Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

For discussion of other cellular automata.
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2718281828
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » April 16th, 2018, 11:59 pm

Reduced p18 R-gun (old vs new):

Code: Select all

x = 52, y = 103, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$32bo3bo$34bo$33b3o$34bo$33b3o$29bo4bo4bo$31bo5bo$30b2obobob2o$33b3o$
30b2o2bo2b2o$13bo3bo7bo5bo2bo2bo5bo$15bo11bobo3b3o3bobo$14bobo9b2ob2o
7b2ob2o$14b3o3bo24bo2bo$25bo11bo2b2ob2obo$10bo13b3o6bo2b2o5bobobo$12bo
2bo2bo6bo11bo2b2ob2obo$11b2ob3ob3o24bo2bo$13bobobo2bo5b2ob2o7b2ob2o$5b
o5b2ob3obo7bo2bo9bo2bo$7bobo2bo2bo2b2o8b2o9b2o$6b2ob2o$o32bobo$2bo16b
2o7b2o3b3o$b3o2bobobo9bo8bo$2bo16b2o7b2o$o13bobo$6b2ob2o3b3o$7bobo2bob
obobo$5bo5b2obobob3o$14b3o3bo14bo$11b2obobobo15b3o$12bo5b2o9b2o3bobo3b
2o$10bo4bo11bo2bo4bo4bo2bo$27b2ob2o7b2ob2o$21bo24bo2bo$14b3o6bo4b6o4bo
2b2ob2obo$23bo2bo2bo2bo4b2o5bobobo$13bo3bo5bo4b6o4bo2b2ob2obo$21bo24bo
2bo$27b2ob2o7b2ob2o$28bobo2bobobo2bobo$26bo2bo2bo5bo2bo2bo$31b2o5b2o$
30bo2bobobo2bo$31b2o5b2o$32bo5bo$30bo2bo3bo2bo$34b3o$34b3o$35bo2$33bo
3bo10$26bo3bo$28bo$27b3o$28bo2$22bo$32bo$23bo4bo2b3o$32bo2$33b3o$28bo
4bobo$27b3o$28bo$26bo3bo2$28b2o9b2o$26bo2bo9bo2bo$26b2ob2o7b2ob2o$20bo
3bo8b3o4bo7bo$22b2obo3bo3bobo5bo3bo$22bobobobo12bo3bo$22b2obo3bo11bo3b
o$20bo3bo15bo7bo$26b2ob2o7b2ob2o$27bobo9bobo$25bo5bo5bo5bo$30b2o5b2o2$
30b2o2bo2b2o$31bob3obo$29bo3b3o3bo$33b3o$34bo3$32bo3bo!
!
Edit1:
This p26 (left) gives an almost p26 G-gun (right), maybe someone finds a way to 'fix' it:

Code: Select all

x = 53, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4bo28bo$2bo6bo21bo6bo$2b2o3bo3bo19b2o3bo3bo$7b5o24b5o$9bo28bo$o28bo22b
o$3bobobo3bobobo16bobobo3bobobo5bo$18bo28bo2b2o$9bo28bo$7b5o24b5o$7bo
3bo3b2o19bo3bo3b2o$9bo6bo21bo6bo$14bo28bo!

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2718281828
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » April 17th, 2018, 5:24 am

I think a new record, 6 cell sqrt-bounding box growth.

Code: Select all

x = 7, y = 15, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3bo$o5bo$3bo12$2bobo!
It raises the question if it makes sense to look for methuselah of 6 or more cells.

The 4 cell pattern also allows for a (somehow messy) 15 cell sqrt-gun (so sqrt-growth):

Code: Select all

x = 30, y = 28, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
26bo$23bo5bo$26bo6$bo3$obo15bobo3$bo5$25bobo5$21bo3$23bobo!
Edit1:
A clean 6 cell version:

Code: Select all

x = 14, y = 3, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
obo3bo4bobo2$5bo!
and the corresponding clean 15 cell sqrt-gun:

Code: Select all

x = 27, y = 27, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
25bo2$25bo3$23bo$25bo4$obo3bo10bobo2$5bo6$24bobo5$20bo3$22bobo!

AbhpzTa
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Location: Ishikawa Prefecture, Japan

Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by AbhpzTa » April 17th, 2018, 7:52 am

2718281828 wrote:Edit1:
This p26 (left) gives an almost p26 G-gun (right), maybe someone finds a way to 'fix' it:

Code: Select all

x = 53, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4bo28bo$2bo6bo21bo6bo$2b2o3bo3bo19b2o3bo3bo$7b5o24b5o$9bo28bo$o28bo22b
o$3bobobo3bobobo16bobobo3bobobo5bo$18bo28bo2b2o$9bo28bo$7b5o24b5o$7bo
3bo3b2o19bo3bo3b2o$9bo6bo21bo6bo$14bo28bo!
p26 G gun:

Code: Select all

x = 20, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo$2bo2b3o$o4bo$2o8bo8bo$4bo5b2o5bo$2o8bo6b2o$o4bo12bo$2bo2b3o8bo$7bo
8b2o$11bo!
100009436650194649 = 94649 * 1056634900001

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Rhombic
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by Rhombic » April 17th, 2018, 1:25 pm

Interesting rake complex:

Code: Select all

x = 28, y = 89, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5b2o$3o2bo$o4b3o$2o2$b2o2bobo$bo$b2o$9bobo$9b3o7$14bo$13bo$8b2o2b2o$7b
2o4b2o$8bo$11bo$9b2o3bo$8b2obo5bo$9b2o5bobo$16b3o$17bo10$21bo$20bo$15b
2o2b2o$14b2o4b2o$15bo$18bo$16b2o3bo$15b2obo5bo$16b2o5bobo$23b3o$24bo
34$25b3o$18b2o5bobo$18bo$18b2o3bo2$17b3o$17bo4b2o$17b2o3bo$22b3o!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

AbhpzTa
Posts: 593
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by AbhpzTa » April 17th, 2018, 1:37 pm

p11, p12, p22 G/R guns:

Code: Select all

x = 68, y = 31, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo11bo43b2o$7b3o7b3o28bo10b2o2bo$5bo3bo7bo3bo26b3o8bo2b2o$46bo3bo7b2o
2$3bo3bobo7bobo3bo$o25bo17bobobo4bobo4bobobo$41bo25bo$bo3bo3bo7bo3bo3b
o$7b3o3bo3b3o22bo6b2ob3o3bo3bo3bo$7bo11bo25b2o2bo2bobo3b3o$10bo5bo29bo
b2o10bo$12b3o29bo$47bo11bo$47b3o3bo3b3o$10bo5bo28bo3bo2b3o2bo3bo$52bob
o$11bo2bo33bo4bo4bo$43bo3b3o7b3o3bo$40bo7bo9bo7bo2$41bo3bo3bo7bo3bo3bo
$47b3o3bo3b3o$47bo11bo$50bo2bo2bo2$53bo2$50bo5bo2$51bo2bo!

Code: Select all

x = 72, y = 37, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo19bo14bo7bo$7bob2o9b2obo20bo$6b2o2bo9bo2b2o16bo2bo4b2o15bo$10b2o7b
2o23bo5bo10b2obo$40bo9b3o3bo4bo2b2o$15bo36bo2b3o2b2o$2o3bobobo4b3o4bob
obo3b2o24bo2bo5bo$bo13bo13bo15bo5bo17bo$b2o12bo12b2o11b2o2b2o3b3o7bobo
3bobob2o$10b2o7b2o21bo2bo5bo18bo$6b2o2bo9bo2b2o17b2o4bo15bo4b2o$6bo5bo
5bo5bo24bob2o7b2o$8bo2b2o5b2o2bo24b2o2bo9bo2b2o$15bo32bob2o3bo5b2o2bo$
9bo11bo23b2o7b3o8b2o$11bo7bo26bo2b2o3bobo3b2obo$10b2o2b3o2b2o25b2o2bo
4bo4bo2b2o$50b2o7b2o2$55bo$13bo26b2o3bobobo4b3o4bobobo3b2o$13b3o25bo
13bo13bo$15bo25b2o12bo12b2o$50b2o7b2o$46b2o2bo9bo2b2o$46bo5bo5bo5bo$
48bo2b2o5b2o2bo$55bo$49bo11bo$51bo7bo$50b2o2b3o2b2o4$53bo$53b3o$55bo!

Code: Select all

x = 93, y = 31, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3bo2bo2bobo49bo$o58bo$13bo$bo9b3o48bo$11bo$9bob2o46bo5bo$11bo4b3o4bo
37b3o$11b3o2bobo2b3o33b2o7b2o17bo$9bo3bo7bo3bo32bo7bo16b3o$58b2o5b2o
16bo3bo$10bo4bo3bo4bo27bo3bo5bo$7bo2bo3bo5bo3bo2bo33bobo$4bo5bo4bo3bo
4bo5bo19bo3bo3bo7b2o3b2o10bobo3bo$53b2o3b2o7bo2bob2o18bo$5bo3bo3bo3bo
3bo3bo3bo24bo3bo7b2o3b2o$11b3o2b3o2b3o26bo10bobo19bo3bo3bo$11bo11bo28b
o3bo5bo20b3o$14bo5bo37b2o5b2o3b2o13bo$58bo7bobobo$16b3o38b2o7b5o2bo$
17bo43b3o$14bo5bo38bo5bo2bo4bo2$15bo2bo43bo$73bo$59bo$61bo$73bo2$70bo$
72bo!
100009436650194649 = 94649 * 1056634900001

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2718281828
Posts: 738
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » April 17th, 2018, 2:08 pm

AbhpzTa wrote: p26 G gun:

Code: Select all

x = 20, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo$2bo2b3o$o4bo$2o8bo8bo$4bo5b2o5bo$2o8bo6b2o$o4bo12bo$2bo2b3o8bo$7bo
8b2o$11bo!
A corresponding p26 R gun:

Code: Select all

x = 22, y = 24, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11bo$9b2ob2o$5bo$3b3o9bo$3bo2bo8b2o4bo$5b2ob2o$4bobo2bo2bo2bo2bo$5b2ob
2o$3bo2bo8b2o4bo$3b3o9bo$5bo$9b2ob2o$11bo$13bo$7bo4b3o$2bo2b3o4bobo$o
4bo7bo$2obo4b2o9b2o$3b2o3b3o6bo2bo$2obo4b2o7b2o$o4bo7bobo2bo$2bo2b3o6b
obo$7bo6bob2o$11bo3bo!

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2718281828
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » April 17th, 2018, 2:10 pm

AbhpzTa wrote:p11, p12, p22 G/R guns:
Wow!
The p11 and p12 guns are amazing. Excellent job, I did not believe that those small periods exists at all.

EDIT1:
Updated G/R gun list up to period 33:
missing:
- R period 9, 10
- G+R period 13, 14, 23, 31 (31 is now known, see below)

Code: Select all

x = 91, y = 1482, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7$13bo5bo17bo$35bo2$13bo5bo18bo2$35bo5bo$13bo5bo$33b2o3bo3b2o$34bo7bo$
13bo5bo14b2o2bo2b2o$28bo3bo$26bo$13bo5bo11bo$31bo2bo$26bo4bo2$28bo3bo$
34b2o2bo2b2o$34bo7bo$33b2o3bo3b2o2$35bo5bo2$38bo2$35bo$37bo8$36bo$34bo
13bo$46bo$37bo$43bo5bo$34bo5bo4bo$44b2o3bo2bo$32b2o3bo3b2o$33bo2b3o2bo
2bo4bo3b2o$33b2o2bo2b2o2b3o6bo$27bo3bo14bo5b2o$25bo$39b2o4b2o$29bobobo
4bob2o4bo2bo$25bo13b2o4b2o$49bo$27bo3bo$33b2o2bo2b2o$33bo2b3o2bo3b2o5b
o$32b2o3bo3b2o2bo6b3o$44b2o3bo4bo$34bo5bo$46bo2bo3bo$37bo15b3o$49bo5bo
$34bo$36bo9bo$48bo7$7bo5bo2bo2bo2$44bo$7bo11bo22b3o$42bo2$7bo5bo2bo2bo
$44bo5bo$39b2o7bo$7bo5bo26bo3bo3b2o$38bo$36bo7bo4bo$7bo5bo2bo2bo14bo5b
2o5b3o$34b2o2bo2bo5bo$38b2o$29b2o$29bo4bo9bo$28b2o4bo2bo4b4o$34bo9bo2$
38b2o$34b2o2bo2bo5bo$34bo5b2o5b3o$36bo7bo4bo$38bo$40bo3bo3b2o$39b2o7bo
$44bo5bo3$42bo$42b3o$44bo4$39bo15bo3bo$37b3o11bo5bo$37bo11b3o$49bo$56b
3o$39bo5bo4b3o$34b2o7b3o5bo$35bo3bo3bo3bo$33bo12b2obo9bo$31bo7bo4bo3bo
8bo$29bo5b2o5b3obo4bo3b3o$29b2o2bo2bo5bo3b3ob3o2bo$33b2o13bo2bo2b2o$
24b2o$24bo4bo9bo4b2o$23b2o4bo2bo4b4o2bob2o6b2o$29bo9bo4b2o8b2o$54bo$
33b2o18bo$29b2o2bo2bo5bo$29bo5b2o5b3o3bo2bo2bo$31bo7bo4bob3o5b3o$33bo
12bo4bo4bo$35bo3bo3b2o$34b2o7bo3bobo3bob2o$39bo5b3o7bo$45bo5bo5bo2$37b
o13bo$37b3o9bo2bo$39bo9b3o$51bo7$7bo5bo2bo2bo24bo$41b2o$42bo$7bo5bo26b
o$45bo2$7bo5bo2bo2bo25bo2$45bo4bo$7bo11bo13bo7b2o5b3o$31bo7bo2bo5bo$
31b2o6b2o$7bo5bo2bo2bo$30bo4bo$35bo2bo$35bo2$39b2o$39bo2bo5bo$41b2o5b
3o$45bo4bo2$45bo2$45bo$40bo$42bo$41b2o$44bo4$38bo3bo$32bo9b3o$44bo2$
37bobobo5$33bobobo2$30bo$30b3o$32bo3bo3$31bo$33bo3bo$32b2o3$34bobobo2$
30bo$32b2o$33bo$31bo3bo2bo$34b2o$38bo$42bo$36bo3bo$33b2o$33bo4bo$35bo
5b2o$34b2o2bo2bo$43bo$36bo3$7bo5bo2bo2bo23bo$45bo2$7bo5bo$40bo6bo$40b
2obobo$7bo5bo2bo2bo22b2ob2o2$31b2o$7bo5bo5bo12bo$30bo2bo3bobobo$30b3o$
7bo5bo2bo2bo12bo2$42b2ob2o$40b2obobo$40bo6bo3$45bo$43bo12$37bo$38bo2bo
$27b2o3bo6b2ob2o$28bobo2bo8bo$26bo3bobobobo7bo$26b3obo2bo7bo$28bo3bo6b
2o$38bo$37bo2bo$39b3o$39bobo$40bo2$34bo11bo$36bo7bo$31bo3b2o7b2o3bo$
34bo2bo2bo2bo2bo$30bo4b2o2b3o2b2o4bo$34bo3b5o3bo$34b2o3b3o3b2o$34b2o4b
o4b2o$38bo3bo$40bo$39b3o3$40bo2$38b2ob2o$38bo2bo$40b2o13$7bo5bo2bo2bo
26bo2$44bo$7bo11bo$39b2o3bo$40bo$7bo11bo18bo5bo$33bo15bo$35bo4b2o5bo$
7bo11bo14b2o2bo2bo5b2o$38b2o2$7bo11bo14bo$33b2o3b2o$34bo$30bo$38b2o$
38bo2bo5b2o$40b2o5bo$49bo$38bo5bo$40bo$39b2o3bo2$44bo2$46bo3$44bo2$42b
o$37b2o$38bo$36bo4b3o2$34bo2bo9bo$32bo6bo5bo$32b2o4b2o5b2o$30bo9bo$35b
o3bo$34b2o3b2obo$35bo3bob3o$30bo11bo$32b2o$32bo$34bo3b2o5b2o$39bo5bo$
37bo9bo2$36bo4b3o$38bo$37b2o$42bo2$44bo3$7bo5bo2bo2bo23bo3bo2$45bo$7bo
5bo5bo$45bo$40bo$7bo5bo2bo2bo22bo2bo2b2o$41b2o5bo$45bo4bo$7bo5bo5bo15b
o5b2o5b3o$37bobo2bo5bo$36b2ob2o$7bo5bo2bo2bo10bo$35bo$34b3o$35bo$30bo$
36b2ob2o$37bobo2bo5bo$35bo5b2o5b3o$43bo3bo2bo$41b2o5bo$42bob3ob2o$40bo
3bobo$44b3o4$43bo3bo6$33bo3bo$35bo$34b3o$35bo2$29bo$39bo$30bo4bo2b3o$
39bo2$40b3o$35bo4bobo$34b3o$35bo$33bo3bo2$35b2o9b2o$33bo2bo9bo2bo$33b
2ob2o7b2ob2o$27bo3bo8b3o4bo7bo$29b2obo3bo3bobo5bo3bo$29bobobobo12bo3bo
$29b2obo3bo11bo3bo$27bo3bo15bo7bo$33b2ob2o7b2ob2o$34bobo9bobo$32bo5bo
5bo5bo$37b2o5b2o2$37b2o2bo2b2o$38bob3obo$36bo3b3o3bo$40b3o$41bo3$39bo
3bo16$7bo5bo2bo2bo18bo$35bo2$7bo5bo5bo16bo2$36bo$7bo5bo2bo2bo$32bo3bo
2$7bo11bo2$32bo3bo$7bo11bo$36bo2$36bo2$35bo$38bo4$36b2o$36bo2bo$38b2o
3$31bobobo2$30bo2$37bo3$39bo$37bo$37b2o$30bo3$35bobobo3$33b2o5b2o$34bo
5bo$32bo4bo4bo3$bo2bo2bo5bo2bo2bo22bo3bo3$7bo5bo5bo$40b2o2bo2b2o$33bo
3bo3bo2bo2bo$bo2bo2bo5bo5bo19bo4bo4bo$39b2o2bobo$40bo$bo11bo5bo11b2o5b
o$32bobobob2o$30bo$bo2bo2bo5bo2bo2bo$35bo$31bo$33bo$32b2o5b2o$40bo2bob
o$38bo5bo4bo$40b2o2bo2bo$41bo2bo2b2o$39bo3$42bo3bo3$39bo3bo4$30bo3$35b
obobo3bobobo3$33b2o13b2o$34bo13bo$32bo17bo2$39bo3bo3$7bo2bo2bo5bo19b2o
3b2o$39bo5bo$35bo2b2o5b2o$13bo5bo13bo7b3o$35b3o4bo2$7bo2bo2bo5bo2$35b
3o$7bo11bo10bo5bo3$7bo2bo2bo5bo$30bo5bo$35b3o4$35b3o4bo$33bo7b3o$35bo
2b2o5b2o$39bo5bo$39b2o3b2o4$39b2o3b2o$39bo2bo2bo$38b2ob3ob2o4$35bo6bo$
37bo$36b2o5$32bo17bo$30b3o17b3o$30bo21bo$33bo15bo$33b2o13b2o$33bo15bo$
30bo21bo$30b3o17b3o$32bo17bo$34bo3bo5bo3bo$34bo3b2o3b2o3bo$32bobo3bo5b
o3bobo2$33bo15bo3$39bo3bo3$bo2bo2bo5bo2bo2bo3$7bo11bo$50bo$48bo$bo2bo
2bo5bo2bo2bo$51bo$39bo$bo11bo23bo$51bo$40bo$bo2bo2bo5bo2bo2bo$37bo5bo
2bo4bo$39b3o$35b2o7b5o2bo$36bo7bobobo$36b2o5b2o3b2o$30bo3bo5bo$28bo10b
obo$32bo3bo7b2o$31b2o3b2o7bo$28bo3bo3bo7b2o$39bobo$30bo3bo5bo$36b2o5b
2o$36bo7bo$35b2o7b2o$39b3o$37bo5bo2$40bo2$37bo$39bo3$41bo$39bo2$42bo2$
39bo5bo2$37b2o3bo3b2o$38bo7bo$38b2o2bo2b2o10$27bo2bo2bobo5bo$24bo15b3o
$37bo2bobo$25bo9b3o3bo$35bo$33bob2o$35bo4b3o4bo$35b3o2bobo2b3o$33bo3bo
7bo3bo2$34bo4bo3bo4bo$31bo2bo3bo5bo3bo2bo$28bo5bo4bo3bo4bo5bo2$29bo3bo
3bo3bo3bo3bo3bo$35b3o2b3o2b3o$35bo11bo$38bo5bo2$40b3o$41bo$38bo5bo2$
39bo2bo8$bo2bo2bo5bo5bo$39bo13b2o$41b2o5bo5bo$7bo5bo5bo20bobo4b2o3bob
2o$41b2o5bo3b2o$38b2o$bo2bo2bo5bo2bo2bo19bo$39b2o2$bo17bo17bobo2bo$39b
o$39bo2bo$bo2bo2bo11bo$39b2o$39bo$38b2o$41b2o5bo3b2o$40bobo4b2o3bob2o$
41b2o5bo5bo$39bo13b2o9$45b2o3b2o$45bo2bo2bo$44b2ob3ob2o$46bobobo3$41bo
6bo$43bo$42b2o5$40bo13bo$38b3o13b3o$38bo2bo11bo2bo$40b2o11b2o4$39b3o
11b3o$40bo13bo5$39b3o4bobo4b3o$39bobo11bobo$40bo3bo5bo3bo$38bo3b3ob3ob
3o3bo$42bo9bo$46bo9$bo2bo2bo5bo2bo2bo$40bo6bo$42bo2bo$7bo5bo31b2o$42bo
2$bo2bo2bo5bo2bo2bo22bo$38bo2$bo17bo$38bo2$bo2bo2bo5bo2bo2bo19bo$41b2o
$42bo$40bo4$42b2o$40bo2bo$40b2ob2o$42bo$36bo2$37bo2$35b2o$35bo$34b2o3$
34bobobo6b2o$45bo$33bo13bo$44bo$39bo2bo8$bo2bo2bo5bo2bo2bo2$41b2ob2o$
7bo5bo28bobo$40bo5bo$42b3o$bo2bo2bo5bo2bo2bo23bo$40b2o3b2o$40bo5bo$bo
11bo5bo19b2o2bo2b2o2$43bo$bo2bo2bo5bo2bo2bo$38bo4bo3$42bo2$39b2o$39bo
2b2o$41b2o$44bo$43b2o4$43bo$41b2ob2o$37bo$35b3o9bo$35bo2bo8b2o4bo$37b
2ob2o$36bobo2bo2bo2bo2bo$37b2ob2o$35bo2bo8b2o4bo$35b3o9bo$37bo$41b2ob
2o$43bo$45bo$39bo4b3o$34bo2b3o4bobo$32bo4bo7bo$32b2obo4b2o9b2o$35b2o3b
3o6bo2bo$32b2obo4b2o7b2o$32bo4bo7bobo2bo$34bo2b3o6bobo$39bo6bob2o$43bo
3bo10$bo2bo2bo5bo2bo2bo34b2o$54bo$53b2o$7bo11bo37bo$31bo24b3o$33bo18b
2o3bo$bo2bo2bo11bo12b2o19bo$44bo8b2o$39bo2b5o$bo17bo19bo2bo3bo$30bo8bo
2bobobo2bo$42bo3bo2bo$bo2bo2bo11bo12b2o8b5o2bo$33bo10bo$31bo$53b2o$53b
o$52b2o3bo$56b3o$57bo$53b2o$54bo$54b2o3$42b2o$40bo2bo$40b2ob2o$42bo$
35bo$35b3o$37bo3$40b3o$40bobo3$34bo13bo$33b3o11b3o$34bo13bo$30bo21bo$
30b3o4bo7bo4b3o$32bo2b3o7b3o2bo$35bo11bo3$40b3o3$40b5o$40bo3bo$39b2obo
b2o$40bo3bo$40b5o3$42b3o6$39b2o5b2o$40bo5bo$38bo9bo$42bo16$51bo2$bo2bo
2bo5bo2bo2bo21b2o9bo$35bo6bo2bobobo$37bo4b2o$7bo5bo5bo16b2o2$34bo7b2o$
bo2bo2bo5bo2bo2bo21bob2o$42b2o2$bo11bo5bo16b2o$37bo4b2o$35bo6bo2bobobo
$bo2bo2bo5bo2bo2bo21b2o9bo2$51bo12$55bo$49bo9bo$51bo5bo$50b2o5b2o4$48b
o4bobo4bo$48b3o2b3o2b3o$50bo7bo3$49bo9bo2$42bo6bo9bo$48b3o7b3o$32b2o2b
o3bo2bo4b3o7b3o$26bo6bo2bo3b2o4bo15bo$28bo4b2obo3bo7bo11bo$27b2o6bo2$
25bo9b2o12b2o2bobo$36bo13bo2b3o$35b2o12b2o2$27b2o6bo$28bo4b2obo3bo$26b
o6bo2bo3b2o13bo$32b2o2bo3bo2bo10b3o$54bobo$42bo12bo$49bo11bo$47bo15bo$
50bo9bo$49b3o7b3o4$49b3o7b3o$52bo5bo$51bo7bo$49b3o3bo3b3o$49bo4b3o4bo$
54bobo$55bo2$51b2o5b2o$52bo5bo$50bo9bo$54bo9$bo2bo2bo5bo2bo2bo$50b2o$
48bo2bo$7bo5bo5bo28b2ob2o$50bo2$bo2bo2bo5bo2bo2bo29bo$47b5o$47bobobo$b
o17bo26b2o3b2o5bo$39bo5bo7bo$37b3o3b3o7b3o$bo2bo2bo11bo17bo2bo2bo11bo$
39bo2b3o9b3o$38b2o3bo11bo$43b3o7b3o4bo$45bo7bo5b3o$46b2o3b2o6bo2bo$47b
obobo17b2o$47b5o17bo2bo$49bo18b2ob2o2$48bo$46b2ob2o$47bo2bo$47b2o3bo
17bobo$51b2o$81bo$40b2o39b3o$40bo2bo4bo4b2o11bo9bo6bo$39b2ob2o2b3o3b2o
bo3b3o19bo$46bo6b2o4bobo4bo9bo4b2o$48bo12bo$47b2o2$41bobo26bobo2$65b2o
$52bo12bo$31b2o4bo9bo4bobo4b2o6bo$32bo19b3o3bob2o3b3o2b2ob2o$30bo6bo9b
o11b2o4bo4bo2bo$30b3o39b2o$32bo$51bo9bo$41bobo15bo3bo5$41b2ob2o$41bo2b
o$43b2o6$53b2o$51bo2bo$51b2ob2o5$51bobo2$42bo$40b3o$40bo6bo9bo4b2o$42b
o19bo$41b2o4bo9bo6bo$62b3o$62bo$42b2o$42bo2bo5bobo$41b2ob2o2$37bo2$38b
o3bo7b3o$41b3o8bo$37bo3bobo7b2o$42bo3$52bo$42b2o7bobo3bo$42bo8b3o$42b
3o7bo3bo$38bo$57bo2$49b2ob2o$41bobo5bo2bo$51b2o$32bo$30b3o$30bo6bo9bo
4b2o$32bo19bo$31b2o4bo9bo6bo$52b3o$52bo2$41bobo5$39b2ob2o$40bo2bo$40b
2o8$bo2bo2bo5bo2bo2bo$48bo$41b2o4bo$7bo5bo5bo22bobo6b2o$40bo3b2o4b3o$
40b3obo6b2o$bo2bo2bo5bo5bo16bo5bo4bo6bo$38bobo7bo$37b2o$7bo5bo5bo27b2o
$37b2o8bo$37bo9b2o$bo2bo2bo5bo2bo2bo19bo$48bo$42bo4bo6bo$40b3obo6b2o$
40bo3b2o4b3o$42bobo6b2o$41b2o4bo$48bo11$39b2o3b2o$39bo2bo2bo$38b2ob3ob
2o$40bobobo3$42bo$35bo$35b3o$37bo5$37bo7bo2$34b3o9b3o$34b3o9b3o$35bo
11bo2$32bo5bobobobo5bo$33bo3bo2b3o2bo3bo2$35bo11bo$34b3o9b3o2$33b2ob2o
7b2ob2o$33bo2bo9bo2bo$35b2o7bob2o$39bo$41bob2o$40b2obo$45bo8$7bo2bo2bo
5bo29bo8bo$51bo4bo$50b2o4b2o$13bo5bo27bo6bo6bo$45b5o2b5o2b5o$45bo3bo2b
o3bo2bo3bo$7bo2bo2bo5bo24b2obobob2obob2obobob2o$45bo3bo2bo3bo2bo3bo$
45b5o2b5o2b5o$13bo5bo27bo6bo6bo$50b2o5b2o$48bo2bo5bo2bo$7bo2bo2bo5bo
28b2o9b2o$54bo$49b2o$50bo7b2o$50b2o2b2o2bo$54b2ob2o$30bo25bo$32bo11bo$
31b2o9b5o9b2o$42bo3bo10bo$29bo2b2o7b2obob2o8b2o$33bo8bo3bo$32b2o8b5o9b
o$44bo9b2ob2o$31b2o17b2o2b2o2bo$32bo17bo7b2o$30bo18b2o$54bo$48b2o9b2o$
48bo2bo5bo2bo$50b2o5b2o$47bo6bo6bo$45b5o2b5o2b5o$45bo3bo2bo3bo2bo3bo$
44b2obobob2obob2obobob2o$45bo3bo2bo3bo2bo3bo$45b5o2b5o2b5o$47bo6bo6bo$
50b2o4b2o$51bo4bo$49bo8bo6$48b2o$46bo2bo$46b2ob2o$48bo$41bo$41b3o$43bo
5$32bo29bo$30b5o25b5o$30bo3bo25bo3bo$29b2obob2o23b2obob2o$30bo3bo2b2o
17b2o2bo3bo$30b5o3bo2bo11bo2bo3b5o$26bo9bo4b3o7b3o4bo9bo$28bo3bo3b2o5b
o2b3o2bo5b2o3bo3bo$27b2ob5o9bobobobo9b5ob2o$30bo3bo7b2o7b2o7bo3bo$29b
2obob2o3bo2b2o7b2o2bo3b2obob2o$30bo3bo25bo3bo$30b5o25b5o$27b2o3bo3b2o
4bo9bo4b2o3bo3b2o$28bo7bo3b3o9b3o3bo7bo$26bo3b5o3bobo13bobo3b5o3bo$30b
o3bo2b2o17b2o2bo3bo$29b2obob2o12bo10b2obob2o$30bo3bo11b5o9bo3bo$30b5o
11bo3bo9b5o$32bo12b2obob2o10bo$46bo3bo$46b5o$48bo8$48b3o$45b2obobob2o$
46bo5bo$44bo9bo$48bo3$bo2bo2bo5bo2bo2bo19b2o$40bo$38bo9b2o$7bo11bo29bo
$37bo11b2o$41bobobo$bo2bo2bo5bo2bo2bo$31bo$33bo$7bo5bo18b2o11bo2$30bo
4b2o$bo2bo2bo5bo2bo2bo16bo$35b2o2$32b2o11bo$33bo$31bo2$41bobobo$37bo
11b2o$49bo$38bo9b2o$40bo$39b2o12$41bo$42bo2bo$31b2o3bo6b2ob2o$32bobo2b
o8bo$30bo3bobobobo7bo$30b3obo2bo7bo$32bo3bo6b2o$42bo$41bo2bo$43b3o$43b
obo$44bo2$36bo15bo$34b3o15b3o$34bo19bo$37bo13bo2$41bo5bo$36b3o11b3o$
36b3o11b3o$36b3o11b3o2$32b2o21b2o$32bo4bo6bo6bo4bo$34bo8b3o8bo$36bo6bo
bo6bo$44bo3$40b2o5b2o$41bo5bo$39bo9bo$43bo14$bo2bo2bo5bo2bo2bo29b2o$
49bo2bo$48b2ob2o$7bo11bo30bo3$bo2bo2bo5bo2bo2bo$46b2o3b2o$47bo3bo$7bo
11bo27b5o$49bo$31b2o$bo2bo2bo5bo2bo2bo12bo$30bo6bo6b2o$30b3o12bo$32bo
4bo6b2o4$48bobo$48b3o2$61bo$54b3o4b3o$44bo18bo$43b3o15bo$43bobo15b2o$
44bo2$41b2o3b2o$42bobobo$42b5o$44bo2$43bo$41b2ob2o$41bo2bo$43b2o3$53b
2o$53bo2bo$52b2ob2o5$52bobo4$31b2o5bo$32bo3b3o$30bo2bo2bo4b2o$30b3o2b
3o2bob2o8bobo$32bo3bo4b2o9b3o$36b3o21bo$38bo19b3o$47b2o9bo6bo$47bo9b2o
6b3o$47b2o9bo5bo2bo$58b3o4bo$60bo4b2o2$44bo$44bo$44bo5$41b2ob2o2b2o$
41bo2bo4bo$43b2o2bo$54bo$52b2ob2o$52bo2bo$54b2o!
Edit2:
reduced p16 R-gun in list (new vs old)

Code: Select all

x = 48, y = 88, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$24bo$25bo2bo$14b2o3bo6b2ob2o$15bobo2bo8bo$13bo3bobobobo7bo$13b3obo2bo
7bo$15bo3bo6b2o$25bo$24bo2bo$26b3o$26bobo$27bo2$21bo11bo$23bo7bo$18bo
3b2o7b2o3bo$21bo2bo2bo2bo2bo$17bo4b2o2b3o2b2o4bo$21bo3b5o3bo$21b2o3b3o
3b2o$21b2o4bo4b2o$25bo3bo$27bo$26b3o3$27bo2$25b2ob2o$25bo2bo$27b2o7$
33b2o$33bo2bo$32b2ob2o7$33b3o$27bo6bo6bo$26b3o11b3o$26b4o9b4o$20bo3bob
3o5bo5b3obo$22bo4bo5bobo5bo$18b3o4bo3b2o2b3o2b2o3bo$17b5o8bo3bo3bo$18b
3o3bo3bo11bo$19bo2bo$22b2o2$8b2o24bo$9bo6bo4b2o6b2o2bobo$7bo8b2o2bob2o
4bob2ob3o$7b3o6bo4b2o6b2o3bo$9bo2$22b2o$19bo2bo11b3o$18b3o3bo9bobo$17b
5o$18b3o$22bo6bo11bo$20bo10bo7bo$26bo3b2o7b2o3bo2$25bo4b2o2b3o2b2o4bo$
31bo2bobo2bo$30bo3b3o3bo$29b2o9b2o$33bo3bo2$34b3o$34bobo$33bobobo$34b
3o2$33b2ob2o$34bo2bo$34b2o!
and the same for p32 (new vs old):

Code: Select all

x = 50, y = 98, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$27bo$28bo2bo$17b2o3bo6b2ob2o$18bobo2bo8bo$16bo3bobobobo7bo$16b3obo2b
o7bo$18bo3bo6b2o$28bo$27bo2bo$29b3o$29bobo$30bo2$22bo15bo$20b3o15b3o$
20bo19bo$23bo13bo2$27bo5bo$22b3o11b3o$22b3o11b3o$22b3o11b3o2$18b2o21b
2o$18bo4bo6bo6bo4bo$20bo8b3o8bo$22bo6bobo6bo$30bo3$26b2o5b2o$27bo5bo$
25bo9bo$29bo8$32bo$28bo9bo$30bo5bo$29b2o5b2o3$33bo$25bo6bobo6bo$23bo8b
3o8bo$21bo4bo6bo6bo4bo$21b2o21b2o2$10b2o13b3o11b3o$11bo13b3o11b3o$9bo
9b2o4b3o11b3o$20bo9bo5bo$8bo5bo3bob2o$14b2o3bo6bo13bo$14bo8bo19bo$2bo
20b3o15b3o$4bo11b2o7bo15bo$3b2o7bo3b2o$11bo21bo$12b2o14b2o2bobo$11bob
2o12bob2ob3o$bo10b2o14b2o3bo$11bo$3b2o7bo3b2o$4bo11b2o$2bo30b3o$14bo
18bobo$14b2o3bo$8bo5bo3bob2o$20bo5bo15bo$9bo9b2o3b3o15b3o$11bo12bo19bo
$10b2o$26b3o11b3o$26b3o2bo5bo2b3o$27bo13bo2$27bo13bo$26b3o11b3o$22b2o
2b3o11b3o2b2o$22bo23bo$24bo8b3o8bo$26bo6bobo6bo4$30b2o5b2o$31bo5bo$29b
o9bo$33bo!
EDIT3: added p31 to the list.
Last edited by 2718281828 on April 18th, 2018, 10:48 am, edited 5 times in total.

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » April 17th, 2018, 2:31 pm

p11 and p13 180° G to R reflectors:

Code: Select all

x = 40, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
29bo$6bo21bobo$5bobo20b3o$5b3o21bo$6bo3$o22bo$2bo22bo$b2o21b2o2$3b2o4b
o4b2o10b2o4bo4b2o$4bo9bo12bo9bo$2bo6bo6bo8bo6bo6bo$28bo7bo2$27bo9bo$
27b3o5b3o$29bo5bo!
It likely applies to similar oscillators as well, like this p8 with two options:

Code: Select all

x = 19, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
10bo$8bo$8b2o3bo$11bo$11b2o3bo$3b2o$2bob2o8bo2bo$3b2o$14bo6$15bo$14b3o
$14bobo$15bo!
Edit1:
Something different:
the snowflake signal can create a dot using a stable pattern:

Code: Select all

x = 17, y = 26, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
14b2o$15bo$15b2o3$10bobo3bo3$15b2o$15bo$14b2o4$14b2o$15bo$10bo4b2o$8b
5o$8bo3bo$7b2obob2o2bo$8bo3bo$3b3o2b5o$3bobo4bo4b2o$15bo$14b2o!
maybe this can be used to construct a simple snowflake-signal to G/R

dani
Posts: 1222
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by dani » April 17th, 2018, 6:43 pm

Amazing job on the guns! I doubt a p9/p10 R gun is possible within reasonable amounts of time.

3G+D->G+(1&2)R+2D:

Code: Select all

x = 53, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
b2o28b2o$ob2o26bob2o$b2o13b2o13b2o13b2o$17bo29bo$16b2o4bo23b2o4bo4$12b
2o29b2o$13bo28bob2o$12b2o29b2o!
Found while trying to look for a tractor beam reaction (push dot + side g), similar to OTCA metapixel's clock.

Fun knightwise pulling reaction:

Code: Select all

x = 60, y = 15, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
56bo$54b5o$54bo3bo$47b2o4b2obob2o$36b2o8bob2o4bo3bo$24b2o11bo9b2o5b5o$
13b2o8bob2o9b2o18bo$b2o11bo9b2o$ob2o9b2o40b2o$b2o40b2o11bo$32b2o8bob2o
9b2o$20b2o11bo9b2o$9b2o8bob2o9b2o$10bo9b2o$9b2o!
And another:

Code: Select all

x = 121, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2o$bo25b2o$2o26bo25b2o61bo$27b2o26bo25b2o32b5o$54b2o26bo25b2o5bo3bo$
81b2o26bo4b2obob2o$8b2o98b2o5bo3bo$9bo25b2o78b5o$8b2o26bo25b2o53bo$35b
2o26bo25b2o$62b2o26bo25b2o$89b2o26bo$116b2o!

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Majestas32
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by Majestas32 » April 17th, 2018, 11:03 pm

Technically these are actually (5,1) and (7,1)
Searching:
b2-a5k6n7cs12-i3ij4k5j8
b2-a3c7cs12-i

Currently looking for help searching these rules.

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » April 18th, 2018, 4:10 am

A recipe for a stable snowflake-signal to R (or G):

Code: Select all

x = 33, y = 41, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$14bo$12b5o$12bo3bo$11b2obob2o2bo$7b3o2bo3bo$7bobo2b5o2bo$14bo10$15bo$
15bobo$15b3o3$8bo$6b5o$6bo3bo$5b2obob2o$6bo3bo3b3o$6b5o3bobo$8bo5$18b
3o$18bobo$20bo!
I just created a p3 version (as we have the small p3-splitter):

Code: Select all

x = 70, y = 259, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$56bo$54bo$54b2o3$54bo$52b5o$31b2o3b2o14bo3bo$31bo2bo2bo13b2obob2o$30b
2o5b2o13bo3bo$34bo17b5o$9bo23bobo18bo5bo$7b3o48b5o5bo$7bo26bo23bo3bo3b
o$9bo47b2obob2o2b2o$8b2o3bo2bo41bo3bo$9bo24bo23b5o$7bo52bo$7b3o$9bo16$
40bo$7bo32b3o$5b5o2bo29bo$5bo3bo28bo$4b2obob2o2bo19bo2bo2bobo$3o2bo3bo
28bo$obo2b5o32bo$7bo32b3o$40bo3$7bo$5b3o$5bo35bo$9bo29b5o$6bobo2bo27bo
3bo$9bo28b2obob2o2b2o$5bo33bo3bo3bo$5b3o31b5o5bo$7bo3b2o22bo5bo$12bo
20b5o$10bo22bo3bo$32b2obob2o$33bo3bo$33b5o$35bo3$24bo10b2o$22bo13bo$
22b2o10bo$34b2o$60bo$58b5o5bo$12bo45bo3bo3bo$14bo42b2obob2o2b2o$13b2o
5bo37bo3bo$58b5o$15bo44bo$17bo3b2o$22bo$20bo178$bo$3o$obo$bo!
This first snowflake-signal to R has a minimal repeat time of 429 which likely can be improved.

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » April 18th, 2018, 4:48 am

toroidalet wrote: there might be a c/17 ship:

Code: Select all

x = 10, y = 33, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6bo$4b5o$4bo3bo$3b2obob2o$4bo3bo$4b5o$6bo$4bo$2b5o$2bo3bo$4bo5$5b3o$5b
obo$5bo5$2bo$b3o$o2bo6$5b3o$5bobo$7bo!
it can support itself:

Code: Select all

x = 106, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
15bo24bo$15b3o4b2o16b3o4b2o15b3o29b2o$3bo5bo13bo18bo5bo3bo10b2ob2o3bo
5bo19bo4bo$b5o4b2o9bob2o3bo9bobob2o2bob2o2bo6b2o2bo3bo2b3o4b3o4b2o3b3o
3bob2ob5o$bo3bo5bo11bo3b3o12bo5bo4bo6bo2b2ob2o3bo7bo5bo11bo2bo3bo$2obo
b2o2bob2o2b3o4b2o2b5o2bobo4b3o4b2o9bob2o2b3o8b3ob2o2bob2o9b2ob2obob2o$
bo3bo5bo3bo11b3o10bo12bo6bo18bo5bo14bo3bo$b5o4b2o16bo23bo6b2o16b3o4b2o
14b5o$3bo5bo42bo24bo24bo!
Next to the support by itself and the back R (left), it can be supported by G side stream:

Code: Select all

x = 89, y = 33, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$14bo$12b5o$12bo3bo$11b2obob2o$12bo3bo$12b5o$14bo33bo$12bo33b5o$10b5o
31bo3bo$10bo3bo30b2obob2o$12bo33bo3bo$46b5o$36bo11bo$5b2o27b3o9bo$5bo
28bo9b5o35b2o$4b2o7b3o16b3o9bo3bo27b2o6bo$8bo4bobo16bo13bo20b2o6b2obo
5b2o$13bo16b3o26b2o6bo8b2o$8bo21bo19b2o6b2obo5b2o$4bo24b2o19bo8b2o$8bo
4bo36b2o$17bo$13bo2$13bo$5bo10b2o$16bo$15b2o!
Similarly to the potential c/17 ship, there might be a c/24 ship:

Code: Select all

x = 70, y = 64, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9bo$7b5o$7bo3bo$6b2obob2o$7bo3bo$7b5o$9bo$7bo$5b5o$5bo3bo$4b2obob2o$5b
o3bo$5b5o$7bo3$56bo$54b5o$54bo3bo$53b2obob2o$54bo3bo$6b3o45b5o$6bobo
47bo$54bo$52b5o$52bo3bo$51b2obob2o$52bo3bo$52b5o$54bo3$6b3o$6bobo3$47b
o$40bo2bo2b3o4b3o$37bo9bo5bobo$50bo$38bo9b3o$48bo$46bob2o4bo$6b3o39bo
4b3o4bo$6bobo39b3o2bobo2b3o$46bo3bo3bo3bo3bo3$44bobobo4bobo4bobobo$41b
o25bo2$42bo3bo3bo2b3o2bo3bo3bo$48b3o2b3o2b3o$48bo5bo5bo$6b3o42bo5bo$6b
obo45bo$53b3o$53b3o$51bo5bo2$52bo2bo!
It can be supported by a p22 G stream.

Edit1:
It can be supported by the R (both colours) and the G:

Code: Select all

x = 24, y = 56, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
13bo$11b5o$11bo3bo$10b2obob2o$11bo3bo$11b5o$13bo$11bo$9b5o$9bo3bo$8b2o
bob2o$9bo3bo$9b5o$11bo8$10b3o$10bobo$10bo9$10b3o$10bobo$10bo9$10b3o$
10bobo$12bo9$10b3o$10bobo!

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » April 18th, 2018, 10:41 am

p31 G and R gun:

Code: Select all

x = 58, y = 107, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6$30bo8bo$32bo4bo$31b2o4b2o$28bo6bo6bo$26b5o2b5o2b5o$26bo3bo2bo3bo2bo
3bo$25b2obobob2obob2obobob2o$26bo3bo2bo3bo2bo3bo$26b5o2b5o2b5o$28bo6bo
6bo$31b2o5b2o$29bo2bo5bo2bo$29b2o9b2o$35bo$30b2o$31bo7b2o$31b2o2b2o2bo
$35b2ob2o$11bo25bo$13bo11bo$12b2o9b5o9b2o$23bo3bo10bo$10bo2b2o7b2obob
2o8b2o$14bo8bo3bo$13b2o8b5o9bo$25bo9b2ob2o$12b2o17b2o2b2o2bo$13bo17bo
7b2o$11bo18b2o$35bo$29b2o9b2o$29bo2bo5bo2bo$31b2o5b2o$28bo6bo6bo$26b5o
2b5o2b5o$26bo3bo2bo3bo2bo3bo$25b2obobob2obob2obobob2o$26bo3bo2bo3bo2bo
3bo$26b5o2b5o2b5o$28bo6bo6bo$31b2o4b2o$32bo4bo$30bo8bo6$29b2o$27bo2bo$
27b2ob2o$29bo$22bo$22b3o$24bo5$13bo29bo$11b5o25b5o$11bo3bo25bo3bo$10b
2obob2o23b2obob2o$11bo3bo2b2o17b2o2bo3bo$11b5o3bo2bo11bo2bo3b5o$7bo9bo
4b3o7b3o4bo9bo$9bo3bo3b2o5bo2b3o2bo5b2o3bo3bo$8b2ob5o9bobobobo9b5ob2o$
11bo3bo7b2o7b2o7bo3bo$10b2obob2o3bo2b2o7b2o2bo3b2obob2o$11bo3bo25bo3bo
$11b5o25b5o$8b2o3bo3b2o4bo9bo4b2o3bo3b2o$9bo7bo3b3o9b3o3bo7bo$7bo3b5o
3bobo13bobo3b5o3bo$11bo3bo2b2o17b2o2bo3bo$10b2obob2o12bo10b2obob2o$11b
o3bo11b5o9bo3bo$11b5o11bo3bo9b5o$13bo12b2obob2o10bo$27bo3bo$27b5o$29bo
8$29b3o$26b2obobob2o$27bo5bo$25bo9bo$29bo!
Now p23 is the largest unknown gun period, followed by p14 and p13.

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by AbhpzTa » April 18th, 2018, 2:27 pm

p23 G gun:

Code: Select all

x = 42, y = 40, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
13bo$11bo5bo$11b2o2bo$15b2o$6b2o$6bo7b3o$4b3o3bo3bobo4bo$4bo9b3o3b3o$
3b2o15bobo$b2o4b2o6b2o4bo$2bobo2bo3b2o2bo$o4b3o4bo4bo$3o2bo4bob2o6b3o
7b2o$2bo10bob2o3bobo3b2o2bo$12b2o2bo9bo2b2o$16b2o7b2o$7b2o25b2o$7bo27b
o$5b3o3bobobo4bobo4bobobo3b3o$5bo2bo25bo2bo$4b2o31b2o$2b2o4b2o6b2o2bob
o2b2o6b2o4b2o$3bo4bo3b2o2bo4bo4bo2b2o3bo4bo$bo4b3o3bo5bo5bo5bo3b3o4bo$
b3o2bo7bo2b2o5b2o2bo7bo2b3o$3bo35bo$15bo4b3o4bo$17bo7bo$16b2o7b2o$21bo
2$18bo$16b3o4bo$16bo2bob3o$15b2o4bo$17bob3o$16bo2bo$14b2ob2o$15bo2bo$
15b2o!
p23 R gun:

Code: Select all

x = 41, y = 41, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
13bo$11bo5bo$11b2o2bo$15b2o$6b2o4bo$6bo$4b3obobo3bobo$4bo2bo$3b2o7bo$b
2o2bob2o6b2o$2bo4bo3b2o2bo$o4b3o4bob2o$3o2bo4bo$2bo7b3o6b3o7b2o$12bob
2o3bobo3b2o2bo$11b2o2bo9bo2b2o$15b2o7b2o$6b2o25b2o$6bo13bo13bo$4b3o3bo
bobo4b3o4bobobo3b3o$4bo15bo15bo$3b2o15bo15b2o$b2o4b2o6b2o7b2o6b2o4b2o$
2bobo2bo3b2o2bo9bo2b2o3bo2bobo$o4b3o3bo5bo5bo5bo3b3o4bo$3o2bo7bo2b2o5b
2o2bo7bo2b3o$2bo17bo17bo$14bo11bo$16bo7bo$15b2o2b3o2b2o3$17bo$15b3o4bo
$15bo4b3o$14b2o4bo$18b3o$15bo2bo$13b2ob2o$14bo2bo$14b2o!

EDIT:
p13 G gun:

Code: Select all

x = 29, y = 21, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4bo3bo11bo3bo$6bo3bo7bo3bo$5b2o2b2o7b2o2b2o$o27bo$7bo13bo$3bo2b3o4bobo
4b3o2bo$7bo13bo$o27bo$5b2o2b2o2bobo2b2o2b2o$5bo3bo4bo4bo3bo$7bo3bo5bo
3bo$10b2o5b2o2$9bo3bobo3bo$11bo5bo$10b2o5b2o2$14bo3$12bo3bo!
p13 R gun:

Code: Select all

x = 30, y = 29, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo3bo10b2o3bo$7bo3bo8bo2bo$6b2o2b2o7b2o2b2o$bo13bo13bo$9bo4b3o3bo3b2o
$3bobob5o2bo2bo2bo3b3o$9bo7bo2bo3b2o$bo27bo$6b2o2b2o7b2o2b2o$6bo3bo8bo
3bo$5b2o2b2o7b2o2b2o$o27bo$7bo13bo$3bo2b3o4bobo4b3o2bo$7bo13bo$o27bo$
5b2o2b2o2bobo2b2o2b2o$5bo3bo4bo4bo3bo$7bo3bo5bo3bo$10b2o5b2o2$9bo3bobo
3bo$11bo5bo$10b2o5b2o2$14bo3$12bo3bo!
100009436650194649 = 94649 * 1056634900001

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » April 19th, 2018, 11:27 am

AbhpzTa wrote:p23 G gun:

Code: Select all

RLE
p23 R gun:

Code: Select all

RLE
EDIT:
p13 G gun:

Code: Select all

RLE
p13 R gun:

Code: Select all

RLE
Excellent. Now, only p14 is missing then have G-guns for all possible periods.

But p14 seems to be difficult. One option to receive a gun would be to use the reflector principle:

Code: Select all

x = 52, y = 24, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8$25b3o$25bobo$9b3o29b3o$7bobobobo25bobobobo2bo$46b3o$23bobobo19bo$25b
3o$6b2o14b2o14b2o$6bo5bo9bo5bo9bo5b2o$8bobo13bobo13bobo2bo$7b2ob2o11b
2ob2o11b2ob2o!
But then we would need a very specific sparking p7 or p14 oscillator.

Alternatively, we 'just' find a new method. However, there are not many sparking p14 oscillators or reaction.
Here, a list of some p14 oscillators that might be used:

Code: Select all

x = 116, y = 29, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3$67bo3bo$89bo3bo11bo3bo$6bo3bo15bo3bo17bo16bo7bo12bo4bo4bo5bo4bo4bo$
8bo19bo17bo16b3o2b3o2b3o12bobobobo9bobobobo$5bobobobo13bobobobo14b2o
15bo5bo5bo11b2ob3ob2o7b2ob3ob2o$3b3ob3ob3o9b3ob3ob3o31bo7bo12bo15bo$3b
o9bo9bo9bo11bo18b2o7b2o9b3o13b3o$84bo2bo12bo2bo$45bo40bo9bo5bo8bo$24bo
14bo11bo33b2o7b3o4b2o6b3o$26bo12b3o3bo3b3o20bo21bo14bo$6b2o33bo7bo$7bo
82bo$5bo41bo16b2o7b2o29bo$65bo7bo$63bo5bo5bo14bo$63b3o2b3o2b3o12b2ob2o
11bo$65bo7bo15bo2bo9b2ob2o$89b2o12bo2bo$67bo3bo31b2o!
And a few p14 reactions which create a dot or ddot:

Code: Select all

x = 49, y = 27, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$5bo3bo12bo3bo13bo3bo$2bo4bo4bo6bo4bo4bo7bo4bo4bo$4bobobobo10bobobobo
11bobobobo$3b2ob3ob2o8b2ob3ob2o9b2ob3ob2o$2bo16bo17bo$3o14b3o15b3o$o2b
o13bo2bo14bo2bo$2bo9bo6bo8bo8bo8bo$b2o7b3o5b2o6b3o7b2o6b3o$10bo15bo17b
o4$44bo$36b2o6b3o$37bo8bo$35bo2bo$35b3o$37bo$38b2ob3ob2o$39bobobobo$
37bo4bo4bo$40bo3bo!
Edit1:
also this one looks quite promising:

Code: Select all

x = 17, y = 25, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo3bo$2bo4bo4bo$4bobobobo$3b2ob3ob2o$2bo$3o$o2bo$2bo8bo$b2o6bo$9b2o3$
4bo3$9b2o$b2o6bo$2bo8bo$o2bo$3o$2bo$3b2ob3ob2o$4bobobobo$2bo4bo4bo$5bo
3bo!
almst there:

Code: Select all

x = 15, y = 26, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo3bo$2bo4bo4bo$4bobobobo$3b2ob3ob2o$2bo$3o$o2bo$2bo8bo$b2o6bo4$4bo4$
b2o6bo$2bo8bo$o2bo$3o$2bo$3b2ob3ob2o$4bobobobo$2bo4bo4bo$5bo3bo!

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by AbhpzTa » April 19th, 2018, 2:55 pm

2718281828 wrote:
...

Alternatively, we 'just' find a new method. However, there are not many sparking p14 oscillators or reaction.
Here, a list of some p14 oscillators that might be used:

Code: Select all

x = 116, y = 29, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3$67bo3bo$89bo3bo11bo3bo$6bo3bo15bo3bo17bo16bo7bo12bo4bo4bo5bo4bo4bo$
8bo19bo17bo16b3o2b3o2b3o12bobobobo9bobobobo$5bobobobo13bobobobo14b2o
15bo5bo5bo11b2ob3ob2o7b2ob3ob2o$3b3ob3ob3o9b3ob3ob3o31bo7bo12bo15bo$3b
o9bo9bo9bo11bo18b2o7b2o9b3o13b3o$84bo2bo12bo2bo$45bo40bo9bo5bo8bo$24bo
14bo11bo33b2o7b3o4b2o6b3o$26bo12b3o3bo3b3o20bo21bo14bo$6b2o33bo7bo$7bo
82bo$5bo41bo16b2o7b2o29bo$65bo7bo$63bo5bo5bo14bo$63b3o2b3o2b3o12b2ob2o
11bo$65bo7bo15bo2bo9b2ob2o$89b2o12bo2bo$67bo3bo31b2o!
And a few p14 reactions which create a dot or ddot:

Code: Select all

x = 49, y = 27, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$5bo3bo12bo3bo13bo3bo$2bo4bo4bo6bo4bo4bo7bo4bo4bo$4bobobobo10bobobobo
11bobobobo$3b2ob3ob2o8b2ob3ob2o9b2ob3ob2o$2bo16bo17bo$3o14b3o15b3o$o2b
o13bo2bo14bo2bo$2bo9bo6bo8bo8bo8bo$b2o7b3o5b2o6b3o7b2o6b3o$10bo15bo17b
o4$44bo$36b2o6b3o$37bo8bo$35bo2bo$35b3o$37bo$38b2ob3ob2o$39bobobobo$
37bo4bo4bo$40bo3bo!
...
p14 G gun:

Code: Select all

x = 16, y = 25, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo3bo$9bo$5b2o5b2o$3bo2bo5bo2bo$3b2o9b2o$8bobo$3b2o9b2o$3bo2bo5bo2bo$
2b2ob2o5b2o$4bo$o$3b2o$2b3o$3b2o$o$4bo$2b2ob2o5b2o$3bo2bo5bo2bo$3b2o9b
2o$8bobo$3b2o9b2o$3bo2bo5bo2bo$5b2o5b2o$9bo$7bo3bo!
100009436650194649 = 94649 * 1056634900001

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » April 20th, 2018, 11:49 am

AbhpzTa wrote: p14 G gun:

Code: Select all

x = 16, y = 25, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo3bo$9bo$5b2o5b2o$3bo2bo5bo2bo$3b2o9b2o$8bobo$3b2o9b2o$3bo2bo5bo2bo$
2b2ob2o5b2o$4bo$o$3b2o$2b3o$3b2o$o$4bo$2b2ob2o5b2o$3bo2bo5bo2bo$3b2o9b
2o$8bobo$3b2o9b2o$3bo2bo5bo2bo$5b2o5b2o$9bo$7bo3bo!
Great job, so we are done for the G-guns for all possible periods we true period guns. Is there another CA rule where this is known as well?

The R-gun seems to be tricky, the 'standard method' for small period guns to convert the G to R seem to fail (left):

Code: Select all

x = 68, y = 29, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4$11bo11bo$11b3o7b3o$13bo7bo$55b2o5b2o$4b2o5b2o9b2o5b2o24bo6bo$5bo6bo
9bo6bo13b2o5b2o3b2o5b2o$4b2o5b2o9b2o5b2o13bo6bo$43b2o5b2o$13bo7bo31bo$
11b3o7b3o$11bo4bo6bo$15b3o35bo$15bobo33b2ob2o$16bo34bo2bo$53b2o3$16bo$
15b3o$15bobo$16bo!
The other synthesis (right) which uses a dot+2G has only a minimal repeat time of 16 (but fails for 17 similarly as the 3G to R synthesis):

Code: Select all

x = 33, y = 20, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5$19b2o6b2o$19bo7bo$6b2o6b2o3b2o6b2o$7bo7bo$6b2o6b2o$17bo3$17bo$15b2ob
2o$15bo2bo$17b2o!
Still it slightly improves the p28 R-gun which still used the 3G-synthesis:

Code: Select all

x = 46, y = 107, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$33bo$27bo9bo$29bo5bo$28b2o5b2o4$26bo4bobo4bo$26b3o2b3o2b3o$28bo7bo3$
27bo9bo2$20bo6bo9bo$26b3o7b3o$10b2o2bo3bo2bo4b3o7b3o$4bo6bo2bo3b2o4bo
15bo$6bo4b2obo3bo7bo11bo$5b2o6bo2$3bo9b2o12b2o2bobo$14bo13bo2b3o$13b2o
12b2o2$5b2o6bo$6bo4b2obo3bo$4bo6bo2bo3b2o13bo$10b2o2bo3bo2bo10b3o$32bo
bo$20bo12bo$27bo11bo$25bo15bo$28bo9bo$27b3o7b3o4$27b3o7b3o$30bo5bo$29b
o7bo$27b3o3bo3b3o$27bo4b3o4bo$32bobo$33bo2$29b2o5b2o$30bo5bo$28bo9bo$
32bo8$33bo$27bo9bo$29bo5bo$28b2o5b2o3$31bobo$26bo4b3o4bo$26b3o7b3o$28b
o7bo2$26b3o7b3o$26bobo7bobo$25bobobo5bobobo$26bobo7bobo$26b3o7b3o2$24b
o15bo$26bo11bo2$31bobo$25b2o4b3o$26bo$24bo2bo2bo$24b3o$26bo6b3o$33bobo
3$28bo11bo$26bo15bo$28b3o7b3o$28b3o7b3o$29bo9bo2$29bo9bo3$30bo7bo$28b
3o2b3o2b3o$28bo4bobo4bo4$30b2o5b2o$31bo5bo$29bo9bo$33bo!
The easiest thing would be of course to find a p14 (or p7) oscillator which creates this spark:

Code: Select all

x = 11, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3$5b2o$4bo$6bo$5b3o$5bobo$6bo!

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Posts: 593
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by AbhpzTa » April 20th, 2018, 2:21 pm

p14 R gun:

Code: Select all

x = 13, y = 15, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4b2o$2bo2bo$2b2o$o$3bo$6bo$3bo$o$2b2o$3bo2bobo$bo5bo4bo$3b2o2bo2bo$4bo
2bo2b2o$2bo$5bo3bo!
100009436650194649 = 94649 * 1056634900001

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by dani » April 20th, 2018, 2:35 pm

Woah, that's microscopic! And way smaller than the sibling G gun.
I will attempt to make logic gates when I am home, I invite all to accompany me on this seemingly quite tough journey.

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Joined: April 13th, 2016, 9:40 am
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by AbhpzTa » April 20th, 2018, 4:53 pm

AbhpzTa wrote:p14 G gun:

Code: Select all

x = 16, y = 25, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo3bo$9bo$5b2o5b2o$3bo2bo5bo2bo$3b2o9b2o$8bobo$3b2o9b2o$3bo2bo5bo2bo$
2b2ob2o5b2o$4bo$o$3b2o$2b3o$3b2o$o$4bo$2b2ob2o5b2o$3bo2bo5bo2bo$3b2o9b
2o$8bobo$3b2o9b2o$3bo2bo5bo2bo$5b2o5b2o$9bo$7bo3bo!
Smaller:

Code: Select all

x = 15, y = 17, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9bo2$11bo$4bobobo$b2o$2bo$2b2o$o$3bo$6bo$3bo5bo$o12b2o$2b2o3bobobo2bo$
3bob2ob3obo$bo4bo2bo2b2o$4bo$7bo3bo!
100009436650194649 = 94649 * 1056634900001

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2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » April 20th, 2018, 8:14 pm

Thanks for the effort concerning the guns, esp. to AbhpzTa who found the most complicated ones.

For completeness the complete G/R gun list for all all periods up to 36 (except p9, p10 R-guns).

Code: Select all

x = 92, y = 1842, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6$17bo5bo17bo$39bo2$17bo5bo18bo2$39bo5bo$17bo5bo$37b2o3bo3b2o$38bo7bo$
17bo5bo14b2o2bo2b2o$32bo3bo$30bo$17bo5bo11bo$35bo2bo$30bo4bo2$32bo3bo$
38b2o2bo2b2o$38bo7bo$37b2o3bo3b2o2$39bo5bo2$42bo2$39bo$41bo8$40bo$38bo
13bo$50bo$41bo$47bo5bo$38bo5bo4bo$48b2o3bo2bo$36b2o3bo3b2o$37bo2b3o2bo
2bo4bo3b2o$37b2o2bo2b2o2b3o6bo$31bo3bo14bo5b2o$29bo$43b2o4b2o$33bobobo
4bob2o4bo2bo$29bo13b2o4b2o$53bo$31bo3bo$37b2o2bo2b2o$37bo2b3o2bo3b2o5b
o$36b2o3bo3b2o2bo6b3o$48b2o3bo4bo$38bo5bo$50bo2bo3bo$41bo15b3o$53bo5bo
$38bo$40bo9bo$52bo7$11bo5bo2bo2bo2$48bo$11bo11bo22b3o$46bo2$11bo5bo2bo
2bo$48bo5bo$43b2o7bo$11bo5bo26bo3bo3b2o$42bo$40bo7bo4bo$11bo5bo2bo2bo
14bo5b2o5b3o$38b2o2bo2bo5bo$42b2o$33b2o$33bo4bo9bo$32b2o4bo2bo4b4o$38b
o9bo2$42b2o$38b2o2bo2bo5bo$38bo5b2o5b3o$40bo7bo4bo$42bo$44bo3bo3b2o$
43b2o7bo$48bo5bo3$46bo$46b3o$48bo4$43bo15bo3bo$41b3o11bo5bo$41bo11b3o$
53bo$60b3o$43bo5bo4b3o$38b2o7b3o5bo$39bo3bo3bo3bo$37bo12b2obo9bo$35bo
7bo4bo3bo8bo$33bo5b2o5b3obo4bo3b3o$33b2o2bo2bo5bo3b3ob3o2bo$37b2o13bo
2bo2b2o$28b2o$28bo4bo9bo4b2o$27b2o4bo2bo4b4o2bob2o6b2o$33bo9bo4b2o8b2o
$58bo$37b2o18bo$33b2o2bo2bo5bo$33bo5b2o5b3o3bo2bo2bo$35bo7bo4bob3o5b3o
$37bo12bo4bo4bo$39bo3bo3b2o$38b2o7bo3bobo3bob2o$43bo5b3o7bo$49bo5bo5bo
2$41bo13bo$41b3o9bo2bo$43bo9b3o$55bo5$11bo5bo2bo2bo23bo3bo3$11bo11bo
25bo$54bo$45b2o5bo$11bo5bo2bo2bo22bo2bo2b2o$44bo3b3o$49bo4bo$11bo11bo
17bo3b2o5bo$39bo3bo2bo5b2o$39b2o2b2o$11bo5bo2bo2bo10bo$41bo4bo2bo$37bo
7bo$41bo4bo2bo$34bo$39b2o2b2o$39bo3bo2bo5b2o$41bo3b2o5bo$49bo4bo$44bo
3b3o$46bo2bo2b2o$45b2o5bo$54bo$49bo3$47bo3bo9$41bo3bo$49bo3bo2$43bo7bo
2$39b2o5bo4bo4bo$40bo2bo2b3o5bo$38bo3b3o3bo2bo2b2o$43bo7bo$35bo3b2o5bo
3b3o3bo$33bo3bo2bo5b3o2bo2bo$33b2o2b2o9bo2bo2b2o$28bo$35bo4bo2bo$31bo
7bo11b2o$35bo4bo2bo8b2o$28bo23bo$33b2o2b2o11b2o$33bo3bo2bo5bo$35bo3b2o
5b3o5bo$43bo4bob3ob3o$38bo3b3o11bo$40bo2bo2bo$39b2o5b3o5b2o$48bob3obo$
43bo6b3o3bo$51bo2$41bo3bo$49bo3bo8$11bo5bo5bo20bo2$46bo$11bo5bo5bo15bo
bobo$36b2o$37bo$11bo5bo2bo2bo13b2o$35bo$38bo$11bo11bo17bo$38bo5bo$35bo
12b2o$11bo11bo13b2o3bobobo2bo$38bob2ob3obo$36bo4bo2bo2b2o$39bo$42bo3bo
5$41b2o$39bo2bo$39b2o$37bo$40bo$43bo$40bo$37bo$39b2o$40bo2bobo$38bo5bo
4bo$40b2o2bo2bo$41bo2bo2b2o$39bo$42bo3bo3$11bo5bo2bo2bo15bo$37b3o$37bo
7bo$11bo5bo$39b2o3b2obo$39b3ob3o$11bo5bo2bo2bo12bo2b2o3b2o2$37bo7bo$
11bo11bo13b3o4b3o$39bo4bo2bo2$11bo5bo2bo2bo12b2o$36bo3b2o$35b2o3b2o2$
44b3o$38bobo3bobo$35bo8bob2o$37b2o6b2o$36b2obo8bo$37bobo3bobo$37b3o2$
36bo5b2o3b2o$42b2o3bo$46b2o3$48bo$45b2o$46bo$44bo$49bo2$49bo2$49bo4bo$
37bo7b2o5b3o$35bo7bo2bo5bo$35b2o6b2o2$34bo4bo$39bo2bo$39bo2$43b2o$43bo
2bo5bo$45b2o5b3o$49bo4bo2$49bo2$49bo$44bo$46bo$45b2o$48bo4$42bo3bo$36b
o9b3o$48bo2$41bobobo5$37bobobo2$34bo$34b3o$36bo3bo5$35bo$37bo3bo$36b2o
3$38bobobo2$34bo$36b2o$37bo$35bo3bo2bo$38b2o$42bo$46bo$40bo3bo$37b2o$
37bo4bo$39bo5b2o$38b2o2bo2bo$47bo$40bo5$11bo5bo2bo2bo$39bo2bo$44bo$11b
o5bo28bo2$34bo12bo$11bo5bo2bo2bo15bobobo$35bo2$11bo5bo5bo12bo3$11bo5bo
2bo2bo16bo5$40bo3bo$42bo$41b3o$39bo$43b3o$40bobobo2$39bo2$40bo$38bo2$
37bo$41bo$36bo$41bo$47bo$36bo4bo3$44bo$42bo$40bo5$11bo5bo2bo2bo26bo2$
48bo$11bo11bo$43b2o3bo$44bo$11bo11bo18bo5bo$37bo15bo$39bo4b2o5bo$11bo
11bo14b2o2bo2bo5b2o$42b2o2$11bo11bo14bo$37b2o3b2o$38bo$34bo$42b2o$42bo
2bo5b2o$44b2o5bo$53bo$42bo5bo$44bo$43b2o3bo2$48bo2$50bo3$48bo2$46bo$
41b2o$42bo$40bo4b3o2$38bo2bo9bo$36bo6bo5bo$36b2o4b2o5b2o$34bo9bo$39bo
3bo$38b2o3b2obo$39bo3bob3o$34bo11bo$36b2o$36bo$38bo3b2o5b2o$43bo5bo$
41bo9bo2$40bo4b3o$42bo$41b2o$46bo2$48bo3$11bo5bo2bo2bo23bo3bo2$49bo$
11bo5bo5bo$49bo$44bo$11bo5bo2bo2bo22bo2bo2b2o$45b2o5bo$49bo4bo$11bo5bo
5bo15bo5b2o5b3o$41bobo2bo5bo$40b2ob2o$11bo5bo2bo2bo10bo$39bo$38b3o$39b
o$34bo$40b2ob2o$41bobo2bo5bo$39bo5b2o5b3o$47bo3bo2bo$45b2o5bo$46bob3ob
2o$44bo3bobo$48b3o4$47bo3bo6$44b2o3b2o$44bo2bo2bo$32b2o3bo5b2o5b2o$32b
o2bo11bo$31b2ob3o9bobo2$36bo10bo$33b3o6b2o$34b2o6bo$42b3o2bo2$38bo$36b
obo3bo$36b3ob3o2bo$40bo2b3ob3o$43bo3bobo$47bo2$38bo2b3o$43bo6b2o$42b2o
6b3o$32bo5bo10bo2$37bobo9b3ob2o$38bo11bo2bo$34b2o5b2o5bo3b2o$35bo2bo2b
o$35b2o3b2o12$11bo5bo2bo2bo18bo$39bo2$11bo5bo5bo16bo2$40bo$11bo5bo2bo
2bo$36bo3bo2$11bo11bo2$36bo3bo$11bo11bo$40bo2$40bo2$39bo$42bo4$40b2o$
40bo2bo$42b2o3$35bobobo2$34bo2$41bo3$43bo$41bo$41b2o$34bo3$39bobobo3$
37b2o5b2o$38bo5bo$36bo4bo4bo3$5bo2bo2bo5bo2bo2bo22bo3bo3$11bo5bo5bo$
44b2o2bo2b2o$37bo3bo3bo2bo2bo$5bo2bo2bo5bo5bo19bo4bo4bo$43b2o2bobo$44b
o$5bo11bo5bo11b2o5bo$36bobobob2o$34bo$5bo2bo2bo5bo2bo2bo$39bo$35bo$37b
o$36b2o5b2o$44bo2bobo$42bo5bo4bo$44b2o2bo2bo$45bo2bo2b2o$43bo3$46bo3bo
3$43bo3bo4$34bo3$39bobobo3bobobo3$37b2o13b2o$38bo13bo$36bo17bo2$43bo3b
o3$11bo2bo2bo5bo19b2o3b2o$43bo5bo$39bo2b2o5b2o$17bo5bo13bo7b3o$39b3o4b
o2$11bo2bo2bo5bo2$39b3o$11bo11bo10bo5bo3$11bo2bo2bo5bo$34bo5bo$39b3o4$
39b3o4bo$37bo7b3o$39bo2b2o5b2o$43bo5bo$43b2o3b2o4$43b2o3b2o$43bo2bo2bo
$42b2ob3ob2o4$39bo6bo$41bo$40b2o5$36bo17bo$34b3o17b3o$34bo21bo$37bo15b
o$37b2o13b2o$37bo15bo$34bo21bo$34b3o17b3o$36bo17bo$38bo3bo5bo3bo$38bo
3b2o3b2o3bo$36bobo3bo5bo3bobo2$37bo15bo3$43bo3bo3$5bo2bo2bo5bo2bo2bo3$
11bo11bo$54bo$52bo$5bo2bo2bo5bo2bo2bo$55bo$43bo$5bo11bo23bo$55bo$44bo$
5bo2bo2bo5bo2bo2bo$41bo5bo2bo4bo$43b3o$39b2o7b5o2bo$40bo7bobobo$40b2o
5b2o3b2o$34bo3bo5bo$32bo10bobo$36bo3bo7b2o$35b2o3b2o7bo$32bo3bo3bo7b2o
$43bobo$34bo3bo5bo$40b2o5b2o$40bo7bo$39b2o7b2o$43b3o$41bo5bo2$44bo2$
41bo$43bo3$45bo$43bo2$46bo2$43bo5bo2$41b2o3bo3b2o$42bo7bo$42b2o2bo2b2o
10$31bo2bo2bobo5bo$28bo15b3o$41bo2bobo$29bo9b3o3bo$39bo$37bob2o$39bo4b
3o4bo$39b3o2bobo2b3o$37bo3bo7bo3bo2$38bo4bo3bo4bo$35bo2bo3bo5bo3bo2bo$
32bo5bo4bo3bo4bo5bo2$33bo3bo3bo3bo3bo3bo3bo$39b3o2b3o2b3o$39bo11bo$42b
o5bo2$44b3o$45bo$42bo5bo2$43bo2bo6$5bo2bo2bo5bo2bo2bo$57b2o$45b2o10bo
2bo$11bo11bo21bo2bo7b2ob2o$44b2ob2o12bo$49bo9bob3o$5bo2bo2bo5bo2bo2bo
25b3o5b2o4bo$45b2o4bo6bo4b3o$46bo4b3o4b3o4bo$5bo17bo22b3obo2bo6bo$48bo
$57bo5bo$5bo2bo2bo5bo2bo2bo27bo7bo7b2o$46b2o7bob3o7bo$47bo3bo3b3o11bo$
32bo12bo16b3o$30b3o2bo7bo7bo4bo2b2obobob2o$30bo2bob3o3bo5b2o5b3o3bob3o
bo$32bobo2bo3b2o2bo2bo5bo3bo9bo$31b2o4b2o6b2o$33b2obo$34bo8bo4bo2bo4b
2o3b2o$34b3o3bo2bo3bo9bo2bob2o$36bo6bo4bo2bo4b2o3b2o$36b2o$45b2o$41b2o
2bo2bo5bo$41bo5b2o5b3o$43bo7bo4bo$45bo$47bo3bo3bo$46b2o7b3o$51bo5bo2$
48bo$46b3obo2bo$46bo4b3o$45b2o4bo$49b3o$49bo$44b2ob2o$45bo2bo$45b2o5$
45b2o11b2o$45bo2bo9bo2bo$44b2ob2o8b2ob2o$49bo12bo$47bob3o10b3o$45b2o4b
o6b2obo2bo$46bo4b3o5bo4b3o$46b3o4bo5b3obo2bo$48bo12bo2bo2$51bo5b2o5bo$
46b2o7bobo2bo7b2o$47bo3bo3b3ob2obo3bobo$32bo12bo24bo$30b3o2bo7bo7bo4bo
2bo4bo$30bo2bob3o3bo5b2o5b3o2b3o5b2o$32bo4bo3b2o2bo2bo5bo6bo2bo2bo$31b
2o4b2o6b2o22bo$33b2o$34bo6bo9bo4b2o$34b3o4bo2bo4b4o4bo$36bo4bo9bo4b2o$
36b2o$45b2o$41b2o2bo2bo5bo$41bo5b2o5b3o$43bo7bo4bo$45bo$47bo3bo3bo$46b
2o7b3o$51bo5bo2$48bo$46b3o4bo$46bo4b3o$45b2o4bo$47bob3o$49bo$44b2ob2o$
45bo2bo$45b2o5$5bo2bo2bo5bo5bo$43bo13b2o$45b2o5bo5bo$11bo5bo5bo20bobo
4b2o3bob2o$45b2o5bo3b2o$42b2o$5bo2bo2bo5bo2bo2bo19bo$43b2o2$5bo17bo17b
obo2bo$43bo$43bo2bo$5bo2bo2bo11bo$43b2o$43bo$42b2o$45b2o5bo3b2o$44bobo
4b2o3bob2o$45b2o5bo5bo$43bo13b2o8$45bo3bo$47bo$46b3o$44bo$46bo2b2o$45b
2o2b2o$46bobo$44bo5bo$49b3o$49bobo$50bo$43bo13bo$41b3o13b3o$41bo2bo11b
o2bo$43bo13bo2$43bo13bo2$43bo13bo$40bo5bo3bo3bo5bo$49b3o$40b2o3b2o2bob
o2b2o3b2o$40bo5bo3bo3bo5bo3$42b3o11b3o$47bo5bo$41bo3b3o5b3o3bo$45bo9bo
$49bo12$5bo2bo2bo5bo2bo2bo$44bo6bo$46bo2bo$11bo5bo31b2o$46bo2$5bo2bo2b
o5bo2bo2bo22bo$42bo2$5bo17bo$42bo2$5bo2bo2bo5bo2bo2bo19bo$45b2o$46bo$
44bo4$46b2o$44bo2bo$44b2ob2o$46bo$40bo2$41bo2$39b2o$39bo$38b2o3$38bobo
bo6b2o$49bo$37bo13bo$48bo$43bo2bo8$5bo2bo2bo5bo2bo2bo2$45b2ob2o$11bo5b
o28bobo$44bo5bo$46b3o$5bo2bo2bo5bo2bo2bo23bo$44b2o3b2o$44bo5bo$5bo11bo
5bo19b2o2bo2b2o2$47bo$5bo2bo2bo5bo2bo2bo$42bo4bo3$46bo2$43b2o$43bo2b2o
$45b2o$48bo5$47bo$45b2ob2o$41bo$39b3o9bo$39bo2bo8b2o4bo$41b2ob2o$40bob
o2bo2bo2bo2bo$41b2ob2o$39bo2bo8b2o4bo$39b3o9bo$41bo$45b2ob2o$47bo$49bo
$43bo4b3o$38bo2b3o4bobo$36bo4bo7bo$36b2obo4b2o9b2o$39b2o3b3o6bo2bo$36b
2obo4b2o7b2o$36bo4bo7bobo2bo$38bo2b3o6bobo$43bo6bob2o$47bo3bo10$5bo2bo
2bo5bo2bo2bo3$11bo11bo2$36bo$5bo2bo2bo11bo8bo9bo$34bo5bo5b2o$33b2o5b2o
4bo$5bo17bo21b2o$49bo$48b3o$5bo2bo2bo11bo20b2o3bo$45bo$36b3o6b2o3$34b
5o2bo$34bo3bo2bo$33b2obobo2bo$34bo3bo$34b5o$45b2o$45bo$36b3o5b2o3bo$
48b3o$49bo$45b2o$46bo$46b2o$33b2o5b2o$34bo5bo$32bo9bo$36bo8$44b2o3b2o$
44bo2bo2bo$43b2ob3ob2o4$34bo12bo$36b2o$35b2o$36bo10bo$37bo$32bo14bo$
37bo10bo$48b2o$47b2o$37bo12bo4$33b2ob3ob2o$34bo2bo2bo$34b2o3b2o20$55bo
2$5bo2bo2bo5bo2bo2bo21b2o9bo$39bo6bo2bobobo$41bo4b2o$11bo5bo5bo16b2o2$
38bo7b2o$5bo2bo2bo5bo2bo2bo21bob2o$46b2o2$5bo11bo5bo16b2o$41bo4b2o$39b
o6bo2bobobo$5bo2bo2bo5bo2bo2bo21b2o9bo2$55bo8$47bo5bo$49bobo$48b2ob2o$
45bo4bo4bo$45b3o2bo2b3o$47bo5bo$43b2o3bobobo$41bo2bo$41b2o$39bo$41b2o
3b3o$40bobo5bo$41b2o4b2o$39bo$41b2o$42bo$40bo10bo$42b2o2bo2bo$43bob3ob
2o$41bo4bo$44bo3bo6$5bo2bo2bo5bo2bo2bo$54b2o$52bo2bo$11bo5bo5bo28b2ob
2o$54bo2$5bo2bo2bo5bo2bo2bo29bo$51b5o$51bobobo$5bo17bo26b2o3b2o5bo$43b
o5bo7bo$41b3o3b3o7b3o$5bo2bo2bo11bo17bo2bo2bo11bo$43bo2b3o9b3o$42b2o3b
o11bo$47b3o7b3o4bo$49bo7bo5b3o$50b2o3b2o6bo2bo$51bobobo17b2o$51b5o17bo
2bo$53bo18b2ob2o2$52bo$50b2ob2o$51bo2bo$51b2o3bo17bobo$55b2o$85bo$44b
2o39b3o$44bo2bo4bo4b2o11bo9bo6bo$43b2ob2o2b3o3b2obo3b3o19bo$50bo6b2o4b
obo4bo9bo4b2o$52bo12bo$51b2o2$45bobo26bobo2$69b2o$56bo12bo$35b2o4bo9bo
4bobo4b2o6bo$36bo19b3o3bob2o3b3o2b2ob2o$34bo6bo9bo11b2o4bo4bo2bo$34b3o
39b2o$36bo$55bo9bo$45bobo15bo3bo5$45b2ob2o$45bo2bo$47b2o6$57b2o$55bo2b
o$55b2ob2o5$55bobo2$46bo$44b3o$44bo6bo9bo4b2o$46bo19bo$45b2o4bo9bo6bo$
66b3o$66bo$46b2o$46bo2bo5bobo$45b2ob2o2$41bo2$42bo3bo7b3o$45b3o8bo$41b
o3bobo7b2o$46bo3$56bo$46b2o7bobo3bo$46bo8b3o$46b3o7bo3bo$42bo$61bo2$
53b2ob2o$45bobo5bo2bo$55b2o$36bo$34b3o$34bo6bo9bo4b2o$36bo19bo$35b2o4b
o9bo6bo$56b3o$56bo2$45bobo5$43b2ob2o$44bo2bo$44b2o8$5bo2bo2bo5bo2bo2bo
24bo$41b2o4bo$42bobo6b2o$11bo5bo5bo16bo3b2o4b3o$40b3obo6b2o$36bo5bo4bo
6bo$5bo2bo2bo5bo5bo14bobo7bo$37b2o$47b2o$11bo5bo5bo13b2o8bo$37bo9b2o$
39bo$5bo2bo2bo5bo2bo2bo24bo$42bo4bo6bo$40b3obo6b2o$40bo3b2o4b3o$42bobo
6b2o$41b2o4bo$48bo3$42b2o3b2o$42bo2bo2bo$41b2ob3ob2o4$38bo6bo3$45bo2$
36bo8bo$41bo4bo$46b2o$45b2o$41bo6bo4$37b2ob3ob2o$38bo2bo2bo$38b2o3b2o
3$11bo2bo2bo5bo29bo8bo$55bo4bo$54b2o4b2o$17bo5bo27bo6bo6bo$49b5o2b5o2b
5o$49bo3bo2bo3bo2bo3bo$11bo2bo2bo5bo24b2obobob2obob2obobob2o$49bo3bo2b
o3bo2bo3bo$49b5o2b5o2b5o$17bo5bo27bo6bo6bo$54b2o5b2o$52bo2bo5bo2bo$11b
o2bo2bo5bo28b2o9b2o$58bo$53b2o$54bo7b2o$54b2o2b2o2bo$58b2ob2o$34bo25bo
$36bo11bo$35b2o9b5o9b2o$46bo3bo10bo$33bo2b2o7b2obob2o8b2o$37bo8bo3bo$
36b2o8b5o9bo$48bo9b2ob2o$35b2o17b2o2b2o2bo$36bo17bo7b2o$34bo18b2o$58bo
$52b2o9b2o$52bo2bo5bo2bo$54b2o5b2o$51bo6bo6bo$49b5o2b5o2b5o$49bo3bo2bo
3bo2bo3bo$48b2obobob2obob2obobob2o$49bo3bo2bo3bo2bo3bo$49b5o2b5o2b5o$
51bo6bo6bo$54b2o4b2o$55bo4bo$53bo8bo6$52b2o$50bo2bo$50b2ob2o$52bo$46bo
2$47bo2$46bo3$36bo29bo$34b5o25b5o$34bo3bo25bo3bo$33b2obob2o23b2obob2o$
34bo3bo2b2o17b2o2bo3bo$34b5o3bo2bo11bo2bo3b5o$30bo9bo4b3o7b3o4bo9bo$
32bo3bo3b2o5bo2b3o2bo5b2o3bo3bo$31b2ob5o9bobobobo9b5ob2o$34bo3bo7b2o7b
2o7bo3bo$33b2obob2o3bo2b2o7b2o2bo3b2obob2o$34bo3bo25bo3bo$34b5o25b5o$
31b2o3bo3b2o4bo9bo4b2o3bo3b2o$32bo7bo3b3o9b3o3bo7bo$30bo3b5o3bobo13bob
o3b5o3bo$34bo3bo2b2o17b2o2bo3bo$33b2obob2o12bo10b2obob2o$34bo3bo11b5o
9bo3bo$34b5o11bo3bo9b5o$36bo12b2obob2o10bo$50bo3bo$50b5o$52bo8$52b3o$
49b2obobob2o$50bo5bo$48bo9bo$52bo3$5bo2bo2bo5bo2bo2bo19b2o$44bo$42bo9b
2o$11bo11bo29bo$41bo11b2o$45bobobo$5bo2bo2bo5bo2bo2bo$35bo$37bo$11bo5b
o18b2o11bo2$34bo4b2o$5bo2bo2bo5bo2bo2bo16bo$39b2o2$36b2o11bo$37bo$35bo
2$45bobobo$41bo11b2o$53bo$42bo9b2o$44bo$43b2o7$39bo13bo$35bo11bo9bo$
37bo5bo5bo5bo$36b2o5b3o2b2o5b2o$45bo2$40bo$39b3o$40bo$40bo10bobo$46bo
4b3o2$46bo6$45bo$36b2o5b3o2b2o5b2o$37bo5bo5bo5bo$35bo11bo9bo$39bo11bo
5$43bo3bo$45bo$44b3o$42bo$44bo2b2o$43b2o2b2o$44bobo$42bo5bo$47b3o$47bo
bo$48bo$40bo15b2o$38b3o15bo$38bo19bo2$41bo13bo$40b3o2bo5bo2b3o4$40b3o
11b3o$36b2o3bo13bo3b2o$36bo23bo$38bo9bo9bo$40bo6b3o6bo$47bobo$48bo2$
44b2o5b2o$45bo5bo$43bo9bo$47bo12$5bo2bo2bo5bo2bo2bo20b2o$42bo2bo$42b2o
b2o$11bo11bo$41b2o$41bo$5bo2bo2bo5bo2bo2bo16b2o$45bo$32b2o5bo4b3o$11bo
11bo9bo3b3o4bobo$31bo5bo7bo$31b3o2b2obobobo$5bo2bo2bo5bo2bo2bo9bo3bo$
37b3o$39bo4$43bobo5$41b2ob2o$41bo2bo$43b2o4$43b2o$43bo2bo$42b2ob2o3$
43bo$41b5o$41bo3bo$40b2obob2o$48bo$30b2o11bo4b3o$31bo18bob2o$29bo6bo6b
o8bo$29b3o13b2o7bo$31bo4bo7bob2o4b3o$45b2o5bo4$38bo2$39bo2$38bo$44bo$
42b2ob2o$42bo2bo$44b2o10$5bo2bo2bo5bo5bo19bo$45bo$44b2o$11bo5bo5bo3$5b
o2bo2bo5bo2bo2bo$43bobo2$11bo11bo2$39bo$5bo2bo2bo11bo7bo5b5o$33bo3bo3b
o$32b2o2b2obobo3bo$37bo3bo2bobo$37b5o2b3o$39bo5bo7$43b3o$43bobo$43b3o
5$44b2o$45bo$43bo5$45bo2$42b3o$42bobo$38b2obobobo$39bo2bobo$37bo4b3o$
32bo15bo$34bo4b2o5bo$33b2o2bo2bo5b2o$37b2o2$34bo9b2o6b2o$31bo2bo10bo5b
ob2o$34bo9b2o6b2o$29bo$37b2o13bo$37bo2bo5b2o3bobo$39b2o5bo4bobo3bo$48b
2o5bo$37bo4b3o4bo5b2o$39bo2bobo2bo3bobo$38b2obobobo4bobobo$42bobo6bobo
2b2o$42b3o6b3o2bo$58bo$45bo2$50bo8$43bo$41b5o4bo$35bo5bo4bobo$35b3o2b
2obo2bob2o$37bo3bo4bo$41b5o$43bo$45bo$44b3o$44bobo$45bo2$47b2o$32b2o4b
3o5b2obo7bo4b2o$33bo4bobo6b2o13bo$31bo6b3o16bo6bo2$45bo$43b5o$43bo3bo$
42b2obob2o2$45bo2$43bo$44b2o$45bo$43bo9$5bo2bo2bo5bo2bo2bo34bo2$48b2o
2bo3bo2bo$11bo5bo31bo2bo3b2o$38bo10b2obo3bo$36b5o10bo$5bo2bo2bo5bo2bo
2bo6bo5bo3bo$32bo2b2obob2o9b2o$31b2o3bo3bo11bo$11bo11bo12b5o10b2o$38bo
$51bo$5bo2bo2bo5bo2bo2bo25b2obo3bo$49bo2bo3b2o$48b2o2bo3bo2bo2$58bo8$
41b2o$39bo2bo$39b2ob2o$41bo$35bo2$36bo2$35bo4$34bo11bo$32bo15bo$35bo9b
o$34b3o7b3o4$34b3o2b3o2b3o$37bobobobo$36bo7bo$34b3o7b3o$34bo11bo7$39bo
$37b5o$37bo3bo$36b2obob2o$37bo3bo$37b5o$39bo3$39b2o$40bo$38bo8$5bo2bo
2bo5bo2bo2bo3$11bo5bo24b2o$40bo2bo$40b2ob2o$5bo2bo2bo5bo2bo2bo10bo7bo
2$38bobo$11bo5bo5bo$34bo7bo$40b2ob2o$5bo2bo2bo5bo2bo2bo16bo2bo$42b2o5$
37bo3bo4$39bo$38b3o$35b2o2bo2b2o$36bo5bo$34bo9bo$34b3o5b3o$36bo5bo$39b
o$38bobo$38b3o$33bo5bo$35bobo$34b2o2b2o$35bo2b2o$33bo4bo$33b3o$35bo5$
46bo$48bo$47b2o5bo$52bo$52b2o$37b3o$31bo4b2ob2o6b2obo$33bo2bo3bo7bo$
32b2o2b2ob2o6b2o$37b3o2$48b2o$48bo$50bo!
Next to the guns mentioned above I replaced the p30 R gun by this one: (old vs new)

Code: Select all

x = 38, y = 66, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4$12b2o3b2o$12bo2bo2bo$11b2ob3ob2o$13bobobo3$15bo$8bo$8b3o$10bo5$10bo
7bo2$7b3o9b3o$7b3o9b3o$8bo11bo2$5bo5bobobobo5bo$6bo3bo2b3o2bo3bo2$8bo
11bo$7b3o9b3o2$6b2ob2o7b2ob2o$6bo2bo9bo2bo$8b2o7bob2o$12bo$14bob2o$13b
2obo$18bo11$12bo3bo5bo$6bo3bo5b3o12bo$8b2obo6bo6bo$7b2o4bo10b3obobo$8b
o4b2o6bo3bo$9bo3bo17bo$22bo2$9bo3bo$8b2o4bo5b3o$9bo4b2o6bo$4bo6bob2o6b
2o$4b3o5bo$6bo3bo!
And further reduction of the p28 R-gun (old vs new):

Code: Select all

x = 49, y = 90, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3$30bo$24bo9bo$26bo5bo$25b2o5b2o3$28bobo$23bo4b3o4bo$23b3o7b3o$25bo7bo
2$23b3o7b3o$23bobo7bobo$22bobobo5bobobo$23bobo7bobo$23b3o7b3o2$21bo15b
o$23bo11bo2$28bobo$22b2o4b3o$23bo$21bo2bo2bo$21b3o$23bo6b3o$30bobo3$
25bo11bo$23bo15bo$25b3o7b3o$25b3o7b3o$26bo9bo2$26bo9bo3$27bo7bo$25b3o
2b3o2b3o$25bo4bobo4bo4$27b2o5b2o$28bo5bo$26bo9bo$30bo12$28bo5bo$30bobo
$29b2ob2o$26bo4bo4bo$26b3o2bo2b3o$28bo5bo$24b2o3bobobo$22bo2bo$22b2o$
20bo$22b2o3b3o$21bobo5bo$22b2o4b2o$20bo$22b2o$23bo$21bo10bo$23b2o2bo2b
o$24bob3ob2o$22bo4bo$25bo3bo!
which uses this

Code: Select all

x = 6, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3b2o$4bo$o3b2o$2bo$b2o2bo$o4bo$b2o2bo$2bo$o3b2o$4bo$3b2o!
nice sparking p4.

Moreover I was playing around with reflectors and found this reaction (see middle, top is known, bottom shows failure):

Code: Select all

x = 27, y = 51, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$13bo$11b5o3b2o$11bo3bo3bo$6b2o2b2obob2o2b2o$7bo3bo3bo$6b2o3b5o$13bo
11$15bo2$13bo$11b5o$6b2o3bo3bo3b2o$7bo2b2obob2o2bo$6b2o3bo3bo3b2o$11b
5o$13bo2$15bo11$13bo$11b5o$6b2o3bo3bo3b2o$7bo2b2obob2o2bo$6b2o3bo3bo3b
2o$11b5o$13bo!
I allows for e.g. this p33 gun:

Code: Select all

x = 83, y = 20, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
41b2o$41bo2bo$40b2ob2o$42bo4$38b2o3b2o$39bobobo$32bo6b2ob2o6bo$41bo$8b
o43bo21bo$6b5o39b5o17b5o5bo$6bo3bo11b2o13b2o11bo3bo11b2o4bo3bo3bo$b2o
2b2obob2o10bo6b3o6bo10b2obob2o10bo4b2obob2o2b2o$2bo3bo3bo11b2o13b2o11b
o3bo11b2o4bo3bo$o5b5o39b5o17b5o$8bo43bo21bo2$32bo17bo!
which has a very wide bonding box (but smaller in height than the actual p33 gun). But I am not sure if this is counted as a true period gun as it involves p66 structures, similarly as the smaller gun (with the actual p33):

Code: Select all

x = 43, y = 86, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
20bo$22bo$21b2o3$22bo$20b5o$20bo3bo$19b2obob2o$20bo3bo$20b5o$22bo5$9b
2o4bo$10bo4b3o$8bo2bo5bo$8b3o5bobo$10bo6bo$15b3o$15bo5b3o$21bobo4$22bo
$20b5o$20bo3bo$19b2obob2o$20bo3bo$20b5o$22bo3$21b2o$22bo$20bo7$21b2o$
21bo2bo$20b2ob2o$22bo4$18b2o3b2o$19bo3bo$19b5o$21bo$3b2o$4bo$2bo6bo6b
2o$2b3o12bo$4bo4bo6b2o4$20bobo$20b3o2$33bo$26b3o4b3o$16bo18bo$15b3o15b
o$15bobo15b2o$16bo2$13b2o3b2o$14bobobo$14b5o$16bo2$15bo$13b2ob2o$13bo
2bo$15b2o!
Finally I found this p3 180° G reflector which is somehow similar to the p2 reflector:

Code: Select all

x = 41, y = 79, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
35b2o$33bo2bo$33b2ob2o3$35b2o$35bo$34b2o5$35b2o$33bo2bo$33b2ob2o2$29b
2o$30bo4b2o$29b2o4bo$34b2o6$35b2o$33bo2bo$33b2ob2o$19bo$17b5o7b2o$11bo
5bo3bo8bo4b2o$13bo2b2obob2o6b2o4bo$12b2o3bo3bo12b2o$17b5o$19bo7$19bo
14bo$17b5o7b2o5bo$11bo5bo3bo8bo4b2o$13bo2b2obob2o6b2o$12b2o3bo3bo13b2o
$17b5o11bo2bo$19bo13b2o7$24bo10b2o$33bo2bo$22bo10b2ob2o$9b2o9b5o10bo$
9bo2b2o6bo3bo6b2o$8b2o2bo6b2obob2o6bo2b2o$12b2o6bo3bo6b2o2bo$9bo10b5o
9b2o$7b2ob2o10bo$8bo2bo$8b2o14bo!
However, a reflection involves a shift in the period of the oscillator. But it allows some applications where the p2 fails, as shown in the example below.

Edit1:
A fancy non-trivial p168 which popped up in apgsearch:

Code: Select all

x = 31, y = 8, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
28b2o$28bo$12bo17bo$8bo3b2o4bo10b2o$2o10bo4b2o3bo$o17bo$2bo$b2o!
It creates enormous sparks and temporary dots.

Edit2: updated list with smaller p33, p27 G and R guns.
Edit3 (30 April 2018): added guns up to p36, reduces several other ones, e.g. p18, p27, p30 R-guns, using small R-loops, the new small p16 guns
Last edited by 2718281828 on April 30th, 2018, 3:32 am, edited 2 times in total.

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BlinkerSpawn
Posts: 1992
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by BlinkerSpawn » April 20th, 2018, 9:57 pm

2718281828 wrote:Finally I found this p3 180° G reflector which is somehow similar to the p2 reflector:

Code: Select all

rle
However, a reflection involves a shift in the period of the oscillator. But it allows some applications where the p2 fails, as shown in the example below.

Edit1:
A fancy non-trivial p168 which popped up in apgsearch:

Code: Select all

rle2
It creates enormous sparks and temporary dots.
Neat, a fast reflector for p3n+1.
Inspires this lower-population (and I think also higher-clearance) p2 reflector:

Code: Select all

x = 8, y = 8, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3bo$5bo$4b2o$6bo$2o$bo4b2o$2o5bo$5bo!
Simple monomerization of the p168:

Code: Select all

x = 19, y = 8, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
18bo$16bo$12bo3b2o$8bo3b2o$2o10bo$o$2bo$b2o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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dani
Posts: 1222
Joined: October 27th, 2017, 3:43 pm

Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by dani » April 21st, 2018, 1:48 pm

One cell more for a p168->p28:

Code: Select all

x = 19, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
18bo$16bo$12bo3b2o$8bo3b2o$2o10bo$o$2bo$b2o2$4bo!
Lower bounding box p2 reflector, I really like this design!:

Code: Select all

x = 8, y = 8, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6bo$4bo$4b2o$6bo$2o$bo4b2o$2o5bo$5bo!
It's extensible:

Code: Select all

x = 12, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9bo$7b3o$7bo2bo$5b3o$5bo4b2o$4b2obo2bo$6bob3o$2o6bo$bo4b3o$2o4bo$5b2o!
Here's an almost p6 reflector:

Code: Select all

x = 10, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo$5b3o$5bo$4b2o$6bob2o$2o6bo$bo4b3o$2o4bo$5b2o!
EDIT: Successful p14 reflector, although it is easily extended to higher periods:

Code: Select all

x = 12, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9bo$7b3o$7bo2bo$5b3o$5bo4b2o$4b2o4bo$8b3o$2o6bo$bo4b3o$2o4bo$5b2o!

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toroidalet
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by toroidalet » April 21st, 2018, 9:05 pm

smaller p33 gun:

Code: Select all

x = 30, y = 18, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6b2o13bo$6bo9bo4b3o$4b3o8b4o4bo3bo$4bo11bo2bobob2o2b3o$3b2o18bo5bo$7b
2o12b3o3bo$7bo13bo5b2o$9bo5bo$bo3bo8b3o$bo3bo9bo$2o3b2o4$12b2ob2o$2ob
2o7bo2bo$o2bo10b2o$2b2o!
a smaller p29 gun might be achieved using this p29 g-r reflector (or a p29 dependent one like this), although the only 180° r-g reflector that has the proper timing (the 8-cell one) isn't fast enough:

Code: Select all

x = 21, y = 21, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
b2o$bo2bo$2ob2o$2bo2bo$3bob3o$b2o4bo$2bo4b3o$2b3o4bo$4bo4b3o$4b3o4bo$
6bo2bob3o$6b3o4bo$8bo2bob3o$8b3o4bo$10bo4b3o$10b3o4bo$12bo4b2o$12b3o$
14bo2bob2o$14b3o2bo$16bo2b2o!
EDIT:
smaller p27 gun:

Code: Select all

x = 29, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
bo25bo$3bo10bo10bo$2b2o8b5o8b2o$12bo3bo$o8bo2bobobo2bo8bo$9bo2bo3bo2bo
$9bo2b5o2bo2$2b2o21b2o$3bo10b3o8bo$bo25bo2$9bo11bo$6bo2b3o7b3o2bo$4b3o
4bo7bo4b3o$4bo21bo$8bo13bo$7b3o11b3o$8bo13bo!
Any sufficiently advanced software is indistinguishable from malice.

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2718281828
Posts: 738
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » April 23rd, 2018, 4:09 am

danny wrote: I will attempt to make logic gates when I am home, I invite all to accompany me on this seemingly quite tough journey.
I made a start on the logic gates with G+G as input and a G as output:
AND:

Code: Select all

x = 338, y = 31, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$315bo$313bo$215bo97b2o$213bo$27bo103bo81b2o$25bo103bo183bo$25b2o102b
2o180b5o$213bo97bo3bo$211b5o94b2obob2o$25bo103bo81bo3bo95bo3bo$23b5o
99b5o78b2obob2o94b5obo$23bo3bo99bo3bo79bo3bo97bo3b3o$22b2obob2o97b2obo
b2o78b5obo101bo$23bo3bo99bo3bo81bo3b3o$23b5obo97b5obo85bo74b2o$25bo3b
3o97bo3b3o159bo22b2o$31bo103bo158b2o21b2obo$218b2o15b2o81b2o$6b2o15b2o
85b2o15b2o88b2obo13b2obo$7bo16bo5b2o15b2o62bo16bo89b2o15b2o80bo$6b2o
15b2o4b2obo13b2obo60b2o15b2o188b3o$30b2o15b2o168bo101bo$217b3o$29bo
103bo85bo$29b3o101b3o$31bo103bo!
OR:

Code: Select all

x = 376, y = 67, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9$36bobo88bobo$36b3o88b3o6$344bo$70bo90bo90bo89bo$68bo90bo90bo91b2o$
68b2o89b2o89b2o2$342bo$68bo90bo90bo89b5o$66b5o86b5o86b5o87bo3bo$66bo3b
o86bo3bo86bo3bo86b2obob2o$65b2obob2o84b2obob2o84b2obob2o56bobo27bo3bo$
36bobo27bo3bo56bobo27bo3bo86bo3bo57b3o27b5o$36b3o27b5o56b3o27b5o86b5o
89bo$68bo90bo90bo$294b2o$20b2o15b2o163b2o15b2o74bo$21bo16bo164bo16bo
73b2o$20b2o15b2o163b2o15b2o2$306bo$32bo90bo90bo89bo$30bo90bo90bo91b2o$
30b2o89b2o89b2o2$304bo$30bo90bo90bo89b5o$28b5o86b5o86b5o87bo3bo21bo$
28bo3bo21bo64bo3bo21bo64bo3bo21bo64b2obob2o22bo$27b2obob2o22bo61b2obob
2o22bo61b2obob2o22bo63bo3bo22b2o$28bo3bo22b2o62bo3bo22b2o62bo3bo22b2o
63b5o$28b5o86b5o86b5o89bo12bo$30bo12bo77bo12bo77bo12bo89b5o5bo4bo$41b
5o5bo4bo75b5o5bo4bo75b5o5bo4bo76bo3bo3bo4b5o$41bo3bo3bo4b5o73bo3bo3bo
4b5o73bo3bo3bo4b5o73b2obob2o2b2o3bo3bo$40b2obob2o2b2o3bo3bo72b2obob2o
2b2o3bo3bo72b2obob2o2b2o3bo3bo74bo3bo7b2obob2o$41bo3bo7b2obob2o72bo3bo
7b2obob2o72bo3bo7b2obob2o73b5o8bo3bo$41b5o8bo3bo73b5o8bo3bo73b5o8bo3bo
76bo10b5o$43bo10b5o75bo10b5o75bo10b5o57bo31bo17bo$24bo31bo17bo40bo31bo
17bo40bo31bo17bo33bo5b5o45b5o$16bo5b5o45b5o30bo5b5o45b5o30bo5b5o45b5o
33bo3bo3bo45bo3bo$18bo3bo3bo45bo3bo32bo3bo3bo45bo3bo32bo3bo3bo45bo3bo
32b2o2b2obob2o43b2obob2o2b2o$17b2o2b2obob2o43b2obob2o2b2o26b2o2b2obob
2o43b2obob2o2b2o26b2o2b2obob2o43b2obob2o2b2o32bo3bo45bo3bo3bo$22bo3bo
45bo3bo3bo32bo3bo45bo3bo3bo32bo3bo45bo3bo3bo33b5o45b5o5bo$22b5o45b5o5b
o30b5o45b5o5bo30b5o45b5o5bo33bo49bo$24bo49bo40bo49bo40bo49bo!
XOR:

Code: Select all

x = 357, y = 105, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
15$43bobo85bobo$43b3o85b3o12$300bobo$300b3o18bo$319bo$319b2o$43bobo85b
obo$43b3o18bo66b3o18bo78bo$62bo87bo78bo89bo$62b2o86b2o77b2o86b5o$317bo
3bo$316b2obob2o$62bo87bo78bo87bo3bo$60b5o83b5o74b5o85b5o$60bo3bo83bo3b
o74bo3bo87bo$59b2obob2o81b2obob2o72b2obob2o$60bo3bo83bo3bo74bo3bo38b2o
$60b5o83b5o74b5o39bo$62bo87bo78bo40b2o2$13b2o15b2o148b2o15b2o$14bo16bo
149bo16bo94bo$13b2o15b2o148b2o15b2o92bo$291b2o2$36bo87bo78bo$34bo87bo
78bo89bo$34b2o86b2o77b2o86b5o$289bo3bo$288b2obob2o$34bo87bo78bo87bo3bo
$32b5o83b5o74b5o85b5o$32bo3bo83bo3bo74bo3bo87bo15bo$31b2obob2o81b2obob
2o72b2obob2o100b5o$32bo3bo83bo3bo74bo3bo101bo3bo$32b5o83b5o74b5o100b2o
bob2o2b2o$34bo15bo71bo15bo62bo15bo87bo3bo3bo$48b5o83b5o74b5o85b5o5bo$
48bo3bo83bo3bo74bo3bo87bo$47b2obob2o2b2o77b2obob2o2b2o68b2obob2o2b2o
79b2o$48bo3bo3bo79bo3bo3bo70bo3bo3bo81bo$48b5o5bo77b5o5bo68b5o5bo79b2o
$50bo87bo78bo$47b2o86b2o77b2o$48bo87bo78bo90bo$48b2o86b2o77b2o87b5o$
304bo3bo$303b2obob2o$49bo87bo78bo87bo3bo$47b5o83b5o74b5o85b5o$47bo3bo
83bo3bo74bo3bo66bo20bo18bo$46b2obob2o81b2obob2o72b2obob2o57bo5b5o35b5o
$47bo3bo83bo3bo74bo3bo60bo3bo3bo35bo3bo$47b5o83b5o74b5o59b2o2b2obob2o
33b2obob2o2b2o$28bo20bo18bo47bo20bo18bo38bo20bo18bo47bo3bo35bo3bo3bo$
20bo5b5o35b5o37bo5b5o35b5o28bo5b5o35b5o45b5o35b5o5bo$22bo3bo3bo35bo3bo
39bo3bo3bo35bo3bo30bo3bo3bo35bo3bo47bo39bo$21b2o2b2obob2o33b2obob2o2b
2o33b2o2b2obob2o33b2obob2o2b2o24b2o2b2obob2o33b2obob2o2b2o$26bo3bo35bo
3bo3bo39bo3bo35bo3bo3bo30bo3bo35bo3bo3bo$26b5o35b5o5bo37b5o35b5o5bo28b
5o35b5o5bo$28bo39bo47bo39bo38bo39bo!
The minimal repeat time is always 34 as illustrated, I have no idea on improving unless considering period gates.

Edit1:
A p3 AND:

Code: Select all

x = 43, y = 18, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
18b2o3b2o$18bo2bo2bo$17b2ob3ob2o4$21bo5$16bo9bo$16b3o2bo2b3o$18bo5bo2$
b2o12b2o9b2o12b2o$ob2o12bo9bo12b2obo$b2o12b2o9b2o12b2o!
with minimal repeat time 27.

Edit2:
an AND with minimal repeat time 16 (but fails for 17):

Code: Select all

x = 145, y = 20, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$16b2o36b2o36b2o34b2o$16bo2bo34bo2bo34bo2bo32bo2bo$15b2ob2o33b2ob2o
33b2ob2o31b2ob2o$17bo37bo37bo35bo3$17bo37bo37bo35bo$19b2o6b2o28b2o6b2o
72b2o$19bo7bo29bo7bo73bo$6b2o6b2o3b2o6b2o28b2o6b2o15b2o6b2o26b2o6b2o
11b2o$7bo7bo67bo7bo27bo7bo$6b2o6b2o66b2o6b2o26b2o6b2o$20bo37bo37bo35bo
$20b3o35b3o35b3o33b3o$22bo37bo37bo35bo!
It takes 2 G inputs and returns an R. It is p2 but works for odd periods as well.

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