## Non-totalistic hex rules

For discussion of other cellular automata.
_zM
Posts: 173
Joined: June 26th, 2016, 3:07 pm

### Non-totalistic hex rules

It recently occurred to me that the notation described here for hex rules like the mentioned B2o/S2m34 could be extended easily to cover all other non-totalistic isotropic transitions, even without adding any more letters:

This can then be used like a version of Hensel notation, but for hex rules instead. For example:
In the rule B2-p/S2-m4H cells behave as follows:
• OFF cells with two neighbors which aren't directly opposite turn ON.
• ON cells with two neighbors which are either adjacent or opposite of each other stay ON.
• ON cells with four neighbors stay ON.
• All other cells stay or turn OFF.
This rule turns out to be interesting, as it contains a very common puffer and spaceship which interact in interesting ways, resulting in explosive behavior.

An example pattern:

Code: Select all

``````x = 2, y = 2, rule = B2-p_S2-m4H
o\$2o!
``````
The rule file:

Code: Select all

``````@RULE B2-p_S2-m4H

@TABLE
n_states:2
neighborhood:hexagonal
symmetries:rotate6reflect

var a = {0,1}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a

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

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

a,b,c,d,e,f,g,0
``````
And the script which generated the rule file (now runs in Golly):

Code: Select all

``````import golly as g

def translateRule(string):

if "_" in string:
birth,survival = string.split("_")
else:
birth = string
survival = ""

#expand strings
longbirth = []
longsurvival = []

for i in range(len(birth)):
if birth[i] in "0156":
longbirth.append(birth[i])
elif birth[i] in "234":
cond = []
negativeMode = False
for j in birth[i+1:]:
if j in "B0123456H":
break
elif j == "-":
negativeMode = True
cond += ["o","m","p"]
elif negativeMode:
cond.remove(j)
else:
cond.append(j)

if cond == []:
cond = ["o","m","p"]

for k in cond:
longbirth.append(birth[i] + k)
else:
pass

for i in range(len(survival)):
if survival[i] in "0156":
longsurvival.append(survival[i])

elif survival[i] in "234":
cond = []
negativeMode = False

for j in survival[i+1:]:
if j in "S0123456H":
break

elif j == "-":
negativeMode = True
cond += ["o","m","p"]

elif negativeMode:
cond.remove(j)
else:
cond.append(j)

if cond == []:
cond = ["o","m","p"]

for k in cond:
longsurvival.append(survival[i] + k)
else:
pass

return longbirth, longsurvival

def assembleRule(original,(longbirth,longsurvival)):

rules = {
"0" :",0,0,0,0,0,0,",
"1" :",1,0,0,0,0,0,",
"2o":",1,1,0,0,0,0,",
"2m":",1,0,1,0,0,0,",
"2p":",1,0,0,1,0,0,",
"3o":",1,1,1,0,0,0,",
"3m":",1,1,0,1,0,0,",
"3p":",1,0,1,0,1,0,",
"4o":",1,1,1,1,0,0,",
"4m":",1,1,1,0,1,0,",
"4p":",1,1,0,1,1,0,",
"5" :",1,1,1,1,1,0,",
"6" :",1,1,1,1,1,1,",
}

rule = """@RULE {rule}

@TABLE
n_states:2
neighborhood:hexagonal
symmetries:rotate6reflect

var a = {{0,1}}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a

""".format(rule=original)

for line in longbirth:

rule += "0"
rule += rules[line]
rule += "1\n"

rule += "\n"

for line in longsurvival:

rule += "1"
rule += rules[line]
rule += "1\n"

rule += "\na,b,c,d,e,f,g,0"

return rule

def main():
converted = g.getstring("Which rule file do you want to be created? ").replace("/","_")
#print(assembleRule(converted,translateRule(converted)))
file = open(g.getdir("rules") + converted + ".rule", "w")
file.write(assembleRule(converted,translateRule(converted)))
file.close()
g.setrule(converted)

#if __name__ == '__main__':
#	main()
main()``````
What do you think?
Last edited by _zM on December 1st, 2018, 6:47 pm, edited 1 time in total.
Creator of multiple rules that may or may not be what you'd expect

_zM
Posts: 173
Joined: June 26th, 2016, 3:07 pm

### Re: Non-totalistic hex rules

B2o3m/S2H:

Code: Select all

``````@RULE B2o3m_S2H

@TABLE
n_states:2
neighborhood:hexagonal
symmetries:rotate6reflect

var a = {0,1}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a

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

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

a,b,c,d,e,f,g,0``````
This rule seems to be chaotic, but not explosive. A good example is the pentahex which resembles the R-penomino, lasting for 520 generations.

Code: Select all

``````x = 3, y = 3, rule = B2o3m_S2H
2bo\$3o\$bo!
``````
Last edited by _zM on September 30th, 2017, 4:26 am, edited 2 times in total.
Creator of multiple rules that may or may not be what you'd expect

Apple Bottom
Posts: 1034
Joined: July 27th, 2015, 2:06 pm
Contact:

### Re: Non-totalistic hex rules

_zM wrote:It recently occurred to me that the notation described here for hex rules like the mentioned B2o/S2m34 could be extended easily to cover all other non-totalistic isotropic transitions, even without adding any more letters:

[...]

What do you think?
I think that this is proof that good ideas tend to be had by more than one person. This notation already exists, see e.g. the wiki.
If you speak, your speech must be better than your silence would have been. — Arabian proverb

Catagolue: Apple Bottom • Life Wiki: Apple Bottom • Twitter: @_AppleBottom_

Proud member of the Pattern Raiders!

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

### Re: Non-totalistic hex rules

B2-p/S2-m5 is sufficiently interesting. It has this cool p19 failed replicator that turns into two puffers:

Code: Select all

``````x = 4, y = 3, rule = B2-p_S2-m5
o\$2bo\$2b2o!
``````
It can be hassled by 2-cell oscillators at period 76:

Code: Select all

``````x = 26, y = 25, rule = B2-p_S2-m5
9bo2\$o9bo\$o5\$14bo\$15b2o\$13bo2bo\$15bo10\$25bo\$15bo9bo2\$16bo!
``````
It also has a spaceship that forms from the pre-pre-beehive (which is another failed replicator), and a relative that travels at the same speed:

Code: Select all

``````x = 45, y = 26, rule = B2-p_S2-m5
10bobo\$11b2o\$12bo2\$13bo\$10b2o4b2o7\$14bo5bo\$16bo2bo4\$18b4o2\$40b2o3\$22bo
19bo\$o20bo2bo16bo2bo\$2o21bo19bo\$bo21b2o18b2o!
``````
There's a p11 that looks like its period:

Code: Select all

``````x = 3, y = 3, rule = B2-p_S2-m5
obo\$obo\$obo!
``````
9-cell breeder, although 8 cells is probably all that's needed:

Code: Select all

``````x = 6, y = 11, rule = B2-p_S2-m5
3bo2\$4bo\$4b2o\$5bo4\$o\$2o\$bo!
``````
If we can create a flyby with a bigship and a p2 that creates another bigship, we may have a gun! That or rubbing the p76s' against eachother. Here's the best flyby I have:

Code: Select all

``````x = 16, y = 40, rule = B2-p_S2-m5
obo\$b2o\$2bo2\$3bo\$2o4b2o7\$4bo5bo\$6bo2bo4\$8b4o5\$12bo\$11bo2bo\$13bo\$13b2o
13\$13bo\$15bo!
``````
\100\97\110\105

_zM
Posts: 173
Joined: June 26th, 2016, 3:07 pm

### Re: Non-totalistic hex rules

Apple Bottom wrote:I think that this is proof that good ideas tend to be had by more than one person. This notation already exists, see e.g. the wiki.
Oh, I didn't know that. Pretty nice rulespace regardless, especially considering that there are barely any (if any) interesting/Class 4 rules in the standard hexagonal rulespace, while this has multiple rules with decently complicated dynamics.
Creator of multiple rules that may or may not be what you'd expect

strake
Posts: 26
Joined: October 8th, 2014, 7:47 am
Location: Mountain View, California
Contact:

### Re: Non-totalistic hex rules

I discovered an interesting rule, B2o45/S2o45 a few years ago. Gliders and simple oscillators are extremely common; still lifes are quite uncommon (but possible).

Saka
Posts: 3559
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

### Re: Non-totalistic hex rules

Well this is cool

Code: Select all

``````x = 75, y = 84, rule = B2o3o_S2o3o4op
bo3bo\$3bob2o\$2bobob2o\$3bo2b2o\$7bo\$4b2obo35bo\$4bo3bo36bo\$5bo42b3o\$5b2o
3bo35bo2b3o\$7bo37bo2bo2bo\$9b3o39b2o2\$48b4o\$48bo2b2o\$52bo\$52bo21\$23bo9b
o\$25bo6bo\$27bo3bo32b2o\$29b2o\$30bo\$61bo\$31bo2\$bo30bo37bo\$4obo66bo\$bobob
o27bo34bo3b2o\$b2o6bo59b3ob2o\$2b4o2b2o61b4o\$3b3o67bo\$5b4o34b2o\$10bo31bo
2bo\$45b2o23\$34bo28bo\$35bo26bobo\$32bo2bo27b3o2b2o\$33bo4bo25b2obo3bo\$32b
o4bo27bobo4bo\$31b3obobo29bo\$32bo2b3o29b3o\$32b6o30b3o\$34b3o!
``````

Code: Select all

``````x = 43, y = 43, rule = B2o3o4o_S2o3op46
b2o5b2o\$2o8b2o\$b2o7b2o\$bo10bo\$2bo3b3o3bo\$7b2o\$8bo4\$8bobobo\$9b4o\$11bo
18\$31b2o5b2o\$30b2o8b2o\$31b2o7b2o\$31bo10bo\$32bo3b3o3bo\$37b2o\$38bo4\$38bo
bobo\$39b4o\$41bo!
``````

Code: Select all

``````o3b2ob2obo3b2o2b2o\$bo3b2obob3o3bo2bo\$2bo2b3o5b3ob4o\$3o3bo2bo2b3o3b3o\$
4bo4bobo4bo\$2o2b2o2b4obo2bo3bo\$2ob4o3bo2bo2bo2bo\$b2o3bobob2o\$3bobobo5b
obobobo\$3bobobob2o3bo2bobo!
``````
(Check gen 3)

toroidalet
Posts: 1141
Joined: August 7th, 2016, 1:48 pm
Location: My computer
Contact:

### Re: Non-totalistic hex rules

chaotic replicator-based (20,20)c/412 ship (hexagonal speed):

Code: Select all

``````x = 98, y = 105, rule = B2o3o4o_S2o3op46
26b2o5b2o21b2o5b2o\$25b2o8b2o18b2o8b2o\$26b2o7b2o19b2o7b2o\$26bo10bo18bo
10bo\$27bo3b3o3bo19bo3b3o3bo\$32b2o28b2o\$33bo29bo4\$33bobobo25bobobo\$34b
4o26b4o\$36bo29bo18\$86b2o5b2o\$85b2o8b2o\$86b2o7b2o\$86bo10bo\$87bo3b3o3bo\$
92b2o\$93bo4\$93bobobo\$94b4o\$96bo18\$86b2o5b2o\$33bo51b2o8b2o\$32b4o50b2o7b
2o\$33b3o50bo10bo\$o29bo3b2o3bo29bo17bo3b3o3bo\$o34bo34bo21b2o\$5b2o24bo8b
o24b2o26bo\$5b3o24bobo3bobo24b3o\$5b4o24b2o4b2o24b4o\$6b3o57b3o\$26b3o18b
3o43bobobo\$25bo2b2o17b2o2bo42b4o\$16bo8bob3o2bo12bo2b3obo8bo34bo\$16bo9b
2o2b2o15b2o2b2o9bo\$22b2o2b2o3bo16bo3b2o2b2o\$24b2o6b2o13b2o6b2o\$23b2ob
2o4b3o12b3o4b2ob2o\$25bob2ob3obo13bob3ob2obo\$26bobob2o2bo14bo2b2obobo\$
27bobo2b2o17b2o2bobo\$21b2o5b2o26b2o5b2o\$22b2o4bobo25bobo4b2o\$22b3o5bo
26bo5b3o\$24bo39bo5\$31b2o28b2o8\$35b2o28b2o\$35b3o27b3o\$35b4o26b4o\$36b3o
27b3o5\$39b2o28b2o!
``````
(10,10)c/294 (hexagonal speed) ship:

Code: Select all

``````x = 11, y = 52, rule = B2o3o4o_S2o3op46
o9\$8b3o\$o8b2o\$10bo29\$o9\$8b3o\$o8b2o\$10bo!
``````
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

_zM
Posts: 173
Joined: June 26th, 2016, 3:07 pm

### Re: Non-totalistic hex rules

This rulespace is now supported by apgsearch/Catagolue You can now use apgsearch 4.x to upload hauls from this rulespace to Catagolue. Example hauls have already been uploaded.
Last edited by _zM on December 1st, 2018, 6:34 pm, edited 1 time in total.
Creator of multiple rules that may or may not be what you'd expect

calcyman
Posts: 2289
Joined: June 1st, 2009, 4:32 pm

### Re: Non-totalistic hex rules

_zM wrote:This rulespace is now supported by apgsearch/Catagolue. Example hauls have already been uploaded.
That statement is half-correct. Currently the /hashsoup links give you the wrong output (you need to reflect them to get the correct orientation).

And of course, some of the symmetries are meaningless for hexagonal rules; I should really add new symmetries:
• C3_1
• C3_3
• C6
• D6_1
• D6_3
• D12
and properly adapt the D2, C2, and D4 (ouch!) classes of symmetries for hexagonal rules.

So for the moment I've disabled all of the non-C1 symmetries for hexagonal rules, and will think hard about what the other symmetries should be.
What do you do with ill crystallographers? Take them to the mono-clinic!

Apple Bottom
Posts: 1034
Joined: July 27th, 2015, 2:06 pm
Contact:

### Re: Non-totalistic hex rules

calcyman wrote:
_zM wrote:This rulespace is now supported by apgsearch/Catagolue. Example hauls have already been uploaded.
That statement is half-correct. [...]
Half-correct even, this is excellent! However, it's not just /hashsoup that's broken; Catagolue also does not believe that the apgcodes produced are in fact correct for these rules, instead stating that "[t]he apgcode prefix does not accurately reflect the behaviour of the pattern encoded in the suffix under the specified rule. As such, the provided apgcode is invalid in this rule".
If you speak, your speech must be better than your silence would have been. — Arabian proverb

Catagolue: Apple Bottom • Life Wiki: Apple Bottom • Twitter: @_AppleBottom_

Proud member of the Pattern Raiders!

calcyman
Posts: 2289
Joined: June 1st, 2009, 4:32 pm

### Re: Non-totalistic hex rules

Apple Bottom wrote:Half-correct even, this is excellent! However, it's not just /hashsoup that's broken; Catagolue also does not believe that the apgcodes produced are in fact correct for these rules, instead stating that "[t]he apgcode prefix does not accurately reflect the behaviour of the pattern encoded in the suffix under the specified rule. As such, the provided apgcode is invalid in this rule".
Thanks -- I've amended hashsoup, SVGs, and object pages. For 2-state outer-totalistic rules, the LifeViewers on the object pages work as desired:

https://catagolue.appspot.com/object/xp48_76h/b2s34h
What do you do with ill crystallographers? Take them to the mono-clinic!

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Non-totalistic hex rules

There's also the issue that along with not being animated, the svgs are shown using a square grid while lifeviewer shows them using an offset square grid to simulate a hexagonal grid; I'd say this is a minor issue.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Non-totalistic hex rules

This spaceship seems to have some sort of gutter symmetry:

Code: Select all

``````x = 7, y = 5, rule = B2o/S2m34H
6bo\$bob4o\$b2obobo\$bobob2o\$4o!
``````
Might be worth including this in the batch of planned symmetries for hex apgsearch.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Saka
Posts: 3559
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

### Re: Non-totalistic hex rules

muzik wrote:This spaceship seems to have some sort of gutter symmetry:

Code: Select all

``````x = 7, y = 5, rule = B2o/S2m34H
6bo\$bob4o\$b2obobo\$bobob2o\$4o!
``````
Might be worth including this in the batch of planned symmetries for hex apgsearch.
The other possible variants

Code: Select all

``````x = 22, y = 22, rule = B2o_S2m34H
6bo\$bob4o\$b2obobo\$bobob2o\$4o\$21bo\$18b4o\$19bobo\$18bob2o\$18b2o\$18bobo\$
17b4o5\$11bo\$8b4o\$7bobobo\$7b2ob2o\$7bobo\$6b4o!
``````

Code: Select all

``````o3b2ob2obo3b2o2b2o\$bo3b2obob3o3bo2bo\$2bo2b3o5b3ob4o\$3o3bo2bo2b3o3b3o\$
4bo4bobo4bo\$2o2b2o2b4obo2bo3bo\$2ob4o3bo2bo2bo2bo\$b2o3bobob2o\$3bobobo5b
obobobo\$3bobobob2o3bo2bobo!
``````
(Check gen 3)

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Non-totalistic hex rules

Interesting nt hex patterns, only one of which were found by me:

Code: Select all

``````x = 48, y = 9, rule = B2o3o4m5/S2H
bo19bo19bo\$3o17b3o17b3o3\$46bo\$41bo4bo\$41b2o3b2o\$24b3o16bo\$25bo!``````

Code: Select all

``````x = 4, y = 4, rule = B2o3op4m5/S13m4p6H
2bo\$bobo\$o2bo\$b2o!``````

Code: Select all

``````x = 4, y = 3, rule = B2o3o4m5/S2H
4o\$b3o\$b2o!``````
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Non-totalistic hex rules

Quoting these posts for lifeviewer compatibility purposes:
drc wrote:
September 29th, 2017, 6:47 pm
B2-p/S2-m5 is sufficiently interesting. It has this cool p19 failed replicator that turns into two puffers:

Code: Select all

``````x = 4, y = 3, rule = B2-p_S2-m5H
o\$2bo\$2b2o!
``````
It can be hassled by 2-cell oscillators at period 76:

Code: Select all

``````x = 26, y = 25, rule = B2-p_S2-m5H
9bo2\$o9bo\$o5\$14bo\$15b2o\$13bo2bo\$15bo10\$25bo\$15bo9bo2\$16bo!
``````
It also has a spaceship that forms from the pre-pre-beehive (which is another failed replicator), and a relative that travels at the same speed:

Code: Select all

``````x = 45, y = 26, rule = B2-p_S2-m5H
10bobo\$11b2o\$12bo2\$13bo\$10b2o4b2o7\$14bo5bo\$16bo2bo4\$18b4o2\$40b2o3\$22bo
19bo\$o20bo2bo16bo2bo\$2o21bo19bo\$bo21b2o18b2o!
``````
There's a p11 that looks like its period:

Code: Select all

``````x = 3, y = 3, rule = B2-p_S2-m5H
obo\$obo\$obo!
``````
9-cell breeder, although 8 cells is probably all that's needed:

Code: Select all

``````x = 6, y = 11, rule = B2-p_S2-m5H
3bo2\$4bo\$4b2o\$5bo4\$o\$2o\$bo!
``````
If we can create a flyby with a bigship and a p2 that creates another bigship, we may have a gun! That or rubbing the p76s' against eachother. Here's the best flyby I have:

Code: Select all

``````x = 16, y = 40, rule = B2-p_S2-m5H
obo\$b2o\$2bo2\$3bo\$2o4b2o7\$4bo5bo\$6bo2bo4\$8b4o5\$12bo\$11bo2bo\$13bo\$13b2o
13\$13bo\$15bo!
``````
Saka wrote:
April 20th, 2018, 8:20 am
Well this is cool

Code: Select all

``````x = 75, y = 84, rule = B2o3o_S2o3o4-mH
bo3bo\$3bob2o\$2bobob2o\$3bo2b2o\$7bo\$4b2obo35bo\$4bo3bo36bo\$5bo42b3o\$5b2o
3bo35bo2b3o\$7bo37bo2bo2bo\$9b3o39b2o2\$48b4o\$48bo2b2o\$52bo\$52bo21\$23bo9b
o\$25bo6bo\$27bo3bo32b2o\$29b2o\$30bo\$61bo\$31bo2\$bo30bo37bo\$4obo66bo\$bobob
o27bo34bo3b2o\$b2o6bo59b3ob2o\$2b4o2b2o61b4o\$3b3o67bo\$5b4o34b2o\$10bo31bo
2bo\$45b2o23\$34bo28bo\$35bo26bobo\$32bo2bo27b3o2b2o\$33bo4bo25b2obo3bo\$32b
o4bo27bobo4bo\$31b3obobo29bo\$32bo2b3o29b3o\$32b6o30b3o\$34b3o!
``````

Code: Select all

``````x = 43, y = 43, rule = B2o3o4o_S2o3op46H
b2o5b2o\$2o8b2o\$b2o7b2o\$bo10bo\$2bo3b3o3bo\$7b2o\$8bo4\$8bobobo\$9b4o\$11bo
18\$31b2o5b2o\$30b2o8b2o\$31b2o7b2o\$31bo10bo\$32bo3b3o3bo\$37b2o\$38bo4\$38bo
bobo\$39b4o\$41bo!
``````
toroidalet wrote:
April 20th, 2018, 11:03 am
chaotic replicator-based (20,20)c/412 ship (hexagonal speed):

Code: Select all

``````x = 98, y = 105, rule = B2o3o4o_S2o3op46H
26b2o5b2o21b2o5b2o\$25b2o8b2o18b2o8b2o\$26b2o7b2o19b2o7b2o\$26bo10bo18bo
10bo\$27bo3b3o3bo19bo3b3o3bo\$32b2o28b2o\$33bo29bo4\$33bobobo25bobobo\$34b
4o26b4o\$36bo29bo18\$86b2o5b2o\$85b2o8b2o\$86b2o7b2o\$86bo10bo\$87bo3b3o3bo\$
92b2o\$93bo4\$93bobobo\$94b4o\$96bo18\$86b2o5b2o\$33bo51b2o8b2o\$32b4o50b2o7b
2o\$33b3o50bo10bo\$o29bo3b2o3bo29bo17bo3b3o3bo\$o34bo34bo21b2o\$5b2o24bo8b
o24b2o26bo\$5b3o24bobo3bobo24b3o\$5b4o24b2o4b2o24b4o\$6b3o57b3o\$26b3o18b
3o43bobobo\$25bo2b2o17b2o2bo42b4o\$16bo8bob3o2bo12bo2b3obo8bo34bo\$16bo9b
2o2b2o15b2o2b2o9bo\$22b2o2b2o3bo16bo3b2o2b2o\$24b2o6b2o13b2o6b2o\$23b2ob
2o4b3o12b3o4b2ob2o\$25bob2ob3obo13bob3ob2obo\$26bobob2o2bo14bo2b2obobo\$
27bobo2b2o17b2o2bobo\$21b2o5b2o26b2o5b2o\$22b2o4bobo25bobo4b2o\$22b3o5bo
26bo5b3o\$24bo39bo5\$31b2o28b2o8\$35b2o28b2o\$35b3o27b3o\$35b4o26b4o\$36b3o
27b3o5\$39b2o28b2o!
``````
(10,10)c/294 (hexagonal speed) ship:

Code: Select all

``````x = 11, y = 52, rule = B2o3o4o_S2o3op46H
o9\$8b3o\$o8b2o\$10bo29\$o9\$8b3o\$o8b2o\$10bo!
``````
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!