For discussion of other cellular automata.

I found a transparent loaf in B3/S234q as a result of a bug in a script I was writing:
x = 6, y = 19, rule = B3/S234qo$2o$b2o13bo$2o13bobo$15bo2bo$16b2o! x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1876 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL B3-j678/S34678 is, well... interesting: x = 16, y = 16, rule = B3-j678_S346783bobobo3b3obo$5b2o2bo$2ob3o2bob2o3bo$2o2bobob5o2bo$bob2o4b2o2b3o$7bob2o3b2o$8b2ob2o$b3obobo4bob2o$4b3obobobobo$2o2b2o2bo3b4o$4bo2bo3bo2bo$ob2ob3obobo$4ob11o$2b2ob3o3bobo$o5bobo2b2o$b2o3b3obobo2bo!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

drc

Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

B25678/S4578 is a self-inverse variant of Seeds. Solid rectangles whose dimensions are 4 or greater form period 3 oscillators, which can change or form guns when hit by spaceships:

x = 119, y = 218, rule = B25678/S457868bo2bo2$69b2o128$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$o30b88o$bo29b88o$bo29b88o$o30b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o! I think the smallest possible gun is this: x = 10, y = 4, rule = B25678/S45784o2b4o$10o$3ob2ob3o$10o!

With more than one photon inside, they can run for a long time before the photons collide and make the pattern explode:
x = 49, y = 50, rule = B25678/S457849o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$3ob2ob42o$49o$4o2b43o$49o$49o$49o$49o$49o$49o$49o$2ob46o$4ob44o$4ob44o$2ob46o$49o$49o$49o! There is also a double wickstretcher: x = 4, y = 2, rule = B25678/S45784o$4o!

gameoflifeboy

Posts: 474
Joined: January 15th, 2015, 2:08 am

gameoflifeboy wrote:B25678/S4578 is a self-inverse variant of Seeds. Solid rectangles whose dimensions are 4 or greater form period 3 oscillators, which can change or form guns when hit by spaceships

I think these might be the first high-period guns in a B2 rule.
-Matthias Merzenich
Sokwe
Moderator

Posts: 1480
Joined: July 9th, 2009, 2:44 pm

I found an eater for the wick so we can make extensible spaceships too:
x = 39, y = 46, rule = B25678/S457812bo$9bo4bo$6bo4b3obo$8b3ob3obo$o3bob2ob2ob3obo$2bob3obobo4bo$2b2o3bo2bobo$o2bobo4bobo$3bob4obo4bo$3bobob4ob3obo$3bobob4ob3obo$3bob4obo4bo$o2bobo4bobo$2b2o3bo2bobo$2bob3obobo4bo$o3bob2ob2ob3obo$8b3ob3obo$6bo4b3obo$9bo4bo$12bo7$12bo$9bo4bo$6bo4b3obo$8b3ob3obo$o3bob2ob2ob3obo$2bob3obobo4bo$2b2o3bo2bobo$o2bobo4bobo$3bob4obo26bo$3bobob4ob25obo$3bobob4ob25obo$3bob4obo26bo$o2bobo4bobo$2b2o3bo2bobo$2bob3obobo4bo$o3bob2ob2ob3obo$8b3ob3obo$6bo4b3obo$9bo4bo$12bo! EDIT: A smaller one: x = 34, y = 16, rule = B25678/S45786bo$3bo4bo$o4b3obo$2b3ob2obo$2bob3obo$o6bo$4bo27bo$6b26obo$6b26obo$4bo27bo$o6bo$2bob3obo$2b3ob2obo$o4b3obo$3bo4bo$6bo!

EDIT 2: An even smaller one:
x = 31, y = 12, rule = B25678/S45783bo$4bo$4bo$3bo$o28bo$2b27obo$2b27obo$o28bo$3bo$4bo$4bo$3bo! gameoflifeboy Posts: 474 Joined: January 15th, 2015, 2:08 am ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Here's an actual wickstretcher, but by now I'm pretty sure this isn't the smallest ending: x = 11, y = 6, rule = B25678/S45784bo3bo$bo4bobobo$ob5ob2o$ob5ob2o$bo4bobobo$4bo3bo!

Sokwe wrote:I think these might be the first high-period guns in a B2 rule.

I actually found them in April 2015, but I didn't post them until now. Now I have a motivation to find more things in this rule.

gameoflifeboy

Posts: 474
Joined: January 15th, 2015, 2:08 am

gameoflifeboy wrote:With more than one photon inside, they can run for a long time before the photons collide and make the pattern explode:
x = 49, y = 50, rule = B25678/S457849o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$3ob2ob42o$49o$4o2b43o$49o$49o$49o$49o$49o$49o$49o$2ob46o$4ob44o$4ob44o$2ob46o$49o$49o$49o! In the special case of a square, they never collide: x = 50, y = 50, rule = B25678/S457850o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$42ob7o$24ob2ob16ob5o$44ob5o$25o2b15ob7o$50o$50o$50o$50o$50o!

Ones that take a seemingly arbitrary amount of time before self-destructing are likely feasible.
x = 81, y = 96, rule = LifeHistory58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A$4.2A18$4.2A$4.2A2.2A$8.2A! Gamedziner Posts: 785 Joined: May 30th, 2016, 8:47 pm Location: Milky Way Galaxy: Planet Earth ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Sokwe wrote: gameoflifeboy wrote:B25678/S4578 is a self-inverse variant of Seeds. Solid rectangles whose dimensions are 4 or greater form period 3 oscillators, which can change or form guns when hit by spaceships I think these might be the first high-period guns in a B2 rule. velcorex posted a pattern collection for this rule in mid-2014 which included the adjustable period gun, although it had a more complex corner stabilisation. The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki. wildmyron Posts: 1227 Joined: August 9th, 2013, 12:45 am ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Using a torus with shift 11, one can create a pseudorandom number generator: x = 98, y = 100, rule = B25678/S4578:T1000+11,20098o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$37o2b59o$98o$36ob2ob58o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o!

This currently doesn't work in the viewer.

EDIT: Now it does.

gameoflifeboy

Posts: 474
Joined: January 15th, 2015, 2:08 am

Weird p44 oscillator in interesting (and stable!) rule:
x = 0, y = 0, rule = B3acei4e678_S236785b2o$6bo8$3o$bo8$2bo$b2o! Natural 23-bit still life: x = 0, y = 0, rule = B3acei4e678_S23678o2bob7o2b4o$2b3o4bo9bo$4bo2b2ob3ob5o$4bobob3o3bobob2o$bo2bob3o2b4ob2o$obob4obobob2o2bo$4bo2bobo3bob3obo$3o3bob4obo2b2o$5ob3o2bob2ob2obo$4bo3bobob2o3b2o$3bo2b2obob2obob3o$4obo3b8o$2bobobo2b2obobob3o$2o2bo3b3o4bob3o$o4bo3bob4ob2obo$bo2bo2bo2bob3o2bo$2b2obob2o2bob2o$3ob7obob5o$o6b2ob4obobo$3ob2o3bo4bo4bo!

F-pentomino in this rule is a failed replicator:
x = 0, y = 0, rule = B3_S2-i3-a4cakeb2o$2o$bo!
Last edited by ygh on July 17th, 2016, 3:07 pm, edited 1 time in total.

ygh

Posts: 47
Joined: March 18th, 2016, 4:47 pm

Probably known, but a cool HL reaction:

x = 19, y = 19, rule = B36/S233bo$3bo$3bo$3o3$8bo$7b2o$6b2o7$18bo$18bo$18bo$15b3o!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

drc

Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

I have long known that the Generations rule 238/34/3 has patterns that last a very long time, with 16 by 16 soups frequently running for over 10000 generations, due to the tub being a failed replicator:
x = 3, y = 3, rule = 238/34/3.A$A.A$.A!

Bilaterally symmetric patterns tend to last even longer:
x = 30, y = 3, rule = 238/34/328.A$10A17.A.A$28.A!

By running a script, I have just found found a puffer based on the failed replicator from soup!
x = 16, y = 16, rule = 238/34/3BA.B2.AB3.B.2AB$2B2A.2A.A2.A.A$2B.A2B2.AB2.B.2B$4BA.2A.AB2A.BA$.A2.BA.A3.A.B$2B4.A5.B$.2A.AB2.A2.A.2BA$3A2.B.A4.B.2A$3.B2.2B.A4.2A$.2BA2BA2.A.2A2.B$3.B4.BA.B2.BA$.B.A2BA.2A3.B.A$.2BAB.B.A.A4.A$B2.2A.B.B.AB2.2A$2.B2.B2.BA2.B$.2AB.B7.2B! gameoflifeboy Posts: 474 Joined: January 15th, 2015, 2:08 am ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL gameoflifeboy wrote:By running a script, I have just found found a puffer based on the failed replicator from soup! Can you please share the script? This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.) Current rule interest: B2ce3-ir4a5y/S2-c3-y drc Posts: 1664 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL drc wrote:Can you please share the script? It's a basic thing I wrote to search for methuselahs. I was also planning to add an option to detect linear growth patterns but I haven't done this yet. It runs 16 by 16 soups recording the population every time the generation is a multiple of all the common periods (entered by you), and when this number has the same value 3 consecutive it assumes the pattern has stabilized. After the search finishes, it displays the soup that took the longest to stabilize, or, if it fails to detect that a soup has stabilized, it shows the soup that caused the failure. Possible failures to detect stabilization can be caused by an oscillator of an unexpected period or a linear growth pattern occurring. import golly as gdef gcd(n1, n2): if n1 < n2: return ord_gcd(n1, n2) else: return ord_gcd(n2, n1)def ord_gcd(l, g): if g % l == 0: return l return gcd(g % l, l)def lcm(n1, n2): return n1 * n2 / gcd(n1, n2)rawentry1 = g.getstring("Enter the most common naturally occurring periods of oscillators and spaceships in this rule separated by commas (no spaces):")rawentry2 = g.getstring("What is the maximum number of generations to run each soup?")rawentry3 = g.getstring("How many soups do you want to test?")periodlist = map(int, rawentry1.split(','))maxgens = int(rawentry2)soups = int(rawentry3)totalperiod = 1for period in periodlist: totalperiod = lcm(period, totalperiod)longest = [], 0for soupnum in range(soups): g.new('') g.select([0,0,16,16]) g.randfill(50) currsoup = g.getcells([0,0,16,16]) currpop = g.getpop() sameaslast = 0 totalgens = 0 success = False while totalgens < maxgens: g.run(totalperiod) totalgens += totalperiod if g.getpop() == currpop: sameaslast += 1 else: sameaslast == 0 currpop = g.getpop() if sameaslast == 3: # We assume it's stabilized success = True totalgens -= 3*totalperiod if totalgens > longest[1]: longest = currsoup, totalgens break if not success: g.new('') g.putcells(currsoup) g.show("Found soup lasting longer than %d generations" % (maxgens - 3*totalperiod)) break g.show("Searched %d soups; longest lifespan ~%d" % (soupnum + 1, longest[1])) g.update()if success: g.new('') g.putcells(longest[0]) g.show("Found soup stabilizing after ~%d generations" % longest[1]) gameoflifeboy Posts: 474 Joined: January 15th, 2015, 2:08 am ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Wow x = 4, y = 3, rule = 23/345/3.A$3A$A.2A! This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.) Current rule interest: B2ce3-ir4a5y/S2-c3-y drc Posts: 1664 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Front bit moves at 3c/7. x = 28, y = 46, rule = B3678/S23567811bo4bo$10b3o2b3o$10b3o2b3o$11bo4bo$11bo4bo$10bobo2bobo$10bobo2bobo$9bobob2obobo$9b4o2b4o$8bob8obo$9b10o$6bob12obo$5bob14obo$6b16o$4b20o$4b20o$bob22obo$ob24obo$28o$bo3b18o3bo$2bo3b16o3bo$6b16o$5b18o$6b16o$5b18o$3b22o$3b22o$ob24obo$28o$b26o$b26o$3o2b18o2b3o$2bo3b16o3bo$6b16o$5b18o$6b16o$5b18o$6b16o$5b18o$7b14o$8b12o$7b14o$7bob10obo$8b3ob4ob3o$13b2o$13b2o!

Same but different:
x = 17, y = 34, rule = B3678/S2356784b3o3b3o$4bobo3bobo$5bo5bo$4b3o3b3o$4bobo3bobo$5bo5bo$4b3o3b3o$4b3o3b3o$5bo5bo$4bo7bo$bob5ob5obo$2b4ob3ob4o$b6obob6o$b15o$3b11o$b15o$b15o$2b13o$b15o$2b13o$2b13o$b15o$2b13o$2b13o$17o$17o$2b13o$3b11o$2bob9obo$3bob7obo$4bob5obo$6b5o$5b7o$7bobo! -Josh Ball. velcrorex Posts: 339 Joined: November 1st, 2009, 1:33 pm ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL 2c/7 spaceship in B35a/S23. Period is 28. x = 9, y = 11, rule = B35a/S235b2o$7bo$4bo2bo$5b2o3$7bo$bo4b2o$obo4b2o$obo$bo! I don't know if this has been discovered before. EDIT: Corrected the pattern. EDIT 2: Actually corrected the pattern. Last edited by gameoflifeboy on December 26th, 2016, 1:13 pm, edited 1 time in total. gameoflifeboy Posts: 474 Joined: January 15th, 2015, 2:08 am ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Double-rake x = 4, y = 3, rule = B3/S23-ey4q3o$3o$3bo! This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.) Current rule interest: B2ce3-ir4a5y/S2-c3-y drc Posts: 1664 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL drc wrote: A for awesome wrote: x = 22, y = 22, rule = B3-kq4j_S237b2o$7b2o$10b2o$9bo$10bo3$6bo8b2o3b2o$4b2o9bobo2b2o$5b2o8bo3$6bo8b2o$2o2bobo9b2o$2o3b2o8bo3$11bo$12bo$10b2o$13b2o$13b2o!

Repeat time is 5:
x = 8, y = 8, rule = B3-kq4j_S232o4b2o$2o4b2o2$2bobo$2b2o$3bo$2o4b2o$2o4b2o!

Since the presence of P2-4, the rule is proven omniperiodic!
x = 42, y = 14, rule = B3-kq4j_S234bo4bo$3bobo2bobo21b2o4b2o$3bob4obo11b2o8b2o4b2o$b2o2bo2bo2b2o8b4o5b2o3b2o3b2o$o3bo4bo3bo16b2o2bo2bo2b2o$b3o6b3o6bobo2bobo6bo4bo$2bo8bo6b2o6b2o4bo6bo$2bo8bo6b2o6b2o4bo6bo$b3o6b3o6bobo2bobo6bo4bo$o3bo4bo3bo16b2o2bo2bo2b2o$b2o2bo2bo2b2o8b4o5b2o3b2o3b2o$3bob4obo11b2o8b2o4b2o$3bobo2bobo21b2o4b2o$4bo4bo! Still drifting. Bullet51 Posts: 532 Joined: July 21st, 2014, 4:35 am ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Bullet51 wrote: drc wrote: A for awesome wrote: x = 22, y = 22, rule = B3-kq4j_S237b2o$7b2o$10b2o$9bo$10bo3$6bo8b2o3b2o$4b2o9bobo2b2o$5b2o8bo3$6bo8b2o$2o2bobo9b2o$2o3b2o8bo3$11bo$12bo$10b2o$13b2o$13b2o!

Repeat time is 5:
x = 8, y = 8, rule = B3-kq4j_S232o4b2o$2o4b2o2$2bobo$2b2o$3bo$2o4b2o$2o4b2o!

Since the presence of P2-4, the rule is proven omniperiodic!

Unfortunately the statement "repeat time of the reflector is 5" is false, most likely due to a misunderstanding of the definition of repeat time. You can observe this by trying to make a p5 oscillator using the above patterns. The actual repeat time is 22, as shown in the original posting of the reflector. In Life, the closest possible spacing of gliders following each other is 14, but in this rule it is 13 due to the absence of B3k
x = 6, y = 6, rule = B3-kq4j_S23o$b2o$2o$4bo$5bo$3b3o! The repeat time of any conduit accepting a glider is necessarily equal to or greater than this spacing because it would be impossible to feed a second glider in sooner without one or both of them being destroyed. The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki. wildmyron Posts: 1227 Joined: August 9th, 2013, 12:45 am ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL H+G --> Pi x = 9, y = 15, rule = B2n3/S2-i34ijz7bo$6bo$6b3o10$b3o$2bo$3o!

Unfortunately useless one-time conversions:
x = 17, y = 23, rule = B37/S2-i34q9bo2b2ob2o$8bobo2bobo$o7bob2obobo$2o5b2o2bob2o$o8b2o$7b2o$7b2o7$9bo2b2ob2o$8bobo2bobo$8bob2obobo$7b2o2bob2o$9b2o$7b2o$7b2o$2b2o$bobo$3bo!
Last edited by Rhombic on September 4th, 2016, 5:03 am, edited 1 time in total.
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Rhombic

Posts: 1056
Joined: June 1st, 2013, 5:41 pm

A pretty clean breeder:
x = 23, y = 8, rule = B2ak/S34512bo7bobo$o2bo2bobo9b2ob2o$6bo3bo7bobo$b2o5bo2bo7b2o$10bobobo$11bob2o$10bobo$11b2o! LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1884 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Finally tamed the pulsar into a replicator: x = 3, y = 4, rule = B34k5y/S234n7ebo$3o2$bo! This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.) Current rule interest: B2ce3-ir4a5y/S2-c3-y drc Posts: 1664 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL lol x = 13, y = 11, rule = B3-ky8/S2-i3-y4qy9b2o$9b2o$7b2o2b2o$7b2o2b2o$9b2o$9b2o3$3o$2bo$bo! edit: it gets better x = 67, y = 13, rule = B3-ky8/S2-i3-y4qy11b2o34b2o$11b2o34b2o$9b2o16b2o16b2o16b2o$9b2o16b2o16b2o16b2o$7b2o2b2o12b2o2b2o12b2o2b2o12b2o2b2o$7b2o2b2o12b2o2b2o12b2o2b2o12b2o2b2o$9b2o16b2o16b2o16b2o$9b2o16b2o16b2o16b2o$11b2o16b2o$11b2o16b2o$3o15b3o15b3o15b3o$2bo17bo17bo17bo$bo17bo17bo17bo! Creator of multiple rules that may or may not be what you'd expect _zM Posts: 172 Joined: June 26th, 2016, 3:07 pm ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Weird spaceship x = 9, y = 7, rule = B2ce3aiy/S12aei3r4b2ob2o3$5bobo3\$obo!

ygh

Posts: 47
Joined: March 18th, 2016, 4:47 pm

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