Thread for basic questions

For general discussion about Conway's Game of Life.
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dvgrn
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Re: Thread for basic questions

Post by dvgrn » February 20th, 2019, 11:00 pm

danny wrote:Does this pattern ever reach a population of 16 again after generation 55?

Code: Select all

x = 6, y = 1, rule = B2ac/S
2o2b2o!
There's some kind of hard lower bound that keeps increasing. But maybe more interesting, if you turn off the lines on the population plot, there's a central band of allowable population also, and then a lot of empty space otherwise between fairly narrow upper and lower bounding regions:
100K generations of B2ac/S replicator, with dots for population
100K generations of B2ac/S replicator, with dots for population
replicator-pop-plot.PNG (53.3 KiB) Viewed 8199 times

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Re: Thread for basic questions

Post by Hdjensofjfnen » February 21st, 2019, 10:36 pm

How would you go about simulating Sparse Life? Can anyone explain how universal constructors could eventually occur naturally?

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!

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Re: Thread for basic questions

Post by 77topaz » February 22nd, 2019, 1:02 am

dvgrn wrote:
danny wrote:Does this pattern ever reach a population of 16 again after generation 55?

Code: Select all

x = 6, y = 1, rule = B2ac/S
2o2b2o!
There's some kind of hard lower bound that keeps increasing. But maybe more interesting, if you turn off the lines on the population plot, there's a central band of allowable population also, and then a lot of empty space otherwise between fairly narrow upper and lower bounding regions:
I suspect the reason for that is simply that the not-quite-a-replicator not-quite-replicates at p3, with one of the lines containing generations 0 mod 3, another 1 mod 3 and the last 2 mod 3.

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Re: Thread for basic questions

Post by Moosey » February 22nd, 2019, 8:37 am

Is payment-over-SHA256 literally payment? Sorry for the stupid question.
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Re: Thread for basic questions

Post by calcyman » February 22nd, 2019, 10:03 am

Moosey wrote:Is payment-over-SHA256 literally payment? Sorry for the stupid question.
...only of a relatively small amount of your computing power (used to prevent DDoS attacks).
What do you do with ill crystallographers? Take them to the mono-clinic!

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Re: Thread for basic questions

Post by Hunting » February 22nd, 2019, 11:20 am

How can patterns in "Rules with Interesting Dynamics" thread be useful in real-life applications?
For example:

Code: Select all

x = 32, y = 16, rule = B2ce3i/S2-a34-aiq
3o2bo2b2ob5obo2b5ob5o$o4bo3b2obobo4bo2bo2bobobobo$b2ob5o2b2o4bobo4b2ob
o3bo$4o3b2o2b2ob3obo3b4ob5o$2bo3bo2b3o2bo3bobo2bo2bo3bo$2b4ob8ob2o2bo
2b2obo2b3o$4ob3obob2obobob7o3bobo$bobo3b3ob6o2b2obo2bob3obo$obob3o3bob
4o2bo2b2o2b3obobo$2b2o4b3o2bo4b2obo2bo4b3o$2b2obob3o4b2obo7b2obobo$bo
2b4o3bo2bobobo4b4ob2obo$2ob2obo2bo3bobo4bob2obobobobo$2bo3b3ob4ob7o2bo
bo2bo$9o3bob3obob8ob2o$o2b4ob3obob2ob3obobobobob3o!

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Re: Thread for basic questions

Post by testitemqlstudop » February 22nd, 2019, 1:20 pm

Real-life as in life life, or B3/S23 life?

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Re: Thread for basic questions

Post by testitemqlstudop » February 22nd, 2019, 3:24 pm

What do the three numbers after yl in an apgcode mean? (ylxxx_xxx_xxx_SEEMINGLYRANDOMCHARACTERS)
I think the first is "period"

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Re: Thread for basic questions

Post by Moosey » February 22nd, 2019, 3:35 pm

testitemqlstudop wrote:What do the three numbers after yl in an apgcode mean? (ylxxx_xxx_xxx_SEEMINGLYRANDOMCHARACTERS)
I think the first is "period"
I know another represents period of debris. Not sure which one.
But yes, the first is definitely period.

Perhaps one number encodes whether it’s SS linear growth (like blockstacker), SM (a gun), MS (a puffer), or MM (a rake)? I’m not sure.
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Re: Thread for basic questions

Post by Ian07 » February 22nd, 2019, 4:21 pm

Moosey wrote:
testitemqlstudop wrote:What do the three numbers after yl in an apgcode mean? (ylxxx_xxx_xxx_SEEMINGLYRANDOMCHARACTERS)
I think the first is "period"
I know another represents period of debris. Not sure which one.
But yes, the first is definitely period.

Perhaps one number encodes whether it’s SS linear growth (like blockstacker), SM (a gun), MS (a puffer), or MM (a rake)? I’m not sure.
If I remember correctly, this is what each number means:
First: the period of the population growth of the pattern. Note that this is not always the same as the pattern's "true" period (see below).
Second: The overall period of the debris.
Third: The amount the population grows by each period (again, this is based on the period of the population plot, not the period of the actual pattern).
Fourth: Some sort of hashing function, I think.

For example, the BLSE is glide-symmetric and its population plot therefore repeats every half-period, and apgsearch therefore classifies it as yl144 despite its actual period being 288:

Code: Select all

x = 539, y = 536, rule = B3/S23
251b3o2bo6b3o2b4o2b4o3b3o3b3o2b4o2b4o$250bo3bobo7bo3bo3bobo3bobo3bobo
3bobo3bobo3bo$250bo5bo7bo3bo3bobo3bobo3bobo3bobo3bobo3bo$250bo5bo7bo3b
4o2b4o2bo3bob5ob4o2bo3bo$250bo5bo7bo3bo5bo3bobo3bobo3bobo2bo2bo3bo$
250bo3bobo7bo3bo5bo3bobo3bobo3bobo3bobo3bo$251b3o2b5o2b3o2bo5b4o3b3o2b
o3bobo3bob4o8$b3o3b3o2b5o$o3bobo3bo5bo$4bo5bo4bo$2b2o5bo4bo12bo497bo$
4bo3bo4bo13bo497bo$o3bo2bo4bo14bo497bo$b3o2b5obo14bo497bo$27bo484bo12b
o$27bo484bo12bo$27bo484bo12bo$27bo484bo12bo$27bo484bo12bo$27bo484b2o
11bo$27bo484b2o11bo$27bo484b2o11bo$27bo484b2o11bo$27bo484b2o11bo$27bo
484b2o11bo$27bo484b3o10bo$27bo484b3o10bo$27bo484b3o10bo$27bo484b3o10bo
$27bo484b3o10bo$27bo484b3o10bo$27bo484b3o10bo$27bo480bo3b3o10bo$27bo
480bo3b3o10bo$27bo480bo3b3o10bo$27bo480b2o2b4o9bo$27bo480b2o2b4o9bo$
27bo480b2o2b4o9bo$27bo480b2o2b4o9bo$27bo461bo18b2o2b4o9b2o$27bo461bo
18b2o2b4o9b2o$27bo461bo18b2o2b4o9b2o$27bo448bo12bo18b2o2b4o9b2o$27bo
448bo12bo18b2o2b4o9b2o$27bo448bo12bo18b2o2b4o9b2o$27bo448bo12bo18b2o2b
ob2o9b2o$27bo448bo12bo18b2o2bob2o9b2o$27bo448b2o11bo18b2o2bob2o9b2o$
27bo448b2o11bo18b2o2bob2o9b2o$27bo448b2o11bo18b2o2bob2o9b2o$27bo448b2o
11bo18b2o2bob2o9b2o$27bo448b2o11bo18b2o2bob2o9b2o$27bo448b2o11bo18b2o
2bob2o9b2o$27bo448b3o10bo18b2o2bob2o9b2o$27bo448b3o10bo18b2o2bob2o9b2o
$27bo448b3o10bo18bobobob3o8b2o$27bo448b3o10bo13b2o3bobobob3o8b2o$27bo
448b3o10bo13b2o3bobobob3o8b2o$27bo448b3o10bo13b2o3bob3ob3o8b2o$27bo
448b3o10bo13b2o3bob3o2b2o8b2o$27bo444bo3b3o10bo13b2o3bob3o2b2o7bobo$
27bo444bo3b3o10bo13b2o3bob3o3bo7bobo$27bo444bo3b3o10bo13b2o2b2ob3o3bo
7bobo$27bo444b2o2b4o9bo13b2o2b2ob3o3bo4bo2bobo$27bo444b2o2b4o9bo13b2o
2bo2b3o3bo4bo2bobo$27bo444b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2obo$27bo444b
2o2b4o9bo13b2o2bo2b3o3bo3b2ob2obo$27bo425bo18b2o2b4o9b2o12b2o2bo2b3o3b
o3b2ob2ob2o$27bo425bo18b2o2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob2o$27bo425bo
18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob2o$27bo412bo12bo18b2o2b4o9b2o12b3ob
o2b2o4bo3b2ob2ob2o$27bo412bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob2o$
27bo412bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob2o$27bo412bo12bo18b2o
2bob2o9b2o12b3obo2b2o4bo3b2ob2ob2o$27bo412bo12bo18b2o2bob2o9b2o12b3obo
2b2o4bo3b2ob2ob2o$27bo412bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2obo$
27bo412b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obo$27bo412b2o11bo18b
2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obo$27bo412b2o11bo18b2o2bob2o9b3o11b3o
bo3bo4bo3b2ob2obo$27bo412b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obo$
27bo412b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obo$27bo412b3o10bo18b
2o2bob2o9b3o11b3obo3bo4bo2b3ob2obo$27bo412b3o10bo18b2o2bob2o9b3o11b3ob
o8bo2b3ob2obo$27bo412b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2obo$27bo412b
3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o$27bo412b3o10bo13b2o3bobobob3o
8b4o9bo2b2o9bo2b3ob2o$27bo412b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2o
b2ob3o$27bo412b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o$27bo
408bo3b3o10bo13b2o3bob3o2b2o7bob3o4bo2bobo2b2o9b2ob2ob3o$27bo408bo3b3o
10bo13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo$27bo408bo3b3o10bo13b2o
2b2ob3o3bo7bob3o4bo2b3o2b2o9b2obo2bobo$27bo408b2o2b4o9bo13b2o2b2ob3o3b
o4bo2bob3o4bo2b3o2b2o10bobo2bo$27bo408b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob
3o4bo2b3o3bo10bobo$27bo408b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3b
o10bobo$27bo408b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo$27b
o389bo18b2o2b4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo$27bo389bo
18b2o2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob3o4bo2b3o14bobo$27bo389bo18b2o2b4o
9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo$27bo389bo18b2o2b4o9b2o12b3ob
o2b2o4bo3b2ob2ob4o3bo2b3o14bobo$27bo376bo12bo18b2o2b4o9b2o12b3obo2b2o
4bo3b2ob2ob4o3bo2b3o14bobo$27bo376bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b
2ob2ob4o3bo2b3o14bobo$27bo376bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob
2ob4o3bo2b3o14bobo$27bo376bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob
4o3bo2b3o14bobo$27bo376bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2obob2o
3bo2b3o14bobo$27bo376b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o
3bo2b3o14bobo$27bo376b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o
3bo2b3o14bobo$27bo376b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o
3bo2b3o14bobo$27bo376b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b
2o2b3o14bobo$27bo376b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b
2o2b3o14bobo$27bo376b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b
2o2b3o14b3o$27bo376b3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o2b2o2bo
bo14b3o$27bo376b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b
3o$27bo376b3o10bo18bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o$27bo
376b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o$27bo
376b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2b2ob2o16b3o$27bo
376b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o$27bo
372bo3b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o$
27bo372bo3b3o10bo13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o
16b2o$27bo372bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o9b2obo2bobo4bob
2ob3o16b2o$27bo372bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o10bobo2bo
6bob2ob3o16b2o$27bo372b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o2b2o10b
obo2bo6b4ob3o16b2o$27bo372b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3b
o10bobo9b4ob3o17bo$27bo372b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3b
o10bobo9b4ob2o$27bo353bo18b2o2b4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o
3bo10bobo9b4ob2o$27bo353bo18b2o2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob3o4bo2b
3o14bobo9b4ob2o$27bo353bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o
14bobo9b4ob2o$27bo353bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14b
obo9b3o$27bo340bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bob
o9b3o$27bo340bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo
10b2o$27bo340bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo
10b2o$27bo340bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bob
o10b2o$27bo340bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2obob2o3bo2b3o
14bobo10b2o$27bo340b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo
2b3o14bobo10b2o$27bo340b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob
2o3bo2b3o14bobo10b2o$27bo340b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob
2obob2o3bo2b3o14bobo10b2o$27bo340b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b
3ob2obob2o2b2o2b3o14bobo10b2o$27bo340b2o11bo18b2o2bob2o9b3o11b3obo3bo
4bo2b3ob2obob2o2b2o2b3o14bobo10b2o$27bo340b3o10bo18b2o2bob2o9b3o11b3ob
o3bo4bo2b3ob2obob2o2b2o2b3o14b3o10b2o$27bo340b3o10bo18b2o2bob2o9b3o11b
3obo8bo2b3ob2obob2o2b2o2bobo14b3o10b2o$27bo340b3o10bo18bobobob3o8b3o
11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o$27bo340b3o10bo18bobobob3o8b3o
10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo$27bo340b3o10bo13b2o3bobobob3o8b
3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo$27bo340b3o10bo13b2o3bobobob3o
8b4o9bo2b2o9bo2b2ob3o4bo2b2ob2o16b3o11bo$27bo340b3o10bo13b2o3bob3ob3o
8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo$27bo336bo3b3o10bo13b2o3bo
b3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo$27bo336bo3b3o10bo
13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o16b2o$27bo336bo3b
3o10bo13b2o2b2ob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bob2ob3o16b2o$27bo
336bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o10bobo2bo6bob2ob3o16b2o$
27bo336b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o
16b2o$27bo336b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o3bo10bobo9b4ob3o
17bo$27bo336b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o
17bo$27bo317bo18b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b
4ob2o$27bo317bo18b2o2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob3o4bo2b3o14bobo9b4o
b2o$27bo317bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o
$27bo317bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o$27bo
304bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o$27bo
304bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo
304bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo
304bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27b
o304bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$
27bo304b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo
10b2o$27bo304b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o
14bobo10b2o$27bo304b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo
2b3o14bobo10b2o$27bo304b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo3b2ob2obob2o
3bo2b3o14bobo10b2o$27bo304b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obo
b2o2b2o2b3o14bobo10b2o$27bo304b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob
2obob2o2b2o2b3o14b3o10b2o$27bo304b3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob
2obob2o2b2o2bobo14b3o10b2o$27bo304b3o10bo18bobobob2o9b3o11b4o9bo2b3ob
2obob2o2b2ob2obo14b3o10b2o$27bo304b3o10bo18bobobob3o8b3o11b4o9bo2b3ob
2o3b2o2b2ob2obo14b3o11bo$27bo304b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3o
b2o3b2o2b2ob2obo14b3o11bo$27bo304b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo
2b2ob3o4bo2b2ob2o16b3o11bo$27bo304b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b
2o9b2ob2ob3o4bo2bob3o16b3o11bo$27bo300bo3b3o10bo13b2o3bob3o2b2o8b4o4bo
2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo$27bo300bo3b3o10bo13b2o3bob3o3bo
7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o16b2o$27bo300bo3b3o10bo13b2o2b2o
b3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bob2ob3o16b2o$27bo300bo3b3o10bo13b
2o2b2ob3o3bo7bob3o4bo2b3o2b2o10bobo2bo6bob2ob3o16b2o$27bo300b2o2b4o9bo
13b2o2b2ob3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o$27bo300b2o2b
4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o3bo10bobo9b4ob3o17bo$27bo300b2o2b
4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo$27bo300b2o2b
4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o$27bo281bo18b2o2b
4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o$27bo281bo18b2o
2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o$27bo281bo18b2o2b
4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o$27bo268bo12bo18b2o2b4o
9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o$27bo268bo12bo18b2o2b4o9b
2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo268bo12bo18b2o2b4o9b
2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo268bo12bo18b2o2bob2o
9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo268bo12bo18b2o2bob
2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo268b2o11bo18b2o2b
ob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo268b2o11bo18b
2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo268b2o11b
o18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo268b
2o11bo18b2o2bob2o9b3o11b3obo3bo4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo
268b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o$
27bo268b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo
10b2o$27bo268b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2bobo
14b3o10b2o$27bo268b3o10bo18b2o2bob2o9b3o11b4o9bo2b3ob2obob2o2b2ob2obo
14b3o10b2o$27bo268b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2o3b2o2b2ob2obo
14b3o10b2o$27bo268b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2o
bo14b3o11bo$27bo268b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b2ob3o4bo2b2ob
2o16b3o11bo$27bo268b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo
2b5o16b3o11bo$27bo268b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o
4bo2bob3o16b3o11bo$27bo264bo3b3o10bo13b2o3bob3o2b2o7bob3o4bo2bobo2b2o
9b2obo2b3o4bo2bob3o16b3o11bo$27bo264bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo
2bobo2b2o9b2obo2bobo4bob2ob3o16b2o$27bo264bo3b3o10bo13b2o2b2ob3o3bo7bo
b3o4bo2b3o2b2o10bobo2bo6bob2ob3o16b2o$27bo264b2o2b4o9bo13b2o2b2ob3o3bo
4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o$27bo264b2o2b4o9bo13b2o2bo2b
3o3bo4bo2bob3o4bo2b3o3bo10bobo9b4ob3o17bo$27bo264b2o2b4o9bo13b2o2bo2b
3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo$27bo264b2o2b4o9bo13b2o2bo2b
3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o$27bo245bo18b2o2b4o9b2o12b2o2bo
2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o$27bo245bo18b2o2b4o9b2o12b3obo
2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o$27bo245bo18b2o2b4o9b2o12b3obo2b
2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o$27bo232bo12bo18b2o2b4o9b2o12b3obo2b2o
4bo3b2ob2ob4o3bo2b3o14bobo9b3o$27bo232bo12bo18b2o2b4o9b2o12b3obo2b2o4b
o3b2ob2ob4o3bo2b3o14bobo10b2o$27bo232bo12bo18b2o2b4o9b2o12b3obo2b2o4bo
3b2ob2ob4o3bo2b3o14bobo10b2o$27bo232bo12bo18b2o2bob2o9b2o12b3obo2b2o4b
o3b2ob2ob4o3bo2b3o14bobo10b2o$27bo232bo12bo18b2o2bob2o9b2o12b3obo2b2o
4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo232b2o11bo18b2o2bob2o9b3o11b3obo2b
2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo232b2o11bo18b2o2bob2o9b3o11b3o
bo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo232b2o11bo18b2o2bob2o9b3o
11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo232b2o11bo18b2o2bob2o
9b3o11b3obo3bo4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo232b2o11bo18b2o2bo
b2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o$27bo232b2o11bo18b
2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o$27bo232b3o10b
o18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2bobo14b3o10b2o$27bo232b
3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o2b2o2bobo14b3o10b2o$27bo
232b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o$27bo
232b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo$27b
o232b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b3ob2o4bo2b2ob2o16b3o11bo$27b
o232b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2b5o16b3o11bo$
27bo232b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o
11bo$27bo228bo3b3o10bo13b2o3bob3o2b2o7bob3o4bo2bobo2b2o9b2ob2ob3o4bo2b
ob3o16b3o11bo$27bo228bo3b3o10bo13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo
2bobo4bo2bob3o16b2o$10b7o10bo228bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o
2b2o9b2obo2bobo4bob2ob3o16b2o$13bo13bo228b2o2b4o9bo13b2o2b2ob3o3bo4bo
2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o$12bo14bo228b2o2b4o9bo13b2o2bo2b
3o3bo4bo2bob3o4bo2b3o3bo10bobo9b4ob3o17bo$11bo15bo228b2o2b4o9bo13b2o2b
o2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo$10b7o10bo228b2o2b4o9bo
13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o$27bo209bo18b2o2b4o9b
2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o$11b5o11bo209bo18b2o
2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob3o4bo2b3o14bobo9b4ob2o$10bo5bo10bo209bo
18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o$10bo5bo10bo
196bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o$10bo5b
o10bo196bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$
11b5o11bo196bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo
10b2o$27bo196bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bob
o10b2o$27bo196bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bo
bo10b2o$10bo5bo10bo196bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2obob2o
3bo2b3o14bobo10b2o$10b7o10bo196b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b
2ob2obob2o3bo2b3o14bobo10b2o$10bo5bo10bo196b2o11bo18b2o2bob2o9b3o11b3o
bo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo196b2o11bo18b2o2bob2o9b3o
11b3obo3bo4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo196b2o11bo18b2o2bob2o
9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o$10bo16bo196b2o11bo18b
2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o$10bo16bo196b
3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2bobo14b3o10b2o$10b
7o10bo196b3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o2b2o2bobo14b3o10b
2o$10bo16bo196b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o
10b2o$10bo16bo196b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2ob
o14b3o11bo$27bo196b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b3ob2o4bo2b2ob
2o16b3o11bo$11b6o10bo196b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob
3o4bo2b5o16b3o11bo$10bo2bo13bo196b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b
2o9b2ob2ob3o4bo2bob3o16b3o11bo$10bo2bo13bo192bo3b3o10bo13b2o3bob3o2b2o
7bob3o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo$10bo2bo13bo192bo3b3o10b
o13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o16b2o$11b6o10bo
192bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o9b2obo2bobo4bob2ob3o16b2o
$27bo192b2o2b4o9bo13b2o2b2ob3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o
16b2o$16bo10bo192b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o3bo10bobo9b
4ob3o17bo$16bo10bo192b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bo
bo9b4ob3o17bo$16bo10bo192b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo
10bobo9b4ob2o$16bo10bo173bo18b2o2b4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b
3o3bo10bobo9b4ob2o$10b7o10bo173bo18b2o2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob
3o4bo2b3o14bobo9b4ob2o$27bo173bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o
3bo2b3o14bobo9b4ob2o$10b6o11bo173bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob
4o3bo2b3o14bobo9b3o$16bo10bo160bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob
2ob4o3bo2b3o14bobo9b3o$16bo10bo160bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b
2ob2ob4o3bo2b3o14bobo10b2o$16bo10bo160bo12bo18b2o2bob2o9b2o12b3obo2b2o
4bo3b2ob2ob4o3bo2b3o14bobo10b2o$10b6o11bo160bo12bo18b2o2bob2o9b2o12b3o
bo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo160bo12bo18b2o2bob2o9b2o12b
3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$11b2o14bo160b2o11bo18b2o2bob
2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$10bo2bo13bo160b2o
11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$10bo2b
o13bo160b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo
10b2o$10bo2bo13bo160b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b
2o2b3o14bobo10b2o$10b7o10bo160b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob
2obob2o2b2o2b3o14bobo10b2o$27bo160b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo
2b3ob2obob2o2b2o2b3o14b3o10b2o$11b5o11bo160b3o10bo18b2o2bob2o9b3o11b3o
bo8bo2b3ob2obob2o2b2o2bobo14b3o10b2o$10bo5bo10bo160b3o10bo18bobobob3o
8b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o$10bo5bo10bo160b3o10bo18bob
obob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo$10bo5bo10bo160b3o10bo
13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo$11b5o11bo160b
3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2b2ob2o16b3o11bo$27bo
160b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo$
11b2o14bo156bo3b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob
3o16b3o11bo$10bo2bo13bo156bo3b3o10bo13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b
2obo2bobo4bo2bob3o16b2o$10bo2bo13bo156bo3b3o10bo13b2o2b2ob3o3bo7bob3o
4bo2b3o2b2o9b2obo2bobo4bob2ob3o16b2o$10bo2bo13bo156bo3b3o10bo13b2o2b2o
b3o3bo7bob3o4bo2b3o2b2o10bobo2bo6bob2ob3o16b2o$10b7o10bo156b2o2b4o9bo
13b2o2bo2b3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o$27bo156b2o2b
4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo$27bo156b2o2b
4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o$27bo137bo18b2o2b
4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o$27bo137bo18b2o
2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob3o4bo2b3o14bobo9b4ob2o$27bo137bo18b2o2b
4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o$27bo137bo18b2o2b4o
9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o$27bo124bo12bo18b2o2b4o9b
2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o$27bo124bo12bo18b2o2b4o9b2o
12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo124bo12bo18b2o2b4o9b2o
12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo124bo12bo18b2o2bob2o9b
2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo124bo12bo18b2o2bob2o
9b2o12b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo124b2o11bo18b2o2b
ob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo124b2o11bo18b
2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo124b2o11b
o18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo124b
2o11bo18b2o2bob2o9b3o11b3obo3bo4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo
124b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o$
27bo124b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14b3o10b
2o$27bo124b3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o2b2o2bobo14b3o
10b2o$27bo124b3o10bo18bobobob2o9b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o
10b2o$27bo124b3o10bo18bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o
11bo$27bo124b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b
3o11bo$27bo124b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b2ob3o4bo2b2ob2o16b
3o11bo$27bo124b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o
16b3o11bo$27bo120bo3b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4b
o2bob3o16b3o11bo$27bo120bo3b3o10bo13b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2o
bo2bobo4bo2bob3o16b2o$27bo120bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2bobo2b
2o9b2obo2bobo4bob2ob3o16b2o$27bo120bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo
2b3o2b2o10bobo2bo6bob2ob3o16b2o$27bo120b2o2b4o9bo13b2o2bo2b3o3bo4bo2bo
b3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o$27bo120b2o2b4o9bo13b2o2bo2b3o3bo4b
o2bob3o4bo2b3o3bo10bobo9b4ob3o17bo$27bo120b2o2b4o9bo13b2o2bo2b3o3bo3b
2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo$27bo101bo18b2o2b4o9bo13b2o2bo2b3o
3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o$27bo101bo18b2o2b4o9b2o12b2o2bo2b
2o4bo3b2ob2ob3o4bo2b3o14bobo9b4ob2o$27bo101bo18b2o2b4o9b2o12b3obo2b2o
4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o$27bo101bo18b2o2b4o9b2o12b3obo2b2o4bo
3b2ob2ob4o3bo2b3o14bobo9b3o$27bo88bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b
2ob2ob4o3bo2b3o14bobo9b3o$27bo88bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob
2ob4o3bo2b3o14bobo10b2o$27bo88bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2o
b4o3bo2b3o14bobo10b2o$27bo88bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2o
b4o3bo2b3o14bobo10b2o$27bo88bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2o
bob2o3bo2b3o14bobo10b2o$27bo88b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2o
b2obob2o3bo2b3o14bobo10b2o$27bo88b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo
3b2ob2obob2o3bo2b3o14bobo10b2o$27bo88b2o11bo18b2o2bob2o9b3o11b3obo2b2o
4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo88b2o11bo18b2o2bob2o9b3o11b3obo
3bo4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo88b2o11bo18b2o2bob2o9b3o11b3o
bo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o$27bo88b3o10bo18b2o2bob2o9b3o
11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14b3o10b2o$27bo88b3o10bo18b2o2bob2o9b
3o11b3obo8bo2b3ob2obob2o2b2o2bobo14b3o10b2o$27bo88b3o10bo18bobobob2o9b
3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o$27bo88b3o10bo18bobobob3o8b3o
11b4o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo$27bo88b3o10bo13b2o3bobobob3o8b3o
10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo$27bo88b3o10bo13b2o3bobobob3o8b4o
9bo2b2o9bo2b2ob3o4bo2b2ob2o16b3o11bo$27bo88b3o10bo13b2o3bob3ob3o8b4o4b
o2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo$27bo84bo3b3o10bo13b2o3bob3o2b2o
8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo$27bo84bo3b3o10bo13b2o3bob
3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o16b2o$27bo84bo3b3o10bo13b2o
2b2ob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bob2ob3o16b2o$27bo84bo3b3o10bo
13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o10bobo2bo6bob2ob3o16b2o$27bo84b2o2b4o
9bo13b2o2b2ob3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o$27bo84b2o
2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o3bo10bobo9b4ob3o17bo$27bo84b2o2b
4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo$27bo84b2o2b
4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o$27bo65bo18b2o2b
4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o$27bo65bo18b2o2b
4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4ob2o$27bo65bo18b2o2b4o9b
2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o$27bo52bo12bo18b2o2b4o9b2o
12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o$27bo52bo12bo18b2o2b4o9b2o12b
3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo52bo12bo18b2o2b4o9b2o12b3o
bo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo52bo12bo18b2o2bob2o9b2o12b3o
bo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo52bo12bo18b2o2bob2o9b2o12b3o
bo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo52b2o11bo18b2o2bob2o9b3o11b
3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo52b2o11bo18b2o2bob2o9b3o
11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo52b2o11bo18b2o2bob2o
9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo52b2o11bo18b2o2bo
b2o9b3o11b3obo3bo4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo52b2o11bo18b2o
2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o$27bo52b2o11bo
18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o$27bo52b3o
10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2bobo14b3o10b2o$27bo
52b3o10bo18b2o2bob2o9b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o$27bo
52b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2o3b2o2b2ob2obo14b3o10b2o$27bo52b
3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo$27bo52b
3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b2ob3o4bo2b2ob2o16b3o11bo$27bo52b
3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2b5o16b3o11bo$27bo52b
3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo$27bo
48bo3b3o10bo13b2o3bob3o2b2o7bob3o4bo2bobo2b2o9b2obo2b3o4bo2bob3o16b3o
11bo$27bo48bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bob
2ob3o16b2o$27bo48bo3b3o10bo13b2o2b2ob3o3bo7bob3o4bo2b3o2b2o10bobo2bo6b
ob2ob3o16b2o$27bo48b2o2b4o9bo13b2o2b2ob3o3bo4bo2bob3o4bo2b3o2b2o10bobo
2bo6b4ob3o16b2o$27bo48b2o2b4o9bo13b2o2bo2b3o3bo4bo2bob3o4bo2b3o3bo10bo
bo9b4ob3o17bo$27bo48b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bob
o9b4ob3o17bo$27bo48b2o2b4o9bo13b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo
9b4ob2o$27bo29bo18b2o2b4o9b2o12b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo
9b4ob2o$27bo29bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b4o
b2o$27bo29bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o$27b
o16bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o$27bo
16bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo
16bo12bo18b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo
16bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo
16bo12bo18b2o2bob2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo
16b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$
27bo16b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b
2o$27bo16b2o11bo18b2o2bob2o9b3o11b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo
10b2o$27bo16b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo3b2ob2obob2o3bo2b3o14bo
bo10b2o$27bo16b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o
14bobo10b2o$27bo16b2o11bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o
2b3o14bobo10b2o$27bo16b3o10bo18b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o
2b2o2bobo14b3o10b2o$27bo16b3o10bo18b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o
2b2o2bobo14b3o10b2o$27bo16b3o10bo18bobobob3o8b3o11b4o9bo2b3ob2obob2o2b
2ob2obo14b3o10b2o$27bo16b3o10bo13b2o3bobobob3o8b3o10b5o9bo2b3ob2o3b2o
2b2ob2obo14b3o11bo$27bo16b3o10bo13b2o3bobobob3o8b4o9bo2b2o9bo2b3ob2o4b
o2b2ob2o16b3o11bo$27bo16b3o10bo13b2o3bob3ob3o8b4o4bo2bobo2b2o9b2ob2ob
3o4bo2b5o16b3o11bo$27bo16b3o10bo13b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2o
b3o4bo2bob3o16b3o11bo$27bo12bo3b3o10bo13b2o3bob3o2b2o7bob3o4bo2bobo2b
2o9b2ob2ob3o4bo2bob3o16b3o11bo$27bo12bo3b3o10bo13b2o3bob3o3bo7bob3o4bo
2bobo2b2o9b2obo2bobo4bo2bob3o16b2o$27bo12bo3b3o10bo13b2o2b2ob3o3bo7bob
3o4bo2b3o2b2o9b2obo2bobo4bob2ob3o16b2o$27bo12b2o2b4o9bo13b2o2b2ob3o3bo
4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o$27bo12b2o2b4o9bo13b2o2bo2b3o
3bo4bo2bob3o4bo2b3o3bo10bobo9b4ob3o17bo$27bo12b2o2b4o9bo13b2o2bo2b3o3b
o3b2ob2ob3o4bo2b3o3bo10bobo9b4ob3o17bo$27bo12b2o2b4o9bo13b2o2bo2b3o3bo
3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o$27bo12b2o2b4o9b2o12b2o2bo2b3o3bo3b2o
b2ob3o4bo2b3o3bo10bobo9b4ob2o$27bo12b2o2b4o9b2o12b2o2bo2b2o4bo3b2ob2ob
3o4bo2b3o14bobo9b4ob2o$27bo12b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b
3o14bobo9b4ob2o$27bo12b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo
9b3o$27bo12b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo
12b2o2b4o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo12b2o2bob
2o9b2o12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo12b2o2bob2o9b2o
12b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo12b2o2bob2o9b2o12b3obo
2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo12b2o2bob2o9b3o11b3obo2b2o4b
o3b2ob2obob2o3bo2b3o14bobo10b2o$27bo12b2o2bob2o9b3o11b3obo2b2o4bo3b2ob
2obob2o3bo2b3o14bobo10b2o$27bo12b2o2bob2o9b3o11b3obo3bo4bo3b2ob2obob2o
3bo2b3o14bobo10b2o$27bo12b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b
3o14bobo10b2o$27bo12b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bo
bo10b2o$27bo12b2o2bob2o9b3o11b3obo3bo4bo2b3ob2obob2o2b2o2bobo14b3o10b
2o$27bo12b2o2bob2o9b3o11b3obo8bo2b3ob2obob2o2b2o2bobo14b3o10b2o$27bo
12bobobob3o8b3o11b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o$27bo7b2o3bobobo
b3o8b3o10b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo$27bo7b2o3bobobob3o8b4o9bo
2b2o9bo2b3ob2o4bo2b2ob2o16b3o11bo$27bo7b2o3bob3ob3o8b4o4bo2bobo2b2o9b
2ob2ob3o4bo2b2ob2o16b3o11bo$27bo7b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob
3o4bo2bob3o16b3o11bo$27bo7b2o3bob3o2b2o8b4o4bo2bobo2b2o9b2ob2ob3o4bo2b
ob3o16b3o11bo$27bo7b2o3bob3o3bo7bob3o4bo2bobo2b2o9b2obo2bobo4bo2bob3o
16b2o$27bo7b2o2b2ob3o3bo7bob3o4bo2b3o2b2o9b2obo2bobo4bob2ob3o16b2o$27b
o7b2o2b2ob3o3bo7bob3o4bo2b3o2b2o10bobo2bo6bob2ob3o16b2o$27bo7b2o2bo2b
3o3bo4bo2bob3o4bo2b3o2b2o10bobo2bo6b4ob3o16b2o$27bo7b2o2bo2b3o3bo3b2ob
2ob3o4bo2b3o3bo10bobo9b4ob3o17bo$27bo7b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3b
o10bobo9b4ob2o$27bo7b2o2bo2b3o3bo3b2ob2ob3o4bo2b3o3bo10bobo9b4ob2o$27b
o7b2o2bo2b2o4bo3b2ob2ob3o4bo2b3o14bobo9b4ob2o$27bo7b3obo2b2o4bo3b2ob2o
b4o3bo2b3o14bobo9b4ob2o$27bo7b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o$
27bo7b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo9b3o$27bo7b3obo2b2o4bo3b2ob2ob
4o3bo2b3o14bobo10b2o$27bo7b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27b
o7b3obo2b2o4bo3b2ob2ob4o3bo2b3o14bobo10b2o$27bo7b3obo2b2o4bo3b2ob2obob
2o3bo2b3o14bobo10b2o$27bo7b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$
27bo7b3obo2b2o4bo3b2ob2obob2o3bo2b3o14bobo10b2o$27bo7b3obo2b2o4bo3b2ob
2obob2o3bo2b3o14bobo10b2o$27bo7b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo
10b2o$27bo7b3obo3bo4bo2b3ob2obob2o2b2o2b3o14bobo10b2o$27bo7b3obo3bo4bo
2b3ob2obob2o2b2o2b3o14b3o10b2o$27bo7b3obo8bo2b3ob2obob2o2b2o2bobo14b3o
10b2o$27bo7b4o9bo2b3ob2obob2o2b2ob2obo14b3o10b2o$27bo6b5o9bo2b3ob2o3b
2o2b2ob2obo14b3o11bo$27bo6b5o9bo2b3ob2o3b2o2b2ob2obo14b3o11bo$27bobo2b
obo2b2o9b2ob2ob3o4bo2b2ob2o16b3o11bo$27bobo2bobo2b2o9b2ob2ob3o4bo2bob
3o16b3o11bo$27bobo2bobo2b2o9b2ob2ob3o4bo2bob3o16b3o11bo$27bobo2bobo2b
2o9b2obo2bobo4bo2bob3o16b2o$27bobo2b3o2b2o9b2obo2bobo4bob2ob3o16b2o$
27bobo2b3o2b2o10bobo2bo6bob2ob3o16b2o$27bobo2b3o2b2o10bobo2bo6b4ob3o
16b2o$27bobo2b3o3bo10bobo9b4ob3o17bo$27bobo2b3o3bo10bobo9b4ob2o$27bobo
2b3o3bo10bobo9b4ob2o$27bobo2b3o14bobo9b4ob2o$27bobo2b3o14bobo9b4ob2o$
27bobo2b3o14bobo9b3o$27bobo2b3o14bobo9b3o$27bobo2b3o14bobo10b2o$27bobo
2b3o14bobo10b2o$27bobo2b3o14bobo10b2o$27bobo2b3o14bobo10b2o$27bobo2b3o
14bobo10b2o$27bobo2b3o14bobo10b2o$27bobo2b3o14bobo10b2o$27bobo2b3o14bo
bo10b2o$27b3o2b3o14bobo10b2o$27b3o2b3o14b3o10b2o$27b3o2bobo14b3o10b2o$
27b3ob2obo14b3o10b2o$27b3ob2obo14b3o11bo$27b3ob2obo14b3o11bo$27b3ob2o
16b3o11bo$27b2ob3o16b3o11bo$27b2ob3o16b3o11bo$27b2ob3o16b2o$27b2ob3o
16b2o$27b2ob3o16b2o$27b2ob3o16b2o$27b2ob3o17bo$27b2ob3o17bo$27b2ob2o$
27b2ob2o$27b2ob2o$27bo$27bo$27bo$27bo$27bo$27bo$27bo$27bo$27bo$27bo$
27bo$27bo$27bo$27bo$9bo3b3o11bo$8b2o2bo3bo10bo$7bobo6bo10bo$6bo2bo4b2o
11bo$6b5o5bo10b501o$9bo2bo3bo$9bo3b3o8$25b3o185b3o2b5obo3bob5ob4o3b3o
2b5o2b3o3b3o2bo3bo10bo34bo4b3o4bo4b3o3bo177b3o3b3o3b3o3b3o$24bo3bo183b
o3bobo5b2o2bobo5bo3bobo3bo3bo5bo3bo3bob2o2bo9bo11bo22b2o3bo3bo2bobo2bo
3bo3bo175bo3bobo3bobo3bobo3bo$24bo2b2o183bo5bo5bobobobo5bo3bobo3bo3bo
5bo3bo3bobobobo9bo4b4ob5o2b3o2b4o2b5o3bo3bo2b2obo3bobo2b2o3bo179bobo2b
2obo2b2obo2b2o$24bobobo183bo2b2ob3o3bo2b2ob3o3b4o2b5o3bo5bo3bo3bobo2b
2o9bo3bo7bo3bo3bobo3bo9bo3bobobo7bobobo3bo178bo2bobobobobobobobobo$24b
2o2bo183bo3bobo5bo3bobo5bo2bo2bo3bo3bo5bo3bo3bobo3bo9bo4b3o4bo3b5obo3b
ob5o3bo3b2o2bo7b2o2bo3bo177bo3b2o2bob2o2bob2o2bo$24bo3bo183bo3bobo5bo
3bobo5bo3bobo3bo3bo5bo3bo3bobo3bo9bo7bo3bo3bo5bo3bo9bo3bo3bo7bo3bo3bo
176bo4bo3bobo3bobo3bo$25b3o185b3o2b5obo3bob5obo3bobo3bo3bo4b3o3b3o2bo
3bo10bo2b4o5b2o2b4ob4o9b3o3b3o9b3o3bo176b5o2b3o3b3o3b3o$302bo$302bo!
On the other hand, this replicator-based puffer from HighLife is classified as a yl960 rather than a yl192 since the p10 oscillators are out of phase with one another:

Code: Select all

x = 16, y = 16, rule = B36/S23
9bo$ob2o4bobo3b2o$2bo2b2o2bob3obo$2b7ob2obobo$3bob4o3b2o$2ob2o2bo6b2o$
o3bobob2obob3o$3b3ob2obob2obo$b3obo4bo2bo$ob4o3bo$4bobo5bobo$2o2bo3b2o
b2o2bo$ob3o2bo5b3o$3bo4b2o4b2o$3obo3b3ob2obo$2b2o6bob4o!

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Re: Thread for basic questions

Post by 77topaz » February 22nd, 2019, 5:54 pm

Ian07 wrote:Fourth: Some sort of hashing function, I think.
Specifically, it's a hash of the yl's population plot, which is why the presence of oscillators near the yl's output can sometimes create yls which differ only in the hash, not the first three parameters.

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Re: Thread for basic questions

Post by testitemqlstudop » February 22nd, 2019, 7:21 pm

thanks! Very interesting

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Re: Thread for basic questions

Post by Hunting » February 22nd, 2019, 11:38 pm

testitemqlstudop wrote:Real-life as in life life, or B3/S23 life?
As in non-CA related life.

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Re: Thread for basic questions

Post by Hunting » February 23rd, 2019, 10:54 am

Another stupid question:

Is a SMOS even possible in B3/S23?

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Re: Thread for basic questions

Post by Moosey » February 23rd, 2019, 11:36 am

Hunting wrote:Another stupid question:

Is a SMOS even possible in B3/S23?
Alright, here’s my answer:
Yes, definitely.

I have a general Idea for a SMOG (spaceship made of gliders) but am not sure if it would work.

My idea is a bunch of gliders make a crab tubstretcher, then some collide into it and produce more gliders, and then a LWSS salvo or something crashes into the crab and cleanly destroys it.
The new gliders would be the same ones in the initial setup in terms of relative position, just displaced a bit.


SMOSses definitely exist in B3/S23 because of the 0E0P metacell, though. Also SMOSMOS.

My own basic question:
Magic sauce?

Code: Select all

Creating magic sauce for rule b3-ck4e5k6is2-in35i6c8...
Last edited by Moosey on February 23rd, 2019, 12:02 pm, edited 2 times in total.
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Re: Thread for basic questions

Post by dvgrn » February 23rd, 2019, 11:50 am

Moosey wrote:SMOSses definitely exist in B3/S23 because of the 0E0P metacell, though.
There's also a thread about a self-synthesizing spaceship (a.k.a. a SMOG) with a fairly detailed design laid out.

I think it's probably possible to do something a bit more efficient nowadays, by taking ideas from chris_c's camelship and the upcoming quadratic-growth replicator. But, yeah, CGoL SMOSes are definitely doable.

0E0P metacell-based ones are maybe a bit unsatisfactory because you can't really watch them work, but we could build one that would run in Golly about as well as a loopship.

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Re: Thread for basic questions

Post by Macbi » February 23rd, 2019, 11:57 am

I thought it might be interesting to have a thread where we try to work out minimal SMOSes, RROs and quadratic replicators based on the 0E0P metacell. Of course we wouldn't be able to run them in Golly, but we could calculate their bounding box and population. It would be a fun synthesis of OCA and Life since we would have to think of other rules in which there were small such patterns.

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Re: Thread for basic questions

Post by testitemqlstudop » February 25th, 2019, 11:50 am

Some questions:

1. What is the maximum # of states for a Golly custom ruletable?
2. Can custom ruletable states have custom colors when displayed?
3. Is there a size limit for ruletables other than hardware limitations?

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Re: Thread for basic questions

Post by dvgrn » February 25th, 2019, 12:27 pm

testitemqlstudop wrote:Some questions:

1. What is the maximum # of states for a Golly custom ruletable?
2. Can custom ruletable states have custom colors when displayed?
3. Is there a size limit for ruletables other than hardware limitations?
256 states is the maximum.

The @COLORS section of the rule table, if it's there, defines which RGB colors go with which states.

If there's an official limit to the number of rule lines, I don't know it. So "hardware limitations" is a good way to put it: at some point Golly might run out of memory trying to convert a ridiculously long rule table into the internal tree format that it uses, but the point where that happens is probably machine-specific.

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Re: Thread for basic questions

Post by Moosey » February 26th, 2019, 11:59 am

Are there any guns known that have no stator but do have an engine reaction between two oscillators?
If not, are there any promising oscillators?
For instance, this gun in crylife is an example of what I mean:

Code: Select all

#N a gun in crylife
x = 12, y = 17, rule = B2n3-cry4kn6i7c/S23-a4i6c
2o$obo4bo$2bobob2o$ob2o2bo$2o4bo8$4b2o4bo$4bob2o2bo$6bobob2o$4bobo4bo$
4b2o!
I suppose there are statorless guns with no such reaction nor any direct overunity nG-> >nG, via universal constructors; they’re just RRO Gemini things that produce extra gliders (oh wait... Are there any RRgemini, or will that be the next self-constructing thing challenge?)
Any number of barrels is fine.

EDIT:
Realization:

Code: Select all

x = 11, y = 14, rule = LifeHistory
10.B$9.B$4.AD2.B$3.A.B.B$2.A.B.B$.A.B.B.BD$A.B.B.B.A$EB.B.B.A$E.B.B.A
$EB.B.A$E.B.A$EB.A$E.A$EA!
Since the PD is statorles and the QB can be supported by G’s, is suppose we could make a statorless gun like that utilizing a blueprint like what I provided above.
Yellow line: QB/GGG wick
Blue lines: Glider paths
Red dots: PD-based statorless reflectors
Green lines: Gs going back to QBs to stabilize.
Perhaps even better:

Code: Select all

x = 13, y = 12, rule = LifeHistory
8.AD$7.A.B$6.A.B$5.A.B3.BD$4.A.B3.B.A$4.EB3.B.A$4.E3.B.A$4.E2.B.A$3.B
E.B.A$2.B.EB.A$.B2.E.A$B3.EA!
Last edited by Moosey on February 26th, 2019, 12:47 pm, edited 1 time in total.
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Re: Thread for basic questions

Post by dvgrn » February 26th, 2019, 12:39 pm

Moosey wrote:I suppose there are statorless guns with no such reaction nor any direct overunity nG-> >nG, via universal constructors; they’re just RRO Gemini things that produce extra gliders (oh wait... Are there any RRgemini, or will that be the next self-constructing thing challenge?)
There aren't any RRgemini yet. Really "Gemini" means two identical-twin copies of a reflector/constructor cooperating to shift an instruction tape... so I won't say that an RRgemini is completely impossible, but what you're looking for might be more like a RR{self-synthesizing spaceship}.

Once we have self-synthesizing spaceships, it's just about equally easy to build one that travels at a slightly oblique diagonal, or that travels exactly orthogonally by constructing a mirror image of itself, or that travels in a loop by building a 90- or 180-degree rotated copy of itself. It would be a little trickier to build a statorless RRSSS that just puts out a single stream of gliders, though. You'd tend to get one output stream per rotation, so a two- or four-barrel shotgun.

Meanwhile, there are technically statorless oscillators in Life that you could rub two copies of together and get a glider out -- somehow -- I think -- but they're also UC-based: volatility-1 self-constructing loops. The thing is, it would probably be easier to reprogram just one of these to emit an extra glider, than to work out how to get edge sparks from two of them to interact to get a glider out on a clear path.

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Re: Thread for basic questions

Post by wildmyron » February 27th, 2019, 4:27 am

Moosey wrote:Are there any guns known that have no stator but do have an engine reaction between two oscillators?
<snip>
Since the PD is statorles and the QB can be supported by G’s, is suppose we could make a statorless gun like that utilizing a blueprint like what I provided above.
<snip>
It's much easier than that because the pentadecathlon can stabilise the QB itself.

Code: Select all

x = 45, y = 16, rule = B3/S23
43bo$43bo2$43bo$3b3o23bo12bobo$2bo3bo20bobo$bo5bo10bo7bobo13b3o$17b2o
6bo2bo$o7bo7b2o4b2o2bobo$o7bo6b3o4b2o3bobo12b3o$16b2o4b2o5bo$bo5bo9b2o
23bobo$2bo3bo11bo24bo$3b3o$43bo$43bo!
There are many alternative ways to stabilise the queen bee shuttle.

A convoluted statorless p120 gun was posted here. I'm sure there are others.
The 5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by AforAmpere. The latest collection is hosted on GitHub and contains well over 1,000,000 spaceships.

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Re: Thread for basic questions

Post by Moosey » February 28th, 2019, 2:30 pm

Are there any omnibus syntheses? There are none on the wiki.

It seems like it should be easy due to its predecessor.

EDIT:

Code: Select all

x = 33, y = 26, rule = B3/S23
28bo$26b2o$27b2o4$3bo13bo$4b2o9b2o$3b2o11b2o2$bo17bo$b2o15b2o$obo15bob
o11$30b3o$30bo$31bo!
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Re: Thread for basic questions

Post by dvgrn » February 28th, 2019, 3:26 pm

Moosey wrote:Are there any omnibus syntheses? There are none on the wiki.

It seems like it should be easy due to its predecessor.

EDIT:

Code: Select all

x = 33, y = 26, rule = B3/S23
28bo$26b2o$27b2o4$3bo13bo$4b2o9b2o$3b2o11b2o2$bo17bo$b2o15b2o$obo15bob
o11$30b3o$30bo$31bo!
That's a little messier than necessary. The omnibus has been around a while, though apparently it was just called "40-bit still life #1" until it started showing up on Catagolue. I guess it appeared in some previous soup search, but I don't remember for sure.

Anyway, it's always worth searching in Mark Niemiec's database. You only need five gliders total.

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Re: Thread for basic questions

Post by Ian07 » March 2nd, 2019, 9:13 pm

What's the current smallest known Garden of Eden? The Garden of Eden 6 article implies there's a smaller one known but doesn't specify what it is, and there doesn't seem to be an article on it.

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