$b3o20b3o$obobo18bobobo$5o17bob3obo$5o17b7o$b2obo17b7o$2bo19b7o$22b7o$22b7o$24b5o!

If you play the LifeViewer to when the spaceships going up go off the screen, you will see that the spearheader family includes a replicator.
I have also found another interesting class of patterns in another alternative rule. I don't know how to represent alternative neighborhoods in LIfeViewer—or even whether LifeViewer supports non-centered neighborhoods—so those who want to explore this pattern should do the following:

1. Go to this cellular automaton simulator
2. Change the text in the rule field to R4B678S346789, R4B678S456789, or R4B678S3456789
3. If the field is not already completely black/off/dead, click the button labeled Empty
4. Move the cursor onto the field, optimally near the top-left
5. Click and hold for several seconds, keeping the cursor in place
6. Move the cursor off of the field as quickly as possible while continuing to hold the mouse/trackpad down
7. Ensure that there is a perfect square of white/on/alive cells with no other white/on/alive cells near it (If not, click the button labeled Empty then try again; this may take a few tries.)
8. Release the mouse/trackpad, letting the simulation run
9. After the simulation has been running for one to three seconds, change the rulestring to R4B678S46789
10. Destroy any squids, minnows, or fat minnows by briefly passing the cursor over them without clicking (or alternatively, briefly changing the rulestring to R4B678S456789 then back to R4B678S46789)

I have attached a compressed folder with videos of this pattern (titled Marine).

[MathAndCode]

EDIT by dvgrn: Yikes, this might be close to a new record number of Lifeviewer [viewer​] calls in a single post. The general recommendation is to please use [code​] tags instead, with rare exceptions -- e.g., when it's really useful to be able to see an illustration and its accompanying text at the same time.

I've added THUMBNAIL tags to reduce the amount of screen real estate a bit. Even so, a dozen of these a row is just way too much scrolling.

I'm sorry for not using [code]; I am still very new here and do not know all of the conventions. Also, I suppose that this thread is more intended for users who have already been here for a while and therefore have only one interesting pattern that they just discovered to post (because they would have already posted any patterns that they had discovered previously earlier) than new users who have spent several months accumulating patterns and can only post any of them now because they did not have a forum account previously. I replace the [viewer] tags with [code] tags in that post as well as in this post.

[dvgrn]

I'm sorry for not using [code]; I am still very new here and do not know all of the conventions...

Not a problem at all! Great to have new people show up here who want to contribute. Long-term conwaylife.com forum dwellers tend to get kind of set in their ways, so you'll find that recommendations will show up occasionally about how best to share things ... with various degrees of politeness, depending on who is doing the recommending! This definitely isn't anything to worry about or apologize for -- just try out the recommendations (if they're any good).

Along these lines, you attached several movies to your previous post -- multiple megabytes for "Loaf reactions", for example. It's not likely that anyone around here will get much use out of those, because we would have to download those files, decompress, and then transcribe cell positions into some CA simulation software before we could do anything with them.

Instead of this, the way that the first loaf reaction would get communicated here would be something like

Code: Select all

x = 8, y = 10, rule = B3/S23
4bo2$5b2o$4bo2bo$5bobo$6bo$2b2o$3bo$3o$o!

... or if you want the animated-movie funcationality, you could do

Code: Select all

x = 8, y = 10, rule = B3/S23
4bo2$5b2o$4bo2bo$5bobo$6bo$2b2o$3bo$3o$o!
#C [[ AUTOSTART PAUSE 1 GPS 5 LOOP 15 ]]

This only takes a few bytes instead of 172K, and the pattern can be directly copied out and and pasted into Golly or wherever, if anyone wants to do that.

[MathAndCode]

I'm sorry for not using [code]; I am still very new here and do not know all of the conventions...

Along these lines, you attached several movies to your previous post -- multiple megabytes for "Loaf reactions", for example. It's not likely that anyone around here will get much use out of those, because we would have to download those files, decompress, and then transcribe cell positions into some CA simulation software before we could do anything with them.

I have removed the attachments and added the loaf and century reactions as LifeViewer forms. (I figured out how to add waypoints by comparing the LifeViewer and source code of H-to-MWSS.) I did not remove the videos for the rule that I have named Marine (due to the names squid, minnow, and fat minnow that I gave to the spaceships that I saw) because it uses a non-centered neighborhood, and I could not figure out how to encode that in LifeViewer. If you can figure it out, please tell me how to do it, and I will put the Marine patterns into LifeViewer.
By the way, what is the convention for responding to a moderator's comment in someone else's post? Should I have changed the name for the quote to dvgrn or kept it as mine?

[dvgrn]

By the way, what is the convention for responding to a moderator's comment in someone else's post? Should I have changed the name for the quote to dvgrn or kept it as mine?

There isn't really a convention, because it's something I try to do very rarely, and I don't think anyone has ever found my notes to be quoteworthy before. Either changing the attribution or keeping it the same would be fine.

What is the definition of a "non-centered neighborhood", for those squid/minnow rules -- R4B678S346789, etc.? There didn't seem to be an explanation available on the linked simulator website, and I wasn't quite motivated enough to try a deep dive into the source code.

Separate topic: to answer your question about blocks as spider tagalongs, the thing to look at is the Sokwe's jslife moving objects update. There's a file in there called spider-tagalongs.rle:

Code: Select all

#C Several tagalongs for the spider spaceship
#C Found by David Bell, Hartmut Holzwart, and Matthias Merzenich
x = 475, y = 225, rule = B3/S23
9bo7bo13b2o5b2o130bo7bo161bo7bo74bo7bo25bo7bo$3b2obobob2o3b2obobob2o6b
o2bo3bo3bo122b2obobob2o3b2obobob2o149b2obobob2o3b2obobob2o62b2obobob2o
3b2obobob2o13b2obobob2o3b2obobob2o$3obob3o9b3obob3o4b3obobo3bo119b3obo
b3o9b3obob3o143b3obob3o9b3obob3o56b3obob3o9b3obob3o7b3obob3o9b3obob3o$
o3bobo5bobo5bobo3bo2b3o2b2o5bo119bo3bobo5bobo5bobo3bo143bo3bobo5bobo5b
obo3bo56bo3bobo5bobo5bobo3bo7bo3bobo5bobo5bobo3bo$4b2o6bobo6b2o13b3ob
2o123b2o6bobo6b2o151b2o6bobo6b2o64b2o6bobo6b2o15b2o6bobo6b2o$b2o9bobo
9b2o15bo82bo3b3o5b3o3bo10bo8b2o9bobo9b2o145b2o9bobo9b2o58b2o9bobo9b2o
9b2o9bobo9b2o$b2ob2o15b2ob2o10bo3bo80b2ob5ob2o3b2ob5ob2o5bo2bo7b2ob2o
15b2ob2o145b2ob2o15b2ob2o58b2ob2o15b2ob2o9b2ob2o15b2ob2o$5bo15bo14bo2b
o79bob2obo5bobobobo5bob2obo3bo2bo3b2o6bo15bo145b2o6bo15bo66bo15bo6bo3b
o6bo15bo$118bo3bobo3b5ob5o3bobo3bobo4bo2b2o167b2o113b2ob2o$122b3o5b2o
3b2o5b3o5bo4bo4bo149bo10bo3bo$119bo2bob3o13b3obo2bo2bo158bobob2o6b2o4b
o$121bo23bo5bobob2o152bobo3bo2b2o7bo115bobo$156bo153b2obob5o2bo2bo116b
o3bo$309bo5bo2bo122bo2bo2bo$309bo2bo130b3o$36bobo404bobo$35b4o4b2o5b2o
5b2o252bo130bo3bo$9bo7bo13b2obo5bobo2bo3bo2bo3bo3bo249b3o126b2o7b2o$3b
2obobob2o3b2obobob2o6bobobo7b3o5b3obobo3bo249bo128b2o7b2o$3obob3o9b3ob
ob3o2b2obo3bo3b2o2b3ob3o2b2o5bo247bobo127b2o2b2ob2o2b2o$o3bobo5bobo5bo
bo3bo2b3obo2b4o15b3ob2o246bo2bo129b2o5b2o$4b2o6bobo6b2o7b2ob2o25bo246b
o129bo2b2obobob2o2bo$b2o9bobo9b2o29bo3bo246bo2bob2o125b2o2bo3bo2b2o$b
2ob2o15b2ob2o29bo2bo250bo$5bo15bo158bobo124b3ob2o$180bo2bo123b2ob3o$
122b2o5b2o5b2o5b2o34bo2bo$120bo3bo3bo2bo3bo2bo3bo3bo3bo8bo16bob2o129b
5o$120bo3bobob3o5b3obobo3bo3bo7bobo14b5o129b5o$120bo5b2o2b3ob3o2b2o5bo
3bo7bobo13bo2bo130bobo$120b2ob3o15b3ob2o5b2o2bo8bo10bo131b3o$120bo25bo
5bo2b3o2b2o3b2o4b2o3bo129b2obo$9bo7bo37bo7bo57bo3bo15bo3bo15bo4bo3b3o
132bob3o$3b2obobob2o3b2obobob2o25b2obobob2o3b2obobob2o52bo2bo15bo2bo8b
obo13bo4bo101bo7bo19bo3bo$3obob3o9b3obob3o6b2o3b2o6b3obob3o9b3obob3o
91b2o3b5o96b2obobob2o3b2obobob2o13bobo$o3bobo5bobo5bobo3bo6b2obob2o6bo
3bobo5bobo5bobo3bo91b3ob2o2bo94b3obob3o9b3obob3o8bo$4b2o6bobo6b2o6b3o
3bobo3b3o6b2o6bobo6b2o97bo100bo3bobo5bobo5bobo3bo6b2o$b2o9bobo9b2o21b
2o9bobo9b2o199b2o6bobo6b2o8bo$b2ob2o15b2ob2o4b2o9b2o4b2ob2o15b2ob2o
196b2o9bobo9b2o3b2o4bo$5bo15bo29bo15bo6bo193b2ob2o15b2ob2o6bobo166bo$
74b2o196bo15bo176b3obo$73bobo388bo$74b3o388b2o2bo$75b3o388bo2bo$75bo2b
o388b3o$75bobo392b2o$75bo386b3o4bo$75b2o387bo$76bo290b2o5b2o88bo2bobo$
73bobo255bo2bo19bo4b4obobobo5bobobob4o80b2o3bo$73bo256b2o2b2o8b3o6bobo
2b3obobob2obo3bob2obobob3o38bo7bo33bo3bo$72b2o253b2ob2o2b2ob2o5b3o11bo
3bobo13bobo3bo32b2obobob2o3b2obobob2o23b2o6bo$72b2o50bo7bo57bo7bo127bo
3b2o2b2o3bo12bo2bo3bob3o5b2ob2o5b3obo30b3obob3o9b3obob3o19bo2b2ob2o$9b
o7bo100b2obobob2o3b2obobob2o9bobo21bobo9b2obobob2o3b2obobob2o105bo10bo
4bobo8bobo2b8ob2o6b2o21b2o30bo3bobo5bobo5bobo3bo20bo3b3o$3b2obobob2o3b
2obobob2o91b3obob3o9b3obob3o5b2obobo17bobob2o5b3obob3o9b3obob3o101bobo
b2o6b2o22b2o2b3o7b5o15b5o34b2o6bobo6b2o29bobo$3obob3o9b3obob3o88bo3bob
o5bobo5bobo3bo3b2o4b2o17b2o4b2o3bo3bobo5bobo5bobo3bo101bobo3bo2b2o7bo
10bo11b2o10b2o15b2o34b2o9bobo9b2o5bo3bob2o10b2o2b2o$o3bobo5bobo5bobo3b
o92b2o6bobo6b2o6bo2b5o19b5o2bo6b2o6bobo6b2o106b2obob5o2bo2b2o12b2o74b
2ob2o15b2ob2o3bo2b4ob2o3bo7b6o$4b2o6bobo6b2o6b2obo83b2o9bobo9b2o7b2o
23b2o7b2o9bobo9b2o102bo5bo2bo100bo15bo6bo4bobo3b2obob3o8b2o$b2o9bobo9b
2o3b2o3b2o80b2ob2o15b2ob2o2bo2bo6b4o9b4o6bo2bo2b2ob2o15b2ob2o102bo2bo
130bobo2bo4bo5b2o5bobo2bo$b2ob2o15b2ob2o6bobobob2o80bo15bo6b2o9bob4o3b
4obo9b2o6bo15bo248b6o6bobo2bobo$5bo15bo14bob2o11bob3o3bo7bo85bo6bobo6b
o141bo139bobob2o5b3o3bo$34bo12b2obobo5bob2o3b2obobob2o79bo4bobobobo4bo
140b3o138b2o$40b2o4bobob2obo2b3o9b3obob3o77bo5bobo5bo141bo$36bobo7bo3b
o2b2obo5bobo5bobo3bo78b2o9b2o140bobo$37bob2o2bo3b3o12bobo6b2o84b2o5b2o
141bo2bo$40bo3bo2bobo12bobo9b2o80bo9bo140bo$41bo2bo26b2ob2o230bo2bob2o
$42bobo26bo84bobo5bobo142bo$155b3o7b3o139b3ob2o$307b2ob3o$154bo13bo$
155bo11bo141b5o$155bo11bo141b5o$308bobo$308b3o$306b2obo$305bob3o$276bo
7bo19bo3bo$270b2obobob2o3b2obobob2o13bobo$267b3obob3o9b3obob3o8bo$6bo
3b3o5b3o3bo16bo3b3o5b3o3bo207bo3bobo5bobo5bobo3bo6b2o$3b2ob5ob2o3b2ob
5ob2o10b2ob5ob2o3b2ob5ob2o208b2o6bobo6b2o8bo$bob2obo5bobobobo5bob2obo
6bob2obo5bobobobo5bob2obo203b2o9bobo9b2o3b2o4bo$o3bobo3b5ob5o3bobo3bo
4bo3bobo3b5ob5o3bobo3bo202b2ob2o15b2ob2o6bobo$4b3o5b2o3b2o5b3o5b2o5b3o
5b2o3b2o5b3o210bo15bo$bo2bob3o13b3obo2bo2b2o2bo2bob3o13b3obo2bo$3bo23b
o10bo23bo78bo7bo$135b2obobob2o3b2obobob2o$132b3obob3o9b3obob3o8b2o7b2o
b2o$132bo3bobo5bobo5bobo3bo7b3o3bo4bo3bo158bo7bo$136b2o6bobo6b2o8bo6b
2ob2o2bobobo152b2obobob2o3b2obobob2o$133b2o9bobo9b2o3b2o3bo3bo2bob2obo
152b3obob3o9b3obob3o$133b2ob2o15b2ob2o6bo8bo2bobo4bo147bo3bobo5bobo5bo
bo3bo$137bo15bo16bob2o9b2o150b2o6bobo6b2o$167b2o4bo3b2o2bo2b3o145b2o9b
obo9b2o$168bo3bo12b2ob2o142b2ob2o15b2ob2o$172bo15bo139b2o6bo15bo$6bo3b
3o5b3o3bo14b2o5b2o5b2o5b2o123bobo139b2o$3b2ob5ob2o3b2ob5ob2o9bo3bo3bo
2bo3bo2bo3bo3bo124bo121bo10bo3bo$bob2obo5bobobobo5bob2obo7bo3bobob3o5b
3obobo3bo121bo2bo120bobob2o6b2o4bo$o3bobo3b5ob5o3bobo3bo6bo5b2o2b3ob3o
2b2o5bo125bo119bobo3bo2b2o7bo$4b3o5b2o3b2o5b3o5b2o3b2ob3o15b3ob2o122bo
123b2obob5o2bo2bo$bo2bob3o13b3obo2bo2b2o3bo25bo122b4o119bo5bo2bo$3bo
23bo10bo3bo15bo3bo123bob2obo117bo2bo$39bo2bo15bo2bo124bo$191bo119bo$
187bo2bo119b3o$188bo121bo$308bobo$307bo2bo$307bo$141bo7bo156bo2bob2o$
135b2obobob2o3b2obobob2o153bo$132b3obob3o9b3obob3o148b3ob2o$6bo3b3o5b
3o3bo107bo3bobo5bobo5bobo3bo148b2ob3o$3b2ob5ob2o3b2ob5ob2o108b2o6bobo
6b2o$bob2obo5bobobobo5bob2obo103b2o9bobo9b2o151b5o$o3bobo3b5ob5o3bobo
3bo8b2o5b2o5b2o5b2o71b2ob2o15b2ob2o3b2o146b5o$4b3o5b2o3b2o5b3o5b2o3bo
3bo3bo2bo3bo2bo3bo3bo73bo15bo6b2o146bobo$bo2bob3o13b3obo2bo2b2o3bo3bob
ob3o5b3obobo3bo97bo2b2o142b3o$3bo23bo9bo5b2o2b3ob3o2b2o5bo98bobob2o
138b2obo$37b2ob3o15b3ob2o99bo2b2o111b3ob3o19bob3o$37bo25bo101b2o112b3o
bob2o17bo3bo$38bo3bo15bo3bo101b3o79bo3b3o5b3o3bo13bo4bob2o4bo12bobo$
39bo2bo15bo2bo104b2o75b2ob5ob2o3b2ob5ob2o17bo6bo9bo$241bob2obo5bobobob
o5bob2obo6bobo6bo2b3ob2o6b2o$164bo2bo72bo3bobo3b5ob5o3bobo3bo2bob3o8bo
bo3bo4b2o$163b2o2b2o75b3o5b2o3b2o5b3o5bob3o17bo2bo4bo$163b2o2b2o72bo2b
ob3o13b3obo2bo2bobo17bobo2bo3bo$165bo2bo74bo23bo26bo5$44b2o5b2o$36b4ob
obobo5bobobob4o$35b3obobob2obo3bob2obobob3o297bo7bo$6bo3b3o5b3o3bo10bo
3bobo13bobo3bo266bo24b2obobob2o3b2obobob2o$3b2ob5ob2o3b2ob5ob2o8bob3o
5b2ob2o5b3obo59bo5b2o5b2o5bo169bo10bo3b6o6b2o3b2o6b3obob3o9b3obob3o$bo
b2obo5bobobobo5bob2obo6b2o21b2o57bo2b2ob2o2bo3bo2b2ob2o2bo166bobob2o6b
2o7b3o5bobob2o6bo3bobo5bobo5bobo3bo$o3bobo3b5ob5o3bobo3bo5b5o15b5o55b
3o4bobo3bobo3bobo4b3o26bo3b3o5b3o3bo119bobo3bo2b2o7bob2obob2o2b2obo3b
3o6b2o6bobo6b2o$4b3o5b2o3b2o5b3o5b2o5b2o15b2o58b2o2bo2b3ob2o3b2ob3o2bo
2b2o23b2ob5ob2o3b2ob5ob2o117b2obob5o2bo2b3o4bobo2bo13b2o9bobo9b2o$bo2b
ob3o13b3obo2bo2b2o82b3o2b3o4bo3bo4b3o2b3o21bob2obo5bobobobo5bob2obo
114bo5bo2bo12b3o2b2o7b2o4b2ob2o15b2ob2o$3bo23bo89bobo2bo15bo2bobo10bo
8bo5bobo3b5ob5o3bobo3bo113bo2bo15b4o23bo15bo$118bo23bo3bo7b2o6b2obo3b
3o5b2o3b2o5b3o138bo$146bo5bo2b3o8bo2bob3o13b3obo2bo116bo$146bo5bob2o2b
obobo5bo23bo117b3o$148b2obo4bo5bo147bo$148b2o2b2o4b3o147bobo$307bo2bo$
307bo$306bo2bob2o$309bo$307b3ob2o$307b2ob3o2$309b5o$309b5o$308bobo$
125bo7bo57bo7bo108b3o$119b2obobob2o3b2obobob2o45b2obobob2o3b2obobob2o
100b2obo$116b3obob3o9b3obob3o39b3obob3o9b3obob3o96bob3o$6bo3b3o5b3o3bo
30bo3b3o5b3o3bo42bo3bobo5bobo5bobo3bo4b3o2b2ob2o4b3o4b2ob2o2b3o4bo3bob
o5bobo5bobo3bo67bo7bo19bo3bo$3b2ob5ob2o3b2ob5ob2o24b2ob5ob2o3b2ob5ob2o
43b2o6bobo6b2o9bo3bo4bo9bo4bo3bo9b2o6bobo6b2o65b2obobob2o3b2obobob2o
13bobo$bob2obo5bobobobo5bob2obo20bob2obo5bobobobo5bob2obo38b2o9bobo9b
2o3b2obo10bo5bo10bob2o3b2o9bobo9b2o59b3obob3o9b3obob3o8bo$o3bobo3b5ob
5o3bobo3bo18bo3bobo3b5ob5o3bobo3bo37b2ob2o15b2ob2o2b3obo5b2obobobobobo
bob2o5bob3o2b2ob2o15b2ob2o59bo3bobo5bobo5bobo3bo6b2o$4b3o5b2o3b2o5b3o
11b4o11b3o5b2o3b2o5b3o45bo15bo6b2o3bo2b2o6bo3bo6b2o2bo3b2o6bo15bo67b2o
6bobo6b2o8bo$bo2bob3o13b3obo2bo6bo6bo6bo2bob3o13b3obo2bo189b2o9bobo9b
2o3b2o4bo$3bo23bo3bo3bo3b2o3bo3bo3bo23bo191b2ob2o15b2ob2o6bobo$31b2o3b
obo2bobo3b2o223bo15bo$31bobobobo4bobobobo9$110b2o5b2o5b2o5b2o54b2o5b2o
5b2o5b2o$108bo3bo3bo2bo3bo2bo3bo3bo3bo8bo9b2o2b2o9bo8bo3bo3bo3bo2bo3bo
2bo3bo3bo$108bo3bobob3o5b3obobo3bo3bo7bobo7bo2b2o2bo7bobo7bo3bo3bobob
3o5b3obobo3bo$108bo5b2o2b3ob3o2b2o5bo3bo7bobo5bo4b2o4bo5bobo7bo3bo5b2o
2b3ob3o2b2o5bo$108b2ob3o15b3ob2o5b2o2bo8bobob2o2b2obobo8bo2b2o5b2ob3o
15b3ob2o78b2o5b2o$108bo25bo5bo2b3o2b2o4bo10bo4b2o2b3o2bo5bo25bo70b4obo
bobo5bobobob4o4bo$109bo3bo15bo3bo15bo4bo10bo4bo15bo3bo15bo3bo70b3obobo
b2obo3bob2obobob3o2bobo6b3o$67b2o5b2o5b2o5b2o20bo2bo15bo2bo8bobo9bo12b
o9bobo8bo2bo15bo2bo71bo3bobo13bobo3bo11b3o37bo7bo$65bo3bo3bo2bo3bo2bo
3bo3bo61bo12bo115bob3o5b2ob2o5b3obo3bo2bo14bo24b2obobob2o3b2obobob2o$
2b2o5b2o5b2o5b2o10b2o16bob2o8bo3bobob3o5b3obobo3bo190b2o21b2o6b2ob8ob
6o6b2o3b2o6b3obob3o9b3obob3o$o3bo3bo2bo3bo2bo3bo3bo7bobobo2b3o4b2o3bob
o2bo6bo5b2o2b3ob3o2b2o5bo190b5o15b5o7b3o2b2o9b3o5bobob2o6bo3bobo5bobo
5bobo3bo$o3bobob3o5b3obobo3bo3b3obobo2b3obo4bob2obobobo2bo4b2ob3o15b3o
b2o193b2o15b2o10b2o11bob2obob2o2b2obo3b3o6b2o6bobo6b2o$o5b2o2b3ob3o2b
2o5bo3b3o2b2o8bo4bo5bo3b2o3bo25bo233b3o4bobo2bo13b2o9bobo9b2o$2ob3o15b
3ob2o2b3o3b2o9b5o5bobo2bo4bo3bo15bo3bo240b3o2b2o7b2o4b2ob2o15b2ob2o$o
25bo2bo5b2o3bo3bo2bob3o4bo5bo4bo2bo15bo2bo238b4o23bo15bo$bo3bo15bo3bo
4bo10bo14bo3bobo267bo$2bo2bo15bo2bo5$145bo3bo20bo3b2o$144bobobob2o17bo
bobobo$116bo7bo18bo2bobo19bo2bob2o$110b2obobob2o3b2obobob2o13b2obo20b
5o29bo$107b3obob3o9b3obob3o8bo7bo3b2ob2o7bo8bobob5o9b2o2bo3b5o$107bo3b
obo5bobo5bobo3bo6b2o8b5o2b2o7bo8bo14b2obo2bobobo3bobo$111b2o6bobo6b2o
8bo13b2o2b2o4b2o2bo12bob3o2b3o3b2o6bobo2bo$108b2o9bobo9b2o3b2o4bo18b2o
22b4o5bo3bo4b2o$108b2ob2o15b2ob2o6bo19b2o23b3o8b2o4bob2o2b3o$112bo15bo
29bo25bo8bob2o3bo6bo$192bobobo10b7o$192bobo2b2o10bobo2bo$210b2o$56bo5b
2o5b2o5bo213b2o5b2o83b2o5b2o$44b4o6bo2b2ob2o2bo3bo2b2ob2o2bo132bo70b4o
bobobo5bobobob4o4bo57bo4b4obobobo5bobobob4o$2b2o5b2o5b2o5b2o12bo3b4o7b
3o4bobo3bobo3bobo4b3o132b2o66b3obobob2obo3bob2obobob3o2bobo6b3o37b3o6b
obo2b3obobob2obo3bob2obobob3o$o3bo3bo2bo3bo2bo3bo3bo9bo8b4o3b2o2bo2b3o
b2o3b2ob3o2bo2b2o132b2o66bo3bobo13bobo3bo11b3o37b3o11bo3bobo13bobo3bo$
o3bobob3o5b3obobo3bo10bobo3bo3bob2ob3o2b3o4bo3bo4b3o2b3o129b2o2b2o66bo
b3o5b2ob2o5b3obo3bo2bo14bo23bo14bo2bo3bob3o5b2ob2o5b3obo$o5b2o2b3ob3o
2b2o5bo3bo7b2o3bo4bo2b3obo2bo15bo2bobo132b2o68b2o21b2o6b2ob8ob6o6b2o3b
2o6b6ob8ob2o6b2o21b2o$2ob3o15b3ob2o3bo7b2o12bobo23bo131bob2o2bo65b5o
15b5o7b3o2b2o9b3o5bobobo5b3o9b2o2b3o7b5o15b5o$o25bo3bo3bo3bo2bo8b2o
159bo2b2o69b2o15b2o10b2o11bob2obob2o2b2ob2o2b2obob2obo11b2o10b2o15b2o$
bo3bo15bo3bo6bo2b2o3bo284b3o4bobo2bo5bo2bobo4b3o$2bo2bo15bo2bo7bo298b
3o2b2o5b2o2b3o$328b4o17b4o$330bo19bo!

[MathAndCode]

What is the definition of a "non-centered neighborhood", for those squid/minnow rules -- R4B678S346789, etc.? There didn't seem to be an explanation available on the linked simulator website, and I wasn't quite motivated enough to try a deep dive into the source code.

Its neighborhood is a 4×4 square. Because the side length is even, there is no way for a cell to be exactly in the center. Instead, each cell is affected by cells that are both between two cells above and one cell below it and between two cells to the left of it and one cell to the right of it, and each cell affects cells that are both between one cell above and two cells below it and between one cell to the left of it and two cells to the right of it. This is why spaceships and junk in that rule always move down and to the right. If you go to the cellular automaton simulator that I used, type R2B1 or R4B1 into the rule field, check that all of the cells are off, then move the cursor across the cell field so that a few cells are turned on, then you will see how the simulator treats square neighborhoods with even side length.

Separate topic: to answer your question about blocks as spider tagalongs, the thing to look at is the Sokwe's jslife moving objects update. There's a file in there called spider-tagalongs.rle:

Thank you for that link. I'll look there for any tagalongs that I find in the future.

By the way, I just found a spearheader that lasts 40216 generations before dying.

Code: Select all

x = 7, y = 6, rule = B01245/S01245
2b3o$bobobo$ob3obo$7o$7o$6o!

It starts with four eyes, but it goes down to three eyes around generation 38870 (just after birthing another three-eyed spearheader, which soon dies when from crashing into some debris that its parent had left) then two eyes around generation 39890. (Spearheaders with more eyes tend to be more stable, but they can have a maximum of four eyes. In fact, the two times that the spearheader loses the eye are because it tried to get three eyes on one side.) I don't know what the record is, but spearheaders might be able to compete for the longest-lived methuselahs in any outer-totalistic life-like cellular automata whose Moore neighborhood has a side length of three. Also, the spearheader birthed several other spearheaders before dying (although most died shortly afterward), so there might also be another replicator.


Also, unless you have anything to say about my discoveries or independent discoveries in Conway's Game of Life, we should probably move this discussion to the forum for alternative rules.

[Moosey]

What is the definition of a "non-centered neighborhood", for those squid/minnow rules -- R4B678S346789, etc.? There didn't seem to be an explanation available on the linked simulator website, and I wasn't quite motivated enough to try a deep dive into the source code.

Its neighborhood is a 4×4 square. Because the side length is even, there is no way for a cell to be exactly in the center. Instead, each cell is affected by cells that are both between two cells above and one cell below it and between two cells to the left of it and one cell to the right of it, and each cell affects cells that are both between one cell above and two cells below it and between one cell to the left of it and two cells to the right of it. This is why spaceships and junk in that rule always move down and to the right. <snip>

As it happens, LV supports a general version of that rulespace, since Build 549. Your neighborhood would be

Code: Select all

11110
11110
11c10
11110
00000

= hex(111101111011101111000000) = F7BBC0 I think:

Code: Select all

x = 1, y = 1, rule = R2,C2,S,B1,N@f7bbc0
o!