Search found 877 matches
- January 18th, 2022, 1:29 pm
- Forum: The Sandbox
- Topic: Zarankiewicz's problem
- Replies: 7
- Views: 1041
Re: Zarankiewicz's problem
The values given by Guy in his 1967 and 1969 papers for z(2,2, 14,n) for n >= 24 are WRONG . x = 30, y = 76, rule = LifeHistory 26D$D3A3.2A16.D$DA2.2A3.2A14.D$DA9.5A9.D$DA14.5A4.D$D.A.A.A4.A4.A8.D$ D.A2.A6.A4.A3.A3.D$D.A6.A3.A4.A3.2A.D$D2.2A9.A4.A2.A2.D$D2.A.2A8.A2.A 6.D$D2.A6.A.A3.A6.2AD$D3.A2.A7.A...
- January 16th, 2022, 5:34 pm
- Forum: Patterns
- Topic: Synthesising Oscillators
- Replies: 1870
- Views: 1125642
Re: Synthesising Oscillators
Raucci's p217 in 160 gliders, with the final step from Dave Greene: x = 1300, y = 110, rule = B3/S23 1256bo$1255bo$1255b3o2$1265bobo$1265b2o$1266bo$757bo$755bobo245bo$ 756b2o246b2o$1003b2o$873bo$759bo112bo$759bobo110b3o$753bobo3b2o98b o20bo120bo117bo7b2o116bo7b2o$754b2o104bo18bobo118bobo115bobo5bobo...
- January 15th, 2022, 1:55 pm
- Forum: Other Cellular Automata
- Topic: Just Friends (B2-a/S12)
- Replies: 65
- Views: 30400
Re: Just Friends (B2-a/S12)
…right, I've just added it to Skopje – have you found any more new SKOPs in the meantime?creeperman7002 wrote: ↑October 8th, 2021, 5:55 pmp39, found by adding domino catalysts to the SKOP56:
- January 14th, 2022, 12:00 pm
- Forum: Patterns
- Topic: 21-bit still life syntheses
- Replies: 82
- Views: 10168
Re: 21-bit still life syntheses
Some soup-harvesting to solve three: #C xs21_4a96k4oz259701 x = 46, y = 54, rule = B3/S23 o$b2o$2o8$17bo$15bobo$16b2o14bo$33bo$31b3o$35bo$34bo$34b3o4$30bo$21bo 7bo5bobo$22bo6b3o3b2o$20b3o13bo19$6b2o$5bobo$7bo6$43b3o$43bo$44bo! #C xs21_ca2jaicz31252 x = 275, y = 40, rule = B3/S23 6bo122bo24bo$5bobo12...
- January 13th, 2022, 4:16 pm
- Forum: Patterns
- Topic: Smallest Known Oscillators to p106 (and Beyond)
- Replies: 190
- Views: 37944
Re: Smallest Known Oscillators to p106 (and Beyond)
A p8 variant of the above found by Kazyan on Discord achieves 108 cells for 128+8n to 240 and 103 for 248+8n. This both ties the fixed SKOP128 and displaces the p256 gun as the smallest SKOP256: x = 93, y = 68, rule = B3/S23 11b2o60b2o$11b2o60b2o3$11bo61bo$9bobo59bobo$7bo2b2o57bo2b2o$b2o5b2o53b 2o5b...
- January 13th, 2022, 9:48 am
- Forum: Patterns
- Topic: Synthesising Oscillators
- Replies: 1870
- Views: 1125642
Re: Synthesising Oscillators
The new SKOP102 in 30: x = 486, y = 122, rule = B3/S23 398bo$399b2o$398b2o4$105bobo$105b2o$106bo16$78bo$76bobo$77b2o344bo bo$424b2o$424bo4$85bo$83bobo$84b2o$80b2o115b2o100b2o116b2o$79bobo 114bobo99bobo114bo2bo$81bo113b3o99b3o$195b2o100b2o$196bobo99bobo 114b2obo$197bobo2b2o95bobo2b2o111bobo2b2o$198bo...
- January 13th, 2022, 9:30 am
- Forum: Patterns
- Topic: Thread for your unsure discoveries
- Replies: 3226
- Views: 1487094
Re: Thread for your unsure discoveries
Just to clarify, the specific p4 variant that Jormungant suggested seems to be shorter but wider than the p4 in the p52 gun -- maybe it could find a use somewhere (but not in the p52). I would like to see how low in population the p4 and p8 versions can go – they may be useful for Skopje. I have no...
- January 13th, 2022, 7:19 am
- Forum: Patterns
- Topic: Oscillator Discussion Thread
- Replies: 4490
- Views: 1677810
Re: Oscillator Discussion Thread
While implementing an upgrade to Skopje I noticed that Jason's p156 is no longer SKOP156, that title now held by a p6 loop (92 -> 86): x = 46, y = 59, rule = B3/S23 9bo$4b2o3b3o$2obo8bo$2o2bo2bo3b2o$5bobo$6bo7b2o$14b2o$5b2o$5b2o7bo $13b2o$13bobo7$12bo$11bobo$11bobo$12bo$16b2o$16bobo$18bo$18b2o10$ 26...
- January 12th, 2022, 5:51 pm
- Forum: Patterns
- Topic: Oscillator Discussion Thread
- Replies: 4490
- Views: 1677810
Re: Oscillator Discussion Thread
To summarise: x = 232, y = 132, rule = B3/S23 2b3o30b3o2$o5bo2b2o18b2o2bo5bo$o4b2o4bo16bo4b2o4bo$o11bo14bo11bo$11b2o 14b2o3$5b2o26b2o$5bo28bo$6b3o22b3o$8bo22bo25$2b3o30b2o14b2o30b2o14b2o 30b2o14b2o30b2o14b2o30b3o$36bo14bo32bo14bo32bo14bo32bo14bo$o5bo2b2o18b 2o4bo16bo4b2o18b2o4bo16bo4b2o18b2o4bo16bo4...
- January 12th, 2022, 4:23 pm
- Forum: Patterns
- Topic: Smallest Known Oscillators to p106 (and Beyond)
- Replies: 190
- Views: 37944
Re: Smallest Known Oscillators to p106 (and Beyond)
All 6n periods can now be realised with strictly less than 100 cells ; the following construction based on here achieves 66+6n in 96, 132+12n in 86 and 264+24n in 83 (p102 shown): x = 58, y = 71, rule = B3/S23 9bo$4b2o3b3o$2obo8bo$2o2bo2bo3b2o$5bobo$6bo7b2o$14b2o$5b2o$5b2o7bo $13b2o$13bobo7$12bo$11...
- January 12th, 2022, 2:22 pm
- Forum: Patterns
- Topic: Synthesising Oscillators
- Replies: 1870
- Views: 1125642
Re: Synthesising Oscillators
Strontium in 14 gliders: x = 97, y = 62, rule = B3/S23 76bo$77b2o$76b2o2$96bo$94b2o$95b2o3$78b2o$79bo$39bo39bobo$39b2o39b 2o$38bobo$43b3o$43bo44bobo$44bo43b2o$89bo$85bo$84bo$84b3o2$81b2o$ 81bobo$81bo10$91bo$89b2o$90b2o3$85b2o$77bo7bobo$77b2o6bo$76bobo3$ 6bo$5bo$5b3o$obo$b2o38b2o37b2o$bo38bobo36bobo$...
- January 12th, 2022, 2:00 pm
- Forum: Patterns
- Topic: Oscillator Discussion Thread
- Replies: 4490
- Views: 1677810
Re: Oscillator Discussion Thread
- January 12th, 2022, 6:32 am
- Forum: Patterns
- Topic: Synthesising Oscillators
- Replies: 1870
- Views: 1125642
Re: Synthesising Oscillators
New SKOP96 in 24 gliders (trivially implying the gun itself can be made in 20, by removing the snake): x = 274, y = 82, rule = B3/S23 257bo$255bobo$256b2o$260bo$62b2o119b2o59b2o14bobo$63bo120bo60bo14b2o$b o61bobo118bobo58bobo$b2o61b2o119b2o59b2o$obo$5b3o$5bo15bobo3bobo53bobo 3bobo112bo50bo9bobo4b2o$...
- January 8th, 2022, 1:25 am
- Forum: Patterns
- Topic: Oscillator Discussion Thread
- Replies: 4490
- Views: 1677810
Re: Oscillator Discussion Thread
I believe there's one new SKOP in the form of a 45-cell SKOP32 (beating out the 48-cell previous record holder), though I am unaware of any SKOPs found between the 66-cell SKOP62 and the 45-cell SKOP32. I saw the (your) new SKOP32 while browsing the thread prior to my post asking if there were any ...
- January 7th, 2022, 6:35 am
- Forum: Patterns
- Topic: Oscillator Discussion Thread
- Replies: 4490
- Views: 1677810
Re: Oscillator Discussion Thread
Have any new SKOPs been found since the last time I posted here?
- January 7th, 2022, 3:33 am
- Forum: The Sandbox
- Topic: Zarankiewicz's problem
- Replies: 7
- Views: 1041
Re: Zarankiewicz's problem
Now with the 2×2 case: x = 310, y = 228, rule = LifeHistory 21.D4.3D3.3D4.D.3D3.3D.3D2.3D.3D3.D.D.3D4.3D.3D5.3D.3D6.3D.3D7.3D.3D 8.D.D.3D9.D.D.D.3D8.D.3D.D.D9.D.3D.3D10.3D.D.3D11.3D.D.D.3D10.3D.3D. 3D11.3D.3D.D.D12.3D.3D.3D$21.D6.D5.D4.D3.D5.D.D.D4.D.D.D3.D.D.D.D4.D 5.D5.D3.D8.D.D3.D7.D.D.D.D8.D.D3....
- January 5th, 2022, 4:37 pm
- Forum: The Sandbox
- Topic: Zarankiewicz's problem
- Replies: 7
- Views: 1041
Re: Thread for your unsure discoveries
Is this a decent summary of Zarankiewicz's problem ? It's a pretty sure sign that even the problem statement is over my head, when I can't even figure out what the definitions of "a" and "b" are. Some of the results here (n >= 11 for 3×3, n >= 8 for 4×4) are genuinely new and proven by me. Indeed I...
- January 5th, 2022, 5:08 am
- Forum: The Sandbox
- Topic: Zarankiewicz's problem
- Replies: 7
- Views: 1041
Zarankiewicz's problem
All non-isomorphic solutions to certain small square instances of the 3×3 and 4×4 Zarankiewicz's problem, as verified through SAT solving: x = 176, y = 184, rule = LifeHistory 21.D5.3D4.3D5.D.3D4.D.3D5.3D.3D4.3D.3D5.D.D.3D6.3D.3D7.3D.D.D8.3D.3D 9.3D.D12.D.3D.3D$21.D7.D4.D7.D.D.D4.D.D9.D3.D6.D3.D5.D....
- September 27th, 2021, 1:35 am
- Forum: Other Cellular Automata
- Topic: Trine
- Replies: 21
- Views: 3919
Re: Trine
Finally made a fully asynchronous divide-by-3: x = 213, y = 127, rule = Trine 105.CAB$104.B3.CA$104.A2.A.B$103.BFC.BFC$103.A.B2.A$104.CACB$87.ABCAB CABCABCABCAB4.CAB$86.C24.C$85.B19.CAB4.A$84.A19.B3.CA3.B$83.C20.A2.A. B4.C$82.B20.BFC.B2C3.B.A$81.A21.A.B2.A3.A3.B$80.C23.CACB3.C5.C$79.B3. CABCABCABCAB...
- September 25th, 2021, 8:30 am
- Forum: General Discussion
- Topic: Beta Reader Thread for Game of Life Textbook
- Replies: 67
- Views: 10192
Re: Beta Reader Thread for Game of Life Textbook
Heh, glider synthesis got its own chapter all to itself in Volume 1 (Chapter 5), which is more than a whole lot of other perfectly good topics can say. Specifically there needs to be a mention of all the tools that made all the patterns featured in this book possible. For example, without my Shinju...
- September 24th, 2021, 12:42 pm
- Forum: General Discussion
- Topic: Beta Reader Thread for Game of Life Textbook
- Replies: 67
- Views: 10192
Re: Beta Reader Thread for Game of Life Textbook
And what about glider synthesis which seems to be all the rave these days? After all, I made Shinjuku into a catalog of about 1.5 million components.
- September 20th, 2021, 9:30 pm
- Forum: Other Cellular Automata
- Topic: 345/2-c/3 (Starwars-alike)
- Replies: 5
- Views: 1159
Re: 345/2-c/3 (Starwars-alike)
Nothing can beat this:Alexander Yu wrote: ↑September 12th, 2021, 12:34 amit has got to be the most dense quadratic growth pattern i ever seen
Code: Select all
x = 1, y = 1, rule = B123/S01358
o!
- September 20th, 2021, 10:19 am
- Forum: Other Cellular Automata
- Topic: Trine
- Replies: 21
- Views: 3919
Re: Trine
The binary-to-BCD converter generating program now hooks up the SSDs and trims redundant wires too! import golly as g g.addlayer() g.setrule("Trine") g.setname("Double dabble") unit = g.parse("""2.CFDABCA$.B6.BCAD.B$2.EBCAB5.E.C.EFC2.EF$.D5.CABC3.AB3.AD2.D$.AEB2.B 2.A.AE.C.CA3.E.AB$C3.C2.A.C.D.BC.C....
- September 20th, 2021, 9:08 am
- Forum: Bugs & Errors
- Topic: Golly bugs
- Replies: 87
- Views: 18685
Re: Golly bugs
The putcells() Python command is broken with respect to its "copy" mode; specifying it does not change the paste behaviour from the default "or". To illustrate: import golly as g g.putcells(g.parse("bo!")) g.putcells(g.parse("ob!"), 0, 0, 1, 0, 0, 1, "copy") Running this in an empty universe gives a...
- September 19th, 2021, 4:45 pm
- Forum: Other Cellular Automata
- Topic: Trine
- Replies: 21
- Views: 3919
Re: Trine
Double dabble unit and resulting 32-bit binary-to-BCD converter: x = 25, y = 28, rule = Trine 11.C$10.B.A$ABCABCABC.A.B.BCABCABCABC$8.A.C.CA$.ABCABC2.B5.AB.CAB.C$C 3.C2.A.C.D.BC.C.B2.B.A$.AEB2.B2.A.AE.C.CA3.E.AB$.D5.CABC3.AB3.AD2.D$ 2.EBCAB5.E.C.EFC2.EF$.B6.BCAD.B$2.CFDABCA5$2.E.CAB$.B.F2.C$4.B.A4.C...