X-Rule

For discussion of other cellular automata.
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A for awesome
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Re: X-Rule

Post by A for awesome » November 1st, 2015, 6:36 pm

M. I. Wright wrote: The rule-table format is pretty straightforward as well. First comes the header:

Code: Select all

@RULE <rulename>

comments can go here, or included below if preceded by a #

@TABLE
n_states:2            #number of cell states. X-rule only has two (on and off), but Golly supports up to 256
neighborhood:Moore    #self-explanatory. Other neighborhoods include vonNeumann and hexagonal
After that is the transitions. This is the format for a Moore neighborhood:

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s,1,2,3,4,5,6,7,8,f
where 's' stands for 'starting cell state' and 'f' means 'final'. The numbers follow this configuration:

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8 1 2
7 s 3
6 5 4
For instance, the transition

Code: Select all

0,1,1,1,0,1,1,0,0,1
means that in

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1 1 1
0 0 1
1 1 0
the middle cell (0) will become 1.

Hope this clears things up! You can look in Golly's Help menu for more details.
In the header, shouldn't there also be a symmetries line:

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symmetries:none       #also supports permute, rotate8reflect, rotate4reflect, rotate6reflect(for hexagonal), rotate4, rotate6(also hexagonal) and I'm not sure what else
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

jmgomez
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Re: X-Rule

Post by jmgomez » November 1st, 2015, 6:41 pm

Good Job danieldb!

Nice's puffers

:)

-jm

jmgomez
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Re: X-Rule

Post by jmgomez » November 1st, 2015, 7:53 pm

M. I. Wright,

Thanks for explain to me Golly the rule-table format.

Best Regards
-jm

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danieldb
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Re: X-Rule

Post by danieldb » November 1st, 2015, 8:11 pm

FIRST KNOWN GUN:

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x = 26, y = 11, rule = x-rule
o24bo$o24bo$2bo20bo$bo22bo$2bo20bo$o24bo$o24bo4$3b2o!
Remove the domino to make it double-barreled. It only works in one direction, sadly.

Piston:

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x = 22, y = 12, rule = x-rule
2o6b2o$3bo2bo$2bo4bo$3bo2bo$2o6b2o3$2o18b2o$3bo2bo2bo2bo2bo2bo$2bo4b2o
4b2o4bo$3bo2bo2bo2bo2bo2bo$2o18b2o!
Edit: Yet another gun:

Code: Select all

x = 25, y = 7, rule = x-rule
o23bo$o23bo$2bo19bo$bo21bo$2bo19bo$o23bo$o23bo!
Edit2: Sucker using the second gun:

Code: Select all

x = 25, y = 74, rule = x-rule
12bo$12bo66$o23bo$o23bo$2bo19bo$bo21bo$2bo19bo$o23bo$o23bo!
Last edited by danieldb on November 1st, 2015, 8:14 pm, edited 1 time in total.
moved to drc

M. I. Wright
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Re: X-Rule

Post by M. I. Wright » November 1st, 2015, 8:13 pm

danieldb wrote:FIRST KNOWN GUN:

Code: Select all

x = 26, y = 11, rule = x-rule
o24bo$o24bo$2bo20bo$bo22bo$2bo20bo$o24bo$o24bo4$3b2o!
No, it's not... guns were discussed extensively in the paper, and I even posted the two in figure 5.1 (yours is referred to as 'GGa') on the first page. If you can't find the paper (it took me a while to figure out where to click) it's right here.
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God save humanity.

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danieldb
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Re: X-Rule

Post by danieldb » November 1st, 2015, 8:15 pm

M. I. Wright wrote:
danieldb wrote:FIRST KNOWN GUN:

Code: Select all

x = 26, y = 11, rule = x-rule
o24bo$o24bo$2bo20bo$bo22bo$2bo20bo$o24bo$o24bo4$3b2o!
No, this one was mentioned in the paper and I even posted it on the first page. If you can't find the paper (it took me a while to figure out where to click) it's right here.
:(
moved to drc

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Re: X-Rule

Post by M. I. Wright » November 1st, 2015, 8:21 pm

On a different note, how easy would it be to make a universal constructor in this rule? Here are push/pull/fire salvos for a vertical construction arm:

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x = 43, y = 28, rule = x-rule
6b2o17b2o13b2o7$3bo$2bobo20bo15bo$24bobo13bobo$2bobo$24bobo13bobo5$41b
o$25bo14bobo$24bobo$40bobo$24bobo4$bo$obo2$obo!
and I think GGb could act as an inserter; I'm worried about the fact that it's technically two-barreled, though. You COULD use GGa to synthesize the orthogonal ships, but the non-isotropy means that it can only synthesize horizontally-traveling ships, which means that the FIRE salvo wouldn't work.
Edit: oops, I didn't check syntheses before posting... it can act as an edge-shooter for vertical spaceships, which I guess is good enough. A UC could probably be designed in a similar way to Chris Cain's constant-size Gödel encoded one from a while ago.
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jmgomez
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Re: X-Rule

Post by jmgomez » November 2nd, 2015, 12:58 am

Daniel R. Collazo,

Really Nice you:

1) Puffer Train
2) Rake
3) Pre-Block Puffer
4) Domino Puffer
5) Collider

etc...

awesome!

:)

-jm

thunk
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Re: X-Rule

Post by thunk » November 2nd, 2015, 1:44 am

jmgomez wrote:2) Rake
I think it was A for Awesome that made the original backrake(s).

The rest is the obvious consequence of glider collisions.
"What's purple and commutes?
The Evanston Express."

jmgomez
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Re: X-Rule

Post by jmgomez » November 2nd, 2015, 4:13 pm

Compound GliderGun-a, allow to send glider-a to any direction.


Compound GliderGun-a North-East.

Code: Select all

 #CXRLE Pos=2,2
x = 80, y = 81, rule = x-rule
17b2o$21bo$12b2o5bo18b2o$13bo10bo13bo$15b2o18b2o$14bo7bo3bo10bo$15b2o
18b2o$13bo10bo13bo$12b2o5bo18b2o38bo$19bobo56b2o8$10bo2$10b2o2$6bobo3$
6b3o$7bo3$2o$bo3$16b2o2$16bo3$12b2o24b2o$13bo24bo$22b2o4b2o$21bo8bo$
22b2o4b2o$13bo24bo$12b2o24b2o2$17b2o4$36bobo$38bo9$6bobo2$6bobo$7bo6$
17bobo$19bo10$4bo$4b2o!
Compound GliderGun-a South-East.

Code: Select all

 #CXRLE Pos=2,2
x = 91, y = 83, rule = x-rule
6b2o$6bo9$20bo$18bobo9$9bo$8bobo2$8bobo6$39bo$37bobo7$19b2o2$14b2o24b
2o$15bo24bo$24b2o4b2o$23bo8bo$24b2o4b2o$15bo24bo$14b2o24b2o3$18bo39bo$
56bobo$18b2o2$bo$2o4$9bo$8b3o3$8bobo2$12b2o2$12bo2$77bo$75bobo5$21bobo
$14b2o5bo18b2o$15bo10bo13bo$17b2o18b2o$16bo7bo3bo10bo$17b2o18b2o$15bo
10bo13bo$14b2o5bo18b2o$23bo65b2o$19b2o68bo! 

Compound GliderGun-a North-West.

Code: Select all

 
#CXRLE Pos=2,2
x = 77, y = 46, rule = x-rule

bo52b2o$2o56bo$49b2o5bo18b2o$50bo10bo13bo$5b2o45b2o18b2o$51bo7bo3bo10b
o$5bo46b2o18b2o$50bo10bo13bo$49b2o5bo18b2o$56bobo8$47bo2$47b2o4$24b2o
17bobo$43bo$24bo3$37b2o$38bo3$53b2o2$53bo3$49b2o24b2o$44bo5bo24bo$59b
2o4b2o$42bo3bo11bo8bo$59b2o4b2o$43bobo4bo24bo$44bo4b2o24b2o$46bo$45b2o
7b2o!
Compound GliderGun-a South-West.

Code: Select all

#CXRLE Pos=2,2
x = 77, y = 46, rule = x-rule
45b2o7b2o$46bo$49b2o24b2o$50bo24bo$59b2o4b2o$58bo8bo$59b2o4b2o$50bo24b
o$49b2o24b2o3$33bo19bo$33bobo$53b2o2$36bo$35b2o4$44bo$43b3o3$43bobo2$
47b2o2$47bo2$14bo$14bobo5$56bobo$49b2o5bo18b2o$50bo10bo13bo$52b2o18b2o
$51bo7bo3bo10bo$52b2o18b2o$50bo10bo13bo$49b2o5bo18b2o$2o56bo$bo52b2o!
Gomez-Soto,JM., and A.Wuensche,“The X-rule: universal computation in a
non-isotropic Life-like Cellular Automaton”,
JCA, Vol 10, No.3-4, 261-294, 2015.
preprint: \url{http://arxiv.org/abs/1504.01434/

-jm

jmgomez
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Re: X-Rule

Post by jmgomez » November 2nd, 2015, 4:24 pm

Yes!

You are right thunk, was awesome the author of rake.

-jm

jmgomez
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Re: X-Rule

Post by jmgomez » November 2nd, 2015, 4:27 pm

The FIRST KNOWN GUN, was Glider Gun b.

-jm

jmgomez
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Logical Gates in X-Rule

Post by jmgomez » November 2nd, 2015, 8:43 pm

Logical Gates in X-Rule


Logical Gate OR

Example: OR(1101,0111)-> 1111

Code: Select all

#CXRLE Pos=31,1
x = 284, y = 328, rule = x-rule
6b2o$6bo5$16bo$14bobo18$35bo$33bobo2$9bo$8bobo2$8bobo6$19b2o$22b2o$14b
2o24b2o$15bo3bo2bo13bo3bo$17bo7bobo10bo$16bo4bo12bo4bo$17bo7bobo10bo$
15bo3bo2bo13bo3bo13bo$14b2o24b2o10bobo$22b2o6$bo$2o$12bo$12bobo5$8b2o
3$73bo$71bobo3$16b2o2$16bo5$14b2o24b2o$15bo24bo$24bobo2bobo$23bo8bo$
24bobo2bobo$15bo24bo$14b2o24b2o2$19b2o71bo$90bobo22$35bo$33bobo18$54bo
$52bobo18$73bo$71bobo41$35bo$33bobo37$73bo78b2o$71bobo78bo21$19b2o2$
14b2o24b2o$15bo24bo$24bobo2bobo$23bo8bo$24bobo2bobo$15bo24bo$14b2o24b
2o5$16bo2$16b2o3$71bobo$73bo3$8b2o5$12bobo$12bo$2o280b2o$bo280bo6$22b
2o$14b2o24b2o10bobo$15bo3bo2bo13bo3bo13bo$17bo7bobo10bo$16bo4bo12bo4bo
$17bo7bobo10bo$15bo3bo2bo13bo3bo$14b2o24b2o$22b2o$19b2o6$8bobo2$8bobo$
9bo2$33bobo$35bo18$14bobo$16bo5$6bo$6b2o!


Logical Gate AND

Example: AND(1101,0111)-> 0101

Code: Select all

#CXRLE Pos=19,61
x = 245, y = 227, rule = x-rule
31bo$29bobo18$50bo$48bobo18$69bo$67bobo41$31bo$29bobo8$144bo$144b2o28$
69bo$67bobo18$88bo$86bobo6$19b2o2$14b2o24b2o$15bo24bo45bobo$20b2o12b2o
52bo$19bo16bo$20b2o12b2o$15bo24bo$14b2o24b2o$20bo2$20b2o8$10bo$10bobo$
7b2o$67bobo$7bo61bo6$2o$bo$16bobo$16bo5$14b2o24b2o$15bo24bo$25bo4bo$
24bo6bo$25bo4bo17bobo$15bo24bo9bo$8bobo3b2o24b2o2$8bobo8b2o$9bo14$29bo
bo$31bo8$243b2o$243bo9$10bobo$12bo$6bo$6b2o!



Logical Gate NOT

Example: NOT(1101)-> 0010

Code: Select all

#CXRLE Pos=24,42
x = 255, y = 247, rule = x-rule
253bo$253b2o99$31bo$31bo$30bo36$69bo$69bo$68bo17$88bo$88bo$87bo5$19b2o
2$14b2o24b2o45bo$15bo24bo47bo$19bobo12bobo51bo$22bo10bo$19bobo12bobo$
15bo24bo$14b2o24b2o2$19bo$20b2o8$10bo$10bo$7b2o2bo56bo$6bo62bo$69bo6$
2o$bo15bo$16bo$16bo5$14b2o24b2o$15bo24bo$24b2o4b2o$26bo2bo19bo$24b2o4b
2o18bo$9bo5bo24bo9bo$9bo4b2o24b2o$7b2ob2o$8bobo8b2o$8bobo13$30bo$31bo$
31bo8$243b2o$243bo8$11bo$12bo$12bo$6bo$6b2o!
-jm

wildmyron
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Re: X-Rule

Post by wildmyron » November 3rd, 2015, 5:03 am

M. I. Wright wrote:By the way, I kinda doubt that guns are impossible in the isometric X-rule predecessor... I'll make a ruletable for it soon to search around for one.
My thoughts precisely. Hopefully I've managed to interpret the rule correctly - if so, the the X-rule precursor in Alan Hensel's notation is B2eic3ic4rnj5ink/S12aen3c4qiyne5re6aei8. Let's call it x-rule-pre for short. Here's a ruletable:

Code: Select all

@RULE x-rule-pre
This rule is B2eic3ic4rnj5ink_S12aen3c4qiyne5re6aei8
It is an isotropic 'precursor' rule to a non-isotropic rule known as x-rule which has been shown to support logic universality by J.M. Gomez-Soto and A. Wuensche.

** NOTE ** This rule-table was incorrectly posted as the precursor to the x-rule. In fact it is very similar but the actual precursor rule additionally has S2i but not S3c.

[1] Gomez-Soto,JM., and A.Wuensche,“The X-rule: universal computation in a
non-isotropic Life-like Cellular Automaton”

*** 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
0,1,0,1,0,0,0,0,0,1
0,1,0,0,0,1,0,0,0,1
0,0,1,0,1,0,0,0,0,1
0,1,1,0,0,0,0,0,1,1
0,0,1,0,1,0,1,0,0,1
0,1,1,1,0,1,0,0,0,1
0,1,1,0,1,0,0,0,1,1
0,1,1,0,0,1,0,1,0,1
0,1,1,1,1,1,0,0,0,1
0,1,1,1,1,0,0,1,0,1
0,1,1,0,1,0,1,1,0,1

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

# Death
1,a,b,c,d,e,f,g,h,0
Correction: This rule-table was incorrectly posted as the precursor to the x-rule. In fact it is very similar but the actual precursor rule additionally has S2i but not S3c. See the next page for the correct rule table.

A lot of the simple patterns which don't rely on the non-isotropy of X-rule are of course common between the two rules. E.g. the orthogonal glider Gc and three tagalong's posted by danieldb (E/W as well as N/S), the diagonal glider Ga and extensions, the p2 and p6 oscillators, the reflector based oscillators and presumably many others.

Code: Select all

x = 50, y = 67, rule = x-rule-pre
2bo45b2o$2o45bo$2b2o44b2o$bo7$5bo42b2o$2o3bo38b2obo$3bo44b2o$2bo$3bo$
2o3bo$5bo3$41bo$6bo36bo4b2o$2o4bo32bo3bo3bo$3bo39bo4b2o$2bo38bo$3bo$2o
4bo$6bo3$41bo$43bo4b2o$8bo30b2o2bo3bo$2o6bo34bo4b2o$3bo37bo$2bo$3bo$2o
6bo$8bo13$49bo$47b2o4$44bo$42b2o$42bo$41bo4$37bo$35b2o$35bo$34bo$32b2o
!
There are also other oscillators: p15 and p22

Code: Select all

x = 21, y = 5, rule = x-rule-pre
18b2o$12bo$5o11bobobo$12bo$18b2o!
Two of the p22 make a gun for glider Gc:

Code: Select all

x = 14, y = 13, rule = x-rule-pre
2o$2bo$obo3b3o$2bo8bo$2o8bobo$11bo3$11bo$9bo3bo$10bobo$9bo3bo$10bobo!
There is a naturally occurring c/25 puffer (p50) which emits forward and backward streams of glider Gc (surely known by jmgomez?):

Code: Select all

x = 2, y = 5, rule = x-rule-pre
2o2$o2$2o!
and the N/S sparky ship from x-rule is a p16 c/2 domino puffer:

Code: Select all

x = 9, y = 10, rule = x-rule-pre
$7b2o$6bo$o6b2o$o3bo$o3bo$o6b2o$6bo$7b2o!
There are many possibilities for line puffers based on Gc. Here are a few:

Code: Select all

x = 4, y = 9, rule = x-rule-pre
obo$3bo$obo2$o$2bo$3bo$2bo$o!

Code: Select all

x = 6, y = 13, rule = x-rule-pre
2bobo$5bo$2bobo$o$o$2bobo$5bo$2bobo$o$o$2bobo$5bo$2bobo!

Code: Select all

x = 17, y = 13, rule = x-rule-pre
13bobo$16bo$10bo2bobo$9bobo$2o7bobo$2bo2bo4bo2bobo$obo13bo$2bo2bo4bo2b
obo$2o7bobo$9bobo$10bo2bobo$16bo$13bobo!

Code: Select all

x = 16, y = 13, rule = x-rule-pre
12bobo$15bo$9bo2bobo$8bobo$8bobo$bob2o4bo2bobo$ob2o11bo$bob2o4bo2bobo$
8bobo$8bobo$9bo2bobo$15bo$12bobo!

Code: Select all

x = 4, y = 23, rule = x-rule-pre
obo$3bo$obo2$o$2bo$3bo$2bo$o6$o$2bo$3bo$2bo$o2$obo$3bo$obo!
Last edited by wildmyron on November 5th, 2015, 10:52 am, edited 2 times in total.
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BlinkerSpawn
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Re: X-Rule

Post by BlinkerSpawn » November 3rd, 2015, 8:35 am

Ga-to-Gb 135 degree reflector and Gb-to-Ga 45/135 degree reflector:

Code: Select all

x = 61, y = 24, rule = x-rule-pre
bo$bo36bo$o37bo6$37bo2$39bo$34b2o2b2o$38b2o$6b5o23b2o2b2o$6bobobo28bo$
6bobobo$37bo3$8bo2$6bo3bo37bobo8b2o$48bobo$8bo40bo!
Ga converts p22 to p15:

Code: Select all

x = 22, y = 11, rule = x-rule-pre
19bo$20b2o5$6bobo$bo5bobo$obo2bo$bo5bobo$6bobo!
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wildmyron
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Re: X-Rule

Post by wildmyron » November 3rd, 2015, 10:37 am

p15 gun for one of the combined Ga diagonal gliders (Ga2?)

Code: Select all

x = 12, y = 12, rule = x-rule-pre
7b5o5$5b2o$5bo$o$o$o$o$o!
and a p27 gun for the same glider:

Code: Select all

x = 12, y = 12, rule = B2eic3ic4rnj5ink_S12aen3c4qiyne5re6aei8
5b2o3b2o4$7bobo$o6bobo$o7bo$4b2o$6bo$4b2o$o$o!
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.

jmgomez
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Precursor X-Rule is also Universal! :)

Post by jmgomez » November 3rd, 2015, 11:49 am

Precursor X-Rule is also Universal!

:D

Here:

Glider gun a to North-West and South-East

Code: Select all

#CXRLE Pos=0,0
x = 68, y = 15, rule = x-rule-pre
2o$2bo$obo3b3o57b2o$2bo8bo53bo$2o8bobo46b3o3bobo$11bo44bo8bo$55bobo8b
2o$56bo$11bo$9bo3bo$10bobo43bo$9bo3bo40bo3bo$10bobo42bobo$54bo3bo$55bo
bo!
Glider gun a to North-East and South-West

Code: Select all

#CXRLE Pos=0,-2
x = 68, y = 15, rule = x-rule-pre
66b2o$65bo$2o57b3o3bobo$2bo53bo8bo$obo3b3o46bobo8b2o$2bo8bo44bo$2o8bob
o$11bo$56bo$54bo3bo$11bo43bobo$9bo3bo40bo3bo$10bobo42bobo$9bo3bo$10bob
o!
In order to make this glider gun a I use the glider two wildmyron´s gun Gc (p22 make a gun for glider Gc).

-jm

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Re: X-Rule

Post by danieldb » November 3rd, 2015, 12:21 pm

X-rule-pre is even more amazing and now symmetrical:

A tagalong.

Code: Select all

x = 9, y = 8, rule = x-rule-pre
4bo$4bo$3b3o2$4bo$bo5bo$obo3bobo$obo3bobo!
moved to drc

jmgomez
Posts: 43
Joined: October 6th, 2015, 1:42 am

Variants of Precursor X-Rule´s glider gun ¨a¨

Post by jmgomez » November 3rd, 2015, 12:23 pm

Of course is possible defined glider gun ¨a¨ to go to specific direction:

Glider gun ¨a¨ North-East

Code: Select all

#CXRLE Pos=0,-2
x = 68, y = 15, rule = x-rule-pre
66b2o$65bo$2o57b3o3bobo$2bo53bo8bo$obo3b3o46bobo8b2o$2bo8bo44bo$2o8bob
o$11bo$56bo$54bo3bo$11bo43bobo$9bo3bo40bo3bo$10bobo42bobo$9bo3bo9b2o$
10bobo11bo!
Glider gun ¨a¨ South-East

Code: Select all

#CXRLE Pos=0,-6
x = 68, y = 21, rule = x-rule-pre
26bo$25b2o5$2o$2bo$obo3b3o57b2o$2bo8bo53bo$2o8bobo46b3o3bobo$11bo44bo
8bo$55bobo8b2o$56bo$11bo$9bo3bo$10bobo43bo$9bo3bo40bo3bo$10bobo42bobo$
54bo3bo$55bobo!

Glider gun ¨a¨ North-West

Code: Select all

#CXRLE Pos=0,0
x = 68, y = 15, rule = x-rule-pre
2o$2bo$obo3b3o57b2o$2bo8bo53bo$2o8bobo46b3o3bobo$11bo44bo8bo$55bobo8b
2o$56bo$11bo$9bo3bo$10bobo43bo$9bo3bo40bo3bo$10bobo29b2o11bobo$42bo11b
o3bo$55bobo!

Glider gun ¨a¨ South-West

Code: Select all

#CXRLE Pos=0,-9
x = 68, y = 22, rule = x-rule-pre
41bo$41b2o6$66b2o$65bo$2o57b3o3bobo$2bo53bo8bo$obo3b3o46bobo8b2o$2bo8b
o44bo$2o8bobo$11bo$56bo$54bo3bo$11bo43bobo$9bo3bo40bo3bo$10bobo42bobo$
9bo3bo$10bobo!

-jm

jmgomez
Posts: 43
Joined: October 6th, 2015, 1:42 am

Logical Gates in Precursor X-Rule (Gate NOT)

Post by jmgomez » November 3rd, 2015, 2:10 pm

Logical Gate NOT in Precursor X-Rule

Code: Select all

#CXRLE Pos=-2,-97 Gen=288
x = 133, y = 110, rule = x-rule-pre
131bo$131b2o16$42bo$40b2o15$58bo$58bo$57bo4$64bo$62b2o23$68bo$69bo$69b
o4$62b2o$64bo4$57bo$58bo$58bo4$51b2o$53bo4$46bo$47bo$47bo4$40b2o$42bo
2$41bo26bo$51bo15bo2bo$3bo34b2o9b3o9bobo6bo$bo2bo15bo19bo11b2o4bo9bob
2o$bo6bobo9b3o9b2o4b2o9b3o6bo2bobo6bo$2obo9bo4b2o11bo19bo4b2ob2o6bo2bo
$bo6bobo2bo6b3o9b2o24bo9bo$bo2bo6b2ob2o4bo37bo$3bo9bo16bo$13bo$29bo25b
2o3b2o$30b2o23b2o3b2o$10b2o3b2o40bobo$10b2o3b2o39bo3bo$12bobo10b2o$11b
o3bo10bo!
-jm

thunk
Posts: 165
Joined: October 3rd, 2015, 8:50 pm
Location: Central USA

Re: X-Rule

Post by thunk » November 3rd, 2015, 2:27 pm

P15 is synthesized by a Gb colliding with domino:

Code: Select all

x = 3, y = 9, rule = x-rule-pre
bo$bo4$bo$obo2$obo!
"What's purple and commutes?
The Evanston Express."

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

Re: X-Rule

Post by M. I. Wright » November 3rd, 2015, 2:42 pm

Smaller p22 Ga gun:

Code: Select all

x = 19, y = 12, rule = x-rule-pre
16b2o$10bo$14bobobo$6bo3bo$2o4bo9b2o$6bo4$5b3o$4bo3bo$4bobobo!
Can obviously be flipped and rotated to fire in different directions.
gamer54657 wrote:God save us all.
God save humanity.

hgkhjfgh
nutshelltlifeDiscord 'Conwaylife Lounge'

jmgomez
Posts: 43
Joined: October 6th, 2015, 1:42 am

Logical Gates in Precursor X-Rule (Gate OR)

Post by jmgomez » November 3rd, 2015, 3:07 pm

Logical Gate OR in Precursor X-Rule

Example: OR(10001,10101)-> 10101

Code: Select all

#CXRLE Pos=-1,-251 Gen=1057
x = 274, y = 265, rule = x-rule-pre
27bo$26b2o$29b2o2$29bo$28b3o$bobo25bo$obo5bo9bobo10bo$4bo2bobo11bo5bo
4bo7bo25bobo$obo5bo2bobo4bobo10bo6bo10bobo9bo5bobo$bobo25bo7bo4bo5bo
11bobo2bo$11bobo24bo10bobo4bobo2bo5bobo$40bo25bobo$39b3o14bobo$40bo$
10bo3bo$9bo2bo2bo23b2o$55bo3bo$10b5o39bo2bo2bo$12bo$46bo8b5o$44bobo10b
o4$51bo2$50b2o4$57bo$55bobo4$62bo2$61b2o4$68bo$66bobo55$46bo$44bobo10$
57bo$55bobo10$68bo$66bobo53$121b2o$121bo$46bo$44bobo21$68bo$66bobo19$
66bobo$68bo4$61b2o2$62bo4$55bobo$57bo4$50b2o2$51bo4$44bobo$46bo4$39b2o
2$40bo$39b3o230b2o$40bo25bobo203bo$38bo10bobo9bo5bobo$bobo25bo7bo4bo5b
o11bobo2bo$obo5bo9bobo10bo6bo10bobo4bobo2bo5bobo$4bo2bobo11bo5bo4bo7bo
25bobo$obo5bo2bobo4bobo10bo24bobo$bobo25bo$11bobo14b3o$29bo$55bo3bo$
29b2o23bo2bo2bo$10bo3bo$9bo2bo2bo39b5o$24b2o31bo$10b5o10bo$12bo!
-jm

jmgomez
Posts: 43
Joined: October 6th, 2015, 1:42 am

Logical Gates in Precursor X-Rule (Gate AND)

Post by jmgomez » November 3rd, 2015, 3:34 pm

Logical Gates AND in Precursor X-Rule

Code: Select all

#CXRLE Pos=-1,-153 Gen=1057
x = 203, y = 167, rule = x-rule-pre
46bo$44bobo10$57bo$55bobo10$68bo$66bobo35$129bo$129b2o19$46bo$44bobo
21$68bo$66bobo19$66bobo$68bo4$61b2o2$62bo4$55bobo$57bo4$50b2o2$51bo4$
44bobo$46bo4$39b2o2$40bo$39b3o$40bo25bobo$38bo10bobo9bo5bobo$bobo25bo
7bo4bo5bo11bobo2bo$obo5bo9bobo10bo6bo10bobo4bobo2bo5bobo$4bo2bobo11bo
5bo4bo7bo25bobo$obo5bo2bobo4bobo10bo24bobo142b2o$bobo25bo171bo$11bobo
14b3o$29bo$55bo3bo$29b2o23bo2bo2bo$10bo3bo$9bo2bo2bo39b5o$24b2o31bo$
10b5o10bo$12bo!

In this way, if we have AND, NOT and OR in Precursor X-Rule, then Precursor X-Rule is Universal in the Logic sense!

-jm

jmgomez
Posts: 43
Joined: October 6th, 2015, 1:42 am

Re: X-Rule

Post by jmgomez » November 3rd, 2015, 4:03 pm

M. I. Wright: Nice smaller Gga in Precursor X-Rule !

With this we can rebuild Logical Gates

:D

-jm

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