B3678/S235678 (Stains) found patterns - infinite growth

[Naszvadi]

In 2000 or 1999, do not know by heart. Published at university presentation (ELTE, Hungary). Found several patterns and connections, one of them is:

Code: Select all

#Life 1.05
#R 235678/3678
#P
..............
.**.*.*.**....
..*******.....
.*********....
..**********..
.************.
..**********..
.*********....
..*******.....
.****.*.**....
..***.........
.****.........
..**..........
.****.........
..***.........
.****.*.**....
..*******.....
.*********....
..**********..
.************.
..**********..
.*********....
..*******.....
.**.*.*.**....
..............

EDIT: typo in subject

[Naszvadi]

More results from the previous century:

Code: Select all

#CXRLE Pos=0,0
x = 21, y = 161, rule = B3678/S235678
2ob2o$b3o$5o$b6o$8o$b6o$5o$b3o$2ob2o6$2obobobobobobob2o$b15o$18o$b17ob
o$21o$b17obo$18o$b15o$13o2b2o$b12o$3o2b6o$bo3bobo$2o8bo6$2obo$b3obob2o
$8o$b8o$11o$b11o$11o$b8o$8o$b4o2b2o$2ob2o6$2obobobob2o$b9o$11o$b12o$
14o$b12o$11o$b9o$6obob2o$b4o$5o$b3o$3o$b3o$5o$b4o$6obob2o$b9o$11o$b12o
$14o$b12o$11o$b9o$2obobobob2o6$2obobob2o$b7o$9o$b10o$12o$b10o$9o$b7o$
4obob2o$b3o$4o$b2o$4o$b3o$4obob2o$b7o$9o$b10o$12o$b10o$9o$b7o$2obobob
2o6$2obobobobob2o$b11o$13o$b14o$16o$b14o$13o$b11o$5o2bobob2o$b4o$5o$b
2o$5o$b2o$5o$b4o$5o2bobob2o$b11o$13o$b14o$16o$b14o$13o$b11o$2obobobobo
b2o6$2obobobobob2o$b11o$13o$b14o$16o$b14o$13o$b11o$5o2bobob2o$b4o$5o$b
3o$3o$b3o$5o$b4o$5o2bobob2o$b11o$13o$b14o$16o$b14o$13o$b11o$2obobobobo
b2o!

Who fill find a spacefiller or a quarter spacefiller first? Quadratic growth is still open question in this rule.

[Naszvadi]

Some words about Stains rule here: http://wayback.archive.org/web/20071117 ... _life.html

[SuperSupermario24]

In the future, put your patterns in

Code: Select all

tags like so:

Code: Select all

#CXRLE Pos=0,0
x = 21, y = 161, rule = B3678/S235678
2ob2o$b3o$5o$b6o$8o$b6o$5o$b3o$2ob2o6$2obobobobobobob2o$b15o$18o$b17ob
o$21o$b17obo$18o$b15o$13o2b2o$b12o$3o2b6o$bo3bobo$2o8bo6$2obo$b3obob2o
$8o$b8o$11o$b11o$11o$b8o$8o$b4o2b2o$2ob2o6$2obobobob2o$b9o$11o$b12o$
14o$b12o$11o$b9o$6obob2o$b4o$5o$b3o$3o$b3o$5o$b4o$6obob2o$b9o$11o$b12o
$14o$b12o$11o$b9o$2obobobob2o6$2obobob2o$b7o$9o$b10o$12o$b10o$9o$b7o$
4obob2o$b3o$4o$b2o$4o$b3o$4obob2o$b7o$9o$b10o$12o$b10o$9o$b7o$2obobob
2o6$2obobobobob2o$b11o$13o$b14o$16o$b14o$13o$b11o$5o2bobob2o$b4o$5o$b
2o$5o$b2o$5o$b4o$5o2bobob2o$b11o$13o$b14o$16o$b14o$13o$b11o$2obobobobo
b2o6$2obobobobob2o$b11o$13o$b14o$16o$b14o$13o$b11o$5o2bobob2o$b4o$5o$b
3o$3o$b3o$5o$b4o$5o2bobob2o$b11o$13o$b14o$16o$b14o$13o$b11o$2obobobobo
b2o!

That way, you can select the whole pattern with an easy link, as well as open up the pattern in LifeViewer.

[lifeisawesome]

I wonder if a 2c/5 spaceship could be made from one of these.

[Naszvadi]

Some new patterns:

Code: Select all

x = 87, y = 124, rule = B3678/S235678
2obobobobobob2o$b15o$17o$b18o$17obo$b18o$17o$b15o$b10o2b2o$11o$b10o$
11o$b10o2b2o$b15o$17o$b18o$17obo$b18o$17o$b15o$2obobobobobob2o4$2obobo
bobobobobobobobobobobobobobobobobobobobobobobobobobo3bo$b61o3bo$67o$b
66o$69o$b67obo$69o$b66o$67o$b63obo$62o$b22o2b8o2b8o2b8o2b4ob2o$22o3bob
o2b2o3bobo2b2o3bobo2b2o3bo2b2o$b17ob3o8b2o8b2o8b2o$15o$b14o$17o$b15o$
16o$b14obo$14o$b13o6b2o8b2o8b2o8b2o$15o2bo2b2o3bobo2b2o3bobo2b2o3bobo
2b2o3bo2b2o$b22o2b8o2b8o2b8o2b4ob2o$62o$b63obo$67o$b66o$69o$b67obo$69o
$b66o$67o$b61o3bo$2obobobobobobobobobobobobobobobobobobobobobobobobobo
bobobo3bo4$2obobobobobobob2o$b15o$17o$b17obo$20o$b17obo$17o$b15o$14ob
2o$b7o3b2o$7o$b5o$b5o$7o$b7o3b2o$14ob2o$b15o$17o$b17obo$20o$b17obo$17o
$b15o$2obobobobobobob2o4$obobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobo3bo$79o3bo$b83o$84o$b85o$85obo$b85o$84o$
b83o$79o3bo$b77o$22o2b8o2b8o2b8o2b8o2b8o2b3o$b13o2bo2b2o3bobo2b2o3bobo
2b2o3bobo2b2o3bobo2b2o3bobo2b2o3b2o$13o6b2o8b2o8b2o8b2o8b2o8b2o$b11obo
$8ob3o$b7o$5o$b7o$8ob3o$b11obo$13o6b2o8b2o8b2o8b2o8b2o8b2o$b13o2bo2b2o
3bobo2b2o3bobo2b2o3bobo2b2o3bobo2b2o3bobo2b2o3b2o$22o2b8o2b8o2b8o2b8o
2b8o2b3o$b77o$79o3bo$b83o$84o$b85o$85obo$b85o$84o$b83o$79o3bo$obobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo
!

[Naszvadi]

Can someone help me extending the wiki entry here with the fact of solving the infinite growth problem? And the smallest ( && earliest ) pattern for proof? -> http://conwaylife.com/w/index.php?title=Stains

[Naszvadi]

New 2c/6 (c/3, period 6) and its soup:

Code: Select all

x = 8, y = 6, rule = B3678/S235678
2b4o$bob2obo$ob4obo$8o$b6o$2ob2ob2o!

Soup:

Code: Select all

x = 100, y = 100, rule = B3678/S235678
2o3b3obob3o2bobo3b8o2b3o5b2o4b5o3b2o2bobo2bob7obo2bob2o3b5o2b3obob4o$
2o2bo5bob5ob3obob4ob3ob3ob4o2bo3bob3o2bo4bo2bo4bo2b2o2b2ob2o3b3o3b2o2b
o3bo$obo2b3obo2bo3b3obob3ob2ob4obobob2o4b4obobo3b4o4bobo2b2obob2obo3bo
b4o3bob2obobo$b2o2bo3bo2b5obo2b2o3bobobo2bob2o2bob3obo3bob2o2bob4o2bo
2b2o2bobobo2b2o2b2ob2obo3b2ob4o$bobob2o2bo2bo9bob5o2bobo2bobobo2b3o3b
3o3b3o2b2obo2bob2o5bobob2o3b3obo3b4o3bo$13b5obo2b3ob5obo2b2ob3ob2o2b2o
5b4o2bob2o2b3o4b2o2b4ob3o3b2obob2obobobo$obob2o2bobo4bo5bobobo2b4obo3b
2o2b2o3bobo8b2ob6o4bo2b2ob3o2bob3ob5o2bo4bo$bo2b2obo2b2obo2bob2obo2bob
obo3bo2b7ob4ob2o2b2obobo2b2ob2obo2b2o2b2obo3b3o2b2ob3o5bob2o$2obobobo
5bo2bob4obobo3bob4o4bo3bo6b2o2b5o3bo2b8ob3o3bo3bo2bo3b3ob2o2bo$2bo3b2o
3bo3b2obobobo2bobob2o2b2o2b2o3bo6b2o2bo2bo3bo2bo3bo7bob2o5b6o2b4ob2o$
4o3b2ob3ob3o2bo2b5obobob2ob3obo2b2o3bo5bob3ob2obo2b4o4bo2bobo2b2obo2b
2o4bo2b3o$2b2obobobo4b2ob2obo2bob4o3b2obo4bo9b4obobob3ob2obo2bo2bob2o
4bo2b3ob4o2bo2bo2bo$2b4obo2bo3b2o2b5o5bob2ob2obo2b3o2bo2bo2b2o2bob3o2b
5o2b3o2b3o2b2o2b4o5bo2b2o2b2o$2bo2bo2b2obob3obo3bob4o2bob2ob6o2b2ob4ob
4o3b2o3b3o3b2o4b2o2bo3b2o2bob3o2bobob3o$bo2bo2bo2b2o3bo2bo2bo4b3o2bobo
4b2o2b4ob2o4bobo3b2ob2obob4o2b2o4bo2b8o4b2ob3o$bo2bo2b5o5b3ob7obo5bob
2o3b3o3b2o4bob2ob3obob4o2bo8b3o2bob3o3b4obo$2b4obo2b4o2b6obo3b3o2b2o3b
ob4o3bob2o4bob2o3b4obo4b2ob2obo2bo4bo3b2ob6obo$3bobo2bob3o4bob2ob2ob2o
b4o3bob2o4b3obo3b2obobob2obobo2b4obobobo4bo3b2o2b3ob2o5bo$ob3o2b2obobo
2b3o4bo4b2o4b3o3bob2o6b2obob2obobo2bobo4bo2bo2b4o2b3o2bobobobob2obo$bo
b2obo2bo3bo2b2obob2o3b2obo2b6ob3obobob2o2b2ob2o2bo3b2o2bob4ob3o8b2ob2o
b3o4b3o$2obobo2bob2ob2ob2o4bo4b2o4b2obob3o4b3obobobo4b2o2bo2bo3b2ob2ob
o3b6obo3b2ob6o$bobobo2bob4ob5ob4obobob4o2bo3b2o6b10o2b2obo2bo2b3o2bob
2obob3obobob8o$8obo2b4o4bobobobo2bo2bo2bo3bob3o4bobobo4b7o2bo4bobo3bo
3bo2bobo2b3o4bobo$o5bobob3ob8ob2o2b3o4b3o2b2o2b2o3bo2bo2bo2b4o7b4o4b2o
bo2b2ob2obobobobobob2o$obo5bo2b2ob2obobo3b2o2bobob2ob4o2bob2o2b2ob3o2b
obo2b2o3b2ob2obobo2b3o5bob5o2bo3bo$o4bob2o2bobo3b2o2bob3o2b2ob2o3bo2bo
bobo3bo3b6ob2ob2obobo2b2obo2b5o2b2o2bobo6bo3bo$3ob6o2bo2bo2bob3o8b5o6b
2ob4obo2b2o2bo4b5o3bo4b2ob2obo2b3obobobo6bo$7obobo6b2o2b2obo2b5obob2o
2b2obob8o2bob4ob3ob4o2bobo2b3obobob7o2bo2bobo$2bob2o2bobobo2bobo2b2o6b
o2bo2bob2ob3o2bo4b2ob4obo3b4o3b3o2bob3o3b2o2bob3o3bobobobo$3ob2obob3ob
ob2o2bo3bobob4o3b3o2b3ob3o5bobo2bo2b3obo4bo3b4ob2obob2ob2obo4b4o$2b2ob
3o2bob2o2bo2bo2b2o5bobo2b5ob2ob2o2bob6o4bobob2o4b7o2bo4bob3obobo3b2obo
$b2o2bo5b9obobob2obo2bob3o2bobo2bo2bo7b3obo4bo3bobobob2o2b2ob2obobob2o
2b2o3bob2o$obo2b2ob4o3bobo2b6ob3o3bo2b8o3bobob3obo2b6ob3ob5o4b2o2bob2o
bobob3o5bo$3bobobo2b2obobobo2bobo2b2o2bob3obo2bo2bo3bo4b2ob2obobo3bo2b
8o2b3ob2o7bo5b3obo$ob4obob2o4b2o3b2o3b2obob3o2b3o5bobo3bo3bo6bob2obo2b
2obob4o4b2ob2ob3o3bob2ob2o$3b2o2bob2obob2obob5o2b9o3b4o2b5ob2ob5o7bob
4o5bo2bo2b3o2bobobo3b2obo$5ob2ob5o3bo2b2ob3obob3o3bobobo2bo3b2o2b2ob3o
4bobo2b2o2b4o2bo2b8o2bo2b7o$ob3ob4ob4ob3obo2b2o2bobo3b2ob3obobo3bobob
2o4bobo4bo3bo2b3obobo2bob4ob2o2b3ob3obo$obo3b4o2bob3o4bo3b3ob2ob2o2b2o
b2ob2obo3bobo2bo4bo3b2o4bobo2b2obob3o3bo2bob2o3b4o$bo2b2o2bobob3ob2ob
2obob2obo3b2o4bo7b6o2b3o2b3obo2bob3o4b5o2bob4obo3bo3bo$b2o3b4ob2o2bobo
bo4bo2bobob2obob2o2bo2bob2o4bo2b3o2bobo2bo4bo2b3obobobo2b2o4b2o2b3o2b
2o$3ob6ob2o2bobo2b5o2b2o2bob5ob2o4b2ob3ob2o2b6o3bob2o3bobobobob2o2b2ob
o2b5o2bo$ob4ob2o4bo3bobob2ob2ob3o4bo5b2obobo2b2obo3bo2b2o2bobo4b2ob2o
2b4o5bo4bo3bo3b2o$3bo2bob3ob2o2bo2b5o3b4ob2ob2ob2obob4obob2ob2obo3bo3b
3o2bobob7ob8o2bob2obobo$2o3b2o3bo2bobo3b2ob3ob5o2bob2ob3o2bo3b3obo4bob
2ob2o4b2o2bo4bob2ob7o2bo4b4o$ob5ob2obob6o3b5o2bo4bo4b2o2bo3bobo4b2obob
obobobo2bobobo4b3o6bo3bobobo3b2o$b3ob2obobobobo2b3ob8obob2o3bob4obob2o
bo2b3obo3bo2bob3ob6o3b4obo2b2o2b2obobobo$3b2obo3bobo2b2ob3ob3o2bo2b5ob
2o3b2obo2b3o3bo5b4o2bo4bobobo6b2o2b3o2b6obo$5o4b3o2b3o2bob4o4bobobobob
o2bo6b2o2bob6obo3b6o2bob9o2b2o5bobo3bo$b6o4bob5o6b2ob2obo5b2ob3o2b2o2b
2obo2b4o2b2obob2ob3o2bo3b2o2b2o2b3o2b4o2b3o$2o2bo4b2obob4obo6b2o3bo3bo
b2o2bobo7b3ob4o4b4obobob6ob3o4bo3b7ob2o$3b2o2b4obo2b4obo2b3o2bob2obobo
2b3o3bo2bobo4b2o4bo2bo2b2ob2obo2b2obo2b9o5bob2o$ob2ob2obob2ob2ob5o2bo
2bob3obo2bo2bobobo3bob3o2bob4ob5ob3o4b6obo4b2o3bob2o$obobobo2b4obo2bo
3b5ob3o2b5o2b2o2b4o5b3o2bo4bo2b3ob3obo3b2ob2o2b3obobo2b2o$ob2obo2bo3bo
b4o3b2obo3bo3bob2o2bo3b2o3bo3bobob5ob3o3bobo2b3o4b4o2bobobo3b3o3bo$3ob
obob2o5bo4b5o3bo6b2obo2b2ob3ob2o2b2o3bo4b2o2b3ob2o2b2ob2o2bo6b3o3b2o$o
3b2obo3bo2b5ob3obobobo2bobo6b3ob9o2bobob2ob3obo2b2obob2ob2o2bo3b3ob5o
3b2o$o2bo2bo3b2o2b5obo5bo2b3o3b2ob2o2bo3bobo2bo7bobob2o2b4ob3ob3o4b2ob
ob8o2bo$3o2bob5ob2o2bo3bo2b2obob2o2bobo2b3o2bob3ob3o2bo4bo6bob3obob2o
3b6o2b2o2b4obobo$4b4ob3o2bob3obobo4b2o2bob2o2bob2o2bobobo2bo6bob2o2b2o
3b2o2bo3b3o5bobobobobobobo2bo$4o2bo6b3obobo2bob4obo2bo3b2o3bob2ob7obob
ob2ob2obo2bo3bobo3b3o6b2obob2o$4obo3b2obob4obobob2o3bob2o2b3o2b3o3b2ob
ob2o3b2o2b2obob2obobob2o2bobobo6b2o3b2o2bo2bo$3b4obo2bo4bo3bo3bo5b2o3b
o2b2obob2ob2obo4bo3bo2b2o2b4obobobo4b2ob2obo2bo2b5obo$3b2o7bo4bob2ob2o
b2o4bob4obobo2bobob2obob3o5b3o4b8ob3ob3o5b5o3bob2o$bob3ob2ob2obo2bob4o
bob2ob2ob2ob2ob2o2b5ob2o6b3o3b2obo3b3o3b2obo2bobobo3b2ob4o4bo$ob5ob4o
3b3o3b4o3b4obo2bobob4o3bob4o5bo2bob3ob4ob2o3b2ob2o4b2o4b2obob3o$ob2ob
8o2bob2o2b2o3bo3bobo5bob2obo3bobo2bob3obo6bobobob4o2bobo3bob4ob2o3b5o$
2b3o4bobo2b2o3bo3bob2o4bobo2bob2o2bob3obob4o2bobobo3bobo5b2o4b3o2b2o2b
3o2b3obob2o$2b3o2b2o6b2o3b2o4bobobob3o2b3ob3o2b2o7bobobobo2bo4b3o2b3o
6bob2ob3o2b2ob2o$2obo4b2obobo3b3ob4o2b3o2b3o2b3o2bo2b4o3bob3obo8bo3b2o
b2ob2o4bo4bo2b2o2bobo$2bo3b2o4bob6obob7o4bob2o2bobo3bobo3b3obob4ob2ob
4o2bo2bo2bobob2obobobo3b2ob2o$bo2bo4bobo4bo3b2ob2ob3o4b2ob2obo5b2obobo
3bo3bobobob3obob4obo2b4o2bo2b2o2bo6bo$o2bo4bo4b3ob2ob2obo4bo3b2o4b4o
11b5o2b3ob2ob5o4b2o2bo2b2ob2o4b2o2bobo$3ob3obob2o2b3o2bo2bo6b3o2bo3bob
o3bo2bo2bobo2bob2obobobobo6b5ob4o3b4o3bob2o$2o3bo2b3o2b2ob2o2bo2bob3ob
ob3ob2o4bobo4bo7b3o2bo2b2o3b3ob2o2bobo2bob4obo3bob3o$4o2bob6ob3o2bo2b
6o2bo2bo2bob2ob4o2bo2bo3b2ob2obo4b2o2b5o2bobobob4obo2bo2b3ob2o$bobobob
obo3b2ob4o2bo3bo3b2o2bo2bob3o5b5ob2o5b2o2b3o2bo2b4obo2b3obobo2b3ob3obo
$bobob5o3b5o3bob2obob2obo2bo7bob3ob3obobo2b3ob2ob2obo2bobobo6b7ob4o2bo
2b2o$2b4ob2o3bo2bob2ob2obobobo2b5obob2ob2ob2o9b5o4b2o3bo2bob2obob3ob4o
b3obo3bob2o$bobo3bob2obobob3o2b2obob3obob3o3bobob2o3bo4b3ob4ob5o3b4obo
2bob3o2bo3b2o2bob5o$2b3o2bob5o7b2obo6bo4bobo2b2ob2obobobo3bo5b3obo2b3o
bo2bo3b10o6bo$2bobobobobob6ob3obo2b4o2bo2bo3bob2o2b2obob3ob2o2b3o2bob
7o2bobobo4bob2ob2o5bo2bo$2b7o2bo2bobo3b11obo4b2o2b3o2bo3b2obob3ob3o2b
3obo2b2ob2o7b2o4b4o3b3o$4ob2ob3ob4obob5ob2obo2b2ob4o2b2obobob4obo2bob
2o9b3o2bob3o2b4o2b2o5bo5bo$2bobobob3obobob2obob4o2bobobo3b2ob2ob2ob3o
2bo3b3ob3o5bo2bo3bo3bo3bo5b2ob4o2b2o$2ob2obob2o2bob3obo2b6ob3obob6ob4o
b2ob6o3b3ob2ob2ob3obo2b2ob2ob2ob3o2bo2b3ob2obo$bo2b3o2b2ob2o4b2obo3b2o
bobobob2obo2bobob3o4bo3b3o2bob7obob2ob3ob2obo3bo3b2o4bo$2ob3o2bo4b2o2b
o5bo3b4obobobo2bobobo3b3obobobo2b2ob2obob3obo4b3o2b8ob2obob2ob3o$11obo
3bo4bobobob2o3b3ob2ob5o4bobo4b3o5bob4o2b2obobob4o3b4o3bobobo2bo$bobob
2o2bob5o2bo2bobo2b2obo3bob2ob3obobob2o2b2o2b5o3b2o3b4o2b5o2b2obob2obo
2bob2obo2bo$3bo3bo3bobob4o2bob2obobo2b4obo2b3o4b2o2bo7b3ob2obobobo2bob
2o4bo2bob2ob2ob2ob2obo$4bob2o3b2ob2o2bobobo4bo2bo4b5o3b4ob3ob2o2bobo2b
o4b2ob2o2bobo2b3o2bob3ob5o3b2o$obo2b2o2bobo2b2o2bo4b2o8b3obob2o3b3o5bo
b3obo2bo2b2o3b2o3bo3b3o2b5obobo4b3o$2obob2o2bo6b3o2b2o2bobob3obo3bobob
o3b2o2bo2b2ob2o2bo3b2o3bo2bob2o2b2obo2bob5o2bo2bobo$bobo4bobob10o2b2o
2bo4b2o2bo2b2ob2obo2b4o4b2ob3o2b2obobob2o2bo6b2o3bobo2bo4bo$2b4o3b2obo
bob2obob2o2b2ob4obo2b2o4b4obo2b2obo2bob2o2b3ob2o3b2o2b4o3bob2ob2obo2b
3obobo$4o3b2obo3b3ob2o3bobo2b2o2b3obob2ob2ob6o2bobo7bobo3bobo2bo3b2o2b
o3b3obo2bo2b2ob2o$2bob2o2bobo3b2ob2o5bo2b4obo2bo4bo2b2obo2bob2o5b2o4bo
bo4bobob3obobo3b2o3b2o2b2o$o5bo2b2ob3o5b2ob2o5b5o2bo5b3ob3ob4ob2o3bo6b
o3bobo5bo2b4o2b3o2bob3o$ob3o4b2obob3o2b6obob2obo5b2ob5o4b2obo2b2ob3o2b
2o2bo4bo2b2obo2b2obob2o2b3o3b3o!

There is a 3c/7 infinite growth, I will post it later with its discoverer.

[Naszvadi]

...
There is a 3c/7 infinite growth, I will post it later with its discoverer.

Credits to velcrorex: ../forums/viewtopic.php?f=11&t=376&start=350#p33772

[velcrorex]

c/4 infinite growth, possibly new.

Code: Select all

x = 13, y = 57, rule = B3678/S235678
6bo$6bo$3b7o$2bob5obo$2bob5obo$3b7o$3b7o$2b9o$bo4bo4bo$2bo3bo3bo$2bobo
3bobo$6bo$3b7o$bobob3obobo$2bo2b3o2bo$b2obo3bob2o$b3ob3ob3o$2b9o$13o$b
11o$13o$b11o$13o$b11o$13o$b11o$13o$b11o$13o$b11o$13o$b11o$13o$b11o$13o
$b11o$13o$b11o$13o$b11o$13o$b11o$13o$b11o$13o$b11o$13o$b11o$13o$b11o$
13o$b11o$13o$b11o$13o$b11o$13o!

[Naszvadi]

c/4 infinite growth, possibly new.

Code: Select all

rle

Great! Will be added to wiki. Note that c/4 velocity is known in this rule: http://fano.ics.uci.edu/ca/rules/b3678s235678/g6.html

[Naszvadi]

New asymmetric head with old velocity:

Code: Select all

x = 9, y = 16, rule = B3678/S235678
3b3o$4bo$3b2o$ob5o$7o$b7o$7o$b8o$8o$2b7o$b7o$2b7o$2b5obo$4b2o$4bo$3b3o!

[Naszvadi]

New 2c/6 (c/3, period 6) and its soup:

Code: Select all

x = 8, y = 6, rule = B3678/S235678
2b4o$bob2obo$ob4obo$8o$b6o$2ob2ob2o!

Soup:

Code: Select all

soup rle

There is a 3c/7 infinite growth, I will post it later with its discoverer.

Right angle turn and splitter:

Code: Select all

x = 344, y = 706, rule = B3678/S235678
330b2o$330b2o3$330b2o$330b2o3$330b2o$330b2o3$330b2o$330b2o3$330b2o$
330b2o3$330b2o$330b2o3$330b2o$330b2o3$330b2o$330b2o5$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$289bo40b2o$288bobo39b2o$289bobo$290bobo37b2o$
291bobo36b2o$292bobo$293bobo34b2o$294bobo33b2o$36b2o257bobo$36b2o258bo
bo31b2o$297bobo30b2o$36b2o260bobo$obobobobobobobobobobobobo2bo4b2o2b2o
261bobo28b2o$27obo3b2o266bobo27b2o$b27o273bobo$b29o272bobo13bo11b2o$b
29o3b2o16b2o250bobo11bobo10b2o$b27o5b2o16b2o251bobo11bobo$27obo276bobo
11bobo$obobobobobobobobobobobobo2bo23b2o253bobo11bobo$51b2o254bobo11bo
bo$308b2o12b2o$333b2o$333b2o$253bobobobobobobobobobobobobo2bo$78b2o
173b27obo$78b2o174b27o$254b29o53b2o4b2o$254b29o53b2o4b2o$254b27o$253b
27obo$253bobobobobobobobobobobobobo2bo$78b2o4b2o247b2o$78b2o4bo248b2o$
308b2o12b2o$307bobo11bobo$306bobo11bobo$305bobo11bobo$304bobo11bobo$
303bobo11bobo10b2o$302bobo13bo11b2o$301bobo$300bobo27b2o$299bobo28b2o$
298bobo$297bobo30b2o$296bobo31b2o$295bobo$294bobo33b2o$293bobo34b2o$
292bobo$291bobo36b2o$290bobo37b2o$289bobo$288bobo39b2o$86b2o4b2o195bo
40b2o$86b2o4b2o$330b2o$76b2o252b2o$76b2o$330b2o$76b2o252b2o$76b2o$330b
2o$76b2o252b2o$76b2o$330b2o$76b2o252b2o$76b2o$330b2o$76b2o252b2o$76b2o
$330b2o$76b2o252b2o$76b2o$330b2o$76b2o252b2o$76b2o$330b2o$76b2o252b2o$
76b2o$330b2o$76b2o252b2o$76b2o$330b2o$76b2o252b2o$76b2o$330b2o$76b2o
252b2o$76b2o$330b2o$76b2o252b2o$76b2o$330b2o$76b2o252b2o$76b2o$330b2o$
76b2o252b2o$76b2o$330b2o$76b2o252b2o$76b2o$330b2o$76b2o252b2o$76b2o$
330b2o$76b2o252b2o$76b2o$330b2o$76b2o252b2o$76b2o$330b2o$76b2o252b2o$
76b2o$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b
2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o
2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$
330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$330b2o2$330b2o$
330b2o2$330b2o$330b2o5$330b2o$330b2o3$330b2o$330b2o3$330b2o$330b2o3$
330b2o$330b2o3$330b2o$330b2o3$330b2o$330b2o3$330b2o$330b2o3$330b2o$
330b2o!

[Naszvadi]

2c5o stretcher predecessors - probably explains this infinite growth pattern's relative commonness in this rule:

87x1:

Code: Select all

x = 87, y = 1, rule = B3678/S235678
87o!

103x1:

Code: Select all

x = 87, y = 1, rule = B3678/S235678
103o!

I wonder if I had golly and such "supercomputers" in 1998...

[Yoel]

I discovered this rule independently in 2001 while playing with Day&Night. My idea was to augment D&N with some features of Life by adding S2. I used Life32 (most likely on Wine under Linux, as far as I remember, although back then I had a dual-boot Windows/Linux box; Windows was booted mainly for games).

4 infinite growth patterns from old backups, saved in May 2001 (making them shorter now):

Code: Select all

x = 28, y = 24, rule = B3678/S235678
6$6b2obob2o$5b7o$5b8o$6b8obo$5b11o$6b8obo$5b8o$5b7o$6b2obob2o!

Code: Select all

x = 40, y = 34, rule = B3678/S235678
2$13b2o$8bobo2b2o3bob2o$8b8o2b4obo$6b17ob2o$6b22o$6b23o$6b24o$6b26o$6b
24obo$6b26o$6b24o$6b23o$6b22o$6b17ob2o$8b8o2b4obo$8bobo2b2o3bob2o$13b
2o!

Code: Select all

x = 21, y = 21, rule = B3678/S235678
2$7bob2o$6b5o2b2o$6b8o$6b9o$6b11o$6b12o$6b11o$6b9o$6b8o$6b5o2b2o$7bob
2o!

Code: Select all

x = 44, y = 32, rule = B3678/S235678
12$10bobobobobobobobobob2o$10b19o$10b20o$10b22o$10b23o$10b22o$10b20o$
10b19o$10b15obob2o$10b15o$10b2o2b10o$10bo3bobo2b3o$10bo8bo!

3 of them coincide with yours.

EDIT:

Gliders:

Code: Select all

x = 43, y = 31, rule = B3678/S235678
2$24bo$21bob3obo$18b2o2b5o2b2o$19b11o$18b13o$12b2o2b17o2b2o$12b2o2b17o
2b2o$9bob27obo$8bob29obo$9b31o$11b27o$12b25o$12b25o$10b29o$10b29o$10b
29o$11b27o$13b23o$14b21o$14b21o$17b15o$16bo2b11o2bo$16bo3b9o3bo$16b3ob
9ob3o$18b13o$21bob3obo$24bo!

Code: Select all

x = 47, y = 68, rule = B3678/S235678
10$19b2obobo$20b5o$19b9obo$17b11o2bo$16b16o$17bo2b11o$18bob9o$23b5o$
23bobob2o7$22b2obo$23b5o$21b7o2bo$19bob11o$18b11obo$19bo2b7o$22b5o$24b
ob2o8$22bo2bo2bo$21bob6o$22b7o$20b10o$21b10o$22b7o$22b6obo$22bo2bo2bo
7$20b2o2bobo2bo$16bo3b10o2bo$11b2obob17obob2o$11b27o$11b27o$13b23o$11b
27o$11b27o$11b2obob17obob2o$16bo2b10o3bo$19bo2bobo2b2o!

Diagonal:

Code: Select all

x = 110, y = 110, rule = B3678/S235678
14$69bo$68bobo$65bo2b2obo$62bo2b6o$62b11o$63b10ob2o$62b13o$60b17o$57bo
2b16obo$57b20obo$58b20obo$57b21obo$55b22obo$52bo2b21obo$52b23obo$53b
22o$52b23o$50b23o$47bo2b23o$47b24ob2o$48b22o$47b23o$45b23o$42bo2b23o$
42b24ob2o$43b22o$42b23o$43b20o$42b21o$43b18ob2o$42b18o$43b17o$43b15o$
41b17o$42b17o$42b15o$38b2ob16o$39b20o$39b19o$37b21o$38b21o$37b2ob18o$
41b15ob2o$41b14o$43b7o2bobo$44b6o$43b5o$44b3o$43b2obo!