## B2c3aj4nrt5i6c7e/S1c2-en3enr4aet5cey6c7e

For discussion of other cellular automata.
muzik
Posts: 3774
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### B2c3aj4nrt5i6c7e/S1c2-en3enr4aet5cey6c7e

This is a minimal-transition version of the rule B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67, a rule discovered by A for awesome which supports an arbitrary amount of speeds of the form c/n where n is an odd number over 4.

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``````x = 38, y = 10, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
36bo\$29bo5bobo\$22bo5bobo4bobo\$15bo5bobo4bobo5bo\$8bo5bobo4bobo5bo6bo\$bo
5bobo4bobo5bo6bo6bo\$obo4bobo5bo6bo6bo6bo\$obo5bo6bo6bo6bo6bo\$bo6bo6bo6b
o6bo6bo\$3o4b3o4b3o4b3o4b3o4b3o!
``````
One thing of major importance here is the existence of this elementary c/2 spaceship:

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``````x = 3, y = 2, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
obo\$3o!
``````
With the existence of this spaceship, could syntheses for the systematic spaceships be made?

Universal eater:

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``````x = 105, y = 7, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
104bo\$103bo\$o47b2o4bo15b2o4bo3b2o4bo2b2o4bob2o\$48o2bo3b16o2bo3b4o2bo3b
3o2bo3b2o2bo\$o47b2o4bo15b2o4bo3b2o4bo2b2o4bob2o\$103bo\$104bo!
``````
Rule table:

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``````@RULE B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e

*** File autogenerated by saverule. ***

This is a two state, isotropic, non-totalistic rule on the Moore neighbourhood.
The notation used to define the rule was originally proposed by Alan Hensel.
See http://www.ibiblio.org/lifepatterns/neighbors2.html for details

@TABLE

n_states:2
neighborhood:Moore
symmetries:rotate4reflect

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

# Birth
0,0,1,0,1,0,0,0,0,1
0,1,1,1,0,0,0,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,1,0,1,0,0,0,1
0,1,1,0,1,0,0,0,1,1
0,1,1,0,0,1,0,0,1,1
0,1,1,1,1,1,0,0,0,1
0,1,1,1,1,1,0,1,0,1
0,1,1,1,1,1,1,0,1,1

# Survival
1,0,1,0,0,0,0,0,0,1
1,1,1,0,0,0,0,0,0,1
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
1,1,1,0,1,0,0,0,0,1
1,1,1,0,0,1,0,0,0,1
1,1,0,1,0,1,0,0,0,1
1,1,1,1,1,0,0,0,0,1
1,1,1,0,0,1,0,0,1,1
1,1,0,1,0,1,0,1,0,1
1,1,1,1,0,1,0,1,0,1
1,1,1,0,1,1,0,1,0,1
1,1,1,0,1,0,1,0,1,1
1,1,1,1,1,1,0,1,0,1
1,1,1,1,1,1,1,0,1,1

# Death
1,a,b,c,d,e,f,g,h,0

@COLORS

@ICONS

circles``````
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Hdjensofjfnen
Posts: 1481
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: B2c3aj4nrt5i6c7e/S1c2-en3enr4aet5cey6c7e

This essentially does the same thing, except only in the right period:

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``````x = 22, y = 20, rule = B2c3aj4nrt5i6c7e/S1c2-en3enr4aet5cey6c7e
3bo14bo\$2bobo12bobo\$3bo14bo2\$bo3bo9b2o3b2o\$2o3b2o8bo5bo4\$3bo14bo\$2bobo
12bobo\$2bobo12bobo\$3bo14bo\$3bo14bo\$3bo14bo\$3bo14bo\$3bo14bo\$3bo14bo\$3bo
14bo\$2b3o12b3o!
``````
EDIT: A "What the flip?" 2G:

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``````x = 8, y = 3, rule = B2c3aj4nrt5i6c7e/S1c2-en3enr4aet5cey6c7e
2o4b2o\$o6bo\$2o4b2o!
``````
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

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``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

muzik
Posts: 3774
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: B2c3aj4nrt5i6c7e/S1c2-en3enr4aet5cey6c7e

Some syntheses:

c/5:

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``````x = 14, y = 15, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
6b3o\$7bo5\$o8bo3bo\$2o6b2o2b2o\$o8bo3bo5\$7bo\$6b3o!
``````

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``````x = 13, y = 15, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
5b3o\$6bo5\$o6bo4bo\$2o4b2o3b2o\$o6bo4bo5\$6bo\$5b3o!
``````
c/7:

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``````x = 25, y = 29, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
16b3o\$17bo6\$17b3o\$18bo5\$o10bo8bo3bo\$2o9b2o6b2o2b2o\$o10bo8bo3bo5\$18bo\$
17b3o6\$17bo\$16b3o!
``````
c/9:

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``````x = 13, y = 31, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
4b3o\$5bo7\$5b3o\$6bo5\$o6bo4bo\$2o4b2o3b2o\$o6bo4bo5\$6bo\$5b3o7\$5bo\$4b3o!
``````
c/13:

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``````x = 49, y = 31, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
22b3o7b3o\$22bobo8bo7\$25b3o\$26bo2\$6bo\$6b2o\$6bo\$19bo8bo3bo15bo\$o18b2o6b
2o2b2o14b2o\$2o17bo8bo3bo15bo\$o5bo\$6b2o\$6bo2\$26bo\$25b3o7\$22bobo8bo\$22b
3o7b3o!
``````

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``````x = 22, y = 11, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
21bo\$20b2o\$21bo2\$o17bo\$2o10b2o3b2o\$o11bo5bo\$12b2o\$21bo\$20b2o\$21bo!
``````
c/15:

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``````x = 22, y = 33, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
4b3o\$4bobo10\$9bo\$b3o4b2o\$bobo5bo2\$20b2o\$21bo\$20b2o2\$bo7bo\$3o5b2o\$9bo
10\$4bobo\$4b3o!
``````

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``````x = 25, y = 19, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
15bo\$8b2o4b2o\$8bo6bo\$8b2o2\$o23bo\$2o21b2o\$o6bobo5bobo6bo\$7b3o5b3o9\$12bo
\$11b3o!
``````
c/21:

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``````x = 61, y = 105, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
47b3o\$48bo7\$49b3o\$50bo23\$52b3o\$53bo14\$50bo\$50b2o\$50bo\$53bo\$o8bo6bo3bo
5b2o2b2o21b2o4b2o\$2o7b2o5b2o2b2o4bo3bo22bo6bo\$o8bo6bo3bo5b2o2b2o27b2o
2\$50bo\$50b2o\$50bo14\$53bo\$52b3o23\$50bo\$49b3o7\$48bo\$47b3o!
``````
Easy reaction to make ships of arbitrary speeds:

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``````x = 3, y = 37, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
3o\$bo\$obo\$obo\$bo5\$bo\$3o4\$bo\$3o5\$bo\$3o6\$bo\$3o7\$bo\$3o!
``````
Speeding up is possible too:

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``````x = 3, y = 23, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
3o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$obo\$obo\$obo\$obo\$bo2\$obo\$3o5\$obo\$3o!
``````
Hive extender:

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``````x = 9, y = 17, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
3b3o\$4bo3\$bo5bo\$o7bo3\$4bo\$3bobo\$3bobo\$3bobo\$3bobo\$3bobo\$3bobo\$3bobo\$4b
o!
``````

Kind of saddening that there doesn't seem to be any reactions that could result in a small gun.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!