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B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn

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B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn

Postby 2718281828 » January 6th, 2019, 5:22 pm

This is a fancy S0 rule. It has a very common symmetric 3-cell c/2 ship (called G). The corresponding 4 collisions are the core of this rule. They are:
x = 44, y = 17, rule = B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn
4$4bo11bo7bo$3bobo9bobo5bobo3$4bo10bo6bo15bo$37bobo3$35bo!

The first collision is a splitter, the second an eater, the third destroys the still life, and the fourth gives a relatively large p2 plus four Gs.
To get a feeling about the reaction-activity of this rule, look at this the collisions of the G with the p2:
x = 74, y = 71, rule = B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn
3$68b3o$68b3o$69bo3$61b2o3b2o$61bo5bo$63bobo2$63bobo$61bo5bo$61b2o3b2o
14$41b3o$41b3o$42bo3$39b2o3b2o$39bo5bo$41bobo2$41bobo$39bo5bo$39b2o3b
2o3$27bo$26bobo4$24b2o3b2o$24bo5bo$26bobo2$26bobo$24bo5bo$24b2o3b2o4$
3bo$2bobo3$6b2o3b2o$6bo5bo$8bobo2$8bobo$6bo5bo$6b2o3b2o!

The top right one replace the p2 at the same position(!) with a phase shift.

This rule is apg-searchable in all symmetries. It has (semi)-natural linear growth (rakes+guns).
Here a D2_+2-back-rake:
x = 8, y = 7, rule = B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn
2bo2bo$2bo2bo2$bo4bo2$bo4bo$obo2bobo!

and some guns
x = 75, y = 188, rule = B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn
2$35bo11$24bo8b2o3b2o$34bo3bo$33b2o3b2o11$35bo12$36bo7$33bo$34b3o$34bo
$26bo7bobo3bo4$36bo6$35bo11$36bo5$24bo$31bo5bo5$18bo$43bo5$30b3o$19bo
10bobo10bo$30b3o4$13bo$19bo$44bo5$25bo5bo$38bo5$26bo7$39bo6$34bo5bo$
28bo4$38b2ob2o$34bo4b3o$40bo5$35bo14$34bo5$39bo$33bo4b3o$37b2ob2o4$27b
o$33bo5bo6$38bo3$48bo$48b2o$43bo5b2o$37bo10b2o$48bo3$55bo$43bo5bo6$44b
o!

the latter ones are adjustable.

Unfortunately there are not many natural high-period oscillators. Most of the have period p<10. Still we have this p30 and p31:
x = 71, y = 34, rule = B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn
3$49bo2bo$5bo2bo12bo2bo$7b2o12b2o$6bobo12bobo$5b4o12b4o21bo8bo2$44bobo
8bobo$11bo6bo$12bo4bo$13bo2bo23bo20bo3$13bo2bo23bo20bo$12bo4bo$11bo6bo
$44bobo8bobo2$5b4o12b4o21bo8bo$6bobo12bobo$7b2o12b2o$5bo2bo12bo2bo$49b
o2bo!


Edit (credits see below):

Ship (+rake) collection:
x = 362, y = 130, rule = B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn
9$43bo$43bo2bo113bo5bo46bobo61bo40bo$7bo2bo9bo2bo18bobobo7bo2b2o2bo25b
o41bo10bo14b2o13b2o40bo3bo14bo3bo10b3o11b3o12bo3bo38b2o$7bo2bo20bo9bob
2o6bo3bo4bo3bo6b2o14bo39b2ob2o6b2ob2o12b2o3b3ob3o3b2o12bob2o2bo2b2obo
12b5ob5o16b3o7bo2bo9bo2bo9bobobobobobo10bo$20bo2bo21bo4bobo3bo2bo3bobo
20bobo37b2o3b2o4b2o3b2o8b3o7b3o7b3o9bo5bo5bo12b4o3b4o14b2ob2o37bobo42b
o$6bo4bo7bo4bo5bo6bo6bobo23bob2o12b3o62bobo8bobo8bobo10b3o3b3o15bo2bob
o2bo13bobob2obo8b2o9b2o11bo4bo4bo14b3o17bo2bo$18bobo2bobo3bobo4bobo17b
o2bo9bob3obo11bo17bo3bo18b3o8b3o11b2o6bo3bo6b2o14bobobo17bo2bobo2bo12b
3o3bo10bob2o5b2obo13bob3obo18bo17bobo2bo$6bo4bo43bo4bo13bobo30bo21bo
10bo11bobo4b2o5b2o4bobo14bobo18bo7bo12b5obo10bob2o5b2obo15b3o16bobo21b
obo$5bobo2bobo41bobo2bobo25bo13bo11bo14b3o8b3o12bo2b2o2bobobo2b2o2bo
60bo6bo7bobobo3bobobo14bobobo15bo25bobo$87bo13b6ob6o14bobo8bobo11bo4b
2o2b3o2b2o4bo16bo15b3o11b3o16b2o6b2o2b2o3b2o2b2o12b2o3b2o14b2o2bobo11b
2o7bo$87bo15b4ob4o16bobo8bobo12b2o15b2o15b2ob2o13b3o11b3o10bo4bo9bo11b
o49bo4bo6b2o$102b3o2bo2b3o14b2o12b2o45b2ob2o14bo13bo10bobo4bo7b2obo7bo
b2o12bo2bo2bo18bobo12b2o$85b2ob2o11bo3b5o3bo13bobo10bobo10bobobob2o5b
2obobobo13b2o3b2o37bobo3bo10b3o7b3o12bo7bo29bo4b5o$85bo3bo9b2obobo5bob
ob2o10b3o12b3o9b5ob2o5b2ob5o32bobo11bobo9b2o2b3o9bo3b5o3bo14bo3bo32bo
2bobo2b3o2bo$87bo11b3o4b3o4b3o10b2o14b2o11bo2bo9bo2bo35bo13bo13bob2o
10bob2o3b2obo55b2o5bo2bo2bo$86bobo17b3o17bo16bo14b3o5b3o21bo17b2o9b2o
14bob3o9b4o3b4o12bo2bo3bo2bo35bo3b2o4bo$86b3o10bo4bo5bo4bo8bo20bo9b2ob
ob2obob2obob2o9bo4bo2bobo2bo4bo32b2obo2bo11bobo3bobo12bo4bobo4bo39b3o
2bo$86bobo10bobob2obobob2obobo9bo7bo2bo7bo10bobo11bobo10bo3bo2bobo2bo
3bo8bo13bo15bo15b3o14bo4b2ob2o4bo38bo2bob2ob2obo$86b3o11bo3b3ob3o3bo
11bob4obo2bob4obo10b3o5bobo5b3o10bo2b4ob4o2bo9b3o4bo4b3o14b2o15b3o17b
3obob3o40b2o3b7o$84bo2bo2bo8bobo3b2ob2o3bobo11bob3o6b3obo11b2o15b2o10b
ob2obobobob2obo10bo3bo3bo3bo11bo2b2o9bo6bobo6bo13bobo44b2o2bo3b2obo2bo
$83b2obobob2o7b2o13b2o14bo2bo2bo2bo14bo17bo10b2o3bo3bo3b2o11b11o17bo9b
o2b2o5b2o2bo12b3ob3o42bo2bobo4b3obo$86b3o9b2ob2o9b2ob2o9b2obobobo2bobo
bob2o8bo21bo7b3o2b2o3b2o2b3o9b4o2bo2b4o12bo3bo9bobob2obob2obobo64bob2o
4bobo2bo$82b2obobobob2o5b5o9b5o10b6o4b6o10bo7bobobo7bo8b4o2bobobo2b4o
8b4o3bo3b4o27bo4bo4bo76bo2b3o$82bo9bo7bo13bo14bo10bo13bob4obo3bob4obo
11bob2obobob2obo11bo2b3ob3o2bo15bo15b2ob2o15b2ob5ob2o53bob4o$82b2o7b2o
62bob3o7b3obo14b2o5b2o12b2o11b2o10b2ob3o13b2o3b2o14b3o5b3o41b3o2bo4b4o
bob2o$82bo9bo7b2o11b2o14bo10bo17bo2bo3bo2bo16b11o36bob4o14b2ob2o16b2o
5b2o42b2o3b2o9b2o$99b2o3bo5bo3b2o38b2obobobo3bobobob2o12b2o7b2o15bo2bo
2bo17bo15bo2bo2bo14b2o7b2o42bo2b3o4bo$83bobo3bobo8bo13bo40b6o5b6o17b3o
15bob3o5b3obo28b2ob3ob2o13bo9bo46bo$82b3o5b3o8b2obo5bob2o43bo11bo16b2o
2bo2b2o13bob2o5b2obo28bob2o3b2obo69bobobo2bobo$82bobob3obobo9bo2bo3bo
2bo73bobobobobo15bo7bo30b2ob2ob2ob2o14bo5bo55b4o$87bo13bo11bo43bo11bo
19bobo57b5ob5o11bobob2ob2obobo45b2o5b2o$85b5o13bo7bo99b2o3b2o34bo3bo
13b3obo2bo2bob3o45bo2bo5bo$84b2obob2o8bob3o7b3obo66b6o5b6o10b4o3b4o32b
5o12bob2obo5bob2obo46b3o$85b2ob2o9b3obo7bob3o68b3o3bo3b3o13bo7bo30bo9b
o12bob2obob2obo50bo$85b2ob2o10bobo4bo4bobo70b2o2b3o2b2o54b2o2bo2b2o13b
2o3bo3b2o$87bo13b6ob6o68bo2bo2b2ob2o2bo2bo10bo3b3o3bo28bob2o5b2obo11b
2obo3bob2o$104bo2bo2bo70bobob2o7b2obobo11bobobobo30b2o2b2ob2o2b2o10bo
11bo$103bo2bobo2bo73bob3ob3obo14b2o5b2o31bo7bo12b3o7b3o$105bobobo73b3o
9b3o11b3o5b3o29b2o7b2o12bo9bo$103b4ob4o70b3o11b3o13b5o33b2o5b2o12b3o7b
3o$104bobobobo76b2obob2o17b2o3b2o32bo2bobo2bo13bo2bo3bo2bo$104bo5bo72b
2o11b2o13bo5bo34bo3bo13bobo9bobo$102bobo2bo2bobo71bob2ob3ob2obo54b2obo
b2o13b2o4bo4b2o$102b3o5b3o138b2o3b2o14bo9bo$102bob3ob3obo75b5o60b3o15b
ob2o5b2obo$102b2obo3bob2o73b2o2bo2b2o75b2ob2o5b2ob2o$101b3o3bo3b3o138b
o3bo15b2o7b2o$102bo2bobobo2bo74b2o3b2o59bobo17bo7bo$103b2obobob2o75b2o
bob2o57bo5bo13bo11bo$103b2o5b2o75bo5bo58b5o$104bo2bo2bo78b3o59bobobobo
14b2obo3bob2o$107bo142bo7bo13bo2bo3bo2bo$103bobobobobo71bo5bobo5bo51bo
bo5bobo13bo7bo$105b5o73bo2bo7bo2bo48bob5o3b5obo$98bobo4bobobo4bobo67bo
4bobo4bo49bo15bo8b4o5b4o$98bob2o2bo5bo2b2obo67b3o2bobo2b3o49bo2bob7obo
2bo10b2o5b2o$103bo3bo3bo71b2o2bobobobo2b2o50bobo2b3o2bobo11b4o3b4o$
102bo9bo68bo2b2o2bo3bo2b2o2bo49bob7obo12bobo5bobo$98bo2bo11bo2bo134bob
obobo16bobobobo$98bobo13bobo137bo19bo5bo$106bobo73bo2bobo5bobo2bo52bo
2bo2bo18bobo$249b2o3bo3b2o13b4ob4o$186bo7bo79bobobobo$103b2o5b2o72b2ob
2o3b2ob2o49bo2b4o3b4o2bo10bobobobobo$102b4o3b4o71bo3bo3bo3bo49bo4bo5bo
4bo13bobo$102b3o2bo2b3o71bobobo3bobobo49bo2b2obo3bob2o2bo10b2o2bo2b2o$
102bo9bo72bobo5bobo53bo9bo14bo5bo$100b3o9b3o160b5o$101bo11bo158bo2bobo
bo2bo$185bobo5bobo$104bo2bo2bo74b3o5b3o73bobo11bobo$100bo5b3o5bo70bobo
5bobo73bo3bo7bo3bo$106b3o76bobo5bobo79bo3bo$271bo11bo$100bo2bo2b3o2bo
2bo70bobo5bobo75b3o2bobo2b3o$104bo5bo73b5o3b5o73b3o4bo4b3o$104bobobobo
73b5o3b5o73bo6bo6bo$105b5o75bobo5bobo77bo7bo$100b2o4bobo4b2o70b3o5b3o
77bobobobobo$99b2o13b2o69bobo5bobo78b3ob3o$107bo78bo7bo77bo2bo3bo2bo$
106b3o76b3o5b3o78bo5bo$107bo77b3o5b3o77bo2b3o2bo$100b2obob5obob2o70b3o
5b3o75bo11bo$102b3obobob3o68bo4bo7bo4bo71b2o4bo4b2o$182bo3bo7bo3bo71b
2o4bobo4b2o$101bo5bo5bo71b3o5b3o78bob3obo$100bobo9bobo71b2ob3ob2o76bo
2bobobobo2bo$106b3o76b2ob5ob2o75bo2bob3obo2bo$107bo81bobo78bobo9bobo$
185bo2b5o2bo74b4o2b3o2b4o$184b4obobob4o75bo2b2ob2o2bo$184bob9obo76bo2b
3o2bo$183bo3b7o3bo76bo2bo2bo$183bo4bo3bo4bo$185bo3bobo3bo$185b2obobobo
b2o$184b5o3b5o$185bo2bobobo2bo$187b2o3b2o$186b3obob3o$185b2o2bobo2b2o$
188b5o$190bo$186b2o5b2o$186bo3bo3bo$189bobo$188b2ob2o$190bo!

(the p17 diagonal one might be gunable)

Oscillator collection:
x = 133, y = 147, rule = B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn
3$76bo3bo$73bo3b3o3bo$8bo8b2o3b2o9bo25bobobobo9bo2bo2bo$17bo5bo12bo10b
o13bobo10b2o5b2o10b3o9bobo13bo$19bobo23bob2o10b3ob3o6bo4bobo4bo7b2obo$
34bo11b3o24bo2b5o2bo7bob3o10b2o11bo$19bobo15bo9bo11b3ob3o7b2o2bobo2b2o
8bobo11bo11bo$17bo5bo37bobo9bo2b5o2bo9bo$17b2o3b2o35bobobobo6bo4bobo4b
o5bo25bo$74b2o5b2o$75bo2bo2bo$73bo3b3o3bo$76bo3bo$7bo2bo21bo3bo9b2o$8b
2o8b4o23b4o$8b2o9bobo12bo12bo$7bo2bo9b2o24bo$18bo2bo10bo3bo10b2o10bobo
$60bobo3bo$62bo2bo$66bo$59b2o3b2o$58bo$59bo2bo$58bo3bobo$49bo13bobo$
18b2ob2o9bo3bo8bobob2o$19b3o12bo$17b2o3b2o9b3o9bobobo$19b3o12bo$18b2ob
2o9bo3bo7b2obobo$45bo21$71bo2bo$27bo2bo12bo2bo$29b2o12b2o$28bobo12bobo
$13bo13b4o12b4o21bo8bo$9bobo$12bo53bobo8bobo$33bo6bo$12bo21bo4bo$8bo
26bo2bo23bo20bo3$35bo2bo23bo20bo$34bo4bo$33bo6bo$66bobo8bobo2$27b4o12b
4o21bo8bo$28bobo12bobo$29b2o12b2o$27bo2bo12bo2bo$71bo2bo29$69bo$56bo
11bo$25bo43bo$16bo7bo$25bo2$15bobo$16bo40b2o$56b2obo16bo6bo$57b2o16b3o
$23bo9bo41bobo$16bo7bo3bo3bo3bo39bo$23bo9bo2$7bobo$8bo7bo31bobo$15bobo
31bo2$27bobo$28bo7bo$35bobo45bo$82bobo$11bo9bo$8bo3bo3bo3bo7bo$11bo9bo
$56bo$55bobo$28bo26b3o16b2o$27bobo19bo6bo16bob2o$74b2o$19bo$20bo7bo$
19bo2$63bo$64bo11bo$63bo!
Last edited by 2718281828 on January 7th, 2019, 3:39 am, edited 7 times in total.
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Re: B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn

Postby AforAmpere » January 6th, 2019, 6:04 pm

C/6:
x = 17, y = 93, rule = B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn
5bo2bo2bo$4bo2b3o2bo$3bo2b2ob2o2bo$b4o2b3o2b4o$bobo9bobo$2bo2bob3obo2b
o$2bo2bobobobo2bo$5bob3obo$b2o4bobo4b2o$2b2o4bo4b2o$2bo11bo$4bo2b3o2bo
$5bo5bo$3bo2bo3bo2bo$5b3ob3o$4bobobobobo$4bo7bo$bo6bo6bo$b3o4bo4b3o$2b
3o2bobo2b3o$2bo11bo$6bo3bo$o3bo7bo3bo$obo11bobo2$3bo2bobobo2bo$6b5o$5b
o5bo$4b2o2bo2b2o$7bobo$4bobobobobo$5bobobobo$4b4ob4o$7bobo$5bo5bo$5bob
obobo$3bobo5bobo$3b4o3b4o$4b2o5b2o$2b4o5b4o2$4bo7bo$3bo2bo3bo2bo$3b2ob
o3bob2o2$2bo11bo$4bo7bo$3b2o7b2o$b2ob2o5b2ob2o$2bob2o5b2obo$3bo9bo$2b
2o4bo4b2o$bobo9bobo$3bo2bo3bo2bo$2b3o7b3o$3bo9bo$2b3o7b3o$2bo11bo$3b2o
bo3bob2o$3b2o3bo3b2o$3bob2obob2obo$ob2obo5bob2obo$b3obo2bo2bob3o$2bobo
b2ob2obobo$5bo5bo2$3bo9bo$3b2o7b2o$4b2o5b2o$3b3o5b3o$3b2ob5ob2o3$5b3ob
3o$7bobo$4b3obob3o$bo4b2ob2o4bo$2bo4bobo4bo$3bo2bo3bo2bo2$6bo3bo$4bo7b
o$5bo2bo2bo2$5b2o3b2o$6bobobo$7b3o$5bob3obo$3bo4bo4bo$7bobo$3bobobobob
obo$6bo3bo$8bo!
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
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Re: B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn

Postby 2718281828 » January 6th, 2019, 7:05 pm

Some synthesis:
x = 180, y = 114, rule = B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn
12$62bo$61bobo30$11bo$10bo$11bo3$45bo$44bo$45bo$53bo$52bobo$150bo$50bo
98bobo$49bo109bo$50bo107bobo7$93bo$94bo$93bo7$122bo$117b2o2bobo14b3o$
117b3o18b3o12bo3bo11b2o$117b2o20bo12bo3bobo9b3o$153bo15b2o3$139bo$138b
obo2$136bo$135bo$136bo5$122bo$121b3o$121b3o4$41bobo$42bo!
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Re: B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn

Postby 2718281828 » January 7th, 2019, 5:03 am

A simple clean fuse:
x = 37, y = 44, rule = B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn
2$29bo$28bobo5$22bo5$22bo6bo4bo2$15bo5$15bo6bo4bo2$8bo5$8bo6bo4bo2$bo
5$bo6bo4bo7$bo4bo!
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Re: B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn

Postby 2718281828 » January 7th, 2019, 6:07 am

This looks like a feasible recipe for a colour changing reflector:
x = 39, y = 36, rule = B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn
9bo$8bobo5$10bo2$6bo11$30bo2bobo$29bo4bo$30bo7$7bo12bo4bo$6bo12bobo4bo
$7bo17bo4$4bobo$5bo!
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Re: B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn

Postby BlinkerSpawn » January 7th, 2019, 12:52 pm

2718281828 wrote:This looks like a feasible recipe for a colour changing reflector:
x = 39, y = 36, rule = B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn
9bo$8bobo5$10bo2$6bo11$30bo2bobo$29bo4bo$30bo7$7bo12bo4bo$6bo12bobo4bo
$7bo17bo4$4bobo$5bo!

x = 11, y = 23, rule = B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn
9bo$8bobo15$2o$3o$2o2$bo$3o$3o!
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Re: B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn

Postby 2718281828 » January 7th, 2019, 1:31 pm

BlinkerSpawn wrote:
2718281828 wrote:This looks like a feasible recipe for a colour changing reflector:
x = 39, y = 36, rule = B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn
9bo$8bobo5$10bo2$6bo11$30bo2bobo$29bo4bo$30bo7$7bo12bo4bo$6bo12bobo4bo
$7bo17bo4$4bobo$5bo!

x = 11, y = 23, rule = B2-a3aer4ejrtz5inqy6c/S01c2-kn3cn4ejknqw5ck6cn
9bo$8bobo15$2o$3o$2o2$bo$3o$3o!

Nice, but the three Gs have a different colour, so far I have no idea how to make a reflector from it.
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