ConwayLife.com - A community for Conway's Game of Life and related cellular automata
Home  •  LifeWiki  •  Forums  •  Download Golly

Thread for Your Accidental Discoveries that Aren't in CGOL

For discussion of other cellular automata.

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby toroidalet » August 7th, 2017, 9:47 pm

Gamedziner wrote:EDIT3: A two-barreled gun in related rule B0235/S1234:
x = 7, y = 6, rule = B0235/S1234
2bo$obob3o$bob3o$bob3o$obob3o$2bo!

Sparky p136:
x = 123, y = 123, rule = B0235/S1234
37bo3$33b2o28$78bo$76b3o$76b3o40bo$78bo40bo$49b2o26bob2o3b2o$50b5o22b
2ob5o$35bo2bo11b5o22b2ob5o37bo$35b4o10b2o26bob2o3b2o$36b2o40bo$36b2o
38b3o$36b2o38b3o$35b4o39bo$35bo2bo$31b4ob2ob4o$32b2ob4ob2o$32b2o6b2o3$
84bo2bo$84b4o$85b2o$85b2o$85b2o$85b2o14$36b2o$36b2o$36b2o$36b2o$35b4o$
35bo2bo3$81b2o6b2o$81b2ob4ob2o$80b4ob2ob4o$84bo2bo$44bo39b4o$44b3o38b
2o$44b3o38b2o$44bo40b2o$37b2o3b2obo26b2o10b4o$o37b5ob2o22b5o11bo2bo$
38b5ob2o22b5o$37b2o3b2obo26b2o$3bo40bo$3bo40b3o$44b3o$44bo28$88b2o3$
85bo!
I have the best signature ever.
User avatar
toroidalet
 
Posts: 676
Joined: August 7th, 2016, 1:48 pm
Location: Somewhere on a planet called "Earth"

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby Gamedziner » August 7th, 2017, 10:26 pm

toroidalet wrote:Sparky p136

Wow, that is enormously sparky! :shock:
A base-2 ruler for all your measuring needs in CGOL:
32b32o$16b16o16b16o$8b8o8b8o8b8o8b8o$4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
Gamedziner
 
Posts: 339
Joined: May 30th, 2016, 8:47 pm

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby BlinkerSpawn » August 7th, 2017, 11:43 pm

p272 pulse gun:
x = 178, y = 190, rule = B0235/S1234
130bo$130b3o$130b3o$130bo$123b2o3b2obo26b2o$124b5ob2o22b5o$124b5ob2o
22b5o11bo2bo$123b2o3b2obo26b2o10b4o$130bo40b2o$130b3o38b2o$130b3o38b2o
$130bo39b4o$170bo2bo$166b4ob2ob4o$167b2ob4ob2o$167b2o6b2o3$121bo2bo$
121b4o$122b2o$122b2o$122b2o$122b2o14$171b2o$171b2o$171b2o$171b2o$170b
4o$170bo2bo3$118b2o6b2o$118b2ob4ob2o$117b4ob2ob4o$121bo2bo$121b4o39bo$
122b2o38b3o$122b2o38b3o$122b2o40bo$121b4o10b2o26bob2o3b2o$121bo2bo11b
5o22b2ob5o$136b5o22b2ob5o$135b2o26bob2o3b2o$164bo$162b3o$162b3o$164bo
31$47bo$45b3o$45b3o$47bo$18b2o26bob2o3b2o$19b5o22b2ob5o$4bo2bo11b5o22b
2ob5o$4b4o10b2o26bob2o3b2o$5b2o40bo$5b2o38b3o$5b2o38b3o$4b4o39bo$4bo2b
o$4ob2ob4o$b2ob4ob2o$b2o6b2o3$53bo2bo$53b4o$54b2o$54b2o$54b2o$54b2o14$
5b2o$5b2o157bo$5b2o155b3o$5b2o155b3o$4b4o156bo$4bo2bo127b2o26bob2o3b2o
$136b5o22b2ob5o$121bo2bo11b5o22b2ob5o$50b2o6b2o61b4o10b2o26bob2o3b2o$
50b2ob4ob2o62b2o40bo$49b4ob2ob4o61b2o38b3o$53bo2bo65b2o38b3o$13bo39b4o
64b4o39bo$13b3o38b2o65bo2bo$13b3o38b2o61b4ob2ob4o$13bo40b2o62b2ob4ob2o
$6b2o3b2obo26b2o10b4o61b2o6b2o$7b5ob2o22b5o11bo2bo$7b5ob2o22b5o$6b2o3b
2obo26b2o127bo2bo$13bo156b4o$13b3o155b2o$13b3o155b2o$13bo157b2o$171b2o
14$122b2o$122b2o$122b2o$122b2o$121b4o$121bo2bo3$167b2o6b2o$167b2ob4ob
2o$166b4ob2ob4o$170bo2bo$130bo39b4o$130b3o38b2o$130b3o38b2o$130bo40b2o
$123b2o3b2obo26b2o10b4o$124b5ob2o22b5o11bo2bo$124b5ob2o22b5o$123b2o3b
2obo26b2o$130bo$130b3o$130b3o$130bo!

Can easily be thinned out to make 1 ship per period but it's late.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
User avatar
BlinkerSpawn
 
Posts: 1426
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby AbhpzTa » August 9th, 2017, 2:37 pm

Rhombic wrote:45º reflection in a t-like rule with great potential for gun construction practice. The oscillator itself has many possible interactions because of its short-lived spark nature.
x = 10, y = 12, rule = B35cijk6cn/S2-in3-k5kry6ikn
o$b2o$2o4$5b3o$4bo2bo$4bo3bo$4b2o2b2o$6b3o$7bo!

That is 135-degree G-to-T.

45-degree T-to-G:
x = 22, y = 9, rule = B35cijk6cn/S2-in3-k5kry6ikn
o$2o$o4$19bobo$21bo$19b3o!

p26 glider gun:
x = 18, y = 16, rule = B35cijk6cn/S2-in3-k5kry6ikn
15bobo$15bo$15b3o4$b3o$o2bo$2obo$b2o3$9bo$7b2obo$8b2o$9bo!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa
 
Posts: 313
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby Saka » August 10th, 2017, 9:13 am

Tiny *2-able RRO found while messing around! Smallest one yet?
x = 9, y = 20, rule = B3-n4rtw5i/S23-n4q5i
bo$3o$ob2o13$5b2obo$6b3o$bo5bo$3o$ob2o!
Everyone, please stop posting B/S about CA
The Bugs Range 1 to 100 Project
User avatar
Saka
 
Posts: 1922
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby Gamedziner » August 13th, 2017, 2:30 pm

P7 (Predecessor shown):
x = 3, y = 3, rule = 236/2-a3i4a5678/5
.A$A.A$.A!

The rule itself seems to be not explosive, could someone confirm this?
A base-2 ruler for all your measuring needs in CGOL:
32b32o$16b16o16b16o$8b8o8b8o8b8o8b8o$4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
Gamedziner
 
Posts: 339
Joined: May 30th, 2016, 8:47 pm

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby Saka » August 14th, 2017, 7:14 am

*Makes random rule*
WHEN SUDDENLY
x = 4, y = 4, rule = B2e3i6i/S12
2bo$bobo$o$b2o!

x = 5, y = 10, rule = B2e3i6i/S12
2bo$bobo$o$b2o2$3bo$2bo$3b2o2$2b2o!

Edit: Works without 6i
Everyone, please stop posting B/S about CA
The Bugs Range 1 to 100 Project
User avatar
Saka
 
Posts: 1922
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby wwei23 » August 14th, 2017, 10:08 am

6 cell infinite growth in a one-spaceship rule:
x = 4, y = 3, rule = B2ce3-ai/S23
obo$o2bo$bobo!
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
User avatar
wwei23
 
Posts: 642
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby Saka » August 14th, 2017, 10:11 am

wwei23 wrote:6 cell infinite growth in a one-spaceship rule:
x = 4, y = 3, rule = B2ce3-ai/S23
obo$o2bo$bobo!

Here's a cool variant:
http://www.conwaylife.com/forums/viewtopic.php?f=11&t=2714
Everyone, please stop posting B/S about CA
The Bugs Range 1 to 100 Project
User avatar
Saka
 
Posts: 1922
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby toroidalet » August 14th, 2017, 10:51 am

wwei23 wrote:6 cell infinite growth in a one-spaceship rule:
wickstretcher pre

I doubt that rule has only 1 spaceship.
But we can do better than this:
4 cell infinite growth in a rule that also only has 1 (known) spaceship:
x = 6, y = 3, rule = B2cek4c5y/S02i3j
obo$5bo$o!

EDIT: rule-specific :( p416 (this rule is explosive)
x = 5, y = 3, rule = B34-a5y/S23-ijn4a5aj
2b2o$b4o$5o!
I have the best signature ever.
User avatar
toroidalet
 
Posts: 676
Joined: August 7th, 2016, 1:48 pm
Location: Somewhere on a planet called "Earth"

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby Saka » August 15th, 2017, 5:55 am

waitwhat
x = 7, y = 13, rule = B2e3ai4a5j6n/S2-n3ijr4it
2bo$5o$o4bo$2o3bo$3bob2o$2b2obo$3bobo2$3o$obob3o$2obo2bo$3bo$3b2o!
Everyone, please stop posting B/S about CA
The Bugs Range 1 to 100 Project
User avatar
Saka
 
Posts: 1922
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby drc » August 15th, 2017, 5:29 pm

What's the fractal?:
x = 16, y = 20, rule = B2e3ai4a5j6n/S2-n3ijr4it7
b3o$bobo$2ob2o$bobo$b3o5$11bo$10bo5$13bo$11b5o$11bo3bo$11b5o$13bo!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)

B2-ac3i4a/S12
User avatar
drc
 
Posts: 1592
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby wwei23 » August 15th, 2017, 7:22 pm

drc wrote:What's the fractal?:
x = 16, y = 20, rule = B2e3ai4a5j6n/S2-n3ijr4it7
b3o$bobo$2ob2o$bobo$b3o5$11bo$10bo5$13bo$11b5o$11bo3bo$11b5o$13bo!

That's some 1D cellular automaton, I can't figure out which one. It isn't elementary, as we have 000 to 1 and 000 to 0. Perhaps next-nearest neighbors?
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
User avatar
wwei23
 
Posts: 642
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby drc » August 15th, 2017, 7:24 pm

I also noticed this:
x = 10, y = 12, rule = B2e3ai4a5j6n/S2-n3ijr4it7
2ob2o$bobo$2ob2o3$3b2o$4bo$3b2o2$5b2ob2o$6bobo$5b2ob2o!

Now we have a gun for periods 56+12n. Next isomer:
x = 13, y = 12, rule = B2e3ai4a5j6n/S2-n3ijr4it7
2ob2o$bobo$2ob2o3$6b2o$7bo$6b2o2$8b2ob2o$9bobo$8b2ob2o!

EDIT: One barreler:
x = 19, y = 12, rule = B2e3ai4a5j6n/S2-n3ijr4it7
9b2ob2o$10bobo$9b2ob2o2$b2o$2bo9b2o$o12bo$2o10b2o2$14b2ob2o$15bobo$14b
2ob2o!

EDIT2: Last edit but I also noticed the hassled glider can enter 3n steps away:
x = 40, y = 12, rule = B2e3ai4a5j6n/S2-n3ijr4it7
9b2ob2o$10bobo$9b2ob2o2$b2o35b2o$2bo35bo$o37b2o$2o2$14b2ob2o$15bobo$
14b2ob2o!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)

B2-ac3i4a/S12
User avatar
drc
 
Posts: 1592
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby M. I. Wright » September 6th, 2017, 4:23 pm

A tiny p52 reflectorless rotating osc, minpop 6:
x = 16, y = 8, rule = B2k3-ckny4j/S2-e3-ckry4j5c
o11bo$2o10b2o$ob2o8bob2o3$10b2obo$12b2o$13bo!
I think this is the smallest RRO yet! (Coming in at just one cell under Saka's, the smallest out of the four listed on the wiki.) The above is its minimum rulestring, though I found it in B2k3-ckn4ej/S234cjy5acknr.
M. I. Wright
 
Posts: 290
Joined: June 13th, 2015, 12:04 pm

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby muzik » September 7th, 2017, 12:13 pm

what...I just...wow.

x = 156, y = 163, rule = B3ai/S3ai4a5ai6acn7c8
25b2o5b3ob3ob3o2bo2b2o2b4o2b2o3b2ob3obo2b2obob2obo3b2o2b3o3b6obob3obob
o3b2ob3o3b5ob6o2b2o2bo3b2obo2b2o$28bobob2o2bob2o3bo2bobo2bob2o4b4o3b4o
b2ob2o2bob3o5bo2b2ob2obo2bo2bob7obo3bob3o2b2obob3obobo4b2obo2bob4o$24b
ob5ob4o2b3o3bob3ob3o2b3o3bo2bo2bob3obob3ob2obo2b2obobo3bobo5b2o2b3obo
2bo3b3o2b2o4b2o3bo2b2o2bobo2b8ob2o$26bobobo5b2o2bo3b2o3b2ob2ob2ob5o4b
2o3bo2bobobob3ob2o9b3o7b4o2b2o4bo2bo2b2obob3ob5o3bo3bobobo$24b2obo5b3o
4b3ob2obob2ob5ob2o2b3o2b2ob2ob3ob7ob4o6b2o3b3obo3bo2bobob2ob3o2bo4bob
4ob2o2bob2ob5obobob2o$25b2o2bobo2bob4o7bo2bobo2bob4o4bo2bo3b3ob2o2b2o
2bo4b2obo2bo2b2o6b4o3b2ob3o4bob7ob5obobo2bo2b2o4b2o$24b2ob2ob3obo4b5ob
5ob2obo5bo2b4ob3o2b4ob2ob3o4bo4bo4b6ob5obob2o4b2obo3bo2b3obobo2bo3bo3b
o3bo2bobo$23bob2o3b2o4b6o3b2o4b3ob3ob3o3b5obo2b2o3bobobo2b6obo2b2o4b2o
3bobobob3o2b3o3b2o2bobobob7o7bo4bobo$24b3ob2o2bo5b3o2bobo2bobob2obobob
o2bob2o2bo3bo3bo8b4o2b3ob2obo5b2obob4o2b2o2b2o2bob2obob4o2b2o2b3ob3o5b
obo$24b2obo2bobob3o4bo3bob4o2b3obo2b4o4b4ob2o3bob2obo4b2ob4obo6bob4ob
4ob2ob3ob2o2bob2ob3obo2b2ob2o2bo4bob3o$23b3o2b4ob5o2b2o2b2obo2bob2o2bo
bob4obo2bobob5obo2bo2bo2bobobobo3b2ob2ob2ob3ob2obob3o2bo2bobo3bob3o2bo
5b2obobobo5bo$24b3obob8obo4bobob2o3b2obo2bo4bobo4bo2b3obo4bo4bo2b3obob
2ob4obo3bob7o2bob5ob4o4b4o2b2obobobobobo$25b2o2b2o2b2obob2o3bob2o4bo5b
10ob2o5bobob2obo2b2ob4o2bo10b2obobo3b3obobo3bo2b2o2b7o4b2obobob3ob2o$
23bo2bo2b2o3b2o2b2obobo3b2obo4b2ob4o2b7o2b3o3b3obo2bob2ob4o2bob5obob2o
b5o4bo3b2o3b4ob3ob2o3bo6b4ob2o$23bobob2ob2o5bo2bobob2obob3ob2ob3o2b2ob
2o2bob2obob5ob2obo4b7o3bo3b2ob2o5bobobob7o4b2ob2obob3o3b2o5b2obo$27bob
ob8o2bo3bobo2b13o3bo2bo5bobobo2bob4obo5bo5b5o2b7obobo6b3o4bob2o2b2o5b
3o4bobo$24bob3o2bo2bo6bo9b3obob3ob2ob3o3bo2b2ob2o2bobob2obo3bob2ob2o3b
ob4o2b2o2b2o2b2ob2o2b2obob2obob2o2bobobo5bobobobo$23b4o3b2o4bobo2bob3o
5b2o2bo3b6obobobob2o4bobo3b2o2b3ob3o2bo4b2o5b2ob4o4bobob3obo5bobob2o2b
2obo4b5o$23b4o2b2ob2o3bobob2obob2o2b2o3b2o2bobo6b3o2b2ob3o2bo3b2obobob
2o4b3obo2bo2bo2b4o2b2ob2obo2bo2bobo4bo3bobobob2o3bo$23bob2o3b2o2b2o4bo
b6o2bobo2b4obo2b5ob2ob2o3b2o2b4obobob2obob3ob4obobo2b2o5bo2bobo2b4obob
o3bobobo2bobo9b2o$24b2ob2o2b2o2b2ob3ob2o2bobob2obo2bo3bob2ob5ob5ob2o2b
2ob3ob4o3bo2bob4o8bo5b2ob2o3b2o4b2o2b3o2b2o6bob2ob2o$25bo2b3obob3obo3b
4obobo2bobo2bo7b3o2bo3bo2bo2b2o2b2o4bo4b4obobobo2bo4b2obob2obo2bo2bo2b
ob2o6bob4obob2ob2o2bo$23bobo2bo2bo3b9ob6o2bobobo3b2o6b2o5b4o2b2ob2o2bo
b2o2b2o3b4ob5o2bo2b2ob2o3b4ob3obobob3o2b2ob2obob4o$23b3obobob3o4b3o2bo
b2obo4b2o3b2o4b3ob2o2b2o2b4o2bobo3b4obo2bo3bo2bobobo3bob2o3bo2bo2bo3bo
bo2b2obob3o3bo2b4ob2o$25b2o2bob3o4bobobobo3b2ob3obo4bob5obo3bobo2b2obo
bob3obo5b6obobobo2b5obo2bob2o2b7ob2ob2o3bobob2o4bobobobo$25bob2ob2o3bo
bo2b3o2b2obo4bo2bo2bobo3bo7b3ob3o2bob2o2bob3o3b2obob2o5bo2bob3o4b2o3bo
3b3o3bo2bob6obo2bobo$23bo5bo4b4o2bo2bo2b2o4b3o2bo5b2o2bob2o3b3ob2o4b3o
2b2obo2b6obo5bo5bob7ob2obobo8bobob2o2bob2o2bob2o$23b2o2bo2bob2o4bob3ob
2ob2o2bob2o3bobo2bo2b4o4b2o2bo2b3o2b4ob2o4bo2b4ob3ob4o6bo5bo2bo2bo3b3o
b2o3bo5bob2obo$24bobob4o2bo2b7ob2o4b5o3bobo8bo2b2o2b5ob2o3b3o5bob4o2bo
2bo3bobob2ob2obob2ob2ob2o2b4o4bobobobobob2o$23bo2b2ob2o2bob2o5bob4o3b
2obob3obo2bobo5b5o2b3ob3o4b2ob5obobobo4bobobo3bo5bobobo2bobo3b3obo2bob
o3b2o5bo$23bobo2b2o2bobob2o2bob3o2b2ob2o2b2o2bo3bo2b4obob4ob2ob2o3bob
4o5b2obobo2bo2b4o3b3o3b2o2b2o2bo5bobobobo2bobob2ob2obo$25b3ob2o2bobo5b
2o2bobo2bobo2bobob5o2bo2bo3bobob2ob3o4bob2obob2o2bobo2bo2b4obob5o2bob
3obo6bo4b2ob4o2b2o3bobo$26b2o2b4o2bobo3bo5b2ob2o2b2o2bob3obo2b4o3bobob
o2bo2bobo6b3o2b2o6bob2o3bo3bobob2o3bo5b3o2bo2bobob3obob2ob2o$23b2ob3o
3bob2o5bo2b3o2b2o8bo2b4obo2bo3bob3ob4ob2ob6ob3o3bob3ob5ob3o2b2ob4obo2b
3ob2ob5o2b3ob2o4b2o$23b2o3bo3b2o2bo2b2obob4o5b7o2b3o2bob2obob2ob2obob
5obo5bob2obo6bobobo3bo4b3obo3b3obobo11b3ob4ob2o$25b3o2bo2bo2bo3b2obob
2o2bobo5b2obob6obobo3b2obobo2b2ob8ob5o5bo3bo5b2o2bo2bob5obobob2o2b3obo
5b2o2bobo$28bo2b2ob2ob3obobo3bobo2b3obo2b2o3b3o4b4o4bo2bobo2bo2bobo4b
6ob3obob2o3b2obob3obobo4bo4b3o4b6obo2b2o$23bo4bobo2bo2b2o3bob2obo2bob
5ob2obo3bo2bo2bob2o2b2obo3b6ob5o3b3o3bo3bobo2b3ob3o3b3o3b2ob2o2b2ob3ob
3obo2b2obobo$23b2obob2o2bob2ob2obobo2b3obobobob3o2b2o2bo3b7obob4o5bo3b
2obo6b2obob2o4bobobobo3bobo2bobobobob4o2bo2b3ob3o2bobo$23b3o2bo4bob3o
5b2obobobo2b2obo2bob3o4b3o3bo2bo2b3o4bo2bobo2b2obo2bo7bo2b4obo5bobobob
7o2bo2b5o3b5o$23b3o2bo3bo2b3ob2o4bo4bobob2o2b3o2bob3o3b3obobo4bob2o3b
3o3b4ob7o5b2obo3bob3ob4ob5o2bobobo2bo4b4o2bo$24b2o3b4o6bo2b3o2bo3bo2b
4obobo2bob2o2bobobo3b4obobo3b3ob2o2bo3b3ob3o2bob3obobo2b2o2bo2b2o4b4ob
o2bo2b2ob3o3b2o$23bo2bob3ob2obobob3o6b3obo2bo5b2o4b2o3b6o3b4obobo2b2ob
o2bobo3b6obob2o2bo3bo2b2o6b2o2b2ob2obob3obobob2ob2o$24b2o2b2obob2ob4o
4b2obob2o2b6o5b2o5b3o3bo5bo2b2o2b2o2bobobob2o5b3o2b2o2bob2obo2b11o6b2o
b2o3bob2ob2o$26bob7o3bobo4bo2b2o2bob4obo3bo2bobo2b4ob3ob5ob4o2bo3bo2b
2o2b2o2b4obo2bo4bo2b2obobobob4obo3bo4b3obobob2o$23bo2bob3ob2o3b5o6bobo
2bob2obob2ob2o3bob2o2bob2o2bobo3bobo2bob2o2b2o3bo5b5o7b6o2b2o2bob3o2bo
2b2o2b6obo$23bobob3o2bo2b5ob6ob2o2bo2b6ob6o4bo4bobobob2o2bo5b3obo2b2ob
3o2bobob2o2b3o5bo2b5obo5bobob2ob2o2b6o$27b3ob2o2bo4bob3ob2o2bo3bo2b2ob
o7b2obo3b8o4b2ob4o2b5obo3b6o6bo3bob2o2b3o3bob3ob2o5b3obo2b2o$23b2o5b3o
b3o2b2o3bo2bobo3b4o3bobob3ob3o4bobo3b4o2b2ob2ob2o3b4o2b2ob4obobo2bob3o
b8ob4obobo2b2o5bo4bo$24bo2b2ob2obob4o3b3o3bo2bobob3o2bo3b3obo4bobo2bo
5b2obobo3b2ob3o3b2obo2bo2b2o5bob2obo2bo2bo2b3obo3bob2ob2o2b3obo$25b2o
4b4o3bob2o8b2obobob3ob2o5bo6bobo4b4ob3o5bo2b2o2bo2bobo2b3obo5bo2b4o4b
6o2bob2ob5o2bo$24b2o2bobobob6o3bo5bobobo2bob2o2bo2bo2bobob4o4b2ob3o3b
9ob5o2b4o2b3o3bobo2b4obo2bob3o2bobobobobob4o$23b3o2b2o3bobo3bo3b2obobo
2b3obo3bo4bob7obo8b3o2bo3b2obob4ob3obo3b3ob2ob3o2b3ob6o5b2o4b3o2b2ob2o
b2o$23bo2b2o3b4ob3ob3o5bo2bob2obob3o2bob5obo2b4o2bo4bob2o3bo3b3o2bo2bo
bobo2b4obo2b2ob3ob3ob6obob2o3b2obo3bob3o$23bo2bo4b2o2bo3bo2bob4obo2b4o
4bo2bo4bobobo2bo4bobo2bobob2o2b2ob2obo3b3o3b2obobo5bob2obob2ob3o3b3o4b
2ob3o3bobo$23bo2b3o6b5ob2o2bobobo4bobob3o6b2obob3obo4b3ob3o2bo4b2o3bob
obo4b3obob2o2bobob2obo3b3ob2o4bo2b3ob2o4b2o$2bo20b2o2b4ob5o5bob3o3b5ob
obo3b3ob2o3b2obob2obo3bobobobob8o3bo3b2ob3ob2ob2ob5o3b3obo3bo2b4o4b2o
2bo$b3o20b4ob2ob2o2bobob4obobobobo3b2o4bobob2o2b6obobob2o5b2ob3obo2b2o
4b2o3b6ob2ob3obob2ob2ob2ob2o2bobo6bo2bo4bo$5o19b10o4bo3b2o3bobo7b2obob
2o8b6o2bo2bo6bobo3b3o2b7o2b2o2b5ob4o6bo2bob2ob2obob3o2bo3bobo$b3o19bo
3b2o5bob3o2b2o5b3obo6bo2bo2bo3b3obo2b2obo8b6o3bo3bobo2b2o2bo3bob3o2b2o
2b4o2b2o3b4obo3b3o$2bo20b2o3bo2b3obo2bob2obo4bo2b2o3bo2bo3b2ob2obo2b2o
b3o2b3obo2b2ob3ob4obobo2b3o3b2ob2obo2bobo3b3ob2o5b2obo4bobobo4bo$23b2o
b2o2bobo2bo4b4obo3b2o2bob3obob2obobo2bo2bo4bob4obobo2b2o2bob2obo2b2o2b
ob2o3bo3bo4b2o2b3obobo6b2o2bob3o2bob2o$25b2o2bob2ob5o4bo2b2obo3b4obob
4o3bo2b3ob2o6b2o3bob2o2bobo2b4o9b2o2b3o2b4ob2o4b3ob3o2b2o2b3o2b2o$23bo
3bob2ob2ob2o5bo2b2o3bo3bob6o2bob4ob2o2bo2bo2b2obob3obob4o2b2o3b3obo2bo
6bobobo2b2ob3o2bobo2bo2b2o2b2obo2b2o3bo$25bob3obob2ob3o3b6o2bob3o2bo3b
2o3bo3bo2bobobobo3b2o3b2ob5obo2b5o2bo2b2ob4o3bob3ob2o2bo2bo3bobo3b2o2b
5o$24bob2ob4o2b3o2bob3o3bo2b2ob2o5bobo3bobo9b2o2bo3bob4ob6o3bobob3o2b
2o2b4obobo9bo2bo2bobo2b4o2b2o$23bobobo3bo3b2obob2ob5ob2o2bobo3bobob3o
3bobob2o2bobo2b4ob3o3bobobob2o2b3o4b2obob4o4bobob5ob2o4b4ob2obo3b4o$
23b3obo3b2ob3o3b3ob4obob2o2b2ob3ob2o2bobo2b2o2bo2bobobob2ob2o4b3obo2bo
2bo2b3obobob3obo4b3ob2ob4o3b2o2bo2bobobobo2bo$26bo5b3obo2b2ob4obo2b2ob
o2bobo5bo2b2o3b4obobobobo2bob2o2bo3bo4b2ob4ob3o3b3ob3obob4o2bobo2bo2b
3obo2b2obo4bo$23bo3bobobob3o3bo2bo2b2obobo2bobobobo2b2o2b2ob4o3bo3bobo
2b3o2b2o2bo2b2o4b4ob2ob4o2b2ob2o2b2obo4bo5b4ob2obo2bo2b4o$25b2ob3o2b2o
b2o3b4obobob2o4bobobo3bob4o3bobobob3obob2o9bobobobob2o2b2o2b3o2bobobo
3b2ob2ob2o2bobob3ob4obob2o3bo$24bobo2b5o2b5o2b2obobo2b3o2bob3o4b5o2bob
2o3bo2bo10bo4bobo4b2obo4bobo5b2ob2o2b3o3bobobo2bo2b2obob2o3b2o$23b4ob
3o3b4o2b2o2bobobo2bo2bo3bo6b2obo4bo3b2o2bo2bobobo3bo2b4ob2ob3o4b2obo2b
7o2b3obo2b2o4bob7o2b4o2bo$24bo2b2o2bob2o4bo4bob6obo2b7o2b2o3b2obo3b2ob
ob2o2bo2b3obobob3o2b3ob2ob3ob2o2b2obob3ob2o2bo4b4obob5ob2o5bo$23b3o2bo
5b2o2b2obo2b3obob2o2b4o5b2o3bo3b2o3bob2o3b2ob3ob2o2b2o2bob2obobob2obob
ob7obobobo2bob3o5bobo2b2obob2o2b2o$23bo3b4obobo2bob2ob3o2b2obo4b2ob4o
4b2ob2o4b2ob2o4b2ob3o2bo2b2o7bo2bo2bob2obo3b4obobobobo3bo3b4obo2bob3ob
4o$24bobob2ob8o2b4ob2obo3b4o2bob3o2b2obo10b2o5b7o3b3o2bo2b2o2bo2bo2b2o
8bob4obob3ob4o5b5obo$24b2o2b2ob4o2bo2b2o2bo2bo3b2o3b2ob3ob2ob2ob8o4b2o
2b3o4bob3obo3bobo2b2ob2o3b7o2b3o2b2ob7ob2o2b5ob5o$24b2ob2o2bobo5b3obo
2bo3bob2o2b4o2b2ob3o2bobobo2b3o3bo2bo2b2o3bobobob2obob2obo2bob2o3bobo
3bo2bob2obo6b2o2b2o2bob3ob2o$23bo2b3o2bo2b2o4bobo2b2o3b2o2bob3o4bobo3b
o3b2o4bo4b8o2b3obob3ob6o2b3o2b5o3bob3ob4o4b2o3b2o2b2o4bo$23bob2o2b2o6b
o3bo7bob3o2bo2bo2b3obob3ob2o3b2obo2b3ob2ob2obo2b2obob6ob2o2bobobo2bo3b
obo2b2o2bo3b4obo8b2o$23bo5bob2o2b2o3bobobo4bob3ob5obobob2ob2ob2o3bo2b
4o2b7o6bo2bob3ob5o2bob4o2b3o4b2obo5bob3ob4o2bo2bo$25b2o3b2o2b2o3bo4bo
3b2obo5bo2b7ob3o5b4o2bo2bo2bo3bo2b3ob2ob3ob2ob2o2bo2b2o7bob5obo3bo2b2o
3b3o4bobo$24b2o2b4o7bob2o7bobobo2bobob2obob5o4b3o2b2ob2o2b3obobobo4bo
3bob5obo2bobobo4bob2o4bo2bo6b2obo4b2obobo$24b2o6bobob3obobobobo3b2obob
2ob6o2bo3bo3b2o2b3o4bo2bo4b2obo3b2o2b3o2bo3bo3bob2ob2obo3bo3b2obo4b2o
2bo2b2o4bo$23b2obo2bob2o2bo2b3o2bobo2bobo3b2o3b2o2bo4bo2b3o2bob4obob3o
bobobo3bobobo2bob9o2b2o3bo3b6obo4b4ob2o3b2obob2o$24bo6b5obob3obob2o3b
2o6bobo2b2o2bo2bo2b2obobo2b3obo3bo2bob3o2bob5o6b2obobo4bo2bobobo2bobob
3o2b4o3bo4b2o$23bo2b2o3b2obobo2b2o2bob5ob3obo2b7ob2ob2ob2ob3obobob3obo
3b2o2bo2b2o2bobobob3ob2o5b3o4bob2ob2ob2o2bob3obob2obo2bobo$24b4o2bobo
2b2o8b2o2bobob2obo2b2o2b4ob3o3b3o2bo3b2ob2o2b3o2b5o3bobo6b2ob2obobobob
ob7o2bob4o2b2obob2o3b2o$23bo2b5obo3b4ob3o2bobo2bo2b3obobo2b3obob2o2bo
2b6obob2o2b2ob2o3bob2o2b4o2b3o2b3obob2obobo2b3o2b2o3b2obob2ob2o2bobob
2o$24b2obobobobo3b6o2b2ob4ob2o4b5o2bo2b5o5b5ob4obob4ob5o3b4ob6obob3obo
3b2ob2ob4o8bob2ob2o$23bobob3o4bobo8b6o4bob2ob2obo4bo4bob2obo4b4o4b4o2b
4obobobob3o5b2o2b2ob5o2bob2o3bo2b2obo2bob3obob2o$23bob2ob2obob5obobob
2o6bob5o3bo2b2o3b2obo4bo3bo2bobo3b2obo5b2o2bo3bo2b3o2bo3b2ob2ob2o10b2o
bo2bob3o2b3obo$23b2o2b2o2bob2o3b3o4bo6b2obo2bobo3bo3bobo4b4o2b3o2b2obo
2b2ob2o4bobo2b2o4bo3b3o3bo3b3obo2b3o2bobo3bob3o3b2o$23b2ob4o3bobobo6bo
5b2obob2ob4obob4o2bo2bo4b6obobobobob3obo3bo2b3o2bo5bob2ob2o2bo3bo4bob
3o2b4obob3ob4o$23bobobobob6ob3ob3ob5ob4o3b2o2bob2ob3obobo2b5o3b2o3b2ob
o2bob3obob2o6b5o4bo3b3o3b2o2b3obo2bob4ob3o3bo$24b4ob3obo4b2o2b2o2b2obo
b3o3bob3obo2b3ob2o3bob2o4b3obobo2bobo2bo5b4obob4obo2b2o3bo2bobo2bob3ob
ob2ob2o2b2obob2o2bo$27b3o3bobo5bob2o2b3ob3obo2b3ob3ob2obo2bo6bo5b2o4b
4o3bobobo2bob2ob2ob2o4bob2ob2o3bo4bo4b4o4bobo2bo$23bo2bobo3b2o2bob2obo
4bob4o3b5ob2o2b3obob2obobob3ob2ob5ob2o4b2o3bobob4o2b3ob3o2bo3bobo2bob
5ob2o2b3ob2o4bo$23bobobob4o3bo3bobo8b2ob5o2b2ob3ob2obo3b2o2bob3o2bobob
4o3bo4bobo2b3obo5b2ob2o3b2ob2o3bob2o3b2obobo3bo4b2o$25b2o2b2ob3ob7o2b
3ob3ob3ob2o2bobob2ob4o4bo2b2o2b2obob5o2bo4bobob4o3b3ob2obo3bob4o2bo2bo
bo3b2ob2o3bo3bo3bo$26bob2ob5ob3obobo2b3o2b2ob2o2bobobo3b2ob3obobo2b3ob
5o2bo3bo2b2o3bob2ob3obob2o4bob3obo4bo2b4o6b6ob2o4bo$23bob3obo2b2obobob
ob2ob3obob4o6b4o3bo3bobo2b2o2b3ob2o5b3obo4b3o7b3ob2ob2obo2bo6bobo2bo2b
2ob4obob3ob2obo$23b5ob2o2b4o2bobobobo2b2ob2o2b2o2b3ob2o3b2ob6obob2o4b
4o3bo3bob2o3b3ob3o2bo8bo4b6ob4obo3b5ob3ob2o$23b3obo5b3o2bo3bobob2obobo
3bo3bo2b4obobob2obobo4b7o5bo6bo3b3o2bo2b2obobo2b4obob2obobo4bo3b2o8b3o
$24b2obobob4o2b5o3b4obo3bobo4b5ob2ob3ob5o2bob2obobo4b3o3b3ob2obob2o2bo
4b2o2bob2ob4ob4obobob2o2b2o3bob2o2bo$23bobobobob2o4b2o5bo2b10ob2ob2o3b
obobob2obobo3b2obob3ob2obobob2o3b2ob2o2bo2b5o3b2o2b2o6b6ob2o9bob3o$24b
2o4bobo3bo3b5obo4b4o3b3ob2o5bob2o4b2o2b2o6bobob2ob2ob2ob6o3b2obo2b2o3b
o2bo3bo2b6obobob5obo4b2o$25bo2b2ob2ob6o3bo2bo3b2ob4o2b4o2b2ob4ob3o3b3o
3bo6b3o3b3ob3ob2o2bobo2bo2b3obobo4b2o6bo2b3ob2o2b2ob3o$23b2obobob2o2bo
3bob2obobo2bo4bobobobo4bob2o3bobob2o2b3obob2o2b2ob2o4b2ob5obo4bob4obo
2bobo2bobo2b3ob3obo2bobo2bo3b4o$23b2ob6obobob3ob2o3b2obobob4obob4obobo
5bo3b4ob3obobobob2o2b3ob3o2b2ob4o3b2o5b3ob3ob5ob3ob2ob4o2b3o2bo$23b2o
2b3obo5b2obo4bobob3obob2o2bo2b2o2b5ob4obob3o3b4o2bob3ob2ob2ob2ob2o3bo
5bo2bobo4b3o2bo2b2o2b4obo2b2obo2b2o$23bo2bo7b2ob2o7bo5bob2obob3ob4o2b
3o3b5ob4ob2ob2o2bobob3obo6bo5b2obobo3bob2o4bob2o2bob3ob2o2b5o3bo$24b5o
2bo3b2o2b8obo3bobo2bo3bobo2b2obobo5b2ob2o2b2o5bo2b4ob2o9b8obob9ob3o2bo
b4o2bo4b2obob2o$23b3obo3b2o2b4o4bob6obo3b2o5bo2b3ob2obobobo2b5obo3b3ob
5o4b3ob3obo4b2o3b4o4bo2b2obo5b2ob7obobo$25bobo4bobo2bo2bobo6b2obo5b2ob
3ob2o2bo2b4ob2o2bob2obob3o2b4o2bobob3o3bobobo2b2ob2o4bobo3bo2b2o3b2obo
bo5b5o$25b3obo3b2o4b3obob2ob2ob4o2bobobo5bob4ob2ob2o3bo2bo3b2o2b2o2bo
2bobo2b4o3bobo2b3o2b6o2bobobo3b2o2bob3ob2o2bob2o$24bo9b5o2b3obob4o2b2o
4b3o3bobo4b2o2bobobo2b2o6bo2b2o2bobobobo3b2o4b2obo2bo3b2obo4b4obob3ob
4o3b2o2b2o$23bo4bo3b2obobobo2bob4o2b3o3bo2bo3b2o5b2ob4obob2o5bo2b2obob
obobo2b2obo3bo2bobo2bob3obo2b2ob6o6bob3o2b6o$24bob3ob3o2bob2o2b2obo4b
3o5b2o2b2obo2bob2o2bobobobob8o2bob2o3bo2b2o3bobobo2b2o2bo2b3o3bobo3b6o
bo4bo4b3obo$24bo2b2o2b6o2bo2b2obob9o5b3obo6bo3b2obob2ob7o2bo2b5ob3o3b
2o3bob4obo2b3ob3o2b2o3bo4bo2b2o2b2obo2bo$25bob5o3bob3ob2o3bo2bob2o3bo
2bo3b2obo2b2o2b3obo4bobo3bo3bo2b3o6b2o2bo2b3ob2ob2obob2obobo6bo4b2o2bo
5bo$23b5ob4ob3o2b4ob2obo2bob2ob2o2b5obob5obo3b2o2b4o2b4o2b2ob2o2bo2b2o
2b4ob2o3bob2o3b4o10bob3o2bo9bo$23bob3ob3o3bobobob2obob5ob2o2b3obo2bobo
bo9bo5bo2bob2o5bob2obo2bo4bo2bob3ob2obo2b2o5bo3b2ob2ob3o3bobo2bobo$25b
ob3o3bobo2bobobob2ob2obob3obo3b3obo2b2ob3o2bobo4b2ob2obo2b3obo6bobob2o
5bob2obobo2bo5b3o2b2obo2bo5b2o3b3obo$23b3o2bo2bob2o3bo6bo2b3o2b2o2b2ob
2obob2ob4o2bobo3b4o5bob2ob3o2b2o2bob2o2bo2b3obo2b3obobo3bo4b6obo2bobo
2b5o$23bo6b4o2b3o3bo2b2obob2o2bo2bo3b7o2b3ob2obob3o2b2o2bob3ob2o2b2o3b
2obo2b3ob4ob4obo2bo3bob2o3bob2o6b5o2b2o$23b2o3b2obobo4bo4b2o2b2o2bobob
2o4bob2obobo3bobo2b2o7b2o2bo2b3obobo2bob3o3bobo5bobobo2bo4b2ob2o2b4o2b
o2b2ob2o3bo$27b2o4b7ob3o2bob3o2bo2b2o3bob4o3bob2obo2b3o4bobo2bob3obob
2obob3o6b2obob2o4bo3b3obo2bobobo2bob5o2bobo2bo$24bo3bo2b4obo3bo2b4obo
2b4o2b2ob2o6b3o2b2o2b3o2bo6b2ob7o3b2o3bobobo9b7o2b2o4bo3b4o5b2ob2obo$
24b2o4b2ob3o2bobobo2b2o2bo2bobobo4b3obo4b2o3bobob2o2b2ob2ob2o2b3o2b7o
8bo2bo4b2ob5o2bobo2bo3bo2b2o3bob4obo$23b6ob2obo2b3o2bobo3bob2o2b3ob2o
2bo2bo2b2ob5ob2ob6o3bo4b2o3b3o2bob3obo2b3obobo2bo2bo2bobob2ob2ob4o2bo
3bo2bobob2o$25b3o2bobo4b2ob2o3bobob2ob5ob3obo3bob2ob2obobobo3b2ob3ob3o
2bo3b2ob3ob2ob3o3bo8b4o2b2o2b3ob6o3bo2bobobobo$26bo2bob2o2b2obo3bo4bob
4o4b4o7bob4obob3ob2o3bo2bob2o2bobobo2b10obo4bo2bob6o3bobob3o3bob6o5bo$
25b2o2bo5b3ob2obo2b5ob4o2bo4b4ob6ob3o6bo2bo2bob2o2bob5ob2o2bob2ob2ob4o
b4ob3o2bo2b2ob3o2b2obob3o5bo$23bo3b3obob2ob2o2bobo2bobob6obo3b2o4b3o4b
o3bo2bo2bobo3bob2o2b2ob3ob2obobo2b5o2bo2b3obobobob2o3bo2b4o2b2obo3b3o$
23bob4o6bo4b2o2b2o6bobo3bo2b2ob5ob5o3bo3bobo3bob2o4bobo2b4o4b3o2bob2o
3b2obob2ob2obo2b2obobob2ob5o2bob2o$23b5obo4bob2ob2o3b2o2bo2bobobobobob
2o2bob2o3b3o2b2o5b5o3b2o5b8obo5bobob4obobob5ob2o2b2o3bob3o2b3obobo$24b
obobo2b3o3bo4bob4o4bo3bobo2bobob2o2b2o2b2o5b6o4b2ob3ob2o3bo6bo4b3obobo
bob2o2bob3obo2bob5o4b3o2bobo$23b4o2b2obobob5ob3obob6ob2obo2bobo2b3o2b
2ob2o4bo2bo5b3obobob3obob3obob3o4b2o2b3obob2ob5ob2obobobo2bobo3b2ob2o$
25bo2b2o3b5o2b6o2b2ob3o5b2o10bobo4b3ob4ob2ob3obob4ob2obo4b2o2b2o4b2o6b
o2b2ob2o3bob4obo2b2ob2o$24bobo3b2o3b2ob4obobo3bo6bo2b2obo2bo5bo2b2obob
ob3ob2obob6ob2o4b2ob2o2bob3o2b5o4b2o2b2o2bobob8o2bo4bobo$23bob2ob4ob6o
2b2ob7o5b4o2b3o4b3ob2ob2o9bo2bo2bob4obo4b4ob2o3bobo2bob2obo4b2obob3o7b
3o2b2obobo$23bob2obob3o3b2ob5o2bobobo6bobob2o2b4o2bob2o3b3o2bo2bo2bobo
2b2obob4ob2o4b2o3bo3b6ob4o3bo3b2obobobo3b2o3b2o$24bob2ob3o3bo3b3o2bobo
b2ob2o4b2obob4obo2b2ob6ob7o3b4obobob3o3bo7bob2o4b2o3bo2b2ob3ob2o2b2obo
bobo4bo$25bob2o3b4obob2ob5o2b3obob3o3b2ob3ob2o14bobob2o2bo3b4ob3ob3obo
b2o3bob3o5b5obob6ob4ob3obo2b3o$23bob4o2bob3obo3bo2b2obobo2b4obob3o3b6o
6bo2bo2bob5o2bobo2bobobob2obobo3bobo8bobob2o2bo2bo3bo2b3ob2o5b2obo$24b
8obo5b2o3bo2bob2o2b4obo7b3obo3b2o4bo2bobobobo4b4obo4bo3b3o4bob3obob3o
5b3o2bob4o2bo2b2ob3o2bo$24b2o3bobo2b2ob2obobo2b2ob2o2b5obo4bob4ob2o4bo
bob2o4b3ob2o2b2obob4o5b2o3bo2bob3o2b4o4bobob5o3b2o3b2ob4o$23bo2b2ob4ob
o6b4ob5o3bo2b5o5b2o3b6o4b3ob5o4b5obobobo2b2o2bo3bo2b7o2b2o3b4o2b2o3bob
o2b5obo$23b2obobo5bo2b2o2b7obo2b2obo3bob2o2b2o3bo2b2o5bob3ob2o3bo3b4o
2bo2bob3obob3o4bobobo2b2ob4o2b2ob2o3b3obobobobobo$23bo10bobob5ob2o2b4o
bob3o3bobo3bobobobob2obo7b3ob2o2b2o4bo2b2o2bo2bo2b2o2b3obobo4bobobo3bo
3bo2b2obob3obobo$28bo4bob3o4b2ob3o6bo7b2ob2ob2o5bob5o5bobo2bobo4bo4bo
5bobo2b4obob3o3bo2b3o5bo6bobo2bobo$25b4ob4o6bo2bo4b4ob3o2bo3b6ob5o2bo
4bo4b3ob9ob2ob2o2b3o2b5o2bobo3b2o2b3obo2b3o2bo4b2obo2b2o$23b3obob2o2b
2o2bobob3ob3o2b3ob2o2b2obob3o2b2o4b2o3b3ob5o2bob3o2bo3bob2o4b2o4b2o3bo
bo3b2o2b2o6bobo2b3obobo4bo$23bo3b4o5bo2bo3b4ob2ob2o2b2obo4bobobo4b2obo
4b2o2bo3bo2bo2bob2o3bo2bo4b5o3b5obo3bob2obobo2bo2b4o3b2obobo2bo$24bo4b
3ob4o5b4obo2b2obo2b2o3bo3bo5bobobobo2b3o2b2ob6ob2o2b3ob2o3bob6ob2obob
2obob5o6bo3bo2b2obobob2o$24b3o4b2ob2o2bobob3obob5obo4bobob4obob4ob5obo
bo3b2obob5ob3ob2ob2obo2b2obobo5b2obo2bobobo2b5o2bob2o3b2obo2bo$24b3o4b
4o3b2obo2b2o2bobobo2b4obob3obob2obob3o2bo3bo2b2ob2o2bob3o2b3o2b4obob2o
b3o2bobo2bob4obob6obobobobo4b2obo$25b2o2b2o2bob3obobobobo3b2obob7ob2ob
4o3bobob2obob2o3b2o3b2o3b3obo4bo3b3ob2o3b4o2b2o2b2o2b4o2bo3bobob2o2b5o
$24bo2bobob2ob2ob2obo2bo2bo4bo2b2o3b2o3b2obo2b3o3b3ob2obo3b2o3bo4bobo
2bobob2ob2o4bo3bo4bobo3b3o2bo6bobobo2b2o2bo$23bobobo3bob4o2bobobo3b2o
3b2o7b4ob7o2b2ob3ob3o4bob3obo2bo2b3ob2o3bo2b3o3bobob2obo3b3ob3o4b2ob2o
bo2bo2bo$24b2ob3obobobobo4b3o3b3o4bo2bobo6b4obob4obo8b4ob5o4b4obo4bo3b
obobo3b4o3b6o5bo5bob2obobo!


This one aint bad, either:
x = 43, y = 43, rule = B3ai4a/S3ai4a5ai6acn7c8
20b3o$18b7o$16b11o$14b15o$12b19o$10b23o$8b27o$7b29o$6b31o$6b31o$5b33o$
5b33o$4b35o$4b35o$3b17o8b12o$3b15o2b6o2b12o$2b15ob7ob15o$2b15ob5o2b16o
$b16ob5ob18o$b16ob5ob18o$17ob5ob19o$17o2b5ob18o$18o2b4ob18o$b18o3b3ob
16o$b20obob2ob15o$2b24o2b13o$2b25ob13o$3b37o$3b37o$4b35o$4b35o$5b33o$
5b33o$6b31o$6b31o$7b29o$8b27o$10b23o$12b19o$14b15o$16b11o$18b7o$20b3o!


x = 123, y = 122, rule = B3ai4a/S3ai4a5ai6acn7c8
59b4o$57b8o$55b12o$53b16o$51b20o$49b24o$47b28o$45b32o$43b36o$41b40o$
39b44o$37b48o$35b52o$33b56o$31b60o$29b64o$27b68o$25b72o$23b76o$21b80o$
20b83o$19b84o$19b85o$18b86o$18b87o$17b88o$17b89o$16b90o$16b91o$15b92o$
15b93o$14b94o$14b95o$13b96o$13b97o$12b98o$12b99o$11b100o$11b101o$10b
102o$10b103o$9b104o$9b105o$8b106o$8b107o$7b108o$7b109o$6b110o$6b111o$
5b112o$5b113o$4b114o$4b58o2b55o$3b57o4b55o$3b56ob3ob56o$2b57ob4ob55o$
2b57ob5o2b54o$b58ob7ob53o$b57ob63o$58ob63o$58ob64o$59ob63o$b58ob63o$b
59ob61o$2b58ob61o$2b59ob59o$3b59ob58o$3b59ob57o$4b59ob56o$4b60ob54o$5b
60ob53o$5b61ob51o$6b61ob50o$6b62o2b47o$7b63ob46o$7b109o$8b108o$8b107o$
9b106o$9b105o$10b104o$10b103o$11b102o$11b101o$12b100o$12b99o$13b98o$
13b97o$14b96o$14b95o$15b94o$15b93o$16b92o$16b91o$17b90o$17b89o$18b88o$
18b87o$19b86o$19b85o$20b84o$20b83o$22b80o$24b76o$26b72o$28b68o$30b64o$
32b60o$34b56o$36b52o$38b48o$40b44o$42b40o$44b36o$46b32o$48b28o$50b24o$
52b20o$54b16o$56b12o$58b8o$60b4o!
2c/n spaceships project

Current priorities: see here
muzik
 
Posts: 2462
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby wildmyron » September 9th, 2017, 11:02 am

p10 gun consisting of a single domino:
x = 1, y = 2, rule = B01c/S26
o$o!


Came across this while thinking about the range of B0 rules in which the domino would cause explosive behaviour.

@muzik: I really like the patterns created in the first rule of your post.
wildmyron
 
Posts: 546
Joined: August 9th, 2013, 12:45 am

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby Rhombic » September 13th, 2017, 5:33 am

Some isotropic rules are capable of preserving symmetries that are not preserved in CGoL!!

Nice challenge: who can list the rules that have the property of preserving this symmetry?
User avatar
Rhombic
 
Posts: 722
Joined: June 1st, 2013, 5:41 pm

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby BlinkerSpawn » September 13th, 2017, 9:43 am

Rhombic wrote:Some isotropic rules are capable of preserving symmetries that are not preserved in CGoL!!

Nice challenge: who can list the rules that have the property of preserving this symmetry?

For that particular symmetry I believe it would just be the set of all rules that lack all of B02k3qk.
For B0 rules it's a bit different.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
User avatar
BlinkerSpawn
 
Posts: 1426
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby Rhombic » September 13th, 2017, 10:11 am

BlinkerSpawn wrote:
Rhombic wrote:Question

For that particular symmetry I believe it would just be the set of all rules that lack all of B02k3qk.
For B0 rules it's a bit different.

B02k3qk4q then.
What about preserving skew D2_x, even if it's not gutter?
User avatar
Rhombic
 
Posts: 722
Joined: June 1st, 2013, 5:41 pm

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby toroidalet » September 14th, 2017, 10:05 am

Was not expecting this:
x = 40, y = 40, rule = B2i3-kqy5e6ci/S2-i3-e
o2b2o2b2o2b3o3bob2o6b2obob4o2bo$7o3bo2b5o3b4o3b2ob2obobo2bo$2bobo4b3ob
obobob4o2b2o2bobob2o2b2o$o2bob2ob2o3b2o6b2ob2o5b4o4bo$2o2bobobo11bobo
2b2obob2o2bo3bo$3obo3bo4bobob6obo2b3ob3obobo$obo2b2obob2o2b5o4bob7o5bo
$2ob2o4bo3b2ob2o4b3o2bo2b2ob2ob3o$b4o2b2o2bobo3b2o2bob3o3bo2b3o2bobo$o
2bobobobo3b6o3bo2b2o8b2obo$3o2b2obo2bob2o4b5o2bobo3bo3b3o$3ob4ob6o3b3o
b5o3bob5obo$3ob9o3b3ob2obob2o2b5ob3o$bob4obo3bobo2b5obob2ob2ob2ob4obo$
6bo2b2o5bo2bobob2ob6obo3b2o$b4obo2b3o2b4obob2obobo3b3ob2obo$4b5o2bobob
obobobo2b2o3bo2bo2bobobo$3o5b3ob2o3b2ob6o3bob2ob2o2bo$b5o3b2ob7ob2o4bo
bobobo2b2o$b2ob3obobo3b2ob3o2bo4b3obo3b3obo$obo2bo2b2o2b7obo2bo2bo2b3o
b5obo$2b2obobobobobob2o3b2obobo2b4o2bo2bobo$o5bob3ob3ob2obo2b2o2bob3o
7bo$o2bob3ob2o2b3o2bo3b2o2bobo2bob3ob3o$2bo2b6obo2b2obobo5bobob2o2bo2b
o$6o8bob3ob2o2b5o2b2ob4o$bobobo4bo3bob4ob3obo4bo2b2ob2o$3ob3o3bo2b2ob
2ob2o3bobo3bo2b2o2b2o$bob2o2b5obo2b3o2b3o2b2o3b4o3bo$2b2obo5bobo2bob8o
2bo3bobob3o$o6b2obob3o3b4obo3b2ob2o3b2o2bo$2obo2b6obob2obo3b3o4b2o2b2o
2b3o$2b4o2bo3bo2b3o3bo2b2o2b3o6b2o$2o2b6ob3o6bo6bo2bob5ob2o$obo2b2o3bo
4bo2b3ob4obob2obob2ob2o$2obob4obo2b2obob2o2bobob3o2b6ob2o$b3ob2ob2o2b
4obo6bobo3b2o3bo2b2o$ob3o4bobob2obob5ob3o3b2obob2o2bo$bo2b3obo4b4ob6ob
3ob2o2bo2b2o$2bobob3obob2o2b2o4bob2obo3bo2bo3bo!

(p17510)

rule-specific ( :( ) p362:
x = 3, y = 3, rule = B2k3/S23-ae4i
2bo$o$3o!

p88:
x = 71, y = 71, rule = B2k3/S23-ae4i
24b2o18b2o$23bo2bo16bo2bo$23bobo18bobo$23b3o18b3o20$67b3o$b3o63bo2bo$o
2bo63b2obo$ob2o65bo$bo16$69bo$bo65b2obo$ob2o63bo2bo$o2bo63b3o$b3o20$
24b3o18b3o$24bobo18bobo$24bo2bo16bo2bo$25b2o18b2o!
I have the best signature ever.
User avatar
toroidalet
 
Posts: 676
Joined: August 7th, 2016, 1:48 pm
Location: Somewhere on a planet called "Earth"

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby BlinkerSpawn » September 14th, 2017, 5:11 pm

toroidalet wrote:p88:
x = 71, y = 71, rule = B2k3/S23-ae4i
24b2o18b2o$23bo2bo16bo2bo$23bobo18bobo$23b3o18b3o20$67b3o$b3o63bo2bo$o
2bo63b2obo$ob2o65bo$bo16$69bo$bo65b2obo$ob2o63bo2bo$o2bo63b3o$b3o20$
24b3o18b3o$24bobo18bobo$24bo2bo16bo2bo$25b2o18b2o!

x = 18, y = 38, rule = B2k3/S23-ae4i
17bo$15b3o$14bo$14b2o20$11b3o$10bo2bo$10bob2o$11bo8$2b2o$3bo$3o$o!

EDIT: p352:
x = 36, y = 64, rule = B2k3/S23-ae4i
17bo$15b3o$14bo$14b2o20$11b3o$10bo2bo$10bob2o$11bo23bo$33b3o$32bo$32b
2o5$2b2o$3bo$3o$o23bo$22b2obo$22bo2bo$22b3o20$20b2o$21bo$18b3o$18bo!

p264:
x = 36, y = 64, rule = B2k3/S23-ae4i
17bo$15b3o$14bo$14b2o20$11b3o$10bo2bo$10bob2o$11bo23bo$33b3o$32bo$32b
2o3$22b3o$22bobo$2b2o18bo$3bo20b3o$3o18b4o$o19bo$24b3o$22b3o$21bo2b2o$
20bo$24b3o$24bobo$24bob2o$25b2o$21b2obo$22b3o$23bo12$20b2o$21bo$18b3o$
18bo!

p176:
x = 36, y = 64, rule = B2k3/S23-ae4i
17bo$15b3o$14bo$14b2o20$11b3o$10bo2bo$10bob2o$11bo23bo$33b3o$32bo$32b
2o2$22b3o$21bo2bo$21b2ob2o$2b2o17b2obo$3bo17bo3bo$3o17bo3b2o$o24bo$21b
3obo$21b2o3bo$21b3ob2o$23bo2bo$23b2obo$23bo2b2o$24bob2o$22bo3b2o$21b2o
bo$21bo2b2o$22b3o$23bo11$20b2o$21bo$18b3o$18bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
User avatar
BlinkerSpawn
 
Posts: 1426
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby drc » September 15th, 2017, 5:45 pm

Almost p582, it reminds me of the B36/S245 shuttle:
x = 4, y = 4, rule = B2k3aceiq4eity/S23-ac4ceint6c
b2o$ob2o$obo$2o!

This rule seems to be just barely explosive:
x = 16, y = 16, rule = B2k3aceiq4eity/S23-ac4ceint6c
ob2obo2bobo4bo$3bobobo2b2ob3o$ob4obo2b2ob2o$o3bo2bo2b4obo$b5obob2ob2ob
o$3b6o2bobobo$2bo3bobob3obo$bo2b4ob2ob2obo$bobob2obobo2bo$2b5o4bo2bo$o
3b4o3b2o2bo$obobo2bobo3bobo$2bobo3b2ob4o$ob2o7bob3o$3o3b2o3b2obo$2bobo
bobobob2obo!

p26 from two T's:
x = 3, y = 7, rule = B2k3aceiq4eity/S23-ac4ceint6c
3o$bo2$obo2$bo$3o!

Ortho backrake:
x = 5, y = 11, rule = B2k3aceiq4eity/S23-ac4ceint6c
3o$o2bo$3bo$2b2o4$3b2o$4bo$bo2bo$b3o!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)

B2-ac3i4a/S12
User avatar
drc
 
Posts: 1592
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby BlinkerSpawn » September 15th, 2017, 7:17 pm

Rhombic wrote:What about preserving skew D2_x, even if it's not gutter?

I believe these are all the correct equivalence classes:
B4a/3q/2a/1c
B2k/1e
B3n/2c
B5a/3i
B3r/3y
B5n/4i/4k
B6a/5j/4z
B6e/5r
S5i/3a
S4k/3n
S4j/4t
S4z/3j/2a
S3r/2e
S7e/6k
S6c/5n
S5y/5r
S7c/6a/4a/5q

What I mean by that is for every set of transitions, either every transition is present or every transition is absent.
(The first two sets should remain absent, since they contain B1, and at least one of the following two should be present, seeing as those contain the orthogonal expansion transitions)
Transitions not listed are irrelevant as far as symmetry is concerned.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
User avatar
BlinkerSpawn
 
Posts: 1426
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Postby muzik » September 16th, 2017, 10:11 am

Almost p366:
x = 9, y = 9, rule = B02348/S0123
o2$2b4o$2bo2b2o$2bobobo$2b2o2bo$3b4o2$8bo!
2c/n spaceships project

Current priorities: see here
muzik
 
Posts: 2462
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

PreviousNext

Return to Other Cellular Automata

Who is online

Users browsing this forum: No registered users and 2 guests