ConwayLife.com

Posted: **September 5th, 2022, 9:50 pm**

toroidalet wrote: September 5th, 2022, 9:31 pm Why does the rule PreblockCoexistence run so slowly?

@RULE PreblockCoexistence
@TABLE

n_states: 4
neighborhood: Moore
symmetries: permute

#1: block (B3/S023)
#2: preblock
#3: dot (B3/S)

# Dots only affect the count for corner cells, not the others.

var a={0,3}
var b=a
var c=a
var d=a

# Preblocks don't affect the count for corner cells.

var f={0,2}
var g=f
var h=f
var i=f
var j=f

# Preblocks and blocks treat birth/survival counts the same way (birth = to state 1/2, death = to state 0/3)

var l={1,2}

var n={0,1,2,3}
var o=n
var p=n
var q=n
var r=n
var s=n
var t=n
var u=n

#S2/3
1,1,1,1,0,0,0,0,0,1
1,1,1,1,3,a,b,c,d,2
1,1,1,f,a,0,0,0,0,1
1,1,1,f,3,3,a,b,c,2
1,1,1,3,3,3,3,3,3,2
1,1,2,f,3,a,0,0,0,1
1,1,2,f,0,0,0,0,0,2
1,1,2,f,3,3,3,a,b,2
1,1,2,3,3,3,3,3,3,2
1,2,2,f,0,0,0,0,0,1
1,2,2,f,3,3,a,0,0,1
1,2,2,f,3,0,0,0,0,2
1,2,2,f,3,3,3,3,a,2
1,2,2,3,3,3,3,3,3,2

2,1,1,1,0,0,0,0,0,1
2,1,1,1,3,a,b,c,d,2
2,1,1,f,3,0,0,0,0,1
2,1,1,f,0,0,0,0,0,2
2,1,1,f,3,3,a,b,c,2
2,1,1,3,3,3,3,3,3,2
2,1,2,f,3,3,0,0,0,1
2,1,2,f,a,0,0,0,0,2
2,1,2,f,3,3,3,a,b,2
2,1,2,3,3,3,3,3,3,2
2,2,2,f,a,a,a,0,0,1
2,2,2,f,3,a,0,0,0,2
2,2,2,f,3,3,3,3,a,2
2,2,2,3,3,3,3,3,3,2

#S0
1,0,0,0,0,0,0,0,0,1
1,3,3,a,0,0,0,0,0,1
1,a,b,0,0,0,0,0,0,2
1,3,3,3,3,a,b,c,d,2

2,a,a,a,0,0,0,0,0,1
2,3,a,0,0,0,0,0,0,2
2,3,3,3,3,a,b,c,d,2

#S7
2,1,1,1,1,1,1,l,a,2
2,1,1,1,1,l,2,2,a,2
2,1,1,l,2,2,2,2,0,l
2,1,1,1,2,2,2,2,3,2
2,1,1,2,2,2,2,2,3,1
2,1,2,2,2,2,2,2,a,2
2,2,2,2,2,2,2,2,0,1
2,2,2,2,2,2,2,2,3,2

#B3
0,1,1,1,0,0,0,0,0,1
0,1,1,1,3,a,b,c,d,2
0,1,1,2,3,0,0,0,0,1
0,1,1,2,0,0,0,0,0,2
0,1,1,2,3,3,a,b,c,2
0,1,2,2,3,3,0,0,0,1
0,1,2,2,a,0,0,0,0,2
0,1,2,2,3,3,3,a,b,2
0,2,2,2,3,3,3,0,0,1
0,2,2,2,a,b,0,0,0,2
0,2,2,2,3,3,3,3,a,2

0,1,1,1,2,f,g,h,i,3
0,1,1,3,f,g,h,i,j,3
0,1,3,3,f,g,h,i,j,3
0,3,3,3,f,g,h,i,j,3

3,1,1,l,a,b,c,d,0,2
3,1,1,l,3,3,3,3,3,2
3,2,2,l,a,b,c,d,0,2
3,2,2,l,3,3,3,3,3,2

#D1
1,1,3,a,0,0,0,0,0,3
1,1,0,0,0,0,0,0,0,0
1,1,3,3,3,a,b,c,d,0
1,2,0,0,0,0,0,0,0,3
1,2,3,0,0,0,0,0,0,0
1,2,3,3,a,0,0,0,0,3
1,2,3,3,3,3,a,b,c,0

2,1,3,3,0,0,0,0,0,3
2,1,a,0,0,0,0,0,0,0
2,1,3,3,3,a,b,c,d,0
2,2,a,a,a,0,0,0,0,3
2,2,3,a,0,0,0,0,0,0
2,2,3,3,3,3,a,b,c,0

#D4+
1,1,1,2,n,f,g,h,i,3
1,1,3,n,f,g,h,i,j,3
1,1,3,2,2,2,2,2,2,3
1,3,3,n,f,g,h,i,j,3
1,1,3,2,2,2,2,2,2,3
1,2,2,2,f,g,h,i,j,3
1,n,o,p,q,r,s,t,u,0

2,1,1,1,f,g,h,i,j,3
2,1,1,3,f,g,h,i,j,3
2,1,3,3,f,g,h,i,j,3
2,3,3,3,f,g,h,i,j,3
2,2,2,2,f,g,h,i,j,3
2,n,o,p,q,r,s,t,u,0

3,n,o,p,q,r,s,t,u,0

HotWheels9232 wrote: August 27th, 2022, 10:04 pm Is this the rule table for B3/S235678? I'm making a rule mashup so I want to check. Warning:Don't make the mashup for me

For future reference, a script to generate rule tables for any isotropic rule can be found here.

I'm on a Ipad(as you might know) so I cannot run scripts. My 541st post#6(#79#8##))#)#

Posted: **September 5th, 2022, 10:48 pm**

toroidalet wrote: September 5th, 2022, 9:31 pm Why does the rule PreblockCoexistence run so slowly?

In Golly or in LifeViewer? If the latter, then it might be because there is no @TREE section in the rule definition, and rules with @TREE work faster as far as I know.

Posted: **September 23rd, 2022, 11:37 am**

What does it mean when people write "bump" at the beginning of a post?

Posted: **September 23rd, 2022, 11:54 am**

Period1GliderGun wrote: September 23rd, 2022, 11:37 am What does it mean when people write "bump" at the beginning of a post?

The previous post was a long time ago. This has to do with forums and not cellular automata.

Posted: **October 6th, 2022, 2:53 am**

Is there somewhere a good summary/overview of the current status of Symbiosis, or the best existing way to know that is by reading through the 50+ pages of the thread?

Edit:

squareroot12621 wrote: October 7th, 2022, 11:32 am Is the snake common?
Code: Select all
x = 200, y = 200, rule = B35/S238
(rle)

The number of occurrences in b35s238/C1 (currently 4687894733 objects generated from 1804483430 soups) for objects with 1000+ occurrences:

Code: Select all

"apgcode","occurrences"
"xp2_7","2522603611"
"xs4_33","1900563057"
"xs4_252","110293691"
"xp2_318c","49833350"
"xs6_25a4","30099131"
"xp2_7e","22118624"
"xs6_356","17406835"
"xs8_6996","15021287"
"xp4_hrh","10272685"
"xs6_39c","3330075"
"xp8_rar","2703009"
"xs8_69ic","1618630"
"xp4_ffff","765917"
"xs8_25ak8","580432"
"xq5_359a953","262296"
"xs6_bd","221978"
"xs8_178k8","52872"
"xs8_312ko","26483"
"xs9_25a84c","18523"
"xp2_2a54","17535"
"xp2_7ffe","12164"
"xs7_3lo","10707"
"xs10_178ka4","10283"
"xp4_6fff","10100"
"xs10_ggka52z1","5846"
"xs8_31248c","5123"
"xs9_g0g853z11","3477"
"xs8_32qk","3170"
"xs12_641j4czx11","2916"
"xp2_62bd46","2843"
"xs10_g8ka52z01","2112"
"xp12_fggzf","1975"
"xs14_04ak871z311","1698"
"xp2_31ago","1689"
"xs16_g88m996z1221","1555"
"xs10_xg853z321","1497"
"xs10_0drz32","1256"
"xs10_0cp3z32","1006"

The snake is xs6_bd, position 16, 221978 occurrences.

Posted: **October 7th, 2022, 11:32 am**

Is the snake common?

Code: Select all

x = 200, y = 200, rule = B35/S238
3bobo3b6o2bo5bobo2bo2b3o3bo2bo3bob6ob5ob2o2b2obo4bo2bo10bob2ob3o6bobo
b2obob2o8b2obo3b4o2b3ob6obo2b3obob2obobo4b2o2bob2ob2o3b2obo3b5ob2obo4b
3o$5ob3ob2obo3b2ob8ob2o4b2obo2bo4bobo3b2obob6obo2b3o3bo4b3ob2o5bobo4b
2obo3bo3bo2b2ob3o2bob2o2bo2b3o2b2o5bo4bob3o3bo3b2ob4ob2obob6obo3b2ob6o
2b3obob3o$o2bobo6bo2bob2o3b5obo3b2o6b4o4bobobobo4b2o4bobo2bo5bo6b3obo
b2ob4o3b4obo2bobob3obo2b2o2bo2bo4bo8b2o2bobobo2b3ob3obo4bob4ob2o2b2o3b
2ob2ob2obo2b2ob3o2bo$bobo3bob4ob4o2b6o5b2obob2ob9o2b7o2bobob4o2b2o3bo
2bobo2bob3ob2obobo3bob2ob3ob3o2b2o2bo4bobob3o4b2o4b6o2bo5b2o2b2ob3obo
2b3obo4b2obo2b4o2bobob3obob2obo$2b2obo2bo4b3o3b2o3bobo3b4ob2obo4b2obo
3b4ob2o3b5o3bobob3o2bobob2obo11b2obob3o4bo2bob2obobo2bob3o2b9o3bobo2b
3o3bo3bobobo3b2o3bobob2o2b2ob5o2b2o2b3obo2bobo$5o4bobob3o5bo5bobo2bob
4ob2o4b2obobo5b2o4bobobob2o2bo2b13ob2ob3ob6o5bo2b6o2b2obob4o4b2o3bobo
b2obo3b7o2bobo3bo3bobo4bo3bobo2b2obo2b2ob2ob4obo$3obobobo2bo5b2obobob
ob3ob2o4b2obo2b2obo3b2o2b2ob2ob7obob2o6bo4b3ob2o5bo5bobobob4obo4bob2o
b2ob3o4bobobo2bo3b2o2bob3obo2b3obo5b2o3bobo3bob2o2b7obo3b4o$bobobo3b3o
bobob2ob3ob2ob2ob2obobob4ob2o2bobo3bo7bo2bo5b3o2bo4bobo2bobob2o5b3obo
2b2ob4obo2bob4o3bo2b2o3b4o2bob2obob5o4bo3b5o6b2o6bo3bo5bo4bob2obo3bo$
2o2b2ob2ob2ob2ob2ob2o2bobo3b2o4bob4ob7o4bo3b5obo4b6obo2bob11o3bo2b2o2b
2ob3ob2o2bo2bo3bo2bo2b2o4b5o2bob2o4b5o6b2o4bob6ob3o3bobobob5ob3ob4obo
$3b2o3bo3bo2bobob3obo2bob4o3b3obobo2bo4bobobo2bo2b8obob2ob2obobo2b4ob
obob2o2bo2b4obo2bo2b8obob9o6b3o4b3o2bo4b5ob2o2b2o2bo2bo4bo2bob2o3bobo
3bo2bob3obo$3ob3o4bobo7bobob4o3bob2obo4bob3obo2b2obo2bo7bob2o2bo2bo4b
3ob4ob6ob2obo2b5o2b2obo2bo2bob3ob3ob3ob2ob2obo2bo2b2o7bob5o2bob2ob2o2b
ob3o2bo4b3obo2b2ob2o2bo$b3o2bob3o3bobobo2bob3obo2b5ob4o3b2o4b3ob3o2b4o
2b2o4bo4bo4b5o4b3obo3bo2b3o9b2ob2obo3bo4b5o2b3o3b8o4b4obo2b2o3b3ob3o2b
3obobobo2b2o2bo3bo5bo$b7obobo7bo3bo3b2obobo2b2o4bo3bobo2bo2bo2bob3ob6o
b3o3b4o3bob2o2bo4bobobo10bo3b2obo6b2o2bobobo2b2obobob2obobobobo3b2ob2o
2bo2bo7b6o2bob4o3bob3o2bo3bo$obob2o2b2ob3o2b4obo8b5o8bob5ob3ob3ob4obo
2b9obo2bob2o4bo3b2ob2o3bo2bo2bobo6bo2bo6b2o2b3obo4bo2b4o3bobob2ob5ob2o
5b3ob2ob2ob2obob4obo3b3obo2bo$obo2bo3b6ob2o5bob2ob3o3b4ob2ob3ob2ob6o4b
9o5b4ob2ob2obo2b2o2b3obo2bob3o2b2obobobo2bo3bo5b2obobobo2b3o2b3obo3b2o
3b4obobobo5bob4obobobob2ob2ob2o5b2o$bob3o2b3o2b2ob4o2b2o3bo3b6o2b2o6b
obo2bo4bo2b6o3b2o4bobo5b5o2bo3b5obo8bo5bob2o3b5o2b5ob3o2b2obob2ob2o3b
4o2bo4b9obobobob3o2b5o6bo2bo$ob2o2b3o2bobo3b2obo3b2obob2obobo2bob2o2b
o2bo3b6o9b2ob2o3bo2b2ob3obo2b3o3b9o4b5o2b3ob2ob3o5bo3b2o2bobo2bob2obo
b5o8b2o5b2ob2o2b2o2b2obob6ob2ob3ob2o$3bobo4bobo3b2o2bo3b4o2b2ob2o3b2o
2b2o4bo2bo2b2ob4ob3o4b2ob2ob2o3b2o4bo3b2o2b4obob4o3bob3ob5o3b4obo3bob
ob5obobobob5o2b3obo5bo2b3obob2obobobo2bob3obo2b3o2b2o$o2b2ob4o11b2o6b
ob2obobo2b3o4b3obo5b8ob3obob2o3bo4bo8b3obobobo5b5o4b2o3bo2bobo3bobob5o
5b3o6bob5obo2bo2b2o3bo2bo2bo4bo3b2o3b4obo3b2o$3b3o2bob4ob2obob3o2bob2o
bo2bo2bo3bo2bo2bo2bo2bo3b3obo2b2o2bob3o4bo4b2o3b9obo5b2o2bob2o3bo2b2o
bo2bob2o3b3ob4o4b2obo2bo3bo3bobo4b2obob2ob3o2b2ob3obo2b2ob2ob2ob2o3bo
$o4bo2bobo7b2o3b3o2b6ob2o2bo2bo3b2obo2b3o2b2obo2b5ob2o2bobo4bobob3obo
b10obo2b8o2bob2ob2ob3obo2bobobo2bo5bob3ob2o2b3o3bo6bobobo2b2o3bo2b3o2b
obob2obob2ob3o$bo3b4o4bob2obobobo2b4o2bo2bo3b3obo2bo2bo4b2o2b3o4b2obo
2b4ob4o3bo3bo3b2obob3o3bo3bo2b2ob3obob3obo5b2ob2obo5bob2o2bo2bob5o3bo
b3obo5bo3bo4bo2bob2ob8obob2o$b2ob3obobobo2b2o2b3ob4o3b2o4b2obo2b3o2bo
3bobobobo2b3ob2ob3o2bobob2o2b4o5bob2ob4ob5obo2b2ob2obo7bo4bo2b3o2bo2b
2ob5o5bobobobobo2b2obob2o2b2ob4obob3ob2o4b2obobo2bo$6b5o2b3ob3obo6b2o
3b2o3bo4bob3obob2obob2ob4obo2bobob5o3bobob2o6b2obo3b3o2bo4bob3o2b5o3b
o2bo3b3obo6b2ob2o3bo3b3o3b2o2b2obob6obob2ob3ob3o2b3o3bobo$2o3b2obo2b2o
bo3b8ob5o2b2obo2bobobo4b2o3bo2bo5bo3b4obo2b3obo2bob4obo2b4obobobobo2b
ob2obob4o3bo4bobo3bo4bobob2ob2o4bob2ob2obobo2b6ob3o3b2o2bob3o2b2ob2ob
obo2b3o$2b2obob5obo2b3o2b4ob2ob2ob2o5b2obo3bob5o3bo2b5o2b2ob2o2b2o3bo
b2ob2obo2b4ob2ob2o5bobo2b2o7b2obo3b2obob3o2bobo2b6ob8ob2obobob3o2bo2b
ob3ob2obo2b3obob2obo2b2o$bo2b2obobo3bo3bobo2b2o2b3obobobo2bo2bo2b5o2b
2o4bo3bobob2obo4bo5b2obobo2bobobo3bo4bob2o2bobob4obo2b2o3bobo3bobobo2b
4ob2o2bob4ob2o2b2o7bo2bob2ob2o2bo2b2o5b2ob2o5bo$ob2o2b2o4bob2obo4bobo
5bob4obob3o3bobo6b2obo3bob2ob4o3b3ob4ob5ob2ob2o2bob2o2b4ob2obobo4b5ob
5o2bo2b2o2b3obo2bob2obobo4b3ob2obobob3o3b2o3bo3bobobob2o2bo2b4obo$o2b
o2bo2bobob7o2bo2b2ob2o3b2ob3ob2obobobob5obo2bo2bobob5obob4o2b3ob2obo3b
2obob4obo2bo2bo3bo2b3ob3o3bobo2bobob3o4bobob2ob2o5bo2b3ob4ob5o4b2o2bo
3bobo2b2o2b4obob2o$b4o2b4ob3obo4b4ob3ob3o3bobo2b3o2b4ob2ob3o2bo5bob2o
2b2o2b2o3b2obo5bo2bobo2b2o2bobobo3bo2bob4o8b2ob2obob2obobob2ob2o2b2o3b
obo2bo2bobob3o7b3o2bobo3bob3o4bo2b2o$2b3obo2bob4o2b2o6b2obo4bo2bo3b2o
2b2o4b4o4bo4bob2o4bo2b2obob2o2b2o3b2o2b4obob2o3bobo3bob2obob2o4bo4b6o
b6o3b2ob5o2bo3bo6bobob5obobo2b2obobobob4obobo2bo$2bo2bo2bo2b2o5b3o4b2o
3b3ob2o2bo3b3o2bo3b2o3b2o3bob2o5bob4obo3bob3obob2o3bo2bo2b3o2b6o2b2ob
o3bo5bo3b2o2bob8obobob3o7bo3b3obob2obobo2bobo2bobobobo2bo2b5o$2o2b6ob
ob5ob4o6b2ob4o2b2o2b5ob3o4b2ob3obobob7ob2ob3ob5o3bo4bob4o2bobo2b2o2b2o
3b2ob4o2b4obo2bobobobo4bobo3b2o3bobo2b2obo7bob3o4bo3b6obo2b2ob3o$5ob4o
5bo6b4ob3obo3b5o3bo4b2o3b2ob3ob3o4b2obobo2b2ob3ob2o9b4o5bo2bobob5obob
2o2bo2b2ob6o2b2ob2obo3b16o2bob2obo3b3obob2o5bobobo2b2ob2o2bo$2bo4b4o4b
4ob2ob2obo5bobob2obobob3ob4ob8o2b2o2b2obob6o4bob3obobob3o2b2o2b2ob4o2b
2ob3ob2o2bo2b2ob4o4bob11o4b3o3bob2o3bo2bob2obob3o2bo3b2o2bob2ob2ob2ob
2o$4ob3ob6obo2bo2b6obo3bo2b3ob2o3b2ob3obobo3b2obobo2b3o7bobob2o2b2o2b
2ob2o2bob7obo3bo5bo2b3o3b4obo7bob5o2b4o2bo2bobo5bobob5ob3ob2ob4ob5ob5o
bo$bob2ob3o2b2ob2o4b3o3bo3bo5bobo3b2ob2obob2obobo3b2o2bo4b5ob3obo5bob
ob2o2b4obo2b3obo2b2o2b3o3b2o4bobobo2bo2bo2bo5b3o5bo2b2ob3o2bo2b3o3bo3b
o2bobob2obo3bo3b2obob3o$2obob2o2b7o3b8ob2o3b2o3b3o6b3o2b2ob2obo5bo2b2o
3b2obob3obo2bobo2bob2obob2o5bobo2bob2o3b3ob2obob2ob2o3b5o5b3ob10obobo
2bobo3b3obo5b4obobobo2bobob2ob3o$o2b3ob2ob2o2bob3ob3o2bo2bob2ob2o7b4o
bobobobo5b3o5bobo5b2o2bob2o8b3obo2bob5o4bobo2b5o2b11o2b2o6bo2b4o2b2ob
obob3o3bobo3bob2o2b5ob6o2bo5bobo$bobo2b2obo7b2obobobob2ob5ob2ob2ob2o3b
o12bob2ob6o4b3obo4b3ob2ob2obo4b4ob3o2bo2bob2o2b2o4b6ob4obo3bo4b7obo4b
8o2b2ob3o2b2o2b6obo2b2obobobo$b2ob3o6bo4b2o2b3ob4o2bo2bob3obo2b4ob3o5b
5o2bob2o2bob4o3bo4b3o2bo3bobobo5bob3o3b2o4bobo4b3o5b2o2bo2bob2ob2o3b7o
3b3o2b2o5bobo3bob2obo2bobo2bobob2o2bo$bob5obob2ob2ob2obob3o2bobob4o2b
o3bo2b2o2b2o2bo3b3o2b2o3b4ob5ob2o2b6ob4o6b5obob2ob3o3bo3b4ob3obobo2bo
3bob3o2b2o4bobob2obo2bo3b2obo3b2obobobob3o2bo4bo5bobo$2o6bo4bob2o2b2o
bo2bobob4o3b4o3bob2ob2o2b2ob2ob2obo3b2obob2o3b2o2b2o2bo3bob4o5bo5bo3b
obobo6b6obobob2ob2o4b2obob7ob2o5b2o2b4o2b4o2bob3o6b4obo3b3o$o2bob2o6b
obo4b6obo2bob2o3b3o3b6obo2bob2obob4o2bob2o2bo3bobob3o2b2ob4o4bo5b3o3b
obo3b4o2b2o2bobobobo2bo5b2obobobo2bo3b2obo2b2o3bobo2b3o4b2obo3b2o3bo3b
8o$2bo2b3o3bob3obo2bobobo3bob2o2b5obob2ob2o3bo3bo2b2o2bob4o2b2o3b4o5b
o4b4o3bob3o2bob2obo2bob2o4bo3bobobobobo3b4o2b2obo2bobo2b2o5bo2bo2bo2b
2o2bo6b4ob2obob3ob8o$3bob5obo2b2obob2o5b2ob2o3bo2b2o9bobob2obob2obob3o
2b2ob2obob3o2bo2bo2bobobob2ob3o3b3obobobo2bob5o4b3obob3ob2obob2o2b4o4b
ob7o4b3o2bobob2o2bobobob2o2b3ob2obo4bo$ob4obo3b2o9bo2bobob3obobo3bob2o
b3o5b2o2b2o2b4obobo3bo11bo3bob2ob2o4bo3bo2bob3obobob5ob5o2bo3bo2bobob
2o2b4o4bobobo3b6o2b2o3b3o3bob2o2b2obobob2ob2o2b2o$bobo2b2o2bo2b3ob6ob
5obob3ob3ob2ob2obo2bob2o2b2o6bo2bob2o2bob5o2bob3obo3bo2bo2b10o2b2ob3o
b2o2bo3b3o4b2o11b3ob4ob2o2b2o2b2obo2bo3bo5b4o4bob2ob3o2bobo$2b2obo3bo
bo4b2o4b2o4bo2b3obo3bo2bobob3ob2o2b2o3bo2bo2b5obo5bo5b7ob2ob2obob4obo
4bo3bob2ob2ob3ob4obo3b2obo4b3obobob4o2b2obobobob2ob3o3b2o2bobo4b3o2b2o
bobo3bo$bo2b3obobob10obob2ob3o3bo2bobo2b2obob2obo2bo2b4obo6bo2bobob4o
2bob3obo2b7o3b2ob4o2bobobo3b3ob3obob2obo2b4obobo7b5o5b2obob3o4bobob4o
b3o2bo3b4ob4obo$2o2b2o2b2o2b2ob2o2bob4o2bobo5bob7o2b4o2bo6bo3bob2o3b2o
7b4ob2obob2obo3bo2bo2b6obo3bo2b2o4bobob2o12b2obob2o2bo5b3ob2o2bo3b2ob
obobo2bo4bo5b4obo2bo2bo$obo2b2obo3bobobo2b4o2bo4b4ob2o3b7ob2ob6o2bo4b
8ob2o3b3o2bob3o3b2ob6ob3o3bo2bobo3bo2b2obo2b2o3bo4bo3bob3o5b3o3b3obob
o3bobo3b2o2bob5o3b2o3bo6b3o$2o2bob4ob2obo2b2obo3b2obobobo4b2obob2obob
o2bo2b3obob2o2bob2obo3b3o2bo2b2ob2obobob2o2b5o2b2ob2o5b5o2b2obob2obo3b
3o2b3o2b2o2b3o4b7o2b2o2bo3b2o2bobo2b4o3bob7o5bo$2o4bo3bob2obobobobo4b
o2b4obob2obobobobo2b2o4bo3b2obobobo2b2obob3o2b2ob5ob2obo3b2o2bobo3b2o
3b5o2bo4bo2bobobo2b2ob6o11bob3o3bobo2b3o2bo6b3obob2o3bo4b3ob4o$2ob4ob
o2b4ob2o3b2o8bo6bob2o4bobo2b3o3bob6obobobobo2b3o4bo3b5obo4b2obobo2b2o
bo2bo3bobo2bobobo2bo3b2o6b2o6bo2b3o4b8obobo2bo2b2o2b2obobo5bo2bo2bobo
$bo2b2obo2b9o2bobob2o7bo2b2o4b2o2b2obo6bo8bo2bo2bo3b2o5b3ob4obo4b3obo
4bobo2bobo2bobobo3b4ob4o2b4o6b2o2bob2obo2bobo3bobobo2b5ob4o2bobo2bob2o
b4obobo$ob2obo5b2o2b3o2b2o4b3ob4o3b2ob2o3b2ob2ob2ob3o2bobobob2o2bo2bo
2b4ob3o3bobo3bo3b3ob2o3bo2bob3ob2o2b8ob3o3b3o2bo2bo2b3o2b2o3bo2b3ob2o
bobob2o3bob6ob4o2b3obo2b2ob2o$3o2bo2bobo5b3o4b3obo4bobob3o4bobo5b4o5b
5o2bo2b4o2b2obob3o2b2obo3bo2b3o4bob2o3bo2bo4bo2bobo2bo4b2obob2obo6bob
2o2b4obo2b4ob4o4b2o2b2o2bo5bob5o3b2o$2ob2o3b2o2b2o3b5obobo4bobob2obo2b
2obobob5obo5b3o3b3o2b3ob3ob2obo2bo3b6o2b2o3bo3b2o3bo2b2o4bo2bob5ob2ob
4ob5o3b2ob3o4bo2b3o2b2o4bobob3obob5ob2o2b3obo3b2o$2o3bo2b2o2b2ob2obob
2o2b3obob3obobo7b2obo2bo2b3o3b5o2b2o5bo4b3o2b2o4bo2bo3b2o2bo3bo2b2o3b
ob4o5bob5o4bo4bobo3bob2obobobobobo3bob2ob3o2b3o2b7o2bobo3b2obobo$2obo
b3o2b2o2b2obo11b5o2bo2b6o2b3o2bo2bo2bob2obob2ob2obob3o5bo2bo5bo2b5o2b
o3bob2ob2o3bo5bobo6b2o3bob5o2b3o4b3ob2obo4b3obob3obo3b3o2bo5b4o3b2o$2b
obo2b3o3b2ob2o3b2ob3obob2o3b2obobob2ob4o8b2o3bob2ob4o5b2o4bo2bob3o4bo
b2o3bo3b5o2bo3b2o4bo5b4ob4o3b2o2bo2bobob3obobo2b2o6bobo2b2obob3ob2ob2o
bobo3b2o2b2o$o3bob6o3b4o2bo2bo2b4obo4bo4b5obob2obobo3bob2obobobo3bobo
bob2o2bobo2bo7b9o2b4o2b3o3b2ob2o3b5o2bobo3bob3obo2bobob9o3bo2bo2bo4b2o
2b5o3b2obob3o3b2o$2o4b2obobobo2bo2b2ob3obob2obob2o4bobob2obobob2o5bo2b
obob7o2b2o2b3o2bo3b6o2bob4o2b3ob3o2b3ob4obo3b2obobobo5bo2bo2bobob2ob5o
bobo5bo6b4ob2o3bob4ob2o3bo3bobo$3o2b2o5bo2bob5ob2ob3ob2ob3o3bo3b2ob2o
bobo3b5o5b2ob4o2b6ob2o2b3o3bob4ob2ob2obob3o2b2o3b2ob3o3b2o2b2ob4o3b2o
b3obo2bob3o3b2obo3b3o2bobob2ob2ob4obo3b4ob2obob2o$b2o4bo5b2o2bobo2bo2b
ob2obo2bobo2b3o7b2obobo2bo2bob3o2bo2bo4bo2b3obob2o2bo2bo2b2o2b5o2bob4o
bob4obo2bo4bob6obo5b5o3bo2bo7bo3bo3bobob3obobobobob2obob4ob2o$ob4o6bo
3b4obobo3bobo2bo2bobo2b2o3bob3o2bob2o2b2ob6o2bo3b3o3b3obo4b2o8bob4obo
4bob2o3bob3o3bo3bo4b2ob2obobobo3b3ob3ob3ob3o2b3o5bo2b3o3b3o4bo2bo2b4o
$3b2ob2obo2b2o3bobo5b2o4bo4bo2b3ob6o2bob2o3bob8o2b2obob2ob2o2bob2ob3o
3bob2obo3b3o3bob6ob2o5b2obob3obobobo6bo3bo2b3o2b2o4b2o2b2obob3o2b3o2b
o2b4o2b3o$o5b7ob2ob2o2b3obob2obob4o3bob5ob4ob3o3b2o2bo2bo3b3o5b3ob3ob
ob3o2b2ob2ob5o3bobob4o4bo3b5o2bo2b2ob2ob3obob4ob4obob6o4bob8ob4ob3o4b
ob2obo2b2o$2obo2b2obobobo2b3o8bo3b3ob2o2b3ob2o5b2o3b3obobob2o5b2obob3o
3b2o2b3obo4b4ob4o3bob4o3bo3bob3obo4bo2b2obo3bobo3b2ob4o3b4o3b3obo4bo2b
3obo3bo2bob2obo2b2ob3o$2bo2b2ob3obo2bo2bobo3b4o4bo2b4o4bob9obo2b2obob
4o4b2ob3o2b2o5b2o2b2ob2ob2obo2b2o4b2o4b2obobob2ob3obo2b3o2b4o2bob2ob2o
bobob2obobob2o2bo2b2obo2b4o3bob3ob3obobo$4bobob3o2bobo6bo4b3obob4ob3o
3bob2o2bo3bobo2bob6o8b2obo2b2o3bob2obob9o3b3obo2bob2o4b3o2b3o2b2ob4o2b
2o2bo2b2o2b2ob2o2b3o4b4o2b2o2bobo2b2o4bobob2ob3obo$bobobobobob2o2bo3b
ob4o2b3o4b5obo4b4o2b3ob4ob2o8b2obo2b2ob2obo2b2o3bo2bo2bo4bo2bo3bobo2b
2obo3bo2b2ob3obobo5b3o6b2o4b3o2b3o2b7o2b2o2bo4bo3bob5obob5o$2o2bo3bob
6o3b3o3bobo2b2ob5o2bobobo3bo3bo2b2obo3bobo7b2o2b2o4bobo5bo2bob2o6bob4o
bo2bo4b3obobob3o2b4o2b4o2bo2bo7bo2bobo2b2obo2b2obo3bobo2bobobo2b4o2bo
$2bob2obo2bobo4bo2b3o2bo3b2ob4obob2ob2o4bobo7b3o5b4o2b4o6bo5bobo2bo3b
4o3bo2b5ob3obobo3b2obob5obo4b2obobo4b3ob3obo2bo2bobobobo4b3ob2o4b2o2b
2o8b2o$obo3bob3o2b2o2b5ob3o4bobobobo3bob2obob3o2bob3o4b4obo2bob5obo2b
ob2o2bobo4b2ob2o4b2obo2bobob2o2bo3b2obobob3ob2o7b2o2b2obobob2o3b2ob2o
b3obo5bo2b2o2b4obobo3b5ob4o$2bobobob2o3b2ob5o4b2ob2o2bo2bob2obobo2bob
2o2bo3bo3bob2o2b2o3bo3b3obo5b2ob2o3bobo3bo3b2o6b3ob2ob2o2b3o3bo2b2obo
2bo6bobob2obo4bo3b3obob2o3bo3bo3b3o2bob2o3bo2bo3bo$o2b6o2bob3o2bob3o3b
2o2bo3b2obobo2b2o2b4o2b6o2bo2b4obo2bobobo4bo2bo2b2o2bob3o3b3ob2ob2obo
bo2b4o2b2ob2o2bo2b6obo2bo2b2obo4bo3bobobobo4bo4bobo3bo3b2obo4b4obo3b3o
$2bobobo2bo3b2o2b4ob2obob2ob2o3b3o4b2o2bo3b2obo3b2o3bobo2b5o7bobo5bob
2ob2obobob2o3bo2b2o2b2ob3obob3ob3o3b3obo3b7ob3ob6o3bob3o3bobob2o2b2ob
2ob3o2b2ob2o2bo2bo$2b4o2b10ob3obob3ob3ob5ob2o2bo4bo6bob2o5bob2o3b3obo
b2o2bo2bo3b7ob2ob2ob6obobo2b2o3b2o3b5obobo2b2obob2o3b6ob2ob3obo3b2o4b
obob2ob3obo4b2o2bo3b2obo$2b4ob2o4bo5b6o3b2o2b5ob2o3bobobob4ob3o2b4o4b
2obobo2bo3bo4bo3b2ob3obo2b4o2b4o2bobobo2b2ob3ob2o3b3o2bo3bobob4o4b2o4b
2o2b5ob2obo3bobob6o3bo3bo2b2obob2o$bo7b3ob3obob2obobo2b3o2b2obo2bo6bo
b4o2b2o3bo3bob2o2bo6bo3bob2ob4o2bo2b6ob2o3b4o6bo2b2obob2o2bobobo3b2ob
ob2o2b4o3bob2o4b3o2b2ob2ob3o2bo3bob4o5b3o3bob2o$o3bo5b2o3bob2ob2o2b4o
b5ob3o2bo2bo2bo2bob3obo2bob2o3b3o2bobob2ob3ob2o2bob2obobob2obob8ob4ob
obo2bo2b6ob4o2b2o2b2obob2o2bo2bobo4b2o2bo4b3obob3o2b2obo3bo3b6o2b2o$o
bob2ob2o5b2o2bo6bo3b3o3bobo3b4o3b4ob4o5bo2b4ob2ob2o2bo3bo2bob2o2b2ob2o
bobobo2b2ob2obob4obobo2b3ob2o3bob4o2bob3o3b4o2b2ob2ob4o3bo5b2ob2o2bo2b
2obob2o2b2o2b2o3bo$3o3b2o2bobobo2b2o4bobo5bob2ob5obo5bo5bobobob2o2bo4b
o3b2o2b3ob2obob2obob2o2bobob3obobobo2b2ob2ob2o4b3o2b3o2bobob3o2bo6bob
o2bo8bo2b8ob2o3bobo2bobob6obo$5o5b3ob2ob2o2b2ob2ob2ob2obo3bo2b4o2b4o2b
3obo7b2obo2bobobob2obobob7o2bo2bo4bob2obo6bo2b3o2b2o2b4o2bo2bobobo2b3o
b5o3b6ob5o3b2ob3o5bobob2o3bo2b2obobobobo$3o2bob2o2b2o2bob3obob2obo4bo
2bo2b3o5b2ob2ob2obob2obo2bob3o2bo2bo3b3ob2ob2o4b2ob2obobobo2bo6b2o2bo
2bo3b4ob2obo2bob2obob4o3b4ob8o3b2o4bob2o3bo2b2ob3o2b8o2bob3o$2b3o2b7o
b3o2bo3bob2o2bo2bo3b2o2b3ob2o3b3ob2ob4ob3o4b2ob6obob2ob4o2bobob2o4bob
ob2ob2o2b2ob3o2bo5b2o2b2obob2obo4b2ob2o2b2ob2o4bo2bo6bob3o4bo2b2ob7ob
obo$b4o5b2ob4o3b3o3bobo2b2obo3b5o4bob2obobob4o2b2ob4o3bobo2b3ob2obob3o
b3ob3o2bo3bo2bob2ob2ob2o4bobob3obob4o6bo2b4o2b3obo3b2obo2bob2o7b2o6bo
b4ob2o2b4o2bo$4bo3b7o2bo3bo5bo3bo3bo2b4ob2ob4ob2o2b3obo3bob2o5bo2b3ob
4ob4ob2o2bo2bobo2bob6ob2o6bob3obob2o3b2ob3obo2b4obobobobo3b2o3b2o3bo2b
3o2bobo3b2obobo5b5o$3b7o2b2o3bo5bo8bo2bob6obob5o2b2obo3b3ob3obo3b2o7b
ob2obobob2o3bo2b4o4bob2o3b2o2b2obob3obo5bob2o7b3o2bo4b11ob2o2bo3b5ob2o
3b3o3bo4bob3o$ob2obo2b3o3b3ob3ob2ob2ob3o2bob5ob2ob2ob3o2b11obo4b2ob4o
3bobo3b6o7bobo6b2ob2o5b2o2b7obob2o2b3o2b2ob3o2bo2b2o3bo2b2o2bo2b2obo2b
2o4bo5bo2bo2b2obob2o$ob2o2b4o15b2o4bob4o10b3o2bob2o2bo3bo2bo5b3o2b2ob
2obob2o8b2o2bo2bo3bo2b2ob2o6b2o3b2ob2o2b3ob2obo3b4obob3obo2bo3bobo3b3o
b2ob6obo2bob3o2b4ob5o$3o2bob2obo4bo2b3o3b3o2bo2b2obob2ob2o2b3ob4ob4ob
ob4ob3o4bo2bob2o2bob3o2bobo2b3o2b3o3bo2bo6b3ob3o2bo3b3ob2ob2ob3o3b4ob
obob4ob2obobo7b5ob2o2bo2bobo5bob2o3bo$2bo2b9ob2obobo2bo2bob5obobo2b3o
2b3ob7o2bo2b2ob3o5bob5o5b4ob7obo2b2o4bobobob2o3b2ob2o2b2o2bobo2bo2b2o
2bobobo2bob4o4b2obob2ob2obo4b4o3bob2o2b2o2b3obobo3bo$3o5b3o2bob2o4bo4b
6o2bo3bo3bo3bob4ob3ob2o2bo3b2ob2o2bob2o4bob2o4bo4bo3b6o2bo4b3o2bo2b6o
2bo2bo2b5obo4bo2b3o3b3obo2bo6bob3obob2o2b8ob3o2b3ob4o$2bo4b2ob3o4b2ob
5obo2b3o4b3ob2o5bob2o4b3o6b2obob2o3bob6o3b4o3b2o2bo3b4obo3bobo2bo3b8o
2bo3bob2ob4o3b2ob5ob2o2b2o2bo2b3obob4ob2ob2ob2o2bo4b4o2b2o$bo2b2o4b2o
b4o2b3ob2ob4obo2b3o4bo2bobo3b2o4b3o3b4o8bo3b4o2bo2b2o6bo2bobo2bob2obo
4bo9bo3bob4ob2o2b6o4b3o2b2ob2o2bo3b2o2bobobo4bobo10bo2b3o2b2o$7obo2b3o
bo2b5obobob2ob3o12bobo2b2ob3o2bo4bob2obobo2bo4b4o2b4o2b3o4bobo4bo3bo2b
3obob7o2bobobob3ob4o2bob2obobobo2bo2b2obo4bobobobo3b2o2b2obo2bo3b2o4b
o$4obo2b5o2bobo2bobo6bobo2bo2bo4bob10o2b3obo3bob2o3bob3ob3obo2b2ob3ob
6o3b2obobo2bo2bobob2obob2o3bobob4o4b2obo4bob3o2bob2obobobo3b2ob2o4b2o
4b3o3bo3b2o2b2obo$2bob2o5bobo2bo3bo2b3o2bob2ob5obo6bobob2obobo2b3obob
o2b4obo3bo5bo2b4obo3bob2ob2o2b2ob2ob2o3b6o2b3o4bob3o3b3obob2obob2o4bo
3bo2b4o2bob2obo3b8o2b3obob3ob2o$b3o2bob6ob3ob5ob5ob5ob2obob2obo2b2obo
2b3o3b3o4bob3obobo2b4o2b2o2bob2o2bobo2bo2b2o7bo3b2obo3b4obobobo2bobob
3ob3ob3o3bobo5b3o2bobo3b2obobo2b13ob4obo$2ob3ob2obobo2b3ob2ob4o3b2obo
b3ob2obobo3b2o2b2ob2o2b5o2b5obo2bo5bobo3bo2bob2o2bo2bo5bobo5bo5b6obob
obobobobob3o2bo2b6obo2bo3bobo2b3obob3ob2o2bobo2b2obob5o2b5o$bob5o7b3o
2bo5b3obo4b2o2bo4b4o4bobobobobo2b2ob2o5bo4bo3b6o2bo2b2ob4ob3o4bo2bob2o
b2o3b3ob2o2b2o3bob2obobob2o2bobo3bo2bo2bo2b2obob2o2bo4b3o4b3ob2ob4ob2o
b2o$bo3bo2b3o4b4ob3ob3obo2b2o2bob3o2b3obo7bo3bob3obo4b6o2b2obo3b2ob2o
b2o3bobo2bobob2o4b2o2bo2bob2o2b2o2b3ob2obob2o2bob2obo2bobob2obob2o3b2o
2b2obo2bo2bo2b7ob2o3bobo3b3o$bob3o2b2ob2o2bobo4bobobo4b5ob9ob10o4b5o2b
o2b3o2b2obo2bobo3bo4bobobobo4bobob2ob4o2bobo2bo3bo9b3ob3o2b5ob9o3b7o3b
2ob3obob2o4bo2b4obob2o$2obo2bob2obo4b3o3bo3bob8o2bo3bob5obo4bo2bo2b4o
9bobob4obo4b2o2b2o4b2obo3bo2bob6o3bob2obob5obo2bo3bo7bo2b2ob3ob5obobo
2b3o4b2obo2bo4bo3bo2b3o2b2o$bo4b2ob3o2b3o2bo2b3ob2o2b5o3bob3o3bob3o3b
2o5b6o2b2o2bob4o3b2ob2ob2obob3o2b2ob2o4b3ob4o3b5o5b3obo3b2o8bobob2obo
b2o9bob3o4bob4obobobobob2o3b2o2bo$4b3obo3b5obobobobobo2bob2o4bob2o2b2o
b3ob2o2bo2bob2o4bob6ob3obobobobobo6b2o4b5ob4o3bob3o2bob2ob2ob2o3b2obo
2b2o4b5o2b2obob3o5bo3b2obo4b2ob2o2b3o2bo2b2o2b3o$6b2ob2o3b2obo3b2ob4o
2b7ob2o2b5ob3o2b2ob2ob2ob2obo3bob2obo2b2obob2ob2o3b3o5bo3b2o4bob4o2bo
3bo4bob4obob2o3b2o3bob3o3b3o2bob3o2bob3o3b2obobobo3b3ob3o2bo2bo3bo$3b
2o4b2obo5bob3obobo3b2o2b2o2b4o2b3ob4obob2o4b4ob2o2bo2b5ob2obo2b5o4bob
ob2o2b3obo3b5obo2bob2ob2ob2obob3obobo2bo2b2o5bob4o2bo2b2o2b2obo2bo2b2o
b2o2b3obob3o4b3o$o4b2ob3ob5obobobo6b2ob2o2b2ob3o2bo2b2obobo2b3obobo2b
3obo4bo2b3o2bob3obo2bob4obob4o3b2obobo2bob2ob2o2b4o4b2obob2o6b5ob3obo
8b2ob2obo3bobo2b4obobo4bo4b2ob2o$b3obo4b4o2bobo2b3o2bobo2b2o2bo2b2obo
3b2obob2o4bobob2o2b3obo2bo2bobobo2bob2o3b2o4bo2bo3bo3b3ob2obo2b2o2bob
obobobo3bobo3bobob3ob5obo3bob3obo2bo2b2ob2obob7ob2o3b4o3bobo$bobobob3o
2b2ob2o2b3o3b2o2bob6obo2b2o2bo6bobo3b2obo5bob2ob2ob2obo2bobobo4bo3b2o
2b5o2b2o2bobob2o2bo2bob3o11b2o2bobob2o2bo2b2ob10ob8o4bobo3bo2b4ob5obo
bo$3bobobo2b2o2b2ob2o5b3o2bob8obobo2bo2b2o2bobo2bo3bob2ob2o4b2o2bo4bo
bo2bo2b2o7bo2bobo3bobo3b2o6b3ob5o7b2obo2b3o2bobobo6b2o2b2ob2o2bob2obo
5bo3b2o3b3obo2bo$2bobob2o2b2o2b2o2bob2o2b2o2b2obo3b2ob2ob2ob3o4bobob2o
2b2o2b2ob5ob5o2bob2o3bob7o2bo5b4o3b2o3bobo2bo2b2ob3obo2b2obo3b2obo2b3o
2b3o2b4o2b4ob2o2b3o3b2ob2o2b4ob5ob2o$ob2ob2o2bob2ob2ob3o2b2o4b7o4bob2o
b6o4b3o2bo3bob2ob2ob3ob4o3bo3b3o2bob3obobo2b3o7b2o2b2o5b2o2b5o2b2obob
o5bobobo4b2obo2bo3bobobob2obob3o4b2o2bo2bo3b4o2bo$bo2b2o2bo2bobo4b2o3b
o3bob2o2b2o2b5o2b5o2b4ob4obo6b7o2bob2ob3obo3bob2obobo2b4ob2obob3ob3ob
obo4bob6o3b2o6bo2b3ob6o3b2o2b4obobobo3bo3bo2bo3bo3b4o3bo$obob2obo3b2o
bo3b3o7bob4obo2b4ob2ob2o2bo4bobo3bob3ob5obo2b2o2bo4b2o6b3o3bob2ob5ob2o
bo2bo2bobob2obo2bob4ob2o2bob2o2b2ob2o2b6o2b2o2b3ob3o3b3o2b4o2b6obob2o
bo$3obob6o2bo3bob3o2bob4obo2b4obobobob4obo4bob2obo4bobobo3bo3b9o4b6ob
3o7bobobo2bo4b2o2bo3b3ob3obo2b4obo3bob5ob3obo3bo2bobob3o2b4ob2o3bo2b3o
bob2o2bo$b2obobo2b4obo2bobob2o5b3ob3obobobob2obobo3b7o4b2obo3b4obob2o
3bob2o2bobobob2o2bob3obob2o3bo3b4obobo2bo3b3o2b4obo2bo2b3ob5obobo2bo2b
2o6bo4b3o5b2o3bo2b4o2bobo$2bobob6o3b2o2bob3o2bob5obobo5b2o4b3o3b3ob2o
bob3o3bob4ob3ob3ob3obob2obo3b2o4bobobo4b3o2bob3o2bo4b9o2bo2b2ob3obo3b
obo4bobobobo2b2ob8obobobob3o2bo3bo$3o3bo2bo3b4ob2o5b4ob2o2bobo4bobob3o
bob2obo3bob2o2bob3obo4bo2bo4bob3o3bo3b3obo3b2o2b2ob6o3b2ob7o6b3o3bob2o
bo4b3o2b4ob3o4b2o3b2obob2obob4o5bo3b2obo$bo5b4obobo2b3o2bo4bo2bo4b3o3b
2o2b2ob3obobob3o2b4ob2obobo2bo2bob2ob3o2bo3b6o2b4ob4obo3b5o6bo4bob2o2b
2obob2o2bo5b3obob2ob2ob2obobo2b2ob2ob4obo5bob4ob3o$2bobob2obobobo4bo3b
3ob2o2b5o4b2o3b2o2bob2o3bob2o2bo2bob4ob3ob2obo5bobo4b9ob5obob3o4bo2bo
b3obo2bo2b2o3bob3o2bob3o2bob2o2bo2b3o6b3o2b3o2bo2bobob2o3b3o3b2o$2bob
o2bob5o2bobo4b3o7b3o2bob7o2b3o2b4o3bo4b3ob3obo3bo2bob4ob7o2bobobo3b3o
6b3o3bo4bobo3b5o2b2o2b2obobobo3b3o2b2o3b3o2b5o2bo5bobob5o2b2obob2o$3o
bobo2bo5b2obo2bob3o9b2o2b3obobob2o2b2o3b2o9b5o2b2o2b2o3b2ob2obo3bo2b3o
2b2o2b2o2bo2bo4bo2b2ob2ob3o2b2o3b3o2bobobob2o2bobob3o3bo2b2ob2o2b4o3b
4o3b3ob2ob3ob4o$8bobob5ob2o3bo2b3o2b2o3b5o3bo2bo2bob2o2b5ob4ob2ob2obo
4b2obob2o2b3o5bob3ob2o2b2o3bobo4bobobo3bob2o2b3o2b3obo2bobob4o2bobo7b
2o2b7obo2b2o2bob3obo2b2o3bo2bo$2b2ob5ob2o2b2o4bo2b3o2bob4o3bo2b4ob2ob
ob2obobo2bob2obobo6bobo2bo4bo2bobo3b2o2b3obobo3b3ob3o2bo3b4ob4o2bob5o
bo2bo2bo2b3obo3b2o2bobobo3b4o3b2obo5bo2bob4obo2bo2bo$2b3obob2o3bo3bob
o2bo2b2ob6ob2ob2o2bob2ob2obo2b2obo2bo3b3o2b2o6b2o4b2obo2bo2b2o2b3obo3b
6o2bobob2obobo3bo4bobo4bo2bobo2b3ob4ob6o3b2o4bo2bob3o2bob4obo2b4o3b4o
$o3b2o3bo2b2o2bob3o3bobobo2b2obobo4bob3obo4bobob2obob3obob2o3b3obobo2b
o2bo2bobob3obobo3b2obob3ob3obo2b3ob2obo2bobob4o4b4o4bob3o2b2o3b7o5bo2b
5o2b3o2b2obo2bo2b3obo$o2b2ob3obob3ob4obo3b3o3b2obob7o2bob3obobo2b2obo
5b2o2bo2b2o4b2o2bo4bo2b2obo2bobo2bo4bo5b4ob3o2bo3bo6bo2bob3o3bo3bo4bo
2b4o2bobobobobob3obo4bo3b5o4b4o$2o6b3ob3ob4ob3obobo2b2obo2bo2bo12b4ob
3ob3o6b2o3b3obo6bo2bo6b2obob2obobobo2bo3b3obo3bob4obobo2bo2b3o2bo8b6o
bo2bo2b2o4bobob2o8bo5b2o4b3o$3o2b5obob2o2bo3bobobo2b5o3bo2bo4bob2o2bo
bobobo2b4obobob2obob2ob2obo2bob3obobo2b4obobob3o2b3o5bo2b2ob3o4bo2bob
obobobob2obobobo2bo2b2ob3ob6ob4obob3obo2b4o2bo2b2ob2o$o2b6o3bo2b3ob3o
2bobo2b3obob2o4bo2bo3b2ob3obobo2bo5bobob2ob3ob2o2bo2bob5ob2o2b5o2b4o3b
o5bo3b4o2bo5b5ob3o3b2o5b8o3bo2b3o2b7obob2ob2o2bo5bo4bo$2ob4obobo2b3o2b
obobo8b6o5b2o2bob3o2bo2bo2bo3b3ob2ob2obo2b2obo2bob2o3bo2bo2b2o5b3obo3b
ob3ob2o4bo3b5obo2bobob3ob3ob4obobo4b3o2bobob2o2bo2b2obo6b2obo3b2ob4o$
o3b2o2b2obobo3b7o3b2obo3b2ob2o7b4ob5o5b3o2b2o4b3o2bob2o3b3obobobob2o3b
ob3obo2bo2bo2b3o5b2o4b7ob3o2b3o7b2o2b2o2b3o2b2o2bobo2b4o4b3o3bo2b3ob3o
b2o$o3b2obo2b2ob8o2b3o3b2o2b4o2b4o3b4o8b5o2bo2bo3b6o2bob3obo3b3ob2o3b
o3bob4ob2obobobo2b2o3b3obob4ob2o5bob2obo6bo3b3obob2ob2o3bob2obob5o2bo
bob3ob5o$2o2b2ob4o2b2obobob2o5b2o3bobo2b2o5b2o2bobo17b2ob2o5bo2b2o2bo
bo3bo2b2ob4o3bo4bo6bob2o3bo2bo5b4o3bobob4ob3o3bob2ob5o5b2ob2obob2ob3o
b2o2b3o2bo2bobo$bobo2bobo2bo4bo6bo2bo2b2o3b2obo3b2o2b2o3bo2bobo5bo2bo
bob3ob4o3b4obo2b6o2bob4obobobobob4o2bobo2bobo2b2o4bob2o3b3ob2o2b2ob3o
bo3bob4ob2obo2bo4bo2bo3bo3b2o4bob2o$o3bo2bo2bob2ob2o3bo3b5ob3o4b3obob
obo2bo4bob2o4b2obo2bob2o3b5o2b2ob3o5bo3b2o3bo3bob7ob4ob2o3bo2b2o2bobo
3bo4b2obob2ob4ob4ob2ob3o6b3obo3b2obo2b2obo6b2o$5o4b4ob2o2bobo2b2o2bo2b
3obobo5b2o2bo2b3o2bo3b2obob2ob3o4b2obo2b3ob3o2bob2o6bob2ob2ob3o2bobo2b
o2bobob3o3bo3b3obo2b4ob2o2b2ob2obo4b5o2b4o4b2ob2obo2b2ob4obo2b4o$4b2o
b2o6b2ob3obobobob7o4bo5b2obobob2o3b6o2b3obobobobo2bobo2bo3b2ob5o3b3ob
o3bob2ob2o5bo2bo3b2o3bob3o3b4o8bo2b3obobo2bo2bobobobo3b3obo4bobo3b7o2b
o$b2obob2o4bob4ob2ob6obobo3bobo2bobob6o3bob4ob5o3b3o3b3ob3obobo5bob2o
bobob11obo2bob3o2bobo2bo2b2ob2o2bobo3b10o5bobo4b2o4b2o3b2o2bob2ob2obo
b9obo$o2b2o3bob3obo5b2o2b3obob2ob2o2b3o2b3ob2obo2bob3ob6o2bo5bobobo7b
obobobob5obo2b3obobobob6obo2bobo2b2obob3o2b2o2b2ob2o6b2obo2bo3b3obob2o
b5obo3b3o4bobob4o2b2o$b3o2bob2ob4o6bo3b3o3bo6b2o3b5ob2ob2obob3o2b2obo
5bob2ob3o3b5ob2o3bo2bob3o5bob4ob2o3bo2bo2bobob2ob2o5b2o2bobobo3bo2bo4b
obobob2o4bob3obob2obobo4bobob2ob2o2bo$4o2b4obo5b2o3bobob2obo3bo2bo4bo
2bobo2bo2bobobobo2bob2o4bo5b3o9bob2ob2o2b3o2bob5ob2o7b2o3b8o3bo2b6obo
b2obo3b2obo5b4o5bo2bo2b3ob2o2bo3b2obo2b5o$3o3b2o4bo2b2obo6bob3o2b4o2b
obob3o4b2o5bobobob3o5b2ob3ob2o4b2ob2o4b2obobob2ob2o2b9ob7obob3o3b4obo
b7o3b4ob2obobob4o2b2obobobo3bobobo2b3o2bo2b2o2bobo$b3o2bo2bo3bo2bo2bo
6bob3o2bo2b2ob2o2bob2o2bob3obob4obob2o2bo2bob3ob4ob5ob2o2b2o2bobob2ob
ob5o3b2o6bo2b2obo6b2ob4ob2ob3obob4o3b2o2bo2bo3bo9b2obo2bo3b4ob3o2bo$6b
obobo2b2o2b6o5b2o2bobo3bo3b6o2b2obob6ob2o2b3o5b8ob2o3b2o2b3obo4b2obob
obo2bo7bob5obo6b6ob3o2b3o6b5o4b3o2b3o2b4o5b3ob3ob3o3b3o$2o3bob3ob2o2b
6ob4o2bob6ob4ob3obo4b2o2b5ob2o3bob4o2b4o2bo2bo6bobo3b4o4b4obob2obo3b3o
bobobo3b2ob8ob3ob3ob4o4b2o3b6obo3bo2b2obobo2b2ob3o2bobo$3b2o3bo3bob9o
b3ob2o2bobo4bob2o4b3obob2obo4b3o4bobo3b8o7b2o2b2obo5b2o2b4o2b3obobobo
3b3ob3ob5o2bo2b4o2bo3b2obo2b3o4b2obobo2bo2bob2o3bo2bo4b2o2b2ob2o$4bob
obob2o2b5ob3o3bo3b4o2bobo5bo2b3o2b2ob4o2bobo4b3obob4o5bo3b2o2bo3bo5b2o
bobo2bobo2b2o2bo2bob2ob3ob2o3bob2o3b2o2bo2b2o2bob2o2b2o2b2ob2ob2ob3o2b
2o3bo2b2o6bob3obo$bobobobob4ob4ob3o2bo2b7o2bo3bo2bobo2b2o4bo2b4o4b2ob
2o2b4obo2b3o2bob3o3b3o3bob2obo3bob2ob2o2b2o2bob3o4bob2ob2o3b2ob2obo3b
obo5b2obob3ob4ob4o4bob6obob3o2bob2o$3ob2o2bob2o2bo2bob2ob3o3bob3obobo
bo2bob3obo2bobo5b2ob2o4bobo3bo2b2o4b3ob3obo3bobo6bo5b2obobobo2bo4b2o2b
o5bo2b3obobobob2ob2ob3ob3obo3b2obobob2obo2b2obob3o3bo3b3o$2o2b2obo6bo
3bob2obo3b2o2bob2obo3b7o2bo3b2obo4b4o5bobob2ob3obob2o4b2ob3ob3o3b3o2b
3obo2bobo4bo3b3o2bo5bo2b2o2bob4obo2bo2bo2bob4o3bo3b2o2b2o4b2o3bob3o2b
4obo$obo2bo2b3ob3ob3ob7ob2ob2ob3obobo2b4obo3b3obo2b2o3b4o3b3obo4b6o2b
3ob4ob4ob5o3b4o2bo2b2o2bobo5b2o3bo3b2obo2b3ob3o3b2ob3obo3b2ob3ob3o2b5o
2b2o2bobo2b2ob2o$4b3o3b6o4bo5bo2bob5o2b5ob2obob5o3bo2b2ob2ob2ob3o3b2o
3bo2bob2obobo3bo2b3ob2o4bo2bobo3b3o6b4o2bob2o3b3obo4b3o2bob2ob2ob3ob4o
b2ob3o7bob2ob2ob2obo4bo$2o4bob4ob5ob2obo3bo5b2obob2o2b2obo3bob2obobob
o7bob2o2bob3o4b2o2bo3b3obob3obo2b3o2bo5b3o3bobo2bo2bob2ob2o2bo2b6ob2o
b4obo2bobob2o2bobobob4ob4obob4obo4bo3b4o$3b6obo2b2ob6ob4ob2o6bob6o3b2o
2bob4ob3o2b4ob3o2bob2o2b2obob6ob2ob5o3b2o4b2obo4b2o3bo2bobobobo2b2o2b
3ob2obo2bobo2b2obob3ob2o2b2obob4ob4ob5obo2bob2o2b2o2bo$ob3o3b3o2bo3bo
2b8o3b4obobob2obob3o3b4o2bo3b2o5bo2b5o2b2ob3o6b2obo2bo2b2o2bo2b2ob3o2b
ob2ob4o2b2o3b3o3bo2b2o2bobobobo2bobob2obo4b3ob3ob2obo2bo3bobo2b2obob3o
2b3o$o2b2o5bob2o3b2o2bo2b3o4bob3o2b2ob4obo3b4o2b4o3bob2obo2b4o5b7obo4b
o4bobo2bo2bob2ob2o3b3o5b3o6b2ob3obo2bo3bo4bo2bobob4o2b2o2bo3bo3bo2b3o
2bobo2b4obobo$bob5o3bobob5obob2ob3o2bob5ob4o5bo2b2o5b4o4bo2b4o2bob2o2b
obo6bob3o2bob2o3b3ob4obo3bob2o2b3obo2bo3bob3o2bo2b2obobo3b2o2b4obob2o
bo2b6o4b2ob10o2bobo$b2o2b3ob2obobobo2bo3bob2ob2o2b5o2bobo3bob2obo2b3o
b3o2bobobob3o2bo3b2o3bo3bob2ob5o5b4obo4bob2ob2obob2ob4obo2b2o4b3obo7b
3obo2bo2bo4b2ob2ob2ob4obobo3bobob2o2bo4b2o$obo3b3o4bo5b2obobo2b2obob2o
bob2o2bob3o2bo2b3ob4ob2ob7ob2ob3obob5ob2obo7bo4b2o4bobob2obo6bo2bob2o
b2ob5o3b5ob4ob2o2b5ob2o2b3o5bo2b3obob2obo2b2o3b2o2bo$o2b2o4bobobobo2b
ob2o2bobo3b10o2bobobo2bobobo2bo5bo2bob2o3b3o3b3obo2bob2o2bobo3bo2bo2b
2obob3ob5obobo3b2o3bo3bobo2bob3ob5o3bo2bo2b3obo3b3obob4o2bo7b2obobobo
bob2o$ob5o2bo2bobob3o2b4obo6bo2b5obob2ob5o3b3obo4b3o2b3o4b2o2bo3bo3b2o
bo5b3obob5o5b3ob2o11bobo6b9ob2obob2o6b4obobo3bob2obo2b2obob3o2b2o4bob
o$3o2b3obobo3bob2obo4b2ob2o3bo2bob2ob3o3bob2o4bo2b2o2b2o3bobo2bobob5o
2b6ob2o2bobo2b3o2bo3b3o2b3o2b5obo4b2o5b5obobob2o4bob2o6bobo3bob4o2b3o
bo2bo4b5obo$obo3b3ob3ob2obob3ob2ob3obobobobo3b2o2bo2bo2b3obo2bobo2bo2b
o6b3ob2o2b2obo2bob4obo3bob8ob2obo3bo3b2obo2bob2ob3obobob3ob4obo2bob3o
b4obo2b2obo2bo3bobob3ob2o2bobo2b2obo2bobo$2b2obo2b2o2bob5o2bo4bo2b2o2b
3o2b3o4bo2bo2b2o2b5ob2o2b2o7bobobob2ob2o5b3ob2o2bob5obo5bobob6o3b2o5b
o2b3obobo3bo3bo5bob3ob2o7bo2b8ob2ob4obo2bo2b4o$3o2bobo2bo2b2ob2ob6o4b
o2bo2bo4b2o2b2obobo2bob4o2bo2bob2ob6obobob4ob3obobo3b2o3bob2o2b5o3bob
o4b2obob2o4b2ob2o2bo2bo2bob2ob3o2b2ob5o4bob2o2bobob2o2bo3b3o3bob3o2bo
$o2b2o4b5o2b4o4b2o2b5ob2o2bob2o2b3o2b3ob2o5b2obob3o2b3o4bo2bo3b7obo13b
4o3bobobobo3bo4bobob3obobo3bob2o2b3obobo2b3o6bo2b3o2b2obob3ob2o3bo2b2o
bo2b3o$3o2b3ob3o2b5o3bo2bob2o3b2o4b2ob4ob4o2bobobo3bo2b2o8bo3bob2o6bo
bobob4o2bo2b2ob2obo9bo2bobo3bo4b5ob5obob2o3bob2obo2bob3o2b2ob2o4b2o2b
ob2o4bo2bob2ob2o2bo$obobo3bo4bob2ob3obo2bo2bob2o5bobo2bo2b6o4b2obobob
o2bo2b2ob4o2bo2b3ob2ob3ob2o3b5o2b2ob2ob2o6bobobobobobo3b4ob4ob3o2bob3o
2bob7o2b4obo3b3ob3ob2ob2ob2ob2o3b3obo$2b2obob2o2bo8bo2b2ob4o2bobo4bo2b
o3bo2b2obo2b4ob2o2bo2b3obo2b7o3bo6bo11b6o2bobo2b2ob4o2b2obobo3bob2obo
bobo2b5ob2o2bobobo2b4o2bob2obobo3bob4o3bo2bo2bobo$2b4ob3obobo2bo4b5ob
2o6bo2bo2bob2ob2obo2b2obo4bo2bo6bo2bobo2bo2b2o2b3ob2obo4b5ob7o2bo4b5o
2bo3b2o4bo4bo4b3o2bo4bobo2b2ob3obob3obobo2b2obo3bob2obob2o2b3obo$bobo
2b7ob3o2bobob3obob4ob3obob3o3bo2bo2b4ob2o2bo6bobo2b2ob3obo2bo2bobobo4b
obo2bobob3obo2b2o2b2o4bob2ob2ob6ob2ob2o2bo2b2obob4ob2ob2o3bo2b2o2bobo
2bo3b2o2bo2b2ob2o2b6o$ob2ob2obob3o2bob7obo6b3o3b2o2b3o2bobo2b5ob2obob
2o3bob5o2bo2bo2b2ob2o6b2o5b3o3bobo5b5o2bobob2o3b5ob2o4bo2bobo2bobo3bo
3b2obob3obob5obo2bobo2bo3bobobo2bo$b2ob2o2b2o2bo2b2o4bo2b2o2b3ob2o3bo
2b2ob3ob2obo2b4o7b4obo8bo3b5obo2bo3b2o2bo2bo4bo2b4ob5obo2b3obob3o2bo2b
3obo4bob2o2b3o2b3obo3bob2o3b2o3b2obo2bobob2o2bob5o$bo2b2o2b7ob6obo2b4o
3bo2bobo4b2obo2b2ob2o5b5o2b2o2bo3bob3ob2o2b2obo3bob6o5b2obo3bobo5bo2b
2o3b4ob2o2bo2bob3o4bobo3b2o4bo2bobob3obob3ob2obob2obobobob4ob2obo$4ob
3ob3o7b2obob6obobo6b5o9bobo2bo3b3ob7obobo2bo4bob4o4b2ob8obobobob5o5b2o
bo5b2obo2b3obobo4b2o2b2o3b3ob3o4bobob3o2b4o2b2obobo2b3o3bo$o2b3o3b6ob
ob6o2b3ob2o2bobo3bobo3bobo3bo2bo4bob8o2b2o2b2obobo7bo3b3obo2bob2o2bo4b
o2bo3bob2obo2b4obob2obo3bo4b2o4bo13bo2b2obo2b4o2b2o2bob3obob5ob2o$2o2b
3obo2b2obo2b4obo3bo3bobo4bo3bo2bo2bob3o2b3o4bobo3b2obo2b2ob2o3bob3ob4o
2b3ob3o2bo2bobo2b4obob3o2bo3bo4b2o2b2o7bo2b2ob2o2b5ob3o2b2o6b4o2b2o3b
obob2o2b2ob5o$4bo3b3o3bo3bo2b2obo2bobobobo3b2ob2ob2obob3obobob4o2b7ob
obobo2b4ob5o2bo3b3o2b3ob3o2bo7bob3o2b2ob2o2b4ob3obobobobo3bobo2b2ob4o
b4ob3o2b3o2b2o3b2obo2b6obobo$bo3b2o2bo2b2o3b2o2b2o3bobo3b5o2bo2b4o3bo
2b2o4b2obobob2o2bob3o2bo4b2ob2o2b2obo2bo4b2o2b2obobo3b5ob3ob2ob2o2bo4b
3obo2b2o3bo8b2o4bo2b6obobo5bo3b3ob2ob2o3b2obo$3ob4o8b4obob2o2b4o2bo2b
ob4o2b4obo7bo3bo4b3o4b2o5bo3b3o3b3obo2b3o2b5o2bo2bobo4bo2bobobob2o2b4o
4b3o5bobo2b2ob5obo2b3o2b3o3b2obo4b2obo2bo2b3ob2o$bo4bob2o2b4o2b3o3b2o
bo2bo4bo3b2o4bo6b2ob3ob4o2bo3b2ob3o3b4ob5obobob2o2bo4b4o7bobobo2b2ob2o
b4ob4ob2o7bobobobob2obo2bo5bob5obo2b3ob2obob2ob5obobo2bo$b2o4bob4ob3o
bob2obobo5bo5b2ob3o3bo2bobo4bob3o4b3o5bo2bo10b3o2bobobob3o6bob2ob2ob2o
bob2ob2ob4o2bob2o5b4o2bo2b3o2b4o3b2obob2o4b4o2b4ob3o3bob6o$b2ob2o2b2o
2bobob3obob4o2b3o4bob2ob4obobo2b2ob2obo2b2ob9o3b2o2bob3o2b2ob2ob3o3bo
b2o2b4obob4obob2o3bo2b2obo2b3ob2obo2b2ob5obo2bob4ob3obo5bob6o2b3o2bob
obo2bo2b3obo$o3bo5b2ob2obobob2ob3o3b4o5b5ob7o2b3o5bobo3bobo3b5o4bob2o
b2obo2b2o3bob2o4b4o2b2o5bo2bo2b5o2bo3bobobobob2obo2bo2bo2bo2bob5obo3b
o3b4o2b3o3b4o2b2ob3o$6ob2o2bo4bobo2bob5o3b2ob3o2b2o6b10obobob2o2bo5bo
4bo3b5o3b2o3bo4b3ob3o3b2obobo4b2o5bo2bo2b2o3bo2bo4bo2bobo2bo3b4o4bo2b
obo2bobob2o2bo5bo3bob7o$o2b2ob4o2bobo2bo2bo3bo3b6o2b4obob2ob3obo2b6ob
2obo2b3ob4obo2bo4b3ob2o4bo3bo4b2ob2obo3b2o2bo4bo4b3obob6obobo4bo3bo2b
ob2ob3obo2bo2b2obobob4o6bobob6o$obob3ob2obo3b2ob2o3b3obobobobo2bo3b2o
3b4o2bo3bo3bo2bo3b2o2bob2o2b3o2b3o2b2o2bo3bo2bo2b2o3b3o2b4obobo2b2obo
2b2o2b2o3bo3b2o4b4ob3obo2bo2bo3bo2b7o4b2o2b7o2b2obobo2bo$4o2b2o2bobo3b
o3bo2b3ob3ob8o2b2o2bob2o3bobob2obo3bobo3bo2bob3o4bobo3b2o4bo2b2o2bo2b
2o2b2o3b6ob3obobob2o2b3ob2obob3ob3ob3o2bo2b2obobo4b4obobo2b2obo2b2o5b
3obobobobo$6ob7o3b6obob5o2b2obo6b3ob2o5b3ob2o3b3obob2o3bo3b2o3b3ob2ob
5ob2ob2o3b6o4b2o2b2ob3o4b2o6bob2o3bobo2b2ob2ob4obo4bob2ob2obob2o2b2ob
ob2o3b2ob4obo$b4o3bo4bobo5bo2bo5bob5obob2o2bob4obob2obo6bobobo2b3o2bo
bobobobob2o2b3o2bobob3o3b5ob2obo2bob3ob3obobo2bobo2bo3b4obob4o3bob5o2b
2o6b5ob3ob3o2bo3bo2bo3b3o$b2ob6obo3bo4bo5b2o2bo12b3obob2o2b3obo2b2o5b
2o6b2o2b4obo2bobo4b2o3bobob2ob2ob5ob3ob3o3b2o2b2ob3ob2o2b6ob5obo3bo2b
obo6b3o4bob2o6b2o2b2o2b2o2bo$2bo8b2o2bobo3bob2ob2o4bo2b3o2bo2bo3b2o2b
3ob3obobobob2ob2obo3b4ob6obobob2o3b2obob2o2bob5ob3o2bobo5bo2b2ob5obo4b
2obobob2o4b2o5bob2ob2obo3b2o3b3o2bo2b5obo2bo$o2bo2bob4obobo2bob2ob4ob
3o5b2obobo3b2o2bo3b3ob8o2b2obobo2b3ob4obobo2bo2b3obo3bo2bo2bob4obob2o
2bob3obo2bobobo5bobobo4bo3bobo7b2obobo2b6o2bo3b3obo2bo3bo2b3obo$2bo2b
3obob3ob3o2bo2b2obobobo2bob2o5b3o2b2o2bo2bobo2b4obobo3bobo2bob4o3b2ob
o2b2o4b9ob7o3bo3b2ob8o2bob3obo2bo2bo4bobobo2bob3o3bobobobo3b3o3bob2ob
2obo2b2ob5o! [[ ZOOM 2 LABELT 127 9999 0 LABEL 119.5 18.5 1.5 "O" ]]

Posted: **October 7th, 2022, 2:07 pm**

I ran 30 more soups, and no snakes showed up. Since a 200*200 soup can fit 144 16*16 soups inside it, it doesn't seem very common.

Posted: **October 19th, 2022, 11:51 am**

Are there INT rules with a 2G -> 2G collision such that the two resulting escaping gliders travel on the same lanes in the same directions as the two colliding gliders? This might be two questions, separately for the 90-degree case and the 180-degree case.

Edit 1 (2022-12-17): although this does not answer the question, here is a 2G -> 1G collision where the output glider travels on same lane but delayed by 18 ticks:

Code: Select all

x = 88, y = 61, rule = B34c5ky6a8/S234cz5r6i8
o52bo29bo$3o48b3o27b3o$3bo46bo29bo$2b2o46b2o28b2o8$41b2o28b2o$42b2o28b
2o$10b2o4b2o23bo29bo$10bobo3b2o$11b2o37bo3b2o24bo3b2o$5b3o4bo33b3o2bo
2bobo19b3o2bo2bobo$4b2ob2o37bo2bobo2bob2o18bo2bobo2bob2o$4bob3o37bobob
5obo19bobob5obo$5b2o44b2o2bo25b2o2bo3$3bo$4b2o$3b2o2$46bo29bo$44b2o28b
2o$45b2o28b2o10$19bo$20b2o$19b2o2$30bo29bo$28b2o28b2o$29b2o28b2o10$17b
obo$17b2o$18bo2$44bo$42b2o$43b2o!

Posted: **October 24th, 2022, 12:11 pm**

confocaloid wrote: October 19th, 2022, 11:51 am Are there INT rules with a 2G -> 2G collision such that the two resulting escaping gliders travel on the same lanes in the same directions as the two colliding gliders? This might be two questions, separately for the 90-degree case and the 180-degree case.

Here's one:

Code: Select all

x = 10, y = 3, rule = B34n5j/S2-n34q6a
3o4b3o$2bo4bo$bo6bo!

It might be interesting to mess around with this rulespace to create something interesting.

Posted: **October 24th, 2022, 7:40 pm**

Period1GliderGun wrote: October 24th, 2022, 12:11 pm
confocaloid wrote: October 19th, 2022, 11:51 am Are there INT rules with a 2G -> 2G collision such that the two resulting escaping gliders travel on the same lanes in the same directions as the two colliding gliders? This might be two questions, separately for the 90-degree case and the 180-degree case.
Here's one:
Code: Select all
x = 10, y = 3, rule = B34n5j/S2-n34q6a
3o4b3o$2bo4bo$bo6bo!

In this example the resulting gliders travel in the opposite directions from the colliding gliders; this can be made into an OMOS:

Code: Select all

x = 10, y = 18, rule = B34n5j/S2-n34q6a
3o4b3o$2bo4bo$bo6bo13$bo6bo$2bo4bo$3o4b3o!

I was looking for examples where the output gliders travel in same directions as input gliders (the timing does not matter) - e.g. there might be a 90-degree collision working as a delay for both gliders. I imagine it could be interesting to look at long-lasting reactions of this kind.

Posted: **October 25th, 2022, 2:14 am**

confocaloid wrote: October 24th, 2022, 7:40 pm
Period1GliderGun wrote: October 24th, 2022, 12:11 pm
confocaloid wrote: October 19th, 2022, 11:51 am Are there INT rules with a 2G -> 2G collision such that the two resulting escaping gliders travel on the same lanes in the same directions as the two colliding gliders? This might be two questions, separately for the 90-degree case and the 180-degree case.
Here's one:
Code: Select all
x = 10, y = 3, rule = B34n5j/S2-n34q6a
3o4b3o$2bo4bo$bo6bo!
In this example the resulting gliders travel in the opposite directions from the colliding gliders; this can be made into an OMOS:
Code: Select all
x = 10, y = 18, rule = B34n5j/S2-n34q6a
3o4b3o$2bo4bo$bo6bo13$bo6bo$2bo4bo$3o4b3o!
I was looking for examples where the output gliders travel in same directions as input gliders (the timing does not matter) - e.g. there might be a 90-degree collision working as a delay for both gliders. I imagine it could be interesting to look at long-lasting reactions of this kind.

This kinda looks like a glider-block cycle, but without the block and with the gliders returning on the same lane.

Posted: **October 26th, 2022, 8:10 pm**

I saw this users profile image, and it shows this interesting rule, but I couldn't figure out what the rule was:
memberlist.php?mode=viewprofile&u=131

anyone recognize it?

Posted: **October 27th, 2022, 1:22 am**

I could have sworn it was in a post on the soup results in other rules thread, but I couldn't find it. It's this:

Code: Select all

x = 7, y = 4, rule = B3/S2456
o3b3o$bobo2bo$ob3obo$bobobo!

Posted: **October 27th, 2022, 9:18 am**

Terminology question: Is a breeder any quadratic growth at all, or does it have to have regularity? I personally wouldn't call a random soup in Seeds or DryLife a breeder, but I don't know if it qualifies.

Posted: **October 27th, 2022, 9:21 am**

hotdogPi wrote: October 27th, 2022, 9:18 am Terminology question: Is a breeder any quadratic growth at all, or does it have to have regularity? I personally wouldn't call a random soup in Seeds or DryLife a breeder, but I don't know if it qualifies.

I'm pretty sure it has to be a moving pattern that constantly generates linear growth.

Posted: **October 27th, 2022, 9:38 am**

breaker's glider gun wrote: October 27th, 2022, 9:21 am
hotdogPi wrote: October 27th, 2022, 9:18 am Terminology question: Is a breeder any quadratic growth at all, or does it have to have regularity? I personally wouldn't call a random soup in Seeds or DryLife a breeder, but I don't know if it qualifies.
I'm pretty sure it has to be a moving pattern that constantly generates linear growth.

No, there are other types of breeders, like SMM(rake guns), SMS, SSM, and SSS (pianola breeders)

Posted: **October 27th, 2022, 10:05 am**

ihatecorderships wrote: October 27th, 2022, 9:38 am
breaker's glider gun wrote: October 27th, 2022, 9:21 am
hotdogPi wrote: October 27th, 2022, 9:18 am Terminology question: Is a breeder any quadratic growth at all, or does it have to have regularity? I personally wouldn't call a random soup in Seeds or DryLife a breeder, but I don't know if it qualifies.
I'm pretty sure it has to be a moving pattern that constantly generates linear growth.
No, there are other types of breeders, like SMM(rake guns), SMS, SSM, and SSS (pianola breeders)

hmm, whoops I messed up on that one. Okay, something that constantly generates linear growth patterns IG?

Posted: **November 1st, 2022, 3:20 am**

Why is the 22-letter MAP rulestring hexagonal?
What does each letter in MAP rulestring mean?
Can you find a suitable Life-like rule for this task?

Posted: **November 1st, 2022, 5:52 am**

BTS-fan wrote: November 1st, 2022, 3:20 am Why is the 22-letter MAP rulestring hexagonal?
What does each letter in MAP rulestring mean?
Can you find a suitable Life-like rule for this task?

The MAP rulestrings (for 2-state Moore neighborhood) are defined as follows:

For each 9-tuple of states (nw, n, ne, w, center, s, sw, s, se) representing a cell and its neighbors, find the state of the center cell in the next generation;
For each such 9-tuple in lexicographical order, write down the corresponding bit. This forms a 0-1 string of length 2^9=512;
Encode the resulting string using base64, but without the trailing = sign(s).

Note that this yields an alphanumeric string of length ceil(512/6)=86. The analogous process for the hexagonal neighborhood gives a 0-1 string of length 2^7, encoded to an alphanumeric string of length ceil(2^7/6)=22.

Posted: **November 1st, 2022, 5:59 am**

pzq_alex wrote: November 1st, 2022, 5:52 am
BTS-fan wrote: November 1st, 2022, 3:20 am Why is the 22-letter MAP rulestring hexagonal?
What does each letter in MAP rulestring mean?
Can you find a suitable Life-like rule for this task?
The MAP rulestrings (for 2-state Moore neighborhood) are defined as follows:

For each 9-tuple of states (nw, n, ne, w, center, s, sw, s, se) representing a cell and its neighbors, find the state of the center cell in the next generation;

For each such 9-tuple in lexicographical order, write down the corresponding bit. This forms a 0-1 string of length 2^9=512;

Encode the resulting string using base64, but without the trailing = sign(s).

Note that this yields an alphanumeric string of length ceil(512/6)=86. The analogous process for the hexagonal neighborhood gives a 0-1 string of length 2^7, encoded to an alphanumeric string of length ceil(2^7/6)=22.

What about a 6-letter rulestring such as MAPAAD/// ?

Posted: **November 1st, 2022, 6:01 am**

BTS-fan wrote: November 1st, 2022, 5:59 am
pzq_alex wrote: November 1st, 2022, 5:52 am
BTS-fan wrote: November 1st, 2022, 3:20 am Why is the 22-letter MAP rulestring hexagonal?
What does each letter in MAP rulestring mean?
Can you find a suitable Life-like rule for this task?
The MAP rulestrings (for 2-state Moore neighborhood) are defined as follows:

For each 9-tuple of states (nw, n, ne, w, center, s, sw, s, se) representing a cell and its neighbors, find the state of the center cell in the next generation;

For each such 9-tuple in lexicographical order, write down the corresponding bit. This forms a 0-1 string of length 2^9=512;

Encode the resulting string using base64, but without the trailing = sign(s).

Note that this yields an alphanumeric string of length ceil(512/6)=86. The analogous process for the hexagonal neighborhood gives a 0-1 string of length 2^7, encoded to an alphanumeric string of length ceil(2^7/6)=22.
What about a 6-letter rulestring such as MAPAAD/// ?

The von Neumann neighborhood (ceil(2^5/6)=6)

Posted: **November 17th, 2022, 3:37 am**

In 2019, Ian07 made a commit to all-rules.txt that assigned the name "Majority" to b45678s5678 in catagolue, which is not totalistic (B45678/S5678 has B4 but no S3). What was the first source that referred to the particular outer-totalistic rule as such?

It could not be Mirek's rule lexicon, because according to this page "Majority" is an alternative name to Vote, b5678s45678 (and B5678/S45678 is totalistic), and the other use of "Majority" in lexicon is a Larger than Life rule.

Posted: **November 17th, 2022, 6:12 am**

pzq_alex wrote: November 1st, 2022, 6:01 am
BTS-fan wrote: November 1st, 2022, 5:59 am
pzq_alex wrote: November 1st, 2022, 5:52 am

The MAP rulestrings (for 2-state Moore neighborhood) are defined as follows:

For each 9-tuple of states (nw, n, ne, w, center, s, sw, s, se) representing a cell and its neighbors, find the state of the center cell in the next generation;

For each such 9-tuple in lexicographical order, write down the corresponding bit. This forms a 0-1 string of length 2^9=512;

Encode the resulting string using base64, but without the trailing = sign(s).

Note that this yields an alphanumeric string of length ceil(512/6)=86. The analogous process for the hexagonal neighborhood gives a 0-1 string of length 2^7, encoded to an alphanumeric string of length ceil(2^7/6)=22.
What about a 6-letter rulestring such as MAPAAD/// ?
The von Neumann neighborhood (ceil(2^5/6)=6)

Could you give a bit-by-bit explanation?
by the way please don't explain in all English. Long English texts tend to make me nervous. Maybe you can try adding some ひらがな or カタカナ in your post.

Posted: **November 18th, 2022, 5:51 pm**

GUYTU6J wrote: November 17th, 2022, 3:37 am In 2019, Ian07 made a commit to all-rules.txt that assigned the name "Majority" to b45678s5678 in catagolue, which is not totalistic (B45678/S5678 has B4 but no S3). What was the first source that referred to the particular outer-totalistic rule as such?

It could not be Mirek's rule lexicon, because according to this page "Majority" is an alternative name to Vote, b5678s45678 (and B5678/S45678 is totalistic), and the other use of "Majority" in lexicon is a Larger than Life rule.

Not sure. That could very well be a mistake on my part, apologies if so.

Posted: **December 5th, 2022, 6:04 pm**

I have seen some certain rules discussed within a particular rulespace, the rules have RRO Herschels (or Herschel descendants or whatever) that
interact to create strange extremely slow or high period spaceships like in this rule

Code: Select all

x = 91, y = 113, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
6bo$5bo$5bo2bo$3bo3b2o$4bo2bo$4bo2bo$4b3o15$3o$obo$2b2o$obo$obo$2o29$
22b2o$21bobo$21bo$21bo2bo8b2o$22b2obo6b2o10b2o$25bob2o17b2o$25b3o14bo
4bo$26bo14bo2bo2bo$45b2o14$87b2o$89bo$86b2ob2o$85bob3o$82bo4b2o$86bo
26$54b2o$54bobo$48b2o4bob2o$47bobo5b2o$48b2o5bo!

most of these kind of spaceships are all in different (but related) rules. where did these kind of rules originate from? is there a rule which led to the discovery of this rulespace?

ConwayLife.com

Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions

Re: Rules named after Greek letters

Re: Rules named after Greek letters

Re: Rules named after Greek letters

Re: Rules named after Greek letters

Re: Thread for basic non-CGOL questions

Re: Rules named after Greek letters

Re: Thread for basic non-CGOL questions

Re: Thread for basic non-CGOL questions