Close life variants

[Saka]

Can someone post the rule table for life with all symmetries expanded? (it helps)

[M. I. Wright]

Well...

YES! I knew there had to be something like this given how sparky the p160 is, but the best I'd found were useless suicidal SL creators.
Seriously, this is awesome.

Since Ts for now look like the 'standard' gliders in this rule, here's a 3T synthesis of the honey farm alternative:

Code: Select all

x = 10, y = 7, rule = tlife
4b3o$5bo2$o$2o$o7bo$7b3o!

I feel like there should be a 2T synth of Life's glider, but I've got nothing for now.

Saka, here's a rotate4reflect table; I'll make a rotate8 one tomorrow. (edit: oops, I misunderstood what you meant by 'expanded')

Code: Select all

@RULE LifeRot4refl
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
1,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,1
1,1,0,1,0,0,0,0,0,1
1,1,0,0,1,0,0,0,0,1
1,1,0,0,0,1,0,0,0,1
1,0,1,0,1,0,0,0,0,1
1,0,1,0,0,0,1,0,0,1
1,1,1,1,0,0,0,0,0,1
1,1,1,0,1,0,0,0,0,1
1,1,1,0,0,1,0,0,0,1
1,1,1,0,0,0,1,0,0,1
1,1,1,0,0,0,0,1,0,1
1,1,1,0,0,0,0,0,1,1
1,1,0,1,0,1,0,0,0,1
1,1,0,1,0,0,1,0,0,1
1,1,0,0,1,0,1,0,0,1
1,0,1,0,1,0,1,0,0,1
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,1,0,0,1,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,1,0,0
1,0,1,0,1,0,1,0,1,0
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0

I just noticed I didn't actually post the rule in my last post, but I can't seem to find it now... :s

edit: 45 degree reflector!

Code: Select all

x = 44, y = 22, rule = tlife
41bo$40bo$41b3o$42bo2$2bo$2b2o$obo$bo10$3bo$2bobo$b2o$2bo!

[Saka]

Saka, here's a rotate4reflect table; I'll make a rotate8 one tomorrow.

Code: Select all

@RULE LifeRot4refl
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
1,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,1
1,1,0,1,0,0,0,0,0,1
1,1,0,0,1,0,0,0,0,1
1,1,0,0,0,1,0,0,0,1
1,0,1,0,1,0,0,0,0,1
1,0,1,0,0,0,1,0,0,1
1,1,1,1,0,0,0,0,0,1
1,1,1,0,1,0,0,0,0,1
1,1,1,0,0,1,0,0,0,1
1,1,1,0,0,0,1,0,0,1
1,1,1,0,0,0,0,1,0,1
1,1,1,0,0,0,0,0,1,1
1,1,0,1,0,1,0,0,0,1
1,1,0,1,0,0,1,0,0,1
1,1,0,0,1,0,1,0,0,1
1,0,1,0,1,0,1,0,0,1
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,1,0,0,1,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,1,0,0
1,0,1,0,1,0,1,0,1,0
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0

I just noticed I didn't actually post the rule in my last post, but I can't seem to find it now... :s

Thanks! But I was hoping for no symmetries (none)...

[Saka]

Anyway...
A rule that I named with a random keyboard stroke:

Code: Select all

@RULE xvaLifeg
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
1,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,1
1,1,0,1,0,0,0,0,0,1
1,1,0,0,1,0,0,0,0,1
1,1,0,0,0,1,0,0,0,1
1,0,1,0,1,0,0,0,0,1
1,0,1,0,0,0,1,0,0,1
1,1,1,1,0,0,0,0,0,1
1,1,1,0,1,0,0,0,0,1
1,1,1,0,0,1,0,0,0,1
1,1,1,0,0,0,1,0,0,1
1,1,1,0,0,0,0,1,0,1
1,1,1,0,0,0,0,0,1,1
1,1,0,1,0,1,0,0,0,1
1,1,0,1,0,0,1,0,0,1
1,1,0,0,1,0,1,0,0,1
1,0,1,0,1,0,1,0,0,1
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,1,0,0,1,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,1,0,0
1,0,1,0,1,0,1,0,1,0
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0
0,1,0,0,0,0,0,1,0,1

In this rule, patterns are very chaotic, the new spaceships are:

Code: Select all

x = 2, y = 3, rule = xvaLifeg
2o$o$2o!

and

Code: Select all

x = 7, y = 4, rule = xvaLifeg
2bobo$2bobo$obobobo$3ob3o!

[gmc_nxtman]

Nice! Here are some oscillators and predecessors in olife:

Code: Select all

#C Up boat w/tail, Mirror table, Beacon p5, P10 flipper, P12 flipper, Antlers, P4
x = 110, y = 11, rule = olife
46bo44bo$67bo7b2ob2o10bo8bobo6b2o$3o6bo38bo11b2o4bo7bob3o11bo18bo$o8b
2o23b2o12b2o10b2o4b2o6bo5b2o8b3o6bo2bo3bo$o2bo6b2o22bo2b2o8bobo14b2o
10b2obo21b2o3b2o$b3o5b2o7b2o2b2o11bo2bo8bo16b3o10bo2bo6b2o$18b5o12b3o
9b2o15b2o23bo$17bo4bo43bo18b2o$18b3o45bo20b2o$18b2o68b2o$66bo!

All of these objects are quite common.

[Saka]

There's this thing (spaceship) in xvaLifeg that looks like a bookend...

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x = 7, y = 6, rule = xvaLifeg
bo3bo$obobobo$obobobo$2bobo$2bobo$b2ob2o!

Combo!

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x = 7, y = 4, rule = xvaLifeg
3ob3o$obobobo$4bo$4bo!

Super combo?

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x = 15, y = 7, rule = xvaLifeg
3ob3ob3ob3o$obobobobobobobo$4bobobobo$4bobobobo$6bobo$6bobo$5b2ob2o!

[gameoflifeboy]

Anyway...
A rule that I named with a random keyboard stroke:

Code: Select all

@RULE xvaLifeg
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
1,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,1
1,1,0,1,0,0,0,0,0,1
1,1,0,0,1,0,0,0,0,1
1,1,0,0,0,1,0,0,0,1
1,0,1,0,1,0,0,0,0,1
1,0,1,0,0,0,1,0,0,1
1,1,1,1,0,0,0,0,0,1
1,1,1,0,1,0,0,0,0,1
1,1,1,0,0,1,0,0,0,1
1,1,1,0,0,0,1,0,0,1
1,1,1,0,0,0,0,1,0,1
1,1,1,0,0,0,0,0,1,1
1,1,0,1,0,1,0,0,0,1
1,1,0,1,0,0,1,0,0,1
1,1,0,0,1,0,1,0,0,1
1,0,1,0,1,0,1,0,0,1
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,1,0,0,1,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,1,0,0
1,0,1,0,1,0,1,0,1,0
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0
0,1,0,0,0,0,0,1,0,1

I think I studied this rule once. Is the only difference from regular life that two adjacent orthogonal neighbors can give birth to a cell?

[Saka]

Anyway...
A rule that I named with a random keyboard stroke:

Code: Select all

@RULE xvaLifeg
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
1,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,1
1,1,0,1,0,0,0,0,0,1
1,1,0,0,1,0,0,0,0,1
1,1,0,0,0,1,0,0,0,1
1,0,1,0,1,0,0,0,0,1
1,0,1,0,0,0,1,0,0,1
1,1,1,1,0,0,0,0,0,1
1,1,1,0,1,0,0,0,0,1
1,1,1,0,0,1,0,0,0,1
1,1,1,0,0,0,1,0,0,1
1,1,1,0,0,0,0,1,0,1
1,1,1,0,0,0,0,0,1,1
1,1,0,1,0,1,0,0,0,1
1,1,0,1,0,0,1,0,0,1
1,1,0,0,1,0,1,0,0,1
1,0,1,0,1,0,1,0,0,1
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,1,0,0,1,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,1,0,0
1,0,1,0,1,0,1,0,1,0
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0 
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0
0,1,0,0,0,0,0,1,0,1

I think I studied this rule once. Is the only difference from regular life that two adjacent orthogonal neighbors can give birth to a cell?

The only different transition is:

Code: Select all

0,1,0,0,0,0,0,1,1

[M. I. Wright]

Some stuff in hlife3/

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#C rightmost thing is from a soup
x = 73, y = 36, rule = hlife3
70b2o$69bob2o$67bobo$23bo43b3o$23bo44bo$21b3o$65bo$25b3o36b2o$25bo34bo
b3o$25bo32bo2bo2$60bo$21bo$21bo$19b3o2bo$22b3o$22b3o7$8bo35bo$8b3o18bo
14b3o$9bo19b3o13bo$2o28bo$2o6$25b2o12b2o$24bo2bo10bo2bo$25b2o12b2o!

and a (transparent) beehive can eat a T in olife.

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x = 5, y = 8, rule = olife
3bo$2bobo$2bobo$3bo3$bo$3o!

Does tlife have a stable T eater? There are plenty of ways the p160 can eat one.

Code: Select all

x = 71, y = 9, rule = tlife
69bo$42bo25b3o$16bo24b3o23bo$15b3o22bo27bo$14bo26bo13bo$15bo12bo26b2o$
b2o23b3o26bo$3o25bo$b2o!

edit: The beehive->T was accidental, but it might lead to a p320 reflector - here's an almost-working one.

Code: Select all

x = 18, y = 22, rule = tlife
16bo$15b3o$14bo$15bo$b2o$3o$b2o12$7bo$6b3o$5bo$6bo!

Also this (useless because there's already a p160 one - and I'm pretty sure there's also a p160 90-degree reflector)

Code: Select all

x = 23, y = 59, rule = tlife
21bo$20b3o$19bo$20bo$6b2o$5b3o$6b2o8$3b2o$5bo$3b2obo$3bo2bobo$2b2o5bo$
2bo5bo$3bo$3b2ob2o$5bo14$16bo$15b3o$14bo$15bo$b2o$3o$b2o13$4bo$3b3o$2b
o$3bo!

edit: other 45-degree reflector (G->T)

Code: Select all

x = 14, y = 20, rule = tlife
o$b2o9b2o$2o10bo$10bobo$10b2o12$5bo$6bo$3b3o$4bo!

...which led to these reflectors!

Code: Select all

x = 54, y = 55, rule = tlife
52bo$52b2o$50bobo$9bo41bo$8b3o$11bo$10bo14$10bo$9bo$10b3o$11bo13$2o$bo
$bobo$2b2o13$7bo$8b3o$8b3o!

Code: Select all

x = 54, y = 52, rule = tlife
50bo$48bo2bo$47bo3b2o$47bo3bo$46bo2bo2bo$47b2o2b3o$47bo2bo$49bo2bo$48b
ob2o3$7bo$4bob2obo$3b3obo2bo$2bo5bobo$6bo2bo$3bo3bo2bo$4b2ob2o$6bo4$
16bo$14b2ob2o$12bo2bo3bo$13bo2bo$12bobo5bo$12bo2bob3o$13bob2obo$15bo
12$2o$2o$2o$2bo4$15b2o$15bo$16b3o$18bo!

[BlinkerSpawn]

Here's a p160 glider gun.
It's not too good at inserting (other glider must be 39-75 ticks ahead for same-lane pairs), but it's the most feasible option currently.
Could a "new-glider" gun potentially be made from this and the new T gun?

Code: Select all

x = 191, y = 131, rule = tlife
189b2o34$49bo$48bobo$50b2o$50bo18$43bo2bo$44bobo$43b3o11b3o$56bobo$56b
o2bo19$21bobo$22b2o$23bo$21b2o2$bo$o$b3o$2bo5$24b2o$23bo$23b2o$23bobo
3$69b2o$68b2o$70bo19$91bo$90bobo$90bo8$100b2o$99b2o$101bo!

[M. I. Wright]

This works.

Code: Select all

x = 59, y = 87, rule = tlife
55b2o$53bo3bo$13b2o37b2o$11bo3bo36bo5bo$10bo4b2o35b3o3bo$10bo5bo36b2ob
2o$14b3o37b3o$11b2ob2o$12b3o$46bo$44b3o$46bo9$12b3o$11b2ob2o$10b3o$10b
o5bo$10b2o4bo$11bo3bo$12b2o12$13bo$12bo$12b3o8$5bo$4b3o9$18bo$16b3o$
14bo2bo$15b2obo$14b2o2$3b2o$ob2o$bo2bo$3o$o14$3b2o$6bo$4bob2o$7bo$7bo!

honeycomb/wasp nest synthesis:

Code: Select all

x = 11, y = 17, rule = tlife
9bo$8bo$8b3o10$bo$bo$obo2$bo!

This may lead to a p160 c/2 gun:

Code: Select all

x = 11, y = 17, rule = tlife
9bo$8bo$8b3o12$3o$bo$bo!

edit:uncompacted T edgeshooter using your glider gun:

Code: Select all

x = 87, y = 153, rule = tlife
32b2o$31bo2bo$33bobo$32bo2b3o$32b2o2b2o$32bob2obo$32b2ob2o$10b2o21b3o$
8b2ob3obo$8bo4bobo$7bo6bo$8bo3b2o19b3o$8bo23b2ob2o$10bobo18bob2obo$11b
o19b2o2b2o$31b3o2bo$33bobo$34bo2bo$35b2o5$41bo$40bo$40b3o9$55bo11b3o$
54bo2b4o5bob2o$54bobobob2o3b3ob2o$55bo3bobo3bobo3bo$56b2ob3o3b2obobobo
$57b2obo5b4o2bo$57b3o11bo16$63b2o$62bo$61bob2o$59bobo2bo$58bo5b2o$59bo
5bo$64bo$bo58b2ob2o$o61bo$3o$84b2o$83bo2bo$41bo41b3o$40bobo41bo$40bob
2o$41b2o3$73bo$71bo2b2o$73bo$4bo$3bobo$2b2obo$2bo2$11bo$9b2o2bo$11bo3$
42b2o$9b2o30b2obo$8b2o32bobo$10bo32bo12$43bo$43bobo$43b2o11$33b3o$34bo
$34bo6$27b2o$27b3o16b2o$46bobo$24bo20b2obo$24bo5b2ob2o9bo2bo$29b3ob2o
7b2ob3o$29bo2bo9b2ob2o5bo$28bob2o20bo$28bobo$29b2o16b3o$48b2o6$40b2o$
40b2o$39bo3bo$42bo$39b2o$40b2o$41b2o$34b3o3bo$33bo3b2o2b2o$33bobo$35bo
b2o$36bo$36b3o$37b2o!

Could be made smaller if the p160 can convert a T to a forward glider.

[gmc_nxtman]

Five-glider synthesis of the bee ship:

Code: Select all

x = 14, y = 24, rule = tlife
13bo$11b2o$12b2o8$7bo$7bobo$7b2o$5bo$4b2o$4bobo3$2bo$obo$b2o$4bo$4b2o$
3bobo!

[praosylen]

Mazing variant in alife:

Code: Select all

x = 18, y = 7, rule = alife
2b2o9b2o$3bobo8bobo$o5bo4bo5bo$2o3bo5b2obobo2$bobo8bobo$2bo10bo!

[BlinkerSpawn]

Far better inserter:

Code: Select all

x = 66, y = 53, rule = tlife
62bo$61bo$61b3o2$58bo$57bo$58b2o4$23bo$23b2o$21bobo$22bo23b2o5bo$45b3o
4b3o$46b2o$o$b3o$b3o5$24bo$23bobo$22b2o40b2o$23bo39bo$63b2o$63bobo2$
49bobo$50b2o$51bo$49b2o16$53bo$52bo$53b3o$54bo!

And a simpler T edgeshooter:

Code: Select all

x = 68, y = 164, rule = tlife
61bo2bo$61bobo$62b3o3$21bobo$22b2o$23bo$21b2o23bo$46b2o$bo44bo$o$b3o$
2bo5$24b2o$23bo$23b2o$23bobo4$36bo$34b2o$35b2o109$37b3o$37bo$38bo4$26b
o$25b2o$26bobo$27bo5$4b3o$4b3o$3bo$49b2o$48b3o$25bo23b2o$24bobo$26b2o$
26bo2$66bo$65b3o$64bo$65bo!

[gmc_nxtman]

Here's the 3 phases of the hat ship, if anyone's interested:

Code: Select all

x = 33, y = 5, rule = B/S012345678
9bo13bo$2bo7bo5bo7bo4b3o$bobo3b2o2bo3b3o3b2o2bo3bobo$bobo6bo4bobo6bo$
2ob2o4bo4b2ob2o4bo4b2ob2o!

I can't seem to make a rule that supports this, though...

[praosylen]

4 slow T-ships make a p160:

Code: Select all

x = 25, y = 98, rule = tlife
9$5b2o$5b2o6$5bo$4b3o30$12bo$11b3o19$15bo$14b3o19$15bo$14b3o!

Edit: And two slow gliders on the same lane:

Code: Select all

x = 26, y = 22, rule = tlife
$6b2o$5b2o$2b2o3bo$2b2o14$23b2o$22b2o$24bo!

[M. I. Wright]

Ooh, I like those guns - I'd somehow missed that 2-glider->T collision.
Should I make a new topic for tlife? I feel like discussion of it is starting to take over this thread..

In the meantime, though, this is a way to shoot an arbitrarily distant T glider:

Code: Select all

x = 18, y = 28, rule = tlife
2o3b2o2$o5bo$b2ob2o$2b3o6$15b3o$16bo15$4b3o$5bo!

Beehive pusher/shuttle:

Code: Select all

x = 191, y = 350, rule = tlife
2o5bo$6b2o$o2bo2bobo$4bobobo31bo4bobo$2bob2ob2o38bo$2b2o34bo3b2o$38bo
3bo2bo$o42b2o$43bo$2b2o5bobo32b3o$8bo2bo31bo2b2o19b2o$9bobo31b3o15b2o
4bobo$67bobo$65bobob2o$63bob5o$63b3o2$43b3o$41b2o2bo$42b3o$45bo$44b2o$
43bo2bo3bo$45b2o3bo$41bo$41bobo4bo15$46bo$47bo$45b3o16$90bo$89bobo$89b
obo$90bo3$94bo$93b3o7$101bo$100b3o2$96bo$95b3o4$86bo$87bo$85bo$89bo$
87bob2o$88bo10$185bo$94bo88b2ob2o$93b3o86bo3b2o$182bo5b2o$182bo3bob2o$
190bo$184bo3b2o$184b2o2b2o$143bo41bobo$101bo39b2ob2o$100b3o20b3o15b2ob
2o$122b2ob2o12b2o5bo$96bo24bo2b3o12b2obo$95b3o22bobo2bob2o9bo6b2o$126b
4o9bo4b2o16bobo$126bo2bo9bo22bo2bo$123b2o2b3o10b3o19bobo$123b6o$123b3o
bo4$150b3o$153bo$147b2o4bo12bo$146b2o6bo9b2o$150bob2o11b2o$146bo5b2o$
48b2o97b2ob2o$49b2o96b2ob2o$48bo100bo3$94bo$93b3o7$101bo$100b3o2$50bob
o43bo$44b2o7bo41b3o$44b3o3bo$46b3o5bo$46bo2bo2b2o$47b2o2$45b3o18b2o$
45bo2bo$45bo2bo15bo$47bo$66b2o$66bob2ob2o$68bobobo$47bo16bo2bo2bobo$
12b2o32bo2bo20b2o$5bo6b3o31bo2bo14b2o5bo$3bo2bo5b2o33b3o$2bo3bo$46b2o$
2bobo36b2o2bo2bo77bo$6bo33bo5b3o45bo29b2o$5bobo2b2o32bo3b3o42b3o29b2o$
5bobobo2bo28bo7b2o$4b3o2bo32bobo$3b2o4b3o$3b2o3$101bo$100b3o2$96bo$11b
obo81b3o$11bobo$12b2o$17bo$8bobo4bo2bo$7bo7bobo$8bob2o$9b2o2bo$11bo$
11b3o41bo$54bobo$53bo18bob2o$53b2obo16b2o$51b2obo4b2o$51bo6bo19b2o$22b
obo26bobo4b3o7b2ob2o4bo$21bo2bo44bob2o$22bobo30b2o13bo2bo$72bobo$55bob
o14b2o$46bo9bo16bo20bo$45bobo45b3o2$46b2o2$42b3o4bobo$44bo6bo$42b2o4bo
b2o$46bob2o$49bo$46bobo$47bo48bo$95b3o24b2o$122bobo$122bo5$46bo$44bobo
$45b2o11$94bo$93b3o10$96bo$95b3o5$145b3o$144b2ob2o$143bo5bo$144bob2ob
2o11b2o$143b5o2bo11bobo$147b4o11bo$147b3o$148bo3$86bo$84bobo34bobo$85b
2o33b2o2b2o$120bo3b2o12bo21b2o$126bo10b3o19b3o$94bo23bo3bob2o10b4o20b
2o$93b3o22bo5b2o10bo2b5o$118bo3b2o12b2ob2obo$119b2ob2o13bo5bo$121bo16b
2ob2o$139b3o$182bobo$182b2obo$182bo2b2o$182b2o2bo$180b4ob2o$179b3o3bo$
88bo91b2ob2o$88b2o91b3o$87bobo9$91b2o11bo$90bob2o9b3o$90bo3bo7bo3bo$
91b3o9b2obo$92bo11b2o18$97b2o$95b2o2bo$95b2ob2o$95b2ob2o$97bo3$48bo$
48b2o$47bobo9$49b3o$49b3o$50b2o$45b2o6bo$45b2o5b3o$46bo5b2o$47bo$49bo$
48b3o$48b3o2$58b3o14b3o$58b3o14bo$25b2o32bo13b2o2bo$25b3o33bo10bob2o$
25b2o28b2o5bo8bo7bobo$54b3o5b2o8bobo4bo2bo$55bo6b2o17bo$57b2o17b2o$57b
3o15bobo$57b3o15bobo$15bo$14b3o$15b2o$11b3o$11b3o5b2o$11b2o5b3o$19b2o$
17bo$14b3o$14b2o!

Bi-beehive pusher:

Code: Select all

x = 107, y = 162, rule = tlife
b2o$ob2o$obo$bo$40b2o$39bo2bo$40b3o$18bo22bo$16b2o2bo$18bo$62b3o$61bo
2bo$61bob2o$62bo4$41bo$40b3o$40bo2bo$41b2o5$30bo$28bobo$29b2o26$86b2o
3b2o$85bo2bobo2bo$86b2o3b2o5$85b3o3b3o$85b3o3b3o$86bo5bo3$70bo$68bobo$
69b2o23$105bo$88bo16b2o$87bobo13bobo$86b2o16bo$72bo14bo$72b2o$71bobo
14$93b3o$93b3o$96bo22$32bo$32b2o$31bobo5$44b2o$44b2o$44b2o$43bo4$65bo$
64bobo$64bob2o$65b2o$20bobo$19bo2bo$20bobo22bo$43b2o$43b2o$43b2o2$3b3o
$3b3o$6bo!

Doubles as a vacuum, although the only thing it can pull is these two blocks (it can convert another block arrangement into pullable blocks as in 3b2o$3b2o3$2o$2o6$bo5bo$3o3b3o!, but they're one cell off)

Code: Select all

x = 107, y = 162, rule = tlife
b2o$ob2o$obo$bo$40b2o$39bo2bo$40b3o$18bo22bo$16b2o2bo$18bo$62b3o$61bo
2bo$61bob2o$62bo4$41bo$40b3o$40bo2bo$41b2o5$30bo$28bobo$29b2o27$86b2o
3b2o$86b2o3b2o5$85b3o3b3o$85b3o3b3o$86bo5bo3$70bo$68bobo$69b2o23$105bo
$88bo16b2o$87bobo13bobo$86b2o16bo$72bo14bo$72b2o$71bobo14$93b3o$93b3o$
96bo22$32bo$32b2o$31bobo5$44b2o$44b2o$44b2o$43bo4$65bo$64bobo$64bob2o$
65b2o$20bobo$19bo2bo$20bobo22bo$43b2o$43b2o$43b2o2$3b3o$3b3o$6bo!

[BlinkerSpawn]

Should I make a new topic for tlife? I feel like discussion of it is starting to take over this thread..

Yeah, that might be a good idea.
Here's a barge synthesis and an 8G synth of... something...

Code: Select all

x = 29, y = 38, rule = tlife
26bobo$26b2o$27bo2$22b3o$22bo$23bo3$27bo$26bo$26b3o2$2bo$2o$b2o$26b2o$
25b2o$9bo17bo$7b2o12bo$8b2o12b2o$3bo17b2o$2b2o$2bobo3$20b3o$22bo$21bo
3$25bo$26bo$24b3o2$21bo$21b2o$20bobo!

[M. I. Wright]

Should I make a new topic for tlife? I feel like discussion of it is starting to take over this thread..

Yeah, that might be a good idea.
Here's a barge synthesis and an 8G synth of... something...

Code: Select all

x = 29, y = 38, rule = tlife
26bobo$26b2o$27bo2$22b3o$22bo$23bo3$27bo$26bo$26b3o2$2bo$2o$b2o$26b2o$
25b2o$9bo17bo$7b2o12bo$8b2o12b2o$3bo17b2o$2b2o$2bobo3$20b3o$22bo$21bo
3$25bo$26bo$24b3o2$21bo$21b2o$20bobo!

Done.

That still life is neat; I just realized that you can string together an infinite number of blocks (because the beacon is no longer an oscillator), and that some of the blocks can be replaced with dominoes as in your still life.

[gameoflifeboy]

All still lives 13 cells or less in "xvaLifeg":

Code: Select all

x = 257, y = 8, rule = xvaLifeg
2o8b2o8b2o8bo2bo6b2o8b2o8b2o8bo2bo6bo2bo6bo2bo6bo2bo6bo2bo6bo2bo6bo2bo
6bo2bo8bob2o4bo2bo11b2o7b2o4bob2o6b2obo6b2obo6b2o10b2o6b2ob2o5b2ob2obo
$2o8bo9bo9b4o6bo9bo9bo9b4o6b4o6b4o6b4o6b4o6b4o6b4o6b4o8b2obo4b4o9bo2bo
5bo2bo4b2obo6bob2o6bob2o6bo9bo2bo7bobo2bo4bobob2o$12bo8bo20bo9bo8bo22b
2o64b2o21b2o7b2o9bob2o7b2o8b2obo4bo7b2obob2o4bo3b2o4bo$11b2o7b2o8b2o9b
2o8b2o7b2o8b4o8bo2bo6b2o8b4o6b2o8b2o8b2o8b2o7bo10b2o7b2o7b2o11b2obo7bo
2bo6bob2o3b2o10bo2bo5bo9bo$30b2o9bo9bo8bo9bo2bo8b2o8bo2bo6bo2bo4bo2bo
9bo8bo10bo6bo11bo9bo8bo24b2o15b2o8b2o6b2o8b2o$42bo10bo7bo32b2o14b2o9bo
12bo7bo7b2o11bo6bo9bo42bo$41b2o9b2o6b2o59b2o10b2o7b2o18b2o6b2o8b2o43bo
$224b2o!

Any still life in this rule is also a still life in Life. So far, many more still lives have even numbers of cells than odd ones.

[gameoflifeboy]

C/5 spaceship can shift C/14 diagonal spaceship in hlife3:

Code: Select all

x = 22, y = 12, rule = hlife3
21bo$20b2o$21bo6$2bo$4o$3bo$3o!

[Saka]

A rule:

Code: Select all

@RULE LAR-GrKids

@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate8reflect
var a={1,2}
var b={a}
var c={b}
var d={c}
var e={d}
var f={e}
var g={f}
var h={g}
var a1={0,1,2}
var b1={a1}
var c1={b1}
var d1={c1}
var e1={d1}
var f1={e1}
var g1={f1}
var h1={g1}
1,0,0,0,0,0,0,0,0,2
1,a,0,0,0,0,0,0,0,2
1,a,b,c,d,0,0,0,0,2
1,a,b,c,d,e,0,0,0,2
1,a,b,c,d,e,f,0,0,2
1,a,b,c,d,e,f,g,0,2
1,a,b,c,d,e,f,g,h,2
2,a1,b1,c1,d1,e1,f1,g1,h1,0
0,a,b,c,0,0,0,0,0,1

(LAR stands for Life with Aged Reproduction)
Wickstretchers are VERY common, here is a wickstretcher based glider:

Code: Select all

x = 6, y = 5, rule = LAR-GrKids
2.A$.A.B$2A$.A.A.A$2.A.A!

A "real" glider:

Code: Select all

x = 3, y = 4, rule = LAR-GrKids
2A$BAB$ABA$.A!

Adjustable gun:

Code: Select all

x = 21, y = 11, rule = LAR-GrKids
19.2A$19.2A$15.2A$15.5A$15.AB2.A2$4.A.A.2A.A3.2A$3.A.A.A2.A.A2.2A$2A.
A3.4A.A$2A.A.A.A2.A.A.2A$4.A.A.2A.A2.2A!

EDIT:
And does 23/3/3 count?
I found this glider:

Code: Select all

x = 6, y = 5, rule = 23/3/3
.3A$.2A.A$A3.2A$.2A.A$.3A!

[gameoflifeboy]

I found this glider:

Code: Select all

x = 6, y = 5, rule = 23/3/3
.3A$.2A.A$A3.2A$.2A.A$.3A!

Ah - the Ericship. I found that one a few years ago. There's also this one:

Code: Select all

x = 5, y = 6, rule = 23/3/3
3.A$2.3A$.A.2A$2A.A$.2AB$2.A!

[M. I. Wright]

This rule is 23/3-n in Alan Hensel's notation; in other words, the only difference from Life is that a dead cell stays dead if its neighbors match this configuration:

Code: Select all

#C [[ VIEWONLY ]]
x = 18, y = 3, rule = LifeHistory
3F2.FDF2.2FD2.2DF$DBD2.FBF2.DBD2.FBF$D2F2.F2D2.3F2.FDF!

Code: Select all

@RULE dlife
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,0
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
1,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,1
1,1,0,1,0,0,0,0,0,1
1,1,0,0,1,0,0,0,0,1
1,1,0,0,0,1,0,0,0,1
1,0,1,0,1,0,0,0,0,1
1,0,1,0,0,0,1,0,0,1
1,1,1,1,0,0,0,0,0,1
1,1,1,0,1,0,0,0,0,1
1,1,1,0,0,1,0,0,0,1
1,1,1,0,0,0,1,0,0,1
1,1,1,0,0,0,0,1,0,1
1,1,1,0,0,0,0,0,1,1
1,1,0,1,0,1,0,0,0,1
1,1,0,1,0,0,1,0,0,1
1,1,0,0,1,0,1,0,0,1
1,0,1,0,1,0,1,0,0,1
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,1,0,0,1,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,1,0,0
1,0,1,0,1,0,1,0,1,0
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0

It was made to allow still-lifes like this (and it does)

Code: Select all

x = 5, y = 4, rule = dlife
3b2o$2bobo$obo$2o!

...but the biggest surprise was that it has a natural 31c/118 diagonal switch-engine-like puffer:

Code: Select all

x = 4, y = 4, rule = dlife
2o$b2o$2b2o$b2o!

There's probably a cordership-esque way of stabilizing it into a spaceship.
Complex still-lifes are very common, as are 'extension' reactions for still-lifes; for instance, this reaction came up in a soup:

Code: Select all

x = 14, y = 21, rule = dlife
3o2$2b2o$3bo$3bo$3bo$3bo7b2o$3bo6bo2bo$11b2o10$10bo$9b3o$8bo2b2o!

Also common are inducting still-lifes (table-on-whatever) or trivial SL-on-SL combinations.

There are also a few common reactions like B and pi heptominoes, which edgeshoots two TLs; this thing -

Code: Select all

x = 3, y = 5, rule = dlife
bo$bo$obo2$3o!

- which becomes two pis, the Lumps of Muck reaction (which also becomes two pis, but they interact to form debris); the queen bee, which becomes a symmetric constellation of four beehives, two blocks and a blinker; and plenty of others.

The glider unfortunately doesn't work, but all of the *WSSs do - although I have yet to see one from a soup (I saw an almost-HWSS once, but its belly spark got messed up while it was forming and it self-destructed).

[praosylen]

The glider unfortunately doesn't work, but all of the *WSSs do - although I have yet to see one from a soup (I saw an almost-HWSS once, but its belly spark got messed up while it was forming and it self-destructed).

Here's a pattern that becomes a LWSS and a loaf:

Code: Select all

x = 6, y = 8, rule = dlife
2bo2$3b3o2$3b2o$2o2bo$b3o$2bo!

Edit: The Schick Engine is a puffer that produces pairs of loaves:

Code: Select all

x = 9, y = 9, rule = dlife
3o3b3o$o2bobo2bo$o7bo$o7bo$bobobobo2$4bo$3b3o$3b3o!