Thread for basic non-CGOL questions

[silversmith]

Q: What is everyone's definition of "naturalistic"? Specifically as applied to cellular automata. What it means for a CA to be "naturalistic"?

My personal definition would be something like "having a diverse set of reactions between objects". In this sense Glimmering Garden is more naturalistic than CGOL, which is more naturalistic than Single Rotation, then Just Friends, then WWEJ3, then Langton's Ant.

[get_Snacked]

Unfortunately that doesn't seem to explain which CA are considered "naturalistic". That's merely a list of CA families, without any comments/restrictions on the behaviour of the CA.

i usually define whether a rule is naturalistic based on the formal rulespace the rule is in because i'm a perfectionist.

The speed of a SMOS is different from the speed(s) of spaceships out of which it is made.

are you sure? i could have two c/3 spaceships perpetually colliding to form a, say, 6c/18 spaceship, which anyone would consider an SMOS.

[confocaloid]

[...]

The speed of a SMOS is different from the speed(s) of spaceships out of which it is made.

are you sure? i could have two c/3 spaceships perpetually colliding to form a, say, 6c/18 spaceship, which anyone would consider an SMOS.

In that case the two recolliding c/3 spaceships would move in two different directions before interacting, and the direction of the resulting p18 spaceship would be different from at least one of those two directions. Right?

[get_Snacked]

[...]

The speed of a SMOS is different from the speed(s) of spaceships out of which it is made.

are you sure? i could have two c/3 spaceships perpetually colliding to form a, say, 6c/18 spaceship, which anyone would consider an SMOS.

In that case the two recolliding c/3 spaceships would move in two different directions before interacting, and the direction of the resulting p18 spaceship would be different from at least one of those two directions. Right?

yes, so then what's your actual definition of an SMOS? i could have THREE c/3o spaceships like this:

Code: Select all

x = 9, y = 6, rule = B2e3i/S2-in3ij4i
2o5b2o$bo5bo$2o5b2o2$3b3o$3bobo!

and the SMOS would have a possibility of being a multiple of c/3 and moving in the same direction as the bottom spaceship, so would that qualify as an SMOS according to your definition?
EDIT: or you could have two asymmetric recolliding spaceships that form an SMOS which moves in the same velocity and direction as one of the ships that collide to form it.

[confocaloid]

[...]
yes, so then what's your actual definition of an SMOS? i could have THREE c/3o spaceships like this:

Code: Select all

x = 9, y = 6, rule = B2e3i/S2-in3ij4i
2o5b2o$bo5bo$2o5b2o2$3b3o$3bobo!

and the SMOS would have a possibility of being a multiple of c/3 and moving in the same direction as the bottom spaceship, so would that qualify as an SMOS according to your definition?
EDIT: or you could have two asymmetric recolliding spaceships that form an SMOS which moves in the same velocity and direction as one of the ships that collide to form it.

For a spaceship to qualify as SMOS, there must be a phase where it consists of two or more "currently non-interacting" spaceships (and nothing else), moving with at least two different simplified speeds (dx,dy)c/dt. At some time later, those spaceships collide with each other, and the resulting reaction evolves into the same set of "currently non-interacting" spaceships, only translated in some direction by some distance.

I prefer the stricter definition, which additionally requires that each of recolliding spaceships must go through at least one full cycle (all distinct phases) before interacting with any of the other recolliding spaceships.

Here is an example of a spaceship that I would describe as a SMOS:

[...]

Code: Select all

x = 7, y = 9, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
4bo$5b2o$4b2o4$obo$o2bo$obo!
#C [[ ZOOM 8 X 10 Y 10 ]]

Shown above is an oblique (8,6)c/71 spaceship, made out of the two most common gliders borrowed from tlife repeatedly colliding with each other.
[...]

edit 1: clarified "simplified speeds".

[LittleLWSS]

Rule: B3/S234-ajkw

That just CGoL but if a cell with 4 cell in specific pattern will also survive.

Eater1 and Eater2 works normally.

HWSS, MWSS and LWSS works normally.

Glider works normally.

I maded a two-glider-mess easily.

Z-pentomino is a still-life.

TEST:

Code: Select all

x = 3, y = 3, rule = B3/S234-ajkw
2o$bo$b2o!

[Haycat2009]

Code: Select all

x = 20, y = 12, rule = B2a3i/S12
b2ob3o6b3ob2o$b2obobo6bobob2o$obo3bo6bo3bobo$3b3ob6ob3o$8b4o$3b2o10b2o
2$4bo3bo2bo3bo$3bo5b2o5bo2$9bo$10bo!

What 1D rule does the inside of this infinite growth show?

[b-engine]

Code: Select all

x = 20, y = 12, rule = B2a3i/S12
b2ob3o6b3ob2o$b2obobo6bobob2o$obo3bo6bo3bobo$3b3ob6ob3o$8b4o$3b2o10b2o
2$4bo3bo2bo3bo$3bo5b2o5bo2$9bo$10bo!

What 1D rule does the inside of this infinite growth show?

It's plain W90, but have some perturbation.

[ThrashBin]

What does this emulate?

Code: Select all

x = 4, y = 4, rule = B2in3-cek4it5y/S2-in3-acy4ceitz
b3o$o2bo$3bo$2bo!

[CARuler]

it appears to be a replicator

[confocaloid]

BTW, is there a notation for oblique hexagonal ships?

Logically, the following 12 displacements are all rotations/reflections of (5,2):

Code: Select all

x = 15, y = 15, rule = B2/S34HHistory
2.C2.C2$C8.C3$C11.C2$7.D2$2.C11.C3$5.C8.C2$9.C2.C!
#C [[ GRID VIEWONLY ]]

In other words, the angle between the 5-cell displacement and the 2-cell displacement should be 60 degrees, not 120. This is consistent with rotations of (1,1) being shortest possible displacements in the diagonal directions, and with rotations of (1,0) being shortest possible displacements in the orthogonal directions. Further, rotations/reflections of (2,1) are indeed oblique (neither orthogonal nor diagonal).

If the angle was 120 degrees, then (1,1) would no longer refer to diagonal; it would be instead a rotation of (1,0), which is awkward. Also (2,1) would no longer be oblique; it would be just diagonal.

[Yoel]

I completely agree. Now we can use the familiar terminology. I suggest to add the "h" suffix, e.g, this is a diagonal (1,1)c/22h:

Code: Select all

x = 6, y = 5, rule = B2-m3m/S2H
4o$4bo$4b2o$bo$3b2o!

And this a (4,2)c/28h knightship:

Code: Select all

x = 4, y = 5, rule = B2-m4o5/S2-o34m56H
3o$bobo$2b2o$2b2o$2bo!

BTW, is there a notation for oblique hexagonal ships?

Logically, the following 12 displacements are all rotations/reflections of (5,2):

Code: Select all

x = 15, y = 15, rule = B2/S34HHistory
2.C2.C2$C8.C3$C11.C2$7.D2$2.C11.C3$5.C8.C2$9.C2.C!
#C [[ GRID VIEWONLY ]]

In other words, the angle between the 5-cell displacement and the 2-cell displacement should be 60 degrees, not 120. This is consistent with rotations of (1,1) being shortest possible displacements in the diagonal directions, and with rotations of (1,0) being shortest possible displacements in the orthogonal directions. Further, rotations/reflections of (2,1) are indeed oblique (neither orthogonal nor diagonal).

If the angle was 120 degrees, then (1,1) would no longer refer to diagonal; it would be instead a rotation of (1,0), which is awkward. Also (2,1) would no longer be oblique; it would be just diagonal.

[WhiteHawk]

Is this p347 gun from Highlife from the same adjustable-period oscillator family as the p59 oscillator below it, despite the latter being statorless? If so, is the subsequent family (59+96n by my calculations, 347 being equal to 59+96(3)) infinitely adjustable?

p347 glider gun:

Code: Select all

x = 1039, y = 333, rule = B36/S23
682bo$681b3o$684bo$172b3o506b2obo$59b2o100b2o8bo91b2o100b2o100b2o100b
2o100b2o10bo89b2o100b2o$59b2o100b2o7bo3bobo86b2o100b2o100b2o7bobo90b2o
100b2o8bobo89b2o100b2o$169bo306bobo4b2o196bobo$168bo7bobo297b2obobobo
197bobo205b2o$168bo6bo300bob2obo2bo403b2obo$168bobo3bo3bobo204bo89b2ob
obo3bo204bo197b2o2bob2o$173bo206b3o3bo87bo3bob3o3b2o201bo197b4o2b3o$
170bobo7bobo196bo95b5o4bobo202bo198bo4bob2o$179bo199bo105bo402b2ob2o3b
2o$172bobo3bo3bobo194bo2bo2bo297bobo204bo4bo$177bo207bo204b3o89bo4bo$
174bobo7bobo198bo102b2o99bo3bo87b2o5bo$183bo105bo4b2o82bo3b3o104b2o97b
o4bo85b2o4bo2b2o$90bobo4b2o77bobo3bo3bobo10b2o86b2ob2o4bo4b2o76bo23b2o
81bob2o15b2o80bo2bo2bo13b2o71b2ob2o4b2o18b2o100b2o100b2o$89bo2bo4b2o
82bo6bo10b2o84b4o4bo2bo4b2o100b2o81b3o16b2o80bo4bo14b2o73b2obobobo19b
2o89bo10b2o100b2o$89b2o87bobo7bo95bo2bobobo4bo190bo99bo3bo90bobo13b3o
98bo$89bo2bo94bo95bo2bo2bo2b3o293b3o106bo102b3o$90b2o88bobo3bo96b3o
410bo3bobo97b4o$73b2o100b2o8bo91b2o100b2o100b2o100b2o13b3o84b2o8bo91b
2o7bo2bo3bo85b2o$73b2o100b2o5b3o92b2o100b2o100b2o14bo85b2o12bo3bo83b2o
7bo7bobo82b2o6bob2o90b2o$496b3o97bo4bo92bo6bo95b2o8bo$86b2o407b2obo96b
o2bo2bo92bobo3bo3bobo90b2o112bo$494b2o99bo4bo98bo98b2o106b3o3bo$495b2o
98bo3bo96bobo7bobo196bo$596b3o106bo105bo93bo$698bobo3bo3bobo194bo2bo2b
o$96b3o507b3o94bo97bo109bo$95bo3bo404b2o99bo3bo90bobo7bobo198bo$94bo4b
o307bo97b2o97bo4bo99bo103b2o89bo3b3o$93bo2bo2bo308b2o92bob2o97bo2bo2bo
92bobo3bo3bobo99b2o89bo$93bo4bo15bo101bo101bo89b2o10bo81b3o17bo80bo4bo
15bo82bo6bo11bo78bo8b2o12bo101bo$93bo3bo14b3o99b3o89bo9b3o90b3o6b3o82b
o16b3o80bo3bo14b3o79bobo7bo9b3o87b2obo8b3o99b3o$94b3o14bo101bo91bo9bo
95b2o4bo101bo84b3o14bo91bo9bo85bo3bo2bo8bo101bo$111b2o100b2o89bo2bo7b
2o100b2o100b2o100b2o83bobo3bo10b2o84b4o12b2o100b2o$104b3o196bobobo93bo
10b2o200b3o94bo98b3o$103bo3bo194bo3bo95b2o109bo99bo3bo90b3o102bo$102bo
4bo196b2o6b3o87b3o107b3o97bo4bo194bo$101bo2bo2bo204b3o89bo106b2obo96bo
2bo2b4o202b2o$101bo4bo204bo3b2o87b2o104b2o99bo4bo2b2o202b2o$101bo3bo
209b2o88bobo103b2o98bo3bo$102b3o4bo199bobob2o2bo89bo204b3o$95b2o11bobo
13b2o100b2o79b2o6b4o9b2o100b2o100b2o80bo19b2o100b2o100b2o100b2o$95b2o
10bo2bo13bo101bo80b2o2bo2bo2b3o8bo101bo84b3o14bo81b2o18bo101bo81b2o18b
o101bo$108b2o12bobo99bobo80b2o2bobo4bob2o4bobo99bobo87bo11bobo81b2o16b
obo99bobo81b2o16bobo99bobo$122b2o100b2o83b2obo5bob2o4b2o100b2o83bobo3b
o10b2o100b2o100b2o100b2o100b2o$94bo18b2o194b2obo4bobo2b2o196bo106b2o
202b2o$93bobo16bo2bo195b3o2bo2bo2b2o187bobo7bo105b2o202b2o$94bo17bobo
197b4o6b2o190bo6bo106bo$91b3o19bo4b3o192bo2b2obobo105bo81bobo3bo3bobo
106b3o81bo$91bo25bo3bo192b2o111bobo86bo9b2o99bo3bo79bo3b3o$116bo4bo
192b2o3bo109b2o76bobo7bobo7b2o93b2o2bo4bo86bo107b2o$115bo2bo2bo194b3o
111bo79bo13bob2o94b4o2bo2bo86bo88b3o16b2o$115bo4bo195b3o6b2o103b3o72bo
bo3bo3bobo6b3o98bo4bo81bo2bo2bo90b2o27bo$115bo3bo204bo3bo102b2o79bo12b
o99bo3bo82bo23b3o66bo4b2o25bo75b3o$116b3o204bobobo93b2o10bo69bobo7bobo
110b3o83bo22bo74bo27b3o71bo3bo$323bo2bo179bo206b3o3bo14bo3bobo64bo3b2o
27b4o70bo4bo$126b3o196bo96b2o77bobo3bo3bobo122b3o79bo14bo72b3o25bo2bo
3bo70bo2bo2bo$125bo3bo194bo98b3o82bo26bo99bo3bo92bo7bobo66b3o21bob2o
76bo4bo$124bo4bo295b2o72bobo7bobo22b3o97bo4bo92bo6bo69b2obo3bo18b2o8bo
68bo3bo$113b2o8bo2bo2bo295b2o75bo30b2obo96bo2bo2bo92bobo3bo3bobo66b2ob
4o17b2o78b3o31bo87b2o$109bo3b2o8bo4bo298bo69bobo3bo3bobo22b2o99bo4bo
98bo73b2obo2b2o17b2o106b3o3bo86b2o$108bobo12bo3bo376bo28b2o98bo3bo96bo
bo7bobo66bo4bo86b3o35bo$107bobo14b3o368bobo7bobo126b3o106bo69bo4bo30bo
54bo3bo34bo$107bo390bo237bobo3bo3bobo64bo90bo4bo33bo2bo2bo$106b2o78bo
306bobo3bo3bobo138b3o49bo44bo72bobo22bo64bo2bo2bo38bo$185bo3b3o308bo
41b2o99bo3bo47bo3b3o36bobo7bobo154bo4bo38bo$192bo298bobo7bobo39b2o97bo
4bo54bo44bo103b2o53bo3bo31bo3b3o$192bo301bo45bob2o97bo2bo2bo54bo37bobo
3bo3bobo99b2o53b3o33bo$186bo2bo2bo296bobo3bo3bobo38b3o98bo4bo49bo2bo2b
o42bo6bo90bo8b2o$186bo55b3o142b3o106bo44bo99bo3bo50bo45bobo7bo99b2obo$
186bo54bo44b2o98bo3bo96bobo7bobo142b3o51bo54bo95bo3bo2bo$187b3o3bo46bo
3bobo38b2o63bo35bo4bo98bo206b3o3bo40bobo3bo96b4o$192bo46bo46b2obo96bo
2bo2bo92bobo3bo3bobo154b3o47bo46bo98b3o$238bo7bobo38b3o61bobo33bo4bo
92bo6bo58bo35bo63bo3bo90b3o102bo167b2o7bo3bo$238bo6bo42bo64bo34bo3bo
92bo7bobo54b3o35bo61bo4bo194bo168b2o4bo5b4o$238bobo3bo3bobo99b2o37b3o
63bo30bo62b2obo8b2o22b3o61bo2bo2bo374b2ob3o$153bo89bo105bo2bo2bo94b3o
3bo30bo3bobo54b2o11bobo20b4o61bo4bo368bobo6bobo$152b3o85bobo7bobo95bo
30b3o67bo38bo60b2o10bo22bo3bo2bo57bo3bo378b2o$151b2ob2o93bo28bo68bo7bo
22bo3bo66bo39b3o97b2obo57b3o368bobo7bobo$152b3o87bobo3bo3bobo22b3o62bo
3bo6bobo22bo4bo65bo2bo2bo124bo8b2o433bo$153bo16bo76bo29bob2o63bobo5b3o
23bo2bo2bo70bo133b2o194b3o231bobo3bo3bobo$169bo3b3o68bobo7bobo23b2o65b
o3b2o26bo4bo70bo132b2o195bo2bo237bo$176bo76bo25b2o63b2o4b2o28bo3bo63bo
3b3o330bo3bo227bobo7bobo$176bo69bobo3bo3bobo92bo29b3o65bo323b2o11bo2bo
230bo$145bo24bo2bo2bo74bo6bo88bob2o421b2o7b3o3b3o225bobo3bo3bobo$144b
3o23bo77bobo7bo327bo187bo6bo2bo237bo$143b2ob2o22bo86bo292b3o228bo3bo
227bobo7bobo$144b3o24b3o3bo72bobo3bo293bo231bo2bo230bo$145bo17b2o11bo
78bo111b2o182bo19b2o210b3o225bobo3bo3bobo$61bo101b2o87b3o112b2o202b2o
438bo6bo$62bo948bo7bobo$59b3o714bo204bo7b2o21bo$58b4o713bobo198b3o3bo
7bo22bo3bobo$58bo3bo2bo102b2o202b2o202b2o185bo11bo2bo196bo14bobo21bo$
63b2obo101b2o202b2o202b2o184b2o12b2o197bo15bobo21b3o$54bo8b2o108b2o
100b2o100b2o100b2o100b2o100b2o77bobo20b2o100b2o86bo2bo2bo10bo3b2o$63b
2o90b2o16bobo99bobo81b2o16bobo99bobo81b2o16bobo99bobo85b2o12bobo99bobo
91bo14b2o$41bo20b2o91b2o18bo101bo81b2o18bo101bo81b2o18bo101bo84bo2bo
13bo101bo91bo42b2o$41b3o131b2o100b2o100b2o100b2o100b2o100b2o84bobo13b
2o100b2o83bo3b3o43b2o$44bo727bo202bo$43b2o$60bo99b2o202b2o202b2o$148bo
11b2o202b2o202b2o193b3o$147bo3b3o609bo2bo$45b2o107bo608bo3bo$45b2o107b
o399bo209bo2bo$148bo2bo2bo7b2o100b2o100b2o100b2o100b2o100b2o85b3o3b3o
6b2o100b2o96bo$148bo13bo101bo84b3o14bo101bo101bo101bo86bo2bo11bo101bo
97b3o$30b2o99b2o15bo14b3o82b2o15b3o80bo3bo14b3o99b3o99b3o99b3o83bo3bo
11b3o99b3o97bo$31bo18b2o79b2o16b3o3bo9bo81b2o18bo80bo4bo15bo101bo79b2o
20bo101bo84bo2bo13bo101bo96bobo$31bobo16b2o102bo93b2obo96bo2bo2bo195b
2o209b3o213bo$32b2o215b3o97bo4bo195b2o8bo$37b2o211bo99bo3bo90b3o100bob
2o$37b2o312b3o94bo100bo2bo3bo421b2o$443bobo3bo103b4o421b2o$341b3o106bo
102b3o$240bo99bo3bo96bobo7bo100bo$42b2o195b3o98bo4bo98bo6bo101bo$42b2o
19bo68bo106bob2o97bo2bo2bo92bobo3bo3bobo190bo248b2o$64bo66bo3b3o104b2o
97bo4bo99bo194bo3b3o243b2o7bobo$62b3o73bo102b2o99bo3bo90bobo7bobo198bo
251bobo4b2o$28bo109bo204b3o94bo207bo251b2obobobo$132bo2bo2bo296bobo3bo
3bobo194bo2bo2bo251bob2obo2bo85b2o$132bo309bo199bo200b3o53b2obobo3bo
85bo$13b2o117bo300bobo7bobo196bo199bo3bo51bo3bob3o3b2o83b3o$13b2o10b2o
106b3o3bo296bo206b3o3bo192bo4bo51b5o4bobo86bo$24b2o112bo292bobo3bo3bob
o204bo193bo2bo2bo60bo$24b2o8bo403bo404bo4bo$22bob2o403bobo7bobo402bo3b
o122b3o$23bo2bo3bo22bo10b2o366bo412b3o64b2o60bo$27b4o20bobo11b2o360bob
o3bo3bobo473b2o54bobo3bo$27b3o22b2o8bob2o92b2o274bo400b3o72bob2o15b2o
45bo$26bo35b3o71b2o20b2o265bobo7bobo396bo3bo71b3o16b2o36bobo7bo$27bo
35bo72b2o290bo405bo4bo71bo58bo6bo$423bobo3bo3bobo190bo207bo2bo2bo124bo
bo3bo3bobo$430bo194bo3b3o203bo4bo131bo$421bobo7bobo198bo203bo3bo64b2o
56bobo7bobo$73bo350bo207bo204b3o65b2o14bo44bo$72b3o344bobo3bo3bobo194b
o2bo2bo287b3o38bobo3bo3bobo$71b2obo351bo199bo292b2obo45bo$70b2o144b2o
199bobo7bobo196bo291b2o39bobo7bobo$71b2o142b2o203bo206b3o3bo285b2o41bo
$216b2obo195bobo3bo3bobo204bo324bobo3bo3bobo$217b3o195bo6bo541bo$218bo
196bo7bobo529bobo7bobo$80b2o334bo511b2o28bo$81b2o35b2o297bo3bobo505b2o
22bobo3bo3bobo$78bob2o36b2o298bo507bob2o30bo$18b2o58b3o17bo109bo210b3o
504b3o22bobo7bobo$18b2o59bo16b3o108b3o717bo26bo$95bo111bob2o738bobo3bo
3bobo$95b2o113b2o744bo$209b2o736bobo7bobo$89bo847bo12bo$88b3o845b3o6bo
bo3bo3bobo$87b2obo844b2obo13bo$86b2o846b2o7bobo7bobo$87b2o846b2o9bo$
192b2o100b2o100b2o100b2o100b2o100b2o100b2o135bobo3bo3bobo$108b2o82b2o
100b2o100b2o100b2o100b2o100b2o100b2o135bo6bo$91b3o14bo832bo7bobo$94bo
11bobo833bo94b2o$2o87bobo3bo10b2o823b2o10bo3bobo87b2o$2o94bo833bobo11b
o$87bobo7bo832bo14b3o$90bo6bo135b2o100b2o100b2o100b2o100b2o100b2o100b
2o82b2o$85bobo3bo3bobo135b2o100b2o100b2o100b2o100b2o100b2o100b2o$92bo
9b2o846b2o$83bobo7bobo7b2o846b2o$86bo13bob2o844bob2o$81bobo3bo3bobo6b
3o845b3o$88bo12bo847bo$79bobo7bobo736b2o$82bo744b2o113b2o$77bobo3bo3bo
bo738b2obo111bo$84bo26bo717b3o108b3o16bo59b2o$75bobo7bobo22b3o504b3o
210bo109bo17b3o58b2o$78bo30b2obo507bo298b2o36b2obo$73bobo3bo3bobo22b2o
505bobo3bo297b2o35b2o$80bo28b2o511bo334b2o$71bobo7bobo529bobo7bo196bo$
74bo541bo6bo195b3o$69bobo3bo3bobo324bo204bobo3bo3bobo195bob2o$76bo41b
2o285bo3b3o206bo203b2o142b2o$67bobo7bobo39b2o291bo196bobo7bobo199b2o
144b2o$70bo45bob2o292bo199bo351bob2o$65bobo3bo3bobo38b3o287bo2bo2bo
194bobo3bo3bobo344b3o$72bo44bo14b2o65b3o204bo207bo350bo$63bobo7bobo56b
2o64bo3bo203bo198bobo7bobo$66bo131bo4bo203b3o3bo194bo$61bobo3bo3bobo
124bo2bo2bo207bo190bobo3bo3bobo$61bo6bo58bo71bo4bo405bo290b2o72bo35bo$
61bo7bobo36b2o16b3o71bo3bo396bobo7bobo265b2o20b2o71b3o35bo$62bo45b2o
15b2obo72b3o400bo274b2o92b2obo8b2o22b3o$63bo3bobo54b2o473bobo3bo3bobo
360b2o11bobo20b4o$64bo60b2o64b3o412bo366b2o10bo22bo3bo2bo$65b3o122bo3b
o402bobo7bobo403b2obo$190bo4bo404bo403bo8b2o$129bo60bo2bo2bo193bo204bo
bo3bo3bobo292bo112b2o$41bo86bobo4b5o51bo4bo192bo3b3o206bo296bo3b3o106b
2o10b2o$41b3o83b2o3b3obo3bo51bo3bo199bo196bobo7bobo300bo117b2o$44bo85b
o3bobob2o53b3o200bo199bo309bo$43b2o85bo2bob2obo251bo2bo2bo194bobo3bo3b
obo296bo2bo2bo$131bobobob2o251bo207bo94b3o204bo109bo$130b2o4bobo251bo
198bobo7bobo90bo3bo99b2o102bo73b3o$136bobo7b2o243b3o3bo194bo99bo4bo97b
2o104b3o3bo66bo$146b2o248bo190bobo3bo3bobo92bo2bo2bo97b2obo106bo68bo
19b2o$485bo101bo6bo98bo4bo98b3o195b2o$486bo100bo7bobo96bo3bo99bo$483b
3o102bo106b3o$30b2o27b2o421b4o103bo3bobo$31bo27b2o421bo3bo2bo100bo94b
3o312b2o$31bobo453b2obo100b3o90bo3bo99bo211b2o$32b2o444bo8b2o195bo4bo
97b3o215b2o$61bo213b3o209b2o195bo2bo2bo96bob2o93bo102b2o16bobo$60bobo
96bo101bo13bo2bo84bo101bo20b2o79bo101bo15bo4bo80bo18b2o81bo9bo3b3o16b
2o79b2o18bo$61bo97b3o99b3o11bo3bo83b3o99b3o99b3o99b3o14bo3bo80b3o15b2o
82b3o14bo15b2o99b2o$62b3o97bo101bo11bo2bo86bo101bo101bo101bo14b3o84bo
101bo13bo$64bo96b2o100b2o6b3o3b3o85b2o100b2o100b2o100b2o100b2o100b2o7b
o2bo2bo$271bo2bo209bo399bo107b2o$271bo3bo608bo107b2o$272bo2bo609b3o3bo
$273b3o193b2o202b2o202b2o11bo$469b2o202b2o202b2o99bo$994b2o$63bo202bo
727bo$13b2o43b3o3bo83b2o100b2o13bobo84b2o100b2o100b2o100b2o100b2o100b
2o131b3o$13b2o42bo91bo101bo13bo2bo84bo101bo18b2o81bo101bo18b2o81bo101b
o18b2o91b2o20bo$41b2o14bo91bobo99bobo12b2o85bobo99bobo16b2o81bobo99bob
o16b2o81bobo99bobo16b2o90b2o$41b2o3bo10bo2bo2bo86b2o100b2o20bobo77b2o
100b2o100b2o100b2o100b2o100b2o108b2o8bo$21b3o21bobo15bo197b2o12b2o184b
2o202b2o202b2o101bob2o$24bo21bobo14bo196bo2bo11bo185b2o202b2o202b2o
102bo2bo3bo$19bobo3bo22bo7bo3b3o198bobo713b4o$26bo21b2o7bo204bo714b3o$
17bobo7bo948bo$20bo6bo438b2o202b2o112b3o87b2o101bo$15bobo3bo3bobo225b
3o210b2o19bo182b2o111bo78bo11b2o17bo$22bo230bo2bo231bo293bo3bobo72bo3b
3o24b3o$13bobo7bobo227bo3bo228b3o292bo86bo22b2ob2o$16bo237bo2bo6bo187b
o327bo7bobo77bo23b3o$11bobo3bo3bobo225b3o3b3o7b2o421b2obo88bo6bo74bo2b
o2bo24bo$18bo230bo2bo11b2o323bo65b3o29bo92bobo3bo3bobo69bo$9bobo7bobo
227bo3bo330b3o3bo63bo3bo28b2o4b2o63b2o25bo76bo$12bo237bo2bo195b2o132bo
70bo4bo26b2o3bo65b2o23bobo7bobo68b3o3bo$7bobo3bo3bobo231b3o194b2o133bo
70bo2bo2bo23b3o5bobo63b2obo29bo76bo16bo$14bo433b2o8bo124bo2bo2bo65bo4b
o22bobo6bo3bo62b3o22bobo3bo3bobo87b3o$5bobo7bobo368b3o57bob2o97b3o39bo
66bo3bo22bo7bo68bo28bo93b2ob2o$5b2o378bo3bo57bo2bo3bo22bo10b2o60bo38bo
67b3o30bo95bobo7bobo85b3o$4bobo6bobo368bo4bo61b4o20bobo11b2o54bobo3bo
30bo3b3o94bo2bo2bo105bo89bo$3b3ob2o374bo2bo2bo61b3o22b2o8bob2o62bo30bo
63b3o37b2o99bobo3bo3bobo$4b4o5bo4b2o168bo194bo4bo61bo35b3o54bobo7bo92b
o3bo34bo64bo42bo6bo$6bo3bo7b2o167bo102b3o90bo3bo63bo35bo58bo6bo92bo4bo
33bobo61b3o38bobo7bo$188b3o98bo46bo47b3o154bobo3bo3bobo92bo2bo2bo96bob
2o46bo46bo$188b4o96bo3bobo40bo3b3o206bo98bo4bo35bo63b2o38bobo3bo46bo3b
3o$184bo2bo3bo95bo54bo51b3o142bobo7bobo96bo3bo98b2o44bo54bo$183bob2o
99bo7bobo45bo50bo3bo99bo44bo106b3o142b3o55bo$185b2o8bo90bo6bo42bo2bo2b
o49bo4bo98b3o38bobo3bo3bobo296bo2bo2bo$95bo33b3o53b2o99bobo3bo3bobo37b
o54bo2bo2bo97b2obo45bo301bo$90b3o3bo31bo3bo53b2o103bo44bo54bo4bo97b2o
39bobo7bobo298bo$89bo38bo4bo154bobo7bobo36b3o3bo47bo3bo99b2o41bo308b3o
3bo$89bo38bo2bo2bo64bo22bobo72bo44bo49b3o138bobo3bo3bobo306bo78b2o$89b
o2bo2bo33bo4bo90bo64bobo3bo3bobo237bo390bo$95bo34bo3bo54bo30bo4bo69bo
106b3o126bobo7bobo368b3o14bobo$95bo35b3o86bo4bo66bobo7bobo96bo3bo98b2o
28bo376bo3bo12bobo$2o86bo3b3o106b2o17b2o2bob2o73bo98bo4bo99b2o22bobo3b
o3bobo69bo298bo4bo8b2o3bo$2o87bo31b3o78b2o17b4ob2o66bobo3bo3bobo92bo2b
o2bo96bob2o30bo75b2o295bo2bo2bo8b2o$120bo3bo68bo8b2o18bo3bob2o69bo6bo
92bo4bo97b3o22bobo7bobo72b2o295bo4bo$120bo4bo76b2obo21b3o66bobo7bo92bo
3bo99bo26bo82b3o98bo194bo3bo$120bo2bo2bo70bo3bo2bo25b3o72bo14bo79b3o
122bobo3bo3bobo77b2o96bo196b3o$121bo4bo70b4o27b2o3bo64bobo3bo14bo3b3o
206bo179bo2bo$122bo3bo71b3o27bo74bo22bo83b3o110bobo7bobo69bo10b2o93bob
obo204b3o$123b3o75bo25b2o4bo66b3o23bo82bo3bo99bo12bo79b2o102bo3bo204bo
3bo$200bo27b2o90bo2bo2bo81bo4bo98b3o6bobo3bo3bobo72b3o103b2o6b3o195bo
4bo$211b2o16b3o88bo86bo2bo2b4o94b2obo13bo79bo111b3o194bo2bo2bo$211b2o
107bo86bo4bo2b2o93b2o7bobo7bobo76b2o109bo3b2o192bo4bo$321b3o3bo79bo3bo
99b2o9bo86bobo111b2o192bo3bo25bo$326bo81b3o106bobo3bo3bobo81bo105bobob
2o2bo192b3o4bo19b3o$410bo106bo6bo190b2o6b4o197bobo17bo$206b2o202b2o
105bo7bobo187b2o2bo2bo2b3o195bo2bo16bobo$206b2o202b2o106bo196b2o2bobo
4bob2o194b2o18bo$99b2o100b2o100b2o100b2o100b2o10bo3bobo83b2o100b2o4b2o
bo5bob2o83b2o100b2o$98bobo99bobo16b2o81bobo99bobo16b2o81bobo11bo87bobo
99bobo4b2obo4bobo2b2o80bobo99bobo12b2o$98bo101bo18b2o81bo101bo18b2o81b
o14b3o84bo101bo8b3o2bo2bo2b2o80bo101bo13bo2bo10b2o$97b2o100b2o100b2o
100b2o19bo80b2o100b2o100b2o9b4o6b2o79b2o100b2o13bobo11b2o$424b3o204bo
89bo2b2obobo199bo4b3o$423bo3bo98b2o103bobo88b2o209bo3bo$214b2o202b2o2b
o4bo99b2o104b2o87b2o3bo204bo4bo$214b2o202b4o2bo2bo96bob2o106bo89b3o
204bo2bo2bo$226bo194bo4bo97b3o107b3o87b3o6b2o196bo4bo$225bo102b3o90bo
3bo99bo109b2o95bo3bo194bo3bo$226b3o98bo94b3o200b2o10bo93bobobo196b3o$
110b2o100b2o12b4o84b2o10bo3bobo83b2o100b2o100b2o100b2o7bo2bo89b2o100b
2o$111bo101bo8bo2bo3bo85bo9bo91bo14b3o84bo101bo4b2o95bo9bo91bo101bo14b
3o$108b3o99b3o8bob2o87b3o9bo7bobo79b3o14bo3bo80b3o16bo82b3o6b3o90b3o9b
o89b3o99b3o14bo3bo$108bo101bo12b2o8bo78bo11bo6bo82bo15bo4bo80bo17b3o
81bo10b2o89bo101bo101bo15bo4bo$133bo89b2o99bobo3bo3bobo92bo2bo2bo97b2o
bo92b2o308bo2bo2bo$128b3o3bo89b2o103bo99bo4bo97b2o97bo307bo4bo$127bo
198bobo7bobo90bo3bo99b2o404bo3bo$127bo109bo97bo94b3o507b3o$127bo2bo2bo
194bobo3bo3bobo$133bo93bo105bo106b3o$133bo196bobo7bobo96bo3bo98b2o$
126bo3b3o106b2o98bo98bo4bo99b2o$127bo112b2o90bobo3bo3bobo92bo2bo2bo96b
ob2o407b2o$231bo8b2o95bo6bo92bo4bo97b3o$148b2o90b2obo6b2o82bobo7bo7b2o
83bo3bo12b2o85bo14b2o100b2o100b2o92b3o5b2o100b2o$148b2o85bo3bo2bo7b2o
91bo8b2o84b3o13b2o100b2o100b2o100b2o91bo8b2o100b2o$235b4o97bobo3bo410b
3o96bo3bobo88b2o$236b3o102bo106b3o293b3o2bo2bo2bo95bo94bo2bo$239bo98b
3o13bobo90bo3bo99bo190bo4bobobo2bo95bo7bobo87b2o$124b2o100b2o10bo89b2o
19bobobob2o73b2o14bo4bo80b2o16b3o81b2o100b2o4bo2bo4b4o84b2o10bo6bo82b
2o4bo2bo$124b2o100b2o100b2o18b2o4b2ob2o71b2o13bo2bo2bo80b2o15b2obo81b
2o23bo76b2o4bo4b2ob2o86b2o10bobo3bo3bobo77b2o4bobo$349b2o2bo4b2o85bo4b
o97b2o104b3o3bo82b2o4bo105bo$350bo5b2o87bo3bo99b2o102bo198bobo7bobo$
351bo4bo89b3o204bo207bo$143bo4bo204bobo297bo2bo2bo194bobo3bo3bobo$141b
2o3b2ob2o402bo105bo199bo$142b2obo4bo198bo202bobo4b5o95bo196bobo7bobo$
143b3o2b4o197bo201b2o3b3obo3bo87bo3b3o206bo$144b2obo2b2o197bo204bo3bob
ob2o89bo204bobo3bo3bobo$147bob2o403bo2bob2obo300bo6bo$148b2o205bobo
197bobobob2o297bobo7bo$355bobo196b2o4bobo306bo$162b2o100b2o89bobo8b2o
100b2o90bobo7b2o100b2o100b2o86bobo3bo7b2o100b2o$162b2o100b2o89bo10b2o
100b2o100b2o100b2o100b2o91bo8b2o100b2o$354bob2o506b3o$354bo$355b3o$
356bo!

p59:

Code: Select all

x = 2205, y = 87, rule = B36/S23
514bo264bo987b2o$56bo191bo72b2o190b2o263bo2bo266bo260b2o190b3o71bo190b
o265bo2b2o$55b2o116b2o72b3o70bo191b2ob2o68b2o192b4o69bo190b3o3bo112bo
72b3o70bo2bo115bo72bo73bo191b2ob2o68bobo190bo4bo67bo$54b2obo114bo73b3o
bo68bob2o115bo72bo4bo68b3o116bo74b5o66b2o44bo72b3o70bo118b2o71bo3bo69b
2o116bo72bo3bobo67b2obo188b2o2b2o70bo115b2o73bo4bo67bo43b3o$53bo118b2o
bo69b2o2b3o67b4o115bo3bo67bo6b2o65b2o3bo40bo72b2o70bo2bo2b2o38b2o72b3o
70bo2bo69bo3bo114b2ob2o68bo4bo68bobo117b3o68bo6bo67bo3bo113b3o69b3o6bo
37bo27b2o43b3o72b2o69b5o41bo72bo$53b2o4bo42bo68b2o2b3o66b2o3b2o70b2o
40b2o73bo3bo66b2o5b2o37b3o32bo38b3o70bobo3bo65bob2o3b2obo35bo73b3obo
68bo3bo68bo5bobo37bo2b2o68bo72bo2bo2bo68bobo4bo37bo74b4o66bo7bo38bo28b
o4bo38b3o70bo5b2o64bobo5bobo36b2o71bo3bo68bob2o69bob2o2bo39bo2bo69bo3b
obo$54b2o4b2o35b3o3bo65b3o44bo26b3o2b2o39b3o28bob4obo36b2o69b6obo38bo
26b2o6bo37bo73b2ob2o68b3o4bo66bo4bo2bo36b2ob2o68b2o2b3o67bo2bo71b2o4bo
37bo4bo66bo5bobo65bo4bo40bo31bo4bo35b2o70bo2bo3bo38b2o26bo6bo38b3o33bo
36bo2bo70bo4bo66bo6b3o36b2ob2o68bo4bo68b3o70b3o3b4o37b4o67bo$23b3o27bo
b2o2b2o35bo71bobo8bo35b2o27bob3o39bo3bo30b3obo33bob2o73bo41bo28b2o4bo
37bo3bobo31bo35b2ob2o63bo78bo4bo39b2o2b2o67b2o3b2obo61bo4b3o41b2o28b2o
bo3bo37bo4bo65b2o44b3o26bo3bo40b3o27bo3b3obo34bobo69bob2o42bo28bobo3bo
38b3obo28bo5bo33bo3bo70bo43bo30bo2b2o37bo4bo32b2o33bo2bo2bo62b2o5bo43b
o26b2o4b2o40b5o65bo7bobo36bo$22bo2bo27bo2b2obo36bo71bo45b2ob2o22bo3b3o
39bo4bo26bo2bobobo34b3o65bo8bo42b3o22b3ob2ob2o37bo6bo20bo10b2o33b2ob2o
3bo60b2o48b3o23b2ob2o3bo37b3o6bo31bo5bo26b3o2b2ob3o35b3o20bo2bo48b2o
22b2o5b2o2bo35b5o41bo26b2o6bobobo33bo22bo7b3o40b2ob2o21bo4bo5b2o34b3o
72b2o8bo33b2obo23b2o5bo38b2o2b3o31b2o34bo2bo63b3o49bo3bo21b3o4b2o37bo
6b2o19b2o44bo4bob3o36bo24bo47b2o24b5o2b3o36bo2bo2b2o38b2o26bo6bo38b3o$
21bo3bo21b3o4b2ob2o37bo2bo2bo37bo2b2o18bo6b2o3bo3bobo31bo27b2o3bo39bo
2bo2bo21b2o4bo3b2o25b2o9bo5bo20bo16bo21b3o50b4o21bo2bob3o37bo7bo20b2o
8b3o5bo28b3o3b3o35b3o19b2ob2o46bo5b2o19bo4bobobo35bobo5bobo18b2o10bo5b
2o27bob3ob3obo33bo3bo18b4o46bob2o28bobo2bo39bobo39bo2bo26bo4bo37bo3bob
o16bo3b3o44b2ob2o22bo5b2ob2o26bo58bo17b3o5b2o41b2o2b3o20b2o3b3o38b2o3b
2o20b3o7b3o26bo8b3o3b3o35b2o24bo6bo41bo3bo20b2ob2o4bo36b2o5b2o30bobo4b
3o26bo3bobo3bo34b3o19b2ob2o46bobo3bo19b2ob2obobobo35bob2o3b2obo19bo10b
2o3bo28bobo3bo3bobo32b3obo$21bo2bo59b3o15bo20bo16bo4bo16b3o6bo40bo5bob
o20bobo42bo4bo21b2o17bo20bo13b3o17bo2bo14b2o20bob3o4b3o38bo2bo3bo21bo
3bobo38bo6bo19bob2o8bo6b3o19bo8bo3b2ob2o33bo2bo19bo4bo4b2o39bo4bo21bo
2bob2obo36bo6b3o17b4o10bo4b2ob2o18bo7b3ob2o2b3o31bo4bo17b5o46b3o22bobo
8bo27bo13b5o19bobo15b4o17b3o5bobobo5bobo29bo30bo42b2ob2o21b2obo35b2o
14b3o18b3o14b3o3bo15bo3bo5b2o38b3o27b2obo40b3o2b2o23bo15b3o19bo12bo2bo
36b2o18bobo3bo4bo39b6obo21b2ob2ob2o36b2o6bo19b2o10bo5bo30b3obo4bo33b2o
b2o18b2o2b2o44b3o4bo18bob2o2b5o38b2o2bo2bo17bo3bo14b2ob2o18b2o9bo38b2o
2b3o$8bo12b3o21bobobo15b2o20bo14bo19b2obo14bo4bo15b2ob2o5bo11bo27b2o
29b3o13b2o26bo3bo20b3o17b3o16bob2o12b2obo34bobo19b3o2b2o43bob2o27bo2bo
13bo26bobo3bo20b3o15b3obo14bo3bo11b2ob2o33bo3bo17b2o6bo44bo8bo14b3obo
34bo10b2o2b2o19bo2bo14bo4bo18b2o7bob2o3b2obo29bo2bo2bo18b2o2bo2bo15bo
12b2o13bo26bo16bo17b3o8bo4bo19bo2b2o16b5o16bo2bo45bo7bobo21bo15bo27b3o
41b3o15b2ob2o12bobo18b3o14bo22bo4bo43bobo8bo20b3o13b2o26bob3o21b3o15bo
3bo15b3o12bo3bo33bob2o19bo6bo3bo42bo22bo3b2obo12bo28bo4bo19b2ob2o13bo
3bobo16b3o9bo2bo2bo32b2ob2o17bo6b3o28bo38b3ob2ob3o28b3o8b5o20bo2b2o14b
2o2b2o17b2o7bobo7bobo28b2o3b2obo$6bo2bo40bo15b2o14bobo3bo6bo3b3o18b2o
2bo12b5o20b2ob2o43b2o6bobobo34bo2bo10bo15b3o40b2ob2o13b3o2b2o10b2o19bo
3bo12b3o21b2o3b2o44b2o6b2o14b3o3b3o11b2o17b2o13bo21bo16b2o2b3o13bo3bo
10b2ob2o3bo30bo2bo19b2o5b2o15bo11b3o22bo13bo3bobo2bo11b2o16b3o9b2ob2o
6b2o12b3o14bo6b2o12bo3bobo7b3o2b2ob3o28bo4bob3o13bob2o3b2obo13bobo13bo
34bobo3bo14b2o16bob3o7bo4bo20bo2bo12bo2bo2b2o17bo3bo5bobo5bobobo26bo6b
o18bo2bo2bo14b2o11b2o2bo12bo21bobo3bo13bo2bo20bo11b2o18bobobo13bo22bo
2bo2bo16bo25bo10bo15bo5bo13bo3bo13bo11b3o22bo16bo4bo14b4o12bo2bo34b3o
20bo7bo28bo16bo5b3o13b3o3b3o11bo17b3o9b2ob2o7bo13bo15bo6bo12b2o5bo8bo
4bob3o28b2ob2o3bo14bobo5bobo13b3o11b2o21b2o13bob3ob2obo10b3o15bo3bo8b
4o7bo13b3o13b3o6bo16b2obo13bo30b3o2b2ob3o$5b4o34bobo5bobo9bob2o22bo6bo
13bo10b3o3bo12bobo20b2ob2o5bobo3bo3bobo26bo4bo4bo13b3o18bob3o8bo3b3o
42bo9b2ob2o20b3o9b2o3b2o13bo3bo37b2o2b3o14b2o11b3o13b2o7b2o13bo2bo17b
2o15b2o11b3o7b3o18b2o8b2o3b2o14bob6o8b3o3b3o14b2o13b3o3b3o15bo6b2o13b
3o13bo14bo5bo14bo4bob3o10b2o16b2ob2o12bo5bo30b2o5b2o13bo4b3o7bob3ob3ob
o27bo3bobo3bo13bo2bo2b2o14b2o11b2ob2o41bo2bo9bobo15b3o2b2o7b2o2bo5bo2b
2o10b3o4bo7bob2o3b2obo16bo2bo12bo31bobo3bo3bobo13bo19b2obo9bo4bo42bo
10bo3bo13bobo5bo10bo5bo13bo2bo14bo2bo2bo17bo4bo16bo12bo14b2o3bo3b2o13b
3o17b2o17b2o11bo9bo19b2o8bo2bo2bo14bo3bo2bo8b3o3b3o12bobobo13bo5bo16bo
6bo14b3o10b3o36b2ob2o3bo11bo2bo15bo2bo10b2o7b2o18bo2bo6bo7bo14bo4bo8bo
3bobo3bo14bo13b3o3b3o14b3o6bo13bobo9b2ob2o34b3o2b2ob3o9bo18bo4bo8bo2bo
5bo2bo12bo5bo7bobo5bobo17b3o6bobo3bo3bobo26bob3ob3obo$4b5o44bo9b3o14bo
bo7bo14b3o3bo10bo3bo14b5o18b3o18bo10b3o13bobobo6b2o12bobo17b2ob2o15bo
19b3o18b2o8b2ob2o13bo8bobo14b2o13b3ob2obo14b3o17b3obo16bobo8bo3bo13b2o
6b2o13bo3bo13bobo18b2obo17bo20b4o6b3o2b2o19bo12bo3b2ob2o11bo3bo17bo2bo
16bo4bo17bo8bobo3bo12bo21bo2bo2bo12b3obo15b2ob2o9b2o6b2ob2o16b3o6b2o6b
o30b3ob2o2b3o11bo2bo12b3obo4bo17b5o14b2o10b2o2b2o31bobo7bobo8b3o15bob
2o3b2o16bo4bo14b2o10b2o2bo2bo18b3o7bobobo5bobo10bo18bo6bo13bo20bob2o8b
o4bo22bo9bo10b2o8bo2bo22b2o14b2o14b3o2bobo15bo18bo3bo6bo9b2o10b3o14bo
10bo11bob2o15bobo4bo12bobo19b3o17bobo8bo4bo20b2obo12bo2bo13b2o2bo17b3o
16bo3bobo15bo10bob3o12b3o5bo15b2ob2o13bobobo15bo3bo9bo7b2ob2o16bo2bo6b
o6bo11bo8bo9b3obo4bo12bo2bo13bo3b2ob2o15b2o2b2o15bob2o8bo4bo12b2o18bob
2o3b2obo10bo18bo2bo2bo9bo7b4o16bobo6bo6b3o19bo12bo34b3ob2o2b3o$5b2o2bo
2bo18b3o7bobobo5bobo10bo18bo6bo13bo20bob2o8bo4bo22bo9bo10b2o8bo2bo22b
2o14b2o14b3o2bobo15bo18bo3bo6bo9b2o10b3o14bo10bo11bob2o15bobo4bo12bobo
19b3o17bobo8bo4bo20b2obo12bo2bo13b2o2bo17b3o16bo3bobo15bo10bob3o12b3o
5bo15b2ob2o13bobobo15bo3bo9bo7b2ob2o16bo2bo6bo6bo11bo8bo9b3obo4bo12bo
2bo13bo3b2ob2o15b2o2b2o15bob2o8bo4bo12b2o18bob2o3b2obo10bo18bo2bo2bo9b
o7b4o16bobo6bo6b3o19bo12bo34b3ob2o2b3o15bo4bo13bob2o8b5o44bo9b3o14bobo
7bo14b3o3bo10bo3bo14b5o18b3o18bo10b3o13bobobo6b2o12bobo17b2ob2o15bo19b
3o18b2o8b2ob2o13bo8bobo14b2o13b3ob2obo14b3o17b3obo16bobo8bo3bo13b2o6b
2o13bo3bo13bobo18b2obo17bo20b4o6b3o2b2o19bo12bo3b2ob2o11bo3bo17bo2bo
16bo4bo17bo8bobo3bo12bo21bo2bo2bo12b3obo15b2ob2o9b2o6b2ob2o16b3o6b2o6b
o30b3ob2o2b3o11bo2bo12b3obo4bo17b5o14b2o10b2o2b2o31bobo7bobo8b3o15bob
2o3b2o$3bob2o3b2obo16bo2bo12bo31bobo3bo3bobo13bo19b2obo9bo4bo42bo10bo
3bo13bobo5bo10bo5bo13bo2bo14bo2bo2bo17bo4bo16bo12bo14b2o3bo3b2o13b3o
17b2o17b2o11bo9bo19b2o8bo2bo2bo14bo3bo2bo8b3o3b3o12bobobo13bo5bo16bo6b
o14b3o10b3o36b2ob2o3bo11bo2bo15bo2bo10b2o7b2o18bo2bo6bo7bo14bo4bo8bo3b
obo3bo14bo13b3o3b3o14b3o6bo13bobo9b2ob2o34b3o2b2ob3o9bo18bo4bo8bo2bo5b
o2bo12bo5bo7bobo5bobo17b3o6bobo3bo3bobo26bob3ob3obo13b5o17bo12b4o34bob
o5bobo9bob2o22bo6bo13bo10b3o3bo12bobo20b2ob2o5bobo3bo3bobo26bo4bo4bo
13b3o18bob3o8bo3b3o42bo9b2ob2o20b3o9b2o3b2o13bo3bo37b2o2b3o14b2o11b3o
13b2o7b2o13bo2bo17b2o15b2o11b3o7b3o18b2o8b2o3b2o14bob6o8b3o3b3o14b2o
13b3o3b3o15bo6b2o13b3o13bo14bo5bo14bo4bob3o10b2o16b2ob2o12bo5bo30b2o5b
2o13bo4b3o7bob3ob3obo27bo3bobo3bo13bo2bo2b2o14b2o11b2ob2o41bo2bo9bobo
15b3o2b2o$4bo2bo2b2o17bo3bo5bobo5bobobo26bo6bo18bo2bo2bo14b2o11b2o2bo
12bo21bobo3bo13bo2bo20bo11b2o18bobobo13bo22bo2bo2bo16bo25bo10bo15bo5bo
13bo3bo13bo11b3o22bo16bo4bo14b4o12bo2bo34b3o20bo7bo28bo16bo5b3o13b3o3b
3o11bo17b3o9b2ob2o7bo13bo15bo6bo12b2o5bo8bo4bob3o28b2ob2o3bo14bobo5bob
o13b3o11b2o21b2o13bob3ob2obo10b3o15bo3bo8b4o7bo13b3o13b3o6bo16b2obo13b
o30b3o2b2ob3o17bobo16b2o12bo2bo40bo15b2o14bobo3bo6bo3b3o18b2o2bo12b5o
20b2ob2o43b2o6bobobo34bo2bo10bo15b3o40b2ob2o13b3o2b2o10b2o19bo3bo12b3o
21b2o3b2o44b2o6b2o14b3o3b3o11b2o17b2o13bo21bo16b2o2b3o13bo3bo10b2ob2o
3bo30bo2bo19b2o5b2o15bo11b3o22bo13bo3bobo2bo11b2o16b3o9b2ob2o6b2o12b3o
14bo6b2o12bo3bobo7b3o2b2ob3o28bo4bob3o13bob2o3b2obo13bobo13bo34bobo3bo
14b2o16bob3o$8b5o16bo2bo45bo7bobo21bo15bo27b3o41b3o15b2ob2o12bobo18b3o
14bo22bo4bo43bobo8bo20b3o13b2o26bob3o21b3o15bo3bo15b3o12bo3bo33bob2o
19bo6bo3bo42bo22bo3b2obo12bo28bo4bo19b2ob2o13bo3bobo16b3o9bo2bo2bo32b
2ob2o17bo6b3o28bo38b3ob2ob3o28b3o8b5o20bo2b2o14b2o2b2o17b2o7bobo7bobo
28b2o3b2obo19b5o15bo13bo12b3o21bobobo15b2o20bo14bo19b2obo14bo4bo15b2ob
2o5bo11bo27b2o29b3o13b2o26bo3bo20b3o17b3o16bob2o12b2obo34bobo19b3o2b2o
43bob2o27bo2bo13bo26bobo3bo20b3o15b3obo14bo3bo11b2ob2o33bo3bo17b2o6bo
44bo8bo14b3obo34bo10b2o2b2o19bo2bo14bo4bo18b2o7bob2o3b2obo29bo2bo2bo
18b2o2bo2bo15bo12b2o13bo26bo16bo17b3o$8b4o17b3o5bobobo5bobo29bo30bo42b
2ob2o21b2obo35b2o14b3o18b3o14b3o3bo15bo3bo5b2o38b3o27b2obo40b3o2b2o23b
o15b3o19bo12bo2bo36b2o18bobo3bo4bo39b6obo21b2ob2ob2o36b2o6bo19b2o10bo
5bo30b3obo4bo33b2ob2o18b2o2b2o44b3o4bo18bob2o2b5o38b2o2bo2bo17bo3bo14b
2ob2o18b2o9bo38b2o2b3o16bo4bo45bo2bo59b3o15bo20bo16bo4bo16b3o6bo40bo5b
obo20bobo42bo4bo21b2o17bo20bo13b3o17bo2bo14b2o20bob3o4b3o38bo2bo3bo21b
o3bobo38bo6bo19bob2o8bo6b3o19bo8bo3b2ob2o33bo2bo19bo4bo4b2o39bo4bo21bo
2bob2obo36bo6b3o17b4o10bo4b2ob2o18bo7b3ob2o2b3o31bo4bo17b5o46b3o22bobo
8bo27bo$7bo2bo26bo4bo37bo3bobo16bo3b3o44b2ob2o22bo5b2ob2o26bo58bo17b3o
5b2o41b2o2b3o20b2o3b3o38b2o3b2o20b3o7b3o26bo8b3o3b3o35b2o24bo6bo41bo3b
o20b2ob2o4bo36b2o5b2o30bobo4b3o26bo3bobo3bo34b3o19b2ob2o46bobo3bo19b2o
b2obobobo35bob2o3b2obo19bo10b2o3bo28bobo3bo3bobo32b3obo17bo4bo45bo3bo
21b3o4b2ob2o37bo2bo2bo37bo2b2o18bo6b2o3bo3bobo31bo27b2o3bo39bo2bo2bo
21b2o4bo3b2o25b2o9bo5bo20bo16bo21b3o50b4o21bo2bob3o37bo7bo20b2o8b3o5bo
28b3o3b3o35b3o19b2ob2o46bo5b2o19bo4bobobo35bobo5bobo18b2o10bo5b2o27bob
3ob3obo33bo3bo18b4o46bob2o28bobo2bo$8bo26b2o6bobobo33bo22bo7b3o40b2ob
2o21bo4bo5b2o34b3o72b2o8bo33b2obo23b2o5bo38b2o2b3o31b2o34bo2bo63b3o49b
o3bo21b3o4b2o37bo6b2o19b2o44bo4bob3o36bo24bo47b2o24b5o2b3o36bo2bo2b2o
38b2o26bo6bo38b3o19b2o2bo4bo41bo2bo27bo2b2obo36bo71bo45b2ob2o22bo3b3o
39bo4bo26bo2bobobo34b3o65bo8bo42b3o22b3ob2ob2o37bo6bo20bo10b2o33b2ob2o
3bo60b2o48b3o23b2ob2o3bo37b3o6bo31bo5bo26b3o2b2ob3o35b3o20bo2bo48b2o
22b2o5b2o2bo$36b2o44b3o26bo3bo40b3o27bo3b3obo34bobo69bob2o42bo28bobo3b
o38b3obo28bo5bo33bo3bo70bo43bo30bo2b2o37bo4bo32b2o33bo2bo2bo62b2o5bo
43bo26b2o4b2o40b5o65bo7bobo36bo28b3o41b3o27bob2o2b2o35bo71bobo8bo35b2o
27bob3o39bo3bo30b3obo33bob2o73bo41bo28b2o4bo37bo3bobo31bo35b2ob2o63bo
78bo4bo39b2o2b2o67b2o3b2obo61bo4b3o41b2o28b2obo3bo$37bo5bobo65bo4bo40b
o31bo4bo35b2o70bo2bo3bo38b2o26bo6bo38b3o33bo36bo2bo70bo4bo66bo6b3o36b
2ob2o68bo4bo68b3o70b3o3b4o37b4o67bo73b2ob2o71b2o4b2o35b3o3bo65b3o44bo
26b3o2b2o39b3o28bob4obo36b2o69b6obo38bo26b2o6bo37bo73b2ob2o68b3o4bo66b
o4bo2bo36b2ob2o68b2o2b3o67bo2bo71b2o4bo$38bo72bo2bo2bo68bobo4bo37bo74b
4o66bo7bo38bo28bo4bo38b3o70bo5b2o64bobo5bobo36b2o71bo3bo68bob2o69bob2o
2bo39bo2bo69bo3bobo67b2ob2o69b2o4bo42bo68b2o2b3o66b2o3b2o70b2o40b2o73b
o3bo66b2o5b2o37b3o32bo38b3o70bobo3bo65bob2o3b2obo35bo73b3obo68bo3bo68b
o5bobo27b2o2bo$39b2ob2o68bo4bo68bobo117b3o68bo6bo67bo3bo113b3o69b3o6bo
37bo27b2o43b3o72b2o69b5o41bo72bo73b2ob2o68bo118b2obo69b2o2b3o67b4o115b
o3bo67bo6b2o65b2o3bo40bo72b2o70bo2bo2b2o38b2o72b3o70bo2bo69bo3bo29bo4b
o$40b2o71bo3bo69b2o116bo72bo3bobo67b2obo188b2o2b2o70bo115b2o73bo4bo67b
o43b3o71b3o70b2obo114bo73b3obo68bob2o115bo72bo4bo68b3o116bo74b5o66b2o
44bo72b3o70bo32bo4bo$41bo72b3o70bo2bo115bo72bo73bo191b2ob2o68bobo190bo
4bo67bo118bo72b2o116b2o72b3o70bo191b2ob2o68b2o192b4o69bo190b3o3bo29b5o
$188b2o190b3o71bo190bo265bo2b2o261bo191bo72b2o190b2o263bo2bo266bo29bob
o$8bobo635b2o987bo264bo295b5o$9b2o2bo2185bo4bo$9bo2bo2186bo4bo$5bo4b3o
2176b2o2bo5bo2b2o$6b2o2180bo4bo$5b2obo2179bo4bo$8bo2183b5o$7b2o2182bob
o$6bo2181b5o$2191bo4bo$2191bo4bo$20bo2165bo4bo2b2o$19b3o2163b3o$18b2ob
2o2161b2ob2o$17b2ob2o2161b2ob2o$16b2ob2o2161b2ob2o$17b3o2163b3o$9b2o2b
o4bo2165bo$8bo4bo$8bo4bo$12b5o2181bo$11bobo2182b2o$8b5o2183bo$11bo4bo
2179bob2o$11bo4bo2180b2o$b2o2bo5bo2b2o2176b3o4bo$o4bo2186bo2bo$o4bo
2185bo2b2o$4b5o295bo264bo987b2o635bobo$3bobo29bo266bo2bo263b2o190b2o
72bo191bo261b2o2bo265bo190bo71b3o190b2o$5o29bo3b3o190bo69b4o192b2o68b
2ob2o191bo70b3o72b2o116b2o72bo118bo67bo4bo190bobo68b2ob2o191bo73bo72bo
115bo2bo70b3o72bo$3bo4bo32bo70b3o72bo44b2o66b5o74bo116b3o68bo4bo72bo
115b2obo68bob3o73bo114bob2o70b3o71b3o43bo67bo4bo73b2o115bo70b2o2b2o
188bob2o67bobo3bo72bo116b2o69bo3bo71b2o$3bo4bo29bo3bo69bo2bo70b3o72b2o
38b2o2bo2bo70b2o72bo40bo3b2o65b2o6bo67bo3bo115b4o67b3o2b2o69bob2o118bo
68b2ob2o73bo72bo41b5o69b2o72b3o43b2o27bo37bo6b3o69b3o113bo3bo67bo6bo
68b3o117bobo68bo4bo68b2ob2o$3bo2b2o27bobo5bo68bo3bo68bob3o73bo35bob2o
3b2obo65bo3bobo70b3o38bo32b3o37b2o5b2o66bo3bo73b2o40b2o70b2o3b2o66b3o
2b2o68bo42bo4b2o69b2ob2o67bobo3bo69bo2bo39bo2b2obo69b2obo68bo3bo71b2o
36bobo5bobo64b2o5bo70b3o38bo4bo28bo38bo7bo66b4o74bo37bo4bobo68bo2bo2bo
72bo$35bo4b2o71bo2bo67b3o2b2o68b2ob2o36bo2bo4bo66bo4b3o68b2ob2o73bo37b
o6b2o26bo38bob6o69b2o36bob4obo28b3o39b2o2b3o26bo44b3o65bo3b3o35b2o4b2o
71b2ob2o73bo67b4o37b4o3b3o70b3o68bo4bo68b2ob2o36b3o6bo66bo4bo70bo2bo
36bo33b3o38bo6bo26b2o38bo3bo2bo70b2o35bo4bo31bo40bo4bo65bobo5bo$35bo3b
ob2o28b2o41b3o4bo61bob2o3b2o67b2o2b2o39bo4bo78bo63b2ob2o35bo31bobo3bo
37bo4b2o28bo41bo73b2obo33bob3o30bo3bo39b3obo27b2o35bo8bobo71bo35b2o2b
2obo27b3o41b3o28bo36bobo7bo65b5o40b2o4b2o26bo43bo5b2o62bo2bo2bo33b2o
32bo4bo37b2o2bo30bo43bo70bo3bo33bo5bo28bob3o38bo3bobo28bo42b2obo69bobo
34bob3o3bo27b3o40bo3bo26b3o44b2o$36bo2b2o5b2o22b2o48bo2bo20b3o35b3ob2o
2b3o26bo5bo31bo6b3o37bo3b2ob2o23b3o48b2o60bo3b2ob2o33b2o10bo20bo6bo37b
2ob2ob3o22b3o42bo8bo65b3o34bobobo2bo26bo4bo39b3o3bo22b2ob2o45bo71bo36b
ob2o2bo27bo2bo41bo4bo2b2o19b3o38bo6bo26b2o38b2o2bo2bo36b3o2b5o24b2o47b
o24bo36b3obo4bo44b2o19b2o6bo37b2o4b3o21bo3bo49b3o63bo2bo34b2o31b3o2b2o
38bo5b2o23bob2o33bo8b2o72b3o34b2o5bo4bo21b2ob2o40b3o7bo22bo33bobobo6b
2o26bo$37bo2bobo28b2obo46b4o18bo3bo33bob3ob3obo27b2o5bo10b2o18bobo5bob
o35bobobo4bo19b2o5bo46b2ob2o19b3o35b3o3b3o28bo5b3o8b2o20bo7bo37b3obo2b
o21b4o50b3o21bo16bo20bo5bo9b2o25b2o3bo4b2o21bo2bo2bo39bo3b2o27bo31bobo
3bo3b2o6bo18b2o2bo37bo2bo2bo37b2ob2o4b3o21bo3bo45bo4bo17bob3o32bobo3bo
3bobo28bo3b2o10bo19bob2o3b2obo35bobobob2ob2o19bo3bobo46b2ob2o19b3o34bo
3bobo3bo26b3o4bobo30b2o5b2o36bo4b2ob2o20bo3bo41bo6bo24b2o35b3o3b3o8bo
26b3o7b3o20b2o3b2o38b3o3b2o20b3o2b2o41b2o5b3o17bo58bo26b2ob2o5bo22b2ob
2o44b3o3bo16bobo3bo37bo4bo26bo2bo$10bo27bo8bobo22b3o46b5o17bo4bo31b3o
2b2ob3o7bo18b2ob2o4bo10b4o17b3o6bo36bob2obo2bo21bo4bo39b2o4bo4bo19bo2b
o33b2ob2o3bo8bo19b3o6bo8b2obo19bo6bo38bobo3bo21bo3bo2bo38b3o4b3obo20b
2o14bo2bo17b3o13bo20bo17b2o21bo4bo42bobo20bobo5bo40bo6b3o16bo4bo16bo
20bo15b3o59bo2bo45bo4bo16b3o2b2o38bo9b2o18b2ob2o14bo3bo17bo2bo2b2o38b
5o2b2obo18bo4b3o44b2o2b2o18b2ob2o33bo4bob3o30bo5bo10b2o19bo6b2o36b2ob
2ob2o21bob6o39bo4bo3bobo18b2o36bo2bo12bo19b3o15bo23b2o2b3o40bob2o27b3o
38b2o5bo3bo15bo3b3o14b3o18b3o14b2o35bob2o21b2ob2o42bo30bo29bobo5bobobo
5b3o17b4o$9b3o17bo16bo26bo13b2o12bo15bo2bo2b2o18bo2bo2bo29bob2o3b2obo
7b2o18bo4bo14bo2bo19b2o2b2o10bo34bob3o14bo8bo44bo6b2o17bo3bo33b2ob2o
11bo3bo14bob3o15b3o20bo3bobo26bo13bo2bo27b2obo43b2o2b3o19bobo34bob2o
12b2obo16b3o17b3o20bo3bo26b2o13b3o29b2o27bo11bo5b2ob2o15bo4bo14bob2o
19bo14bo20b2o15bobobo21b3o12bo13bo15b5o19bob2o3b2o28bobo7bobo7b2o17b2o
2b2o14b2o2bo20b5o8b3o28b3ob2ob3o38bo28b3o6bo17b2ob2o32bo2bo2bo9b3o16bo
bo3bo13b2ob2o19bo4bo28bo12bob2o3bo22bo42bo3bo6bo19b2obo33bo3bo12b3o15b
o3bo15b3o21b3obo26b2o13b3o20bo8bobo43bo4bo22bo14b3o18bobo12b2ob2o15b3o
41b3o27bo15bo21bobo7bo45bo2bo16b5o$8b3obo16b2o14bo3bobo34bo13bobo13bob
2o3b2obo13b3obo4bo28b3ob2o2b3o7bobo3bo12b2o6bo14b3o12b2o6b2ob2o9b3o16b
2o11bo2bobo3bo13bo22b3o11bo15b2o5b2o19bo2bo30bo3b2ob2o10bo3bo13b3o2b2o
16bo21bo13b2o17b2o11b3o3b3o14b2o6b2o44b2o3b2o21b3o12bo3bo19b2o10b2o2b
3o13b2ob2o40b3o15bo10bo2bo34bobobo6b2o43b2ob2o20b5o12bo2b2o18b3o3bo6bo
3bobo14b2o15bo40bo2bo12b2o16bobo17b3ob2o2b3o30bo13bob2o16bo6b3o13b3o
13bo7b4o8bo3bo15b3o10bob2ob3obo13b2o21b2o11b3o13bobo5bobo14bo3b2ob2o
28b3obo4bo8bo5b2o12bo6bo15bo13bo7b2ob2o9b3o17bo11b3o3b3o13b3o5bo16bo
28bo7bo20b3o34bo2bo12b4o14bo4bo16bo22b3o11bo13bo3bo13bo5bo15bo10bo25bo
16bo2bo2bo22bo13bobobo18b2o11bo20bo2bo13bo3bobo21bo12bo2b2o11b2o14bo2b
o2bo18bo6bo26bobobo5bobo5bo3bo17b2o2bo2bo$7b2o2b3o15bobo9bo2bo41b2ob2o
11b2o14b2o2bo2bo13bo3bobo3bo27bob3ob3obo7b3o4bo13b2o5b2o30bo5bo12b2ob
2o16b2o10b3obo4bo14bo5bo14bo13b3o13b2o6bo15b3o3b3o13b2o14b3o3b3o8b6obo
14b2o3b2o8b2o18b3o7b3o11b2o15b2o17bo2bo13b2o7b2o13b3o11b2o14b3o2b2o37b
o3bo13b2o3b2o9b3o20b2ob2o9bo42b3o3bo8b3obo18b3o13bo4bo4bo26bobo3bo3bob
o5b2ob2o20bobo12bo3b3o10bo13bo6bo22b2obo9bobo5bobo34b4o12bo17b5o13bob
3ob3obo26bobo3bo3bobo6b3o17bobo5bobo7bo5bo12bo2bo5bo2bo8bo4bo18bo9b3ob
2o2b3o34b2ob2o9bobo13bo6b3o14b3o3b3o13bo14bo3bobo3bo8bo4bo14bo7bo6bo2b
o18b2o7b2o10bo2bo15bo2bo11bo3b2ob2o36b3o10b3o14bo6bo16bo5bo13bobobo12b
3o3b3o8bo2bo3bo14bo2bo2bo8b2o19bo9bo11b2o17b2o17b3o13b2o3bo3b2o14bo12b
o16bo4bo17bo2bo2bo14bo2bo13bo5bo10bo5bobo13bo3bo10bo42bo4bo9bob2o19bo
13bobo3bo3bobo31bo12bo2bo16bob2o3b2obo$6b2o3b2obo15b3o8bobo7bobo31b2o
2b2o10b2o14b5o17bo4bob3o12bo2bo11b3o2b2ob3o30bo6b2o6b3o16b2ob2o6b2o9b
2ob2o15bob3o12bo2bo2bo21bo12bo3bobo8bo17bo4bo16bo2bo17bo3bo11b2ob2o3bo
12bo19b2o2b3o6b4o20bo17bob2o18bobo13bo3bo13b2o6b2o13bo3bo8bobo16bob3o
17b3o14bob2ob3o13b2o14bobo8bo13b2ob2o8b2o18b3o19bo15b2ob2o17bobo12b2o
6bobobo13b3o10bo18b3o18b5o14bo3bo10bo3b3o14bo7bobo14b3o9bo44b5o8b2obo
13bo4bo15b3o2b2ob3o34bo12bo19b3o6bo6bobo16b4o7bo9bo2bo2bo18bo10bob2o3b
2obo18b2o12bo4bo8b2obo15b2o2b2o15b2ob2o3bo13bo2bo12bo4bob3o9bo8bo11bo
6bo6bo2bo16b2ob2o7bo9bo3bo15bobobo13b2ob2o15bo5b3o12b3obo10bo15bobo3bo
16b3o17bo2b2o13bo2bo12bob2o20bo4bo8bobo17b3o19bobo12bo4bobo15b2obo11bo
10bo14b3o10b2o9bo6bo3bo18bo15bobo2b3o14b2o14b2o22bo2bo8b2o10bo9bo22bo
4bo8b2obo20bo13bo6bo18bo10bobo5bobobo7b3o18bo2bo2b2o$5b3o2b2ob3o34bo
12bo19b3o6bo6bobo16b4o7bo9bo2bo2bo18bo10bob2o3b2obo18b2o12bo4bo8b2obo
15b2o2b2o15b2ob2o3bo13bo2bo12bo4bob3o9bo8bo11bo6bo6bo2bo16b2ob2o7bo9bo
3bo15bobobo13b2ob2o15bo5b3o12b3obo10bo15bobo3bo16b3o17bo2b2o13bo2bo12b
ob2o20bo4bo8bobo17b3o19bobo12bo4bobo15b2obo11bo10bo14b3o10b2o9bo6bo3bo
18bo15bobo2b3o14b2o14b2o22bo2bo8b2o10bo9bo22bo4bo8b2obo20bo13bo6bo18bo
10bobo5bobobo7b3o18bo2bo2b2o10b2o14bo4bo16b2o3b2obo15b3o8bobo7bobo31b
2o2b2o10b2o14b5o17bo4bob3o12bo2bo11b3o2b2ob3o30bo6b2o6b3o16b2ob2o6b2o
9b2ob2o15bob3o12bo2bo2bo21bo12bo3bobo8bo17bo4bo16bo2bo17bo3bo11b2ob2o
3bo12bo19b2o2b3o6b4o20bo17bob2o18bobo13bo3bo13b2o6b2o13bo3bo8bobo16bob
3o17b3o14bob2ob3o13b2o14bobo8bo13b2ob2o8b2o18b3o19bo15b2ob2o17bobo12b
2o6bobobo13b3o10bo18b3o18b5o14bo3bo10bo3b3o14bo7bobo14b3o9bo44b5o$6bob
3ob3obo26bobo3bo3bobo6b3o17bobo5bobo7bo5bo12bo2bo5bo2bo8bo4bo18bo9b3ob
2o2b3o34b2ob2o9bobo13bo6b3o14b3o3b3o13bo14bo3bobo3bo8bo4bo14bo7bo6bo2b
o18b2o7b2o10bo2bo15bo2bo11bo3b2ob2o36b3o10b3o14bo6bo16bo5bo13bobobo12b
3o3b3o8bo2bo3bo14bo2bo2bo8b2o19bo9bo11b2o17b2o17b3o13b2o3bo3b2o14bo12b
o16bo4bo17bo2bo2bo14bo2bo13bo5bo10bo5bobo13bo3bo10bo42bo4bo9bob2o19bo
13bobo3bo3bobo31bo12bo2bo16bob2o3b2obo7bo4b3o10b2o2bo5bo2b2o7b2o2b3o
15bobo9bo2bo41b2ob2o11b2o14b2o2bo2bo13bo3bobo3bo27bob3ob3obo7b3o4bo13b
2o5b2o30bo5bo12b2ob2o16b2o10b3obo4bo14bo5bo14bo13b3o13b2o6bo15b3o3b3o
13b2o14b3o3b3o8b6obo14b2o3b2o8b2o18b3o7b3o11b2o15b2o17bo2bo13b2o7b2o
13b3o11b2o14b3o2b2o37bo3bo13b2o3b2o9b3o20b2ob2o9bo42b3o3bo8b3obo18b3o
13bo4bo4bo26bobo3bo3bobo5b2ob2o20bobo12bo3b3o10bo13bo6bo22b2obo9bobo5b
obo34b4o$7b3ob2o2b3o30bo13bob2o16bo6b3o13b3o13bo7b4o8bo3bo15b3o10bob2o
b3obo13b2o21b2o11b3o13bobo5bobo14bo3b2ob2o28b3obo4bo8bo5b2o12bo6bo15bo
13bo7b2ob2o9b3o17bo11b3o3b3o13b3o5bo16bo28bo7bo20b3o34bo2bo12b4o14bo4b
o16bo22b3o11bo13bo3bo13bo5bo15bo10bo25bo16bo2bo2bo22bo13bobobo18b2o11b
o20bo2bo13bo3bobo21bo12bo2b2o11b2o14bo2bo2bo18bo6bo26bobobo5bobo5bo3bo
17b2o2bo2bo12bo2bo20bo4bo7b3obo16b2o14bo3bobo34bo13bobo13bob2o3b2obo
13b3obo4bo28b3ob2o2b3o7bobo3bo12b2o6bo14b3o12b2o6b2ob2o9b3o16b2o11bo2b
obo3bo13bo22b3o11bo15b2o5b2o19bo2bo30bo3b2ob2o10bo3bo13b3o2b2o16bo21bo
13b2o17b2o11b3o3b3o14b2o6b2o44b2o3b2o21b3o12bo3bo19b2o10b2o2b3o13b2ob
2o40b3o15bo10bo2bo34bobobo6b2o43b2ob2o20b5o12bo2b2o18b3o3bo6bo3bobo14b
2o15bo40bo2bo$8bob2o3b2o28bobo7bobo7b2o17b2o2b2o14b2o2bo20b5o8b3o28b3o
b2ob3o38bo28b3o6bo17b2ob2o32bo2bo2bo9b3o16bobo3bo13b2ob2o19bo4bo28bo
12bob2o3bo22bo42bo3bo6bo19b2obo33bo3bo12b3o15bo3bo15b3o21b3obo26b2o13b
3o20bo8bobo43bo4bo22bo14b3o18bobo12b2ob2o15b3o41b3o27bo15bo21bobo7bo
45bo2bo16b5o16b2o2bo19bo4bo8b3o17bo16bo26bo13b2o12bo15bo2bo2b2o18bo2bo
2bo29bob2o3b2obo7b2o18bo4bo14bo2bo19b2o2b2o10bo34bob3o14bo8bo44bo6b2o
17bo3bo33b2ob2o11bo3bo14bob3o15b3o20bo3bobo26bo13bo2bo27b2obo43b2o2b3o
19bobo34bob2o12b2obo16b3o17b3o20bo3bo26b2o13b3o29b2o27bo11bo5b2ob2o15b
o4bo14bob2o19bo14bo20b2o15bobobo21b3o12bo$9b3o2b2o38bo9b2o18b2ob2o14bo
3bo17bo2bo2b2o38b5o2b2obo18bo4b3o44b2o2b2o18b2ob2o33bo4bob3o30bo5bo10b
2o19bo6b2o36b2ob2ob2o21bob6o39bo4bo3bobo18b2o36bo2bo12bo19b3o15bo23b2o
2b3o40bob2o27b3o38b2o5bo3bo15bo3b3o14b3o18b3o14b2o35bob2o21b2ob2o42bo
30bo29bobo5bobobo5b3o17b4o15bobo19b5o13bo27bo8bobo22b3o46b5o17bo4bo31b
3o2b2ob3o7bo18b2ob2o4bo10b4o17b3o6bo36bob2obo2bo21bo4bo39b2o4bo4bo19bo
2bo33b2ob2o3bo8bo19b3o6bo8b2obo19bo6bo38bobo3bo21bo3bo2bo38b3o4b3obo
20b2o14bo2bo17b3o13bo20bo17b2o21bo4bo42bobo20bobo5bo40bo6b3o16bo4bo16b
o20bo15b3o59bo2bo$10bob3o32bobo3bo3bobo28bo3b2o10bo19bob2o3b2obo35bobo
bob2ob2o19bo3bobo46b2ob2o19b3o34bo3bobo3bo26b3o4bobo30b2o5b2o36bo4b2ob
2o20bo3bo41bo6bo24b2o35b3o3b3o8bo26b3o7b3o20b2o3b2o38b3o3b2o20b3o2b2o
41b2o5b3o17bo58bo26b2ob2o5bo22b2ob2o44b3o3bo16bobo3bo37bo4bo26bo2bo39b
obo39bo2bobo28b2obo46b4o18bo3bo33bob3ob3obo27b2o5bo10b2o18bobo5bobo35b
obobo4bo19b2o5bo46b2ob2o19b3o35b3o3b3o28bo5b3o8b2o20bo7bo37b3obo2bo21b
4o50b3o21bo16bo20bo5bo9b2o25b2o3bo4b2o21bo2bo2bo39bo3b2o27bo31bobo3bo
3b2o6bo18b2o2bo37bo2bo2bo37b2ob2o4b3o21bo3bo$11b3o38bo6bo26b2o38b2o2bo
2bo36b3o2b5o24b2o47bo24bo36b3obo4bo44b2o19b2o6bo37b2o4b3o21bo3bo49b3o
63bo2bo34b2o31b3o2b2o38bo5b2o23bob2o33bo8b2o72b3o34b2o5bo4bo21b2ob2o
40b3o7bo22bo33bobobo6b2o26bo41b5o35bo2b2o5b2o22b2o48bo2bo20b3o35b3ob2o
2b3o26bo5bo31bo6b3o37bo3b2ob2o23b3o48b2o60bo3b2ob2o33b2o10bo20bo6bo37b
2ob2ob3o22b3o42bo8bo65b3o34bobobo2bo26bo4bo39b3o3bo22b2ob2o45bo71bo36b
ob2o2bo27bo2bo$12bo36bobo7bo65b5o40b2o4b2o26bo43bo5b2o62bo2bo2bo33b2o
32bo4bo37b2o2bo30bo43bo70bo3bo33bo5bo28bob3o38bo3bobo28bo42b2obo69bobo
34bob3o3bo27b3o40bo3bo26b3o44b2o65bo4bo37bo3bob2o28b2o41b3o4bo61bob2o
3b2o67b2o2b2o39bo4bo78bo63b2ob2o35bo31bobo3bo37bo4b2o28bo41bo73b2obo
33bob3o30bo3bo39b3obo27b2o35bo8bobo71bo35b2o2b2obo27b3o$58bo67b4o37b4o
3b3o70b3o68bo4bo68b2ob2o36b3o6bo66bo4bo70bo2bo36bo33b3o38bo6bo26b2o38b
o3bo2bo70b2o35bo4bo31bo40bo4bo65bobo5bo66bo4bo37bo4b2o71bo2bo67b3o2b2o
68b2ob2o36bo2bo4bo66bo4b3o68b2ob2o73bo37bo6b2o26bo38bob6o69b2o36bob4ob
o28b3o39b2o2b3o26bo44b3o65bo3b3o35b2o4b2o$51bobo3bo69bo2bo39bo2b2obo
69b2obo68bo3bo71b2o36bobo5bobo64b2o5bo70b3o38bo4bo28bo38bo7bo66b4o74bo
37bo4bobo68bo2bo2bo72bo68b2o2bo37bobo5bo68bo3bo68bob3o73bo35bob2o3b2ob
o65bo3bobo70b3o38bo32b3o37b2o5b2o66bo3bo73b2o40b2o70b2o3b2o66b3o2b2o
68bo42bo4b2o$56bo72bo41b5o69b2o72b3o43b2o27bo37bo6b3o69b3o113bo3bo67bo
6bo68b3o117bobo68bo4bo68b2ob2o114bo3bo69bo2bo70b3o72b2o38b2o2bo2bo70b
2o72bo40bo3b2o65b2o6bo67bo3bo115b4o67b3o2b2o69bob2o118bo$53b3o43bo67bo
4bo73b2o115bo70b2o2b2o188bob2o67bobo3bo72bo116b2o69bo3bo71b2o118bo70b
3o72bo44b2o66b5o74bo116b3o68bo4bo72bo115b2obo68bob3o73bo114bob2o$99bo
67bo4bo190bobo68b2ob2o191bo73bo72bo115bo2bo70b3o72bo112bo3b3o190bo69b
4o192b2o68b2ob2o191bo70b3o72b2o116b2o$168b2o2bo265bo190bo71b3o190b2o
260bo266bo2bo263b2o190b2o72bo191bo$436b2o987bo264bo!

[confocaloid]

I suggest to start with a definition of what you currently mean by "the same family" and "the family" in this question.
Once there is a meaningful definition, it should be easier to tell the answer.
By itself, "the family" is just a phrase.

For example, the oscillator is statorless, while the gun isn't. This may or may not be important for the purposes of this question.

Is this p347 gun from Highlife from the same family as the p59 oscillator below it? Is the family (59+96n by my calculations, 347 being equal to 59+96(3)) infinitely adjustable?
[...]

[WhiteHawk]

Looking at Herschel conduits which function under several near-life rules sporting B4e (B34e/S23 to B4ce8/S234c5e8), of which there are several from life and a couple from other rules (e.g. Lx129 from Eightlife).

Does anyone know of any known H-to-G converters which function under B4e, preferably with NE or NW glider lanes and good repeat time? Turners/glider converters which also work under S4e also would be helpful. Note Eater 5 fails under B4e since it relies on a tub.

[rattlesnake]

Is there a spacefiller in Day and Night?

[confocaloid]

[...] Does anyone know of any known H-to-G converters which function under B4e, preferably with NE or NW glider lanes and good repeat time? [...]

Many known Herschel-to-glider converters can be found in the forum thread viewtopic.php?f=2&t=1682 One can try to load a stamp collection from there, switch the ruleset and see which converters continue to do what they are supposed to do.

Is there a spacefiller in Day and Night?

I'm not aware of any known. Looked through the external links. The article "DayNight.txt" ("Day & Night - An Interesting Variant of Life" by David I. Bell) lists the following as an open question:

Is there a quadratic growth pattern in which a single blob grows to fill the entire universe?

[WhiteHawk]

Has the herschel in 4diagonal been made into an oscillator yet? It creates gliders (and some junk) and flips itself in 144 generations.

Code: Select all

x = 146, y = 112, rule = B34c/S23
12$136b2o$137b2o$136bo13$94b2o$93bo2bo$92bo$91bo2bo2$95bo$91b2obob3o$
93b2o2b3o$96bob2o$95b3obobo$95b3o4bo$96b2o$97b2ob2o2$18bo79b2o$18b3o$
18bobo$20bo5$104b2o$104b2o11$108bo$108bobo$97b2o9b3o$97b2o11bo14$112b
o$113bo$111b3o!

[confocaloid]

Has the herschel in 4diagonal been made into an oscillator yet? [...]

That feels more like a "curiosity"-type observation for MDiOCA/TFYUCA threads, rather than as a "basic question". As far as I see, the reaction is specific to the cellular automaton B34c/S23 (maybe give or take B8 and/or a few other rules, depending on restrictions on the CA type/space), and the question boils down to whether or not someone already did engineer an oscillator using the reaction. (I don't know whether anyone did, and I don't myself see an immediate obvious way.)

Further, the reaction you posted (the fact that Herschel reappears turned 180 degrees in 144 ticks, while leaving some ash) is already known, and can be found by a forum search.

[...]
Herschel is a failed reflectorless rotating oscillator. It rotates one cycle but gets destroyed by its ash.

Code: Select all

 x = 6, y = 24, rule = B34c/S23History
D$3D$D.D$2.D17$3.E$3.E.E$3.3E$5.E!

[...]

[WhiteHawk]

Is there any p45 gun engine which could have any chance of being gunned in B38/S23, since it seems most p45 gun engines in life, even discounting the Pentadecathlon (which fails), seem to all query B8 and therefore fail?

EDIT: the few p45 life oscillators which function in this rule besides Snarks and LCM oscillators

Code: Select all

x = 315, y = 86, rule = B38/S23
66bo$65bobo$63b3obo$62bo4bob2o$62bobobobobo$57b2o4b2obobo$58bo8bobo6b
2o$58bobo7bo7b2o32bo129bob2o7b2o3b2o28b2o$59b2o48bobo45b2o74b2o5b2obo
7bobo2bo30bo$107b3obo45bobo72bo2bo2b2o7bob2o2bo3bo27bo$70bo35bo4bob2o
44bo2b2o69b2o2bobob2o4b2obobob4o27b5o$68b2ob2o33bobobobobo28b2o13b2ob
obo24b2o4b2o38bob2o2b2o2bo7bobo34bo$68b2ob2o28b2o4b2obobo31bo16bo26bo
bo2bobo38bo2bo5b2o6b2obob2o25b4o16b2o2b2o$68b2o2bo29bo8bobo6b2o22bobo
11b4o28bo2bo12bo22bob2ob2o19bobo25bo2bo16bobo2bo$58bo11b2o30bobo7bo7b
2o23b2o11bo3b2o25bo4bo9b3o22b2obo72bobo$57bo45b2o54b3o2bo24b2o2b2o8bo
28bo71b2ob2o$57b3o39bo61bob2o26b2o10b2o6b2o19b2o69bo2bo2bob2o$90b2o7b
3o12bo24bo21bo49bo92b2o2b2obo2bo$91bo10bo9b2ob2o22b3o18b2o47bobo67b2o
30bob2o$62b2o27bobo7bobo8b2ob2o25bo66b2o69bo30bo$62b2o28b2o2b2o4bo9b2o
2bo18b2o4b2o8b2o75b2o20bo29bobo13b2o12b2o$96b2o16b2o20bo13bo2bo26b2o47b
o10bo8bobo29b2o14bo$69b2o65bobo12bobo27bo47bobo7b2obo6bob2o33b3o12bo$
64bo4b2o2b2o28b2o32b2o12b3o27bobo16b3o27b2o10bo4bo10b2o26bo2bo10bob2o
$63bobo7bobo27b2o38b3o12b2o22b2o6bobo7bobo34b2obo6bob2o7bobo25b2obo10b
o2bo$64bo10bo67bobo12bobo29bobo7bobo6b2o27bobo8bo10bo27bo12b3o$46bobo
16b3o7b2o29b2o35bo2bo13bo29b3o16bobo27bo20b2o30bo14b2o$46b2o19bo38b2o
36b2o8b2o4b2o49bo66b2o12b2o13bobo$47bo106bo56b2o65bo30bo$95b2o16b2o20b
2o18b3o117b2obo30b2o$94bo2b2o9bo4b2o2b2o16bo21bo24b2o72b2o17bo2bob2o2b
2o$52b2o40b2ob2o8bobo7bobo12b2obo45bobo73bo19b2obo2bo2bo$53b2o39b2ob2o
9bo10bo12bo2b3o43bo75bob2o20b2ob2o$52bo43bo12b3o7b2o12b2o3bo11b2o28b2o
6b2o10b2o30bobo19b2ob2obo21bobo$111bo23b4o11bobo36bo8b2o2b2o28b2obob2o
6b2o5bo2bo25bo2bobo16bo2bo$106b2o27bo16bo33b3o9bo4bo31bobo7bo2b2o2b2o
bo25b2o2b2o16b4o$89b2o7bo7bobo24bobob2o13b2o32bo12bo2bo29b4obobob2o4b
2obobo2b2o43bo$35bo53b2o6bobo8bo24b2o2bo59bobo2bobo27bo3bo2b2obo7b2o2b
o2bo42b5o$35bobo60bobob2o4b2o27bobo57b2o4b2o28bo2bobo7bob2o5b2o47bo$35b
2o59bobobobobo33b2o92b2o3b2o7b2obo52bo$96b2obo4bo197b2o$99bob3o$41b2o
56bobo$40bobo57bo$42bo3$154b2o$25bo124b2o2bo$23b2o124bo2bobo$24b2o119b
2obob3ob2o$145bob2obobobo$156bo$30bo115b4obob3obo$10bo19b2o113bo3b2ob
2o3bo$b2o7b3o16bobo114b3ob3ob3o$2bo10bo134bo5bo40bo2bo42b2o15bo$2bobo
7bobo156bo21b3o2b3o40bobo12b3o$3b2o2b2o4bo135bo3bo9b3o3b3o20bo8bo40b2o
11bo$7b2o142bo11b2o3bo23b2o6b2o36b2o15b2o$162b2o2bo2bo67bobo$14b2o145b
o2bo4bo67bo$14b2o148b2ob2o67b2o13b2o$152b3o6bob2o24b3o10b3o45bo$152bo
2b2o6bo24bo3bo8bo3bo43bo2bo$18b3o131b2o2bo6bobo21bo5bo6bo5bo43b2o$20b
o114b2o7b3o7b3o7b2o21bo5bo6bo5bo42bo2bo$6b2o11bo115bobo6bo2b2o38bo5bo
6bo5bo44bo$5bo2b2o127bo6b2o2bo39bo3bo8bo3bo43b2o13b2o$5b2ob2o126b2obo
6b3o40b3o10b3o59bo$5b2ob2o122b2ob2o125bobo$7bo123bo4bo2bo105b2o15b2o$
131bo2bo2b2o107bo11b2o$17b2o113bo3b2o11bo35b4o7b2o7b4o34b3o12bobo$2o7b
o7bobo109b3o3b3o9bo3bo32bo4bo5b4o5bo4bo33bo15b2o$2o6bobo8bo109bo47b2o
6bo3bo4bob2obo4bo3bo6b2o$9bobob2o4b2o125bo5bo23bo2bo3b3o2bo3b3o4b3o3b
o2b3o3bo2bo$7bobobobobo128b3ob3ob3o21b3o4b2o6bo3bo2bo3bo6b2o4b3o$7b2o
bo4bo127bo3b2ob2o3bo23b2o2b2o5bob4o2b2ob2o6b2o2b2o$10bob3o128bob3obob
4o19b4o3b3o6bo8bobo8b3o3b4o$10bobo131bo29bo2bobo3bo4bobob3o4bobo8bo3b
obo2bo$11bo134bobobob2obo23bob2o5b2obob2o5bo10b2obo$145b2ob3obob2o22b
2obo9bo20bob2o$146bobo2bo26bo2bo9b2o19bo2bo$146bo2b2o28b2o32b2o$145b2o
!

[Citation needed]

Is there a spaceship that can be reflected by the edge of LifeViewer?

[confocaloid]

Is there a spaceship that can be reflected by the edge of LifeViewer?

Since this goes in the "Other Cellular Automata" board, and LifeViewer supports a lot of different cellular automata, my intuition tells me the answer should be "Yes", even before any attempts to find a solution.

I'm not sure about Conway's Life, though (would it be possible to engineer such a spaceship in B3/S23 which would fit in LifeViewer at all?)

[Citation needed]

Is there a rule named "Petrel"? A friend of ColorfulGalaxy's commented that the name "CGoL" didn't sound good, as it was a homophone of "seagull".

[b-engine]

Is there a rule named "Petrel"? A friend of ColorfulGalaxy's commented that the name "CGoL" didn't sound good, as it was a homophone of "seagull".

Rule:Petrel returns a blank page (i.e. HTTP 404).

[Haycat2009]

How do I make custom rules with RNG mechanics?