b-rules

[b-engine]

Accidental very long boat with tail:

Code: Select all

x = 11, y = 8, rule = Ignorance
2.2B.2A$.B.B.2A$AB2A$2ABA$.2B.2B.2A$2.B.2B.A.A$B8.A$2B7.2A!

How to eat block:

Code: Select all

x = 7, y = 7, rule = Ignorance
3.2B$3.2B2A$5.2A$2.2A$.A.A$.A$2A!
 

EDIT:
Mono bee shuttle:

Code: Select all

x = 20, y = 7, rule = Ignorance
13.2A$13.A.A$15.A$2B11.3A$2B$4.2B.2B3.2B.2B.2B$4.2B.2B3.2B.2B.2B!
 

[b-engine]

Testing:

Code: Select all

x = 29, y = 13, rule = TwoWires
BDC6B.ADC4A3.BDC4B$15.4A6.4B$10.ADC4A3.BDC4B$ADC6A2$10.BDC4B3.ADC4A$A
DC3A3B6.4A6.4B$10.ADC4A3.BDC4B2$BDC3B3A$10.BDC4B3.ADC4A$15.4A6.4B$10.
BDC4B3.ADC4A!

@RULE TwoWires
@TABLE
n_states:5
neighborhood:vonNeumann
symmetries:rotate4reflect
var a = {0,1,2,3,4}
var a1 = a
var a2 = a
var a3 = a
var b = {0,1}
var b1 = b
var b2 = b
var b3 = b
var c = {0,2}
var c1 = c
var c2 = c
var c3 = c
var w = {0,1,2,4}
var w1 = w
var w2 = w
var w3 = w
var s = {0,3}
1,2,3,0,2,3
4,1,4,0,0,1
4,2,4,0,0,2
2,1,3,0,1,3 
b,b1,1,b2,3,3
1,1,b1,b2,3,3
c,c1,2,c2,3,3
2,2,c1,c2,3,3
3,w,w1,w2,w3,4
4,4,w,w2,w3,w2



@COLORS
1 128 128 128
2 255 128 0
3 255 255 255
4 225 225 255
@NAMES
1 Wire 1
2 Wire 2
3 Signal head
4 Signal tail

[b-engine]

This is a smaller 8c/51d spaceship in one of the rulespace which pis are very common and can over-unite (see Miscellaneous discoveries in OCA) :

Code: Select all

x = 266, y = 255, rule = B3-cr4ej5ny6kn7c8/S2-n3-en4i8
227b2o$227bobo5bo2b2o$229bo6bo2bo$227bobo6b3o$227b2o4$209bo$209bobo$211b
2o$209bobo$209bo4$192bo$193b2o$194bo32b2o$193b2o35b2o$192bo35b3o13b3o
$229bo14bobo$243bo3bo2$175bo$175b2o$176b2o$175b2o$175bo3$162b2o$162b2o
6$164bo$163b3o4b2o$170b2o$162b2ob2o6$178b2o$178b2o5$253bo$252b3o$186b
2o63b2ob2o$186b2o7$194b2o$194b2o4$230bo$229b3o12b2o$228b2o14b2o$202b2o
27b2o$171b3o28b2o$171bobo$170bo3bo2$213b2o$213b2o37b2o$138bo113b2o$136b
obo71b2o20b6o$135b2o73b2o37b2o$131b2o3bobo110b2o$131b2o5bo$261bo$128b
2o91b2o36bo2bo$128b2o91b2o37b2o$171bo$169b2o47b2o36bo$169bo48b2o37bo$
139b2o28b2o84bobo6b2o$139b2o30bo84bo8bo$264b2o$136b2o91b2o30bobo$136b
2o91b2o30b3o$204bo$203b2o21b2o$202b2o22b2o$147b2o54b2o$147b2o55bo33bo
$236bo2bo$144b2o91b2o$144b2o$233bo$234bo$232bobo6b2o$155b2o23bo52bo8b
o$155b2o22b3o59b2o$178b2ob2o55bobo$124b3o25b2o84b3o$124bo2bo24b2o$123b
o2b2o3$163b2o$163b2o2$160b2o$160b2o3$81b2o$81b2o88b2o$171b2o2$80bo87b
2o$79b3o86b2o2$78b2ob2o$89b2o$89b2o88b2o$179b2o2$176b2o$176b2o2$188bo
$97b2o87bo2bo$97b2o88b2o2$183bo$184bo$133bo48bobo6b2o$132b3o12b2o34bo
8bo$131b2o14b2o42b2o$105b2o27b2o52bobo$105b2o81b3o4$116b2o$116b2o37b2o
$31b2o8bo113b2o$31b2o6bobo71b2o20b6o$38b2o73b2o37b2o$39bobo110b2o$41b
o$164bo$124b2o36bo2bo$87b3o34b2o37b2o$39b2o33bo12bobo$39b2o31b2o12bo3b
o30b2o36bo$72bo48b2o37bo$72b2o84bobo6b2o$74bo84bo8bo$24b2ob2o138b2o$25b
3o104b2o30bobo$26bo105b2o30b3o$47b2o58bo$47b2o57b2o21b2o$105b2o22b2o$
106b2o$107bo33bo$139bo2bo$140b2o2$55b2o79bo$55b2o80bo$135bobo6b2o$136b
o8bo$144b2o$141bobo$16bo3bo120b3o$17bobo$17b3o43b2o$63b2o7$71b2o23bo$
71b2o22b3o$94b2ob2o5$8b2ob2o$79b2o$9b3o67b2o$10bo$76b2o$76b2o4$87b2o$
87b2o2$84b2o$84b2o4$95b2o$2ob2o13bo76b2o$o3bo13bobo49bo$b3o16b2o47b2o
21b2o$19b2o47b2o22b2o$19bo49bobo$71bo7bo24bo$79bo22bo2bo$79bo23b2o$bo
77bo$2b2o75bo19bo$3bo75bo20bo$bobo94bobo6b2o$b2o96bo8bo$107b2o$104bob
o$104b3o$22bo$20b2o47b2o$20bo48b2o$20b2o$22bo2$80b2o$80b2o$55bo$54b2o
21b2o$53b2o22b2o$54b2o$55bo33bo$87bo2bo$88b2o2$84bo$85bo$83bobo6b2o$84b
o8bo$92b2o$89bobo$89b3o!
x = 288, y = 288, rule = B3-cr4ej5ny6kn7c8/S2-n3-en4i8
249b2o$249bobo5bo2b2o$251bo6bo2bo$249bobo6b3o$249b2o4$231bo$231bobo$233b
2o$231bobo$231bo4$214bo$215b2o$216bo32b2o$215b2o35b2o$214bo35b3o13b3o
$251bo14bobo$265bo3bo2$197bo$197b2o$198b2o$197b2o$197bo3$184b2o$184b2o
6$186bo$185b3o4b2o$192b2o$184b2ob2o6$200b2o$200b2o5$275bo$274b3o$208b
2o63b2ob2o$208b2o7$216b2o$216b2o4$252bo$251b3o12b2o$250b2o14b2o$224b2o
27b2o$193b3o28b2o$193bobo$192bo3bo2$235b2o$235b2o37b2o$160bo113b2o$158b
obo71b2o20b6o$157b2o73b2o37b2o$153b2o3bobo110b2o$153b2o5bo$283bo$243b
2o36bo2bo$243b2o37b2o$193bo$191b2o47b2o36bo$191bo48b2o37bo$161b2o28b2o
84bobo6b2o$161b2o30bo84bo8bo$286b2o$251b2o30bobo$251b2o30b3o$226bo$225b
2o21b2o$224b2o22b2o$169b2o54b2o$169b2o55bo33bo$258bo2bo$259b2o2$255bo
$256bo$254bobo6b2o$177b2o23bo52bo8bo$177b2o22b3o59b2o$200b2ob2o55bobo
$260b3o5$185b2o$185b2o2$182b2o$182b2o4$193b2o$193b2o$143bo$141b2o47b2o
$125b2o14bo48b2o$125b2o14bobo$142b2o2$201b2o$201b2o$176bo$175b2o21b2o
$133b2o39b2o22b2o$133b2o40bobo$177bo7bo24bo$185bo22bo2bo$185bo23b2o$185b
o$185bo19bo$185bo20bo$124b3o14b2o61bobo6b2o$124bo2bo13b2o62bo8bo$123b
o2b2o85b2o$210bobo$210b3o2$175b2o$175b2o$149b2o$149b2o2$186b2o$81b2o103b
2o$81b2o78bo$160b2o21b2o$159b2o22b2o$80bo79b2o$79b3o79bo33bo$156bo36b
o2bo$78b2ob2o72b3o36b2o$89b2o63b2ob2o$89b2o99bo$191bo$189bobo6b2o$190b
o8bo$198b2o$195bobo$195b3o$97b2o$97b2o4$133bo$132b3o12b2o$131b2o14b2o
$105b2o27b2o$105b2o4$116b2o$116b2o37b2o$31b2o8bo113b2o$31b2o6bobo71b2o
20b6o$38b2o73b2o37b2o$39bobo110b2o$41bo$164bo$124b2o36bo2bo$87b3o34b2o
37b2o$39b2o33bo12bobo$39b2o31b2o12bo3bo30b2o36bo$72bo48b2o37bo$72b2o84b
obo6b2o$74bo84bo8bo$24b2ob2o138b2o$25b3o104b2o30bobo$26bo105b2o30b3o$
47b2o58bo$47b2o57b2o21b2o$105b2o22b2o$106b2o$107bo33bo$139bo2bo$140b2o
2$55b2o79bo$55b2o80bo$135bobo6b2o$136bo8bo$144b2o$141bobo$16bo3bo120b
3o$17bobo$17b3o43b2o$63b2o7$71b2o23bo$71b2o22b3o$94b2ob2o5$8b2ob2o$79b
2o$9b3o67b2o$10bo$76b2o$76b2o4$87b2o$87b2o2$84b2o$84b2o4$95b2o$2ob2o13b
o76b2o$o3bo13bobo49bo$b3o16b2o47b2o21b2o$19b2o47b2o22b2o$19bo49bobo$71b
o7bo24bo$79bo22bo2bo$79bo23b2o$bo77bo$2b2o75bo19bo$3bo75bo20bo$bobo94b
obo6b2o$b2o96bo8bo$107b2o$104bobo$104b3o$22bo$20b2o47b2o$20bo48b2o$20b
2o$22bo2$80b2o$80b2o$55bo$54b2o21b2o$53b2o22b2o$54b2o$55bo33bo$87bo2b
o$88b2o2$84bo$85bo$83bobo6b2o$84bo8bo$92b2o$89bobo$89b3o!

[b-engine]

P82 TL shuttle:

Code: Select all

x = 22, y = 9, rule = Ignorance
3.2B2.2B.2B.2B2.2B$3.2B2.2B.2B.2B2.2B$12.A$.B11.A6.B$B.B10.A5.B.B$.B11.
A6.B$12.A$3.2B2.2B.2B.2B2.2B$3.2B2.2B.2B.2B2.2B!

[b-engine]

Accidental mirrored tables:

Code: Select all

x = 5, y = 6, rule = Ignorance
5A2$2BA2B$BA.AB$.BAB$2.B!

[b-engine]

Here's the 3-state rule extracted from B+Univ, taking the temporal name "CataProp" and serves the purpose of ease of rulegolfing:

Code: Select all

#R CataProp
! 
[[ RANDOMIZE ]] 
@RULE CataProp
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
Var a={0,1,2} # All cells
Var a1=a
Var a2=a
Var a3=a
Var a4=a
Var a5=a
Var a6=a
Var a7=a

1,0,1,0,1,0,0,0,0,2 # T-ship
0,1,0,1,0,1,0,0,0,2
0,0,1,2,1,0,0,0,a,2
2,0,1,2,1,0,0,0,0,2
2,1,0,0,0,1,0,0,0,2
0,2,2,1,a3,a,a1,a2,0,1
1,2,2,0,a,a1,a2,0,0,0

2,a,a1,a2,a3,a4,a5,a6,a7,0 # Red otherwise dies
@NAMES
0 Empty
1 Catalyst
2 Propagation
@COLORS
1 255 0 255
2 255 0 0

This means that B+Univ is a hybrid of CataProp and something else. I'll rulegolf CataProp to make universal construction possible.

[b-engine]

180° reflector:

Code: Select all

x = 24, y = 3, rule = CataProp
A4.A17.A$6.A$5.A!
@RULE CataProp
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
Var a={0,1,2} # All cells
Var a1=a
Var a2=a
Var a3=a
Var a4=a
Var a5=a
Var a6=a
Var a7=a

1,0,1,0,1,0,0,0,0,2 # T-ship
0,1,0,1,0,1,0,0,0,2
0,0,1,2,1,0,0,0,a,2
0,0,1,2,1,0,1,2,1,2
1,0,2,2,2,0,0,0,0,0
1,1,2,0,0,1,0,0,0,0
2,0,1,2,1,0,1,2,1,2
2,0,1,2,1,0,a,0,0,2
2,1,a,0,0,1,0,0,0,2
0,2,2,1,a3,a,a1,a2,0,1
1,2,2,0,a,a1,a2,0,0,0

2,a,a1,a2,a3,a4,a5,a6,a7,0 # Red otherwise dies
@NAMES
0 Empty
1 Catalyst
2 Propagator
@COLORS
1 255 0 255
2 255 0 0

EDIT:
Accidental T chain in a fashion of Jusf Friends's big glider:

Code: Select all

x = 12, y = 3, rule = CataProp
A2.A.A2.A.A$2B.B.2B.B.2B$A2.A.A2.A.A!

@RULE CataProp
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
Var a={0,1,2} # All cells
Var a1=a
Var a2=a
Var a3=a
Var a4=a
Var a5=a
Var a6=a
Var a7=a

1,0,1,0,1,0,0,0,0,2 # T-ship
0,1,0,1,0,1,0,0,0,2
0,0,1,2,1,0,0,0,a,2
0,0,1,2,1,0,1,2,1,2
1,0,2,2,2,0,0,0,0,0
1,1,2,0,0,1,0,0,0,0
2,0,1,2,1,0,1,2,1,2
2,0,1,2,1,0,a,0,0,2
2,1,a,0,0,1,0,0,0,2
0,2,2,1,a3,a,a1,a2,0,1
1,2,2,0,a,a1,a2,0,0,0

2,a,a1,a2,a3,a4,a5,a6,a7,0 # Red otherwise dies
@NAMES
0 Empty
1 Catalyst
2 Propagator
@COLORS
1 255 0 255
2 255 0 0
 

Here's the first wickstretcher and infinite growth in CataProp, made by an accidental discovery of siamesed Ts:

Code: Select all

x = 2, y = 5, rule = CataProp
.A$.B$2A$.B$.A!
@RULE CataProp
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
Var a={0,1,2} # All cells
Var a1=a
Var a2=a
Var a3=a
Var a4=a
Var a5=a
Var a6=a
Var a7=a

1,0,1,0,1,0,0,0,0,2 # T-ship
0,1,0,1,0,1,0,0,0,2
0,0,1,2,1,0,0,0,a,2
0,0,1,2,1,0,1,2,1,2
1,0,2,2,2,0,0,0,0,0
1,1,2,0,0,1,0,0,0,0
2,0,1,2,1,0,1,2,1,2
2,0,1,2,1,0,a,0,0,2
2,1,a,0,0,1,0,0,0,2
0,2,2,1,a3,a,a1,a2,0,1
1,2,2,0,a,a1,a2,0,0,0

2,a,a1,a2,a3,a4,a5,a6,a7,0 # Red otherwise dies
@NAMES
0 Empty
1 Catalyst
2 Propagator
@COLORS
1 255 0 255
2 255 0 0

First agarship:

Code: Select all

x = 39, y = 39, rule = CataProp
A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A$2B.B.2B.B.2B.B.2B.B.2B.B.2B.B
.2B.B.2B.B$A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A$2B.B.2B.B.2B.B.2B.
B.2B.B.2B.B.2B.B.2B.B$A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A$2B.B.2B
.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B$A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A
2.A$2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B$A2.A.A2.A.A2.A.A2.A.A2.A.
A2.A.A2.A.A2.A$2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B$A2.A.A2.A.A2.A
.A2.A.A2.A.A2.A.A2.A.A2.A$2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B$A2.
A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A$2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B
.B.2B.B$A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A$2B.B.2B.B.2B.B.2B.B.2B
.B.2B.B.2B.B.2B.B$A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A$2B.B.2B.B.2B
.B.2B.B.2B.B.2B.B.2B.B.2B.B$A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A$2B
.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B$A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A
2.A.A2.A$2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B$A2.A.A2.A.A2.A.A2.A.
A2.A.A2.A.A2.A.A2.A$2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B$A2.A.A2.A
.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A$2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.
B$A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A$2B.B.2B.B.2B.B.2B.B.2B.B.2B
.B.2B.B.2B.B$A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A$2B.B.2B.B.2B.B.2B
.B.2B.B.2B.B.2B.B.2B.B$A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A$2B.B.2B
.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B$A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A
2.A$2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B$A2.A.A2.A.A2.A.A2.A.A2.A.
A2.A.A2.A.A2.A$2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B$A2.A.A2.A.A2.A
.A2.A.A2.A.A2.A.A2.A.A2.A$2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B.2B.B$A2.
A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A!
@RULE CataProp
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
Var a={0,1,2} # All cells
Var a1=a
Var a2=a
Var a3=a
Var a4=a
Var a5=a
Var a6=a
Var a7=a

1,0,1,0,1,0,0,0,0,2 # T-ship
0,1,0,1,0,1,0,0,0,2
0,0,1,2,1,0,0,0,a,2
0,0,1,2,1,0,1,2,1,2
1,0,2,2,2,0,0,0,0,0
1,1,2,0,0,1,0,0,0,0
2,0,1,2,1,0,1,2,1,2
2,0,1,2,1,0,a,0,0,2
2,1,a,0,0,1,0,0,0,2
0,2,2,1,a3,a,a1,a2,0,1
1,2,2,0,a,a1,a2,0,0,0

2,a,a1,a2,a3,a4,a5,a6,a7,0 # Red otherwise dies
@NAMES
0 Empty
1 Catalyst
2 Propagator
@COLORS
1 255 0 255
2 255 0 0

[tommyaweosme]

solution to pn*4+2 where n is at least 3

Code: Select all

x = 10, y = 19, rule = CataProp
7.A$A5.2B$7.A.A3$7.A$.A4.2B$7.A.A3$7.A$2.A3.2B$7.A.A4$7.A$3.A2.2B$7.A
.A!
@RULE CataProp
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
Var a={0,1,2} # All cells
Var a1=a
Var a2=a
Var a3=a
Var a4=a
Var a5=a
Var a6=a
Var a7=a

1,0,1,0,1,0,0,0,0,2 # T-ship
0,1,0,1,0,1,0,0,0,2
0,0,1,2,1,0,0,0,a,2
0,0,1,2,1,0,1,2,1,2
1,0,2,2,2,0,0,0,0,0
1,1,2,0,0,1,0,0,0,0
2,0,1,2,1,0,1,2,1,2
2,0,1,2,1,0,a,0,0,2
2,1,a,0,0,1,0,0,0,2
0,2,2,1,a3,a,a1,a2,0,1
1,2,2,0,a,a1,a2,0,0,0

2,a,a1,a2,a3,a4,a5,a6,a7,0 # Red otherwise dies
@NAMES
0 Empty
1 Catalyst
2 Propagator
@COLORS
1 255 0 255
2 255 0 0

accidentally found in soup, may help contribute to omniperiodicity

[b-engine]

solution to pn*4+2 where n is at least 3
accidentally found in soup, may help contribute to omniperiodicity

It's known, and quite common in soups for me to discover.

Don't forget the forum rules:

In order to keep the forums organized, please:
...
Keep the formatting in your posts simple. The use of bold/italics/underline/font color/font size is not necessary in most cases.
...

Font colors are usually unnecessary, unless you absolutely need to highlight a certain text. Entirely colored paragraph are not allowed.

-

Finally splitter and eater:

Code: Select all

x = 8, y = 7, rule = CataProp
5.3A4$A$2B5.A$A!

@RULE CataProp
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
Var a={0,1,2} # All cells
Var a1=a
Var a2=a
Var a3=a
Var a4=a
Var a5=a
Var a6=a
Var a7=a

1,0,1,0,1,0,0,0,0,2 # T-ship
0,1,0,0,0,2,0,0,0,1
0,2,0,0,1,1,1,0,0,2
0,1,0,1,0,1,0,0,0,2
0,0,1,2,1,0,0,0,a,2
0,0,1,2,1,0,1,2,1,2
0,1,2,1,1,0,0,0,0,1
0,1,1,1,0,0,0,0,0,1
1,1,0,1,1,0,0,0,0,2
1,0,2,2,2,0,0,0,0,0
1,1,2,0,0,1,0,0,0,0
1,0,2,1,0,1,1,1,0,0
1,0,1,1,0,1,0,1,1,0
2,0,1,2,1,0,1,2,1,2
2,0,1,2,1,0,a,0,0,2
2,1,a,0,0,1,0,0,0,2
0,2,2,1,a3,a,a1,a2,0,1
1,2,2,0,a,a1,a2,0,0,0

2,a,a1,a2,a3,a4,a5,a6,a7,0 # Red otherwise dies
@NAMES
0 Empty
1 Catalyst
2 Propagator
@COLORS
1 255 0 255
2 255 0 0

Temporal quadratic (or superquadratic?) growth commonly occuring from soups:

Code: Select all

x = 87, y = 4, rule = CataProp
58.A27.A$58.2B$A57.A$3A!

Accidental soup discovery #1:

Code: Select all

x = 98, y = 3, rule = CataProp
A48.A$48.3A$48.A.A46.A!

[b-engine]

All 2T collisions:

Code: Select all

x = 57, y = 72, rule = CataProp
3B.3B.2B$B.B.B.B.2B$3B.B.B$2.B.B.B$3B.3B5$A7.A7.A13.A7.A9.A$2B6.2B6.2B
12.2B6.2B8.2B$A7.A7.A13.A7.A9.A$3.B$2.ABA6.B$10.ABA6.B14.ABA6.ABA8.AB
A$18.ABA$35.B8.B10.B2$A7.A7.A$2B6.2B6.2B$A7.A7.A13.A15.A$30.2B14.2B$30.
A15.A2$3.B$2.ABA6.B25.ABA14.ABA$10.ABA6.B$18.ABA17.B16.B8$B.3B.3B.2B$
B.B.B.B.B.2B$B.3B.B.B$B.B.B.B.B$B.3B.3B6$A6.A5.A7.A6.A5.A$2B4.2B5.2B5.
2B6.2B4.B.B$A6.A5.A7.A6.A5.A5$7.A13.A12.A$A5.2B5.A6.2B6.A5.B.B$2B5.A5.
2B6.A6.2B4.A$A12.A14.A4$7.A13.A12.A$6.2B12.2B12.B.B$A6.A5.A7.A6.A5.A$
2B11.2B13.2B$A12.A14.A3$7.A13.A12.A$6.2B12.2B12.B.B$7.A13.A12.A$A12.A
14.A$2B11.2B13.2B$A12.A14.A!
@RULE CataProp
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
Var a={0,1,2} # All cells
Var a1=a
Var a2=a
Var a3=a
Var a4=a
Var a5=a
Var a6=a
Var a7=a
1,0,1,0,1,0,0,0,0,2 # T-ship
0,1,0,0,0,2,0,0,0,1
0,2,0,0,1,1,1,0,0,2
0,1,0,1,0,1,0,0,0,2
0,0,1,2,1,0,0,0,a,2
0,0,1,2,1,0,1,2,1,2
0,1,2,1,1,0,0,0,0,1
0,1,1,1,0,0,0,0,0,1
1,1,0,1,1,0,0,0,0,2
1,0,2,2,2,0,0,0,0,0
1,1,2,0,0,1,0,0,0,0
1,0,2,1,0,1,1,1,0,0
1,0,1,1,0,1,0,1,1,0
2,0,1,2,1,0,1,2,1,2
2,0,1,2,1,0,a,0,0,2
2,1,a,0,0,1,0,0,0,2
0,2,2,1,a3,a,a1,a2,0,1
1,2,2,0,a,a1,a2,0,0,0
2,a,a1,a2,a3,a4,a5,a6,a7,0 # Red otherwise dies
@NAMES
0 Empty
1 Catalyst
2 Propagator
@COLORS
1 255 0 255
2 255 0 0

Accidental wickstretcher (provably smallest):

Code: Select all

x = 5, y = 3, rule = CataProp
3.A$A3.A$3.A!

[b-engine]

Attempts of exploiting T signal logics:

(Periodic) 180° reflector + same lane duplicator:

Code: Select all

x = 32, y = 14, rule = CataProp
4.3A5.3A3$31.A$8.A21.A$4.A9.A16.A2$A6.2A$A7.2A$A4.A.2A$12.3A3$7.3A!

Turns long T into wickstretcher:

Code: Select all

x = 15, y = 5, rule = CataProp
14.A$A12.2B$.A4.A7.A$A12.2B$14.A!

Miracle: 穿墙术?

Code: Select all

x = 9, y = 7, rule = CataProp
8.A$7.2B$8.A$A6.2B$8.A$7.2B$8.A!
 

[b-engine]

Accidental discoveries when trying to rulegolf a fuse for the linestretcher:

Code: Select all

x = 29, y = 16, rule = CataProp
13.2A$.27A$2.A.A.A.A.A.A.A.A.A.A.A.A.A$A27.A3$A26.A$2B6.17A2.2B$A26.A
3$8.A6.2A$3.2A11.2A$.A.A13.B$.A.B13.A$3.A!

@RULE CataProp
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
Var a={0,1,2} # All cells
Var a1=a
Var a2=a
Var a3=a
Var a4=a
Var a5=a
Var a6=a
Var a7=a
1,0,1,0,1,0,0,0,0,2 # T-ship
0,1,0,0,0,2,0,0,0,1
0,2,0,0,1,1,1,0,0,2
0,1,0,1,0,1,0,0,0,2
0,0,1,2,1,0,0,0,a,2
0,0,1,2,1,0,1,2,1,2
0,1,2,1,1,0,0,0,0,1
0,1,1,1,0,0,0,0,0,1
1,1,0,1,1,0,0,0,0,2
1,0,2,2,2,0,0,0,0,0
1,1,2,0,0,1,0,0,0,0
1,0,2,1,0,1,1,1,0,0
1,0,1,1,0,1,0,1,1,0
1,1,1,1,1,1,0,0,0,0
1,1,1,1,0,0,0,0,0,0
0,1,1,1,1,0,0,0,0,1
2,0,1,2,1,0,1,2,1,2
2,0,1,2,1,0,a,0,0,2
2,1,a,0,0,1,0,0,0,2
0,2,2,1,a3,a,a1,a2,0,1
1,2,2,0,a,a1,a2,0,0,0
2,a,a1,a2,a3,a4,a5,a6,a7,0 # Red otherwise dies
@NAMES
0 Empty
1 Catalyst
2 Propagator
@COLORS
1 255 0 255
2 255 0 0

I bet FWKnightship will make CataPropAndManyShips.

EDIT:
Synthesis of a trivial oscillator made of 4 shuttles:

Code: Select all

x = 31, y = 28, rule = CataProp
19.A$19.2B$19.A8$29.B$28.ABA8$2.A$B.B$2.A4$12.ABA2$13.B!

@RULE CataProp
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
Var a={0,1,2} # All cells
Var a1=a
Var a2=a
Var a3=a
Var a4=a
Var a5=a
Var a6=a
Var a7=a
1,0,1,0,1,0,0,0,0,2 # T-ship
0,1,0,0,0,2,0,0,0,1
0,2,0,0,1,1,1,0,0,2
0,1,0,1,0,1,0,0,0,2
0,0,1,2,1,0,0,0,a,2
0,0,1,2,1,0,1,2,1,2
0,1,2,1,1,0,0,0,0,1
0,1,1,1,0,0,0,0,0,1
1,1,0,1,1,0,0,0,0,2
1,0,2,2,2,0,0,0,0,0
1,1,2,0,0,1,0,0,0,0
1,0,2,1,0,1,1,1,0,0
1,0,1,1,0,1,0,1,1,0
1,1,1,1,1,1,0,0,0,0
1,1,1,1,0,0,0,0,0,0
0,1,1,1,1,0,0,0,0,1
2,0,1,2,1,0,1,2,1,2
2,0,1,2,1,0,a,0,0,2
2,1,a,0,0,1,0,0,0,2
0,2,2,1,a3,a,a1,a2,0,1
1,2,2,0,a,a1,a2,0,0,0
2,a,a1,a2,a3,a4,a5,a6,a7,0 # Red otherwise dies
@NAMES
0 Empty
1 Catalyst
2 Propagator
@COLORS
1 255 0 255
2 255 0 0

[b-engine]

Stable signal wire and loop:

Code: Select all

x = 26, y = 26, rule = Ignorance
21.2B$21.2B2$10.2B.2A3.2A.2A$10.2B.2A3.2A.2A2$13.2A$13.2A$5.2B.2A11.2A
$5.2B.2A11.2A2$8.2A3.2A.2A3.2A.2B$8.2A3.2A.2A3.2A.2B$2B.2A$2B.2A8.2B$
13.2B$3.2A3.2A.2A$3.2A3.2A.2A2$11.2B$.A9.2B$3.2A.2A$3.2A.2A2$6.2B$6.2B!

How to make a turn?

[b-engine]

First p92 glider gun:

Code: Select all

x = 35, y = 21, rule = Ignorance
22.2B$22.2B$26.2B$25.B2AB$13.2A10.B2AB$13.A.A10.2B$15.A$2B11.3A$2B$4.
2B.2B3.2B.2B.2B.2B.2B$4.2B.2B3.2B.2B.2B.2B.B8.2B$24.B8.2B$24.2B7$25.2B
$25.2B!

[b-engine]

(Why no one else posting here?)

Huge chaos:

Code: Select all

x = 535, y = 567, rule = Ignorance
522.2B$522.2B$526.2B$525.B2AB$513.2A10.B2AB$513.A.A10.2B$515.A$500.2B
11.3A$500.2B$504.2B.2B3.2B.2B.2B.2B.2B$504.2B.2B3.2B.2B.2B.2B.B8.2B$524.
B8.2B$524.2B7$525.2B$525.2B541$2.2B$.B2AB$BA2.AB$BA2.AB$.B2AB$2.2B!

EDIT:
P46 gun:

Code: Select all

x = 35, y = 25, rule = Ignorance
13.2A$13.A.A$15.A$2B11.3A17.2B$2B31.2B$4.2B.2B3.2B.2B.2B7.2B$4.2B.2B3.
2B.2B.2B7.2B2$27.2B$27.2B.3A$30.A2.A$27.2B.A.2A$27.2B4$27.2B$27.2B2$27.
2B$27.2B3$29.2B$29.2B! 

[b-engine]

I bet this is the smallest p46 glider gun:

Code: Select all

x = 27, y = 7, rule = Ignorance
13.2A7.2B$13.A.A6.2B$15.A$2B11.3A$2B23.2B$4.2B.2B3.2B.2B.2B5.2B$4.2B.
2B3.2B.2B.2B!

[b-engine]

(I need to multipost for an entire page and a little bit more because no one else are posting here now)
Accidental p30 pre-pulsar shuttle:

Code: Select all

x = 9, y = 7, rule = Ignorance
2B5.2B$2B5.2B$3.A3.A$3.A.A.A$3.A3.A$2B5.2B$2B5.2B!

[pifricted]

(I need to multipost for an entire page and a little bit more because no one else are posting here now)

(Also happened on me. (e.g. my sandbox))
P32 Pi hassler

Code: Select all

x = 12, y = 20, rule = Ignorance
3.2B.2B$3.2B.2B$10.2B$2B8.2B$2B$3.A.A$3.A.A$2B.3A4.2B$2B8.2B3$2A8.2A$
2A.3B4.2A$3.B.B$3.B.B$2A$2A8.2A$10.2A$3.2A.2A$3.2A.2A!

[unname4798]

(I need to multipost for an entire page and a little bit more because no one else are posting here now)

(Also happened on me. (e.g. my sandbox))
P32 Pi hassler

Code: Select all

x = 12, y = 20, rule = Ignorance
3.2B.2B$3.2B.2B$10.2B$2B8.2B$2B$3.A.A$3.A.A$2B.3A4.2B$2B8.2B3$2A8.2A$
2A.3B4.2A$3.B.B$3.B.B$2A$2A8.2A$10.2A$3.2A.2A$3.2A.2A!

Smaller:

Code: Select all

x = 12, y = 12, rule = Ignorance
3.2B2.2B$3.2B2.2B2$2B8.2B$2B8.2B$3.A.A$3.A.A$2B.3A4.2B$2B8.2B2$3.2B2.
2B$3.2B2.2B!

[pifricted]

P2 agar

Code: Select all

x = 20, y = 20, rule = Ignorance
3.2A2.2A2.2A2.2A$.2BA.2BA.2BA.2BA.2B$.2B.A2B.A2B.A2B.A2B$3A3.A3.A3.A4.
A$A4.A3.A3.A3.3A$.2BA3.A3.A3.A.2B$.2B.A3.A3.A3.A2B$3A3.A3.A3.A4.A$A4.
A3.A3.A3.3A$.2BA3.A3.A3.A.2B$.2B.A3.A3.A3.A2B$3A3.A3.A3.A4.A$A4.A3.A3.
A3.3A$.2BA3.A3.A3.A.2B$.2B.A3.A3.A3.A2B$3A3.A3.A3.A4.A$A4.A3.A3.A3.3A
$.2BA.2BA.2BA.2BA.2B$.2B.A2B.A2B.A2B.A2B$3.2A2.2A2.2A2.2A!

[b-engine]

Accidental duplicator when trying to make NOR:

Code: Select all

x = 44, y = 97, rule = Ignorance
2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B$2B
5.2B3$2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.
2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B$2B5.2B
3$2B5.2B$2B5.2B2$11.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B$2B5.2B2.2B2.2B2.2B
2.2B2.2B2.2B2.2B2.2B$2B5.2B$41.3A$41.A$2B5.2B32.3A$2B5.2B$11.2B2.2B2.
2B2.2B2.2B2.2B2.2B2.2B$11.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B$2B5.2B$2B5.2B
3$2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B$
2B5.2B3$2B5.2B$2B5.2B$3.3A$3.A.A$2.A3.A!

Actual NOR (remove a pi at the right for OFF):

Code: Select all

x = 44, y = 65, rule = Ignorance
2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B2.2B2.2B2.2B2.2B2.
2B2.2B2.2B2.2B$2B5.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2$41.3A$2B5.2B32.
A$2B5.2B32.3A2$11.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B$2B5.2B2.2B2.2B2.2B2.
2B2.2B2.2B2.2B2.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B2.2B2.
2B2.2B2.2B2.2B2.2B2.2B2.2B$2B5.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2$41.
3A$2B5.2B32.A$2B5.2B32.3A2$11.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B$2B5.2B2.
2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$
2B5.2B$2B5.2B3$2B5.2B$2B5.2B3$2B5.2B$2B5.2B$3.3A$3.A.A$2.A3.A!
 

[b-engine]

NOR:

Code: Select all

x = 26, y = 22, rule = CataProp
19.3A4$12.A4.A$12.A8.A$12.A$17.2A6.A$16.2A7.A$17.2A.A4.A3$7.A12.A$8.A
11.A$7.A12.A5$A19.A$.A18.A$A19.A!

If I could make another gates, then I'll post the W110 emulator in CataProp in my 2000th post.

[b-engine]

Logic gates:

Code: Select all

x = 79, y = 43, rule = CataProp
11.3B.3B.3B15.3B.3B.3B20.3B.3B$11.B.B.B.B.2B16.B.B.B.B2.B21.B.B.2B$11.
B.B.3B.B.B15.B.B.3B2.B21.3B.B.B4$19.3A23.3A24.3A4$12.A4.A20.A4.A21.A4.
A$12.A8.A16.A8.A17.A8.A$12.A25.A26.A$17.2A6.A17.2A6.A18.2A3.A2.A$16.2A
7.A16.2A7.A17.2A4.2B.A$17.2A.A4.A17.2A.A4.A18.2A.A.A2.A3$7.A12.A12.A12.
A13.A12.A$8.A11.A13.A11.A14.A11.A$7.A12.A12.A12.A13.A12.A2$69.ABA$70.
B2$A19.A32.A19.A$.A18.A33.A18.A$A19.A32.A19.A2$59.3A$69.ABA$70.B2$62.
3A$59.A2.B.B$62.A.A$55.A$55.A8.A4.3A$55.A4.A2.B2$62.ABA$63.B$62.3A!

[b-engine]

AND:

Code: Select all

x = 36, y = 47, rule = CataProp
21.3B.3B.2B$21.3B.B.B.B.B$21.B.B.B.B.2B4$29.3A3$12.ABA$13.B8.A4.A$22.
A8.A$22.A$27.2A3.A2.A$4.3A19.2A4.2B.A$27.2A.A.A2.A3$7.3A7.A7.A4.A$4.A
2.B.B5.B.B5.B.B4.A$7.A.A7.A7.A4.A$A$A8.A2.3A$A4.A2.B2$7.ABA3.A4.A11.A
$8.B4.A16.A$7.3A3.A16.A$8.3A$9.B$8.ABA2$.A4.A2.B$.A8.A2.3A$.A$8.A.A6.
2A$5.A2.B.B7.2A$8.3A6.2A4$5.3A9.3A4$14.B$13.ABA!

With these p16 gates, I'll construct a W110 emulator in CataProp (maybe with other p16n technologies).
Since I haven't found a toggle circuit, I'll use xor(or(p, q), and(p, q, r)).

EDIT:
P9 gun and smaller AND:

Code: Select all

x = 44, y = 31, rule = CataProp
3.3B.3B.2B$3.3B.B.B.B.B4.ABA$3.B.B.B.B.2B6.B5$31.3A4$35.A3.A2.A$12.AB
A16.A2.2B3.B.B$13.B18.B2.A3.A$42.B$31.ABA7.ABA2$4.3A2$31.ABA7.ABA$32.
B$7.3A7.A4.A4.A7.A3.A2.B$4.A2.B.B5.B.B4.A4.A5.B.B3.2B2.A$7.A.A7.A4.A4.
A4.A2.A3.A$A$A8.A2.3A$A4.A2.B$41.3A$7.ABA$8.B$7.3A!
 

[CARuler]

Temporal quadratic (or superquadratic?) growth commonly occuring from soups:

Code: Select all

x = 87, y = 4, rule = CataProp
58.A27.A$58.2B$A57.A$3A!

it actually a temporary exponential growth (y'=y)