ConwayLife.com

Posted: **March 7th, 2024, 9:05 pm**

calcyman wrote: March 7th, 2024, 2:08 pm Serizawa's rule has 3 states, rotate4reflect symmetry, the von Neumann neighbourhood, and is capable of universal computation and construction:

I know, but actually my point is to reduce the state of Banks-4 to 3 while keeping it's mechanics untouched.

Code: Select all

x = 93, y = 112, rule = Banks-V
37.3B$37.B.B$37.B.B$37.B.B$37.B.B3.3B$37.B.B3.B.B22.B.B$28.10B.5B.3B20.
B.B$30.BA15.B20.B.B$28.10B.5B.3B20.3B$37.B.B3.B.B22.BAB$37.B.B3.B.B22.
B.B$37.B.B3.B.B22.B.B$37.B.B3.B.B22.B.B$35.3B.5B.3B12.9B.10B$35.B11.B
15.BA9.AB$35.3B.5B.3B12.9B.10B$37.B.B3.B.B22.B.B$37.3B3.B.B22.B.B$43.
B.B22.B.B$37.3B3.B.B3.3B16.B.B$37.B.B3.B.B3.B.B16.B.B$35.3B.5B.5B.3B14.
B.B$35.B17.B14.B.B$35.3B.5B.5B.3B14.B.B$37.B.B3.B.B3.B.B16.B.B$37.B.B
3.3B3.B.B$37.B.B9.B.B$37.B.B9.B.B$37.B.B9.B.B$37.B.B3.3B3.B.B$37.B.B3.
B.B3.B.B$35.3B.5B.5B.3B$35.B17.B$35.3B.5B.5B.3B21.B$37.B.B3.B.B3.B.B10.
15B$37.3B3.B.B3.3B11.BA12.16B$43.B.B16.15B$43.B.B30.B$43.B.B$43.3B7$4B
A8BA9BA12BA15BA12BA9BA8BA6B$3.A8.A9.A12.A17.A12.A9.A8.A10$16.7BA12BA15B
A12BA7B$22.A12.A8.B8.A12.A$44.B$44.B$44.B$44.B$44.B$44.B$44.B8$35.A$36.
A10B$35.A3$35.A$36.A10B.B$35.A3$35.A11.B$36.A10B$35.A3$35.A11.B$36.A10B
.B$35.A5$47.B$46.3B$36.A11.15B$37.A10B14.B$36.A11.15B$46.3B$47.B4$47.
B$47.2B$43.2B3.15B$40.A21.B$41.A3B3.15B$40.A3.B2.2B$47.B!



@RULE Banks-V
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2}
var a2 = {0,1,2}
var a3 = {0,1,2}
var a4 = {0,1,2}
var a5 = {0,1,2}
var a6 = {0,1,2}
var a7 = {0,1,2}
var a8 = {0,1,2}

1,2,2,0,0,0,0,0,0,0
1,2,1,2,2,2,2,2,0,0
1,2,1,2,1,2,2,2,2,0
1,0,2,2,2,a1,0,0,0,0
1,0,1,2,2,a1,0,0,0,0
2,1,2,0,0,0,0,0,0,0
2,0,2,2,2,0,2,1,2,0
2,0,2,1,2,2,2,0,0,1
2,2,0,0,2,1,2,0,0,1
2,1,0,0,0,2,0,0,0,1
2,0,2,0,2,0,2,0,2,0
2,1,2,2,2,0,0,2,2,0
2,1,2,1,2,0,2,0,2,0
2,1,2,0,2,0,2,0,2,1
2,0,2,2,0,2,2,2,2,2
2,0,2,2,2,2,2,2,2,0
2,2,2,0,2,2,0,2,0,0
0,0,2,1,2,0,0,0,0,2
0,1,2,0,0,0,0,0,0,1
0,0,1,0,1,0,0,0,0,1
0,1,2,2,2,1,0,0,0,2
0,0,2,1,2,1,0,0,0,1
0,0,2,2,1,0,1,2,2,2
0,0,2,1,2,1,2,1,2,2
0,1,2,0,2,1,2,0,2,2
0,2,2,0,0,2,a1,0,0,2
0,1,2,0,2,0,2,0,2,1
0,1,2,1,2,0,2,0,2,1
0,1,a4,2,a1,a2,a3,2,a5,1
1,2,2,2,2,2,2,2,2,0
1,a7,a1,a2,a3,2,a4,a5,a6,2
2,1,2,2,2,2,0,2,2,0
2,1,2,2,2,2,2,2,2,0
2,1,a1,2,2,0,2,2,a2,0

EDIT:

Code: Select all

x = 10, y = 7, rule = UniversalPermute
2.BA$6C.3C$C4.C$C4.C$C4.C$C4.C$6C!

@RULE UniversalPermute
@TABLE
n_states:8
neighborhood:Moore
symmetries:permute
var a1 = {0,1,2,3,4,5,6,7}
var a2 = {0,1,2,3,4,5,6,7}
var a3 = {0,1,2,3,4,5,6,7}
var a4 = {0,1,2,3,4,5,6,7}
var a5 = {0,1,2,3,4,5,6,7}
var a6 = {0,1,2,3,4,5,6,7}
var a7 = {0,1,2,3,4,5,6,7}
var a8 = {0,1,2,3,4,5,6,7}

1,3,3,1,0,0,0,0,0,4
3,1,1,3,0,0,0,0,0,4
4,1,1,2,2,3,0,0,0,3
4,4,4,2,2,3,0,0,0,3
4,3,3,0,0,0,0,0,0,3
4,4,3,2,0,0,0,0,0,0
0,4,4,4,0,0,0,0,0,3
0,3,3,1,0,0,0,0,0,4




0,1,3,a1,a2,a3,0,0,0,1
1,a1,a2,a3,a4,a5,a6,a7,a8,2
2,a1,a2,a3,a4,a5,a6,a7,a8,0

@COLORS
1 255 0 0
2 255 255 255
3 255 255 0
4 0 0 255
5 0 255 255
6 255 0 255
7 0 255 0

Posted: **March 9th, 2024, 10:06 am**

Can anyone stabilize this bare engine? Here is my best partial, with two engines side by side:

Code: Select all

x = 9, y = 20, rule = B2i3/S2-c3-c4-aeqrw
b2obo$obob3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2obo7$b2obo$obob3o$obo4bo$
ob2o2b3o$obo4bo$obob3o$b2obo!

Posted: **March 9th, 2024, 10:24 am**

qqd wrote: March 9th, 2024, 10:06 am Can anyone stabilize this bare engine? Here is my best partial, with two engines side by side:
Code: Select all
x = 9, y = 20, rule = B2i3/S2-c3-c4-aeqrw
b2obo$obob3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2obo7$b2obo$obob3o$obo4bo$
ob2o2b3o$obo4bo$obob3o$b2obo!

Longest distance so far:

Code: Select all

x = 9, y = 228, rule = B2i3/S2-c3-c4-aeqrw
b2obo$obob3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2obo7$b2obo$obob3o$obo4bo
$ob2o2b3o$obo4bo$obob3o$b2obo8$b2obo$obob3o$obo4bo$ob2o2b3o$obo4bo$ob
ob3o$b2obo7$b2obo$obob3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2obo14$b2obo$
obob3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2obo7$b2obo$obob3o$obo4bo$ob2o2b
3o$obo4bo$obob3o$b2obo8$b2obo$obob3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2o
bo7$b2obo$obob3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2obo15$b2obo$obob3o$o
bo4bo$ob2o2b3o$obo4bo$obob3o$b2obo7$b2obo$obob3o$obo4bo$ob2o2b3o$obo4b
o$obob3o$b2obo8$b2obo$obob3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2obo7$b2o
bo$obob3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2obo14$b2obo$obob3o$obo4bo$o
b2o2b3o$obo4bo$obob3o$b2obo7$b2obo$obob3o$obo4bo$ob2o2b3o$obo4bo$obob
3o$b2obo8$b2obo$obob3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2obo7$b2obo$obo
b3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2obo!

Posted: **March 9th, 2024, 11:10 am**

Maybe spaceships like this can help (found with qfind 2.3):

Code: Select all

x = 24, y = 84, rule = B2i3/S2-c3-c4-aeqrw
b2obo$obob3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2obo45$14bo2bo$10b3obo2bo$
bo8b2obo4bo$bo2b2o2bobobob2o2b4o$4bobobobobobobobo2b2o$b2obobobobobobo
bob2o2b2o$4bobobobobobobobo2b2o$bo2b2o2bobobob2o2b4o$bo8b2obo4bo$10b3o
bo2bo$14bo2bo3$b2obo$obob3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2obo3$14bo
2bo$10b3obo2bo$bo8b2obo4bo$bo2b2o2bobobob2o2b4o$4bobobobobobobobo2b2o$
b2obobobobobobobob2o2b2o$4bobobobobobobobo2b2o$bo2b2o2bobobob2o2b4o$bo
8b2obo4bo$10b3obo2bo$14bo2bo!

p48 oscillator from D4_+2:

Code: Select all

x = 6, y = 5, rule = B2i3/S2-c3-c4-aeqrw
6o$6o$6o2$bo2bo!

Posted: **March 9th, 2024, 2:20 pm**

There is this interesting volatility-1 p48 that came from soup (look a gen 24 for a surprise):

Code: Select all

x = 6, y = 5, rule = B2i3/S2-c3-c4-aeqrw
6o$6o$6o2$bo2bo!
[[ STOP 24 ]]

Also this p7, which looks like a pentadecathlon being hassled by 4 blocks:

Code: Select all

x = 9, y = 14, rule = B2i3/S2-c3-c4-aeqrw
bo5bo$2o5b2o2$3b3o$3b3o$3b3o3$3b3o$3b3o$3b3o2$2o5b2o$bo5bo!

Also, I found a drifter p9 that is not in soup:

Code: Select all

x = 9, y = 7, rule = B2i3/S2-c3-c4-aeqrw
2o$o$bob2o$2obobo$ob2ob3o$8bo$7b2o!

Posted: **March 9th, 2024, 5:08 pm**

qqd wrote: March 9th, 2024, 10:06 am Can anyone stabilize this bare engine? Here is my best partial, with two engines side by side:
Code: Select all
x = 9, y = 20, rule = B2i3/S2-c3-c4-aeqrw
b2obo$obob3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2obo7$b2obo$obob3o$obo4bo$
ob2o2b3o$obo4bo$obob3o$b2obo!

If you add the transition S5y, you can make a wickstretcher based on the above engine:

Code: Select all

x = 9, y = 7, rule = B2i3/S2-c3-c4-aeqrw5y
5bo$2ob5o$2obo4bo$3b3ob2o$2obo4bo$2ob5o$5bo!

As a by-product, it gives the rule common c/4o spaceships:

Code: Select all

x = 3, y = 3, rule = B2i3/S2-c3-c4-aeqrw5y
2o$b2o$2o!

Posted: **March 13th, 2024, 6:07 pm**

M2 2x4 block can suppress the replicator from replicating, and surprisingly (to me) it can hassle objects:

Code: Select all

x = 30, y = 17, rule = B3678/S12ai45
8bo$4o4bo17b4o$4o4bo17b4o$8bo6$5bo$5bo2$4obo$4obo2$5bo$5bo!

Posted: **March 15th, 2024, 2:56 am**

Now this is just the weirdest binary counter I have ever seen. And I found it by accident!

Code: Select all

x = 32, y = 11, rule = B3/S23-a4i5i6i78
30b2o$31bo$30b2o2$2o28b2o$o30bo$2o28b2o2$2o$o$2o!

Posted: **March 15th, 2024, 6:56 am**

这个…this may be Turing complete:

Code: Select all

x = 104, y = 71, rule = B2e3air/S23
8bobo$8b3o15b2o$26b2o3$5b2o$5b2o2$2o35b2o$bo24b2o9b2o$2o23bo$26b2ob2o
$12b2o5b2o8b2o$12b2o5b2o4$91b2o$91b2o5$94bo$93bobo6b2o$93bobo6b2o2$92b
2o$92b2o7$95b2o$95b2o7$8b3o6$9bo$2o6bobo$2o6bobo66b2o$77b2o$10b2o$10b
2o5$74b2o9bo$66bo7b2o9bo$10bo55bo18bo$10bo55bo8bobo$10bo64bobo$76bo6$
75b3o!

Posted: **March 17th, 2024, 8:51 am**

(The thread seems be inactive these days)
Eater + splitter = everything:

Code: Select all

x = eater, y = splitter, rule = Everything
3.C$16.C27.C$26.C11.C.C$7.C24.C.C9.C$3.C22.C11.C2$56.C$5.BA.C$C3.C51.
C$7.C33.C.C$11.C.C21.C.C$25.C15.C$9.C25.C7$12.C.C49.C7$60.C3$55.C$50.
C9.C!

@RULE Everything
@TABLE
n_states:4
neighborhood:Moore
symmetries:rotate4reflect
var a = {0,1,2,3}
var a1 = a
var a2 = a
var a3 = a
var a4 = a
var a5 = a
var a6 = a
var a7 = a
0,1,0,0,0,0,0,0,0,1
0,0,3,0,1,0,0,0,0,1

3,3,a1,a2,a3,a4,a5,a6,a7,0
1,a,a1,a2,a3,a4,a5,a6,a7,2
2,a,a1,a2,a3,a4,a5,a6,a7,0

(Note: don't add this into LifeWiki)

Posted: **March 17th, 2024, 12:50 pm**

R1,C2,S2-3,5-6,8-9,12,B3,6,9,12,NW141404141
i named this rule because misshapen honeyfarms are common and natural

Code: Select all

x = 3, y = 3, rule = R1,C2,S2-3,5-6,8-9,12,B3,6,9,12,NW141404141
3o$obo$3o!

i found a spaceship thing that leaves blinkers

Code: Select all

x = 9, y = 7, rule = R1,C2,S2-3,5-6,8-9,12,B3,6,9,12,NW141404141
b2o3b2o$obo3bobo$o7bo$o3bo3bo$bo5bo$2bo3bo$3b3o!

also the pulsar is stupid and turns into this

Code: Select all

x = 23, y = 21, rule = R1,C2,S2-3,5-6,8-9,12,B3,6,9,12,NW141404141
4$7b3o3b3o2$5bo4bobo4bo$5bo4bobo4bo$5bo4bobo4bo$7b3o3b3o2$7b3o3b3o$5b
o4bobo4bo$5bo4bobo4bo$5bo4bobo4bo2$7b3o3b3o!
[[ STARTFROM 40 ]]

Posted: **March 17th, 2024, 1:01 pm**

tommyaweosme wrote: March 17th, 2024, 12:50 pm i found a spaceship thing that leaves blinkers
Code: Select all
x = 9, y = 7, rule = R1,C2,S2-3,5-6,8-9,12,B3,6,9,12,NW141404141
b2o3b2o$obo3bobo$o7bo$o3bo3bo$bo5bo$2bo3bo$3b3o!

Six "spaceship things" (which are actually blinker puffers, and not spaceships) can be used to make an actual orthogonal 4c/21 spaceship:

Code: Select all

x = 33, y = 61, rule = R1,C0,S2-3,5-6,8-9,12,B3,6,9,12,NW141404141
6bo7bo7bo$o5bo2b3o2bo2b3o2bo$bo4bo7bo7bo$bo2$27b3o$26bo3bo$26b2o3bo$
32bo$3b3o23bo2bo$2bo3bo25bo$2b2o3bo18b2o3bo$8bo17bo3bo$5bo2bo18b3o$8bo
$2b2o3bo$2bo3bo$3b3o9$3b3o21b3o$2bo3bo19bo3bo$2b2o3bo18b2o3bo$8bo23bo$
5bo2bo20bo2bo$8bo23bo$2b2o3bo18b2o3bo$2bo3bo19bo3bo$3b3o21b3o9$3b3o$2b
o3bo$2b2o3bo$8bo$5bo2bo18b3o$8bo17bo3bo$2b2o3bo18b2o3bo$2bo3bo25bo$3b
3o23bo2bo$32bo$26b2o3bo$26bo3bo$27b3o2$bo$bo4bo7bo7bo$o5bo2b3o2bo2b3o
2bo$6bo7bo7bo!

Also, since this is two-state range-1 Moore and the weighted neighbourhood is isotropic, it must be possible to write the rule in Hensel notation. However, I bet the resulting rulestring is going to be less intuitive than the weighted neighbourhood notation.

Posted: **March 17th, 2024, 1:25 pm**

confocaloid wrote: March 17th, 2024, 1:01 pm Also, since this is two-state range-1 Moore and the weighted neighbourhood is isotropic, it must be possible to write the rule in Hensel notation. However, I bet the resulting rulestring is going to be less intuitive than the weighted neighbourhood notation.

The rule is equivalent to B36ei/S235e6ei.

P38:

Code: Select all

x = 32, y = 17, rule = B36ei/S235e6ei
7b2o14b2o$7b2o14b2o$3o26b3o$b3o24b3o3$10b3o6b3o$9bo3bo4bo3bo$9bo3bo4b
o3bo$9bo3bo4bo3bo$10b3o6b3o3$b3o24b3o$3o26b3o$7b2o14b2o$7b2o14b2o!

Posted: **March 18th, 2024, 7:24 am**

This rule has wires which can emulate Bliptile + B3V, which seems be a sign of Turing completeness:

Code: Select all

x = 53, y = 48, rule = 1234-ci/5eiy6ak7e/3
32.A.A$2.9A3.19A.8A$.A4.BA3.A30.A$.A.7A.A2.19A.7A.A$.A.A5.A.A20.A.A5.
A.A$.A.A5.A.A20.A.A5.A.A$.A.7A.22A.A5.A.10A$.A32.A5.A11.A$2.8A.23A3.A
3.10A.A$9.A.A25.A.A10.A.A$9.A.A25.A.A10.A.A$2.8A.5A4.6A4.8A.12A.A$.A14.
A2.A6.A2.A22.A$.A.7A.4A.A2.A.4A.A2.A.7A.13A$.A.A5.A.A2.A.A2.A.A2.A.A2.
A.A5.A.A$.A.A5.A.A2.A.A2.A.A2.A.A2.A.A5.A.A$.A.A5.A.A2.A.A2.A.A2.A.A2.
A.A5.A.A$.A.A5.A.A2.A.A2.A.A2.A.A2.A.A5.A.A$.A.A5.A.A2.A.A2.A.A2.A.A2.
A.A5.A.A$2A.7A.A2.A.A2.A.A2.A.A2.A.A5.A.A$11.A2.A.4A.A2.A.4A.A5.A.A$2A
.8A3.A6.A2.A6.A5.A.A$.A.A11.6A4.6A6.A.A6$11.A.A2.A.A2.A.A$10.2A.4A.4A
.2A2$10.2A.4A.4A.2A$11.A.A2.A.A2.A.A$11.A.A7.A.A2.A.A2.A.A2.A.A$10.2A
.2A5.2A.4A.4A.4A.2A2$10.2A.2A5.2A.4A.4A.4A.2A$11.A.A7.A.A2.A.A2.A.A2.
A.A$.A.A2.A.A2.A.A12.A.A$2A.4A.4A.2A10.2A.2A$A$2A.4A.4A.2A10.2A.2A$.A
.A2.A.A2.A.A12.A.A$11.A.A2.A.A2.A.A2.A.A$10.2A.4A.4A.4A.2A2$10.2A.4A.
4A.4A.2A$11.A.A2.A.A2.A.A2.A.A!

Posted: **March 18th, 2024, 7:42 am**

c/9 diagonal spaceship with inquiry:

Code: Select all

x = 4, y = 4, rule = B35inqry/S23
b2o$o2bo$obo$2o!

EDIT: Extremely sparky p16 after adding 4twz to the above:

Code: Select all

x = 3, y = 3, rule = B35inqry/S234twz
3o$obo$3o!

EDIT2: c/4 spaceship without cry:

Code: Select all

x = 5, y = 4, rule = B3/S23-cry
b3o$bo2bo$o$b2o!

Posted: **March 18th, 2024, 7:57 am**

qqd wrote: March 18th, 2024, 7:42 am EDIT: Extremely sparky p16 after adding 4twz to the above:
Code: Select all
x = 3, y = 3, rule = B35inqry/S234twz
3o$obo$3o!

P43:

Code: Select all

x = 11, y = 11, rule = B35inqry/S234twz
3o$obo$3o6$8b3o$8bobo$8b3o!

Posted: **March 20th, 2024, 8:19 am**

Code: Select all

#C p214 B shuttle
x = 32, y = 47, rule = Ignorance
19.A$19.3A$22.A$21.2A9$20.2B5.2B$20.2B5.2B4$27.2B$27.2B2$10.2A$9.2A18.
2B$.2B7.2A16.B2AB$B2AB7.A16.B2AB$B2AB25.2B$.2B3$3.2B$3.2B4$3.2B5.2B$3.
2B5.2B9$9.2A$9.A$10.3A$12.A!

@RULE Ignorance
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a = {0,1,2}
var a1 = a
var a2 = a
var a3 = a
var a4 = a
var a5 = a
var a6 = a
var a7 = a
var a8 = a
var b = {0,2}
var b1 = b
var b2 = b
var b3 = b
var b4 = b
var c = {0,1}
var c1 = c
var c2 = c
var c3 = c
var c4 = c
0,1,1,1,2,2,2,0,0,0
0,1,1,1,b,b1,b2,b3,b4,1
0,2,2,2,c,c1,c2,c3,c4,2
1,1,1,a,b,b1,b2,b3,b4,1
2,2,2,a,c,c1,c2,c3,c4,2
a,a1,a2,a3,a4,a5,a6,a7,a8,0
@COLORS
1 255 222 0
2 0 92 255

Posted: **March 20th, 2024, 8:28 am**

Posted: **March 21st, 2024, 12:59 am**

There are so many different ships that pop out in this one... (just run a soup for some time)
B3/S23-cry5-cry

Posted: **March 21st, 2024, 1:25 am**

Is Determination notable enough for a thread? See my user page for info.

Posted: **March 21st, 2024, 1:58 am**

I suggest that you provide a link to the page describing the rule, so that others do not have to search for it.

The question is, do you expect alot of discussion of this rule? Most such-and-such-rule threads so far end up getting just few replies, and then sink away from the first page for a long time if not forever. Likely because it is natural for people discovering things to overestimate their interestingness/potential in terms of future exploration and discussion.

Even really notable rules often get little attention. Not giving specific examples because I don't want to, but it should be easy to find multiple examples of interesting unexplored rules, just by looking through the many pages of this subforum.

Posted: **March 21st, 2024, 2:31 am**

Code: Select all

x = 39, y = 37, rule = Longlife3
2A.A3.A2.A.A.4A.2A2.A.2A.2A2.A2.A.2A$.A.2A4.3A6.2A4.6A.A.A.3A$3.A.3A6.
2A2.4A2.5A.A.2A$6.A2.A3.2A2.3A.4A.3A3.4A$.A2.A4.2A.A4.2A2.2A.2A5.A2.2A
.A$A5.3A.A.A2.A2.3A.2A.A.A.A.8A$6.A3.A.3A.A2.2A.A2.3A.A.A.2A2.2A$.4A.
A2.A2.4A2.A3.2A.A.3A2.2A.A$.6A2.A3.A5.2A.4A.A.A.A.A.A.A$.3A.A4.4A2.A.
2A3.3A2.2A3.A.3A$2.A2.A.3A.2A.A.A4.A3.A2.4A2.2A.2A$.3A9.A.A.A2.3A.3A4.
2A3.A.A$.2A2.A.3A.2A.A.A.3A2.2A.3A.A.3A.2A$3A.4A.2A2.A.4A2.A.A6.A2.2A
.A.A$A.A.2A6.A.2A.3A4.2A2.A.A2.A.4A$3.2A.2A3.A.2A.2A.2A.3A.4A.2A5.A$A
.A4.3A.A2.A2.2A3.A3.A.A.2A.A2.3A$A2.A2.2A.3A4.A3.2A2.2A2.A2.A4.A$4.A.
A.A.2A2.3A.7A.2A.2A.2A.4A$A2.A.A.3A3.2A2.A5.3A.3A.A.A4.A$A2.A2.2A.A2.
A.A.3A.A2.2A.A6.A.A.2A$3A.2A3.A.3A4.A2.7A.4A2.A$2.A2.6A3.A4.2A.A2.4A.
2A.A2.A$3A2.2A3.6A.2A3.A.2A.3A.8A$A4.A.A2.A.A.A2.A2.3A.A2.2A.3A2.2A$A
.A3.A.A6.A.A.A.2A8.A.A3.A$4A3.5A3.A.A.A.A.4A.A3.2A.4A$6A.A2.2A3.A3.2A
.A2.2A.A.3A2.2A$A2.2A2.A.A.A.A3.5A2.A.A2.3A4.2A$A.2A.A.5A.4A3.A2.2A.A
3.A4.A2.A$2A.2A.A.A.5A4.A.A2.A3.A3.A.2A$2.A2.A.A2.A3.4A.A.2A.3A.2A.A.
A.A2.A$A8.2A.A2.A.3A.A.2A4.A6.A$3.A.A.3A.2A.A.2A3.5A3.6A.A$A.A4.2A.A.
A2.A3.A6.A.3A.4A$.A.4A.2A3.A.3A2.A2.2A2.A.2A.A.2A2.A$A.A.2A2.A.A.3A.3A
.A.2A.6A3.2A!

@RULE Longlife3
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a = {0,1,2}
var a1 = a
var a2 = a
var a3 = a
var a4 = a
var a5 = a
var a6 = a
var a7 = a
var a8 = a
var b = {0,2}
var b1 = b
var b2 = b
var b3 = b
var b4 = b
0,1,1,1,a1,a2,a3,a4,a5,2
2,a1,a2,a3,a4,a5,a6,a7,a8,1
1,1,1,a1,b,b1,b2,b3,b4,1
1,a1,a2,a3,a4,a5,a6,a7,a8,0

Posted: **March 21st, 2024, 2:58 am**

A c/9 rake that I can't get to corderize (it moves backwards):

Code: Select all

x = 3, y = 4, rule = B3-cy4twz/S23
b2o$obo$o$3o!

Posted: **March 21st, 2024, 3:09 am**

qqd wrote: March 21st, 2024, 2:58 am

Some interesting reactions

Code: Select all

x = 553, y = 436, rule = B3-cy4twz/S23
323bo$322b2o$322bobo25$362bo$361b2o$361bobo6$40bo$39b2o37b2o295bo$39bo
bo30b2o4bobo293b2o$72bobo4b2o293bobo$72bo$110b2o34b2o34b2o34b2o34b2o
34b2o34b2o34b2o$109bobo33bobo33bobo33bobo33bobo33bobo33bobo33bobo$110b
o35bo35bo35bo35bo35bo35bo35bo$35b2o34b2o$35b2o34b2o11$98b2o$98bobo$98b
o7$111b2o$111bobo$111bo14$74bo$73b2o365bo$73bobo363b2o$149b2o288bobo$
148b2o$150bo5$453bo$452b2o$343b2o107bobo$344b2o$343bo14$479bo$478b2o$
478bobo6$157bo$156b2o334bo$156bobo30b2o300b2o$189bobo299bobo$189bo12$
516bo$516b2o$517bo2$215b2o$215bobo300bo$215bo6$531bo$228b2o300b2o$228b
obo299bobo$228bo3$548bo2bo$544bo3bo3bo$543b2o7bo$543bo4b3obo$545bo4b2o
$538bo6b2o2bo$529bo6b2o9b2o$528b3o6b2o$527b5o$526b3ob3o$527b5o$191bo
336b3o$190b2o337bo$190bobo336bo$266b2o260b3o$265b2o260b5o$267bo258b3ob
3o$527b5o$528b3o6b2o$529bo6b2o9b2o$538bo6b2o2bo$545bo4b2o$543bo4b3obo$
298b2o243b2o7bo$299b2o243bo3bo3bo$298bo249bo2bo4$530bobo$530b2o$531bo
3$471bo$470b3o$470b3o2$517bobo$470b3o44b2o$251b2o217b3o45bo$250bo2bo
71b2ob2o31b2ob2o31b2ob2o31b2ob2o33bo$251b2o72b2ob2o31b2ob2o31b2ob2o31b
2ob2o$247bo221bo3bo$246bobo219bobobobo$245bo2bo4b2o67b3o5b3o25b3o5b3o
25b3o5b3o25b3o5b3o26bobo3bobo$246b2o4bo2bo212bo5bo$252bobo$253bo18bo
11b3o$248b2o21b3o13bo18b2o$247bo2bo19b5o7bo4bo18bobo$248b2o19bo5bo30bo
$268b2o2bo2b2o16bo$267b3obobob3o4bo3bo4b2obo$250b2o16b2o2bo11b3o4b2obo
$3o33b3o33b3o33b3o33b3o33b3o33b3o31b2o17bo17bo$319b2o6b2o162bobo$274bo
44b2o3bo3b2o161b2o$269bo2b3o13bo30bo5b2obo163bo$269bo2b2o2b2o5b2ob4o
30b3obo2bo$273bobo2bo3bo2bobob2o22bo7b6o$272b2o3b2o3b2o3b2ob2o12b3o5bo
9b3o$277bo5bo5bo13bo3bo4b3o$273bo13bo14bo5bo$274b2o9b2o15bo5bo$251bo
50bo5bo169bobo$250bobo50bo3bo170b2o$250bo2bo225bo$250bo2bo225bo$250bob
o50bo3bo170b2o$251bo50bo5bo169bobo$274b2o9b2o15bo5bo$273bo13bo14bo5bo$
277bo5bo5bo13bo3bo4b3o$272b2o3b2o3b2o3b2ob2o12b3o5bo9b3o$273bobo2bo3bo
2bobob2o22bo7b6o$269bo2b2o2b2o5b2ob4o30b3obo2bo$269bo2b3o13bo30bo5b2ob
o163bo$274bo44b2o3bo3b2o161b2o$319b2o6b2o162bobo$3o33b3o33b3o33b3o33b
3o33b3o33b3o31b2o17bo17bo$250b2o16b2o2bo11b3o4b2obo$267b3obobob3o4bo3b
o4b2obo$268b2o2bo2b2o16bo$248b2o19bo5bo30bo$247bo2bo19b5o7bo4bo18bobo$
248b2o21b3o13bo18b2o$253bo18bo11b3o$252bobo$246b2o4bo2bo212bo5bo$245bo
2bo4b2o67b3o5b3o25b3o5b3o25b3o5b3o25b3o5b3o26bobo3bobo$246bobo219bobob
obo$247bo221bo3bo$251b2o72b2ob2o31b2ob2o31b2ob2o31b2ob2o$250bo2bo71b2o
b2o31b2ob2o31b2ob2o31b2ob2o33bo$251b2o217b3o45bo$470b3o44b2o$517bobo2$
470b3o$470b3o$471bo3$531bo$530b2o$530bobo4$298bo249bo2bo$299b2o243bo3b
o3bo$298b2o243b2o7bo$543bo4b3obo$545bo4b2o$538bo6b2o2bo$529bo6b2o9b2o$
528b3o6b2o$527b5o$267bo258b3ob3o$265b2o260b5o$266b2o260b3o$190bobo336b
o$190b2o337bo$191bo336b3o$527b5o$526b3ob3o$527b5o$528b3o6b2o$529bo6b2o
9b2o$538bo6b2o2bo$545bo4b2o$543bo4b3obo$543b2o7bo$544bo3bo3bo$548bo2bo
3$228bo$228bobo299bobo$228b2o300b2o$531bo6$215bo$215bobo300bo$215b2o2$
517bo$516b2o$516bo12$189bo$189bobo299bobo$156bobo30b2o300b2o$156b2o
334bo$157bo6$478bobo$478b2o$479bo14$343bo$344b2o$343b2o107bobo$452b2o$
453bo5$150bo$148b2o$149b2o288bobo$73bobo363b2o$73b2o365bo$74bo14$111bo
$111bobo$111b2o7$98bo$98bobo$98b2o11$35b2o34b2o$35b2o34b2o$110bo35bo
35bo35bo35bo35bo35bo35bo$109bobo33bobo33bobo33bobo33bobo33bobo33bobo
33bobo$110b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o$72bo$72bobo4b2o293bob
o$39bobo30b2o4bobo293b2o$39b2o37b2o295bo$40bo6$361bobo$361b2o$362bo25$
322bobo$322b2o$323bo!

Posted: **March 21st, 2024, 3:59 am**

qqd wrote: March 21st, 2024, 2:58 am A c/9 rake that I can't get to corderize (it moves backwards):
Code: Select all
x = 3, y = 4, rule = B3-cy4twz/S23
b2o$obo$o$3o!

4c/36:

Code: Select all

x = 38, y = 45, rule = B3-cy4twz/S23
bo5b2o$obo3bo8b2o$o2bo4bo5bo3bo$b2o2bo7bo5bo$5b3o6bo4bo$15bo3bo$16bo6$
10b3o$10bo$11bo5$34bo$33bo3bo$23b3o6bo4bo$23bo7bo5bo$26bo5bo3bo$24bo8b
2o$25b2o$17bo$17bobo$17b2o7$4bo$4bobo$4b2o$6b3o$6bo8b2o$8bo5bo3bo$5bo
7bo5bo$5b3o6bo4bo$15bo3bo$16bo!

EDIT:
70 cells:

Code: Select all

x = 25, y = 27, rule = B3-cy4twz/S23
16bo$15bo3bo$5b3o6bo4bo$5bo7bo5bo$8bo5bo3bo$6bo8b2o$6b3o$4b2o$4bobo$4b
o$12b2o$11bo8b2o$13bo5bo3bo$10bo7bo5bo$10b3o6bo4bo$20bo3bo$21bo4$16bo
$15bo3bo$5b3o6bo4bo$b2o2bo7bo5bo$o2bo4bo5bo3bo$obo3bo8b2o$bo5b2o!

EDIT:

Code: Select all

x = 10, y = 8, rule = vNS
3.A$2.3B3.B$.B2.BA2.BA$AB2.A3.B$.2BA$2.A3.A$6.BA$6.B!

@RULE vNS
@TABLE
n_states:3
neighborhood:vonNeumann
symmetries:rotate4reflect
var a = {0,1,2}
var a1 = a
var a2 = a
var a3 = a
var a4 = a
0,1,0,0,0,1
0,1,1,0,0,2
0,1,2,0,0,2
1,a1,a2,a3,a4,2
2,1,2,0,0,2
2,0,0,0,0,2
a,a1,a2,a3,a4,0

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