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B026/S1

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B026/S1

Postby drc » 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/S1
8bo2$3bo4bo3bo$obo8bo!

As well as a p8 variant:
x = 8, y = 8, rule = B026/S1
7bo$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/S1
bo$o!

Replicators can be combined to achieve lower periods:
x = 28, y = 29, rule = B026/S1
o$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/S1
3bo$obo31$bo5$4bo$3bo!

p68 quad rake:
x = 7, y = 5, rule = B026/S1
6bo$bo3bo$o$3bo$obo!

A puffer:
x = 7, y = 12, rule = B026/S1
o4$b2o2$6bo$3bobo$bo2$bo$o!

There's also this arbitrarily large period spaceship:
x = 48, y = 36, rule = B026/S1
15bo$14bo2$12bo$11bo7$4bo$3bo2$bo$o12$20bo$19bo2$19bo2$47bo$46bo2$46bo
!

5-cell breeder:
x = 9, y = 5, rule = B026/S1
8bo$7bo2$3bo$obo!

p2 and p16:
x = 36, y = 3, rule = B026/S1
o6bo5bo5b3o7bo2bo2bo$5bo6b3o4b3o$13bo5b3o!

Rake-type thing:
x = 17, y = 14, rule = B026/S1
o8$12bo$11bo$14bo$13bo$16bo$15bo!

Extrementhusiast found a gun:
x = 29, y = 13, rule = B026/S1
bo$2bo25bo$27bo8$bo$o25bo$27bo!

-
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/S1
obo2b5o3b7o5$7o2bobo2b3o2bo2bo3b3o2bo2bo!

Unnaturally, there are 2c/8, 2c/12, 2c/14, and 2c/16 spaceships:
x = 614, y = 16, rule = B026/S1
o3b3o3bo2bobo2bo3bo2b11o2bo2b3o4b2o5$o3b3o3bo2bo2bo2bo2b3o3b7o2bobo2b
3o2bo2bo2bo2bo4b7o3bo3bo3b5o2bobo2bo3b5o2bobobobo2b5o3b6o3b5o3bo2bobob
obo2bo3b6o2bobo2bo4bo2bobobo2bo2bobobobo2bo3bo2bobobo2b3o2bobobo2b3o3b
3o3b3o2bo2bo3bo3b3o3bo3bo3b3o2bobobo2bo2bobobo2bo3bo3b3o3b3o3bo2bo2bo
3bo2bo2bo2bo2bo2b10o3b3o2bobo2b2o2bobobo2b3o2bo2bo3b3o3bo3bo2bobo2b11o
3b5o2bo2b15o2bo2b7o3b5o2bobobobobobobo2bo2bo3b3o3b5o2bobo2bo2bobobo2b
5o3b3o2bobo2bo2bo2b6o2bo2bo2bo2bo3b3o2bobobo2b6o3b7o3b7o2bobobobo2b3o
3bo2bobobo2b2o5$o3b3o3bo2bo2bo3b7o3b5o2bobo2bo3bo2bo2bo3b2o2bobobo2b3o
2bo2b3o3bo2bo2bo2bo3bo2bobo2bo3b3o3b2o3bo3b7o3b3o2bo2b9o2bobo2bo3bo3b
5o3bo2bobobo2bo2bobo2bo2bo2b3o3b3o3b3o2bobo2b11o2bo2bo2bo2b3o2bo2b3o2b
o2bo3b3o2bobo2b3o3b5o2bobobobobobobobo2b5o3b5o2bo2bo2bo2b3o2bobo2bo3b
3o3b3o3b5o3b5o2bo2b7o3bo2bo2bo2bo2b3o3b5o2bo2b11o3b3o2bo2b5o3bo5$2o3b
3o2bobobobo2bo2bo2bo3b7o3b7o2bo2b7o3bo3bo2bo!

There's also a tagalong for the 2c/10:
x = 16, y = 23, rule = B026/S1
11bo3bo4$o12bo$o12bo$o12bo3$o12bo3$o12bo4$o12bo3$o12bo3$o12bo!

-
All of this and more can be found here, I reiterated some of the discoveries but please do consider reading through.
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: B026/S1

Postby AforAmpere » 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$2b3o5b
3o$3b2o5b2o$3b2o5b2o$2b2obo3bob2o$2b4o3b4o$2b4o3b4o$2b3o5b3o$2b3o5b3o$
2b4o3b4o$3b2o5b2o$3b3o3b3o$2b3o5b3o$2b3o5b3o$2b4o3b4o$2b11o$3b3o3b3o$
3b9o$3b3o3b3o$3b9o$3b3o3b3o$3b9o$2b4o3b4o$2b11o$2b4o3b4o$2b4o3b4o$2b4o
3b4o$2b4o3b4o$2b4o3b4o$2b11o$2b4o3b4o$2b11o$3b2obobob2o$3b3o3b3o$3b3o
3b3o$3b2o5b2o$2b4o3b4o$2b4o3b4o$2b11o$2b4o3b4o$3b3o3b3o$3b3o3b3o$2b11o
$2b4o3b4o$3b9o$3b3o3b3o$3b9o$3b3o3b3o$2b4o3b4o$2b4o3b4o$3b9o$3b3o3b3o$
3b9o$3b3o3b3o$3b3o3b3o$3b3o3b3o$3b3o3b3o$3bobo3bobo$bo3bo3bo3bo$bo3bo
3bo3bo2$bobo7bobo2$6bobo!
Things to work on:
- An Isotropic version of All_Speeds
- Find more ships in B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
- Find a (3,1)c/5 ship in a Non-totalistic rule (someone please search the rules)
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Re: B026/S1

Postby AbhpzTa » August 21st, 2017, 1:44 pm

Single-replicator version of Extrementhusiast's p32 gun:
x = 24, y = 24, rule = B026/S1
22bo$21b3o$22bo3$9bo5bo3$18bo2$12bo$13bo8$o4$4bo!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Re: B026/S1

Postby muzik » August 30th, 2017, 7:31 pm

Infinitely extensible one-dimensional 2c/10 tagalong:
x = 69, y = 15, rule = B026/S1
3o2bo2bo3bo2bo2bo3bo3bo3b3o3bo2bo2b5o2bobo2b5o3b7o7$26bo3b3o3bo2bo2b5o
2bobo2b5o3b7o7$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.
2c/n spaceships project

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Re: B026/S1

Postby muzik » August 31st, 2017, 2:24 am

A new natural 4c/20:
x = 43, y = 1, rule = B026/S1
o3bo3b3o2bo2b5o2bobo2b5o3bo2bo2bo!


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

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Re: B026/S1

Postby muzik » August 31st, 2017, 3:16 pm

Signal through dots:
x = 857, y = 75, rule = B026/S1
108bo2$104bo7bo2$100bo15bo2$96bo23bo199bo2$92bo31bo191bo7bo2$88bo39bo
183bo15bo2$84bo47bo175bo23bo199bo2$80bo55bo167bo31bo191bo7bo2$76bo63bo
159bo39bo183bo15bo2$72bo71bo151bo47bo175bo23bo199bo2$68bo79bo143bo55bo
167bo31bo191bo7bo2$64bo87bo135bo63bo159bo39bo183bo15bo2$60bo95bo127bo
71bo151bo47bo175bo23bo2$56bo103bo119bo79bo143bo55bo167bo31bo2$52bo111b
o111bo87bo135bo63bo159bo39bo2$48bo119bo103bo95bo127bo71bo151bo47bo2$
44bo127bo95bo103bo119bo79bo143bo55bo2$40bo135bo87bo111bo111bo87bo135bo
63bo2$36bo143bo79bo119bo103bo95bo127bo71bo2$32bo151bo71bo127bo95bo103b
o119bo79bo2$28bo159bo63bo135bo87bo111bo111bo87bo2$24bo167bo55bo143bo
79bo119bo103bo95bo2$20bo175bo47bo151bo71bo127bo95bo103bo2$16bo183bo39b
o159bo63bo135bo87bo111bo2$12bo191bo31bo167bo55bo143bo79bo119bo2$8bo
199bo23bo175bo47bo151bo71bo127bo2$5bo206bo15bo183bo39bo159bo63bo135bo
2$o215bo7bo191bo31bo167bo55bo143bo2$220bo199bo23bo175bo47bo151bo2$424b
o15bo183bo39bo159bo2$428bo7bo191bo31bo167bo2$432bo199bo23bo175bo2$636b
o15bo183bo2$640bo7bo191bo2$644bo199bo2$848bo2$852bo2$856bo!


Can't seem to find a clean 90 degree turn reaction.
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Re: B026/S1

Postby muzik » September 2nd, 2017, 6:25 am

Pathological object:
x = 256, y = 1, rule = B026/S1
oobbooooooobbbobboboobooooooboboboobbbobooooooobobbobbbboobbobboobbooobbboobbooobbboobobobbboboboooooobbobboooboooooobboobobbboooobobobooboooobboboobbobobbooooobobbobobobbboobooooobbobboobbobbbbobooobobobobobobobobbobobbbboboooobbooobobooobbboooooboooobobo!
2c/n spaceships project

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Re: B026/S1

Postby muzik » September 14th, 2017, 3:21 am

Yet another new natural xq10:
x = 256, y = 1, rule = B026/S1
ooooooobbboobbbbobbbbbbboobbbobbbboooooooobobobbbobbbooboobbboooboobboboooooobbbbbbbooobobooboobobbobbooooobbobooobobooboobooobbbbobboobbobbbbobbooooooobbboobobbbbooooobobobooooboooobbobbbbboooobbboboboooobobbbobbbooboooooboboobbbbbbboobbobobboooobbobobooo!
2c/n spaceships project

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Re: B026/S1

Postby muzik » September 15th, 2017, 6:06 pm

Mixed rake:
x = 7, y = 12, rule = B026/S1
5bo3$4bo3$5bo$o$bo3bo$6bo$3bo$4bobo!
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Re: B026/S1

Postby muzik » September 25th, 2017, 2:54 pm

Yet another natural 2c/10:
x = 256, y = 1, rule = B026/S1
boboobbobobobooobbooobobbobbobobobobobboobooobobobbooooobbbobboboobooboooobbooboobbbobbbooboobooboobobbobobbbooobboobooobobboooboobbbbooooboobbobboooooooobbobbobbbobooboboboobobboboooooooobobbobooboobooobbooooooooboobbobbooboobooobooboobobboobooboobbobobbo!


Come on - we need more people giving this rule their all on apgsearch!
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Re: B026/S1

Postby Gamedziner » 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.
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Re: B026/S1

Postby muzik » 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.
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