Observation on chaotic growth

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Rhombic
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Observation on chaotic growth

Post by Rhombic » June 20th, 2017, 10:47 am

When apgsearching many rules, especially those with D2_+1-like conditions (5y, 6i, 6c, 2c, etc), you sometimes get stuck on patterns that kind of glob around and grow infinitely in one dimension, with a D2_+1 symmetry, that pretty much halts the haul.
However annoying these are, what is the reason and what are the dynamics behind them? They tend to grow wit weird speeds, always orthogonally.
Bear in mind the rules tend not to be explosive, but certain soups end up being one-dimensionally explosive.

This is just one example, but I'm sure many of you have come across these before:

Code: Select all

x = 358, y = 107, rule = B2cek3q/S02467
39$214bo4$79bo$272bo20bo$33bo201bo8bo$195bo47bo$208b3o19bo108bo$31bo
33bo47bobo113bo39bo$32bo30b2ob3o6b2o35b2obo91bob2o4bo78bo62bo$25bo38bo
2bob3o4b2o7bo25b2o2bo32bo3bo49bo7b2o26bo9bo44bo63bo$4bo58bo2bo3bo4bo4b
o10bo52b2o2bo2bo58bo38bo26b2o38bo4bo3bo$2bo2b2o58bobo4bo4b2o12bobo16b
2o2bo2bo3bo44bo61b2o48bo23bo13b2o4bo16bo$2bo3b2o13bo42b3o3b2o7b2o18b5o
7bo11b3o15b2o6b3o13bobo32b2o16bo5bo6bo7bo28bob2o4b3o21b2o2bob2o2b2o$bo
bo28bo15b3o9b3o3b3o2bo10bo7bo2bob2o5bobobo10b2obo9b5o2b2obo6b2o2bo2bo
10bobo9bo16bo3b3o2bo19bob2o3bo9bo19bo7bo8bo4bo7bobo6b2obo4bo3bo27bo$bo
bobo9bob2o12bobo11bo4bo9bo2bobobo2bo6bob3o3bo5bobobobob3o11bo2b2obo7bo
5bo2b5o13bo7bo2bo3bo3b2o3bo3bo13bo3b2o13b3o3bo3b3o18bo14bo4bob2o5bobo
5bo6bo2b2obo2bo5b2o4b3ob2o4bo5bobo9b2o6bo$bo8b4o8b3o6bobo2bo11b3o6bo2b
3ob2o2b2obobo10bo7bo4bob3o6b2o2bo2bo4bobobo2bo7bo2b2o7bob2obobo6b2ob3o
bo6b2o4b2o7bob3o3bo3bobob4o6bo2bo4b2o4bo3bo14b2obo3b2o2bo6b2obo9b3o5bo
bo2bob2o12bo11b3obobob2o10bobo3bo$3bobo2bo5b2o7bobo2bo5bo2bobo2b3ob3ob
o5bobobo4b2o2b3obo4bo2bobo2bob2o4bo2bo2bo2bobob2o6bobo3b4o2bo5bobo2b2o
2b3o3bo2bo2bo3b4o3bo5b2o5bo6b3o14bobobo3bobobobo4b3obo5b2o2b2o6bo2bo5b
o5b2o15bo5bo3bo2bo5b2o10b2o2bob5o2bo5bo2b4obo4b3o3bo3bo$o2b2o2bo4bo2b
2obobob2obo5b2o4bo2bo2bo5bo5bo3bob2obo4b2o2bobobobobo3bobo5bob3obob2o
7bo3bo2bob4o3b2obo3bobo7bob2o2bo2bo2bo2bo4bob2o2bo15bobo3bob2ob2o3bo9b
o5b2o4bobo4bo6b2ob2obobobo2b2obobo3bo3bobo5b4ob2obo3b2o4b2obo5bobo3bo
6bobo7bob3o5bo3bo3bo12b3o$bobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobo$o2b2o2bo4bo2b2obobob2obo5b2o4bo2bo
2bo5bo5bo3bob2obo4b2o2bobobobobo3bobo5bob3obob2o7bo3bo2bob4o3b2obo3bob
o7bob2o2bo2bo2bo2bo4bob2o2bo15bobo3bob2ob2o3bo9bo5b2o4bobo4bo6b2ob2obo
bobo2b2obobo3bo3bobo5b4ob2obo3b2o4b2obo5bobo3bo6bobo7bob3o5bo3bo3bo12b
3o$3bobo2bo5b2o7bobo2bo5bo2bobo2b3ob3obo5bobobo4b2o2b3obo4bo2bobo2bob
2o4bo2bo2bo2bobob2o6bobo3b4o2bo5bobo2b2o2b3o3bo2bo2bo3b4o3bo5b2o5bo6b
3o14bobobo3bobobobo4b3obo5b2o2b2o6bo2bo5bo5b2o15bo5bo3bo2bo5b2o10b2o2b
ob5o2bo5bo2b4obo4b3o3bo3bo$bo8b4o8b3o6bobo2bo11b3o6bo2b3ob2o2b2obobo
10bo7bo4bob3o6b2o2bo2bo4bobobo2bo7bo2b2o7bob2obobo6b2ob3obo6b2o4b2o7bo
b3o3bo3bobob4o6bo2bo4b2o4bo3bo14b2obo3b2o2bo6b2obo9b3o5bobo2bob2o12bo
11b3obobob2o10bobo3bo$bobobo9bob2o12bobo11bo4bo9bo2bobobo2bo6bob3o3bo
5bobobobob3o11bo2b2obo7bo5bo2b5o13bo7bo2bo3bo3b2o3bo3bo13bo3b2o13b3o3b
o3b3o18bo14bo4bob2o5bobo5bo6bo2b2obo2bo5b2o4b3ob2o4bo5bobo9b2o6bo$bobo
28bo15b3o9b3o3b3o2bo10bo7bo2bob2o5bobobo10b2obo9b5o2b2obo6b2o2bo2bo10b
obo9bo16bo3b3o2bo19bob2o3bo9bo19bo7bo8bo4bo7bobo6b2obo4bo3bo27bo$2bo3b
2o13bo42b3o3b2o7b2o18b5o7bo11b3o15b2o6b3o13bobo32b2o16bo5bo6bo7bo28bob
2o4b3o21b2o2bob2o2b2o$2bo2b2o58bobo4bo4b2o12bobo16b2o2bo2bo3bo44bo61b
2o48bo23bo13b2o4bo16bo$4bo58bo2bo3bo4bo4bo10bo52b2o2bo2bo58bo38bo26b2o
38bo4bo3bo$25bo38bo2bob3o4b2o7bo25b2o2bo32bo3bo49bo7b2o26bo9bo44bo63bo
$32bo30b2ob3o6b2o35b2obo91bob2o4bo78bo62bo$31bo33bo47bobo113bo39bo$
208b3o19bo108bo$195bo47bo$33bo201bo8bo$272bo20bo$79bo4$214bo!
:D

Diagonal example:

Code: Select all

x = 5, y = 5, rule = B2-ac3-ekqy4c5cnqr/S03-eky4cew
bo$2b2o$2b2o$o3bo$bo!
Last edited by Rhombic on June 28th, 2017, 10:00 am, edited 1 time in total.
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Saka
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Re: Observation on chaotic growth

Post by Saka » June 20th, 2017, 5:27 pm

I hate these. It seems like a good rule to search and then these monsters pop up. My solution is usually to search in a different symmetry as the pattern but that doesn't always work. There are also ones in D2_+2 I believe. I'm also curious about these. Does every rule have one? Does life have one? Or to make it easier, does HighLife have one?

Code: Select all

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!
(Check gen 3)
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Re: Observation on chaotic growth

Post by BlinkerSpawn » June 20th, 2017, 6:14 pm

In these rules what seems to be the case is that a random chaotic soup has a distribution of neighborhoods that is not conducive to explosion, but even and/or odd symmetry greatly skews said distribution into one that is far more conducive to explosion.
Saka wrote:Does life have one? Or to make it easier, does HighLife have one?
You mean a common pattern that chaotically explodes along an axis?
If either one did* we'd most likely know by now.

*the HighLife replicator doesn't count because its axis of symmetry is rarely the axis of symmetry of its parent reaction or soup, if any.
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Rhombic
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Re: Observation on chaotic growth

Post by Rhombic » June 21st, 2017, 10:58 am

I'm not talking about the fact that they are annoying, but just trying to find an explanation as to why so many rules exhibit this behaviour. It just wouldn't seem to be self-sustained yet it sustains itself perfectly unless the symmetry is disrupted at some point in the active area.
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Re: Observation on chaotic growth

Post by 83bismuth38 » June 21st, 2017, 12:12 pm

this appeared to be one, but it's not:

Code: Select all

x = 5, y = 3, rule = B2i34airw/S023i5
o$ob3o$o!
however, in a rule one transition away, this happens:

Code: Select all

x = 5, y = 3, rule = B2i34airw/S023ei5
o$ob3o$o!

Code: Select all

x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!
No football of any dui mauris said that.

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Rhombic
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Re: Observation on chaotic growth

Post by Rhombic » June 26th, 2017, 7:20 am

Another example:

Code: Select all

x = 145, y = 1533, rule = B2c3-nq4a5aq6i_S1e2cei3-cy56-e7
16$62bo$61bobo$60bo3bo$60bo3bo$59bo5bo$61bobo$62bo3$60bobobo$59bobobob
o$59bobobobo$58b2ob3ob2o2$59bo5bo$61b3o$62bo$62bo2$60bobobo$61b3o$61b
3o$62bo2$61b3o$61b3o$60bo3bo$59b2o3b2o$59b3ob3o$59bobobobo$59b3ob3o2$
60bo3bo$60b2ob2o$60b2ob2o$60b2ob2o$60b2ob2o$58bo2b3o2bo$62bo$57b3ob3ob
3o$58bo7bo$54b5o3bo3b5o$54b2o3bo5bo3b2o$53bo3bobo5bobo3bo$55bo13bo$52b
ob3o4b3o4b3obo$52bob2o4b5o4b2obo$49b2o2b2o7bo7b2o2b2o$50b2o5bo2b2ob2o
2bo5b2o$50bobo4b4o3b4o4bobo$52bo5bo2bobo2bo5bo$59b2o3b2o$60bobobo$59bo
b3obo$60bo3bo$59bo2bo2bo$31b2o27bo3bo27b2o$31bobo25bo5bo25bobo$31bo29b
obo29bo$56bobob5obobo$57bobobobobobo$57bo4bo4bo$54bo5bo3bo5bo$54bobo3b
2ob2o3bobo$56b2o9b2o$57b3ob3ob3o$57b2obobobob2o$60b5o2$60bo3bo$59bob3o
bo$58b3o3b3o$57bo3b3o3bo$58bob5obo$60bobobo$59b7o5$59b7o$58b9o$42bo19b
o19bo$42bo16b3ob3o16bo$58b2o2bo2b2o$59b3ob3o$58bobo3bobo$60b2ob2o$57b
2obobobob2o$55bobob2obob2obobo$56b2obo2bo2bob2o$56bobobo3bobobo$57bo2b
obobo2bo2$57b2obobobob2o$55b4o2b3o2b4o$55b2ob3o3b3ob2o$57bobo2bo2bobo$
60bobobo$58bo7bo$56bo2b2o3b2o2bo$58b4ob4o$56b2o3b3o3b2o$57b2o2bobo2b2o
$59bo5bo$61b3o$57bo9bo$58b4ob4o$59b2obob2o$55bo5bobo5bo$55bo4b2ob2o4bo
$53bo5b7o5bo$52b2o2bo3bo3bo3bo2b2o$53b6o3bo3b6o$54bob3o7b3obo$60bo3bo$
51b2o3bo4b3o4bo3b2o$51b2ob4o2bobobo2b4ob2o$51b3o2bo4bobo4bo2b3o$53bobo
4b5o4bobo$61b3o$56b2o2b2ob2o2b2o$55b2o11b2o$57bobo2bo2bobo$58b2obobob
2o$58bo3bo3bo$60b2ob2o$55b2o2b7o2b2o$51bo2bobo4b3o4bobo2bo$53bo5bo5bo
5bo$50b4obo13bob4o$50b3o2b2o11b2o2b3o$51b2o2bo4b5o4bo2b2o$50b2ob3obo2b
5o2bob3ob2o$54bo4b7o4bo$52bo19bo$60bo3bo$60bo3bo$55bo13bo$54bo3bo3bo3b
o3bo$54b2ob2obobobob2ob2o$55bobobo2bo2bobobo$57bobo5bobo$56b2ob7ob2o$
57bo3bobo3bo$56bo2b2o3b2o2bo$55bobobobobobobobo$55bo13bo$55bo2bob5obo
2bo$53bo3bo2b5o2bo3bo$54bob2o2bo3bo2b2obo$52b2o2bo5bo5bo2b2o$52bo9bo9b
o$52bob2o13b2obo$53b2o4bobobobo4b2o$49bo2bob2o3b2obob2o3b2obo2bo$49bo
4bo3bo3bo3bo3bo4bo$51bo8bobobo8bo$50b2o2bo3bobo3bobo3bo2b2o$52bo7b5o7b
o$52bobo2bo2bobobo2bo2bobo$49b2obo2bobobo5bobobo2bob2o$42bo4bo4b2o2b2o
3b3o3b2o2b2o4bo4bo$43b2o3bo2b3o2bo2b3ob3o2bo2b3o2bo3b2o$40bo8bo3b3obo
2bo3bo2bob3o3bo8bo$40b3o3b2o9bobobobobobo9b2o3b3o$39bobobob2o7bo5bobob
o5bo7b2obobobo$40b3o8b2o4b3o5b3o4b2o8b3o$40bo2bobo3b3o3bo2bo2b3o2bo2bo
3b3o3bobo2bo$46bo11bo2bobo2bo11bo$62bo$52bo6bobobobo6bo4$62bo$60b5o$
43bo16bo3bo16bo$43bo37bo$59b2obob2o2$60b2ob2o$59bo5bo$60bo3bo$41bo19bo
bo19bo$41bo18bo3bo18bo$59bo5bo$61bobo$58b2o2bo2b2o$56bo5bo5bo$55bo4bo
3bo4bo$56bo3b5o3bo$59b2o3b2o$58bob5obo$59b3ob3o$62bo$57b3o5b3o$58b3o3b
3o$57b3o5b3o$55bobo4bo4bobo$55b2ob3obob3ob2o$56bob2o2bo2b2obo2$61bobo$
60b2ob2o$51bobo17bobo$51b2o3b3obobobob3o3b2o$44bo8b4o4bobo4b4o8bo$43b
2o9bobob2o2bo2b2obobo9b2o$43bo10b2o4bo3bo4b2o10bo$54b3o2bo2bo2bo2b3o$
55bo2bo3bo3bo2bo$55b3ob2o3b2ob3o$57b2o3bo3b2o$58b2o2bo2b2o$58bo2b3o2bo
$57bo3bobo3bo$57b2o3bo3b2o$54bo7bo7bo$57bobo5bobo$55bo3bob3obo3bo$59bo
bobobo$60bo3bo$62bo3$61bobo$58bo2b3o2bo$54b2ob3ob3ob3ob2o$55bo3b3ob3o
3bo$48b2o3bobo2b2ob3ob2o2bobo3b2o$49b2o2b3ob2o3bo3b2ob3o2b2o$57b2o3bo
3b2o$54bobo2bob3obo2bobo$49b2o3bob4o2bo2b4obo3b2o$49b2obobobobo2bobo2b
obobobob2o$49b2o2bob2obo3bo3bob2obo2b2o$54b2o2bo7bo2b2o$53b2o7bo7b2o$
53bo17bo$59b2obob2o$58b2o5b2o$51b2o19b2o$51bobo6bo3bo6bobo$51bo8bobobo
8bo$60bobobo$60b5o$59bo2bo2bo$59bo5bo$61bobo$55b2o5bo5b2o$54bo4b3ob3o
4bo$54b3o3b5o3b3o$60b2ob2o$47bo6bo2bo3b3o3bo2bo6bo$47bo6b2obobo2bo2bob
ob2o6bo$44b2o9b2ob2o5b2ob2o9b2o$62bo2$60bobobo$55b5o5b5o$54bo4bo5bo4bo
$55b2obob5obob2o$58b2obobob2o$60b5o$56bobo3bo3bobo$57b2o2bobo2b2o$56bo
4b3o4bo$57bobo5bobo$57b3o2bo2b3o$58bo2bobo2bo$58bo3bo3bo$59bo5bo$61b3o
$61bobo$60b2ob2o$52b3o5b2ob2o5b3o$54bo2bo4bo4bo2bo$55bo2bo2b3o2bo2bo$
50bo3bo2bobo2bo2bobo2bo3bo$49bob2obo2b3o2bo2b3o2bob2obo$48bo4bo2bo2bob
obobo2bo2bo4bo$52b2o2b2ob2obob2ob2o2b2o$46bobo3bo3bob2obobob2obo3bo3bo
bo$48bo3bo5b9o5bo3bo$52bo5bo3bo3bo5bo$49bobo4bobobo3bobobo4bobo$48bo4b
8o3b8o4bo$55bob2o3bo3b2obo$53bo4bo3bo3bo4bo$54bob2ob2o3b2ob2obo$57b2o
2b3o2b2o$58b2o2bo2b2o$56bobo2b3o2bobo$55b3ob2obob2ob3o$56b4o5b4o$60b2o
b2o$56bo3bobobo3bo$56bob3obob3obo$38bo16bo2bo2bobo2bo2bo16bo$38bo17bo
11bo17bo2$54bo15bo$54bobo2bo5bo2bobo$54b2ob2o7b2ob2o$55bobo9bobo$54bo
3bob2ob2obo3bo$56bo3bobobo3bo$59bobobobo$53b2o3b2o2bo2b2o3b2o$53b2o6bo
bo6b2o$55b2ob2obobob2ob2o$54bo6b3o6bo$54bobobo7bobobo$55bo3b2obob2o3bo
$55bo2b2o2bo2b2o2bo$62bo$57bo2bo3bo2bo$57b3ob3ob3o$57bo3b3o3bo$62bo$
60b5o$59bo5bo$59bobobobo$60bo3bo$59bo5bo$60bobobo2$62bo$60bo3bo$60bobo
bo$57bo2bo3bo2bo$56bobo2b3o2bobo$54bo3b3o3b3o3bo$53b8o3b8o$54b6o2bo2b
6o$55b5o2bo2b5o$62bo$61b3o$62bo$62bo2$61b3o$58b2o5b2o$55bo3bo2bo2bo3bo
$53bo3bob3ob3obo3bo$51b3ob3obobobobob3ob3o$50b2obo2b5obob5o2bob2o$50bo
4b2obob2ob2obob2o4bo$48bo6bo13bo6bo$48bobo4bo2bo2b3o2bo2bo4bobo$50bo3b
o7bo7bo3bo$51bo2bob2ob2obob2ob2obo2bo$49bo3b3ob2obo3bob2ob3o3bo$53b2o
5bobobo5b2o$52b2o3b2obobobob2o3b2o$54bo5bo3bo5bo$46b2o4b2obo4bo3bo4bob
2o4b2o$49b2ob3o3bo3bo3bo3b3ob2o$46b2o4b3obo2b2o3b2o2bob3o4b2o$46b2ob2o
b3o2b11o2b3ob2ob2o$46bo6bo2bob9obo2bo6bo$47b5o2b3o5bo5b3o2b5o$48b2o3b
2o2b2o7b2o2b2o3b2o$48b2o3bobo2bo2bobo2bo2bobo3b2o$52bo2bo2bo2b3o2bo2bo
2bo$50bobobo2b3o5b3o2bobobo$51bobo3bo3bobo3bo3bobo$57bobo2bo2bobo$57b
2ob5ob2o$58bo3bo3bo$58bobobobobo$58bo3bo3bo$55bo4b5o4bo$54bob4o5b4obo$
57b4obob4o$53b2o2b3o2bo2b3o2b2o$56bo2bob3obo2bo$61b3o$59bo2bo2bo$58b3o
bob3o$55b2ob3o3b3ob2o$54b4obo5bob4o$53bob5obobob5obo$53b2o4bo5bo4b2o$
52b2o2bo2bobobobo2bo2b2o$53b2ob2o2bo3bo2b2ob2o$54b4obo2bo2bob4o$58b2ob
3ob2o$53b2ob4obobob4ob2o$58bob2ob2obo$56bobo7bobo$57bob2obob2obo$60bo
3bo$59b7o$59b7o$60bobobo$60bo3bo$60b2ob2o$60bobobo$60bobobo$59b2o3b2o$
59b2obob2o$58bobo3bobo$59b2o3b2o$61bobo$55bo4b2ob2o4bo$56b2ob2o3b2ob2o
$53b2o2b2o2b3o2b2o2b2o$56bo2bo2bo2bo2bo$53bo4b2ob3ob2o4bo$56b3o3bo3b3o
$54bob2o2bobobo2b2obo$56bo3b2ob2o3bo$57b2obobobob2o$55b3o3b3o3b3o$56b
2ob2o3b2ob2o$54b2obobo5bobob2o$54b5o3bo3b5o$62bo2$52b2o5b2obob2o5b2o$
53bo5b2obob2o5bo$52b2o5b3ob3o5b2o$52b3o3b2o5b2o3b3o$52bo5b2ob3ob2o5bo$
52bobo3b3obob3o3bobo$52bo4b2o2bobo2b2o4bo$53bob2obob5obob2obo$53bo2b3o
3bo3b3o2bo$52b2o2bobo3bo3bobo2b2o$49b4o2b2o4b3o4b2o2b4o$48bob2o3b2o2bo
5bo2b2o3b2obo$47bobo5bo4b2ob2o4bo5bobo$48bo4bo5b2obob2o5bo4bo$50b2obo
5bobobobo5bob2o$61b3o$60bo3bo2$57bo2b2ob2o2bo$56bo5bo5bo$58bo2bobo2bo$
54bob3obobobob3obo$53b2o15b2o$51bobo2bobob2ob2obobo2bobo$53b4ob2o2bo2b
2ob4o$53bo4b9o4bo$55b3o3bobo3b3o$57b2ob5ob2o$57bobo5bobo$58bo2bobo2bo$
56b2ob2o3b2ob2o$57bob7obo$58bo7bo$61bobo$62bo7$53bo17bo$53bo17bo2$61bo
bo$56bo4bobo4bo$56bob2ob3ob2obo$48bo6b2o3bobobo3b2o6bo$57bobobobobobo$
54bobo3bobobo3bobo$48bo7b2ob2obob2ob2o7bo$55bo2bo7bo2bo$56bo11bo$55b3o
9b3o$56bo11bo13$62bo$62bo$61bobo$60b2ob2o$58b3o3b3o$57bo3bobo3bo$52bo
5bob5obo5bo$52bo6bob3obo6bo$60bo3bo$60b2ob2o$61bobo$57b2o3bo3b2o$56b2o
b2obob2ob2o$56b3o2bobo2b3o$57b2o2b3o2b2o$57b2o7b2o$60bobobo$58bo7bo$
59b2obob2o$56bob3obob3obo$57bob2o3b2obo$59bo2bo2bo$58bo7bo$57b2o2bobo
2b2o$57b3obobob3o$58bo2b3o2bo$61b3o$59b2obob2o$61b3o$58b3obob3o2$59bob
obobo$61bobo$61b3o$62bo$57bo3bobo3bo$57b2o7b2o$57bo2bobobo2bo$62bo2$
62bo$62bo$51b2o8bobo8b2o$51bo21bo$54bo5bo3bo5bo$48bobo3b2o3bob3obo3b2o
3bobo$53b2o4bo2bo2bo4b2o$49bo3bo3bob7obo3bo3bo$48bo8bobo2bo2bobo8bo$
60b5o$43bo16b5o16bo$61b3o$43bo6b2obo5b7o5bob2o6bo$51b3obob2o2b3o2b2obo
b3o$55b2o2bobobobo2b2o$51b3o2b3o2b3o2b3o2b3o$52bob5o3bo3b5obo$51bo6b2o
2bo2b2o6bo$52b4o2bo3bo3bo2b4o$54bo3bo2bobo2bo3bo$55bo2bobo3bobo2bo$55b
o6bo6bo$54bobo11bobo$58b2o5b2o$58b2o2bo2b2o$54b3o11b3o$52b2o3b2o2bobo
2b2o3b2o$53bo4b2o5b2o4bo$53bo17bo$56bo11bo$56bo3bobobo3bo$58bo2bobo2bo
$57bob7obo$56b4o5b4o$56b3o2bobo2b3o$60b2ob2o$58bo7bo$57b3o2bo2b3o$56b
2obo2bo2bob2o$53b3obo3bobo3bob3o$53bobo5b3o5bobo$55b2obobobobobob2o$
50b2o2b2obo2bobobo2bob2o2b2o$56b3obo3bob3o$53bob6obob6obo$52b2ob2o3b2o
b2o3b2ob2o$54bo15bo$55bo4bobobo4bo$60bobobo$61bobo$59b2o3b2o$58b3o3b3o
$59b2obob2o$60bobobo$55b2o4b3o4b2o3$60bobobo2$62bo2$15b2o41b3obob3o41b
2o$15bobo41bo2bo2bo41bobo$15bo41b2ob2ob2ob2o41bo$55bo13bo$54bo2bob7obo
2bo$54bo2bo3bobo3bo2bo$55b2obo3bo3bob2o$55bobo9bobo$55bo5bobo5bo$56bob
o3bo3bobo$54b2ob3obobob3ob2o$54bo4b3ob3o4bo$54b2o5bobo5b2o$55bo5bobo5b
o$55b2o11b2o$54b3o2bo5bo2b3o$53bob2o5bo5b2obo$54bo3b9o3bo$58bo7bo$57b
2o7b2o6$50b2o21b2o$51b2o19b2o3$47b3o25b3o$49bo25bo$48bo27bo2$57bo9bo$
54b2o2bo3bo3bo2b2o$54bobo3b2ob2o3bobo$52bo3bo4b3o4bo3bo$51bo4bo2bob3ob
o2bo4bo$50bo6bo9bo6bo$52bo3b2o9b2o3bo$57bob2o3b2obo$56b2o2bobobo2b2o$
60bobobo$60b2ob2o$59bobobobo$60bobobo$58b2obobob2o$58bob2ob2obo$57b3o
2bo2b3o$58bo7bo$50bo5b2o4bo4b2o5bo$51bo4b2ob2o3b2ob2o4bo$45bo2bo2bo4bo
2b2o3b2o2bo4bo2bo2bo$45bob5obo2bo5bo5bo2bob5obo$48b3obo4bo2b2ob2o2bo4b
ob3o$49b2o2bobobobo5bobobobo2b2o$50bo2b2o2b4o3b4o2b2o2bo$50bo4bo3b2obo
b2o3bo4bo$45bo10bo2bo2bo2bo2bo10bo$45bo15bobo15bo$53b4o5bo5b4o$54b2obo
3b3o3bob2o$55b4o3bo3b4o$57bobo5bobo$53bo3bo9bo3bo$53b2o7bo7b2o$54bo7bo
7bo$61b3o$60bo3bo$60bo3bo$62bo$59bo5bo$58bo3bo3bo$62bo$58bob5obo$62bo$
60bo3bo$61b3o$61b3o$57bob2o3b2obo$60b2ob2o$62bo$59b3ob3o$61b3o$62bo$
61bobo$58b2o2bo2b2o$57bo2bo3bo2bo$56b2o4bo4b2o$57bobo5bobo$60bo3bo$61b
3o$54bobo4b3o4bobo$52b2o4bo2bobo2bo4b2o$53b3obob2obob2obob3o$51b2obobo
2b3ob3o2bobob2o$52b3o4bo5bo4b3o$54bob2o9b2obo$53bo4bo3bo3bo4bo$59b3ob
3o$56b2o2bobobo2b2o$57b3o5b3o$58b2obobob2o$57bobo2bo2bobo$53bo3bo2bo3b
o2bo3bo$55bo3b2obob2o3bo$52bo19bo$54bo4b7o4bo$62bo$61bobo$60b5o$59bob
3obo$62bo$60b2ob2o$61bobo$62bo$61bobo$62bo2$59bob3obo$58bo3bo3bo$57b2o
2b3o2b2o$57bo2b5o2bo$59b2o3b2o$57bo4bo4bo$47b2o13bo13b2o$50bo8bo5bo8bo
$27bo18bob4o2bo4b7o4bo2b4obo18bo$27bo18bob4o2bo4b7o4bo2b4obo18bo$50bo
8bo5bo8bo$47b2o13bo13b2o$57bo4bo4bo$59b2o3b2o$57bo2b5o2bo$57b2o2b3o2b
2o$58bo3bo3bo$59bob3obo2$62bo$61bobo$62bo$61bobo$60b2ob2o$62bo$59bob3o
bo$60b5o$61bobo$62bo$54bo4b7o4bo$52bo19bo$55bo3b2obob2o3bo$53bo3bo2bo
3bo2bo3bo$57bobo2bo2bobo$58b2obobob2o$57b3o5b3o$56b2o2bobobo2b2o$59b3o
b3o$53bo4bo3bo3bo4bo$54bob2o9b2obo$52b3o4bo5bo4b3o$51b2obobo2b3ob3o2bo
bob2o$53b3obob2obob2obob3o$52b2o4bo2bobo2bo4b2o$54bobo4b3o4bobo$61b3o$
60bo3bo$57bobo5bobo$56b2o4bo4b2o$57bo2bo3bo2bo$58b2o2bo2b2o$61bobo$62b
o$61b3o$59b3ob3o$62bo$60b2ob2o$57bob2o3b2obo$61b3o$61b3o$60bo3bo$62bo$
58bob5obo$62bo$58bo3bo3bo$59bo5bo$62bo$60bo3bo$60bo3bo$61b3o$54bo7bo7b
o$53b2o7bo7b2o$53bo3bo9bo3bo$57bobo5bobo$55b4o3bo3b4o$54b2obo3b3o3bob
2o$53b4o5bo5b4o$45bo15bobo15bo$45bo10bo2bo2bo2bo2bo10bo$50bo4bo3b2obob
2o3bo4bo$50bo2b2o2b4o3b4o2b2o2bo$49b2o2bobobobo5bobobobo2b2o$48b3obo4b
o2b2ob2o2bo4bob3o$45bob5obo2bo5bo5bo2bob5obo$45bo2bo2bo4bo2b2o3b2o2bo
4bo2bo2bo$51bo4b2ob2o3b2ob2o4bo$50bo5b2o4bo4b2o5bo$58bo7bo$57b3o2bo2b
3o$58bob2ob2obo$58b2obobob2o$60bobobo$59bobobobo$60b2ob2o$60bobobo$56b
2o2bobobo2b2o$57bob2o3b2obo$52bo3b2o9b2o3bo$50bo6bo9bo6bo$51bo4bo2bob
3obo2bo4bo$52bo3bo4b3o4bo3bo$54bobo3b2ob2o3bobo$54b2o2bo3bo3bo2b2o$57b
o9bo2$48bo27bo$49bo25bo$47b3o25b3o3$51b2o19b2o$50b2o21b2o6$57b2o7b2o$
58bo7bo$54bo3b9o3bo$53bob2o5bo5b2obo$54b3o2bo5bo2b3o$55b2o11b2o$55bo5b
obo5bo$54b2o5bobo5b2o$54bo4b3ob3o4bo$54b2ob3obobob3ob2o$56bobo3bo3bobo
$55bo5bobo5bo$55bobo9bobo$55b2obo3bo3bob2o$54bo2bo3bobo3bo2bo$54bo2bob
7obo2bo$55bo13bo$15bo41b2ob2ob2ob2o41bo$15bobo41bo2bo2bo41bobo$15b2o
41b3obob3o41b2o2$62bo2$60bobobo3$55b2o4b3o4b2o$60bobobo$59b2obob2o$58b
3o3b3o$59b2o3b2o$61bobo$60bobobo$55bo4bobobo4bo$54bo15bo$52b2ob2o3b2ob
2o3b2ob2o$53bob6obob6obo$56b3obo3bob3o$50b2o2b2obo2bobobo2bob2o2b2o$
55b2obobobobobob2o$53bobo5b3o5bobo$53b3obo3bobo3bob3o$56b2obo2bo2bob2o
$57b3o2bo2b3o$58bo7bo$60b2ob2o$56b3o2bobo2b3o$56b4o5b4o$57bob7obo$58bo
2bobo2bo$56bo3bobobo3bo$56bo11bo$53bo17bo$53bo4b2o5b2o4bo$52b2o3b2o2bo
bo2b2o3b2o$54b3o11b3o$58b2o2bo2b2o$58b2o5b2o$54bobo11bobo$55bo6bo6bo$
55bo2bobo3bobo2bo$54bo3bo2bobo2bo3bo$52b4o2bo3bo3bo2b4o$51bo6b2o2bo2b
2o6bo$52bob5o3bo3b5obo$51b3o2b3o2b3o2b3o2b3o$55b2o2bobobobo2b2o$51b3ob
ob2o2b3o2b2obob3o$43bo6b2obo5b7o5bob2o6bo$61b3o$43bo16b5o16bo$60b5o$
48bo8bobo2bo2bobo8bo$49bo3bo3bob7obo3bo3bo$53b2o4bo2bo2bo4b2o$48bobo3b
2o3bob3obo3b2o3bobo$54bo5bo3bo5bo$51bo21bo$51b2o8bobo8b2o$62bo$62bo2$
62bo$57bo2bobobo2bo$57b2o7b2o$57bo3bobo3bo$62bo$61b3o$61bobo$59bobobob
o2$58b3obob3o$61b3o$59b2obob2o$61b3o$58bo2b3o2bo$57b3obobob3o$57b2o2bo
bo2b2o$58bo7bo$59bo2bo2bo$57bob2o3b2obo$56bob3obob3obo$59b2obob2o$58bo
7bo$60bobobo$57b2o7b2o$57b2o2b3o2b2o$56b3o2bobo2b3o$56b2ob2obob2ob2o$
57b2o3bo3b2o$61bobo$60b2ob2o$60bo3bo$52bo6bob3obo6bo$52bo5bob5obo5bo$
57bo3bobo3bo$58b3o3b3o$60b2ob2o$61bobo$62bo$62bo13$56bo11bo$55b3o9b3o$
56bo11bo$55bo2bo7bo2bo$48bo7b2ob2obob2ob2o7bo$54bobo3bobobo3bobo$57bob
obobobobo$48bo6b2o3bobobo3b2o6bo$56bob2ob3ob2obo$56bo4bobo4bo$61bobo2$
53bo17bo$53bo17bo7$62bo$61bobo$58bo7bo$57bob7obo$56b2ob2o3b2ob2o$58bo
2bobo2bo$57bobo5bobo$57b2ob5ob2o$55b3o3bobo3b3o$53bo4b9o4bo$53b4ob2o2b
o2b2ob4o$51bobo2bobob2ob2obobo2bobo$53b2o15b2o$54bob3obobobob3obo$58bo
2bobo2bo$56bo5bo5bo$57bo2b2ob2o2bo2$60bo3bo$61b3o$50b2obo5bobobobo5bob
2o$48bo4bo5b2obob2o5bo4bo$47bobo5bo4b2ob2o4bo5bobo$48bob2o3b2o2bo5bo2b
2o3b2obo$49b4o2b2o4b3o4b2o2b4o$52b2o2bobo3bo3bobo2b2o$53bo2b3o3bo3b3o
2bo$53bob2obob5obob2obo$52bo4b2o2bobo2b2o4bo$52bobo3b3obob3o3bobo$52bo
5b2ob3ob2o5bo$52b3o3b2o5b2o3b3o$52b2o5b3ob3o5b2o$53bo5b2obob2o5bo$52b
2o5b2obob2o5b2o2$62bo$54b5o3bo3b5o$54b2obobo5bobob2o$56b2ob2o3b2ob2o$
55b3o3b3o3b3o$57b2obobobob2o$56bo3b2ob2o3bo$54bob2o2bobobo2b2obo$56b3o
3bo3b3o$53bo4b2ob3ob2o4bo$56bo2bo2bo2bo2bo$53b2o2b2o2b3o2b2o2b2o$56b2o
b2o3b2ob2o$55bo4b2ob2o4bo$61bobo$59b2o3b2o$58bobo3bobo$59b2obob2o$59b
2o3b2o$60bobobo$60bobobo$60b2ob2o$60bo3bo$60bobobo$59b7o$59b7o$60bo3bo
$57bob2obob2obo$56bobo7bobo$58bob2ob2obo$53b2ob4obobob4ob2o$58b2ob3ob
2o$54b4obo2bo2bob4o$53b2ob2o2bo3bo2b2ob2o$52b2o2bo2bobobobo2bo2b2o$53b
2o4bo5bo4b2o$53bob5obobob5obo$54b4obo5bob4o$55b2ob3o3b3ob2o$58b3obob3o
$59bo2bo2bo$61b3o$56bo2bob3obo2bo$53b2o2b3o2bo2b3o2b2o$57b4obob4o$54bo
b4o5b4obo$55bo4b5o4bo$58bo3bo3bo$58bobobobobo$58bo3bo3bo$57b2ob5ob2o$
57bobo2bo2bobo$51bobo3bo3bobo3bo3bobo$50bobobo2b3o5b3o2bobobo$52bo2bo
2bo2b3o2bo2bo2bo$48b2o3bobo2bo2bobo2bo2bobo3b2o$48b2o3b2o2b2o7b2o2b2o
3b2o$47b5o2b3o5bo5b3o2b5o$46bo6bo2bob9obo2bo6bo$46b2ob2ob3o2b11o2b3ob
2ob2o$46b2o4b3obo2b2o3b2o2bob3o4b2o$49b2ob3o3bo3bo3bo3b3ob2o$46b2o4b2o
bo4bo3bo4bob2o4b2o$54bo5bo3bo5bo$52b2o3b2obobobob2o3b2o$53b2o5bobobo5b
2o$49bo3b3ob2obo3bob2ob3o3bo$51bo2bob2ob2obob2ob2obo2bo$50bo3bo7bo7bo
3bo$48bobo4bo2bo2b3o2bo2bo4bobo$48bo6bo13bo6bo$50bo4b2obob2ob2obob2o4b
o$50b2obo2b5obob5o2bob2o$51b3ob3obobobobob3ob3o$53bo3bob3ob3obo3bo$55b
o3bo2bo2bo3bo$58b2o5b2o$61b3o2$62bo$62bo$61b3o$62bo$55b5o2bo2b5o$54b6o
2bo2b6o$53b8o3b8o$54bo3b3o3b3o3bo$56bobo2b3o2bobo$57bo2bo3bo2bo$60bobo
bo$60bo3bo$62bo2$60bobobo$59bo5bo$60bo3bo$59bobobobo$59bo5bo$60b5o$62b
o$57bo3b3o3bo$57b3ob3ob3o$57bo2bo3bo2bo$62bo$55bo2b2o2bo2b2o2bo$55bo3b
2obob2o3bo$54bobobo7bobobo$54bo6b3o6bo$55b2ob2obobob2ob2o$53b2o6bobo6b
2o$53b2o3b2o2bo2b2o3b2o$59bobobobo$56bo3bobobo3bo$54bo3bob2ob2obo3bo$
55bobo9bobo$54b2ob2o7b2ob2o$54bobo2bo5bo2bobo$54bo15bo2$38bo17bo11bo
17bo$38bo16bo2bo2bobo2bo2bo16bo$56bob3obob3obo$56bo3bobobo3bo$60b2ob2o
$56b4o5b4o$55b3ob2obob2ob3o$56bobo2b3o2bobo$58b2o2bo2b2o$57b2o2b3o2b2o
$54bob2ob2o3b2ob2obo$53bo4bo3bo3bo4bo$55bob2o3bo3b2obo$48bo4b8o3b8o4bo
$49bobo4bobobo3bobobo4bobo$52bo5bo3bo3bo5bo$48bo3bo5b9o5bo3bo$46bobo3b
o3bob2obobob2obo3bo3bobo$52b2o2b2ob2obob2ob2o2b2o$48bo4bo2bo2bobobobo
2bo2bo4bo$49bob2obo2b3o2bo2b3o2bob2obo$50bo3bo2bobo2bo2bobo2bo3bo$55bo
2bo2b3o2bo2bo$54bo2bo4bo4bo2bo$52b3o5b2ob2o5b3o$60b2ob2o$61bobo$61b3o$
59bo5bo$58bo3bo3bo$58bo2bobo2bo$57b3o2bo2b3o$57bobo5bobo$56bo4b3o4bo$
57b2o2bobo2b2o$56bobo3bo3bobo$60b5o$58b2obobob2o$55b2obob5obob2o$54bo
4bo5bo4bo$55b5o5b5o$60bobobo2$62bo$44b2o9b2ob2o5b2ob2o9b2o$47bo6b2obob
o2bo2bobob2o6bo$47bo6bo2bo3b3o3bo2bo6bo$60b2ob2o$54b3o3b5o3b3o$54bo4b
3ob3o4bo$55b2o5bo5b2o$61bobo$59bo5bo$59bo2bo2bo$60b5o$60bobobo$51bo8bo
bobo8bo$51bobo6bo3bo6bobo$51b2o19b2o$58b2o5b2o$59b2obob2o$53bo17bo$53b
2o7bo7b2o$54b2o2bo7bo2b2o$49b2o2bob2obo3bo3bob2obo2b2o$49b2obobobobo2b
obo2bobobobob2o$49b2o3bob4o2bo2b4obo3b2o$54bobo2bob3obo2bobo$57b2o3bo
3b2o$49b2o2b3ob2o3bo3b2ob3o2b2o$48b2o3bobo2b2ob3ob2o2bobo3b2o$55bo3b3o
b3o3bo$54b2ob3ob3ob3ob2o$58bo2b3o2bo$61bobo3$62bo$60bo3bo$59bobobobo$
55bo3bob3obo3bo$57bobo5bobo$54bo7bo7bo$57b2o3bo3b2o$57bo3bobo3bo$58bo
2b3o2bo$58b2o2bo2b2o$57b2o3bo3b2o$55b3ob2o3b2ob3o$55bo2bo3bo3bo2bo$54b
3o2bo2bo2bo2b3o$43bo10b2o4bo3bo4b2o10bo$43b2o9bobob2o2bo2b2obobo9b2o$
44bo8b4o4bobo4b4o8bo$51b2o3b3obobobob3o3b2o$51bobo17bobo$60b2ob2o$61bo
bo2$56bob2o2bo2b2obo$55b2ob3obob3ob2o$55bobo4bo4bobo$57b3o5b3o$58b3o3b
3o$57b3o5b3o$62bo$59b3ob3o$58bob5obo$59b2o3b2o$56bo3b5o3bo$55bo4bo3bo
4bo$56bo5bo5bo$58b2o2bo2b2o$61bobo$59bo5bo$41bo18bo3bo18bo$41bo19bobo
19bo$60bo3bo$59bo5bo$60b2ob2o2$59b2obob2o$43bo37bo$43bo16bo3bo16bo$60b
5o$62bo4$52bo6bobobobo6bo$62bo$46bo11bo2bobo2bo11bo$40bo2bobo3b3o3bo2b
o2b3o2bo2bo3b3o3bobo2bo$40b3o8b2o4b3o5b3o4b2o8b3o$39bobobob2o7bo5bobob
o5bo7b2obobobo$40b3o3b2o9bobobobobobo9b2o3b3o$40bo8bo3b3obo2bo3bo2bob
3o3bo8bo$43b2o3bo2b3o2bo2b3ob3o2bo2b3o2bo3b2o$42bo4bo4b2o2b2o3b3o3b2o
2b2o4bo4bo$49b2obo2bobobo5bobobo2bob2o$52bobo2bo2bobobo2bo2bobo$52bo7b
5o7bo$50b2o2bo3bobo3bobo3bo2b2o$51bo8bobobo8bo$49bo4bo3bo3bo3bo3bo4bo$
49bo2bob2o3b2obob2o3b2obo2bo$53b2o4bobobobo4b2o$52bob2o13b2obo$52bo9bo
9bo$52b2o2bo5bo5bo2b2o$54bob2o2bo3bo2b2obo$53bo3bo2b5o2bo3bo$55bo2bob
5obo2bo$55bo13bo$55bobobobobobobobo$56bo2b2o3b2o2bo$57bo3bobo3bo$56b2o
b7ob2o$57bobo5bobo$55bobobo2bo2bobobo$54b2ob2obobobob2ob2o$54bo3bo3bo
3bo3bo$55bo13bo$60bo3bo$60bo3bo$52bo19bo$54bo4b7o4bo$50b2ob3obo2b5o2bo
b3ob2o$51b2o2bo4b5o4bo2b2o$50b3o2b2o11b2o2b3o$50b4obo13bob4o$53bo5bo5b
o5bo$51bo2bobo4b3o4bobo2bo$55b2o2b7o2b2o$60b2ob2o$58bo3bo3bo$58b2obobo
b2o$57bobo2bo2bobo$55b2o11b2o$56b2o2b2ob2o2b2o$61b3o$53bobo4b5o4bobo$
51b3o2bo4bobo4bo2b3o$51b2ob4o2bobobo2b4ob2o$51b2o3bo4b3o4bo3b2o$60bo3b
o$54bob3o7b3obo$53b6o3bo3b6o$52b2o2bo3bo3bo3bo2b2o$53bo5b7o5bo$55bo4b
2ob2o4bo$55bo5bobo5bo$59b2obob2o$58b4ob4o$57bo9bo$61b3o$59bo5bo$57b2o
2bobo2b2o$56b2o3b3o3b2o$58b4ob4o$56bo2b2o3b2o2bo$58bo7bo$60bobobo$57bo
bo2bo2bobo$55b2ob3o3b3ob2o$55b4o2b3o2b4o$57b2obobobob2o2$57bo2bobobo2b
o$56bobobo3bobobo$56b2obo2bo2bob2o$55bobob2obob2obobo$57b2obobobob2o$
60b2ob2o$58bobo3bobo$59b3ob3o$58b2o2bo2b2o$42bo16b3ob3o16bo$42bo19bo
19bo$58b9o$59b7o5$59b7o$60bobobo$58bob5obo$57bo3b3o3bo$58b3o3b3o$59bob
3obo$60bo3bo2$60b5o$57b2obobobob2o$57b3ob3ob3o$56b2o9b2o$54bobo3b2ob2o
3bobo$54bo5bo3bo5bo$57bo4bo4bo$57bobobobobobo$56bobob5obobo$31bo29bobo
29bo$31bobo25bo5bo25bobo$31b2o27bo3bo27b2o$59bo2bo2bo$60bo3bo$59bob3ob
o$60bobobo$59b2o3b2o$52bo5bo2bobo2bo5bo$50bobo4b4o3b4o4bobo$50b2o5bo2b
2ob2o2bo5b2o$49b2o2b2o7bo7b2o2b2o$52bob2o4b5o4b2obo$52bob3o4b3o4b3obo$
55bo13bo$53bo3bobo5bobo3bo$54b2o3bo5bo3b2o$54b5o3bo3b5o$58bo7bo$57b3ob
3ob3o$62bo$58bo2b3o2bo$60b2ob2o$60b2ob2o$60b2ob2o$60b2ob2o$60bo3bo2$
59b3ob3o$59bobobobo$59b3ob3o$59b2o3b2o$60bo3bo$61b3o$61b3o2$62bo$61b3o
$61b3o$60bobobo2$62bo$62bo$61b3o$59bo5bo2$58b2ob3ob2o$59bobobobo$59bob
obobo$60bobobo3$62bo$61bobo$59bo5bo$60bo3bo$60bo3bo$61bobo$62bo!
How does this happen?
A predecessor:

Code: Select all

x = 21, y = 18, rule = B2c3-nq4a5aq/S1e2cei3-cy5-ey6-ei7
13bo$12b3o$11b3o$4bo12bo2bo$o3bo13bobo$3bo2bo11bobo$bo4bo$4b3o2bo$9bob
o$2b2obo3bobobo$2bob2o3b3o$bo5b2o2bob2o$3bo2bobo4bo$6bobo$5bob3ob2o3b
2o$6bob2obo$10bo$10bo!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

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BlinkerSpawn
Posts: 1964
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: Observation on chaotic growth

Post by BlinkerSpawn » June 26th, 2017, 11:36 am

Rhombic wrote:How does this happen?
Actually, your predecessor is just this:

Code: Select all

x = 4, y = 5, rule = B2c3-nq4a5aq/S1e2cei3-cy5-ey6-ei7
2bo$b2o$o2bo$b2o$2bo!
And as for why it explodes like that, as I explained above, it's all just statistics.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Rhombic
Posts: 1064
Joined: June 1st, 2013, 5:41 pm

Re: Observation on chaotic growth

Post by Rhombic » June 26th, 2017, 1:10 pm

BlinkerSpawn wrote:
Rhombic wrote:How does this happen?
Actually, your predecessor is just this:

Code: Select all

x = 4, y = 5, rule = B2c3-nq4a5aq/S1e2cei3-cy5-ey6-ei7
2bo$b2o$o2bo$b2o$2bo!
And as for why it explodes like that, as I explained above, it's all just statistics.
It has to be statistics in some way. However, I've never seen one die out, and if it was down to some kind of probability of dying out it would most likely NOT be self-sustained, or at least changing (D2_+1-symmetrically) a pair of cells should make it disappear. The explosion only occurs in one dimension, too, and I can't see how the birth conditions can make it significant enough to keep the symmetry line aperiodic and explosive.
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

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BlinkerSpawn
Posts: 1964
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: Observation on chaotic growth

Post by BlinkerSpawn » June 26th, 2017, 3:58 pm

Rhombic wrote:It has to be statistics in some way. However, I've never seen one die out, and if it was down to some kind of probability of dying out it would most likely NOT be self-sustained, or at least changing (D2_+1-symmetrically) a pair of cells should make it disappear. The explosion only occurs in one dimension, too, and I can't see how the birth conditions can make it significant enough to keep the symmetry line aperiodic and explosive.
Did you read that post?
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: Observation on chaotic growth

Post by drc » July 10th, 2017, 5:27 pm

Bumping with one of the strangest examples of this:

Code: Select all

x = 50, y = 50, rule = B2c3-ej/S23
2bob3ob5obo4bo3bo2bob2o4b4ob2o2bobobobo$b2o2bo2bobobo3b4o3b2o2b2o4bobo
bobo3b3ob3o$2o2bobo4b2o4b3ob2ob3ob5o2b3o2b5o3bo$5o4bo2bo2bobo3bob2obob
2ob7o4b2ob2ob2o$2o3b2o2bobob3o2b3o4b3ob3ob6ob2o2b4o$ob4o2b3o2b2o4b5o3b
o2b3o2bob2obob2o4bo$2obobo2b4o2bo4b3o4b3o2bob4ob4o4bob2o$2obobo3b2o2b
3obo3b2obobo4bobob2ob3obob4obo$3b2o2bob2o2bobo3bob8o3bobo3b2ob2ob4o$2o
3b5ob3o4b2obob3ob2o4bo2b2obob2o2b4o$3b2obo3b2o2bo3bobo2bo3b2ob2o2bob2o
2b4obo$bobobob3o4b2ob2o2bo2b5obob2o2b4obob2ob2o$ob2o2b2ob2ob2o6bobob3o
b3o2bo2bob2obob4o$o2bo4bo3bo2bo4bob2o2b4obobo2bo3b2obo3bo$bob2ob2ob2o
4bobobobo2bobo2b2ob2o2b4obobo3b2o$2b2o2bo4b9o2b2obobo5bo3bobo4b2o2bo$
3ob5ob6ob2ob2obo2b2o3bo3bo4bo3bob2o$bob2o2bob2o8b3o4b4ob3o3b5ob2obo2bo
$6o3b4ob2o3b3obob7ob2ob2o4b2ob5o$3o2bo2b4obob2o3b2ob5o3b2ob3obo3bo$bo
2b5o2b4ob3ob2o6b2ob7ob2o6bo$o2b5o3bo4bo2bo2b3o4b2o2b4ob3o3b5o$4bob2ob
4obobo7bobo3bo2bo3bobob4obo2bo$5b4o3bob2ob4ob2ob4o5b2o4bobo3bobo$2b2o
8bob4ob2o3b3o2b2obobobob2o3bo$obo3bo2b2o4b3o2b2ob2obobo3bobo4bo2bob2ob
obo$o2bobob4obo5bobo3bo2bo2bob2o3bo3b2ob6o$bo3bobobobo2bob3obo2b2o2b3o
3bob2o2bo4b4o$3ob4o2b4obo3b3o4bobobo3b2o5bobobobobo$2bob8o9b2o2bob2o2b
o6b2o2bob2ob3o$obob2o3bo4bo4bob2ob3obo4bobo3bo3bob4o$2bo4b6obo2b2ob2ob
5obobobobo2bo2bobo2b2o$3bobo4b2o3bo3b2ob2ob5ob2o2bo2bo2b3ob4o$2b2o2bob
obo2b3o11b2o2b3obob2o3bob2ob3o$bo7b3o3bobobobo2b2o2bob3ob4ob3obobo2bo$
obo3b2obo5b2obob2ob4obob7o4b3obob3o$4b3o5bobobo3bob2obo3b4ob2obo4bo3bo
2bo$ob5obo4b2o3bo2bobobobo2b2obo2bo2bo4b3o$2ob2obo2bobo5b3obo7b2ob3o2b
o2bo2b2o2b2o$2b2o2bobo4b3o2bo2bob6o5b4o2bo2b3o$b2obo2bo2b6obo3bo4b4ob
4o5b2obo$2b2o3b5ob3o2b2ob2o2bob3o2bob2o2bobobob2obobo$obobob2obob3obob
2o3b3o5bobo4bo3bob2obo2bo$b5ob2o2bo2bob2ob5o2bo2b2obob3ob2obobo2bobo$
3bo5bobob2ob2o3bo4bobob5obo3bobobo2bo$b3obob3ob3ob2o3b2o4b3o5b5o2bob3o
b3o$o4b4o2b7ob2obobob3obo5bob3o3bob2o$2bo4b3o2b5o4bo5b4obobo3bobobo2b
2o2bo$3o2bo4bo6b3o3b2o5bobob2o2bo2b4o2b2o$obo2bo5b2ob2obo3b3ob4o2b2o2b
4o2b3o2b2o!

Code: Select all

x = 50, y = 100, rule = B2c3-ej/S23
2bob3ob5obo4bo3bo2bob2o4b4ob2o2bobobobo$b2o2bo2bobobo3b4o3b2o2b2o4bobo
bobo3b3ob3o$2o2bobo4b2o4b3ob2ob3ob5o2b3o2b5o3bo$5o4bo2bo2bobo3bob2obob
2ob7o4b2ob2ob2o$2o3b2o2bobob3o2b3o4b3ob3ob6ob2o2b4o$ob4o2b3o2b2o4b5o3b
o2b3o2bob2obob2o4bo$2obobo2b4o2bo4b3o4b3o2bob4ob4o4bob2o$2obobo3b2o2b
3obo3b2obobo4bobob2ob3obob4obo$3b2o2bob2o2bobo3bob8o3bobo3b2ob2ob4o$2o
3b5ob3o4b2obob3ob2o4bo2b2obob2o2b4o$3b2obo3b2o2bo3bobo2bo3b2ob2o2bob2o
2b4obo$bobobob3o4b2ob2o2bo2b5obob2o2b4obob2ob2o$ob2o2b2ob2ob2o6bobob3o
b3o2bo2bob2obob4o$o2bo4bo3bo2bo4bob2o2b4obobo2bo3b2obo3bo$bob2ob2ob2o
4bobobobo2bobo2b2ob2o2b4obobo3b2o$2b2o2bo4b9o2b2obobo5bo3bobo4b2o2bo$
3ob5ob6ob2ob2obo2b2o3bo3bo4bo3bob2o$bob2o2bob2o8b3o4b4ob3o3b5ob2obo2bo
$6o3b4ob2o3b3obob7ob2ob2o4b2ob5o$3o2bo2b4obob2o3b2ob5o3b2ob3obo3bo$bo
2b5o2b4ob3ob2o6b2ob7ob2o6bo$o2b5o3bo4bo2bo2b3o4b2o2b4ob3o3b5o$4bob2ob
4obobo7bobo3bo2bo3bobob4obo2bo$5b4o3bob2ob4ob2ob4o5b2o4bobo3bobo$2b2o
8bob4ob2o3b3o2b2obobobob2o3bo$obo3bo2b2o4b3o2b2ob2obobo3bobo4bo2bob2ob
obo$o2bobob4obo5bobo3bo2bo2bob2o3bo3b2ob6o$bo3bobobobo2bob3obo2b2o2b3o
3bob2o2bo4b4o$3ob4o2b4obo3b3o4bobobo3b2o5bobobobobo$2bob8o9b2o2bob2o2b
o6b2o2bob2ob3o$obob2o3bo4bo4bob2ob3obo4bobo3bo3bob4o$2bo4b6obo2b2ob2ob
5obobobobo2bo2bobo2b2o$3bobo4b2o3bo3b2ob2ob5ob2o2bo2bo2b3ob4o$2b2o2bob
obo2b3o11b2o2b3obob2o3bob2ob3o$bo7b3o3bobobobo2b2o2bob3ob4ob3obobo2bo$
obo3b2obo5b2obob2ob4obob7o4b3obob3o$4b3o5bobobo3bob2obo3b4ob2obo4bo3bo
2bo$ob5obo4b2o3bo2bobobobo2b2obo2bo2bo4b3o$2ob2obo2bobo5b3obo7b2ob3o2b
o2bo2b2o2b2o$2b2o2bobo4b3o2bo2bob6o5b4o2bo2b3o$b2obo2bo2b6obo3bo4b4ob
4o5b2obo$2b2o3b5ob3o2b2ob2o2bob3o2bob2o2bobobob2obobo$obobob2obob3obob
2o3b3o5bobo4bo3bob2obo2bo$b5ob2o2bo2bob2ob5o2bo2b2obob3ob2obobo2bobo$
3bo5bobob2ob2o3bo4bobob5obo3bobobo2bo$b3obob3ob3ob2o3b2o4b3o5b5o2bob3o
b3o$o4b4o2b7ob2obobob3obo5bob3o3bob2o$2bo4b3o2b5o4bo5b4obobo3bobobo2b
2o2bo$3o2bo4bo6b3o3b2o5bobob2o2bo2b4o2b2o$obo2bo5b2ob2obo3b3ob4o2b2o2b
4o2b3o2b2o$obo2bo5b2ob2obo3b3ob4o2b2o2b4o2b3o2b2o$3o2bo4bo6b3o3b2o5bob
ob2o2bo2b4o2b2o$2bo4b3o2b5o4bo5b4obobo3bobobo2b2o2bo$o4b4o2b7ob2obobob
3obo5bob3o3bob2o$b3obob3ob3ob2o3b2o4b3o5b5o2bob3ob3o$3bo5bobob2ob2o3bo
4bobob5obo3bobobo2bo$b5ob2o2bo2bob2ob5o2bo2b2obob3ob2obobo2bobo$obobob
2obob3obob2o3b3o5bobo4bo3bob2obo2bo$2b2o3b5ob3o2b2ob2o2bob3o2bob2o2bob
obob2obobo$b2obo2bo2b6obo3bo4b4ob4o5b2obo$2b2o2bobo4b3o2bo2bob6o5b4o2b
o2b3o$2ob2obo2bobo5b3obo7b2ob3o2bo2bo2b2o2b2o$ob5obo4b2o3bo2bobobobo2b
2obo2bo2bo4b3o$4b3o5bobobo3bob2obo3b4ob2obo4bo3bo2bo$obo3b2obo5b2obob
2ob4obob7o4b3obob3o$bo7b3o3bobobobo2b2o2bob3ob4ob3obobo2bo$2b2o2bobobo
2b3o11b2o2b3obob2o3bob2ob3o$3bobo4b2o3bo3b2ob2ob5ob2o2bo2bo2b3ob4o$2bo
4b6obo2b2ob2ob5obobobobo2bo2bobo2b2o$obob2o3bo4bo4bob2ob3obo4bobo3bo3b
ob4o$2bob8o9b2o2bob2o2bo6b2o2bob2ob3o$3ob4o2b4obo3b3o4bobobo3b2o5bobob
obobo$bo3bobobobo2bob3obo2b2o2b3o3bob2o2bo4b4o$o2bobob4obo5bobo3bo2bo
2bob2o3bo3b2ob6o$obo3bo2b2o4b3o2b2ob2obobo3bobo4bo2bob2obobo$2b2o8bob
4ob2o3b3o2b2obobobob2o3bo$5b4o3bob2ob4ob2ob4o5b2o4bobo3bobo$4bob2ob4ob
obo7bobo3bo2bo3bobob4obo2bo$o2b5o3bo4bo2bo2b3o4b2o2b4ob3o3b5o$bo2b5o2b
4ob3ob2o6b2ob7ob2o6bo$3o2bo2b4obob2o3b2ob5o3b2ob3obo3bo$6o3b4ob2o3b3ob
ob7ob2ob2o4b2ob5o$bob2o2bob2o8b3o4b4ob3o3b5ob2obo2bo$3ob5ob6ob2ob2obo
2b2o3bo3bo4bo3bob2o$2b2o2bo4b9o2b2obobo5bo3bobo4b2o2bo$bob2ob2ob2o4bob
obobo2bobo2b2ob2o2b4obobo3b2o$o2bo4bo3bo2bo4bob2o2b4obobo2bo3b2obo3bo$
ob2o2b2ob2ob2o6bobob3ob3o2bo2bob2obob4o$bobobob3o4b2ob2o2bo2b5obob2o2b
4obob2ob2o$3b2obo3b2o2bo3bobo2bo3b2ob2o2bob2o2b4obo$2o3b5ob3o4b2obob3o
b2o4bo2b2obob2o2b4o$3b2o2bob2o2bobo3bob8o3bobo3b2ob2ob4o$2obobo3b2o2b
3obo3b2obobo4bobob2ob3obob4obo$2obobo2b4o2bo4b3o4b3o2bob4ob4o4bob2o$ob
4o2b3o2b2o4b5o3bo2b3o2bob2obob2o4bo$2o3b2o2bobob3o2b3o4b3ob3ob6ob2o2b
4o$5o4bo2bo2bobo3bob2obob2ob7o4b2ob2ob2o$2o2bobo4b2o4b3ob2ob3ob5o2b3o
2b5o3bo$b2o2bo2bobobo3b4o3b2o2b2o4bobobobo3b3ob3o$2bob3ob5obo4bo3bo2bo
b2o4b4ob2o2bobobobo!

Code: Select all

x = 50, y = 99, rule = B2c3-ej/S23
2bob3ob5obo4bo3bo2bob2o4b4ob2o2bobobobo$b2o2bo2bobobo3b4o3b2o2b2o4bobo
bobo3b3ob3o$2o2bobo4b2o4b3ob2ob3ob5o2b3o2b5o3bo$5o4bo2bo2bobo3bob2obob
2ob7o4b2ob2ob2o$2o3b2o2bobob3o2b3o4b3ob3ob6ob2o2b4o$ob4o2b3o2b2o4b5o3b
o2b3o2bob2obob2o4bo$2obobo2b4o2bo4b3o4b3o2bob4ob4o4bob2o$2obobo3b2o2b
3obo3b2obobo4bobob2ob3obob4obo$3b2o2bob2o2bobo3bob8o3bobo3b2ob2ob4o$2o
3b5ob3o4b2obob3ob2o4bo2b2obob2o2b4o$3b2obo3b2o2bo3bobo2bo3b2ob2o2bob2o
2b4obo$bobobob3o4b2ob2o2bo2b5obob2o2b4obob2ob2o$ob2o2b2ob2ob2o6bobob3o
b3o2bo2bob2obob4o$o2bo4bo3bo2bo4bob2o2b4obobo2bo3b2obo3bo$bob2ob2ob2o
4bobobobo2bobo2b2ob2o2b4obobo3b2o$2b2o2bo4b9o2b2obobo5bo3bobo4b2o2bo$
3ob5ob6ob2ob2obo2b2o3bo3bo4bo3bob2o$bob2o2bob2o8b3o4b4ob3o3b5ob2obo2bo
$6o3b4ob2o3b3obob7ob2ob2o4b2ob5o$3o2bo2b4obob2o3b2ob5o3b2ob3obo3bo$bo
2b5o2b4ob3ob2o6b2ob7ob2o6bo$o2b5o3bo4bo2bo2b3o4b2o2b4ob3o3b5o$4bob2ob
4obobo7bobo3bo2bo3bobob4obo2bo$5b4o3bob2ob4ob2ob4o5b2o4bobo3bobo$2b2o
8bob4ob2o3b3o2b2obobobob2o3bo$obo3bo2b2o4b3o2b2ob2obobo3bobo4bo2bob2ob
obo$o2bobob4obo5bobo3bo2bo2bob2o3bo3b2ob6o$bo3bobobobo2bob3obo2b2o2b3o
3bob2o2bo4b4o$3ob4o2b4obo3b3o4bobobo3b2o5bobobobobo$2bob8o9b2o2bob2o2b
o6b2o2bob2ob3o$obob2o3bo4bo4bob2ob3obo4bobo3bo3bob4o$2bo4b6obo2b2ob2ob
5obobobobo2bo2bobo2b2o$3bobo4b2o3bo3b2ob2ob5ob2o2bo2bo2b3ob4o$2b2o2bob
obo2b3o11b2o2b3obob2o3bob2ob3o$bo7b3o3bobobobo2b2o2bob3ob4ob3obobo2bo$
obo3b2obo5b2obob2ob4obob7o4b3obob3o$4b3o5bobobo3bob2obo3b4ob2obo4bo3bo
2bo$ob5obo4b2o3bo2bobobobo2b2obo2bo2bo4b3o$2ob2obo2bobo5b3obo7b2ob3o2b
o2bo2b2o2b2o$2b2o2bobo4b3o2bo2bob6o5b4o2bo2b3o$b2obo2bo2b6obo3bo4b4ob
4o5b2obo$2b2o3b5ob3o2b2ob2o2bob3o2bob2o2bobobob2obobo$obobob2obob3obob
2o3b3o5bobo4bo3bob2obo2bo$b5ob2o2bo2bob2ob5o2bo2b2obob3ob2obobo2bobo$
3bo5bobob2ob2o3bo4bobob5obo3bobobo2bo$b3obob3ob3ob2o3b2o4b3o5b5o2bob3o
b3o$o4b4o2b7ob2obobob3obo5bob3o3bob2o$2bo4b3o2b5o4bo5b4obobo3bobobo2b
2o2bo$3o2bo4bo6b3o3b2o5bobob2o2bo2b4o2b2o$obo2bo5b2ob2obo3b3ob4o2b2o2b
4o2b3o2b2o$3o2bo4bo6b3o3b2o5bobob2o2bo2b4o2b2o$2bo4b3o2b5o4bo5b4obobo
3bobobo2b2o2bo$o4b4o2b7ob2obobob3obo5bob3o3bob2o$b3obob3ob3ob2o3b2o4b
3o5b5o2bob3ob3o$3bo5bobob2ob2o3bo4bobob5obo3bobobo2bo$b5ob2o2bo2bob2ob
5o2bo2b2obob3ob2obobo2bobo$obobob2obob3obob2o3b3o5bobo4bo3bob2obo2bo$
2b2o3b5ob3o2b2ob2o2bob3o2bob2o2bobobob2obobo$b2obo2bo2b6obo3bo4b4ob4o
5b2obo$2b2o2bobo4b3o2bo2bob6o5b4o2bo2b3o$2ob2obo2bobo5b3obo7b2ob3o2bo
2bo2b2o2b2o$ob5obo4b2o3bo2bobobobo2b2obo2bo2bo4b3o$4b3o5bobobo3bob2obo
3b4ob2obo4bo3bo2bo$obo3b2obo5b2obob2ob4obob7o4b3obob3o$bo7b3o3bobobobo
2b2o2bob3ob4ob3obobo2bo$2b2o2bobobo2b3o11b2o2b3obob2o3bob2ob3o$3bobo4b
2o3bo3b2ob2ob5ob2o2bo2bo2b3ob4o$2bo4b6obo2b2ob2ob5obobobobo2bo2bobo2b
2o$obob2o3bo4bo4bob2ob3obo4bobo3bo3bob4o$2bob8o9b2o2bob2o2bo6b2o2bob2o
b3o$3ob4o2b4obo3b3o4bobobo3b2o5bobobobobo$bo3bobobobo2bob3obo2b2o2b3o
3bob2o2bo4b4o$o2bobob4obo5bobo3bo2bo2bob2o3bo3b2ob6o$obo3bo2b2o4b3o2b
2ob2obobo3bobo4bo2bob2obobo$2b2o8bob4ob2o3b3o2b2obobobob2o3bo$5b4o3bob
2ob4ob2ob4o5b2o4bobo3bobo$4bob2ob4obobo7bobo3bo2bo3bobob4obo2bo$o2b5o
3bo4bo2bo2b3o4b2o2b4ob3o3b5o$bo2b5o2b4ob3ob2o6b2ob7ob2o6bo$3o2bo2b4obo
b2o3b2ob5o3b2ob3obo3bo$6o3b4ob2o3b3obob7ob2ob2o4b2ob5o$bob2o2bob2o8b3o
4b4ob3o3b5ob2obo2bo$3ob5ob6ob2ob2obo2b2o3bo3bo4bo3bob2o$2b2o2bo4b9o2b
2obobo5bo3bobo4b2o2bo$bob2ob2ob2o4bobobobo2bobo2b2ob2o2b4obobo3b2o$o2b
o4bo3bo2bo4bob2o2b4obobo2bo3b2obo3bo$ob2o2b2ob2ob2o6bobob3ob3o2bo2bob
2obob4o$bobobob3o4b2ob2o2bo2b5obob2o2b4obob2ob2o$3b2obo3b2o2bo3bobo2bo
3b2ob2o2bob2o2b4obo$2o3b5ob3o4b2obob3ob2o4bo2b2obob2o2b4o$3b2o2bob2o2b
obo3bob8o3bobo3b2ob2ob4o$2obobo3b2o2b3obo3b2obobo4bobob2ob3obob4obo$2o
bobo2b4o2bo4b3o4b3o2bob4ob4o4bob2o$ob4o2b3o2b2o4b5o3bo2b3o2bob2obob2o
4bo$2o3b2o2bobob3o2b3o4b3ob3ob6ob2o2b4o$5o4bo2bo2bobo3bob2obob2ob7o4b
2ob2ob2o$2o2bobo4b2o4b3ob2ob3ob5o2b3o2b5o3bo$b2o2bo2bobobo3b4o3b2o2b2o
4bobobobo3b3ob3o$2bob3ob5obo4bo3bo2bob2o4b4ob2o2bobobobo!
Only D2_+1-symmetric explodes, even though this doesn't seem like a rule that would do that.
\100\97\110\105

Jackk
Posts: 80
Joined: March 13th, 2012, 3:49 pm

Re: Observation on chaotic growth

Post by Jackk » July 10th, 2017, 7:51 pm

In fact it's still explosive, if just barely, without symmetry. You just have to start big enough:

Code: Select all

x = 304, y = 201, rule = B2c3-ej/S23
163bo$162bobo$161bobobo$160bo3bobo$163bo3bo$162bobobobo$165bobo$164bob
o$140bo2$140bo4$215b2o$155bo17bobo39b2o$146bo7bobo25b2o23bo$128bo18bo
7bobo17bo6b2o22bobo$127bobo16bobo7bo50bo$126bobo3bo14bo$127bo3bobo81bo
$126bo5bo20bo60bobo$152bobo58bobobo5bobo$151bobobo58bo3bo7bo$150bo3bob
o58bobob3o3bobo$112bo12bobo21bobobo3bo58bo2bo2bo3bo$110b2obo36bo3bobo
53bo4bo5b2o$109bo2bobo36bobobo54b2o4bo2bo4b2obo2bo$110b2o3bo36bobo42b
2o12bo14bob2obo$112bobo38bo42bo2bo12b2o3bo9bobo2bo$113bo83b2obo11b2o2b
o5b2o4bob2o$187bobo9bo9b2ob2o3bo2bo5b2o2bobo$118bo81bo2bo4bo6bo3bobo7b
o$96bo26bo42bo18bo3bo7bobo4b2obob3o4bo10b2obobo$95bobo20bo46bobo16bobo
14bo2bob2o8b2o7bo3bo$94bobobo24bo40bobobo16bobo7bobo4bo2bob2o5bo5bo6b
2obobo$95bobobo20bobo40bo3bo18bobo5bo3bobob2o5bo3bo3bo2b2o7bobo$78bo
17bobo37bo4bo4bo17bobo18bo3bo3bobobobob3o6bo3bobo3b2o7b2obo$77bobo17bo
5bo16bo14bobo2bobo2bobo17bo18b2o3bo4bobo3bo8bobo3bobobobobobo2b2obo$
76bo3bo53bobob2o3b2obo32bobobo4bo4bobobobo2bobo7bobobo5bo4b2o$75bobobo
bo10bobo8bobo27bo6bobo2bo32bobobobo3bo5bobobo2bo3bobobobo5bo7b3obo$76b
obo9bobobo5bo2bo3b2o25bobo3bo2bo35bo2bo8bo3bobo3bob2o3bo7bobobobobobo
2bobo$73bo3bo9bobo8bo2bo3bobo5bobo17bo2b2o43bo2bo3bo5bo3bo3bob2o5bobob
obobobobobo3bo$86bobobo6bo4b2ob2obo3bo4bo16bo2b2o38bobo3bo9bo8bo5bobob
obobobobobobo3b3o$71b2ob2o9bo3bo8b4o3bobo3bobo60bo3bobobo3b3obo5b2ob3o
b2obo4bo3bo9bobo$70b2ob2o9bobobobo11b5obobo7b2o53bo2b2ob2o2bobo6bobo2b
6o2bo4bo2b2o11bobo$69b3obo11bobobobo7b3obobobobobobobo2bo37bobo13bobo
3b2obo11b2obo2b3o4bobo4bobobo9bo$68bo4bo3bobo6bobobo7bo3b2o2bobobobob
3obo17b3o15bobo15bo3bo3bo6b2o4b5obobobo2b2obobo4bobobo$66b2obob2o4b4o
18bobo3bo3bobob5obo2bo31b2o15bo7bobo15bo6bo2bo2b2o2bo4bo$66bo5bo2b2o4b
o14bo2b6obobobo3b2obobobo16bo39bobo10b2ob2o4bo3bobo2bobo4bobobo21bo$
67bo5bob2o2b3o14b3obob2o3bo6bo5bobo45bob2o7bo4bo4bobo3bobo3bo8bobob2ob
obo21bobo$58b2o8bo3bo2b4obo14bo6bo5bobo2bo4bobo5bo41bobo8bo3bobo2bo2bo
bo2b2o4bobo6bob2o6b2o14bob2obobobo$57bobo8bo6b2o27b2o4bo3bo6bo5bo40b3o
2b2o5bo14b2o3b2o10bo4bobobo16bobobo2bobo$58bo10bobob2o2b2obo28bobobobo
2bo3bo3bobo44bo5bob2obo4b3o5bo2bo10b2o4b2o4b4o10bobob2obobobo$68bobo2b
ob2o2b2o16bo5bo6bo6bobobobobo3bo43bo9bo5b2ob2o4bobo2bo2bo3bobo4b4ob3o
2bo10b2o3bobobobo$69bob3obob3o18bo4bo2bo3bobobo3bobobo3bobo45bobo11bob
obobo5bobob2o3bobo4b3o5bo2bobobo7bob2obo3bobo$68bobobo3b2o27b3obobobob
obobo3bobobo43bo3bobo9bobobo15b2o2bob2o2bo2bo4b2o10bo4bo6bobo$44bobo
25bob2obo19b2o5bo3bo7bobobo46bo2bobobobo6bob2ob2o3bo6b2o5b2ob5o3b2obo
19bo6b2o2bo$43bobo22b4obo2bobo24bo3bo2b2o5bo15bo35bo3bobobo9bo6bo4bo3b
3ob2o3bo4b2obobo18bo2b4obob2o$44bo16bo10bobo2bo18bo2bo4b2o2bo5bobo15bo
bo30b2o3bo3bobo11bo11bo2b2o9bobo2bo17bobobo2b2o2bobo$43bo17bo6b2obob2o
bo4bo8bobo4b2obob3obo3b4obob2o14bo25bo11bo3bo12bo11b2o3bo3bo2bob2obobo
18bo5bo2bobo$58b2o2bo5bo3b2o3b2obo13bo4b5obob3obo5bobo22bo20bob4o5bobo
13b2o3bo9bo2bo3bobobobobo16bob4o6b2o$57bob2o5bo4bo2bob2obo3bo11bobo4bo
bo12bo18bo4bobo15bo11bo3bo13b2o2b2o7bo2bo3bobobobobobo18bo5bo3b2obo4bo
$56bo5b2o9bo7b2o3bobo7bobo3b2o4bob4ob2o4bo6bo13bo23bo3bo2b2o18b2o5bo4b
o4bobobo3bo20b2o$56bo2bob2obobo3bobob2obo3b2o12bobo4b2o3bobobo3b2o3b2o
7bo6bo28bobobo4bo14bobobo2b2o4b2o3bobobo3bobo15bo5bobob2o5bo5bobo$47bo
bo9b3o13bo10bo5b2o5b3o3bobob2o4bobo2bo7bobo35bobobobobo17bo3bobo2bobo
4bo3bobobo15bo2bo4bo2bo2bo2bobo2bo10bo$48bobo6b2obo8bo4b2obo16bo3b3o3b
obo10bo9bo3bo35bo7bobobo22bo2bobo3bobobo15bo10b2obob2obo3b3o4bo2bobo$
47bo4bo3bo2bob2obo9bo3b2o2bo11bo2bo4b2o5bob2o3bobo9bo3bo38b4obob4o15bo
b3obo2bo3bo3bo16bo4bo5b2o2bob2o5bob6o2bobo$46bo6bobob2obobob4o5bobobo
5b2o11bob3o10b2o4bo9bobo39b2obobo6bo13bo2bobobo8bobo18bo4bo5b3obobo5b
2o3bo2bo5bo$43bobobo7b2o2bobo2b3o6b2obobob3o19b2o4b3obo10bobo2bobo22b
2o15b2o3bo2bob2o9bobo5bobob2o7bo19bobobo9bob5o2bo2bo2bob2obo$44bo3bobo
b2o2bo3b2o8bob4o3bobo15bobobo2bo3b2obo10b3ob2o24bo2bo16bo2bo3bo5bobo2b
o4bo2bobo2bob2o25b2obo11b2o2b2o2b2obobo4bobo2bo$45bobo3bo3bo5bo9b2obo
23bo2bo9bo9bo3bo2bo24b2o21b3o5bobobo5bob2o4bo4bo26bo2bobo8bobo2bobo5b
2o3bo2bobo$46bobo5bo8bo8b2o9bobob3o7bobo8b3o4bo6b2obo44bo12bo3bo6b4o5b
o2b2obo20bobobobobobo8bob3o2bo2bobobobo4bobo$47bo3bobo8bo15bobobo3bobo
bo5bo3b2o5b2o2bo12bo16bo34bo4b2obobob2ob3o2bobo6b2obo24bo5bobo6bo4b2o
2bo4bobo4bo3bo$48bobobo24bobo3bobobobo5bo3b2o2bo8bo27bobo31b2obo2bo3bo
b4ob3o9bobobo20bobobobo7bo8bobo3bo2b2obo$49bobo26bo3b3o2bob2o5bo5bobob
obobobobo24bo3bo30bo7b2o4b2o2b3o32bobob2o6bobo6b2o8b2o5bob2o3bo$50bo
18bo9bo2bo2bobobo2bo2bobo2bo2bo4b2ob4o3bobo17bobobo30bo3bobo5b2o2b2ob
2o25bo6bobo5bo5bo5bo4bo3b2o7bo3bo4bo$35b2o43bob3o4bo3b3o6bobo12bobobo
17bobo32bo2bo7bo2bobob3o6b3obobo10bobo4bo4bo4bo3bo9bo3bob2o6bobob2o$
21bo12bo2bo21bo7bobo11bob3obob3obo8bobobo11bobobo15b2o22b3o9b2ob5o7bob
o5bob2o3bobo10bo3bo4bo7bo3bo6bo6bobo7bo3bo2bo5bo$33bob2o8bo12bobo7bo
13bobo3bo3bo24bo5bo16bo35bobobo17bo2bobobo10bobobo4bobo6b2obo6bo5bo9bo
2bobo3bob2obo4bo$21bo10bobo9bobo12bobo5bobo15b2ob2obobo24bobo3bo16bo
10bo14bo9bobobo6bobo6bob2obobo10bo12bo4bo11bob3ob3o12bo3bo4bo2bobo$31b
obo9b2o2bo3b2o7bo7bobo14b2o3bobo8bo12bobo8bo10bobobo10bob2o24bobo2bob
3obobo5bobo10bo4bo5bo6b3o2b2o10bo3bo2bo6bo2bo4b2obo5bo3bo$29b3obo8bo2b
o2bobo2bo15bo10bo8bobobo6bobo10bo2bo3bo3bobo5bobob2obo10bobo14bo10bo3b
o3bo2bobobobobobo3b3o9bo7bo2bobobo2bo2bo4b2o6bo2bo10b3o3b2obobobobobob
o$29b2obobo6bo3b3ob2obo26bobo7bob2o7bo11bobo5b2o3bo6b3o3bo12bo25bo3bo
4bobo3bo5bobo2b2obobo2bobo2bo5bo4bo2bobobobo12b2o16b2obobo4bobobo$25b
2o3bob2o5b2obo2b2obo5bo2bo22bo7bob3o10bo7bo3bobobo4bo7b3o16bo28bo4bobo
bo9bo2bo4bo5bobobobo3bo2bob2obob3obo6bo4bo5bo7b2obob2ob3o2bobo3bobo$
32bo7b2o2bo4bo3bo2bob2o29b2o6b2obobobo5bobob3o2bo2b2o8bobo3bo11bobo2bo
21bobo4bobo3bo7bo4b2o13b2o2bo6b2o2bo7bob2o2bo3b2obobo6b2obo3b3o2bo2bo$
13bo3bobo7bob3obo7bob2o2b2o10bo33bo3bob3obo6b2o2bo6b2o28bobo16b2o11bob
obobobo7bo3b3obo17b2obo2bo9bo3bobo6b2o9bobo8b3o$17bobo6b2o4bobo3bob2o
3b2o2b2obobob2o2bo18bobo3bo12bo2bob2o4bob2o2bo6bo6bo8bo6bobo2bob2o16b
2o16bobo5bobo2b2obobobobo8bobo4bobo5bo5b2ob2o2bo4b2o13bo2bo2bobob2obo$
11bobob2o2b2o9b2o5bo4bob2ob4obobo6bo17bob2obobo4b2o5bobo2bo4bo3bo3b2ob
obo2b2o2bo21bobo16bobo4bo8b2o2bobobobo4bo2bobo14bo3b2o2b2obobo6b2o3bob
o2bob2o3bob2o2bob5obo2bo3b2o$14b2obo9bo4bo2b2obo3b2ob2o5bo2bo2bob2o20b
2o3bo5bo5bo2b2o3bo3bo8bob4o23bobo18bob2ob3o6bob3obo5bobob2obobo6bo6bob
obobo6bo4bobobo6b2o4bobo4b2o5bo6b3o$11bobo3b2o8bo2b3o2b2obob2ob4obo3bo
bo2bo20b2o2bo3bo4bo2bobobobo5b3obob2o2bo2bobobo6bobo8b3o33bo17bobobo3b
o14bobo8b3o4bo3bo6bo4bobo2bo16b2obo$12bo2bob2o8bo5b3o2bob4o4bo3bob2o3b
2o2bo12bo4bobobob2obobo2bo3bobo5b3obo2b2ob2obo20b2o18bo8bo4b2ob2o4bo
11bobo5bobobo3bo6bobo6b3o4bo2bo3bo3bo12bob2o5bo5bobo$10bob2o3bo15b4o4b
2ob3o4bo6bo3bobo14bob2o3b2o3bo8b2ob2obo3bo3bo4bo11bob2o5bo4bo8bobo17bo
bo12bo5bo7bo16b3o3b2obo6bobobobo4bo2bobo7bo6bobo3bo5bo9bo$7bobo4bo13bo
3bo3bobo2bo2bo9bo5b2ob3o12bo8bo12bobob3o2bobo3bo2bo3b2o7b3o5bo3b2obo
14bobo6b3o2bob2obo8b3o7bob3o4bo3bo7bob2o2b2ob2obobobobo7bobobo6b3o5bo
2bo5bobo3bo7bobo$8bob2o3bo12bo3bo2b2obobo5bo3bo3bobob2o3bo15bo4bo3bo2b
obobobobo4bo3bo3bo2bo3bobo2bo4b2o5bo3bobo2bobo23bo4bo2bobo7b3o6b2ob3o
5bobo9b2o4bob2o2bobo9bobobo6bo2bo2b6obo3bobobo11bobo$7bob3o16bob2obo2b
ob2o6bo5bo2bob2obo4bobo17bobobobo2bobobobo8bobo17bo3bobo3bob3o4bo12bo
3bo5bo6bo3bo3b4o2bo4bobo2bo2bo2bo4bo6b3o6b2ob2o11b3ob2o3b2ob3obo4bobo
3bo3b2obob2o$4bobobo2bobo2bo7bo2bobo3bo2bob2o5bo2bo2bob3o3bo2bo3bo19bo
bo2bobo5b2o9b2o3bo3bobo2bobo7bob2o2bobob7o11bobo5bobo6bobo5b2obo5bo3b
2obo2bo4bo2bo4bo10bo3bo3bo2bob2o3bob2obo6bo3b2obo7bo2bobob2o$3bobo5b2o
2bobo5bob2obobo2b2o5bobo5b3obobo2bo7bobo2bobo12b3obo8bobobo2bobo17bobo
bo2bo6bobo6b2obo9bobo5bobob2obo3b2o3b2o4b2o4bobo5bo2b2o10bobo6bobo5b2o
10bob2o3bobo2bo2b3o3bobobo$2bobo7bobobobo4bo3bobo3bob2ob2obo6bo6bobo3b
obob2o19bo4bobobobobo6bo4bobo3bo8bobobob2o2bobobobo3bo4bo17bobobo7bo3b
obo4b2o3bo3bo6b3o2b2obobo2b4o5bo2bo15b4obob2o2bo4b2o10bo7bo$bo3bo3bobo
bobobobo2b2ob2obo3bo4bobob2o5b5o9b4obo2bo3bo2bo10bo3bobo3b4obobo8bo2bo
8bob3o3bob2obobo4bob2o2bo15b3o3bobo7b2o4b2o4bo2bobo6b2ob2o2b3o4b3o4bo
3b2o12b2o2bo5bobobo6b3obo3bo3bo2b2obo15bo$obobo7bobobobob2o5bobobobobo
4b4obobo11bobo3bo5bobo2bobo9bo2bobobo8bobo4bo3b2obo6bo4bobo2bobo4bobo
5bo16bo2b4o7bob3obo6bo2bo7bobo5b2o6b2o2bo4bo8bo6bo2b2o3bo5bo3bo6bobo3b
o3b2o4bo13bobo$bo3bo3bobobobobobo2b2ob2obo3bo4bobob2o5b5o9b4obo2bo3bo
2bo10bo3bobo3b4obobo8bo2bo8bob3o3bob2obobo4bob2o2bo15b3o3bobo7b2o4b2o
4bo2bobo6b2ob2o2b3o4b3o4bo3b2o12b2o2bo5bobobo6b3obo3bo3bo2b2obo15bo$2b
obo7bobobobo4bo3bobo3bob2ob2obo6bo6bobo3bobob2o19bo4bobobobobo6bo4bobo
3bo8bobobob2o2bobobobo3bo4bo17bobobo7bo3bobo4b2o3bo3bo6b3o2b2obobo2b4o
5bo2bo15b4obob2o2bo4b2o10bo7bo$3bobo5b2o2bobo5bob2obobo2b2o5bobo5b3obo
bo2bo7bobo2bobo12b3obo8bobobo2bobo17bobobo2bo6bobo6b2obo9bobo5bobob2ob
o3b2o3b2o4b2o4bobo5bo2b2o10bobo6bobo5b2o10bob2o3bobo2bo2b3o3bobobo$4bo
bobo2bobo2bo7bo2bobo3bo2bob2o5bo2bo2bob3o3bo2bo3bo19bobo2bobo5b2o9b2o
3bo3bobo2bobo7bob2o2bobob7o11bobo5bobo6bobo5b2obo5bo3b2obo2bo4bo2bo4bo
10bo3bo3bo2bob2o3bob2obo6bo3b2obo7bo2bobob2o$7bob3o16bob2obo2bob2o6bo
5bo2bob2obo4bobo17bobobobo2bobobobo8bobo17bo3bobo3bob3o4bo12bo3bo5bo6b
o3bo3b4o2bo4bobo2bo2bo2bo4bo6b3o6b2ob2o11b3ob2o3b2ob3obo4bobo3bo3b2obo
b2o$8bob2o3bo12bo3bo2b2obobo5bo3bo3bobob2o3bo15bo4bo3bo2bobobobobo4bo
3bo3bo2bo3bobo2bo4b2o5bo3bobo2bobo23bo4bo2bobo7b3o6b2ob3o5bobo9b2o4bob
2o2bobo9bobobo6bo2bo2b6obo3bobobo11bobo$7bobo4bo13bo3bo3bobo2bo2bo9bo
5b2ob3o12bo8bo12bobob3o2bobo3bo2bo3b2o7b3o5bo3b2obo14bobo6b3o2bob2obo
8b3o7bob3o4bo3bo7bob2o2b2ob2obobobobo7bobobo6b3o5bo2bo5bobo3bo7bobo$
10bob2o3bo15b4o4b2ob3o4bo6bo3bobo14bob2o3b2o3bo8b2ob2obo3bo3bo4bo11bob
2o5bo4bo8bobo17bobo12bo5bo7bo16b3o3b2obo6bobobobo4bo2bobo7bo6bobo3bo5b
o9bo$12bo2bob2o8bo5b3o2bob4o4bo3bob2o3b2o2bo12bo4bobobob2obobo2bo3bobo
5b3obo2b2ob2obo20b2o18bo8bo4b2ob2o4bo11bobo5bobobo3bo6bobo6b3o4bo2bo3b
o3bo12bob2o5bo5bobo$11bobo3b2o8bo2b3o2b2obob2ob4obo3bobo2bo20b2o2bo3bo
4bo2bobobobo5b3obob2o2bo2bobobo6bobo8b3o33bo17bobobo3bo14bobo8b3o4bo3b
o6bo4bobo2bo16b2obo$14b2obo9bo4bo2b2obo3b2ob2o5bo2bo2bob2o20b2o3bo5bo
5bo2b2o3bo3bo8bob4o23bobo18bob2ob3o6bob3obo5bobob2obobo6bo6bobobobo6bo
4bobobo6b2o4bobo4b2o5bo6b3o$11bobob2o2b2o9b2o5bo4bob2ob4obobo6bo17bob
2obobo4b2o5bobo2bo4bo3bo3b2obobo2b2o2bo21bobo16bobo4bo8b2o2bobobobo4bo
2bobo14bo3b2o2b2obobo6b2o3bobo2bob2o3bob2o2bob5obo2bo3b2o$17bobo6b2o4b
obo3bob2o3b2o2b2obobob2o2bo18bobo3bo12bo2bob2o4bob2o2bo6bo6bo8bo6bobo
2bob2o16b2o16bobo5bobo2b2obobobobo8bobo4bobo5bo5b2ob2o2bo4b2o13bo2bo2b
obob2obo$13bo3bobo7bob3obo7bob2o2b2o10bo33bo3bob3obo6b2o2bo6b2o28bobo
16b2o11bobobobobo7bo3b3obo17b2obo2bo9bo3bobo6b2o9bobo8b3o$32bo7b2o2bo
4bo3bo2bob2o29b2o6b2obobobo5bobob3o2bo2b2o8bobo3bo11bobo2bo21bobo4bobo
3bo7bo4b2o13b2o2bo6b2o2bo7bob2o2bo3b2obobo6b2obo3b3o2bo2bo$25b2o3bob2o
5b2obo2b2obo5bo2bo22bo7bob3o10bo7bo3bobobo4bo7b3o16bo28bo4bobobo9bo2bo
4bo5bobobobo3bo2bob2obob3obo6bo4bo5bo7b2obob2ob3o2bobo3bobo$29b2obobo
6bo3b3ob2obo26bobo7bob2o7bo11bobo5b2o3bo6b3o3bo12bo25bo3bo4bobo3bo5bob
o2b2obobo2bobo2bo5bo4bo2bobobobo12b2o16b2obobo4bobobo$29b3obo8bo2bo2bo
bo2bo15bo10bo8bobobo6bobo10bo2bo3bo3bobo5bobob2obo10bobo14bo10bo3bo3bo
2bobobobobobo3b3o9bo7bo2bobobo2bo2bo4b2o6bo2bo10b3o3b2obobobobobobo$
31bobo9b2o2bo3b2o7bo7bobo14b2o3bobo8bo12bobo8bo10bobobo10bob2o24bobo2b
ob3obobo5bobo10bo4bo5bo6b3o2b2o10bo3bo2bo6bo2bo4b2obo5bo3bo$21bo10bobo
9bobo12bobo5bobo15b2ob2obobo24bobo3bo16bo10bo14bo9bobobo6bobo6bob2obob
o10bo12bo4bo11bob3ob3o12bo3bo4bo2bobo$33bob2o8bo12bobo7bo13bobo3bo3bo
24bo5bo16bo35bobobo17bo2bobobo10bobobo4bobo6b2obo6bo5bo9bo2bobo3bob2ob
o4bo$21bo12bo2bo21bo7bobo11bob3obob3obo8bobobo11bobobo15b2o22b3o9b2ob
5o7bobo5bob2o3bobo10bo3bo4bo7bo3bo6bo6bobo7bo3bo2bo5bo$35b2o43bob3o4bo
3b3o6bobo12bobobo17bobo32bo2bo7bo2bobob3o6b3obobo10bobo4bo4bo4bo3bo9bo
3bob2o6bobob2o$50bo18bo9bo2bo2bobobo2bo2bobo2bo2bo4b2ob4o3bobo17bobobo
30bo3bobo5b2o2b2ob2o25bo6bobo5bo5bo5bo4bo3b2o7bo3bo4bo$49bobo26bo3b3o
2bob2o5bo5bobobobobobobo24bo3bo30bo7b2o4b2o2b3o32bobob2o6bobo6b2o8b2o
5bob2o3bo$48bobobo24bobo3bobobobo5bo3b2o2bo8bo27bobo31b2obo2bo3bob4ob
3o9bobobo20bobobobo7bo8bobo3bo2b2obo$47bo3bobo8bo15bobobo3bobobo5bo3b
2o5b2o2bo12bo16bo34bo4b2obobob2ob3o2bobo6b2obo24bo5bobo6bo4b2o2bo4bobo
4bo3bo$46bobo5bo8bo8b2o9bobob3o7bobo8b3o4bo6b2obo44bo12bo3bo6b4o5bo2b
2obo20bobobobobobo8bob3o2bo2bobobobo4bobo$45bobo3bo3bo5bo9b2obo23bo2bo
9bo9bo3bo2bo24b2o21b3o5bobobo5bob2o4bo4bo26bo2bobo8bobo2bobo5b2o3bo2bo
bo$44bo3bobob2o2bo3b2o8bob4o3bobo15bobobo2bo3b2obo10b3ob2o24bo2bo16bo
2bo3bo5bobo2bo4bo2bobo2bob2o25b2obo11b2o2b2o2b2obobo4bobo2bo$43bobobo
7b2o2bobo2b3o6b2obobob3o19b2o4b3obo10bobo2bobo22b2o15b2o3bo2bob2o9bobo
5bobob2o7bo19bobobo9bob5o2bo2bo2bob2obo$46bo6bobob2obobob4o5bobobo5b2o
11bob3o10b2o4bo9bobo39b2obobo6bo13bo2bobobo8bobo18bo4bo5b3obobo5b2o3bo
2bo5bo$47bo4bo3bo2bob2obo9bo3b2o2bo11bo2bo4b2o5bob2o3bobo9bo3bo38b4obo
b4o15bob3obo2bo3bo3bo16bo4bo5b2o2bob2o5bob6o2bobo$48bobo6b2obo8bo4b2ob
o16bo3b3o3bobo10bo9bo3bo35bo7bobobo22bo2bobo3bobobo15bo10b2obob2obo3b
3o4bo2bobo$47bobo9b3o13bo10bo5b2o5b3o3bobob2o4bobo2bo7bobo35bobobobobo
17bo3bobo2bobo4bo3bobobo15bo2bo4bo2bo2bo2bobo2bo10bo$56bo2bob2obobo3bo
bob2obo3b2o12bobo4b2o3bobobo3b2o3b2o7bo6bo28bobobo4bo14bobobo2b2o4b2o
3bobobo3bobo15bo5bobob2o5bo5bobo$56bo5b2o9bo7b2o3bobo7bobo3b2o4bob4ob
2o4bo6bo13bo23bo3bo2b2o18b2o5bo4bo4bobobo3bo20b2o$57bob2o5bo4bo2bob2ob
o3bo11bobo4bobo12bo18bo4bobo15bo11bo3bo13b2o2b2o7bo2bo3bobobobobobo18b
o5bo3b2obo4bo$58b2o2bo5bo3b2o3b2obo13bo4b5obob3obo5bobo22bo20bob4o5bob
o13b2o3bo9bo2bo3bobobobobo16bob4o6b2o$43bo17bo6b2obob2obo4bo8bobo4b2ob
ob3obo3b4obob2o14bo25bo11bo3bo12bo11b2o3bo3bo2bob2obobo18bo5bo2bobo$
44bo16bo10bobo2bo18bo2bo4b2o2bo5bobo15bobo30b2o3bo3bobo11bo11bo2b2o9bo
bo2bo17bobobo2b2o2bobo$43bobo22b4obo2bobo24bo3bo2b2o5bo15bo35bo3bobobo
9bo6bo4bo3b3ob2o3bo4b2obobo18bo2b4obob2o$44bobo25bob2obo19b2o5bo3bo7bo
bobo46bo2bobobobo6bob2ob2o3bo6b2o5b2ob5o3b2obo19bo6b2o2bo$68bobobo3b2o
2bo24b3obobobobobobo3bobobo43bo3bobo9bobobo15b2o2bob2o2bo2bo4b2o10bo4b
o6bobo$69bob3obob3o18bo4bo2bo3bobobo3bobobo3bobo45bobo11bobobobo5bobob
2o3bobo4b3o5bo2bobobo7bob2obo3bobo$68bobo2bob2o2b2o16bo5bo6bo6bobobobo
bo3bo43bo9bo5b2ob2o4bobo2bo2bo3bobo4b4ob3o2bo10b2o3bobobobo$58bo10bobo
b2o2b2obo28bobobobo2bo3bo3bobo44bo5bob2obo4b3o5bo2bo10b2o4b2o4b4o10bob
ob2obobobo$57bobo8bo6b2o27b2o4bo3bo6bo5bo40b3o2b2o5bo14b2o3b2o10bo4bob
obo16bobobo2bobo$58b2o8bo3bo2b4obo14bo6bo5bobo2bo4bobo5bo41bobo8bo3bob
o2bo2bobo2b2o4bobo6bob2o6b2o14bob2obobobo$67bo5bob2o2b3o14b3obob2o3bo
6bo5bobo45bob2o7bo4bo4bobo3bobo3bo8bobob2obobo21bobo$66bo5bo2b2o4bo14b
o2b6obobobo3b2obobobo16bo39bobo10b2ob2o4bo3bobo2bobo4bobobo21bo$66b2ob
ob2o4b4o18bobo3bo3bobob5obo2bo31b2o15bo7bobo15bo6bo2bo2b2o2bo4bo$68bo
4bo3bobo6bobobo7bo3b2o2bobobobob3obo17b3o15bobo15bo3bo3bo6b2o4b5obobob
o2b2obobo4bobobo$69b3obo11bobobobo7b3obobobobobobobo2bo37bobo13bobo3b
2obo11b2obo2b3o4bobo4bobobo9bo$70b2ob2o9bobobobo11b5obobo7b2o53bo2b2ob
2o2bobo6bobo2b6o2bo4bo2b2o11bobo$71b2ob2o9bo3bo8b4o3bobo3bobo60bo3bobo
bo3b3obo5b2ob3ob2obo4bo3bo9bobo$86bobobo6bo4b2ob2obo3bo4bo16bo2b2o38bo
bo3bo9bo8bo5bobobobobobobobobo3b3o$73bo3bo9bobo8bo2bo3bobo5bobo17bo2b
2o43bo2bo3bo5bo3bo3bob2o5bobobobobobobobo3bo$76bobo9bobobo5bo2bo3b2o
25bobo3bo2bo35bo2bo8bo3bobo3bob2o3bo7bobobobobobo2bobo$75bobobobo10bob
o8bobo27bo6bobo2bo32bobobobo3bo5bobobo2bo3bobobobo5bo7b3obo$76bo3bo53b
obob2o3b2obo32bobobo4bo4bobobobo2bobo7bobobo5bo4b2o$77bobo17bo5bo16bo
14bobo2bobo2bobo17bo18b2o3bo4bobo3bo8bobo3bobobobobobo2b2obo$78bo17bob
o37bo4bo4bo17bobo18bo3bo3bobobobob3o6bo3bobo3b2o7b2obo$95bobobo20bobo
40bo3bo18bobo5bo3bobob2o5bo3bo3bo2b2o7bobo$94bobobo24bo40bobobo16bobo
7bobo4bo2bob2o5bo5bo6b2obobo$95bobo20bo46bobo16bobo14bo2bob2o8b2o7bo3b
o$96bo26bo42bo18bo3bo7bobo4b2obob3o4bo10b2obobo$118bo81bo2bo4bo6bo3bob
o7bo$187bobo9bo9b2ob2o3bo2bo5b2o2bobo$113bo83b2obo11b2o2bo5b2o4bob2o$
112bobo38bo42bo2bo12b2o3bo9bobo2bo$110b2o3bo36bobo42b2o12bo14bob2obo$
109bo2bobo36bobobo54b2o4bo2bo4b2obo2bo$110b2obo36bo3bobo53bo4bo5b2o$
112bo12bobo21bobobo3bo58bo2bo2bo3bo$150bo3bobo58bobob3o3bobo$151bobobo
58bo3bo7bo$152bobo58bobobo5bobo$126bo5bo20bo60bobo$127bo3bobo81bo$126b
obo3bo14bo$127bobo16bobo7bo50bo$128bo18bo7bobo17bo6b2o22bobo$146bo7bob
o25b2o23bo$155bo17bobo39b2o$215b2o4$140bo2$140bo$164bobo$165bobo$162bo
bobobo$163bo3bo$160bo3bobo$161bobobo$162bobo$163bo!

wildmyron
Posts: 1401
Joined: August 9th, 2013, 12:45 am

Re: Observation on chaotic growth

Post by wildmyron » July 12th, 2017, 6:09 am

Here's a rule which really doesn't look like it will do this:

Typical soup

Code: Select all

x = 20, y = 20, rule = B2-ae3aijr4cejnqz5jy67e/S02e4a
2o3bo3bo$3o9bo4bo$obo5bo2bo$2b2o6bo4b2o$3o2bo13bo$2bo2b3o3bobo$o5bobob
obo4bobo$3bo5b2o5b2o$2b2o5b2o3b2o3bo$5bo7b2o2bobo$6bo2b4ob2o2bo$4bo3bo
3bo5bo$7bo4b4o$2obo7bo3bo2bo$obob2obo8bo$2o3bo2bo3bo$3b2o4b2o6b2o$5bo
3bo4b3o2bo$b5o7bo3b2o$3bo3bobobo3b3o!
With D2_+1 symmetry

Code: Select all

x = 39, y = 20, rule = B2-ae3aijr4cejnqz5jy67e/S02e4a
10bo3bo3b3o3bo3bo$2bo4bo9b5o9bo4bo$8bo2bo5bobobo5bo2bo$3b2o4bo6b2o3b2o
6bo4b2o$o13bo2b5o2bo13bo$6bobo3b3o2bo3bo2b3o3bobo$obo4bobobobo5bo5bobo
bobo4bobo$2b2o5b2o5bo5bo5b2o5b2o$o3b2o3b2o5b2o3b2o5b2o3b2o3bo$obo2b2o
7bo9bo7b2o2bobo$bo2b2ob4o2bo11bo2b4ob2o2bo$bo5bo3bo3bo7bo3bo3bo5bo$4b
4o4bo13bo4b4o$bo2bo3bo7bob3obo7bo3bo2bo$3bo8bob2obobobob2obo8bo$7bo3bo
2bo3b3o3bo2bo3bo$b2o6b2o4b2o5b2o4b2o6b2o$o2b3o4bo3bo9bo3bo4b3o2bo$b2o
3bo7b5ob5o7bo3b2o$2b3o3bobobo3bo5bo3bobobo3b3o!
A small example pattern with D4_+1 symmetry which exhibits the same behaviour

Code: Select all

x = 15, y = 5, rule = B2-ae3aijr4cejnqz5jy67e/S02e4a
o13bo2$o13bo2$o13bo!
As an aside, there are three small orthogonal ships in this rule:

Code: Select all

x = 6, y = 44, rule = B2-ae3aijr4cejnqz5jy67e/S02e4a
5bo$3bo$5bo19$obo2bo18$4bo2$5bo2$4bo!
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

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