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
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:

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!
``````
Brian Prentice
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
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:

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!
``````
Brian Prentice
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:

Code: Select all

``````x = 5, y = 5, rule = PCA_4
2.A.H2\$H\$.D.D\$2.H!
``````
The list of ships in this thread's introduction and the associated archive have been updated.

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:

Code: Select all

``````x = 31, y = 4, rule = PCA_4
A\$.D23.H\$24.I5.B\$25.H3.H!
``````
which leads to this c/15613 orthogonal ship:

Code: Select all

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

Code: Select all

``````x = 4, y = 5, rule = PCA_4
2.B\$.H\$A\$3.D\$D.H!
``````
The list of ships in this thread's introduction and the associated archive have been updated.

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
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:

Code: Select all

``````x = 5, y = 4, rule = PCA_4
3.A\$A.D.H\$.D\$H!
``````
The list of ships in this thread's introduction and the associated archive have been updated.

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