FreeElectronics, a 4-state rule

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Rhombic
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FreeElectronics, a 4-state rule

Post by Rhombic » August 6th, 2017, 2:02 pm

This rule is almost certainly Turing complete. You can build blocks, delete them, use the blocks to multiply signals or to block them. Signals are 1D-extensible
The rule:

Code: Select all

@RULE FreeElectronics

@TABLE

n_states:4
neighborhood:Moore
symmetries:rotate4reflect

var a={0,1,2,3}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i={0,1}
var j=i
var k={0,3}
var l=k
#State 1: head, State 2: tail, State 3:x

0,1,0,0,0,0,0,0,0,1
0,0,1,1,0,0,0,0,0,1
1,2,0,0,0,0,0,0,0,2
1,0,1,0,2,0,0,0,0,2
0,0,1,0,3,0,0,0,0,1
0,0,0,3,1,1,0,0,0,1
3,0,0,0,0,1,1,0,0,1
0,0,0,0,3,1,1,0,0,1
1,1,0,0,0,1,2,2,2,2
0,0,0,0,0,0,1,1,1,1
0,0,0,3,0,0,1,1,1,3
0,0,0,1,0,0,1,1,1,3
0,0,3,0,0,1,0,0,0,1
3,0,0,0,0,0,1,0,1,0
0,3,0,1,0,0,0,0,0,1
0,1,0,0,0,1,0,0,0,3
0,0,3,0,i,1,j,0,3,1
0,3,0,0,1,0,1,0,3,1
0,0,2,1,0,1,0,0,0,1
3,3,k,l,0,0,1,1,0,0
2,2,0,2,0,0,0,2,0,3
0,0,0,2,2,0,2,2,0,3
2,2,2,2,0,0,0,0,0,3
3,0,0,3,0,2,0,3,0,0
0,3,3,0,1,0,1,0,3,1
3,0,0,1,2,0,2,3,0,0
1,2,1,2,0,0,0,0,0,1
0,0,0,3,0,1,0,3,0,1
0,0,0,0,3,1,3,0,0,1

1,a,b,c,d,e,f,g,h,2
2,a,b,c,d,e,f,g,h,0

@ICONS
XPM
/* width height num_colors chars_per_pixel */
"7 21 3 1"
/* colors */
"A c #FFFFFF"
". c #000000"
"B c #AA5544"
/* icon for state 1 */
"AAAAAAA"
"AAAAAAA"
"AAAAAAA"
"AAAAAAA"
"AAAAAAA"
"AAAAAAA"
"AAAAAAA"
/* icon for state 2 */
"......."
"..AAA.."
".A.A.A."
".AAAAA."
".A.A.A."
"..AAA.."
"......."
/* icon for state 3 */
"BBBBBBB"
"B.....B"
"B.BBB.B"
"B.BBB.B"
"B.BBB.B"
"B.....B"
"BBBBBBB"
Showcase:

Code: Select all

x = 269, y = 20, rule = FreeElectronics
266.C$27.C$26.C$265.C4$25.C221.2B5.B$24.C211.2B3.B5.2A5.A$23.C212.2A
3.A3$117.B57.C22.C21.2C$106.B10.A13.C22.2C18.2C22.2C20.2C46.C$38.C67.
A$22.C5.C9.C10.2C9.C8.C10.C9.2C$268.C2$A5.2A5.3A4.A6.A10.A11.A8.3A6.A
.A9.2A8.2A13.3A8.3A12.A22.A.A17.A.A21.A.A19.A.A13.2A3.A5.2A5.A11.A$B
5.2B5.3B4.B6.B10.B11.B8.3B6.B.B9.2B8.2B13.3B8.3B12.B22.B.B17.B.B21.B.
B19.B.B13.2B3.B5.2B5.B11.B!
Suboptimal AND gate:

Code: Select all

x = 25, y = 79, rule = FreeElectronics
12.C2$24.C$.BA2$9.C2.C11.C4$C8$8.C2.2C11.C2$.BA$24.C2$8.C8$12.C2$24.C
$.BA2$9.C2.C11.C4$C8$8.C2.2C11.C3$24.C2$8.C4$12.C2$24.C3$9.C2.C11.C4$
C8$8.C2.2C11.C2$.BA$24.C2$8.C!
OR gate:

Code: Select all

x = 21, y = 10, rule = FreeElectronics
14.C2.C2$12.C$5.BA$14.C$8.C2.C5.C$BA$8.C2.C8.C$12.C7.C$13.C!
Last edited by Rhombic on August 8th, 2017, 5:35 am, edited 2 times in total.
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

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Rhombic
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Re: FreeElectronics, a 4-state rule

Post by Rhombic » August 7th, 2017, 4:59 am

Some signal splitters:

Code: Select all

x = 91, y = 15, rule = FreeElectronics
33.BA$33.BA$33.BA$33.BA$33.BA$7.C9.BA14.BA26.BA$BA15.BA14.BA26.BA$BA
5.C9.BA5.C8.BA5.C20.BA$8.C16.C.C13.C.C22.C5.C5.C2.C2.C2.C2.C$26.C15.C
20.C5.C5.C$43.C$44.C$45.C$46.C$47.C!
Synthesis of a 4-bit thing, reflecting 1-photons as 2-photons, 4-photons as 1-photons and eating all the other ones up to 6-photons, beyond which it just eats a portion of the spaceship with no further reflection.

Code: Select all

x = 62, y = 48, rule = FreeElectronics
56.6B$56.6A7$56.5B$56.5A7$56.4B$56.4A2$15.B$15.A4$56.3B$15.3B38.3A$
15.3A4$18.2B$18.2A$56.2B$56.2A$16.B$16.A2$BA2$BA$56.B$16.A39.A$16.B2$
55.C$18.2A$18.2B36.C$58.2C!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

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toroidalet
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Re: FreeElectronics, a 4-state rule

Post by toroidalet » August 7th, 2017, 10:10 pm

Produce a photon of any length:

Code: Select all

x = 17, y = 25, rule = FreeElectronics
7.C$BA5.C2$8.C2$9.C2$10.C2$11.C2$12.C2$13.C2$14.C2$15.C2$16.C$4.C2$3.
C2$2.C!
p4 gun:

Code: Select all

x = 7, y = 7, rule = FreeElectronics
2.C$2.C$5.2C$4.B$2C.A.A$4.C$4.C!
p4 gun for any photon:

Code: Select all

x = 34, y = 24, rule = FreeElectronics
28.C2$21.C$20.C6.C$19.C7.C$18.C11.2C$17.C5.C5.B3.C$16.C8.2C.A.A$15.C
13.C$14.C9.C4.C$13.C$12.C15.C$11.C$10.C$9.C$8.C$7.C$6.C$5.C$4.C$3.C$
2.C$.C$C!
A start for a reader:

Code: Select all

x = 32, y = 7, rule = FreeElectronics
C14.C5.C6.C$C3$18.C5.C6.C$5.BA9.C5.C6.C$2C16.C5.C6.C!
It would be nice if there was a transition allowing signals to place blocks in a way that bypasses the bounding box limit and the bounding diamond limit (Universal construction)
"But if you close your eyes—does it almost feel like nothing's changed at all?
And if you close your eyes—does it almost feel like you've been here before..."

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Rhombic
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Re: FreeElectronics, a 4-state rule

Post by Rhombic » August 8th, 2017, 4:34 am

toroidalet wrote: It would be nice if there was a transition allowing signals to place blocks in a way that bypasses the bounding box limit and the bounding diamond limit (Universal construction)
Can you think of an example reaction? Preferably allowing all the previous ones in the showcase.

EDIT: Minor update to the rule, updated in the first post.
These reactions are now allowed:

Code: Select all

x = 40, y = 11, rule = FreeElectronics
40C9$17.A.A17.A.A$17.B.B17.B.B!
Reason: until now, 1xn polyominos for n>3 were indestructible; this can allow "for" loops and that sort of thing, and using the 1xn building reactions and these new ones can allow new stuff

----------------------------
Glider-constructible filter:
For length=2 signals, emits the original signal together with an auxiliary length=1 signal, but, for more than one input signal, it has different behaviours. With d = distance between the photons:
d=2 and 3: emits 2 photons and one auxiliary signal
d=4 to 12: emits one photon (of the original two) and one auxiliary signal
d=13 to 26: emits one photon (of the original two) and two auxiliary signals
d=27 to 31: emits one photon (of the original two) and one auxiliary signal, but further forward than with d=4 to 12
d>=32: signals are independent, i.e. every original photon gets transmitted and for each original photon, an auxiliary signal is sent

Filter:

Code: Select all

x = 50, y = 122, rule = FreeElectronics
37.2C6.C2$47.3C$42.2C2$35.C$36.C$34.BA8.C$34.BA8.C3$48.C$42.2C4.C4$
36.C5$37.2C6.C2$47.3C$42.2C2$35.C$36.C$30.BA2.BA8.C$30.BA2.BA8.C3$48.
C$42.2C4.C4$36.C5$37.2C6.C2$47.3C$42.2C2$35.C$36.C$28.BA4.BA8.C$28.BA
4.BA8.C3$48.C$42.2C4.C4$36.C5$37.2C6.C2$47.3C$42.2C2$35.C$36.C$19.BA
13.BA8.C$19.BA13.BA8.C3$48.C$42.2C4.C4$36.C5$37.2C6.C2$47.3C$42.2C2$
35.C$36.C$5.BA27.BA8.C$5.BA27.BA8.C3$48.C$42.2C4.C4$36.C5$37.2C6.C2$
47.3C$42.2C2$35.C$36.C$BA32.BA8.C$BA32.BA8.C3$48.C$42.2C4.C4$36.C!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

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Rhombic
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Re: FreeElectronics, a 4-state rule

Post by Rhombic » March 8th, 2018, 8:35 pm

I just wanted to bump this rule again in case...
1) someone wants to implement the universal-construction reaction without destroying all the other dynamics of the rule
2) someone wants to attempt a Toffoli gate potentially starting with this OR gate:

Code: Select all

x = 21, y = 10, rule = FreeElectronics
14.C2.C2$12.C$5.BA$14.C$8.C2.C5.C$BA$8.C2.C8.C$12.C7.C$13.C!

----

Unrelated stuff
p108 gun:

Code: Select all

x = 34, y = 53, rule = FreeElectronics
23.2C$13.2C$33.C$29.C5$7.C2$2.C6.C$25.2C4$6.C$8.2A$8.2B$27.C$3.C6.2C
4$21.C$.A5.C$C.B22.C$C.B21.C$.A20.C2$14.A$14.B2$7.C2$C2.C6$C2$10.C$9.
C$2.C$2.C6$15.C$7.2C6.C!
Extensible gun:

Code: Select all

x = 24, y = 27, rule = FreeElectronics
11.C4.C$16.C2$8.2C$12.2C2$23.C$6.2C15.C$10.2C3$4.2C16.C$8.2C12.C3$2.
2C17.C$6.2C13.C2$C$14.C2$2.2A$2.2B16.C$4.2C14.C$2C$3.C$3.C!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

AforAmpere
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Re: FreeElectronics, a 4-state rule

Post by AforAmpere » March 8th, 2018, 8:49 pm

I can't seem to figure out how to produce a block pushing move. Has anyone?
Wildmyron and I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule

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Rhombic
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Re: FreeElectronics, a 4-state rule

Post by Rhombic » March 9th, 2018, 6:18 am

AforAmpere wrote:I can't seem to figure out how to produce a block pushing move. Has anyone?
There already is a block-pushing move (it's in the first post in the RLE with the set of reactions).
EDIT: I'm clearly wrong. Sorry.
Last edited by Rhombic on March 9th, 2018, 7:49 am, edited 1 time in total.
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

AforAmpere
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Joined: July 1st, 2016, 3:58 pm

Re: FreeElectronics, a 4-state rule

Post by AforAmpere » March 9th, 2018, 7:44 am

There is no pushing reaction, only creating blocks.
Wildmyron and I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule

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Rhombic
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Re: FreeElectronicsX, a 5-state rule

Post by Rhombic » September 27th, 2020, 11:43 am

AforAmpere wrote:
March 8th, 2018, 8:49 pm
I can't seem to figure out how to produce a block pushing move. Has anyone?
For single blocks, with one more state A (the "push ether"), upon "pushing" you can get a block surrounded by 5 cells in state A (5i neighbourhood). Then, 5i block dies and the cell with the following neighbourhood becomes a block:
(A) A 0 0 --> (0) 0 0 0
(A) X 0 0 --> (0) 0 X 0
(A) A 0 0 --> (0) 0 0 0

I think this works. EDIT: Here it is:

Code: Select all

@RULE FreeElectronicsX

@TABLE

n_states:5
neighborhood:Moore
symmetries:rotate4reflect

var a={0,1,2,3,4}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i={0,1}
var j=i
var k={0,3}
var l=k
var m={3,4}
#State 1: head, State 2: tail, State 3:x, State 4:push_ether

0,1,0,0,0,0,0,0,0,1
0,0,1,1,0,0,0,0,0,1
1,2,0,0,0,0,0,0,0,2
1,0,1,0,2,0,0,0,0,2
0,0,1,0,3,0,0,0,0,1
0,0,0,3,1,1,0,0,0,1
3,0,0,0,0,1,1,0,0,1
0,0,0,0,3,1,1,0,0,1
1,1,0,0,0,1,2,2,2,2
0,0,0,0,0,0,1,1,1,1
0,0,0,3,0,0,1,1,1,3
0,0,0,1,0,0,1,1,1,3
0,0,3,0,0,1,0,0,0,1
3,0,0,0,0,0,1,0,1,0
0,3,0,1,0,0,0,0,0,1
0,1,0,0,0,1,0,0,0,3
0,0,3,0,i,1,j,0,3,1
0,3,0,0,1,0,1,0,3,1
0,0,2,1,0,1,0,0,0,1
3,3,k,l,0,0,1,1,0,0
2,2,0,2,0,0,0,2,0,3
0,0,0,2,2,0,2,2,0,3
2,2,2,2,0,0,0,0,0,3
3,0,0,3,0,2,0,3,0,0
0,3,3,0,1,0,1,0,3,1
3,0,0,1,2,0,2,3,0,0
1,2,1,2,0,0,0,0,0,1
0,0,0,3,0,1,0,3,0,1
0,0,0,0,3,1,3,0,0,1

0,3,0,1,2,0,1,0,k,4
0,0,0,3,4,1,0,0,0,4
1,0,0,0,0,2,4,3,0,4
2,1,0,0,0,0,0,4,3,4
1,0,3,4,0,2,0,0,0,4
4,3,1,2,0,0,2,i,k,4
3,0,0,4,4,4,4,4,0,0
0,a,b,c,m,3,4,d,e,3

1,a,b,c,d,e,f,g,h,2
2,a,b,c,d,e,f,g,h,0
4,a,b,c,d,e,f,g,h,0

@ICONS
XPM
/* width height num_colors chars_per_pixel */
"7 28 4 1"
/* colors */
"A c #FFFFFF"
". c #000000"
"B c #AA5544"
"E c #DD8888"
/* icon for state 1 */
"AAAAAAA"
"AAAAAAA"
"AAAAAAA"
"AAAAAAA"
"AAAAAAA"
"AAAAAAA"
"AAAAAAA"
/* icon for state 2 */
"......."
"..AAA.."
".A.A.A."
".AAAAA."
".A.A.A."
"..AAA.."
"......."
/* icon for state 3 */
"BBBBBBB"
"B.....B"
"B.BBB.B"
"B.BBB.B"
"B.BBB.B"
"B.....B"
"BBBBBBB"
/* icon for state 4 */
"......."
"...E..."
"..EEE.."
".EEEEE."
"..EEE.."
"...E..."
"......."

Code: Select all

x = 12, y = 6, rule = FreeElectronicsX
.C7.2C3$2.A8.A$A.B6.A.B$B8.B!
Rhombic
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Yoel
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Re: FreeElectronics, a 4-state rule

Post by Yoel » September 28th, 2020, 7:31 pm

Guns are very conveniently available for all periods >=4. They may also be stretched to store any amounts of information by custom photon patterns:

Code: Select all

x = 24, y = 57, rule = FreeElectronics
2$9.C2.C$12.C$7.2C.AB.BA2.BA2.BA3$7.C2.BA.2C$9.C$9.C2.C6$7.C2.C$10.C$
5.2C7.BA3.BA$10.A$7.B2.B$7.A$5.C5.2C$7.C$7.C2.C5$7.C2.C$10.C$5.2C6.BA
4.BA$7.B$7.A$10.A$10.B$5.C5.2C$7.C$7.C2.C6$6.C3.C$10.C$4.2C.B5.BA5.BA
$6.A3$10.A$4.C4.B.2C$6.C$6.C3.C!

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FWKnightship
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Re: FreeElectronics, a 4-state rule

Post by FWKnightship » October 3rd, 2020, 5:21 am

Code: Select all

x = 629, y = 71, rule = FreeElectronics:T630,0
11.C16.2C23.C16.2C23.C16.2C23.C16.2C23.C16.2C23.C16.2C23.C16.2C23.C
16.2C23.C16.2C23.C16.2C23.C16.2C23.C16.2C23.C16.2C23.C16.2C23.C16.2C$
11.C41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C7.AB17$
14.C41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C$9.C41.C
41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C$9.C8.C5.C26.C8.C
5.C26.C8.C5.C26.C8.C5.C26.C8.C5.C26.C8.C5.C26.C8.C5.C26.C8.C5.C26.C8.
C5.C26.C8.C5.C26.C8.C5.C26.C8.C5.C26.C8.C5.C26.C8.C5.C26.C8.C5.C$12.
2C11.C28.2C11.C28.2C11.C28.2C11.C28.2C11.C28.2C11.C28.2C11.C28.2C11.C
28.2C11.C28.2C11.C28.2C11.C28.2C11.C28.2C11.C28.2C11.C28.2C11.C$25.C
6.2C33.C6.2C33.C6.2C33.C6.2C33.C6.2C33.C6.2C33.C6.2C33.C6.2C33.C6.2C
33.C6.2C33.C6.2C33.C6.2C33.C6.2C33.C6.2C33.C6.2C$25.C41.C41.C41.C41.C
41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C$14.C10.C30.C10.C30.C10.C30.C
10.C30.C10.C30.C10.C30.C10.C30.C10.C30.C10.C30.C10.C30.C10.C30.C10.C
30.C10.C30.C10.C30.C10.C4$.C.C11.C27.C.C11.C27.C.C11.C27.C.C11.C27.C.
C11.C27.C.C11.C27.C.C11.C27.C.C11.C27.C.C11.C27.C.C11.C27.C.C11.C27.C
.C11.C27.C.C11.C27.C.C11.C27.C.C11.C$3.C11.C29.C11.C29.C11.C29.C11.C
29.C11.C29.C11.C29.C11.C29.C11.C29.C11.C29.C11.C29.C11.C29.C11.C29.C
11.C29.C11.C29.C11.C$10.C41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C41.C
41.C41.C41.C$11.2C40.2C40.2C40.2C40.2C40.2C40.2C40.2C40.2C40.2C40.2C
40.2C40.2C40.2C40.2C$11.2C5.C34.2C5.C34.2C5.C34.2C5.C34.2C5.C34.2C5.C
34.2C5.C34.2C5.C34.2C5.C34.2C5.C34.2C5.C34.2C5.C34.2C5.C34.2C5.C34.2C
5.C$3.2C11.C28.2C11.C28.2C11.C28.2C11.C28.2C11.C28.2C11.C28.2C11.C28.
2C11.C28.2C11.C28.2C11.C28.2C11.C28.2C11.C28.2C11.C28.2C11.C28.2C11.C
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It seems that I can upload my apgsearch results now!
search.php?keywords=FWKnightship

wwei23

Re: FreeElectronics, a 4-state rule

Post by wwei23 » October 4th, 2020, 1:17 am

Is that a Rule 110 unit cell?

User avatar
Freywa
Posts: 718
Joined: June 23rd, 2011, 3:20 am
Location: Singapore
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Re: FreeElectronics, a 4-state rule

Post by Freywa » October 4th, 2020, 12:45 pm

wwei23 wrote:
October 4th, 2020, 1:17 am
Is that a Rule 110 unit cell?
Obviously.
Princess of Science, Parcly Taxel

wwei23

Re: FreeElectronics, a 4-state rule

Post by wwei23 » October 4th, 2020, 1:19 pm

Freywa wrote:
October 4th, 2020, 12:45 pm
wwei23 wrote:
October 4th, 2020, 1:17 am
Is that a Rule 110 unit cell?
Obviously.
Just making sure. :P

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NoAyeBeardo
Posts: 255
Joined: June 16th, 2020, 12:38 pm
Location: A house, or a flat, or a [click to expand]

Re: FreeElectronics, a 4-state rule

Post by NoAyeBeardo » October 16th, 2020, 6:18 am

Is there any easy way to synthesise diagonals?
Here was my attempt:

Code: Select all

x = 118, y = 242, rule = FreeElectronicsX
18.B$18.A20$17.B$17.A20$16.B$16.A20$15.B$15.A20$14.B$14.A9$115.AB$13.
B81.AB$11.B.A60.AB40.AB$11.A44.AB38.AB$38.AB35.AB$20.AB35.AB$39.AB$21.
AB3$13.A$11.A.B$11.B7$14.A$14.B18$15.A$15.B18$16.A$16.B18$17.A$17.B18$
18.A$18.B6$7.2B$7.2A8$49.B$49.A2$29.BA5.AB$29.BA5.AB$24.AB2$49.A$49.B
10$7.2A$7.2B25.2B$B33.2A$A3$5.BA5.AB$5.BA5.AB$34.2A$A33.2B$B8$30.BA5.
AB!

(also with a splitter gun synth for fun)
Not inactive any more! :D

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