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B026/S1

Posted: August 21st, 2017, 12:09 pm
B026/S1 is an explosive rule uncovered by Extrementhusiast and further explored by lots of other people. The two basic spaceships are two c/2 p4 diagonals:
`x = 13, y = 4, rule = B026/S18bo2\$3bo4bo3bo\$obo8bo!`

As well as a p8 variant:
`x = 8, y = 8, rule = B026/S17bo\$6bo2\$6bo2\$bobo\$o\$6bo!`

There's also a replicator that travels at the same speed, but period 16:
`x = 2, y = 2, rule = B026/S1bo\$o!`

Replicators can be combined to achieve lower periods:
`x = 28, y = 29, rule = B026/S1o\$bo2\$3bo\$4bo7\$11bo\$12bo3\$15bo\$16bo7\$23bo\$24bo3\$26bo\$27bo!`

p16 double rake along with a reflection reaction:
`x = 5, y = 39, rule = B026/S13bo\$obo31\$bo5\$4bo\$3bo!`

`x = 7, y = 5, rule = B026/S16bo\$bo3bo\$o\$3bo\$obo!`

A puffer:
`x = 7, y = 12, rule = B026/S1o4\$b2o2\$6bo\$3bobo\$bo2\$bo\$o!`

There's also this arbitrarily large period spaceship:
`x = 48, y = 36, rule = B026/S115bo\$14bo2\$12bo\$11bo7\$4bo\$3bo2\$bo\$o12\$20bo\$19bo2\$19bo2\$47bo\$46bo2\$46bo!`

5-cell breeder:
`x = 9, y = 5, rule = B026/S18bo\$7bo2\$3bo\$obo!`

p2 and p16:
`x = 36, y = 3, rule = B026/S1o6bo5bo5b3o7bo2bo2bo\$5bo6b3o4b3o\$13bo5b3o!`

Rake-type thing:
`x = 17, y = 14, rule = B026/S1o8\$12bo\$11bo\$14bo\$13bo\$16bo\$15bo!`

Extrementhusiast found a gun:
`x = 29, y = 13, rule = B026/S1bo\$2bo25bo\$27bo8\$bo\$o25bo\$27bo!`

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There has also been interest in 1-cell thick soups, which do not explode. They cannot explode because they are bound to move only on one axis, and do not move much on that axis. However, this movement can support spaceships! Two have occurred naturally, 2c/10 and 2c/24:
`x = 35, y = 6, rule = B026/S1obo2b5o3b7o5\$7o2bobo2b3o2bo2bo3b3o2bo2bo!`

Unnaturally, there are 2c/8, 2c/12, 2c/14, and 2c/16 spaceships:
`x = 614, y = 16, rule = B026/S1o3b3o3bo2bobo2bo3bo2b11o2bo2b3o4b2o5\$o3b3o3bo2bo2bo2bo2b3o3b7o2bobo2b3o2bo2bo2bo2bo4b7o3bo3bo3b5o2bobo2bo3b5o2bobobobo2b5o3b6o3b5o3bo2bobobobo2bo3b6o2bobo2bo4bo2bobobo2bo2bobobobo2bo3bo2bobobo2b3o2bobobo2b3o3b3o3b3o2bo2bo3bo3b3o3bo3bo3b3o2bobobo2bo2bobobo2bo3bo3b3o3b3o3bo2bo2bo3bo2bo2bo2bo2bo2b10o3b3o2bobo2b2o2bobobo2b3o2bo2bo3b3o3bo3bo2bobo2b11o3b5o2bo2b15o2bo2b7o3b5o2bobobobobobobo2bo2bo3b3o3b5o2bobo2bo2bobobo2b5o3b3o2bobo2bo2bo2b6o2bo2bo2bo2bo3b3o2bobobo2b6o3b7o3b7o2bobobobo2b3o3bo2bobobo2b2o5\$o3b3o3bo2bo2bo3b7o3b5o2bobo2bo3bo2bo2bo3b2o2bobobo2b3o2bo2b3o3bo2bo2bo2bo3bo2bobo2bo3b3o3b2o3bo3b7o3b3o2bo2b9o2bobo2bo3bo3b5o3bo2bobobo2bo2bobo2bo2bo2b3o3b3o3b3o2bobo2b11o2bo2bo2bo2b3o2bo2b3o2bo2bo3b3o2bobo2b3o3b5o2bobobobobobobobo2b5o3b5o2bo2bo2bo2b3o2bobo2bo3b3o3b3o3b5o3b5o2bo2b7o3bo2bo2bo2bo2b3o3b5o2bo2b11o3b3o2bo2b5o3bo5\$2o3b3o2bobobobo2bo2bo2bo3b7o3b7o2bo2b7o3bo3bo2bo!`

There's also a tagalong for the 2c/10:
`x = 16, y = 23, rule = B026/S111bo3bo4\$o12bo\$o12bo\$o12bo3\$o12bo3\$o12bo4\$o12bo3\$o12bo3\$o12bo!`

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All of this and more can be found here, I reiterated some of the discoveries but please do consider reading through.

Re: B026/S1

Posted: August 21st, 2017, 12:35 pm
2c/6, found with gfind:
`x = 14, y = 72, rule = B026/S1\$2bo3bobo3bo\$5bo3bo\$2bobo5bobo\$5b5o\$3b3o3b3o\$6bobo\$2b2obo3bob2o\$2b3o5b3o\$3b2o5b2o\$3b2o5b2o\$2b2obo3bob2o\$2b4o3b4o\$2b4o3b4o\$2b3o5b3o\$2b3o5b3o\$2b4o3b4o\$3b2o5b2o\$3b3o3b3o\$2b3o5b3o\$2b3o5b3o\$2b4o3b4o\$2b11o\$3b3o3b3o\$3b9o\$3b3o3b3o\$3b9o\$3b3o3b3o\$3b9o\$2b4o3b4o\$2b11o\$2b4o3b4o\$2b4o3b4o\$2b4o3b4o\$2b4o3b4o\$2b4o3b4o\$2b11o\$2b4o3b4o\$2b11o\$3b2obobob2o\$3b3o3b3o\$3b3o3b3o\$3b2o5b2o\$2b4o3b4o\$2b4o3b4o\$2b11o\$2b4o3b4o\$3b3o3b3o\$3b3o3b3o\$2b11o\$2b4o3b4o\$3b9o\$3b3o3b3o\$3b9o\$3b3o3b3o\$2b4o3b4o\$2b4o3b4o\$3b9o\$3b3o3b3o\$3b9o\$3b3o3b3o\$3b3o3b3o\$3b3o3b3o\$3b3o3b3o\$3bobo3bobo\$bo3bo3bo3bo\$bo3bo3bo3bo2\$bobo7bobo2\$6bobo!`

Re: B026/S1

Posted: August 21st, 2017, 1:44 pm
Single-replicator version of Extrementhusiast's p32 gun:
`x = 24, y = 24, rule = B026/S122bo\$21b3o\$22bo3\$9bo5bo3\$18bo2\$12bo\$13bo8\$o4\$4bo!`

Re: B026/S1

Posted: August 30th, 2017, 7:31 pm
Infinitely extensible one-dimensional 2c/10 tagalong:
`x = 69, y = 15, rule = B026/S13o2bo2bo3bo2bo2bo3bo3bo3b3o3bo2bo2b5o2bobo2b5o3b7o7\$26bo3b3o3bo2bo2b5o2bobo2b5o3b7o7\$49bobo2b5o3b7o!`

I'm still surprised that the 2c/10, 2c/24 and tagalong 2c/10 are the only natural spaceships so far found in 1x256 - one would think some from the 2c/8, 2c/16 and 2c/18 would have turned up by now, since they're not that long or complex.

Re: B026/S1

Posted: August 31st, 2017, 2:24 am
A new natural 4c/20:
`x = 43, y = 1, rule = B026/S1o3bo3b3o2bo2b5o2bobo2b5o3bo2bo2bo!`

Only just slightly smaller than the currently undiscovered 2c/8 as well, so here's hoping that comes up soon.

Re: B026/S1

Posted: August 31st, 2017, 3:16 pm
Signal through dots:
`x = 857, y = 75, rule = B026/S1108bo2\$104bo7bo2\$100bo15bo2\$96bo23bo199bo2\$92bo31bo191bo7bo2\$88bo39bo183bo15bo2\$84bo47bo175bo23bo199bo2\$80bo55bo167bo31bo191bo7bo2\$76bo63bo159bo39bo183bo15bo2\$72bo71bo151bo47bo175bo23bo199bo2\$68bo79bo143bo55bo167bo31bo191bo7bo2\$64bo87bo135bo63bo159bo39bo183bo15bo2\$60bo95bo127bo71bo151bo47bo175bo23bo2\$56bo103bo119bo79bo143bo55bo167bo31bo2\$52bo111bo111bo87bo135bo63bo159bo39bo2\$48bo119bo103bo95bo127bo71bo151bo47bo2\$44bo127bo95bo103bo119bo79bo143bo55bo2\$40bo135bo87bo111bo111bo87bo135bo63bo2\$36bo143bo79bo119bo103bo95bo127bo71bo2\$32bo151bo71bo127bo95bo103bo119bo79bo2\$28bo159bo63bo135bo87bo111bo111bo87bo2\$24bo167bo55bo143bo79bo119bo103bo95bo2\$20bo175bo47bo151bo71bo127bo95bo103bo2\$16bo183bo39bo159bo63bo135bo87bo111bo2\$12bo191bo31bo167bo55bo143bo79bo119bo2\$8bo199bo23bo175bo47bo151bo71bo127bo2\$5bo206bo15bo183bo39bo159bo63bo135bo2\$o215bo7bo191bo31bo167bo55bo143bo2\$220bo199bo23bo175bo47bo151bo2\$424bo15bo183bo39bo159bo2\$428bo7bo191bo31bo167bo2\$432bo199bo23bo175bo2\$636bo15bo183bo2\$640bo7bo191bo2\$644bo199bo2\$848bo2\$852bo2\$856bo!`

Can't seem to find a clean 90 degree turn reaction.

Re: B026/S1

Posted: September 2nd, 2017, 6:25 am
Pathological object:
`x = 256, y = 1, rule = B026/S1oobbooooooobbbobboboobooooooboboboobbbobooooooobobbobbbboobbobboobbooobbboobbooobbboobobobbboboboooooobbobboooboooooobboobobbboooobobobooboooobboboobbobobbooooobobbobobobbboobooooobbobboobbobbbbobooobobobobobobobobbobobbbboboooobbooobobooobbboooooboooobobo!`

Re: B026/S1

Posted: September 14th, 2017, 3:21 am
Yet another new natural xq10:
`x = 256, y = 1, rule = B026/S1ooooooobbboobbbbobbbbbbboobbbobbbboooooooobobobbbobbbooboobbboooboobboboooooobbbbbbbooobobooboobobbobbooooobbobooobobooboobooobbbbobboobbobbbbobbooooooobbboobobbbbooooobobobooooboooobbobbbbboooobbboboboooobobbbobbbooboooooboboobbbbbbboobbobobboooobbobobooo!`

Re: B026/S1

Posted: September 15th, 2017, 6:06 pm
Mixed rake:
`x = 7, y = 12, rule = B026/S15bo3\$4bo3\$5bo\$o\$bo3bo\$6bo\$3bo\$4bobo!`

Re: B026/S1

Posted: September 25th, 2017, 2:54 pm
Yet another natural 2c/10:
`x = 256, y = 1, rule = B026/S1boboobbobobobooobbooobobbobbobobobobobboobooobobobbooooobbbobboboobooboooobbooboobbbobbbooboobooboobobbobobbbooobboobooobobboooboobbbbooooboobbobboooooooobbobbobbbobooboboboobobboboooooooobobbobooboobooobbooooooooboobbobbooboobooobooboobobboobooboobbobobbo!`

Come on - we need more people giving this rule their all on apgsearch!

Re: B026/S1

Posted: September 25th, 2017, 4:21 pm
muzik wrote:Come on - we need more people giving this rule their all on apgsearch!

It's a very explosive rule.

Re: B026/S1

Posted: September 25th, 2017, 5:53 pm
Gamedziner wrote:
muzik wrote:Come on - we need more people giving this rule their all on apgsearch!

It's a very explosive rule.

Hence why I search it on 1x256.

Re: B026/S1

Posted: January 8th, 2018, 1:15 pm
3-cell puffer:

`x = 3, y = 7, rule = B026/S1bo\$2bo5\$o!`

Re: B026/S1

Posted: January 8th, 2018, 11:40 pm
muzik wrote:
Gamedziner wrote:
muzik wrote:Come on - we need more people giving this rule their all on apgsearch!

It's a very explosive rule.

Hence why I search it on 1x256.

Wait, you can search bounded grids?

Re: B026/S1

Posted: January 9th, 2018, 1:08 am
No, it's just that one can apgsearch 1D soups (since this rule in 1D emulates a 1D next-nearest-neighbors rule which is not explosive)

Re: B026/S1

Posted: January 12th, 2018, 10:54 am
Another breeder:

`x = 39, y = 39, rule = B026/S1bo\$o25\$37bo\$36bo2\$36bo4\$38bo3\$27bobo\$26bo\$33bo!`

Re: B026/S1

Posted: January 12th, 2018, 3:10 pm
Am i the only one who can't apgsearch this on the latest apgsearch?

Re: B026/S1

Posted: January 15th, 2018, 11:50 am
Tagalong gun:

`x = 67, y = 28, rule = B026/S121bo3\$24bo28bo\$46bo3\$43bo\$15bo\$16bo4\$o5\$58bo\$57bo\$bo3\$4bo\$66bo3\$63bo!`

Re: B026/S1

Posted: January 26th, 2018, 7:38 pm
A p16 dot puffer, made by the interactions of two p16 rakes and a p4 spaceship:

`x = 26, y = 41, rule = B026/S13bobo\$6bo14bobo\$24bo\$19bo\$24bo\$17bo\$8bobo11bo\$7bo9bo2\$19bo\$18bo8\$22bobo\$25bo\$20bo\$25bo2\$13bo3bo5bo\$18bo2\$14bobo3bo\$19bo\$12bo5bo2\$10bo\$15bo\$10bo\$11bobo4\$5bo3\$o!`

EDIT: A symmetrical, more complex variant, consisting of four interacting rakes:
`x = 35, y = 35, rule = B026/S111bobo\$14bo8bobo\$11bo14bo\$12bobo8bo\$24bobo2\$14bobo\$13bo\$2bo19bo7bobo\$33bo\$30bo\$31bobo\$8bo17bo\$4bo5\$28bo2\$o27bo2bobo\$27bo6bo\$31bo\$32bobo3\$22bo4\$21bo2\$26bo2\$14bo!`

Re: B026/S1

Posted: January 27th, 2018, 2:56 am
A 90-degree reflector:

`x = 53, y = 57, rule = B026/S131bo3\$28bo5\$37bo\$36bo\$21bo\$28bo2\$46bo5bo\$31bo15bo\$22bobo\$21bo25bo2\$27bo13bo\$42bobo\$27bo23bo\$26bo2\$48bo2\$16bo\$17bo5\$8bo3\$11bo21\$obo\$3bo!`

A glider duplicator:

`x = 71, y = 42, rule = B026/S13bo63bo3\$o69bo5\$9bo51bo\$8bo53bo4\$18bo33bo\$19bo31bo2\$19bo31bo2\$13bo43bo\$14bobo37bobo\$23bo23bo3\$20bo29bo\$13bo43bo16\$11bobo\$14bo!`

A puffer:

`x = 19, y = 18, rule = B026/S14bo11bobo\$3bo11bo5\$6bo4\$bobo\$o\$4b2o\$o2\$2bo2\$12bo!`

Re: B026/S1

Posted: February 3rd, 2018, 3:21 am
Sierpinski triangle:

`x = 37, y = 18, rule = B026/S1bo11bobo\$o11bo2\$6bo2\$22bo11bobo\$21bo11bo2\$27bo6\$3bo\$2bo2\$2bo!`

Re: B026/S1

Posted: March 1st, 2018, 6:49 am
A p4 rake:

`x = 7, y = 9, rule = B026/S14bo\$3bo3\$4bobo3\$bo\$o!`

A very simple c/4 spaceship:

`x = 6, y = 7, rule = B026/S1o2\$3bo2\$5bo2\$2bo!`