Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
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LaundryPizza03
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » July 22nd, 2021, 8:52 pm

Non-phoenix p2 oscillators in a B3 OT rule with none of S0-S5.

Code: Select all

x = 92, y = 23, rule = B345678/S678
bob2o7bo7bo2bo3bob2obo5bo6bo2bo2bo2bo2bo2bo2bo6bo2bobobobobobobob2o$3b
2obo4b2obo5b4o5b2o5bobobo4b21o3b23o$b5o4bob2obo4b4o3b6o4b3o4b21o5b21o$
b6o4b6o2b6o2b6o2b7o3b20o5b21o$b4obo2b6o4bob2obo4b2o4b7o3b21o3b23o$6o4b
ob2obo5b2o4bob2obo4b3o4b21o5b21o$ob2obo5bob2o21bobobo4b20o4b23o$2b2o9b
o24bo6b21o4b21o$44b21o4b23o$45b20o5b21o$45b21o3b23o$44b21o5b21o$45b20o
4b23o$45b21o4b21o$44b21o4b23o$45b20o5b21o$45b21o3b23o$44b21o5b21o$45b
20o4b23o$45b21o3b23o$44b21o6b20o$46bo2bo2bo2bo2bo2bo2bo5bob19o$72b2obo
bobobobobobo2bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

The latest edition of new-gliders.db.txt and oscillators.db.txt have 31531 spaceships and 1293 oscillators from outer-totalistic rules. You are invited to help!

ColorfulGabrielsp138
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by ColorfulGabrielsp138 » July 23rd, 2021, 7:51 am

HoneySymbiosis Herschel to Glider

Code: Select all

x = 11, y = 11, rule = HoneySymbiosis
8.B$8.3B$8.B.B$10.B4$.A$B$6.A$6.B!

Code: Select all

x = 21, y = 21, rule = LifeColorful
11.E$10.3E$10.E.2E$13.E4$2.2B$.2B$2B$.2B15.2D$19.2D$18.2D$17.2D4$7.C$
7.2C.C$8.3C$9.C!
I have reduced the glider cost of quadratic growth to eight and probably to seven. Looking for conduits...

Naszvadi
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Naszvadi » July 23rd, 2021, 5:08 pm

One-time reflector:

Code: Select all

x = 26, y = 5, rule = B345/S1268
bo22bo$o10bo13bo$12bobo$o10bo13bo$bo22bo!

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bibunsekibun
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by bibunsekibun » July 27th, 2021, 10:22 pm

Cool P19

Code: Select all

x = 14, y = 7, rule = B2ce3aij4t7e/S2-n3-an4inty5eqr6kn7c8
2bo2$bo2b2o$o4b2o4bobo$bo2b2o2$2bo!
I'm sleepy
I'm not good at English, so please let me know if you have any grammatical mistakes
My Favorite Pattern is 60P312

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LaundryPizza03
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » July 28th, 2021, 3:51 am

This should be the smallest possible still life in the 3D vote rule. It has 480 cells in a 10*10*10 bounding box. There are 136 cells that have a full neighborhood.

Code: Select all

3D version=1 size=99 pos=45,45,49
x=10 y=10 z=10 rule=3D13..26/14..26
3$4boo$3b4o$3b4o$4boo/$$3b4o$bb6o$bb6o$bb6o$bb6o$3b4o/$3b4o$bb6o$b8o
$b8o$b8o$b8o$bb6o$3b4o/4boo$bb6o$b8o$b8o$10o$10o$b8o$b8o$bb6o$4boo/
3b4o$bb6o$b8o$10o$10o$10o$10o$b8o$bb6o$3b4o/3b4o$bb6o$b8o$10o$10o$10o
$10o$b8o$bb6o$3b4o/4boo$bb6o$b8o$b8o$10o$10o$b8o$b8o$bb6o$4boo/$3b4o
$bb6o$b8o$b8o$b8o$b8o$bb6o$3b4o/$$3b4o$bb6o$bb6o$bb6o$bb6o$3b4o/3$4b
oo$3b4o$3b4o$4boo!
EDIT: Smallest p4 in B3/S, as well as the even-symmetric version that is the second smallest.

Code: Select all

x = 24, y = 14, rule = B3/S
2bobo12bobo$2o2bo10b2o2bo$5bo14bo$bo4bo9bo4bo$3b2o13b2o$3bo2bobo9bo2bo
bo$3bo4bo9bo4bo$3bo2bobo9bo4bo$3b2o13bo2bobo$bo4bo11b2o$5bo10bo4bo$2o
2bo15bo$2bobo10b2o2bo$17bobo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

The latest edition of new-gliders.db.txt and oscillators.db.txt have 31531 spaceships and 1293 oscillators from outer-totalistic rules. You are invited to help!

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Alexander Yu
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Alexander Yu » July 29th, 2021, 1:13 am

Here's a five glider synthesis of an alien knightship. It's useless because it can already be crafted with just 2 gliders.

Code: Select all

x = 21, y = 20, rule = B2n3/S23-q
8bo$9bo5bobo$7b3o5b2o$16bo11$18b2o$18bobo$bo16bo$b2o5b3o$obo5bo$9bo!


hi.

Naszvadi
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Naszvadi » July 29th, 2021, 3:46 pm

Alexander Yu wrote:
July 29th, 2021, 1:13 am
Here's a five glider synthesis of an alien knightship. It's useless because it can already be crafted with just 2 gliders.

Code: Select all

x = 21, y = 20, rule = B2n3/S23-q
8bo$9bo5bobo$7b3o5b2o$16bo11$18b2o$18bobo$bo16bo$b2o5b3o$obo5bo$9bo!



2 glider synth? Can you show that?

Anyway, a more elegant way to synthesize using 5 gliders:

Code: Select all

x = 68, y = 98, rule = B2n3/S23-q
52bo$51bo$51b3o51$bo$b2o$obo$11b2o$11bobo$11bo27$46b2o$46bobo$46bo8$
65b2o$65bobo$65bo!

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breaker's glider gun
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by breaker's glider gun » August 2nd, 2021, 4:23 pm

whee!

Code: Select all

x = 5, y = 24, rule = B2ce3e4jr5cin6-en7c8/S012-ac3-cn4-eikny5-kr67c8
2bo$2bo$2bo$2bo$5o$2bo$b3o$b3o$b3o$b3o$b3o$b3o$b3o$b3o$b3o$b3o$b3o$b3o
$b3o$b3o$b3o$b3o$b3o$b3o!
shuttle:

Code: Select all

x = 7, y = 172, rule = B2ce3e4jr5cin6-en7c8/S012-ac3-cn4-eikny5-kr67c8
3bo$3bo$7o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o
$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o
$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o
$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o
$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o
$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o
$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o
$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o
$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o
$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o
$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o
$2b3o$2b3o$2bobo$3bo$b5o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o$2b3o
$7o$3bo$3bo!
he knows to draw the string all the way back.

1234
!@#$
(my one, two, three, and four keys don't work) :{

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yujh
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh » August 2nd, 2021, 5:08 pm

breaker's glider gun wrote:
August 2nd, 2021, 4:23 pm

Code: Select all

snip
Golly is cool, right? (wait, did you searched for that on the forums?)
That is banks3:

Code: Select all

x = 89, y = 54, rule = Banks-III
30bo35bo$52bo$6b2ob26o14b4ob30o$5b4ob23o16b5ob30o$6b2ob23o17b4ob30o$
31bo$31bo34bo5$6b2ob23o$5b4ob23o$6b2ob23o6$6b3ob22o$5b5ob22o$6b3ob22o
4$14b3o$14b3o34b3o23b3o$14b3o34b3o23b3o$15bo36bo25bo$14bobo34bobo23bob
o$14b3o34b3o23b3o$14b3o34b3o23b3o$14b3o34b3o23b3o$3bo8bob3obo8bo21bob
3obo19bob3obo$3bo10b3o10bo23b3o23b3o$3b25o14b2ob18o5b2ob18o$2b27o13b3o
b17o5b3ob17o$31o11b2ob18o5b2ob18o$14b3o34b3o23b3o$4bo7bob3obo7bo22bob
3obo19bob3obo$14b3o34b3o23b3o$14b3o34b3o23b3o$14b3o34b3o23b3o$14b3o34b
3o23bobo$14b3o34b3o24bo$14b3o34b3o23b3o$14b3o34b3o23b3o$14b3o$14b3o$
14b3obo$12b5o$15b2o$16bo$16bo!
Nothing to apgsearch? Try b38s23/C1!

B34kz5e7c8/S23-a4ityz5k!!!

b2n3-q5y6cn7s23-k4c8

B3-kq6cn8/S2-i3-a4ciyz8

B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

wiki

Rule modifier

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

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Hdjensofjfnen
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Location: r cis θ

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Hdjensofjfnen » August 2nd, 2021, 8:37 pm

Period 39 oscillator in LifeOnTheSlope that I don't think has been found yet:

Code: Select all

x = 12, y = 12, rule = LifeOnTheSlope
BA8.BA$A.A6.B.B$.A8.B2$4.B2.A3$4.A2.B2$.B8.A$B.B6.A.A$AB8.AB!
The rule now has oscillators of periods 2, 4, 7, 8, 14, 18, 28, 36, and 39.

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

AforAmpere
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » August 3rd, 2021, 10:42 pm

Fun with dot reflectors:

Code: Select all

x = 41, y = 29, rule = B3-ceqy4y5k6ak/S02-kn3ijnr4inr5ac6ck
32bo3$36bo$37b2o$36b2o2$26b3o11bo$26bobo$5bo20bo$8bo19bo$2b2o2bobo$bob
o3b2o23b2o$3bo6bo20bo2bo$31bo$o6bo23bobobo$2b2o3bobo24b2o$2bobo2b2o19b
2o4bo$2bo24bobo$5bo23bo2$26bo13bo4$36bo$35b2o2$35bo!

Code: Select all

x = 94, y = 94, rule = B3aijn4jnq5ac7c/S02-in3ijnr4aiy5ijnr
31bo2$27bo$27bobo$27b2o$38bo$37b2o$37bobo3$19bo$18bo$18b3o2$46b2o$45b
2o$47bo3$10bo$10bobo$10b2o$55bo$54b2o$54bobo3$2bo$bo$b3o2$o61bo2$59b3o
4bo$61bo2bobo$60bo4b2o$55bo$55b2o$6bobo45bobo$7b2o$7bo$51b2o21bo$50bob
o22bo$52bo20b3o2$46b2o$15bo31b2o$16b2o28bo$15b2o2$42b3o38bo$44bo36bobo
$43bo38b2o$38bo$38b2o$23bobo11bobo$24b2o$24bo$34b2o55bo$33bobo56bo$35b
o54b3o2$31bo61bo2$32b3o$32bo$33bo3$85bobo$85b2o$86bo$41b2o$41bobo$41bo
3$78bo$76b2o$77b2o2$49b3o$49bo$50bo3$68bobo$68b2o$69bo$58b2o$58bobo$
58bo2$62bo!

Code: Select all

x = 64, y = 64, rule = B3aijnq4twy5y7c/S02-cn3aijnr4q5jr
2$51bo5$56bo3$52b2o$51bobo$53bo7bo2$39bo8b2o$47bobo$49bo2$44b2o$43bobo
$45bo2$40b2o$39bobo$41bo7bo2$36b2o$35bobo$37bo2$32b2o$31bobo$33bo2$28b
2o$27bobo$29bo3$14bo10$24bo2$2bo5$7bo5$12bo!
A weird downwards moving, but diagonally bouncing ship:

Code: Select all

x = 8, y = 9, rule = B3-qy4aeiknz5cijk6k/S02-kn3cjknr4nrz5cejk6cn
7bo4$b3o$3bo$2bo2$o!
Wildmyron and I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule

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bibunsekibun
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by bibunsekibun » August 9th, 2021, 5:57 am

52c/320 Puffer

Code: Select all

x = 5, y = 8, rule = B34kn5q/S2-n3-a4ikny
2bo$b3o$2o2bo$2o$2b3o$2bo$2bo$3b2o!
I'm sleepy
I'm not good at English, so please let me know if you have any grammatical mistakes
My Favorite Pattern is 60P312

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FWKnightship
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by FWKnightship » August 9th, 2021, 6:16 am

A 149c/8756d rake in a rule from Mcell:

Code: Select all

x = 46, y = 54, rule = WeightedGen,C16,SW0;3;1;4;2;3;1;0;0;2;0;0;2;0;0;1,PW1;1;1;1;1;1;1;1,RS4;6;8;10;12,RB7
33.B.A$33.AEDC$32.HIGF$31.DHLGL$31.EKO.C$31.ILBO$30.I.K.N$31.LM$32.JN
5.ND3.F$38.OHFG.NOK$38.CA.GJ.NB$39.OF.N.G$39.C.D.LC$40.AMIF18$15.FBEK
$14.IJIED$13.FHN$14.CADA$13.N.IMA5$.N7.BF$5.D2.2IEA$5.GKA2J.O$4.CMA.D
$3.BDGJ.JA$4.C2.E.O$.2N.G.D.M.MJ$LONA.HILG2.G$.GHBEM.A.F$5.JD.AJOM$6.
GE2.GI$6.D.JI.D$7.LDOL$7.A2B!
@RULE WeightedGen,C16,SW0;3;1;4;2;3;1;0;0;2;0;0;2;0;0;1,PW1;1;1;1;1;1;1;1,RS4;6;8;10;12,RB7
@TABLE
n_states:16
neighborhood:Moore
symmetries:permute

var all={0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
var bll=all
var cll=all
var dll=all
var ell=all
var fll=all
var gll=all
var hll=all
var ill=all


var W0_0 = {0, 7, 8, 10, 11, 13, 14}
var W0_1 = W0_0
var W0_2 = W0_0
var W0_3 = W0_0
var W0_4 = W0_0
var W0_5 = W0_0
var W0_6 = W0_0
var W0_7 = W0_0
var W3_0 = {1, 5}
var W3_1 = W3_0
var W3_2 = W3_0
var W3_3 = W3_0
var W3_4 = W3_0
var W3_5 = W3_0
var W3_6 = W3_0
var W3_7 = W3_0
var W1_0 = {2, 6, 15}
var W1_1 = W1_0
var W1_2 = W1_0
var W1_3 = W1_0
var W1_4 = W1_0
var W1_5 = W1_0
var W1_6 = W1_0
var W1_7 = W1_0
var W4_0 = {3}
var W4_1 = W4_0
var W4_2 = W4_0
var W4_3 = W4_0
var W4_4 = W4_0
var W4_5 = W4_0
var W4_6 = W4_0
var W4_7 = W4_0
var W2_0 = {9, 4, 12}
var W2_1 = W2_0
var W2_2 = W2_0
var W2_3 = W2_0
var W2_4 = W2_0
var W2_5 = W2_0
var W2_6 = W2_0
var W2_7 = W2_0
0,W0_0,W0_1,W0_2,W0_3,W0_4,W0_5,W3_6,W4_7,1
0,W0_0,W0_1,W0_2,W0_3,W0_4,W1_5,W3_6,W3_7,1
0,W0_0,W0_1,W0_2,W0_3,W0_4,W2_5,W2_6,W3_7,1
0,W0_0,W0_1,W0_2,W0_3,W0_4,W1_5,W2_6,W4_7,1
0,W0_0,W0_1,W0_2,W0_3,W1_4,W1_5,W2_6,W3_7,1
0,W0_0,W0_1,W0_2,W0_3,W1_4,W1_5,W1_6,W4_7,1
0,W0_0,W0_1,W0_2,W0_3,W1_4,W2_5,W2_6,W2_7,1
0,W0_0,W0_1,W0_2,W1_3,W1_4,W1_5,W1_6,W3_7,1
0,W0_0,W0_1,W0_2,W1_3,W1_4,W1_5,W2_6,W2_7,1
0,W0_0,W0_1,W1_2,W1_3,W1_4,W1_5,W1_6,W2_7,1
0,W0_0,W1_1,W1_2,W1_3,W1_4,W1_5,W1_6,W1_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W0_5,W0_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W0_5,W3_6,W3_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W0_5,W1_6,W3_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W0_5,W4_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W0_5,W2_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W0_5,W2_6,W2_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W3_5,W3_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W2_5,W3_6,W3_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W1_5,W3_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W1_5,W2_6,W3_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W1_5,W1_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W1_5,W1_6,W2_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W4_5,W4_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W2_5,W4_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W2_5,W2_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W0_4,W2_5,W2_6,W2_7,1
1,W0_0,W0_1,W0_2,W0_3,W3_4,W3_5,W3_6,W3_7,1
1,W0_0,W0_1,W0_2,W0_3,W1_4,W3_5,W3_6,W3_7,1
1,W0_0,W0_1,W0_2,W0_3,W1_4,W1_5,W3_6,W3_7,1
1,W0_0,W0_1,W0_2,W0_3,W2_4,W3_5,W3_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W2_4,W2_5,W3_6,W3_7,1
1,W0_0,W0_1,W0_2,W0_3,W1_4,W1_5,W1_6,W3_7,1
1,W0_0,W0_1,W0_2,W0_3,W1_4,W3_5,W4_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W1_4,W2_5,W3_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W1_4,W2_5,W2_6,W3_7,1
1,W0_0,W0_1,W0_2,W0_3,W1_4,W1_5,W1_6,W1_7,1
1,W0_0,W0_1,W0_2,W0_3,W1_4,W1_5,W4_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W1_4,W1_5,W2_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W1_4,W1_5,W2_6,W2_7,1
1,W0_0,W0_1,W0_2,W0_3,W2_4,W2_5,W4_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W2_4,W2_5,W2_6,W4_7,1
1,W0_0,W0_1,W0_2,W0_3,W2_4,W2_5,W2_6,W2_7,1
1,W0_0,W0_1,W0_2,W1_3,W2_4,W3_5,W3_6,W3_7,1
1,W0_0,W0_1,W0_2,W1_3,W1_4,W3_5,W3_6,W4_7,1
1,W0_0,W0_1,W0_2,W1_3,W1_4,W2_5,W3_6,W3_7,1
1,W0_0,W0_1,W0_2,W2_3,W2_4,W2_5,W3_6,W3_7,1
1,W0_0,W0_1,W0_2,W1_3,W1_4,W1_5,W3_6,W4_7,1
1,W0_0,W0_1,W0_2,W1_3,W1_4,W1_5,W2_6,W3_7,1
1,W0_0,W0_1,W0_2,W1_3,W2_4,W2_5,W3_6,W4_7,1
1,W0_0,W0_1,W0_2,W1_3,W2_4,W2_5,W2_6,W3_7,1
1,W0_0,W0_1,W0_2,W1_3,W1_4,W1_5,W1_6,W4_7,1
1,W0_0,W0_1,W0_2,W1_3,W1_4,W1_5,W1_6,W2_7,1
1,W0_0,W0_1,W0_2,W1_3,W1_4,W2_5,W4_6,W4_7,1
1,W0_0,W0_1,W0_2,W1_3,W1_4,W2_5,W2_6,W4_7,1
1,W0_0,W0_1,W0_2,W1_3,W1_4,W2_5,W2_6,W2_7,1
1,W0_0,W0_1,W0_2,W2_3,W2_4,W2_5,W2_6,W4_7,1
1,W0_0,W0_1,W0_2,W2_3,W2_4,W2_5,W2_6,W2_7,1
1,W0_0,W0_1,W1_2,W1_3,W1_4,W3_5,W3_6,W3_7,1
1,W0_0,W0_1,W1_2,W1_3,W1_4,W1_5,W3_6,W3_7,1
1,W0_0,W0_1,W1_2,W1_3,W2_4,W2_5,W3_6,W3_7,1
1,W0_0,W0_1,W1_2,W1_3,W1_4,W1_5,W1_6,W3_7,1
1,W0_0,W0_1,W1_2,W1_3,W1_4,W2_5,W3_6,W4_7,1
1,W0_0,W0_1,W1_2,W1_3,W1_4,W2_5,W2_6,W3_7,1
1,W0_0,W0_1,W1_2,W2_3,W2_4,W2_5,W2_6,W3_7,1
1,W0_0,W0_1,W1_2,W1_3,W1_4,W1_5,W1_6,W1_7,1
1,W0_0,W0_1,W1_2,W1_3,W1_4,W1_5,W4_6,W4_7,1
1,W0_0,W0_1,W1_2,W1_3,W1_4,W1_5,W2_6,W4_7,1
1,W0_0,W0_1,W1_2,W1_3,W1_4,W1_5,W2_6,W2_7,1
1,W0_0,W0_1,W1_2,W1_3,W2_4,W2_5,W2_6,W4_7,1
1,W0_0,W0_1,W1_2,W1_3,W2_4,W2_5,W2_6,W2_7,1
1,W0_0,W0_1,W2_2,W2_3,W2_4,W2_5,W2_6,W2_7,1
1,W0_0,W1_1,W1_2,W1_3,W1_4,W2_5,W3_6,W3_7,1
1,W0_0,W1_1,W1_2,W1_3,W1_4,W1_5,W3_6,W4_7,1
1,W0_0,W1_1,W1_2,W1_3,W1_4,W1_5,W2_6,W3_7,1
1,W0_0,W1_1,W1_2,W1_3,W2_4,W2_5,W2_6,W3_7,1
1,W0_0,W1_1,W1_2,W1_3,W1_4,W1_5,W1_6,W4_7,1
1,W0_0,W1_1,W1_2,W1_3,W1_4,W1_5,W1_6,W2_7,1
1,W0_0,W1_1,W1_2,W1_3,W1_4,W2_5,W2_6,W4_7,1
1,W0_0,W1_1,W1_2,W1_3,W1_4,W2_5,W2_6,W2_7,1
1,W0_0,W1_1,W1_2,W2_3,W2_4,W2_5,W2_6,W2_7,1
1,W1_0,W1_1,W1_2,W1_3,W1_4,W1_5,W3_6,W3_7,1
1,W1_0,W1_1,W1_2,W1_3,W1_4,W1_5,W1_6,W3_7,1
1,W1_0,W1_1,W1_2,W1_3,W1_4,W2_5,W2_6,W3_7,1
1,W1_0,W1_1,W1_2,W1_3,W1_4,W1_5,W1_6,W1_7,1
1,W1_0,W1_1,W1_2,W1_3,W1_4,W1_5,W2_6,W4_7,1
1,W1_0,W1_1,W1_2,W1_3,W1_4,W1_5,W2_6,W2_7,1
1,W1_0,W1_1,W1_2,W1_3,W2_4,W2_5,W2_6,W2_7,1
1,all,bll,cll,dll,ell,fll,gll,hll,2
2,all,bll,cll,dll,ell,fll,gll,hll,3
3,all,bll,cll,dll,ell,fll,gll,hll,4
4,all,bll,cll,dll,ell,fll,gll,hll,5
5,all,bll,cll,dll,ell,fll,gll,hll,6
6,all,bll,cll,dll,ell,fll,gll,hll,7
7,all,bll,cll,dll,ell,fll,gll,hll,8
8,all,bll,cll,dll,ell,fll,gll,hll,9
9,all,bll,cll,dll,ell,fll,gll,hll,10
10,all,bll,cll,dll,ell,fll,gll,hll,11
11,all,bll,cll,dll,ell,fll,gll,hll,12
12,all,bll,cll,dll,ell,fll,gll,hll,13
13,all,bll,cll,dll,ell,fll,gll,hll,14
14,all,bll,cll,dll,ell,fll,gll,hll,15
15,all,bll,cll,dll,ell,fll,gll,hll,0
@COLORS
1 255 0 0
2 255 18 0
3 255 36 0
4 255 54 0
5 255 72 0
6 255 91 0
7 255 109 0
8 255 127 0
9 255 145 0
10 255 163 0
11 255 182 0
12 255 200 0
13 255 218 0
14 255 236 0
15 255 255 0
EDIT:4c/8 in IS13:

Code: Select all

x = 12, y = 19, rule = IS13
.E.E4.E.E$.E.E4.E.E$.F.F4.F.F2$A3.A2EA3.A2$4.E2DE2$5.2E6$3.ED3A$7.A$
3.5A$3.A3.A$3.5A!
I stopped constructing my huge pattern because I'm busy now.
https://www.conwaylife.com/forums/searc ... Knightship

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bibunsekibun
Posts: 188
Joined: April 17th, 2021, 7:58 pm
Location: TRAPPIST-1e

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by bibunsekibun » August 17th, 2021, 11:02 pm

18c/112d

Code: Select all

x = 48, y = 51, rule = B34ez/S2-i3-acy4iqz
13bo$12bobo$12b2o11$15bo$14b3o$14bob2o$13b2o2$31bo$30bobo$30b2o10$b2o$
obo$bo9$45bo$44b3o$44bob2o$43b2o4$19b2o$18bobo$19bo!
Edit:8c/48o that behaves strangely

Code: Select all

x = 7, y = 24, rule = B34eiz5ky6n/S2-i3-acky4iqz5er
4bo$4bo$2bo2bo$bobo$bobo$bo2bo$2b3o$3bo7$bo$2o$bo$2b2o$3bo$2bo3bo$o5bo
$bo2bo$2b3o$3bo!
I'm sleepy
I'm not good at English, so please let me know if you have any grammatical mistakes
My Favorite Pattern is 60P312

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LaundryPizza03
Posts: 1381
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » August 18th, 2021, 9:32 am

Is there a still life in B34/S24 other than the beehive? I'm finding lots of partials like this one, but no sign of a complete still life.

Code: Select all

x = 21, y = 23, rule = B34/S24
20bo$20bo$18b3o$2b2o3b2o4b2o2bo2bo$bo2bobo2bo2bo2bo2b2o$bob5obo2bob5ob
o$2b2o3b7obo2bobo$3bob2o3bo2bobob2obo$2b2obob2obobob3ob3o$bob2obobobob
obo2bo$bo2bob3obobob2ob4o$2b3o5bo2bob2obobo$4b10o2bobo$4bo5bo2b4o2b2o$
2b3ob3obo2bo2b4o$bo2b2o3b5o2bo2bo$bobo2b3o2bo6b2o$2b5ob2obo$3bo2bo2b2o
$bobo2b2obo10bo$ob5ob2obo$obo2bo2bob2o2b2o4bo$bobo2b2obo5bo4bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

The latest edition of new-gliders.db.txt and oscillators.db.txt have 31531 spaceships and 1293 oscillators from outer-totalistic rules. You are invited to help!

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LaundryPizza03
Posts: 1381
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » August 18th, 2021, 6:36 pm

c/7o wickstretcher in Banks-III:

Code: Select all

x = 31, y = 7, rule = B2ce3e4jr5cin6-en7c8/S012-ac3-cn4-eikny5-kr67c8
4bo2bo2bo2bo3b12o$3b3ob7o3b4o2bo4bo$b2ob5ob4o3b7obob2o$3obob2obobob2ob
4ob2o4bob2o$b2ob5ob4o3b7obob2o$3b3ob7o3b4o2bo4bo$4bo2bo2bo2bo3b12o!
Patterns can shrink, so spaceships might exist, but I'll bet that the rule is nonetheless immortal (i.e. finite patterns cannot vanish). Right now, I'm working on a proof of this statement, but the case analysis is very tough. If you can disprove this statement, I'll give you a pass.

EDIT: Several c/2o's and a c/4o wickstretcher:

Code: Select all

x = 25, y = 59, rule = B2ce3e4jr5cin6-en7c8/S012-ac3-cn4-eikny5-kr67c8
b4o$o4b4o$b4o2bo2$7bo$6b3o$5bo$6b4o$8bo2$2b4o2bo$bo4b4o$2b4o4$b4o$o4b
7o$b4o5bo2$4b4o2bo$3bo4b4o$4b4o4$3b9o$5bo5bo$3b3o4bobo2b5o$bo3bo5bo5b
2ob3o$obobobo2b3o3b5o2bo$bo3bo5bo9bobo$3b3o3b5o8bo$5bo5b2ob9o$3b11o4$
3b5o$5b2ob13o$3b5o3b2o5b2ob3o$bo7b6ob5o2bo$obo8b2obob2o4bobo$bo7b6ob5o
2bo$3b5o3b2o5b2ob3o$5b2ob13o$3b5o6$5b4o$b2obo4bo$2obob4o2b2o$b3o6bo2$
2bo$2b11o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

The latest edition of new-gliders.db.txt and oscillators.db.txt have 31531 spaceships and 1293 oscillators from outer-totalistic rules. You are invited to help!

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iNoMed
Posts: 212
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by iNoMed » August 19th, 2021, 8:54 am

LaundryPizza03 wrote:
August 18th, 2021, 9:32 am
Is there a still life in B34/S24 other than the beehive? I'm finding lots of partials like this one, but no sign of a complete still life.

Code: Select all

snip
Completed:

Code: Select all

x = 632, y = 632, rule = B34/S24
21b2o3b2o$20bo2bobo2bo$20bob5obo$18b5o3b5o$19bo3b3o3bo$6b2o3b2o4bobob
3ob3obobo$5bo2bobo2bo2bob3o2bobo2b3obo$5bob5obo2bobo2b2obob2o2bobo$6b
2o3b7ob2ob2ob2ob2ob4o$7bob2o3bo2bob2o2bobo2b2obo2bo$6b2obob3o2b2o2bob
2ob2obo2b2ob3o$5bob2ob2ob4ob3ob2ob2ob3ob3o2bo$5bo2bobo2bo2bo3b2o2bo2bo
bobo3b2o2bo$6b3ob3ob2ob3o2b3ob2obob4ob4o$8b2obob2ob2ob3obob2ob4o4bo2b
3o$8bo2bobo2bo2bo3bobo2bo3b4obobo2bo$6b3ob3ob2ob2ob3o2b2ob2ob2ob2obob
2obo$5bo2b3o2b2ob2ob2ob3ob2ob3o4b3ob2o$3bo2b2o3bobo2bo2bo3bobo2bo3b4o
2bobo$3b4ob2obob3ob2ob3o2b2ob5ob2ob2ob2o$b3o2bob5obob2ob2ob4ob2o3bo3b
2ob2obo$o2bobobo4bobobo2bo2bo2bo2bob2ob3o2bo2bo2bo$ob2obob2ob2obo2b2ob
4o2b4obob2ob2ob2ob4o$b2ob3ob4ob3ob2obo6bob2o2bobob2ob2o2b3o$2bobo2bo4b
2o3bo2bo6bobob2obobo2bo2b2o2bo$b2ob3ob4o2b3ob5o2b4ob2ob2ob2ob3ob2ob3o$
ob2obob2ob2ob2ob2obo2bo2bo2bobo2bobob3o3bob2o2bo2b2o$o2bobobo4b2o3bo2b
ob4ob2ob4ob2o3b3obo2b2o2bo2bo$b3o2bob4o2b3ob5o2b3ob2o2b2obob2ob2ob3ob
5obo$3b4ob2ob4ob2obo3b2o3bo2bo2bob4o3b2o3bo2bob4o$3bo2b2o3bo2bo2bobob
3ob4ob5o5b3o2b3ob2o2bo2bo$5bo2b3ob3ob2obobo2b2obob2o2bob6ob4ob2ob3obob
3o$6b3ob2obob2ob3obobo2bo2bo2bo6bo2bo2bo2bo2b4obo$8bo2bobobo2bo2b3ob4o
b9ob2obob2ob2obo3bobobo$8b4obob2ob2obo2b2o2b3o2bo5b2ob3ob3ob3obob3obo$
10bobo2b2ob2ob3o2b2o3bobob3obo2bo2bo3bo2b4o2bobo$10bob3o2bo2bobob2ob3o
bobobobob2ob3ob4obo3bobob4o$11bobob3ob2o2bob2o2bobobob2obob2obob2obob
6obobo2bo$13bo3b3ob3o2bob2obobo3b2obo2bobo3bo2bobob3obob3o$12b5o3bobob
3ob2obo2b3o3b2obob5obo2bobo2b3obo$14bob5o2bobobo2b5ob5ob4o3b7ob2o2bobo
bo$14bo2bobob3obob2obo2bo3bobo2bo3bobo3bo2bob2obob3obo$15b2o3bobobo2b
2ob2o2b3o3b2ob3o3b3o2bobo2b3o2bobo$22bob3o2bob4ob5ob2ob5ob5ob2o2bobob
4o$21b3obob3obo2bobo3bobo2bo3bo2bo2bob2ob2obobo2bo$23bo2bobob2obobob4o
b3ob3ob2o2b2o2bob2obob2ob3o$23b4obobob3ob2obobobob2ob2ob4ob3o2bo2bob2o
bo$25bobo2b2o2bobo2bo3bobo2bo2bo2bo3b3ob3o2bobobo3b2o$25bob3obob2ob2ob
obobob3ob2ob2ob3o2b2obob2ob3obobo2bo$26bobobob2ob2ob3ob3obob2ob2ob2ob
2o2bobob2obo2b5obo$28bob2o2bo2bo2bobo2bo2bo2bo2bo3b4o2bo2bobobo3b5o$
27b3obob2ob2ob2ob2ob3ob2ob2ob3o2bob3ob2obob4o3bo$26bobo2b2ob2ob2ob2ob
2obob2ob2ob2ob2o2bobob2ob3obob3obobo$26bo2b2obo2bobo2bo2bo2bobo2bo2bo
3b4obobo2bo2bo2bo2b3obo$27b3ob2ob2ob4ob2ob3ob2ob2ob3o2bobo2b2ob2ob3ob
2o2bobo$29bo2b2ob3o2b2ob3o2b2ob2ob2ob2obob3ob2ob2obob2ob2ob4o$29b3o2bo
3b2o2bo3bobo2bo2bo2bob4o3bo2bo2bobo2b2obo2bo$31b4ob3ob2ob2obob2ob2ob4o
bo3b3ob2ob4ob2o2bobob3o$31bo2b2o2bob2ob5ob2ob2obo3b2ob2ob2ob2obo2b2ob
2ob3obo$33bo2b2obo2bo4bo2bo2bo2b3ob3o3bo2bo2b2o2bob2o2bobobo$34b3ob2ob
2ob2ob2ob2ob4ob2o3b3ob2ob3ob3o2bobob3obo$36bo2b2ob5ob3ob2o2bo2bob3ob3o
b2o2bobob2ob3o2bobo$36b3o2bo5bo3bo2b3ob2obo2bo3bo2b3obob2obo2b2ob4o$
38b4ob3ob3ob3obob2ob2ob2ob2ob2obob3o2bobob2obo2bo$38bo2b2o3b2o2b2o3bob
o2bob2ob3ob2obobo2b3obobo2b2ob3o$40bo2b3o2b2o2b3o2b2ob2o2bo3bo2b3ob2ob
ob3ob3ob2o2bo$41b3ob2ob2ob2ob3ob2obob2ob2ob2o2bob2obobo2b2o2bo2bobo$
43bo2b2o2b2o3bobo2b2ob2obob2ob3obo2bob2obo2b2ob6o$43b3o2b2o2b3o2b2obob
o2bobo2bobob2ob3ob2ob3ob2o3bo$45b4ob3ob3ob2obob2ob2ob2obobob2o2bo2b2o
2bo2b2obobo$45bo2bo3bo2bobo2b2ob2obob2ob3obo2b2ob2o2bob2ob5obo$47bob3o
b2o2b2obobo2bobo2bo2bob3ob3ob4ob2o4bobo$48b2ob2ob4ob2ob4ob4ob2o3b2o3bo
bo2bo2b4ob4o$49bobo2bo2bobob2o2b3o2b3ob3o2b4o2bob4ob2obo2bo$48b2ob3ob
2obobo2b2o3b2o3b2ob4obob5o2bo3bobob3o$47bob2obob2ob2ob4ob4ob2obo2bo2bo
2bobo3b2ob3ob3obo$47bo2bobobo2bob2o2bob2o2bobob4o2b4obob3ob2ob2o2bobob
o$48b3o2bob2obo2b2obo3b2ob2obo6bob3o2bo2bo2bobob3obo$50b4ob2ob2ob2ob5o
bobobo6bobo2b2ob2ob2ob3o2bobo$50bo2b2o2bob2o2b2o3bob2ob4o2b4obob2ob2ob
2obo2b2ob4o$52bo2b2obo2b2o2b3obobobo2bo2bo2bobobo2bo2bo2b2ob2obo2bo$
53b3ob2ob2ob3ob2ob2ob2ob4ob2obob2ob2ob3ob2o2bobob3o$55bo2b2obo3bo2bobo
b2ob2o2b3ob3ob2ob2obobo2b2ob3obo$55b3o2bob3ob2obobo2bo2b2o3bo2bobo2bo
2bob3ob2o2bobobo3b2o$57b4ob2ob2ob2ob2ob4ob4ob2ob2ob5obobo2b2ob3obobo2b
o$57bo2b2o3bo2bob2ob2o2bo4b3obob2obo2bobob2ob2obo2b5obo$59bo2b4ob2o2bo
2bobob4o3b2obo2bob2obob2obo2b2obo3b5o$60b3obob2ob2ob3obob2ob4o3b2obob
2obobo2b3ob2ob3o3bo$62bo2bo2bob2obob3o4bob5ob3o2b3ob2obobo2b2ob3obobo$
62b4ob2o2bobobo2b4o3bobo2bo2b2o2bob2obob2obo2bo2b3obo$64bob2ob2ob3obob
2ob4o3b2ob2ob4obo2bob2ob2ob3o2bobo$64bo2bob2obo2b3o4bob5ob2obo2bob2ob
3o2bob2obob2ob4o$65b3o2bob2obo2b4o2bo3bobo2b2obo2b3o2b3o2bobob2obo2bo$
67b4ob2ob2ob2ob4ob2obob3ob4o3b2obob2ob3o2bobob3o$67bo2b2o2bob2o3bo2b4o
b2obo2bo2b3ob2obob2obo2b2ob3obo$69bo2b2obo2b3ob2o4bobo2b2ob2o2bobo2bob
o2b3ob2o2bobobo$70b3ob2ob2ob2ob6ob4ob2ob2obob2o2b3obobo2b2ob3obo$72bo
2b2obo2bobo4b3o2bobo2b2ob2ob3obobo2b3ob2o2bobo$72b3o2bob2obob4o3bob2ob
2o2bobo2bobo2b3obobo2b2ob4o$74b4ob2ob2ob2ob5obob2ob2ob2obob4o3bob2ob2o
bo2bo$74bo2b2o2bobo4b2o2bob2o2b2ob2ob3obo2b3o2b2obo2b2ob3o$76bo2b2obob
4o3b2o3b2o2bo2bo2bobob2ob3o2bob2ob3o2bo$77b3ob2ob2ob5ob3ob4ob2obob3obo
2bob2ob2obo3b2o2bo$79bo2b2o3bo3bob2obo2bob2ob3o2bob2obob2obo2b4ob4o$
79b3o2b3ob3obo3b2o2bo2bo2bob2ob2obobo2b4o4bo2b3o$81b4ob2ob2ob4ob4ob2ob
2ob2o2bo2bob2obo2b4obobo2bo$81bo2bo2bo3b2o4bo2b2ob3obo2b2ob3ob2obob2ob
2obob2obo$83bob2ob3o2b4ob2o2bo3bob2ob2obobo2b4o4b3ob2o$84b2ob2ob2ob2ob
2ob4ob2ob2obo2bo2b2obo3b4o2bobo$85bobo3b2o3bo2bo2b4obo2b2ob4ob2ob3ob2o
b2ob2o$84b2ob4o2b3ob3obo4bob2ob3o2bo2b2o2bo3b2ob2obo$83bob2obob4ob2obo
b5ob2ob2o3b2ob2o2b2ob3o2bo2bo2bo$83bo2bobobo2bobo2bobo2b3obo2bob3ob2ob
3ob2ob2ob2ob4o$84b3o2bob2obob2o2b2o4bob3obo2bo2bobo2bo2bob2ob2o2b3o3b
2o$86b4ob2ob2ob3ob4ob2obob2ob2ob2obob2ob2o2bo2bo2bo2bobo2bo$86bo2b2o2b
obobo3bo3b2o2bobob2ob2ob3ob2ob2ob2ob4ob5obo$88bo2b2obobob3ob3o2b4obo2b
o2bo2bo2bo2b2ob3o2b3o3b5o$89b3ob2ob2ob2ob2ob2obo2b2ob2ob2obob2ob2o2bo
3b2o3b3o3bo$91bo2b2obo3bo3b2o2bobob2ob2ob3ob2ob4ob3ob4ob3obobo$91b3o2b
ob3ob3o2b4obo2bo2bo2bobo2bo2b2o2bo4bobo2b3obo$93b4ob2ob2ob4o2bob4ob2ob
2ob3obo2bobob3ob2ob2o2bobo$93bo2b2o3bo2bo2bobob2o2b2ob3obobob4ob3ob3ob
ob2obob4o$95bo2b3ob3ob2obobo2bo2bo3b2obobo2b2o2bo4b2o2bobobo2bo$96b3ob
2obob2ob3ob4ob4o3bo3bo2b2ob3obob3obob2ob3o$98bo2bobobo2bo2b2o2b2obob6o
3b3ob2obob2obob4ob2o2bo$98b4obob2ob2obo2bo2bo2bo3bobo4bo2bob2obobobo3b
o2b2o2bo$100bobo2b2ob2ob5ob3ob2o2bo5b4o3bobo2b3ob3ob4o$100bob3o2bo2bob
o2b2obob2o11bob4ob4o2b2o3bo2b3o$101bobob3ob2o2bo2bobo2bobo9bo4b2obo2b
2o2b3obobo2bo$103bo3b3ob5ob3ob2obo6b6obo2bob2ob2ob2obob2obo$102b5o3bob
o2b2o2b2obobo6bo2bobob5obob2o3b3ob2o$104bob5o2bo2bobo2bob4o2b3o2bob2ob
o2bob2o2b3o2bobo$104bo2bobob6obob2obo2bo2bo5bobo2b2obobob2ob4ob2o3b2o$
105b2o3bobo2bob3ob2obob4o7b4ob2ob2obobo2b3obobo2bo$112bo2bobo2bo2b4o2b
3o4b2o2bobobobob2ob2o3b5obo$111b6obob2obo3bobo2bo2bobob2ob2ob2o3b2ob2o
bo3b5o$113bo2bobob2ob3obob3o2bo2b2ob2obobob3o2bobob4o3bo$113bob2obo2bo
3bobo3b6obo2bob2ob2ob4ob2obob3obobo$114b2ob4ob3ob5o2bo2b2ob2obobobo2bo
2b2obobobo2b3obo$115bobo2b3ob2o2bob2obobo2b2ob2ob2ob2ob2o2bob3ob2o2bob
o$114b2ob3o3bo2b2o2bob5obo2bobobob2ob2ob2obo2b2ob2ob4o$113bob2obob2ob
3ob4obo3b2ob2obob2o2bo2bob2ob2obo2b2obo2bo$113bo2bobob4o3bo2b2ob3o2b2o
b2obob2ob2obo2bob2ob2o2bobob3o$114b3o2bo4b4obo2b2ob3o2bo3b2ob2ob2ob2ob
o2b2ob2ob3obo$116b4ob4obob4o2bo2b3ob3obo2bo2bob2ob3o2bob2o2bobobo$116b
o2b2o3bobobo2b3ob2o2b3ob2ob2ob2obo2bobob2obo2b2ob3obo$118bo2b4o2bob2o
2b3ob2o3bo2b2ob2ob2ob2obob2ob3ob2o2bobo$119b3obob3ob2obo3b2ob2ob2obo2b
o2bob2ob3o2bobobo2b2ob4o$121bo2bobobo2b4obo2b3ob2ob2ob2obo2bo2bob2obob
2ob2obo2bo$121b4obob2obo2bob3o3bo2b2ob2ob2ob2ob2ob2obob2obo2b2ob3o$
123bobo2b2ob3obobob2ob2obo2bo2bob2ob2obo2bo2bo2b3ob3o2bo$123bob3o2bobo
b2obob3ob2ob2ob3obo2bo2b2ob3ob2obobo3b2o2bo$124bobob3obobob3o3bo2b2ob
2o3b2ob3ob2obob2obo2b4ob4o$126bo3b4obo2bob2ob2o2bo2b3ob3o3bo2bobo2b4o
4bo2b3o$125b5o3bob3ob3ob2ob2ob2ob2o3b3ob4ob2obo2b4ob2o2bo$127bob5o3b2o
3bo2b2ob2o3bob3ob3o2bob2o2bob2ob2ob2ob3o$127bo2bobob3o2b3ob2o2bo2b4obo
2bo3b2obo2b4o3bo2bob2o2bo$128b2o3b2ob4ob2ob4ob2obob2ob2ob2ob2ob2obo2b
3ob2obo2b2o2bo$134bobo2bo2bobo2b3o2bobob2ob3o2bob2obob2ob2ob2ob2ob4o$
133b2ob3ob2obob2o3b2o2b2o2bo3b2obo2b3obo2bo2bob2obo2b3o$132bob2obob2ob
2ob2ob2ob3obob2ob2ob2ob2o2bob2ob4o2bob2obo2bo$132bo2bobobo2bobo2b3o2bo
b2ob2obobo2b2ob2ob2ob2o2b4ob2ob2obo$133b3o2bob2obob2o3b2o2bobo2bobob2o
2bob2o2bo2b2o2bobo2b2ob4o$135b4ob2ob2ob4ob4ob2ob2ob2ob2obo2b2ob2ob3o2b
2obo2bo2bo$135bo2b2o2bobobo4bo2b2ob2obobo2b2ob3ob2ob2o2b3ob2ob2obob3o$
137bo2b2obobob4ob2o2bo2bobob2o2bobobo2bo2b2o2b2o2b2ob3obo$138b3ob2ob2o
b2ob2ob2ob2ob2ob2ob2obob3ob2ob3o2b2o2bo2bobobo$140bo2b2obo4bo2b2ob2obo
bo2b2ob3obob2obo2b3ob4obob3obo$140b3o2bob4ob2o2bo2bobob2o2bo2bobobo2b
2obo3bo2b4o2bobo$142b4ob2ob2ob2ob4ob2ob4ob2obob3ob2ob3ob2o3bobob4o$
142bo2b2o3bo2bob2o2b2obobo2b3ob3obobo2b2ob2ob5obobo2bo$144bo2b3ob3o2bo
bo2bobob2o3bo2bobob2obo3bo2bobobo2b2ob3o$145b3ob2obob2ob5ob2ob5ob2obob
2ob4ob2o2bob4ob2o2bo$147bo2bobob2obo2bobobobo3b3ob3o2bobob2ob5obo2bo2b
obo$147b4obobo2b2o2bobobob3o3bo2bob2obobo2bo2bo2bob2ob3o$149bobo2b3ob
4ob2ob2ob5ob2ob2obob3obo2b4ob2obo$149bob3obobo2bobobobo2bo3b3obo2b3obo
b5o2bo2bobobo3b2o$150bobobo2b2obob2obob2ob3o3bob2o2bobo2bo2bobob2ob3ob
obo2bo$152bob3ob4obob2ob2ob2ob2ob2ob2ob4o2b2obob2obo2b5obo$151b3obobo
3bob2obo2bo3b3obo2b2obo2b4obo2bo2b2obo3b5o$153bo2bob2ob2obob3ob3o3bob
2o2bobobo2bob3ob2ob2ob3o3bo$153b4ob4o2b2obob2ob5ob2ob2obob3obobob2obo
2b2ob3obobo$155bobo4b2obobobo2bo3b2o2b2ob3obob2obobo2b2obo2bo2b3obo$
155bob5ob2obo2b2ob4o2b2o2bo2bobobob3ob2ob2ob2ob2o2bobo$156bobob2o2bob
3ob2obob4ob3ob2obob2o2bob2o2bob2ob2obob4o$158bo3b2obobobo2bo2bo2bo3b3o
b3obob2o2bob2o2bo2bobobo2bo$157b6ob2obob2ob3obob4o3bo2bob2ob4ob2ob2ob
2obob2ob3o$159bobo2bob3ob2obob3obob5ob2o3bo2bobo2b2ob2ob3ob3o2bo$159bo
2b2obo2bobo2bo2bo2bobo3b3ob3ob2o2b2obo2bo2bo2bo3b2o2bo$160b3ob2ob2ob5o
bob3ob3o3b2ob2ob4ob2ob2ob2ob2ob2ob4o$162bo2b2ob3o2bob4o2b2ob3obo2bo2bo
2bobob2ob2ob2ob3obo2b3o$162b3o2bo3b2o2bo3b2o2bo2bob3ob2ob2obobo2bo2bo
2bo3bobobo2bo$164b4ob2ob4ob2ob4obobobob2ob2ob2ob2ob2ob2ob2ob2obob2obo$
164bo2b2o3bo2b2o3bo2b4obo2bo2bo2bobob2ob2ob2ob3ob3ob2o$166bo2b4obo2b3o
b2o3bob3ob2ob2obobo2bo2bo2bo3bo2bobo$167b3obob3ob2ob2ob2ob2obob2ob2ob
2ob2ob4ob2ob3ob2ob2o$169bo2bo2b2o3bo2b4o2bobo2bo2bob2ob2o2b2ob2o2b2ob
3obo$169b4obo2b3ob2o4b4ob2ob3obo2bo2bo2bo2b2o2bo3bo2bo$171bob5ob2ob2ob
2obo2b2ob2o3b2ob5ob4ob2ob2ob4o$171bo2bo2bo2bo2b4o2b2o2bo2b3ob3o2bob2o
2bob2ob4o2b3o$172b2o2bob2ob2o4b3ob2ob3ob2o3b2o2bo2bobo2bo4bobo2bo$177b
2ob2ob2ob2o2bob2obo3bob2ob3ob4ob2ob2ob3obobo$178bobo2b4o2b2o2bo2b4obob
o2b3o2bob2ob4o2b6o$177b2ob3o4b3ob2ob3obobobob2o3b2obo2bo4bobo3bo$176bo
b2obob2ob2o2bob2obo2bob2ob2ob2ob2ob2ob4obob3obobo$176bo2bobob4o2b2o2bo
bob3obobo2b3o2b2ob2o3b4o2b3obo$177b3o2bo4b3ob2ob3obo2b2ob2o3b2o2bo2b2o
bo3b2o2bobo5bo$179b4ob4o2bob2o2bo2b2obob2ob3ob2ob2obob2ob2ob2ob4o2bobo
$179bo2b2o3bob2o2bobob3ob2o2bobo2bob2ob2obob3o2b2obo2bo2bobo$181bo2b3o
b2ob2ob3obo2bob2ob2ob2o2bo2bob2o3b2o2bobob5o$182b3ob2o2bob2o2bobob2ob
2obob2ob2ob2obobob3ob2ob4o2bo$184bo2bob2o2bobob3ob2o2bobo2b2ob2ob2ob2o
2bob2obo3bobobo$184b4ob2ob2obobo2bo2b3ob2obo2bo2bobobobobo2bobob5obo$
186bobo2b2ob3ob2ob2obobob2ob2ob2obobob3ob2ob4o3bobo$186bob3o2bo2bob2ob
2o2bobo2b2ob2ob2ob2o2bob2obo3b3ob4o$187bobob3obobo2bo2b3ob2obo2bo2bobo
bobobo2b2ob2ob2obo2bo$189bo3b4ob2ob2obobob2ob2ob2obob2obob2obob3o3bobo
b3o$188b5o3bob2ob2obob2o2b2ob2ob2obob3ob2obo3b3ob3obo$190bob5o2bo2bobo
3b2o2bo2bo3b2o2bo2bob2ob2ob2o2bobobo3b2o$190bo2bobob3ob2o2b3ob3ob2ob3o
bobob2obob3o3bobob3obobo2bo$191b2o3bobob2ob3ob2o2b2ob3ob3obob2ob2o3b4o
bobo2b5obo$198bo2bo3bo2bobo2bo3bo4bo2bo3b4obob3obobo3b5o$197b4ob4ob2ob
ob2ob3ob5ob5obo3bo2bobob4o3bo$199bob2obob2ob3ob2o2b2o3bob2o3bo2b4obob
3obob3obobo$199bo2bobobo2bo2bo2b2o2b2o2bo2bobob3obob3o2bobobo2b3obo$
200b3o2bob2ob2ob2ob2ob5ob5obo3bo2bobobo2b3o2bobo$202b4ob2ob2ob2o2b2o3b
ob2o3bo2b4ob2obob3obob2ob4o$202bo2b2o2bo2bo2b2o2b2obo2bob2ob3obob2ob4o
3bob2obo2bo$204bo2b2ob2ob3ob2obobob2obob2o2bo2bo2bo3b5o2bobob3o$205b3o
b2ob2o2bob2ob3ob2obo2bob4ob2ob3obo2b2ob3obo$207bo2bo2bob2o2bobo2bo2b2o
b4o2b2ob2o2bo2b2ob2o2bobobo$207b4ob2ob2ob2ob2ob2obob2o3b2o2bo2b2ob3obo
2b2ob3obo$209bob2obo2b2ob2ob2ob2o2bob3ob2ob3ob2o2bob2ob2o2bobo$209bo2b
ob2obo2bo2bo2bob3obo2bob2obo2bo2b2ob2o2bobob4o$207b6ob2ob2ob2ob2ob2obo
b2ob2o2bo2b2ob3obo2b3obobo2bo$206bo2bo2b2o2bob3ob2ob2o2bobob2ob2ob3ob
2o2bob2obobo2b2ob3o$207b2o2bo2b2obo3bo2bo2b4obo2bob3o2bo2b2ob2obo2b3ob
3o2bo$212b3ob2ob3ob2ob2o2bob2ob2o3bob2ob2obo2b3obobo3b2o2bo$214bo2b2o
2b2ob3o2bobob2obob4ob2o2bob2obobo2b4ob4o$214b3o2b2o2bo3b4obo2b2obo2bo
2bob2ob2obob4o4bo2b3o$216b4ob3ob3o2bob2obob2ob2ob2ob2o2bo2bobo2b4ob2o
2bo$216bo2bo3b2o2bobob2ob2o2b3ob2obo2b2ob3o2bob2ob2ob2ob3o$218bob3o2b
3obobo2bob2o3bo2bob2ob2obob4o3bo2bob2o2bo$219b2ob3obob3ob2obob2ob2ob2o
b2o2bo2bobo2b3ob2obo2b2o2bo$220bobo3bobo2b2ob2o2b3ob2obo2b2ob3obob2ob
2ob2ob2ob4o$219b2ob4o2b2obo2bob2o3bo2bob2ob2obob4o3bo2bob2obo2b3o$218b
ob2obob4ob2ob2ob2ob2ob2ob2obo2bo2bo3b3ob2obo2bobobo2bo$218bo2bobobo2bo
bob2obo2b3ob2obo2b2ob4ob3ob2ob2ob2ob3obobo$219b3o2bob2obobo2bob2o3bo2b
ob2ob3o2b2o2bo2bo2bob2obo2b6o$221b4ob2ob2ob2ob2ob2ob2ob2ob2o3b2o2b2ob
2ob2obo2bobobo3bo$221bo2b2o2bobob2obo2b3ob2obo2bob3ob3ob2ob2ob2ob2obob
3obobo$223bo2b2obobo2bob2o3bo2bob3obo2bobo2bo2bo2bob2ob4o2b3obo$224b3o
b2ob2ob2ob3ob2ob2obob2ob2obob2ob2ob2o2bobo3b2o2bobo$226bo2b2ob3o2bo2b
2ob2o2bobob2ob3ob2ob2ob4ob5ob2ob4o$226b3o2bo3b2ob2o2bo2b4obo2bo2bobo2b
o2bo2b2obobo2b2obo2bo$228b4ob2ob2ob2ob4o2bob4ob2ob2ob3obo2bobo2b2o2bob
ob3o$228bo2b2o3bo2bob2o2bobob2o2b3obob2obob5o2b3ob2ob3obo$230bo2b3ob3o
2bob2obobo2bo3b2obo2bobo2bob3o2bob2o2bobobo$231b3ob2obob2ob2ob3ob6o3b
2obob2obo3bob2o2bobob3obo$233bo2bobob2obo2bo2b2o2bob5ob4ob5ob2ob2ob3o
2bobo$233b4obobo2b2ob2obo2bo3bobo2bo3bo2bob2o2bob2o2bobob4o$235bobo2b
3ob2ob2ob6o3b2ob3ob2o3bob2o2bob2obobo2bo$235bob3obobo2bo2b2o2bob5ob2ob
2ob5ob2ob2ob2obob2ob3o$236bobobo2b2ob2obo2bo2bo3bobo2bo2bo3b2o2b2obo2b
3ob2obo$238bob3ob2ob2ob5ob4ob3ob2obobo2b2o2bob2o2bo2bobobo$237b3obobo
2bo2b2o2bob2obobobob2ob7ob3ob2obob2ob3obo$239bo2bob2ob2o2bobo2bo2bobo
2bo2bo3bo2bobobo2b3ob2o2bobo$239b4ob2ob2ob5ob4ob3ob2ob3o2b2o2bob2o2bo
2bobob4o$241bobo2bo2b2o3b3o2b2obob2ob2ob4ob3ob2obob3obobo2bo$241bob3ob
2o2b3o3bobo2bo2bobo2bo2bo3b2o2b3obobo2b2ob3o$242bobob2ob3ob3obob2obob
2ob3ob2ob3o2b2o2bobob4ob2o2bo$244bo2bo3bobo2b3ob4ob2obob2ob2ob2ob2ob2o
2bobo2bo2b2o2bo$243b4ob4ob2obo2bo3bobo2bobo2bo3b2o2b2ob3o2bob3ob4o$
245bob2obob2ob2ob2ob2ob2ob3ob2ob3o2b2o2bobob5o3bo2b3o$245bo2bobobo2bob
2ob3obob2o2b2ob2ob4ob3o2bobo3b3ob2o2bo$246b3o2bob2obo2bo3bobo2bobo2bo
2bo2bo3b4obob3ob2ob2ob3o$248b4ob2ob2ob2ob2ob2obob2ob3ob2ob3o2bob3o2bob
o2bob2o2bo$248bo2b2o2bob2ob3ob2ob3ob2obob2ob2ob2o2bo2bobobob2obo2b2o2b
o$250bo2b2obo2bo3bo2bo2bo2bobobo2bo3b4ob2obob2ob2ob2ob4o$251b3ob2ob2ob
2ob2ob2ob2ob3ob2ob3o2bob2ob3obo2bob2obo2b3o$253bo2b2ob4ob2ob2ob2obo2b
2ob2ob2obo2bobo2bob2obo2bob2o2bo$253b3o2bo4bo2bo2bo2bobobo2bo2bob5ob4o
b2ob2ob2ob2ob3o$255b4ob4ob2ob2ob2obob2ob4obo2bob2o2b2o2bob2obobob2o2bo
$255bo2b2o3b2ob2ob3ob3ob2obo3b2obobo2bo2b2obo2bobobo2b2o2bo$257bo2b3o
2bo2bo3bo2bo2bo2b4ob3ob4ob2ob4ob2ob2ob4o$258b3ob2ob2ob3ob2ob2ob4obo2bo
2b2o2b2o2b2o2b2obob2obo2b3o$260bo2b2ob3o2b2ob2ob2o2bo2b2ob2o2b2o2b2o2b
2o2bobo2bobobo2bo$260b3o2bo3b2o2bo2bo2bob4ob2ob2ob4ob2ob4ob4obob2obo$
262b4ob2ob2ob4ob4o2bobo2b2obo2bob2obo2b3o2b4ob2o$262bo2b2o3bob2o2b3o3b
2obob2o2bob2obo2bob2o3b2o3bobo$264bo2b4o2bobo3b4ob2ob2ob2ob2ob4ob2ob2o
b5ob2o$265b3obob3obob3obo2bobo2b2obo2b2o2b2o2b3obo3b3obo$267bo2bobob3o
2bobob2ob3o2bob2o2b2o2b2o3bob3o3bo2bo$267b4obobo2b2ob3ob2obob2ob2ob2ob
3ob5ob2ob2ob4o$269bobo2b3ob2o2bo2bobob2obo2b2obo3bo3b2o3b4o2b3o$269bob
3obobo2b2ob2ob3o2bob2o2bob3ob3o2b3o4b2o2bo$270bobobo2b2ob2ob2obo2b3ob
2ob2ob2ob2ob4ob2ob2ob2ob3o$272bob3ob2o2bo2bob2obobo2b2obo3bo2bo2bo2b4o
2b3o2bo2b2o$271b3obobo2b2ob3ob2obob3o2bob4ob2obob2o4b2o3b2o2bo2bo$273b
o2bob2ob2obobo2b3obob2ob2obob2ob3ob5ob4ob5obo$273b4ob2o2bobob3o2bobob
2obo2bo2bo2bo2bo5bo4bo2bob4o$275bobo2b2ob3obob2obo2bo2b5ob2obob2ob5ob
4obo2bo2bo$275bob3ob2o2bobob2ob3ob3o2bob2ob3ob2o4b2o3b6o2b3o$276bobobo
2b2ob3o2bobob2o2bo2bo2bo2bo2bob3o2b3o3bo6bo$278bob3ob2o2bob2obobo2b5ob
2obob3obob4ob3obo6b3o$277b3obobo2b3ob2obob4o2bob2ob3obob2obo2bobo2b4o
2b3o2bo$279bo2bob2obobo2b3obo2bo2bo2bo2bobobobob2obobobo2bo2bo2bobo$
279b4ob2obob3o2bobob5ob2ob2obob2ob2ob2obob2ob4ob3o$281bobo2b3obob2ob3o
bo2b2ob3ob3obobo2bob3ob3o2b2obo$281bob3o2bobob2obo2bo2bo2bo3bo2bob2ob
3obo2bo3bobo2bobo$282bobob3obobo2b2ob5ob5ob2o3b2o3b2ob3obob5obo$284bo
3b4ob2ob2obo2b3o3b3ob3o2b3ob3o2b3obo2bobo$283b5o3bob2o2bobobo3b3o3b2ob
4ob2o3b2o2bobobob4o$285bob5o2bob2obobob3ob3obo2bo2bo2bob3ob3obobobo2bo
$285bo2bobob3ob2obobobo2bo2bob4o2b4obo2bobobo2bob2ob3o$286b2o3bobobo2b
o2bob3ob2obobo6bob2ob2obob5ob2obo$293bob2ob5obob2ob2obo6bobob2ob3obo2b
o2bobobo3b2o$292b3ob2obo2bobobo2bob4o2b4obo2bo2bobobob2ob3obobo2bo$
294bo2bobobob3ob3obo2bo2bo2bob3ob3obobob2obo2b5obo$294b4obobobo2b2o3b
2ob4ob2o3b3o3bobobo2b2obo3b5o$296bobo2bob3o2b3ob3o2b3ob3o3b3o2bob2ob2o
b4o3bo$296bob5obob3ob2o3b2o3b2ob5ob5ob2o2bobob3obobo$297bobo2bobo3bo2b
ob3ob2obo2bo3bo2bo2bo2bob2obobo2b3obo$299bob2o2b3ob3obo2bobob3ob3ob2o
2bob3ob2obob3o2bobo$298b3ob4ob2obob2ob2ob2obob2ob2ob5obobo2b3obob2ob4o
$297bobo2bo2bo2bobobob2obobobobo2bo2bo2bo2bob3o2bobob2obo2bo$297bo2b3o
2b4o2bobo2bob2obob3ob2obo2b4obob2ob3o2bobob3o$298b3o6bob3ob4obob3obob
2ob5o2bobob2obo2b2ob3obo$300bo6bo3b3o2b3obo2bo2bo2bo2bo2b2obobo2b3ob2o
2bobobo$300b3o2b6o3b2o4b2ob3ob2obo2b3ob3ob2obobo2b2ob3obo$302bo2bo2bob
4ob5ob2obob2ob5o2bo2bob2obob3ob2o2bobo$302b4obo2bo4bo5bo2bo2bo2bo2bob
2obobo2b3obobo2b2ob4o$304bob5ob4ob5ob3ob2obob2ob2obob3o2bobob2ob2obo2b
o$304bo2bo2b2o3b2o4b2obob2ob4obo2b3obob2ob3ob2o2bobob3o$305b2o2bo2b3o
2b4o2bo2bo2bo3bob2o2bobob2obo2bo2b2ob3obo$310b3ob2ob2ob2ob4ob2ob2ob2ob
2ob3o2bob2ob2ob2o2bobobo$312bo2b2o4b3o2b3ob3obo2b2obo2b3ob2ob2o2bobob
3obo$312b3o2b4o3b2o3bo3bob2o2bob2obobo2bo2b2ob3o2bobo$314b4ob2ob2ob5ob
3ob2ob2ob2obob2ob3ob2o2bobob4o$314bo2bo3b3obo3b2o2b2o2b2obo2b3ob2obobo
2b3obobo2bo$316bob3o3bob3o2b2o2b2o2bob2o2bobo2bob3obob3obob3o$317b2ob
5ob2ob2ob4ob2ob2ob2ob2ob4o3bobo2b4o2bo$318bobo3b2o3b2obo2bob2obo2b2obo
b2o3b3o2b2obo3b2o2bo$317b2ob4o2b3o2bob2obo2bob2o2bobo2b4ob4ob2ob2ob4o$
316bob2obob4ob4ob2ob4ob2ob2ob4obo2bo2bo2b2o3bo2b3o$316bo2bobobo2bobo2b
2o2b2o2b2o2b2ob2o2bo2b2ob2ob2o2b3ob2o2bo$317b3o2bob2obob2o2b2o2b2o2b2o
2bo2bob4ob2ob2ob3ob2ob2ob3o$319b4ob2ob2ob4ob2ob4ob3ob4o2bo2bo2bo3bo2bo
2b3o2bo$319bo2b2o2bobobo2bob2o2bo2bobob2o3bob2ob3ob3ob2ob2o3b2o2bo$
321bo2b2obobob2obo2b2o2b2obo2bob4ob2obob2ob2ob2ob4ob4o$322b3ob2ob2ob2o
b2ob4ob5obo2bo2bobobo2bo2bo2bo4bo2b3o$324bo2b2obo2bob2obo2bobo2bob2ob
2ob2o2bob2ob2ob2ob4ob2o2bo$324b3o2bob2obo2bob3ob2obo2b3ob2ob3ob2ob2ob
2ob2ob2ob2ob3o$326b4ob2ob2ob2obob2ob4o3bo2bobobo2bo2bo2bo3bo2bob2o2bo$
326bo2b2o2bob2obobobo2bo2b2ob2ob2obob2ob3ob2ob3ob2obo2b2o2bo$328bo2b2o
bo2bobo2b3obo2b3ob2ob3ob2obob2ob2ob2ob2ob2ob4o$329b3ob2ob2ob3obob4o3bo
2bo2bo2bobo2bobo3bo2bob2obo2b3o$331bo2b2ob3o3bobo2b3ob4ob2ob2o2b2obob
3ob2obo2bobobo2bo$331b3o2bo3b5obobo2b2o2b3ob2ob3ob2ob2ob2ob2ob2obob2ob
o$333b4ob3obo2b3ob2o2b2o3bo2bobo2bobo3bo2bob2ob4ob4o$333bo2b2o2bo2bobo
2b2ob2ob2ob2ob2obob2ob4ob3o2bobo3bo2bo$335bo2b2ob4obobo2b2o2b3ob2ob3ob
2obob2obob3ob3ob2obobo$336b3ob2o2bobob3o2b2o3bo2bo2bobo2bo2bobo3b3o2b
2ob3obo$338bo2bobob3obob2ob3ob4ob2ob2obob2o2b3o3b2o2bo2bobo$338b4obobo
2bo2b2obo2b2o2b3ob2ob3ob4ob5ob2ob2ob4o$340bobo2b2ob3o2bobobo2bo3bo2bo
2bobo2bo2bobo2b2ob2obo2bo$340bob3ob2obob2ob3ob7ob2obobobob2obo2b2o2bo
2bobob3o$341bobobo2bo2b2obo2b2o2bobob2ob3ob4ob5ob2ob2ob3obo$343bob2ob
3o2bob2o2b2o3bo2bo2bobo3bo2bo2bob2ob2o2bobobo$342b3ob2obob2ob2ob2ob5ob
2ob2ob5obo2b2o2bo2bobob3obo$344bo2bobob2obo2b2obo3b2ob3ob2o3b6ob2ob2ob
3o2bobo$344b4obobo2b2obo2b2obo2bo3bo2bobo3bo2bob2ob2o2bobob4o$346bobo
2b3ob2ob2ob5ob4ob5obo2b2o2bo2bob2obobo2bo$346bob3obobo2b2obo3bob2obob
2o3b6ob3ob2ob2obob2ob3o$347bobobo2b2obo2b3obo2bobo2bob2o3bo2bobob2obo
2b3ob3o2bo$349bob3ob2ob3o2b5obob2obob3o2b2obobo2b2obo2bo3b2o2bo$348b3o
bobo2b2o2bobo2bob3ob2ob2ob4obo2b4ob2ob2ob2ob4o$350bo2bob2o2bobob2o2bo
2bo2bobo2bo2bob4o2bo2b2ob2o3bo2b3o$350b4ob2ob5ob4ob2ob2ob3ob2obobo2b2o
b2o2bo2b3ob2o2bo$352bobo2b2o3bobo2b2ob2ob2obob2ob2obob2ob2ob3ob2ob2ob
2ob3o$352bob3o2b4ob2obo2bo2bo2bobo2bob3obo2bo3b2obo2bobob2o2bo$353bobo
b3obob2ob2ob2ob2ob3ob3obo2bob2ob3o2bob2obobo2b2o2bo$355bo3bobobo2bob2o
b2ob2o2b2o3b2ob2ob2ob2ob2ob2ob2ob2ob4o$354b6o2bob2obo2bo2bo2b2o2b3ob2o
bo2bo3b2obo2bobob2obo2b3o$356bobob3ob2ob2ob2ob3ob4ob2o2bob2ob3o2bob2ob
obo2bobobo2bo$356bo2bobobo2bob2ob3o3bo2bo2bob2ob2ob2ob2ob2ob2ob4obob2o
bo$357b3o2bob2obo2bo3b4obob2ob2obo2bo3b2obo2bob2o2b4ob2o$359b4ob2ob2ob
2ob2obob3ob2o2bob2ob3o2b2ob2o2bobo3bobo$359bo2b2o2bob2ob3o2bobo2bo2b2o
b2ob2ob2obob2ob3obob3ob2o$361bo2b2obo2bo3b4obob2ob2obo2bo3b2obo2bobob
3o2b3obo$362b3ob2ob2ob2obo2b3ob2o2bob2ob3o2b2ob2obobo2b2o3bo2bo$364bo
2b2ob4o2bobo2bo2b2ob2ob2ob2obob2obo2b3ob3ob4o$364b3o2bo4b4obob2ob2obo
2bo2bob2o2bob4o3bo2b2o2b3o$366b4ob4o2bobob2obo2b2ob4obob2obobo2b3ob2o
2b2o2bo$366bo2b2o3bobob3o2bob2ob2obo3b2ob2obo2b2ob2ob3ob2ob3o$368bo2b
3ob3o2bob2ob2o2bo2b3obo2bob4o2bo2bo3bob2o2bo2b2o$369b3ob2o2bobob2obo2b
2ob3ob2ob2obobo2b2ob2ob3obo2b2o2bo2bo$371bo2bobob3o2bob3ob2o2bo2b2ob2o
bob2ob2ob2ob2ob2ob6o$371b4obobo2b2ob2o2bo2bob2obo2bob3obo2bo2bo2bob2ob
o2bo$373bobo2b2ob2obo2b2ob3ob2ob3obo2b2ob2ob2ob2o2bob2obo$373bob3ob2o
2bob3ob2o2bo2b2o3b2obob2ob2ob2ob2ob2ob4o$374bobobo2b2ob2o2bo2b2ob2o2b
4ob2o2bo2bobo2b2obo2bo2bo$376bob3ob2o2bob3ob2ob4obo2bob2ob3ob2obo2b2ob
2ob3o$375b3obobo2b5o3bo2bo2bo2b2obob2obobob2ob3ob2ob2o2bo$377bo2bob2ob
o3b4ob2obob3ob2obo2bob2o2b2o2bo2bo2b2o2bo$377b4ob2obob3obob2ob4o2bo3b
2obo3b2o2b2ob2ob2ob4o$379bobo2b3o2bobobo2bo3bob5ob5ob2ob2ob2ob2obo2b3o
$379bob3o2bobobo2b3obob3obobo2bo2b2o2b2o2bo2bo2bobobo2bo$380bobob3obob
3obob4o2bo3b2obo3b2o2b2ob3ob2obob2obo$382bo3b4obobo2bo3bob5ob5ob3ob2ob
ob2ob4ob4o$381b5o3bobob3obob4o3bo2bo4bo3bo2bobo2bo3bo2bo$383bob5o2bobo
b4o3b2ob2obob3ob3ob2o2b2ob3ob2obobo3b2o$383bo2bobob3obobo3b3obob2obobo
b3ob2ob3ob3o2b2ob3obobo2bo$384b2o3bobobo2b2ob2ob2obo2bo2b2o3bo2bo2b2o
3bobo2bo2b5obo$391bob3ob3o3bob2ob3obob2ob2ob2o2b2obob2ob2obo3b5o$390b
3obobo3b3obob2obob2obob2ob2ob2obobob2ob2ob4o3bo$392bo2bob2ob2ob2o2bobo
bobobo2bo2bob2ob3o2bo2bobob3obobo$392b4ob3o3bob2obo2b2ob2ob2ob2o2bobo
2b2ob2obo2bo2b3obo$394bobo3b4ob2ob3obobob2ob2ob2obobob2ob2ob3ob2o2bobo
$394bob5obobo2bobobobobo2bo2bob2ob3o2bo2bobob2ob2ob4o$395bobobo3bob2ob
o2b2ob2ob2ob2o2bobo2b2ob3obobo2b2obo2bo$397bo2b4ob2ob3obobob2ob2ob2obo
b2ob2obobo2b2obo2b2ob3o$396b5obobo2b2o3b2obo2bo2b2ob2ob2obo2bob3ob2ob
2ob3o2bo$395bobo2bo2bob2o2b3obob2ob2obo2bobo2b2ob3obobo2b2obo3b2o2bo$
395bobo2b4ob2ob2ob2obob2ob2ob3ob2obob2o2bo2b2obo2b4ob4o$396bo5bobo2b2o
3bob2o2bo2b2o3b2ob2o2bob3ob2ob3o4bo2b3o$402bob3o2b4o3b2ob2o2b3o2bobob
3obobo2b2o2b4obobo2bo$403bobob3obob4ob2ob2ob2ob2ob2obo2bob2obo2b2ob2ob
ob2obo$405bo3bobo4bo2bob2o3b2obobobob3ob2ob3o4b3ob2o$404b6o2b4ob2obo2b
3o2bobob4o2bo2b2o2b4o2bobo$406bobob3ob2ob2ob4ob3ob2obo3bob2obo2b2ob2ob
2ob2o$406bo2bobo4bo2bobo2bo2b2o3b2ob3ob2ob3o4b2ob2obo2b2o$407b3o2b4ob
2obo2b2obo2b3ob3o2bo2b2o2b4o2bo2bo2bo2bo$409b4ob2ob2ob4ob5ob2o3b2ob2o
2bob2ob2ob2ob5obo$409bo2bo3bo2b2o2bo2bo2bo2bob3ob2ob4o4b2ob3o2bob4o$
411bob3ob2o2b2ob2o2b2ob2obo2bo2bobo2b4o2bo3b2o2bo2bo$412b2ob2ob3ob2ob
4ob2ob2ob2ob2obob2ob2ob2ob2ob3obob3o$413bobo2bo3bo2bo2bo2bobob2ob2ob3o
bo3b2ob3o2bob4o2bo$412b2ob3ob3ob2ob2ob2obobo2bo2bo2bob4o2bo3b2o2bo3b2o
2bo$411bob2obob2ob2ob2ob2ob2ob2ob2ob2obobobob4ob2ob4ob2ob4o$411bo2bobo
bo3bo2bo2bo2bobob2ob2ob3obo2bo2b2o3bo2b2o3bo2b3o$412b3o2bob3ob2ob2ob2o
bobo2bo2bo2bob3ob2o2b4obo2b3ob2o2bo$414b4ob2ob2ob2ob2ob2ob4ob2ob2o3b3o
b3obob5ob2ob2ob3o$414bo2b2o3bo2bo2bo2bob2o2b2ob3ob3o3bobo2bo2bo2bobo2b
ob2o2bo$416bo2b3ob3ob2ob2o2bobo2bo3b2ob5obob3obob2ob3obo2bobo$417b3ob
2obob2ob2ob2ob4ob2obo2bo3b4obob3ob2obob2ob6o$419bo2bobobo2bo2b2obo2b2o
bob3ob3o3bo2bo2bo2bobobob2o3bo$419b4obob2ob2obo2b2obo2b2obob2ob3ob4obo
b2ob3obo2b2obobo$421bobo2b2ob2ob2ob2ob3obobobo2bo2b2o2b4ob2o2bob2ob5ob
o$421bob3o2bo2bob2o2bobob2obob3ob2o2b2o3bo2bobobob2o4bobo$422bobob3ob
2o2bob2obobob3obob2ob2ob5ob2obob2o2b4ob4o$424bo3b3ob2ob2ob3obo2bobobo
2b2obo3b3ob3obob2ob2obo2bo$423b5o3bob2o2bo2bob4o2bob2o2bob3o3bo2bob2ob
o3bobob3o$425bob5o2bob2obob2o2b4ob2ob2ob2ob2ob2ob2obob4ob3obo$425bo2bo
bob3ob2obobo2bo2bobo2b2obo3b3ob2obob2obob2o2bobobo$426b2o3bobobo2bo2b
5obob3o2bob3o3bo2bobobobo2bobob3obo$433bob2ob4o2bob3obob2ob2ob5ob2ob2o
b4ob3o2bobo$432b3ob2obo2bo2bo2bobob2obo2bo3b3obobobo2b2o2bobob4o$431bo
bo2bo2bob5ob2obobo2b3ob3o3bobobobo2bob2obobo2bo$431bo2b2ob4obo2b2ob4ob
2obob2ob5ob2ob5ob2obob2ob3o$432b3ob2o2bobobo2bo3bob2obobo2bo3b2obobo2b
obo2b3ob3o2bo$434bo2bobob5ob2ob2o2bobob3ob3o2bobob2o2b2obo2bo3b2o2bo$
434b4obobo3b2ob3ob2ob3obob2ob4ob2ob4ob2ob2ob2ob4o$436bobo2b4o2bo3bob2o
2bobobo2bo2b2obobo2bo2b2ob4obo2b3o$436bob3obob4ob3o2bob2obob3ob2o2bobo
b2ob2o2bo4bob2o2bo$437bobobo2bo2b2o2b3ob2ob3obob2ob2ob2ob2ob2ob2ob2ob
2ob2ob3o$439bob3ob2o2b2o2b2o2bo2bobobo2b2obobo2bo2b2ob4obobob2o2bo$
438b3obob2ob2ob3o2b2ob2ob3ob2o2bobob2ob2o2bo4bobobo2b2o2bo$440bo2bo2bo
b2o2b3ob2ob2o2bob2ob2ob2ob2ob4ob4ob2ob2ob4o$440b4ob2o2bobo2b2o2bo2b2ob
o2b2obobo2bobo2b2o3b2obob2obo2b3o$442bob2ob2ob4o2b2ob2ob2ob2o2bobob2ob
2obo2b3o2bobo2bobobo2bo$442bo2bob2obo2b4ob2obo2b2ob2ob2ob2obob3ob2ob2o
b2ob2obob2obo$443b3o2bob2obo2bo2bob3o2bob2o3bo2b2o2b2o3b2obob2ob3ob2o$
445b4ob2ob2ob2ob2obob2obo2b3ob2obobo2b3o2bobo2bo2bobo$445bo2b2o2bob2ob
3o2bob2ob2ob2ob2ob2obob2ob4ob2ob4ob2o3b2o$447bo2b2obo2bo3b4o2bob2o3bo
2bob4o2bo2b2ob3o2b3obobo2bo$448b3ob2ob2ob2obo2b2obo2b3ob3obo3b2ob2o2bo
3b2o3b5obo$450bo2b2ob4o2bob2ob4ob3o3b2ob2ob2ob2ob3ob3obo3b5o$450b3o2bo
4b4o2bobo2bo3b3ob3o2bo2b2ob2obo2bob4o3bo$452b4ob4o2bob2obob2ob3ob2o3b
2ob2o2bo3b3obobob3obobo$452bo2b2o3bobob2ob3ob2o2bo2bob3ob2ob2ob3obob2o
bobo2b3obo$454bo2b3ob3o2bo2bo2bob2ob2obo2bo2bob2ob2obobob3ob2o2bobo$
455b3ob2o2bob2obob2ob2ob2ob2ob2ob2o2bo3b3obo2bob2obob4o$457bo2bob2ob2o
bob2obo2bo2bob2ob2ob2ob3o2bob4o2bobobo2bo$457b4ob2o2bobobo2b3ob2obo2bo
2bob2ob2ob2o3bob2ob3obob3o$459bobo2b2ob3ob2obob2ob2ob2ob2o2bo3b2ob3o2b
2obo2b4o2bo$459bob3ob2o2bob2obobo2bob2ob2ob2ob3o2b2ob3o2bobobo3b2o2bo$
460bobobo2b2obo2b3ob2obo2bo2bob3ob3o2bo2b4obob4ob4o$462bob3ob2ob2o2bob
2ob2ob2ob2o3bo2b3ob2o2bob4o4bo2b3o$461b3obobo2b2ob2obo2bob2ob2obob2ob
2o2b3ob2o2bo3b4obobo2bo$463bo2bob2o2bob2ob2obo2bo2b2obob2ob2o3bob4ob3o
b2obob2obo$463b4ob2ob2o2bob2ob2ob2obobobo2bob5obo2b2o2bo3b3ob2o$465bob
o2b2ob3obo2b2ob2ob2ob2ob2o2bobob2obo2b2ob3o2bobo$465bob3o2bobobob2o2bo
2bobobob2ob2o2bo2b5ob3ob4ob2o$466bobob3obob2ob4ob2ob2obo2bob6o3bobo3bo
2bob2obo$468bo3b4obobo2b3obobob2ob2o2bo2b3obob3ob2obobo2bo$467b5o3bob
2ob2o3b2ob2ob2obobo2bo2bobo3bob2obob6o$469bob5o3b2ob2obobobobo2b2o4b3o
2b4o2bo2bobo2bo$469bo2bobob3o2bobob2ob2ob4o7b4obob2ob3obo2bobo3b2o$
470b2o3b2ob4ob2obobob2o2bobo5bo2bo2bob2obob6obobo2bo$476bobo2b3o2b2obo
2bob2obo2b3o2b4obo2bobo2bo2b5obo$475b2ob3o3b2obob5obobo2bo6bobob2o2b2o
2bobo3b5o$474bob2obob2ob2ob2obo2bob6o6bob2ob3ob5ob3o3bo$474bo2bobob3o
2b2o2bob2o4bo9bobo2bobo2bo2b2ob3obobo$475b3o2bo3b2o2b4ob4obo11b2obob2o
2bobo2bo2b3obo$477b4ob3ob3o2bobo3b4o5bo2b2ob3ob5ob2ob2o2bobo$477bo2b2o
2bo3bobobob2obo2bo4bobo3bo2bo2bo2bob2ob2obob4o$479bo2b2ob4obob2obob2ob
3o3b6obob2o2b2o2bo2bobobo2bo$480b3ob2obob3obob3ob2o2bo3bo3b4ob4ob3ob2o
bob2ob3o$482bo2bobobo2b2o4bo2b2o2bobob2o3bo2bo2bobob2ob3ob3o2bo$482b4o
bob2obob3ob3ob4obobob3ob2o2b2obobo2bo2bo3b2o2bo$484bobo2b2ob2ob3obobo
2bob3ob2ob2ob4obo2b4ob2ob2ob4o$484bob3o2bobo4bo2b2o2bo2bobo2bo2bo2bob
4o2b3ob3obo2b3o$485bobob3ob4ob3ob4ob2ob3ob2ob2obobo2b2o3bo3bob2o2bo$
487bo3b3o3b2o3bo2b2ob2obob2ob2ob2o2bob2ob2ob2ob2ob2ob3o$486b5o3b3o2b3o
b2o2bo2bo2bo2bo2bob4o2b3ob3obobob2o2bo$488bob5ob4ob2ob2ob2ob3ob2ob2obo
bo2b2o3bo3bobobo2b2o2bo$488bo2bobo2bo2bo2bo2b2ob2obob2ob2ob2obob2ob4ob
3ob2ob2ob4o$489b2o3b3o2b2ob2obo2bo2bobo2bo2bob3obo4b2o2b2obob2obo2b3o$
496b4ob2ob2ob2ob3ob2ob3obo2bob3o2bobo2bobo2bobobo2bo$496bo2bo2bo2b3ob
2o2b2ob2o3b2ob2ob5obob2ob4obob2obo$498bob2ob2o3bo2b2o2bo2b3ob2obo4bob
3ob3o2b4ob2o$499b2ob2ob2ob3ob2ob4ob2o2bob4o2bo2bo3b2o3bobo$500bobo2b4o
3bob2o2bo2bob2ob2ob4ob2ob2ob2ob2ob2o$499b2ob3o4b4o2bobob2ob2obo3bo2b2o
b4o2b3ob2obo$498bob2obob2ob2obob2ob3ob2o2bob3ob2o2bo4b2o3bo2bo2bo$498b
o2bobob4o2bob2obo2bo2b2ob2ob2ob4ob4ob2ob2ob4o$499b3o2bo4b4o2bobob2ob2o
bo2bo2bo2b2o3bob3ob3o2b3o$501b4ob4o2bob2obob2obo2b3ob2obo2bob2obo3bo3b
2o2bo$501bo2b2o3bob2ob2obo2bob3obob2ob4ob3ob5ob2ob2ob3o$503bo2b3ob2obo
2b3ob2obobo2bo2bo2b2o3b2o3b4obob2o2bo$504b3ob2o2bob2o2b3o2bob3ob2ob2o
2b2obo2b2o4bobo2b2o2bo$506bo2bob2ob2obo3b4obob2ob2ob2obob5ob2ob2ob2ob
4o$506b4ob2o2bobob3o2bobo2bobo2b2ob2obo3b4obob2obo2b3o$508bobo2b2ob3o
2bobob3ob2ob2o2bobo2b3o4bobo2bob2o2bo$508bob3ob2o2bobob3o2b2obob2ob2ob
4ob6ob2ob2ob2ob3o$509bobobo2b2ob3o2bobo2bobo2b2ob2o2bobo4b2ob3o2bob2o
2bo$511bob3ob2o2bob2obob2ob3o2bo2bob2ob4o2bo3b2obo2b2o2bo$510b3obobo2b
3ob2obob2o3b4ob3obob2ob4ob2ob2ob2ob4o$512bo2bob2obobo2b3o2b3o2bob2o2bo
bo3bo2b4o2bob2obo2b3o$512b4ob2obob2obo2b3ob2obo2bob2ob5obo4b3o2bob2obo
2bo$514bobo2b3ob2ob2obo2bob4ob2ob2o3b4ob2obob3ob2ob2obo$514bob3o2bo2bo
b2obob2obo2b2o2bo2bobo3b4o2bobobo2b2ob4o$515bobob3ob2o2bobob2ob3o2b3ob
5obo4b3obob2obo2bo2bo$517bo3b3ob2ob3o2bobob2obob2o3b4ob2obob3ob2ob2obo
b3o$516b5o3bob2o2bob2obob2obo2bob2o3b4obobo2bo2b2ob4o2bo$518bob5o2bob
2ob2obobo2bob2obob3o4bo2b2ob2obo2bo3b2o2bo$518bo2bobob3ob2o2bobob5ob2o
b2ob4ob4ob2ob2ob2ob2ob4o$519b2o3bobobo2b2ob3obo2bo2bobo2bo3b2o2bo2bobo
b2ob3obo2b3o$526bob3ob2o2bobob2ob2ob3ob3o2b2ob2obobo2bo3bob2o2bo$525b
3obobo2b2ob3ob2ob2obob2ob4ob2ob2ob2ob3ob2ob2ob3o$527bo2bob2ob2o2bo2bo
2bobobo2bo2bo2bobobob3o2b2o2bob2o2bo$527b4ob2o2bob2ob2ob2obob4o2b4ob2o
bo3b2o2b2obo2b2o2bo$529bobo2b3ob2ob2ob2o2bobo6bobobob5ob2ob2ob2ob4o$
529bob3obobo2bo2bo2b3obo6bob2ob2o3bob2o2bob2obo2b3o$530bobobo2b2ob2ob
3obob4o2b4obobo2b2obo2b2obo2bobobo2bo$532bob3ob3ob2o3bobo2bo2bo2bob2ob
4ob4ob2ob2obob2obo$531b3obobo3bo2b5obob4ob2o3b2o3b2o2bobob2ob3ob2o$
533bo2bob2ob4obo2b4o2b3ob3o2b3o2b2obobo2bo2bobo$533b4ob4o2bo2bobo3b2o
3b2ob4ob4ob2ob4ob2ob2o$535bobo4b2ob4ob3ob3obo2bo2bobo2bobob2o2b2ob3obo
$535bob5ob2obo2b2ob2o2bob3ob2obob2ob2o2bobo2bo3bo2bo$536bobob2o2bo2b2o
2bo2b2obobob2ob2ob2obob2ob3ob3ob4o$538bo3b2ob3ob2ob3ob2obobo2bobo2bobo
b2o2b3o2b2o2b3o$537b6ob2o2bob2obo2bob3ob2obob2ob2o2bobo3b2o2b2o2bo$
539bobo2bo2b2o2bobob2obo2b2ob2ob2obob2ob3ob2ob2ob2ob3o$539bo2b2ob3ob3o
bob2ob3o2bo3bo2b2ob2o2b3o2b2o2b3o2bo$540b3ob2o2bobob3o2bobob2ob3ob2obo
2bobo3b2o2b2o3b2o2bo$542bo2bob2obobo2b3obob2ob2ob2ob2ob2obob3ob3ob3ob
4o$542b4ob2o2bob2obob3o2bo3bo2bob2ob3o2bo3bo5bo2b3o$544bobo2b3ob2obobo
2b2ob3ob3obo2bo2b2ob3ob5ob2o2bo$544bob3obobo2b3ob3ob2ob3o3b2ob4ob2ob2o
b2ob2ob2ob3o$545bobobo2b2obo2b2o2bo2bo3b3ob3o2bo2bo2bo4bo2bob2o2bo$
547bob3ob2ob2o2bob2ob2ob2ob2o3bob2ob2ob5ob2obo2b2o2bo$546b3obobo2b2ob
4ob2ob3o3bob4ob2ob2obob2ob2ob3ob4o$548bo2bob2o2bobo2bo2bo3b4obo2bo2bo
2bobo3bo2b2o3bo2b3o$548b4ob2ob2obob2ob2ob3obob2ob2ob2ob2o2b3ob2o2b3ob
2o2bo$550bobo2b2ob3ob2ob2o2bobo2b3ob2ob2ob3ob2ob4ob2ob2ob3o$550bob3o2b
o2bo2bo2bobob4o3bo2bo2bobo2bo2bo2bobo2bob2o2bo$551bobob3obob3ob2obobo
2b2ob2ob2ob2obob2ob2ob2ob2ob2o2bobo$553bo3b4obob2ob3obo2b3ob2ob2ob3ob
2ob2ob2ob2obob3o$552b5o3bobobo2bo2b4o3bo2bo2bo2bo2bobo2bo2bo2b2obo$
554bob5o2bob2obobo2b2ob2ob2ob2obob3ob3ob2ob2obobobo$554bo2bobob3ob2obo
b2o2b3ob2ob2ob3obobobob2ob2obob3obo$555b2o3bobobo2b3ob3o3bo2bo2bo2bobo
3bo2bobo2b2o2bobo$562bob2obo2bo2b3ob4ob2ob2obobobob2ob3obobob4o$561b3o
b2obob2obo2b2o2b2ob3ob3ob4obobob2obobo2bo$563bo2bobob2ob2obo2bo2bo3bo
2bobo3bobo2bob3obob3o$563b4obobo2b2ob5ob5ob2ob5ob4obo2b3obo$565bobo2b
3o2bobo2b3o3b3ob2o3b3o2b2ob2o2bobobo3b2o$565bob3obob2obo2bo3bobo3bo2bo
bo3bo2bob2obob3obobo2bo$566bobobo2b2ob7o3b4ob5ob5o2bobobo2b5obo$568bob
3o2bobo2bob5obob2o3b3o2bob2ob3obobo3b5o$567b3obob3obobo2bo3bobo2bob2o
3bobob2obo2b3ob3o3bo$569bo2bobob6obob2obob2obob2obobobo2b2obo2b2ob3obo
bo$569b4obobo3bob4ob3ob2obobobobob3ob2obobo2bo2b3obo$571bobo2b4o2bo3bo
2bo2bob3obobo3b2o2b3ob2ob2o2bobo$571bob3obob3ob3ob3ob2o5bo2b3o2b2o2bob
2ob2obob4o$572bobobo3bob2ob2obob2ob9ob4ob3o2bo2bobobo2bo$574bob4o2bo2b
o2bo2bo6bo2bo2bo2bobob3ob2obob2ob3o$573b3obob3ob2ob4ob6obo2b2obob2o2bo
bob2ob3ob3o2bo$575bo2bo2b2ob3o2b3o5b5ob4ob3obobo2bo2bo3b2o2bo$575b4obo
2bo3b2o3b4obo2bo2bo3b2o3bob2ob4ob2ob4o$577bob5ob3ob2ob2obob2o2b2ob3o2b
5ob3o2b4obo2b3o$577bo2bo2b2o2bob3o3b2ob4ob2ob4obo2bo3b2o4bobobo2bo$
578b2o2bo2b2obo3b3obobo2bobo2bo2bo2bob2ob2ob2ob2obob2obo$583b3ob2ob3ob
2ob2ob2ob4o2b5ob3o2b4ob3ob2o$585bo2b2o2bo2bobob2obobo6bo2bo3b2o4bo2bob
o$585b3o2b2ob2obobo2b2obo6bob2ob3ob4ob3ob2o$587b4ob2ob2ob2obob4o2b4ob
2o2bob2ob2obob2obo$587bo2bo2bo2b3ob2obo2bo2bo2bo2bobobo4bobobo2bo$589b
ob2ob2o3bo3b2ob4ob2ob2obob5obo2b3o$590b2ob2ob2ob5ob2o2b3ob2ob3obob2ob
4o$591bobo2b4o3bo2bobo3bo2bo2bobo3b2o2bo$590b2ob3o4b3ob2ob3ob2ob2ob2o
2b3o2bo$589bob2obob2ob2ob2ob2o2b3ob2ob2ob3ob3o$589bo2bobob4o3bo2bobo3b
o2bo2bobo2bo$590b3o2bo4b4ob2obob3ob2ob2obob2o$592b4ob4obob2ob3o2b3ob2o
b3ob3o$592bo2b2o3bobobo2bo2b2o3bo2bo2bobo2bo$594bo2b3ob3ob2ob2ob3ob4ob
2ob2obo$595b3ob2o2bob2ob2obo2b2o2b3obob2o$597bo2bob2o2bobo2b2obo2bo3b
2obo$597b4ob2ob2ob2ob2ob7o3b2o$599bobo2b2obob2o2bobo2bob5obo$599bob3o
2bobo2b3obo2bo2bobo2bo$600bobob3ob3obobo4b2o3b2o$602bo3b3o3bo$601b5o3b
5o$603bob5obo$603bo2bobo2bo$604b2o3b2o!
Edit: Smaller at 2,934 cells:

Code: Select all

x = 45, y = 145, rule = B34/S24
14b2o13b2o$14bo15bo$12b3obo11bob3o$13bob2o11b2obo$11bobo2b3o7b3o2bobo$
10bob4o2bo7bo2b4obo$10bobo2b2ob3o3b3ob2o2bobo$11b2o2bob2o2bobo2b2obo2b
2o$12b4o2bob5obo2b4o$10bobo2b3ob2o3b2ob3o2bobo$9bob2obo2b2o2bobo2b2o2b
ob2obo$9bobob4o2b2o3b2o2b4obobo$7b4obo2bob2ob5ob2obo2bob4o$7bo2bob3o2b
2obo3bob2o2b3obo2bo$b2o2b3ob2o3b3o2bob3obo2b3o3b2ob3o2b2o$o2bo2bob2ob
3o2b3ob2ob2ob3o2b3ob2obo2bo2bo$ob4o2bo2b2ob2o2b2o2bo2b2o2b2ob2o2bo2b4o
bo$b2o2b3ob2o3b2obo2b2ob2o2bob2o3b2ob3o2b2o$2bobo2b3ob3o2b4ob3ob4o2b3o
b3o2bobo$b2obobo3b2ob3o2bobo3bobo2b3ob2o3bobob2o$b2obobob2o2bo2b3o2b2o
b2o2b3o2bo2b2obobob2o$2bobobobob2ob2o2b3ob3ob3o2b2ob2obobobobo$b2obobo
b2ob3ob2o2b2o3b2o2b2ob3ob2obobob2o$b2obobo3bo3b2ob2o2b3o2b2ob2o3bo3bob
ob2o$2bobo2b3ob3o2b2ob3ob3ob2o2b3ob3o2bobo$b2o2b3ob3ob3o2b2o2bo2b2o2b
3ob3ob3o2b2o$ob4o2bo3bo2b3o2b2ob2o2b3o2bo3bo2b4obo$o2bo2bob4ob2o2b3ob
3ob3o2b2ob4obo2bo2bo$b2o2b3obob3ob2o2b2o3b2o2b2ob3obob3o2b2o$7bo2bo3bo
b3o2b3o2b3obo3bo2bo$7b4ob2obo2b4ob4o2bob2ob4o$5b3o2b4ob2obo2bobo2bob2o
b4o2b3o$4bo2bobo4b2ob2ob2ob2ob2ob2o4bobo2bo$4bob2obob2obo2bob2obob2obo
2bob2obob2obo$5b2ob6ob2obo2bobo2bob2ob6ob2o$6bobo5b2ob2ob2ob2ob2ob2o5b
obo$5b2ob5obo2bob2obob2obo2bob5ob2o$4bob2obob3ob2obo2bobo2bob2ob3obob
2obo$4bo2bobo4b2ob2ob2ob2ob2ob2o4bobo2bo$5b3o2b3obo2bob2obob2obo2bob3o
2b3o$7b4obob3obo2bobo2bob3obob4o$7bo2bob2obob2ob2ob2ob2obob2obo2bo$b2o
2b3obob2o2bobob2obob2obobo2b2obob3o2b2o$o2bo2bob3o2b4obo2bobo2bob4o2b
3obo2bo2bo$ob4o2bo2b3o2bob4ob4obo2b3o2bo2b4obo$b2o2b3ob3o2b2ob2o2b3o2b
2ob2o2b3ob3o2b2o$2bobo2b3o2b2ob2o2b2o3b2o2b2ob2o2b3o2bobo$b2obobo3b3ob
o2b3ob3ob3o2bob3o3bobob2o$b2obobob3o2bob3o2b2ob2o2b3obo2b3obobob2o$2bo
bobobo2b2ob2o2b2o2bo2b2o2b2ob2o2bobobobo$b2obobob3ob2o2b3ob2ob2ob3o2b
2ob3obobob2o$b2obobo3b2o2b3o2bob3obo2b3o2b2o3bobob2o$2bobo2b3o2b3o2b2o
bo3bob2o2b3o2b3o2bobo$b2o2b3ob4o2b2ob2ob3ob2ob2o2b4ob3o2b2o$ob4o2bo2bo
2b2obo2b2ob2o2bob2o2bo2bo2b4obo$o2bo2bob2o2b3o2b2obo3bob2o2b3o2b2obo2b
o2bo$b2o2b3ob4o2b2ob2ob3ob2ob2o2b4ob3o2b2o$7bo2bo2b2ob2o2b2ob2o2b2ob2o
2bo2bo$7b2obob2obo2b2o2bo2b2o2bob2obob2o$5b3ob3obob3ob3ob3ob3obob3ob3o
$4bo2bobo2b2o3b2o2b3o2b2o3b2o2bobo2bo$4bob2ob2obob3o2b2o3b2o2b3obob2ob
2obo$5b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$6bobo2bobo3b2o2b3o2b2o3bobo
2bobo$5b2ob3obob3o2b2o3b2o2b3obob3ob2o$4bob2obob2ob2ob2ob2ob2ob2ob2ob
2obob2obo$4bo2bobo2b2o3b2o2b3o2b2o3b2o2bobo2bo$5b3o2b2o2b3o2b2o3b2o2b
3o2b2o2b3o$7b4ob3ob3ob5ob3ob3ob4o$7bo2bo3bobo3bo3bo3bobo3bo2bo$9bob3ob
ob3obobob3obob3obo$10b2ob2ob2ob2o3b2ob2ob2ob2o$11bo2bobo2bo5bo2bobo2bo
$10b2ob2ob2ob2o3b2ob2ob2ob2o$9bob3obob3obobob3obob3obo$7bo2bo3bobo3bo
3bo3bobo3bo2bo$7b4ob3ob3ob5ob3ob3ob4o$5b3o2b2o2b3o2b2o3b2o2b3o2b2o2b3o
$4bo2bobo2b2o3b2o2b3o2b2o3b2o2bobo2bo$4bob2obob2ob2ob2ob2ob2ob2ob2ob2o
bob2obo$5b2ob3obob3o2b2o3b2o2b3obob3ob2o$6bobo2bobo3b2o2b3o2b2o3bobo2b
obo$5b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$4bob2ob2obob3o2b2o3b2o2b3obo
b2ob2obo$4bo2bobo2b2o3b2o2b3o2b2o3b2o2bobo2bo$5b3ob3obob3ob3ob3ob3obob
3ob3o$7b2obob2obo2b2o2bo2b2o2bob2obob2o$7bo2bo2b2ob2o2b2ob2o2b2ob2o2bo
2bo$b2o2b3ob4o2b2ob2ob3ob2ob2o2b4ob3o2b2o$o2bo2bob2o2b3o2b2obo3bob2o2b
3o2b2obo2bo2bo$ob4o2bo2bo2b2obo2b2ob2o2bob2o2bo2bo2b4obo$b2o2b3ob4o2b
2ob2ob3ob2ob2o2b4ob3o2b2o$2bobo2b3o2b3o2b2obo3bob2o2b3o2b3o2bobo$b2obo
bo3b2o2b3o2bob3obo2b3o2b2o3bobob2o$b2obobob3ob2o2b3ob2ob2ob3o2b2ob3obo
bob2o$2bobobobo2b2ob2o2b2o2bo2b2o2b2ob2o2bobobobo$b2obobob3o2bob3o2b2o
b2o2b3obo2b3obobob2o$b2obobo3b3obo2b3ob3ob3o2bob3o3bobob2o$2bobo2b3o2b
2ob2o2b2o3b2o2b2ob2o2b3o2bobo$b2o2b3ob3o2b2ob2o2b3o2b2ob2o2b3ob3o2b2o$
ob4o2bo2b3o2bob4ob4obo2b3o2bo2b4obo$o2bo2bob3o2b4obo2bobo2bob4o2b3obo
2bo2bo$b2o2b3obob2o2bobob2obob2obobo2b2obob3o2b2o$7bo2bob2obob2ob2ob2o
b2obob2obo2bo$7b4obob3obo2bobo2bob3obob4o$5b3o2b3obo2bob2obob2obo2bob
3o2b3o$4bo2bobo4b2ob2ob2ob2ob2ob2o4bobo2bo$4bob2obob3ob2obo2bobo2bob2o
b3obob2obo$5b2ob5obo2bob2obob2obo2bob5ob2o$6bobo5b2ob2ob2ob2ob2ob2o5bo
bo$5b2ob6ob2obo2bobo2bob2ob6ob2o$4bob2obob2obo2bob2obob2obo2bob2obob2o
bo$4bo2bobo4b2ob2ob2ob2ob2ob2o4bobo2bo$5b3o2b4ob2obo2bobo2bob2ob4o2b3o
$7b4ob2obo2b4ob4o2bob2ob4o$7bo2bo3bob3o2b3o2b3obo3bo2bo$b2o2b3obob3ob
2o2b2o3b2o2b2ob3obob3o2b2o$o2bo2bob4ob2o2b3ob3ob3o2b2ob4obo2bo2bo$ob4o
2bo3bo2b3o2b2ob2o2b3o2bo3bo2b4obo$b2o2b3ob3ob3o2b2o2bo2b2o2b3ob3ob3o2b
2o$2bobo2b3ob3o2b2ob3ob3ob2o2b3ob3o2bobo$b2obobo3bo3b2ob2o2b3o2b2ob2o
3bo3bobob2o$b2obobob2ob3ob2o2b2o3b2o2b2ob3ob2obobob2o$2bobobobob2ob2o
2b3ob3ob3o2b2ob2obobobobo$b2obobob2o2bo2b3o2b2ob2o2b3o2bo2b2obobob2o$b
2obobo3b2ob3o2bobo3bobo2b3ob2o3bobob2o$2bobo2b3ob3o2b4ob3ob4o2b3ob3o2b
obo$b2o2b3ob2o3b2obo2b2ob2o2bob2o3b2ob3o2b2o$ob4o2bo2b2ob2o2b2o2bo2b2o
2b2ob2o2bo2b4obo$o2bo2bob2ob3o2b3ob2ob2ob3o2b3ob2obo2bo2bo$b2o2b3ob2o
3b3o2bob3obo2b3o3b2ob3o2b2o$7bo2bob3o2b2obo3bob2o2b3obo2bo$7b4obo2bob
2ob5ob2obo2bob4o$9bobob4o2b2o3b2o2b4obobo$9bob2obo2b2o2bobo2b2o2bob2ob
o$10bobo2b3ob2o3b2ob3o2bobo$12b4o2bob5obo2b4o$11b2o2bob2o2bobo2b2obo2b
2o$10bobo2b2ob3o3b3ob2o2bobo$10bob4o2bo7bo2b4obo$11bobo2b3o7b3o2bobo$
13bob2o11b2obo$12b3obo11bob3o$14bo15bo$14b2o13b2o!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

User avatar
bibunsekibun
Posts: 188
Joined: April 17th, 2021, 7:58 pm
Location: TRAPPIST-1e

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by bibunsekibun » August 19th, 2021, 6:08 pm

P240 2-Barreld Gun

Code: Select all

x = 3, y = 4, rule = B34eiz5ky6n/S2-i3-acky4iqz5e
o$2o$b2o$2o!
I'm sleepy
I'm not good at English, so please let me know if you have any grammatical mistakes
My Favorite Pattern is 60P312

User avatar
Moosey
Posts: 4223
Joined: January 27th, 2019, 5:54 pm
Location: here
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Moosey » August 19th, 2021, 6:32 pm

Basically wolfram rules being emulated by nt rules on a width 3 cylinder, though I don't know which wolfram rules they are

Code: Select all

x = 5, y = 2, rule = B2aci4t/S02i3r6i:T0,3
o3bo$o!

Code: Select all

x = 1, y = 3, rule = B2aci4t/S02i3r4c6i:T0,3
o2$o!

Code: Select all

x = 1, y = 3, rule = B2aci4t5y/S02i3r6i:T0,3
o2$o!

Code: Select all

x = 1, y = 3, rule = B2aci4t5y/S02i3ry6i:T0,3
o2$o!
well, I don't know which wolfram rules they are except this one: coolest rule 18 emulation ever on a width 3 cylinder; velocity 12c/57

Code: Select all

x = 1, y = 3, rule = B2aci4t5y/S02i3ary6i:T0,3
o2$o!
unknown

Code: Select all

x = 1, y = 2, rule = B2aci4t5y/S02i3ary6ci:T0,3
o$o!
My CA rules can be found here

Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"
Gnodu belu+nna j'e derau?

I'm mostly active on the discord now

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May13
Posts: 175
Joined: March 11th, 2021, 8:33 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by May13 » August 20th, 2021, 6:08 am

My phone was able to find some (2,1)c/5 wickstretchers and spaceships in 2 transitions from Inferno's rule, one of which is amazingly small:

Code: Select all

x = 123, y = 64, rule = B2e3-cj4ci5a6i7e8/S2-a34ajkw5ce7
4$19bo$18bobob2o$19bob3o$17bo4bobo$17bob5o$19bo2b2o$21bobo$21b2o31bo$
22b2o29bobob2o$20bobo7b2o22bob3o$20bo4b2o2b3ob2o17bo4bobo39bo$24b2obob
o4bo17bob5o39bob2o$25bo2b3obo21bo2b2o38bobo2bo$25bo3b3o2bo21bobo39bob
2o$28b2o2bo3bo19b2o43bobo$33b2o22b2o40bo3bo$33bobo19bobo7b2o36bo$34bo
20bo4b2o2b3ob2o34bo4b3obo$12bo21bo24b2obobo4bo35b4o2b2obo$11bobob2o18b
o24bo2b3obo39bob2o3bo$12bob3o18bo24bo3b3o2bo38bo3bo$10bo4bobo18bo26b2o
2b3o37b2o3b3o$10bob5o19bo30bo3bo35bo$12bo2b2o20bo29bo3bo41bo$14bobo20b
o30b2obo$14b2o22bo33bobo$15b2o21bo34b2o$13bobo7b2o14bo$13bo4b2o2b3ob2o
11bo32bobo$17b2obobo4bo12bo31bo2bo$18bo2b3obo14bo32b3o$18bo3b3o2bo13bo
32bob3o$21b2o2bo3bo11bo30b2o4b3o$26b2o14bo34bobo$26bobo13bo34b3o$27b2o
14bo34bo$27bob4o10bo33b3o$28bobo13bo37b2obo$28bo3b2o10bo35b2o2bob2o$
29b4o12bo40bob2o$29bo3b2o10bo35bo2b3o$30b2ob2o11bo37bo3bobo$30bobo13bo
37bo$31b2o14bo36b2o3bo$31bo15bo$32bo15bo$32bo15bo$33bo15bo$33bo15bo$
34bo15bo$34bo14b2o$35bo11b2o$35bo9b2o$36bo6b2o$36bo4b2o$37bob2o$37b2o!
[[ TRACK -1/5 -2/5 ZOOM 5 ]]
I just added B3a/S4w to allow c/3 diagonal (although S4w is not necessary in this case, probably because rule contains B2e)
Unfortunately, this rule is explosive.
Edit: c/3 and c/4 diagonal spaceships:

Code: Select all

x = 35, y = 17, rule = B2e3-cj4ci5a6i7e8/S2-a34ajkw5ce7
11bo$10bo16b2o$9bo3b2o12bobo$10bobob3o9bo$5b2o3bob2o11bobo3bo$4b6obobo
10b3obob2o$4b4o4bobo13b3o2b2o$5b2obo2b2o16bo2bo$5bobo$2bo2bo3bo19b2o$b
ob2o24bo$o4bobo$3b2ob2o$2bob2o$2b2o2bo$3bo$3bo!
Edit: c/2 and c/3 orthogonal:

Code: Select all

x = 25, y = 16, rule = B2e3-cj4ci5a6i7e8/S2-a34ajkw5ce7
3$3bo3bo3bo7bo$2bobobobobobo5bob2o$2bobob3obobo5bobo$6bobo$3bob2ob2obo
6bobo$3b2obo11bo2bo$6bo14b2o$6b2o10b3o$19bobo!
c/4 orthogonal wickstretcher:

Code: Select all

x = 17, y = 110, rule = B2e3-cj4ci5a6i7e8/S2-a34ajkw5ce7
5bo5bo$2bob2o5b2obo$2obo4bo4bob2o$o2bobobobobobo2bo$3bobo5bobo$o2b2obo
bobob2o2bo$2o13b2o$5bobobobo$5bo5bo2$5bobobobo$b15o$bob2obo3bob2obo$5b
o5bo$2bobo7bobo2$5bo5bo$5bob3obo$6b5o$3bo2bobobo2bo$b6o3b6o$6bo3bo$4b
2o5b2o$3b2ob2ob2ob2o$3bo2b2ob2o2bo$8bo$3bo2b2ob2o2bo$3bobo5bobo$3bobo
2bo2bobo$3bob2o3b2obo$5bobobobo$7bobo$5bob3obo$6bobobo$8bo$8bo$7b3o$7b
obo$7bobo2$8bo$7bobo$7b3o$8bo$8bo$6b2ob2o$7bobo$7bobo2$7bobo$6b5o$8bo$
8bo$7b3o$7bobo$7bobo2$8bo$7bobo$7b3o$8bo$8bo$6b2ob2o$7bobo$7bobo2$7bob
o$6b5o$8bo$8bo$7b3o$7bobo$7bobo2$8bo$7bobo$7b3o$8bo$8bo$6b2ob2o$7bobo$
7bobo2$7bobo$6b5o$8bo$8bo$7b3o$7bobo$7bobo2$8bo$7bobo$7b3o$8bo$8bo$6b
2ob2o$7bobo$7bobo2$7bobo$6b5o$8bo$8bo$7b3o$7bobo$7bobo2$8bo$7bobo!
[[ THEME 0 LOOP 4 TRACK 0 -1/4 ]]
Unfortunately, period of this wick is 17.
Edit 3: 3rd knightship:

Code: Select all

x = 29, y = 30, rule = B2e3-cj4ci5a6i7e8/S2-a34ajkw5ce7
2bo$bobob2o$2bob3o$o4bobo$ob5o$2bo2b2o$4bobo$4b2o$5b2o$3bobo7b2o$3bo4b
2o2b3ob2o$7b2obobo4bo$8bo2b3obo$8bo3b3o2bo$11b2o2b3o$15bo3bo$15bo3bo$
16b2obo$20bobo$21b2o2$20bobo$20bo2bo$21b3o$22bob3o$20b2o4b3o$25bobo$
25b3o$26bo$25b3o!
[[ TRACK -1/5 -2/5 ]]
I'm back.
My rule in OCA: B3acijy4-a5cjkr6-in78/S2n3-c4-aijz5-jy6-k
Help is needed: synthesize 4 15-bit still lifes with 11 or fewer gliders in Conway's Game of Life.

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bibunsekibun
Posts: 188
Joined: April 17th, 2021, 7:58 pm
Location: TRAPPIST-1e

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by bibunsekibun » August 20th, 2021, 10:58 pm

P96

Code: Select all

x = 9, y = 19, rule = B34eiz5cky6n8/S2-i3-acky4iqz5e
b3o$bo2bo$2ob2o$o12$8bo$4b2ob2o$4bo2bo$5b3o!
I'm sleepy
I'm not good at English, so please let me know if you have any grammatical mistakes
My Favorite Pattern is 60P312

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May13
Posts: 175
Joined: March 11th, 2021, 8:33 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by May13 » August 21st, 2021, 12:02 am

(2,1)c/5 spaceship and small knightlinestretcher in non-explosive rule:

Code: Select all

x = 117, y = 64, rule = B2e3-cjky4ci5a6i/S2-a34ajkw5ce
3$7b4o$7bob2obo2bo$6bo2bob2obobo$6b3o3bob2obo$8bo6bo3bob2o$15bob2obobo
$12b2o2bo3b2obo$18b2o3bo51b4o$17bobo55bob2obo2b2obo$15b2o2b3o52bo2bob
2obo2b3o$21bo52b3o3bobo2b2o2b2o$16b4obo2bo51bo5bob4obo$23bobo57bo2b2o$
19bobobobob2o53b2o2bo$19bobo2b2obo53bo2bobo$21b2o2b2obo52b2o2bobo$21b
2obo3b2obo49bo3bobo$21bo5bo3b3o54bo$22bo3bob3o2bo51bob2o$25b2obo2b2obo
48b2o4bo$26bo6b2o54bo$25bobo5bobo54bo$24b3o5bob3o53bo$26bobo2b2o2bo55b
o$29b3o5bo53bo$32bo59bo$31bobo2b2obo52bo$35b2o56bo$32bo4bo55bo4b2o$32b
4o58b2obo$35bobo2b2o52bo$35b3ob3o53bobo3bo$37b2obo2bo51bobo2b2o$38bo3b
2o2b2o48bobo2bo$45bobo48bo2b2o$43b3obo47b2o2bo$46bo46bob4obo5bo$48b3o
41b2o2b2o2bobo3b3o$48b4obo41b3o2bob2obo2bo$52bob2o40bob2o2bob2obo$48b
2o2b2ob2o47b4o$49b2o4bo$56b2o$57bo$57b2o$56bo2bo$56bob2o$54b2o3bo$54bo
2b2o$54bobobo$53b2o2b2ob4o$53bo4b2o$58b3obo$57b2o$58bo!
[[ TRACK -1/5 -2/5 ]]
They required 2 hours of searching on phone (rlifesrc), so it's very fast for such spaceships
I'm back.
My rule in OCA: B3acijy4-a5cjkr6-in78/S2n3-c4-aijz5-jy6-k
Help is needed: synthesize 4 15-bit still lifes with 11 or fewer gliders in Conway's Game of Life.

MathAndCode
Posts: 4913
Joined: August 31st, 2020, 5:58 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by MathAndCode » August 22nd, 2021, 12:35 am

Here are two small predecessors for a c/15 diagonal spaceship in a rule that is three transitions away from Conway's Game of Life:

Code: Select all

x = 24, y = 5, rule = B2e3/S23-ir
2bo18b2o$b2o20bo$2o20bo$22bo$20bo!
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

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muzik
Posts: 4267
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by muzik » August 22nd, 2021, 10:52 am

Fun discovery: HPP has the ability to partition the plane into different "density regions" depending on a drawn curve. Any mathematical significance? Originally I thought that cells closer to white required n straight line movements to get to from a state 0 region, however this is a counterexample:

Code: Select all

x = 45, y = 39, rule = HPP
4.pI$3.2pI$2.2pI$2.pI$2.pI$.pI$.pI$pI$pI$pI$pI$pI$pI$pI$pI$pI$.pI$.pI
$.pI$.pI$.pI$.pI$.pI$.pI$.pI$2.pI$2.pI$2.pI$2.pI$2.2pI32.6pI$3.pI38.pI
$3.2pI38.pI$4.2pI38.pI$5.2pI36.pI$6.3pI34.pI$8.4pI31.pI$11.7pI24.2pI$
18.17pI5.3pI$35.6pI!

ColorfulGabrielsp138
Posts: 288
Joined: March 29th, 2021, 5:45 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by ColorfulGabrielsp138 » August 23rd, 2021, 2:36 am

bibunsekibun wrote:
August 20th, 2021, 10:58 pm
P96

Code: Select all

x = 9, y = 19, rule = B34eiz5cky6n8/S2-i3-acky4iqz5e
b3o$bo2bo$2ob2o$o12$8bo$4b2ob2o$4bo2bo$5b3o!
Remove the top half and it would become a pure glider generator. Not interesting, though.

Code: Select all

x = 21, y = 21, rule = LifeColorful
11.E$10.3E$10.E.2E$13.E4$2.2B$.2B$2B$.2B15.2D$19.2D$18.2D$17.2D4$7.C$
7.2C.C$8.3C$9.C!
I have reduced the glider cost of quadratic growth to eight and probably to seven. Looking for conduits...

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