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Thread for Your Accidental Discoveries that Aren't in CGOL

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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby A for awesome » May 21st, 2016, 6:02 pm

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/S234q
o$2o$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

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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby drc » May 21st, 2016, 11:03 pm

B3-j678/S34678 is, well... interesting:

x = 16, y = 16, rule = B3-j678_S34678
3bobobo3b3obo$5b2o2bo$2ob3o2bob2o3bo$2o2bobob5o2bo$bob2o4b2o2b3o$7bob
2o3b2o$8b2ob2o$b3obobo4bob2o$4b3obobobobo$2o2b2o2bo3b4o$4bo2bo3bo2bo$o
b2ob3obobo$4ob11o$2b2ob3o3bobo$o5bobo2b2o$b2o3b3obobo2bo!
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby gameoflifeboy » June 5th, 2016, 4:18 pm

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/S4578
68bo2bo2$69b2o128$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$o30b88o$bo
29b88o$bo29b88o$o30b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o!


I think the smallest possible gun is this:
x = 10, y = 4, rule = B25678/S4578
4o2b4o$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/S4578
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$49o$3ob2ob
42o$49o$4o2b43o$49o$49o$49o$49o$49o$49o$49o$2ob46o$4ob44o$4ob44o$2ob
46o$49o$49o$49o!


There is also a double wickstretcher:
x = 4, y = 2, rule = B25678/S4578
4o$4o!
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby Sokwe » June 5th, 2016, 5:13 pm

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.
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby gameoflifeboy » June 5th, 2016, 9:12 pm

I found an eater for the wick so we can make extensible spaceships too:
x = 39, y = 46, rule = B25678/S4578
12bo$9bo4bo$6bo4b3obo$8b3ob3obo$o3bob2ob2ob3obo$2bob3obobo4bo$2b2o3bo
2bobo$o2bobo4bobo$3bob4obo4bo$3bobob4ob3obo$3bobob4ob3obo$3bob4obo4bo$
o2bobo4bobo$2b2o3bo2bobo$2bob3obobo4bo$o3bob2ob2ob3obo$8b3ob3obo$6bo4b
3obo$9bo4bo$12bo7$12bo$9bo4bo$6bo4b3obo$8b3ob3obo$o3bob2ob2ob3obo$2bob
3obobo4bo$2b2o3bo2bobo$o2bobo4bobo$3bob4obo26bo$3bobob4ob25obo$3bobob
4ob25obo$3bob4obo26bo$o2bobo4bobo$2b2o3bo2bobo$2bob3obobo4bo$o3bob2ob
2ob3obo$8b3ob3obo$6bo4b3obo$9bo4bo$12bo!


EDIT: A smaller one:
x = 34, y = 16, rule = B25678/S4578
6bo$3bo4bo$o4b3obo$2b3ob2obo$2bob3obo$o6bo$4bo27bo$6b26obo$6b26obo$4bo
27bo$o6bo$2bob3obo$2b3ob2obo$o4b3obo$3bo4bo$6bo!


EDIT 2: An even smaller one:
x = 31, y = 12, rule = B25678/S4578
3bo$4bo$4bo$3bo$o28bo$2b27obo$2b27obo$o28bo$3bo$4bo$4bo$3bo!
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby gameoflifeboy » June 5th, 2016, 9:49 pm

Here's an actual wickstretcher, but by now I'm pretty sure this isn't the smallest ending:

x = 11, y = 6, rule = B25678/S4578
4bo3bo$bo4bobobo$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.
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby Gamedziner » June 6th, 2016, 9:20 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/S4578
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$49o$3ob2ob
42o$49o$4o2b43o$49o$49o$49o$49o$49o$49o$49o$2ob46o$4ob44o$4ob44o$2ob
46o$49o$49o$49o!


In the special case of a square, they never collide:
x = 50, y = 50, rule = B25678/S4578

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$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 = LifeHistory
58.2A$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!
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby wildmyron » June 7th, 2016, 12:36 am

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.
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby gameoflifeboy » June 7th, 2016, 1:32 am

Using a torus with shift 11, one can create a pseudorandom number generator:

x = 98, y = 100, rule = B25678/S4578:T1000+11,200
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$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.
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby ygh » June 16th, 2016, 12:52 pm

Weird p44 oscillator in interesting (and stable!) rule:
x = 0, y = 0, rule = B3acei4e678_S23678
5b2o$6bo8$3o$bo8$2bo$b2o!


Natural 23-bit still life:
x = 0, y = 0, rule = B3acei4e678_S23678
o2bob7o2b4o$2b3o4bo9bo$4bo2b2ob3ob5o$4bobob3o3bobob2o$bo2bob3o2b4ob2o$
obob4obobob2o2bo$4bo2bobo3bob3obo$3o3bob4obo2b2o$5ob3o2bob2ob2obo$4bo
3bobob2o3b2o$3bo2b2obob2obob3o$4obo3b8o$2bobobo2b2obobob3o$2o2bo3b3o4b
ob3o$o4bo3bob4ob2obo$bo2bo2bo2bob3o2bo$2b2obob2o2bob2o$3ob7obob5o$o6b
2ob4obobo$3ob2o3bo4bo4bo!


F-pentomino in this rule is a failed replicator:
x = 0, y = 0, rule = B3_S2-i3-a4cake
b2o$2o$bo!
Last edited by ygh on July 17th, 2016, 3:07 pm, edited 1 time in total.
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby drc » June 19th, 2016, 4:42 am

Probably known, but a cool HL reaction:

x = 19, y = 19, rule = B36/S23
3bo$3bo$3bo$3o3$8bo$7b2o$6b2o7$18bo$18bo$18bo$15b3o!
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby gameoflifeboy » June 29th, 2016, 12:48 am

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 = 238/34/3
28.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 = 238/34/3
BA.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$3.B2.2B.A4.2A$.2BA2BA
2.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!
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby drc » June 29th, 2016, 11:03 am

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?
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby gameoflifeboy » June 29th, 2016, 2:15 pm

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 g

def 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 = 1
for period in periodlist:
   totalperiod = lcm(period, totalperiod)

longest = [], 0
for 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])
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby drc » June 30th, 2016, 1:28 am

Wow

x = 4, y = 3, rule = 23/345/3
.A$3A$A.2A!
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby velcrorex » July 30th, 2016, 9:07 pm

Front bit moves at 3c/7.
x = 28, y = 46, rule = B3678/S235678
11bo4bo$10b3o2b3o$10b3o2b3o$11bo4bo$11bo4bo$10bobo2bobo$10bobo2bobo$9b
obob2obobo$9b4o2b4o$8bob8obo$9b10o$6bob12obo$5bob14obo$6b16o$4b20o$4b
20o$bob22obo$ob24obo$28o$bo3b18o3bo$2bo3b16o3bo$6b16o$5b18o$6b16o$5b
18o$3b22o$3b22o$ob24obo$28o$b26o$b26o$3o2b18o2b3o$2bo3b16o3bo$6b16o$5b
18o$6b16o$5b18o$6b16o$5b18o$7b14o$8b12o$7b14o$7bob10obo$8b3ob4ob3o$13b
2o$13b2o!


Same but different:
x = 17, y = 34, rule = B3678/S235678
4b3o3b3o$4bobo3bobo$5bo5bo$4b3o3b3o$4bobo3bobo$5bo5bo$4b3o3b3o$4b3o3b
3o$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.
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby gameoflifeboy » August 6th, 2016, 1:35 am

2c/7 spaceship in B35a/S23. Period is 28.

x = 9, y = 11, rule = B35a/S23
5b2o$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.
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby drc » August 7th, 2016, 4:46 am

Double-rake
x = 4, y = 3, rule = B3/S23-ey4q
3o$3o$3bo!
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby Bullet51 » August 10th, 2016, 3:05 am

drc wrote:
A for awesome wrote:
x = 22, y = 22, rule = B3-kq4j_S23
7b2o$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_S23
2o4b2o$2o4b2o2$2bobo$2b2o$3bo$2o4b2o$2o4b2o!


Since the presence of P2-4, the rule is proven omniperiodic!
x = 42, y = 14, rule = B3-kq4j_S23
4bo4bo$3bobo2bobo21b2o4b2o$3bob4obo11b2o8b2o4b2o$b2o2bo2bo2b2o8b4o5b2o
3b2o3b2o$o3bo4bo3bo16b2o2bo2bo2b2o$b3o6b3o6bobo2bobo6bo4bo$2bo8bo6b2o
6b2o4bo6bo$2bo8bo6b2o6b2o4bo6bo$b3o6b3o6bobo2bobo6bo4bo$o3bo4bo3bo16b
2o2bo2bo2b2o$b2o2bo2bo2b2o8b4o5b2o3b2o3b2o$3bob4obo11b2o8b2o4b2o$3bobo
2bobo21b2o4b2o$4bo4bo!
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby wildmyron » August 10th, 2016, 4:04 am

Bullet51 wrote:
drc wrote:
A for awesome wrote:
x = 22, y = 22, rule = B3-kq4j_S23
7b2o$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_S23
2o4b2o$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_S23
o$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.
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby Rhombic » August 10th, 2016, 10:25 am

H+G --> Pi
x = 9, y = 15, rule = B2n3/S2-i34ijz
7bo$6bo$6b3o10$b3o$2bo$3o!



Unfortunately useless one-time conversions:
x = 17, y = 23, rule = B37/S2-i34q
9bo2b2ob2o$8bobo2bobo$o7bob2obobo$2o5b2o2bob2o$o8b2o$7b2o$7b2o7$9bo2b
2ob2o$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.
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby BlinkerSpawn » August 10th, 2016, 10:08 pm

A pretty clean breeder:
x = 23, y = 8, rule = B2ak/S345
12bo7bobo$o2bo2bobo9b2ob2o$6bo3bo7bobo$b2o5bo2bo7b2o$10bobobo$11bob2o$
10bobo$11b2o!
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby drc » August 11th, 2016, 10:09 am

Finally tamed the pulsar into a replicator:
x = 3, y = 4, rule = B34k5y/S234n7e
bo$3o2$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
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby _zM » August 31st, 2016, 4:12 pm

lol
x = 13, y = 11, rule = B3-ky8/S2-i3-y4qy
9b2o$9b2o$7b2o2b2o$7b2o2b2o$9b2o$9b2o3$3o$2bo$bo!

edit: it gets better
x = 67, y = 13, rule = B3-ky8/S2-i3-y4qy
11b2o34b2o$11b2o34b2o$9b2o16b2o16b2o16b2o$9b2o16b2o16b2o16b2o$7b2o2b2o
12b2o2b2o12b2o2b2o12b2o2b2o$7b2o2b2o12b2o2b2o12b2o2b2o12b2o2b2o$9b2o
16b2o16b2o16b2o$9b2o16b2o16b2o16b2o$11b2o16b2o$11b2o16b2o$3o15b3o15b3o
15b3o$2bo17bo17bo17bo$bo17bo17bo17bo!
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby ygh » September 3rd, 2016, 5:37 pm

Weird spaceship
x = 9, y = 7, rule = B2ce3aiy/S12aei3r
4b2ob2o3$5bobo3$obo!
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