Search found 877 matches

by Freywa
December 2nd, 2023, 10:42 pm
Forum: Other Cellular Automata
Topic: Symbiosis
Replies: 1537
Views: 201996

Re: Symbiosis

b-engine wrote:
December 2nd, 2023, 7:51 pm
Pi-to-2G:

Code: Select all

x = 14, y = 3, rule = Symbiosis
3B8.ABA$2.B8.B.B$3B8.ABA!

Code: Select all

x = 12, y = 3, rule = Symbiosis
3B8.A$2.B8.B$3B8.A!
by Freywa
November 25th, 2023, 6:28 am
Forum: Other Cellular Automata
Topic: Trine
Replies: 21
Views: 3910

Re: Trine

I've made a major but backwards-compatible (with respect to existing circuitry) change to Trine to make its "triangle rule" universal – in any configuration looking like this: x = 2, y = 2, rule = Trine A$BC! the state-1 (brightest) cell ignores the state-3 (darkest) cell when determining its number...
by Freywa
November 15th, 2023, 8:29 am
Forum: Patterns
Topic: Smallest Known Oscillators to p106 (and Beyond)
Replies: 190
Views: 37736

Re: Smallest Known Oscillators to p106 (and Beyond)

galoomba wrote:
October 31st, 2023, 2:57 am
(It's marking it as a pentadecathlon shuttle. Kinda suspicious. Maybe that's what it's calling all p15n shuttles)
30 is a multiple of 15 and buckaroos, inline inverters and such have been used with PDs for a long time in p30 tech, so I just lumped the buckaroo with the PD shuttles in Skopje.
by Freywa
December 5th, 2022, 11:17 am
Forum: Other Cellular Automata
Topic: Just Friends (B2-a/S12)
Replies: 65
Views: 30364

Re: Just Friends (B2-a/S12)

New SKOP22 from C4_1 (again?):

Code: Select all

x = 9, y = 14, rule = B2-a/S12
5bo$3bobo$2obobob2o$3bobo4$3b2o3$5bo$3bobo$3bobo$3bo!
by Freywa
November 28th, 2022, 9:04 pm
Forum: Other Cellular Automata
Topic: Just Friends (B2-a/S12)
Replies: 65
Views: 30364

Re: Just Friends (B2-a/S12)

On a side note, I have a faint hope that someone might restart drifter search and find a better connection between 5c/8 diagonal wires (marked with state 3 in my last post) with lower repeat time. Drifters are almost moot now. Because of the stable big glider reflector I found there are only 24 per...
by Freywa
November 27th, 2022, 2:32 pm
Forum: Other Cellular Automata
Topic: Just Friends (B2-a/S12)
Replies: 65
Views: 30364

Re: Just Friends (B2-a/S12)

EDIT two hours later: slightly reduced stator. Also the drifter can be easily started with a glider or a big glider; if a drifter-to-glider signal receiver is built, we would have fast stable reflectors. This is how far I managed to reduce the stator on my side: x = 114, y = 39, rule = B2-a/S12Supe...
by Freywa
November 25th, 2022, 9:34 pm
Forum: Other Cellular Automata
Topic: Just Friends (B2-a/S12)
Replies: 65
Views: 30364

Re: Just Friends (B2-a/S12)

New SKOP22 by 1 cell, adapted from this soup:

Code: Select all

x = 13, y = 10, rule = B2-a/S12
9bo$9bo$6b2o$8b4o2$10bo$b2o3bobobo$6bo$4o5bob2o$9bo!
by Freywa
November 15th, 2022, 2:11 am
Forum: Patterns
Topic: 21-bit still life syntheses
Replies: 82
Views: 10087

Re: 21-bit still life syntheses

Can the cleanup be improved? x = 286, y = 85, rule = B3/S23 234bo$233bo$233b3o13$243bo$242bo$242b3o12$39bo10bo$37bobo11b2o$38b 2o10b2o$127bo$127bobo$127b2o2$123b2o$55bobo65b2o$55b2o89bo$56bo89b obo$146b2o$48bo93b2o$46bobo17bo74bo2bo$bo45b2o17bo75b2o$2bo63bo48b 2o84b2o$3o111bo2bo82bo2bo$62b3o3b3o44b2...
by Freywa
November 14th, 2022, 8:58 pm
Forum: Patterns
Topic: 21-bit still life syntheses
Replies: 82
Views: 10087

Re: 21-bit still life syntheses

Here's synthesis of xs21_8kk6pjgozx346 : Don't steal my limelight. xp2_s01110szw222+1>39 -11//-25 18 -8 -10 20 -1 69 -19/-1 18 12 3 48 6@12R-9 8>xp2_yi33zy9g88gyj2552zoy911y04acz1y3ggg07y3888yi4aa4zye70ggg07zyyo8gzyi66y862i6paa4y133zyx321 xp2_yi33zy9g88gyj2552zoy911y04acz1y3ggg07y3888yi4aa4zye70ggg...
by Freywa
November 10th, 2022, 1:29 am
Forum: Other Cellular Automata
Topic: Just Friends (B2-a/S12)
Replies: 65
Views: 30364

Re: Just Friends (B2-a/S12)

Open Science Grid found this statorless p58 in C4_4 apgsearch: x = 20, y = 20, rule = B2-a/S12 6bob3o$5bo3bo$7bo$3bo5bo6bo$14bo$4bo13bo$19bo$17bo$19bo$o15bob2o$2obo 15bo$o$2bo$o$bo13bo$5bo$3bo6bo5bo$12bo$10bo3bo$9b3obo! And this p30 (stator-minimised): x = 28, y = 28, rule = B2-a/S12 13bo$13bo$10b2o...
by Freywa
November 4th, 2022, 7:14 am
Forum: Patterns
Topic: Smallest Known Oscillators to p106 (and Beyond)
Replies: 190
Views: 37736

Re: Smallest Known Oscillators to p106 (and Beyond)

SKOP 188?: x = 37, y = 31, rule = B3/S23 13b2o$13b2o4$29bo$23bo6bo$9b4o9bob2o3b2o$8bo5b3o18b2o$3b2o4b4o6b4o12b o$3b2o4bo2bo6b2obo9b2obo$10bobo6b2obo7bo3bo$6bo3bo2bob3o11bo$5bobo2bo 2b4obo9b2o2bo$4bo2b2o9bob4o2bo2bobo$7bo11b3obo2bo3bo$2bo3bo7bob2o6bob o$bob2o9bob2o6bo2bo4b2o$bo12b4o6b4o4b2o$2o18b3o5...
by Freywa
November 2nd, 2022, 4:44 am
Forum: Patterns
Topic: Oscillator Discussion Thread
Replies: 4447
Views: 1670218

Re: Oscillator Discussion Thread

p42 middleweight sparker (low clearance though) by Carson Cheng x = 36, y = 30, rule = B3/S23 12b2o$12b2o$4bo$4obo$3obobo$5bobo$6bo$5b2o$5b2o$5b2o5b3o16b2o$11bo3bo 14b4o$10bo5bo12bo2bobo$6b2o3bo3bo12bobo2b2o$6bobo3b3o12bobo$7b3o16b2o$ 8b2o16b3o$6bobo12b3o3bobo$b2o2bobo12bo3bo3b2o$bobo2bo12bo5bo$2b4...
by Freywa
October 26th, 2022, 9:17 pm
Forum: Other Cellular Automata
Topic: Just Friends (B2-a/S12)
Replies: 65
Views: 30364

Re: Just Friends (B2-a/S12)

Stable big glider reflector with repeat time 76, found from this soup : x = 22, y = 22, rule = B2-a/S12 bo2$2obo$3bo$2b2o9$14bo$14bo$16bo$14bobo2$19b3o$13b6o$20bo$20bo! This leads to an ultimate absolute bound on SKOP size of less than 100 cells – 82 cells for p136+ to be exact: x = 36, y = 28, rule...
by Freywa
October 25th, 2022, 1:19 pm
Forum: Other Cellular Automata
Topic: Just Friends (B2-a/S12)
Replies: 65
Views: 30364

Re: Just Friends (B2-a/S12)

Weird sparky p34 from D8_1 apgsearch: x = 15, y = 10, rule = B2-a/S12 3o9b3o$7bo$b3o7b3o2$4bo5bo$4bobobobo$6bobo$6bobo2$4b7o! ...which reflects gliders: x = 15, y = 23, rule = B2-a/S12 2bo$3o13$3o9b3o$7bo$b3o7b3o2$4bo5bo$4bobobobo$6bobo$6bobo$8bo! p68 glider loop: x = 45, y = 45, rule = B2-a/S12 19b...
by Freywa
October 3rd, 2022, 10:54 pm
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 1862
Views: 1124034

Re: Synthesising Oscillators

New SKOP86 in 22 gliders: x = 266, y = 44, rule = B3/S23 2bobo2b3o$3b2o2bo$3bo4bo48b2o4b2o56b2o4b2o55b2o4b2o54b2o4b2o$12bo 44b2o4b2o56b2o4b2o55b2o4b2o54b2o4b2o$11b2o$11bobo4$254bo$139b2o31b 2o28b2o30b2o18bo9b2o$139bo33bo20bo7bo32bo7bo10bo9bo$76bo32bo27bobo 33bobo16b2o6bobo32bobo6b2o16bobo$75b2o32b2o...
by Freywa
June 9th, 2022, 1:18 pm
Forum: Other Cellular Automata
Topic: Flow6
Replies: 52
Views: 14662

Re: Flow6

Can this modified Langton's ant unit cell be simplified? x = 74, y = 34, rule = Flow6 67.7A$67.A2.2A.A$60.7A.A2.A.A$60.A2.2A.2A.E.A.A$53.7A.A2.A3.A2.A.A$ 53.A2.2A.2A.E.A3.2A.A.A$46.7A.A2.A3.A2.A3.4A.A$46.A2.2A.2A.E.A3.2A.A 3.A4.A$39.7A.A2.A3.A2.A3.4A3.A4.A$39.A2.2A.2A.E.A3.2A.A3.A3.4A4.A$32. 4ABEA.A...
by Freywa
June 8th, 2022, 2:46 pm
Forum: Other Cellular Automata
Topic: Trine
Replies: 21
Views: 3910

Re: Trine

Ed Pegg's counting Langton's ant : x = 111, y = 29, rule = Trine 4.C.BCA$2.AB.A2.B3.C$3.C.BC.BC.B$2.A.A2.A2.A$2.B2.CB2.C$2.C2.CB.B$3. 2A2.A$4.B2.C$4.C2.B$4.A2.A4$4.C.BCA6.C.BCA6.C.BCA6.C.BCA6.C.BCA6.C.BC A6.C.BCA6.C.BCA6.C.BCA6.C.BCA$.CAB.A2.B3.CAB.A2.B3.CAB.A2.B3.CAB.A2.B 3.CAB.A2.B3.CDB.A2.B3.CAB...
by Freywa
May 30th, 2022, 12:30 pm
Forum: Other Cellular Automata
Topic: Trine
Replies: 21
Views: 3910

Re: Trine

Langton's ant unit cell (80×80 – position the unit cells so that their state-1 tips just overlap, without rotating or reflecting): x = 81, y = 81, rule = Trine 29.A21.A$29.C2.CBACBACBACBACBACBACB$29.B.A$28.A2.2BCABC$27.C2.CB.B3.A BCAB$26.B.BA2.A2.A6.C$7.ABCABCABCABCABCABCA2.BA3.CB.CBA2.A.ABCABCABCA ...
by Freywa
May 29th, 2022, 12:27 am
Forum: Patterns
Topic: Smallest Known Oscillators to p106 (and Beyond)
Replies: 190
Views: 37736

Re: Smallest Known Oscillators to p106 (and Beyond)

New SKOP49 using the meatball in 188 cells: x = 81, y = 62, rule = B3/S23 11b4o$10bo4bo$8b3o4b2o$7bo6bobo$8bob2obo$8bo2bobo2bo$11bob2obo$8bobo6b o$8b2o4b3o12bo$9bo4bo15b2o$10b4o15b2o$4b2o$bo2bo2bo$obobob2o$bo2bo2bob o14b2o$4b2o2b2o13bo2bo$15b3o6b2o$13b2ob2o$15bo$27b2o$27bo14bo$28b3o12b o$30bo10b3o4$...
by Freywa
May 4th, 2022, 1:54 am
Forum: Other Cellular Automata
Topic: Trine
Replies: 21
Views: 3910

Re: Trine

Thank you, very interesting! And what is the third pin on top the multiplicands? I guess it marks the beginning of the bit sequence? Indeed – I call such leads which indicate the positions of the arguments and trigger certain steps in the computation initiators . Here the initiator bit extracts one...
by Freywa
April 28th, 2022, 12:42 am
Forum: Other Cellular Automata
Topic: Trine
Replies: 21
Views: 3910

Re: Trine

This works remarkably, almost unbelievably fast for a 32-bit multiplier! Do you have schematics? Is it a Wallace multiplier? Both this multiplier and its equivalent in Wireworld Modern (check that rule's thread for the pattern) merely implement the shift-and-add procedure for binary multiplication;...
by Freywa
April 21st, 2022, 12:27 pm
Forum: Other Cellular Automata
Topic: Trine
Replies: 21
Views: 3910

Re: Trine

32-bit multiplier, working much the same way as the Wireworld Modern version: x = 312, y = 93, rule = Trine 67.CAB3.ABC3.BCA3.CAB3.ABC3.BCA3.CAB3.ABC3.BCA3.CAB3.ABC3.BCA3.CAB3.A BC3.BCA3.CAB3.ABC3.BCA3.CAB3.ABC3.BCA3.CAB3.ABC3.BCA3.CAB3.ABC3.BCA3. CAB3.ABC3.BCA3.CAB$66.B2.CABC2.ABCA2.BCAB2.CABC2.ABC...
by Freywa
February 16th, 2022, 8:55 pm
Forum: Patterns
Topic: Oscillator Discussion Thread
Replies: 4447
Views: 1670218

Re: Oscillator Discussion Thread

C28 wrote:
February 16th, 2022, 8:53 pm
cool! what will you call it?
I think the present name p23 honey farm hassler is fine enough as it is.
by Freywa
February 15th, 2022, 11:29 pm
Forum: Other Cellular Automata
Topic: Just Friends (B2-a/S12)
Replies: 65
Views: 30364

Re: Just Friends (B2-a/S12)

SKOP31 at 18 cells, adapted from the D2_+1 search:

Code: Select all

x = 11, y = 8, rule = B2-a/S12
6b2o2$2o3b5o$3bo$bo6b3o$bo5bo$8bo$8bo!
by Freywa
January 20th, 2022, 12:46 pm
Forum: The Sandbox
Topic: Zarankiewicz's problem
Replies: 7
Views: 1023

Re: Zarankiewicz's problem

The 105 solution on the first row is constructible from the Fano plane. I already knew that – I have also proved that it is the unique extremal matrix (where graph isomorphism determines uniqueness) for z(3,3, 15,15). The real challenge I'm facing now is to determine all non-isomorphic extremal mat...