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Thread For Your Useless Discoveries

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: Thread For Your Useless Discoveries

Postby danny » December 12th, 2018, 4:31 pm

maybe try something for e.g. two pis that create debris and survive? i.e.
x = 3, y = 23, rule = B3/S23
3o$2bo$3o18$3o$2bo$3o!
she/they // Please stop using my full name. Refer to me as dani.

"I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D.
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Re: Thread For Your Useless Discoveries

Postby cvojan » December 12th, 2018, 10:38 pm

Could this somehow be cleaned up?
x = 24, y = 23, rule = B3/S23
9b2o2bo$ob2o6b3o$2obo7bo2$9b2o$9b2o7$22b2o$22bo$20bobo$20b2o6$14b2o$
14b2o!

EDIT: Here's a more cleaner variant (minus the extra Herschel):
x = 28, y = 30, rule = LifeHistory
13.2A2.A$6.2A6.3A$5.A.A7.A$5.A$3.A.A7.2A$.3A.2A6.2A$A$.3A.2A$3.A.2A5$
13.D2.2D$14.3D$15.D3$26.2D$11.D14.2D$.D8.2D$.3D5.2D7.2E$.D.D6.D7.2E$
3.D7.D3$16.2C$17.C$14.3C$14.C!
Last edited by cvojan on December 13th, 2018, 9:42 pm, edited 1 time in total.
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Re: Thread For Your Useless Discoveries

Postby Freywa » December 13th, 2018, 2:01 am

Congratulations everyone on 2000 posts in this thread!
Princess of Science, Parcly Taxel
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Re: Thread For Your Useless Discoveries

Postby 2718281828 » December 17th, 2018, 8:02 am

Something interesting:
x = 31, y = 29, rule = B3/S23
ob6obo2b4o$o4b2obobo2bo$bobob2ob2obo$5obo5bobo$bobo2bob3o3b2o$2ob3ob2o
b4obo$5bobobo4b2o$bo3bo2b2ob2obo$4bobob2obob3o$ob2obobob2ob4o$3obo2b2o
bob4o$bo4b2o2b2ob3o$5ob5o2bobo$ob3obobo3b2obo$3obobobobobo$5ob2ob3obob
o10$25b3o$26bo2bo$30bo$27bobo!

maybe this could lead to a long lasting methuselah, such a late glider which killes the switch engine could extend the lifetime of a methuselah easily by a couple of thousand ticks.
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Re: Thread For Your Useless Discoveries

Postby hkoenig » December 17th, 2018, 12:22 pm

A suggestion:

When posting "something interesting", please include a short description of what makes it interesting. I look at that RLE and see nothing interesting, because I don't know what I'm supposed to be looking for.
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Re: Thread For Your Useless Discoveries

Postby 2718281828 » December 17th, 2018, 5:17 pm

hkoenig wrote:A suggestion:

When posting "something interesting", please include a short description of what makes it interesting. I look at that RLE and see nothing interesting, because I don't know what I'm supposed to be looking for.

I wanted to point out that this pattern:
x = 31, y = 29, rule = B3/S23
ob6obo2b4o$o4b2obobo2bo$bobob2ob2obo$5obo5bobo$bobo2bob3o3b2o$2ob3ob2o
b4obo$5bobobo4b2o$bo3bo2b2ob2obo$4bobob2obob3o$ob2obobob2ob4o$3obo2b2o
bob4o$bo4b2o2b2ob3o$5ob5o2bobo$ob3obobo3b2obo$3obobobobobo$5ob2ob3obob
o10$25b3o$26bo2bo$30bo$27bobo!

is an example of a pattern which gives a temporary glider producing switch engine that lives for quite a while until it gets destroyed by a glider. There might be some pattern that release at the beginning an infinite growth switch engine, which moves quite far away from the reaction centre, and after a couple of thousand (say 30k) ticks a glider is released from the reaction centre that kills the switch engine (and sends gliders back to the centre). As the glider requires some time to reach the switch engine and the kick-back glider again has to travel this distance this might extend the life time of a pattern substantially.
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Re: Thread For Your Useless Discoveries

Postby 77topaz » December 17th, 2018, 11:42 pm

Nick Gotts has created numerous long-lived patterns using a similar principle, of puffers which eventually get stopped because of a spaceship from their output catching up to them.
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Re: Thread For Your Useless Discoveries

Postby Entity Valkyrie » December 19th, 2018, 1:24 am

What is Cambrian Explosion?
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Re: Thread For Your Useless Discoveries

Postby dvgrn » December 19th, 2018, 10:11 am

Entity Valkyrie wrote:What is Cambrian Explosion?

Golly's Patterns/Life/Miscellaneous/Cambrian-Explosion.rle -- a should-have-been-better-labeled collection of spaceships and wickstretchers, and three gun-based oscillators, with lots of different shapes and sizes. The analogy is to the geological Cambrian explosion when a wide variety of impressively different body types appeared in the fossil record.
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Re: Thread For Your Useless Discoveries

Postby cvojan » December 20th, 2018, 6:29 pm

x = 7, y = 6, rule = B3/S23
b5o$o5bo$b5o$3bo$2o3b2o$2o3b2o!

A useless block-pushing reaction
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Re: Thread For Your Useless Discoveries

Postby Pete-omino » December 23rd, 2018, 3:18 pm

Hello. Newbie here, no expert on Life, just enjoy watching stuff evolve without really understanding it!

I was just playing around with the rule B367/S245, starting from random fills, and I noticed that this long-period oscillator crops up very frequently:
x = 6, y = 2, rule = B367/S245
o4bo$b4o!

Looks a bit like a queen bee (without stabilising blocks), period 168 if I've counted correctly. Is this known about, and if so does it have a name? Just interested.

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Re: Thread For Your Useless Discoveries

Postby cvojan » December 23rd, 2018, 4:11 pm

Pete-omino wrote:I was just playing around with the rule B367/S245, starting from random fills, and I noticed that this long-period oscillator crops up very frequently:
x = 6, y = 2, rule = B367/S245
o4bo$b4o!

Looks a bit like a queen bee (without stabilising blocks), period 168 if I've counted correctly. Is this known about, and if so does it have a name? Just interested.

Hello, Pete! Welcome to the forum!
You are correct on the oscillator's period, but I checked Catagolue and it has 1.4 million sample soups it has appeared in, and it goes by the name of xp168_6ff.

(By the way, do you have Golly? There is a script included with it called "oscar" that can find a spaceship's or oscillator's period, so you don't have to do it yourself)
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Re: Thread For Your Useless Discoveries

Postby Saka » December 24th, 2018, 6:56 am

Hi Pete, you might want to post that in the Other Cellular Automata subforum. The Patterns subforum is aimed towards B3/S23 (Life, Game of Life, CGoL, Conway's Game of Life)
If you're the person that uploaded to Sakagolue illegally, please PM me.
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
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Re: Thread For Your Useless Discoveries

Postby Pete-omino » December 24th, 2018, 1:40 pm

Thanks guys for the info. Yes I do have Golly (wish it had a different name though :? ) - but I certainly haven't learnt all its clever stuff yet! Also the simpler and less sophisticated Life32. I use them to play around with random patterns, hoping 'something will turn up'.

Anyway it wasn't too hard to home in on the period of this little creature...

I'm not likely to hit upon anything groundbreaking in Conway's default B3/S23, which hasn't been discussed already - it's been so thoroughly researched! I'll leave that to the experts. But if I do - and there's any chance it's original - I'll be back...
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Re: Thread For Your Useless Discoveries

Postby Entity Valkyrie » December 24th, 2018, 3:43 pm

cvojan wrote:There is a script included with it called "oscar" that can find a spaceship's or oscillator's period, so you don't have to do it yourself)


My version of oscar.lua:

-- Oscar is an OSCillation AnalyzeR for use with Golly.
--
-- This script uses Gabriel Nivasch's "keep minima" algorithm.
-- For each generation, calculate a hash value for the pattern.  Keep all of
-- the record-breaking minimal hashes in a list, with the oldest first.
-- For example, after 5 generations the saved hash values might be:
--
--   8 12 16 24 25,
--
-- If the next hash goes down to 13 then the list can be shortened:
--
--   8 12 13.
--
-- If the current hash matches one of the saved hashes, it is highly likely
-- the pattern is oscillating.  By keeping a corresponding list of generation
-- counts we can calculate the period.  We also keep lists of population
-- counts and bounding boxes to reduce the chance of spurious oscillator
-- detection due to hash collisions.  The bounding box info also allows us
-- to detect moving oscillators (spaceships/knightships).

local g = golly()
min = 2147483648

-- initialize lists
local hashlist = {}     -- for pattern hash values
local genlist = {}      -- corresponding generation counts
local poplist = {}      -- corresponding population counts
local boxlist = {}      -- corresponding bounding boxes
local t = {}            -- corresponding not removing list of pops
local population = tonumber(g.getpop())

-- check if outer-totalistic rule has B0 but not S8
local r = g.getrule()
r = string.match(r, "^(.+):") or r
local hasB0notS8 = r:find("B0") == 1 and r:find("/") > 1 and r:sub(-1,-1) ~= "8"
----------------------------------------------------------------------

local function show_spaceship_speed(period, deltax, deltay, smallestphase)
    -- we found a moving oscillator
    if deltax == deltay or deltax == 0 or deltay == 0 then
        local speed = ""
        local speed2 = ""
        if deltax == 0 or deltay == 0 then
            -- orthogonal spaceship
            speed2 = speed2..(deltax + deltay)
            if speed2 == "" then
                speed2 = 1
            end
        else
            -- diagonal spaceship (deltax == deltay)
            speed2 = deltax
            if speed2 == "" then
                speed2 = 1
            end
        end
        if deltax == deltay then
            if period == 1 then
                if smallestphase < 15 then
                    g.show("Diagonal spaceship detected (speed = (1, 1)/1, systematic name "..smallestphase.."P"..period.."H"..speed2.."V"..speed2..")")
                else
                    g.show("Diagonal spaceship detected (speed = (1, 1)/1, systematic name "..smallestphase.."P"..period.."H"..speed2.."V"..speed2..")")
                end
            else
                if smallestphase < 15 then
                    g.show("Diagonal spaceship detected (speed = ("..speed2..", "..speed2..")/"..period..", systematic name "..smallestphase.."P"..period.."H"..speed2.."V"..speed2..")")
                else
                    g.show("Diagonal spaceship detected (speed = ("..speed2..", "..speed2..")/"..period..", systematic name "..smallestphase.."P"..period.."H"..speed2.."V"..speed2..")")
                end
            end
        else
            if period == 1 then
                if smallestphase < 15 then
                    g.show("Orthogonal spaceship detected (speed = (1, 0)/1, systematic name "..smallestphase.."P"..period.."H"..speed2.."V0)")
                else
                    g.show("Orthogonal spaceship detected (speed = (1, 0)/1, systematic name "..smallestphase.."P"..period.."H"..speed2.."V0)")
                end
            else
                if smallestphase < 15 then
                    g.show("Orthogonal spaceship detected (speed = ("..speed2..", 0)/"..period..", systematic name "..smallestphase.."P"..period.."H"..speed2.."V0)")
                else
                    g.show("Orthogonal spaceship detected (speed = ("..speed2..", 0)/"..period..", systematic name "..smallestphase.."P"..period.."H"..speed2.."V0)")
                end
            end
        end
    else
        -- deltax != deltay and both > 0
        local speed = deltay..", "..deltax
        if deltay > deltax then
            speed2 = deltay
            speed3 = deltax
        else
            speed2 = deltax
            speed3 = deltay
        end
        if 1 == 1 then
            g.show("Knightship detected (speed = ("..speed..")/"..period..", systematic name "..smallestphase.."P"..period.."H"..speed2.."V"..speed3..")")
        end
    end
end
----------------------------------------------------------------------

local function oscillating()
    -- return true if the pattern is empty, stable or oscillating
   
    -- first get current pattern's bounding box
    local pbox = g.getrect()
    if #pbox == 0 then
        g.show("All cells are dead.")
        return true
    end
   
    local h = g.hash(pbox)
   
    -- determine where to insert h into hashlist
    local pos = 1
    local listlen = #hashlist
    while pos <= listlen do
        if h > hashlist[pos] then
            pos = pos + 1
        elseif h < hashlist[pos] then
            -- shorten lists and append info below
            for i = 1, listlen - pos + 1 do
                table.remove(hashlist)
                table.remove(genlist)
                table.remove(poplist)
                table.remove(boxlist)
            end
            break
        else
            -- h == hashlist[pos] so pattern is probably oscillating, but just in
            -- case this is a hash collision we also compare pop count and box size
            local rect = boxlist[pos]
            local population3
            if tonumber(g.getpop()) == poplist[pos] and pbox[3] == rect[3] and pbox[4] == rect[4] then
                local period = tonumber(g.getgen()) - genlist[pos]
                local population3 = tonumber(g.getpop())
                if hasB0notS8 and (period % 2) > 0 and
                   pbox[1] == rect[1] and pbox[2] == rect[2] and
                   pbox[3] == rect[3] and pbox[4] == rect[4] then
                    -- ignore this hash value because B0-and-not-S8 rules are
                    -- emulated by using different rules for odd and even gens,
                    -- so it's possible to have identical patterns at gen G and
                    -- gen G+p if p is odd
                    return false
                end
               
                if pbox[1] == rect[1] and pbox[2] == rect[2] and
                   pbox[3] == rect[3] and pbox[4] == rect[4] then
                    -- pattern hasn't moved
                    if period == 1 then
                        population2 = tonumber(g.getpop())
                        g.show("Still life detected (cells = "..population2..")")
                    else
                        g.show("Oscillator detected (period = "..period..", systematic name "..smallestphase.."P"..period..")")
                    end
                else
                    local deltax = math.abs(rect[1] - pbox[1])
                    local deltay = math.abs(rect[2] - pbox[2])
                    show_spaceship_speed(period, deltax, deltay, smallestphase)
                return true
                end
            else
                -- look at next matching hash value or insert if no more
                pos = pos + 1
            end
        end
    end
   
    -- store hash/gen/pop/box info at same position in various lists
    table.insert(hashlist, pos, h)
    table.insert(genlist, pos, tonumber(g.getgen()))
    table.insert(poplist, pos, tonumber(g.getpop()))
    table.insert(t, pos, tonumber(g.getpop()))
    table.insert(boxlist, pos, pbox)
    table.sort(t)
    smallestphase = t[1]
    return false
    end


----------------------------------------------------------------------

local function fit_if_not_visible()
    -- fit pattern in viewport if not empty and not completely visible
    local r = g.getrect()
    if #r > 0 and not g.visrect(r) then g.fit() end
end

----------------------------------------------------------------------

g.show("Checking for oscillation... (hit escape to abort)")

local oldsecs = os.clock()
while not oscillating() do
    g.run(1)
    local newsecs = os.clock()
    if newsecs - oldsecs >= 1.0 then   -- show pattern every second
        oldsecs = newsecs
        fit_if_not_visible()
        g.update()
    end
end

fit_if_not_visible()


Difference:


RLE:
x = 4, y = 4, rule = B3/S23
2b2o$3bo$3o$o!

PATTERN: Eater 1
ORIGINAL OSCAR OUTPUTS: The pattern is stable.
MY OSCAR OUTPUTS: Still life detected (cells = 7)


RLE:
x = 15, y = 20, rule = B3/S23
4bo$4obo$3obobo$5bobo$6bo$5b2o$5b2o3bo$5b2o2bobob2o$13b2o3$7bo2bo$7bo$
6bo4bo$5bobo2b2o$3b2obo3$3bo2bo$5b2o!
#C [[ THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ AUTOSTART ]]

PATTERN: P18 bi-block hassler
ORIGINAL OSCAR OUTPUTS: Oscillator detected (period = 18)
MY OSCAR OUTPUTS: Oscillator detected (period = 8, systematic name 43P18)


RLE:
x = 53, y = 127, rule = B3/S23
4b2o$4bo2bo$4bo3bo$6b3o$2b2o6b4o$2bob2o4b4o$bo4bo6b3o$2b4o4b2o3bo$o9b
2o$bo3bo$6b3o2b2o2bo$2b2o7bo4bo$13bob2o$10b2o6bo$11b2ob3obo$10b2o3bo2b
o$10bobo2b2o$10bo2bobobo$10b3o6bo$11bobobo3bo$14b2obobo$11bo6b3o2$11bo
9bo$11bo3bo6bo$12bo5b5o$12b3o$16b2o$13b3o2bo$11bob3obo$10bo3bo2bo$11bo
4b2ob3o$13b4obo4b2o$13bob4o4b2o$19bo$20bo2b2o$20b2o$21b5o$25b2o$19b3o
6bo$20bobo3bobo$19bo3bo3bo$19bo3b2o$18bo6bob3o$19b2o3bo3b2o$20b4o2bo2b
o$22b2o3bo$21bo$21b2obo$20bo$19b5o$19bo4bo$18b3ob3o$18bob5o$18bo$20bo$
16bo4b4o$20b4ob2o$17b3o4bo$24bobo$28bo$24bo2b2o$25b3o$22b2o$21b3o5bo$
24b2o2bobo$21bo2b3obobo$22b2obo2bo$24bobo2b2o$26b2o$22b3o4bo$22b3o4bo$
23b2o3b3o$24b2ob2o$25b2o$25bo2$24b2o3b3o$26bo2b2obo$28bo3b2o$29bo2b2o$
33bobo$30b2o2b2o$33b2o$33bobo$35b2o$33bob2o$33b3o3bo$32b2o4b2o$32b3o$
33bobo$34bobo3b3o$34bo6bob2o$38bo6bo$38bo3b2o$35b2o$39b3o$39b3o$39bo2$
39b3o$39b3o$39b3o$39b2o3bo$43b3o$43b2o2bo$44bo3bo$45bobo$44bo2bo2b3o$
43bo2b2o$42bo4b5o$42bo2bob3o$43bo$45bobo$46b2o$47bo$46b3o2$44b2o$47b3o
$43bo2bo$43bo2bo$43bo5bo$42b2ob2obobo$42b2ob2o3bo$43b2obo$44bob2obo!

PATTERN: Sir Robin with Minstrel 4 (A welded Minstrel 3 and 1)
ORIGINAL OSCAR OUTPUT: Knightship detected (speed = 2,1c/6)
MY OSCAR OUTPUTS: Knightship detected (speed = (2, 1)/6, systematic name 424P6H2V1)
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Re: Thread For Your Useless Discoveries

Postby cvojan » December 29th, 2018, 9:07 pm

Here's an almost boat-flipper:
x = 33, y = 22, rule = B3/S23
bo28bo$obo26bobo$2o27b2o2$30bo$30bo$bo28b3o$b2o22b2o$2o24bo$23b3o$5b2o
16bo$4bo2bo2b2o$4bobo4bo2bo$5bo5bobobo$8b2obo2bo$8bo2bo$5bo4bo$5b5o2$
7bo$6bobo$7bo!


Does anyone have other X - Loafs and other blinker-eating reactions?
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Re: Thread For Your Useless Discoveries

Postby wwei23 » December 30th, 2018, 1:03 pm

An eater can eat a blinker.
o$o$o$bboo$bbobo$bbbbo$bbbboo
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Re: Thread For Your Useless Discoveries

Postby cvojan » December 30th, 2018, 2:21 pm

Actually, I posted that reaction in my comment.

Here's a period-5 boat-flipper, but useless because it is pretty much inaccessible.
x = 25, y = 21, rule = LifeHistory
2A9.A$A2.3A4.A.A$.2A7.2A$6.A$6.A$.2A5.3D$A2.3A5.A$2A9.2A$10.2A2$15.2A
$14.A2.A2.2A$14.A.A4.A$15.A5.A.2A$18.2A.A.A$18.A2.A2.A$15.A4.A2.2A$
15.5A2$17.2A.A$17.A.2A!


I wonder if there is another domino sparker that can somehow make the input accessible
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Re: Thread For Your Useless Discoveries

Postby Freywa » December 31st, 2018, 11:42 am

One last useless pattern to push this thread to 2019 posts for 2019! A stable array of pre-blocks:
x = 39, y = 39, rule = B3/S23
4b2o$4bo5b2ob2o$6bobo2bobo5b2ob2o$5b2ob2o5bobo2bobo5b2ob2o$14b2ob2o5bo
bo2bobo5b2o$5b2ob2o13b2ob2o5bobo2bo$3bo2bobo5b2ob2o13b2ob2o$3b2o5bobo
2bobo5b2ob2o$9b2ob2o5bobo2bobo5b2ob2o$3b2o13b2ob2o5bobo2bobo$3bo5b2ob
2o13b2ob2o5bo$5bobo2bobo5b2ob2o13b2o$4b2ob2o5bobo2bobo5b2ob2o$13b2ob2o
5bobo2bobo5b2o$4b2ob2o13b2ob2o5bobo2bo$2bo2bobo5b2ob2o13b2ob2o$2b2o5bo
bo2bobo5b2ob2o$8b2ob2o5bobo2bobo5b2ob2o$2b2o13b2ob2o5bobo2bobo$2bo5b2o
b2o13b2ob2o5bo$4bobo2bobo5b2ob2o13b2o$3b2ob2o5bobo2bobo5b2ob2o$12b2ob
2o5bobo2bobo5b2o$3b2ob2o13b2ob2o5bobo2bo$bo2bobo5b2ob2o13b2ob2o$b2o5bo
bo2bobo5b2ob2o$7b2ob2o5bobo2bobo5b2ob2o$b2o13b2ob2o5bobo2bobo$bo5b2ob
2o13b2ob2o5bo$3bobo2bobo5b2ob2o13b2o$2b2ob2o5bobo2bobo5b2ob2o$11b2ob2o
5bobo2bobo5b2o$2b2ob2o13b2ob2o5bobo2bo$o2bobo5b2ob2o13b2ob2o$2o5bobo2b
obo5b2ob2o$6b2ob2o5bobo2bobo5b2ob2o$15b2ob2o5bobo2bobo$24b2ob2o5bo$33b
2o!
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Re: Thread For Your Useless Discoveries

Postby cvojan » December 31st, 2018, 11:50 am

not so fast






here's a double-billiard table stabilization from afind
x = 16, y = 64, rule = B3/S23
3$3b2o5b2o$4bo5bo$3bo7bo$3bobo3bobo$4bobobobo$6bobo$5bo3bo$5b5o$3b2o5b
2o$2bo2bobobo2bo$2b2obobobob2o$5bobobo$5b2ob2o$3b2o5b2o$4bob3obo$2bo2b
obobo2bo$2b2obo3bob2o$5bo3bo$5bobobo$3b2ob3ob2o$2bobo5bobo$2bo2b5o2bo$
3bobo3bobo$2b2o3bo3b2o$4b7o$2b2o7b2o$3bo2b3o2bo$3bobo3bobo$4bob3obo$2b
obo5bobo$2b2obobobob2o$5bo3bo$5bo3bo$2b2ob2ob2ob2o$2bobo2bo2bobo$5b5o
2$3b3obob3o$2bo3b3o3bo$2bobo5bobo$3bob5obo$5bo3bo$2bo2bobobo2bo$2b3obo
bob3o$6bobo$4b3ob3o$3bo3bo3bo$3bobo3bobo$2b2ob5ob2o$2bo9bo$4b2obob2o$
3b2ob3ob2o2$3b4ob4o$3bo2bobo2bo$6bobo$3bo3bo3bo$2bobo5bobo$3bo7bo!
'sup.
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Re: Thread For Your Useless Discoveries

Postby testitemqlstudop » December 31st, 2018, 11:59 am

17413-gen methuselah, septadekaminno (?), one polyplet

x = 6, y = 6, rule = B3/S23
5bo$5bo$3b3o$4obo$o2bo$b5o!
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--------------------------------------------------
ln(2) = 0.4^0.4 + (e-pi/10)*10^-6
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Re: Thread For Your Useless Discoveries

Postby A for awesome » December 31st, 2018, 12:18 pm

testitemqlstudop wrote:17413-gen methuselah, septadekaminno (?), one polyplet

x = 6, y = 6, rule = B3/S23
5bo$5bo$3b3o$4obo$o2bo$b5o!

10-cell form, 17409 gens:
x = 8, y = 7, rule = B3/S23
4bo$4bo$3bo$6b2o$5b2o$2o$bo!

Improbably, this is just 14 gens short of the 10-cell compact record (17423, Bunnies 10). A temporary scorpion forms at gen 4838.
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 Useless Discoveries

Postby 77topaz » January 2nd, 2019, 4:42 pm

A weird oblique (but not reburnable) fuse:
x = 69, y = 31, rule = B3/S23
67bo$66bo$66b3o6$50b2o2b2o$50bo4bo$51b4o2$53b4o$52bo4bo$52b2o2b2o2$25b
2o2b2o$25bo4bo$26b4o2$28b4o$27bo4bo$27b2o2b2o2$2o2b2o$o4bo$b4o2$3b4o$
2bo4bo$2b2o2b2o!
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Re: Thread For Your Useless Discoveries

Postby gmc_nxtman » January 4th, 2019, 6:44 pm

Weird way to make trice tongs with 13 gliders:

x = 183, y = 26, rule = B3/S23
36bo$35bo$35b3o$7bo9bo$bo6bo9b2o$2bo3b3o8b2o$3o4$19bo10bobo54bo$18bo
11b2o56bo5bo$18b3o10bo54b3o4bo$48b2o30b2o11b3o16b2o30b2o30b2o$48bo2b2o
27bo2b2o27bo2b2o27bo2b2o27bo2b2o$50b2obo28b2obo28b2obo28b2obo28b2obo$
49b3obo3b2o22b3obo3b2o22b3obo27b3obo10bo16b3obo$49bo3bobo2bo22bo3bobo
2bo22bo3b2o26bo3b2o9bobo14bo3b2o$19bo30b3obob2o24b3obob2o24b3o29b3o11b
2o16b3o$15bob2o33bobobo27bobobo27bo9bo21bo9bo21bo$13bobo2b2o33bo2bo28b
o2bo2bo34bo31bo$14b2o38b2o30b2o3bobo32bo31bo$91b2o$3b3o$5bo$4bo!
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Re: Thread For Your Useless Discoveries

Postby cvojan » January 6th, 2019, 4:03 pm

One-time B-to-G:
x = 18, y = 13, rule = LifeHistory
13.C2.2C$9.2A3.3C$9.2A4.C3$8.A$6.DC.A$2.2A2.2DA$.A.A$.A$2A5.A6.2A$6.A
.A5.2A$7.A!

Are there any catalysts that can turn the reaction back into a tub?

EDIT: Unrelated near miss, most likely known:
x = 6, y = 11, rule = LifeHistory
2A.A$.3A$2.A6$4.C$3.C.C$4.C!
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