## Search found 686 matches

- September 13th, 2019, 9:06 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

Rule PCA_8 /* Put your state count, neighbor count, and function here */ final static int numStates = 16; final static int numNeighbors = 4; private int rule[] = {0,2,4,12,8,10,9,14,1,6,5,7,3,11,13,15}; /* order for nine neighbors is nw, ne, sw, se, n, w, e, s, c */ /* order for five neighbors is n,...

- September 13th, 2019, 3:28 pm
- Forum: Other Cellular Automata
- Topic: Smallest Spaceships Supporting Specific Speeds (5s) Project
- Replies:
**923** - Views:
**205167**

### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Which rule has the highest number of ships with different speeds in the collection?

Brian Prentice

Brian Prentice

- September 12th, 2019, 8:06 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

A better reflector demonstration: x = 141, y = 146, rule = PCA_7:T150,150 115.A$75.D2$81.H3$119.H8$20.A57.B$35.B$30.A2$22.A39.H50.A$112.A2$112. C$129.H6$70.H2$70.D$61.A$64.B$75.D$97.B2$92.B2$74.A$47.B62.H26.B$138. H$137.C3$22.A$75.B2$120.B$121.B3$81.A2$116.A$123.A$108.A$78.D2$82.D 12.A$13.A126.A$76....

- September 12th, 2019, 2:39 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

An archive for rule PCA_7 patterns is here: http://bprentice.webenet.net/PCA/PCA_7%20Ships.zip This archive currently contains ships with 62 different speeds. They are tabulated below: Diagonal Ships 2c/3908 DS001.rle c/1270 DS002.rle 3c/682 DS002.rle c/190 DS004.rle 2c/194 DS005.rle 2c/2208 DS006.r...

- September 11th, 2019, 9:22 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

A new PCA rule: /* Put your state count, neighbor count, and function here */ final static int numStates = 16; final static int numNeighbors = 4; private int rule[] = {0,2,4,12,8,5,9,14,1,6,10,7,3,11,13,15}; /* order for nine neighbors is nw, ne, sw, se, n, w, e, s, c */ /* order for five neighbors ...

- September 11th, 2019, 4:14 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

Another PCA_6 oscillator set: x = 14, y = 53, rule = PCA_6 .A$A.B$.A3.D$4.DHD$3.D.D.D12$.A$A.B$.A3.D.D$4.DHDHD$3.D.D.D.D12$.A$ A.B$.A3.D.D.D$4.DHDHDHD$3.D.D.D.D.D12$.A$A.B$.A3.D.D.D.D$4.DHDHDHDH D$3.D.D.D.D.D.D! These have periods of 120, 172, 224 and 276. A larger one with a period of 900: x = 38, ...

- September 11th, 2019, 3:09 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

Using the technique shown in the post above, five more PCA_4 ships have been found. This brings the total to 41 PCA_4 ships with different speeds. Two diagonal ships with speeds of c/1214 and c/2126: x = 5, y = 4, rule = PCA_4 3.I$2.D.J2$A! x = 4, y = 5, rule = PCA_4 3.H3$C.D$3.E! and three orthogon...

- September 11th, 2019, 11:26 am
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

Try patterns like this:

Brian Prentice

Code: Select all

```
x = 23, y = 22, rule = PCA_4:T150,150
12.A5.G$2.I2.M$8.E2.A$16.N$10.G6.MF$11.M2.K$D15.EF4.O$10.E$2.G5.D2.
K.F7.E$5.I7.D$I.M11.F7.A$ME.J9.A$.B$.D5.M5.I4.F$6.E$7.J3.N$21.J$A$17.
G3.I$5.O7.I$15.F$.I17.B!
```

- September 10th, 2019, 10:14 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

Some more PCA_6 oscillator sets: x = 69, y = 10, rule = PCA_6 68.J2$46.J19.J2$24.J19.J19.J2$2.J19.J19.J19.J2$B.B17.B.B17.B.B17.B. B$.D19.D19.D19.D! x = 66, y = 6, rule = PCA_6 65.J$44.J19.J$23.J19.J19.J$2.J19.J19.J19.J$.A19.A19.A19.A$J19.J19.J 19.J! Each of these sets has periods 40, 56, 72, 88 ... ...

- September 10th, 2019, 9:07 am
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

Consider these four PCA_6 oscillators: x = 11, y = 74, rule = PCA_6 .B.B$D.D.D23$.B.B.B$D.D.D.D23$.B.B.B.B$D.D.D.D.D23$.B.B.B.B.B$D.D.D .D.D.D! They have periods of 408, 16300, 534012 and 5147120. Now consider this pattern: x = 61, y = 2, rule = PCA_6 .B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B...

- September 9th, 2019, 11:07 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

Another PCA rule: /* Put your state count, neighbor count, and function here */ final static int numStates = 16; final static int numNeighbors = 4; private int rule[] = {0,2,4,3,8,10,6,14,1,9,5,7,12,11,13,15}; /* order for nine neighbors is nw, ne, sw, se, n, w, e, s, c */ /* order for five neighbor...

- September 8th, 2019, 11:31 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

Continuing the exploration of rule PCA_3, some symmetrical patterns generate ships constructed of dominoes: x = 31, y = 32, rule = PCA_3 15.A$14.B2A$13.A2B2A$12.B2A2B2A$11.A2B2A2B2A$10.B2A2B2A2B2A$9.A2B2A 2B2A2B2A$8.B2A2B2A2B2A2B2A$7.A2B2A2B2A2B2A2B2A$6.B2A2B2A2B2A2B2A2B2A $5.A2B2A2B2A2B2A2B2A2B2A$4...

- September 7th, 2019, 9:36 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

Four more PCA_3 patterns. Two new diagonal ships with periods 3c/642 and c/2188: x = 5, y = 3, rule = PCA_3 3.H$D3.D$.B.E! x = 5, y = 4, rule = PCA_3 3.A$H$.H.D$2.A.D! The archive at: http://bprentice.webenet.net/PCA/PCA_3%20Ships.zip now contains ships with these speeds: c/11 S008.sqc c/12 DS001.sq...

- September 6th, 2019, 7:11 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

Another Golly rule tree: /* Put your state count, neighbor count, and function here */ final static int numStates = 16; final static int numNeighbors = 4; private int rule[] = {0,4,8,3,1,10,6,11,2,9,5,13,12,14,7,15}; /* order for nine neighbors is nw, ne, sw, se, n, w, e, s, c */ /* order for five n...

- September 5th, 2019, 10:56 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

Two PCA_2 oscillators with periods 501 and 2004: x = 77, y = 32, rule = PCA_2 15.AB43.AB$15.HD43.HD2$13.I$14.I9$28.C44.C$27.C44.C$AB28.AB13.AB28. AB$HD28.HD13.HD28.HD$4.L$3.L9$17.F$18.F2$15.AB43.AB$15.HD43.HD! Two more with periods 489 and 1956. x = 73, y = 30, rule = PCA_2 14.AB41.AB$14.HD41.HD2$12...

- September 5th, 2019, 1:46 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

The Square Cell version of PCA is here: http://bprentice.webenet.net/PCA/PCA.zip A dialog can be used to display and change the rule table allowing exploration of other rule variants. Patterns are rotated correctly which makes pattern editing easier. The paper here: http://bprentice.webenet.net/PCA/...

- September 3rd, 2019, 11:47 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

AforAmpere

I will add your new ships to the list and archive tomorrow.

Hdjensofjfnen

Your ship is included, it has a period of 7c/13549.

Brian Prentice

I will add your new ships to the list and archive tomorrow.

Hdjensofjfnen

Your ship is included, it has a period of 7c/13549.

Brian Prentice

- September 3rd, 2019, 10:47 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

Three new ships have been found. This c/394 diagonal ship: x = 5, y = 4, rule = PCA_4 A3.H2$H.A$.B.D! this 4c/1318 orthogonal ship: x = 4, y = 5, rule = PCA_4 3.D$D$.F.D2$.B! and the c/50 record breaking diagonal ship posted by Gustone above. Small ships with 32 different speeds have now been found ...

- September 3rd, 2019, 3:07 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

Oscillators with periods (n + 1) * 4:

Brian Prentice

Code: Select all

```
x = 65, y = 65, rule = PCA_4
J14$64.E2$J.J61.E2$64.E2$64.E2$64.E2$64.E2$64.E2$64.E2$64.E2$J.J.J59.
E2$64.E2$64.E2$64.E2$64.E2$64.E2$64.E2$64.E2$J.J.J.J57.E2$64.E2$64.
E12$J.J.J.J.J!
```

- September 2nd, 2019, 11:15 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

A new 4c/2006 diagonal ship:

The list of ships in this thread's introduction and the associated archive have been updated.

Brian Prentice

Code: Select all

```
x = 5, y = 5, rule = PCA_4
2.A.H2$H$.D.D$2.H!
```

Brian Prentice

- September 2nd, 2019, 3:12 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

A period 16226 oscillator:

which leads to this c/15613 orthogonal ship:

Brian Prentice

Code: Select all

```
x = 31, y = 4, rule = PCA_4
A$.D23.H$24.I5.B$25.H3.H!
```

Code: Select all

```
x = 4, y = 5, rule = PCA_4:T70,70
.D2$.A.E$A$3.B!
```

- September 2nd, 2019, 12:20 am
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

A new 3c/1324 diagonal ship:

The list of ships in this thread's introduction and the associated archive have been updated.

Brian Prentice

Code: Select all

```
x = 4, y = 5, rule = PCA_4
2.B$.H$A$3.D$D.H!
```

Brian Prentice

- September 1st, 2019, 10:49 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

The missing paper proving that rule PCA_1 is computation-universal:

http://bprentice.webenet.net/PCA/16%20S ... tomata.pdf

Brian Prentice

http://bprentice.webenet.net/PCA/16%20S ... tomata.pdf

Brian Prentice

- August 31st, 2019, 11:33 pm
- Forum: Other Cellular Automata
- Topic: Partitioned Cellular Automata
- Replies:
**101** - Views:
**18218**

### Re: Partitioned Cellular Automata

A new 3c/606 diagonal ship:

The list of ships in this thread's introduction and the associated archive have been updated.

Brian Prentice

Code: Select all

```
x = 5, y = 4, rule = PCA_4
3.A$A.D.H$.D$H!
```

Brian Prentice

- August 31st, 2019, 11:22 pm
- Forum: Other Cellular Automata
- Topic: Need help determining issue with custom rule tree
- Replies:
**6** - Views:
**1403**

### Re: Need help determining issue with custom rule tree

Gamedziner,

Use one of the rule tree generators included with Golly. Several languages are supported.

Brian Prentice

Use one of the rule tree generators included with Golly. Several languages are supported.

Brian Prentice