Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

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

Post by dani » February 18th, 2018, 7:35 pm

Here's a 4G+5R synth of the 2c/19 (I call it snowplow,since it has sparks that can plow snowflakes and dots):

Code: Select all

x = 89, y = 66, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo$2bobo$2b3o4$51b2o32bo2bo$24bo19bo6bo11bo19bo2b3o$51b2o34bo2$22bo
19bo19bo19bo2$bo$3o$o2bo4$84b3o$84bobo$86bo17$3bo19bo19bo19bo17b2o$81b
o$54b2o25b2o$2bo3bo15bo3bo15bo3bo7bo7bo2bo$54b2o$32b2o$4bo19bo7bo10bo
19bo$32b2o4$70b3o$70bobo$72bo5$67bo2$67bo$66b3o$69bob2o$66bo5bo$69bob
2o$66b3o$67bo2$67bo!

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » February 19th, 2018, 5:31 am

A p16 180° G to R reflector. Not sure if it is useful, but I think we do not have this kind so far:

Code: Select all

x = 30, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
26bo2bo$15b2o9b3o$2bo12bo11bo$3o5bo5b2obo$o7bo2bo3bo$2bo5bo$b2o9$11bo
9bo$10b3o7b3o$10bobo7bobo$11bo9bo!

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » February 19th, 2018, 5:48 am

danny wrote:Here's a 4G+5R synth of the 2c/19 (I call it snowplow,since it has sparks that can plow snowflakes and dots):

Code: Select all

x = 89, y = 66, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo$2bobo$2b3o4$51b2o32bo2bo$24bo19bo6bo11bo19bo2b3o$51b2o34bo2$22bo
19bo19bo19bo2$bo$3o$o2bo4$84b3o$84bobo$86bo17$3bo19bo19bo19bo17b2o$81b
o$54b2o25b2o$2bo3bo15bo3bo15bo3bo7bo7bo2bo$54b2o$32b2o$4bo19bo7bo10bo
19bo$32b2o4$70b3o$70bobo$72bo5$67bo2$67bo$66b3o$69bob2o$66bo5bo$69bob
2o$66b3o$67bo2$67bo!
EDIT1: Another synthesis of the 2/19c spaceship with 3G+3R:

Code: Select all

x = 23, y = 17, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5b2o$4bob2o$5b2o2$12b3o$12bo8b2o$12b2o7bo$2o19b2o$bo$2o4$13b3o$6b3o4bo
bo$6bobo4bo$6bo!
But still not pleasant for a gun due to the front Gs.
This 4(+1 for deleting the bottom dot+1 for deleting the R)G+3R synthesis is suitable for a gun:

Code: Select all

x = 40, y = 29, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$2b2o8b3o$bob2o9bo$2b2o9b2o19b2o$33b2obo$34b2o6$13bo$12b3o3b3o$7b2o2b
o2bo3bobo3b2o$6bob2o8bo4b2obo$7b2o15b2o3$15b3o$15bobo7$17b3o$17bobo!
But the back salvo seems to be difficult to construct.
This one should be slightly easier to use for a gun:

Code: Select all

x = 36, y = 20, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
b2o8b3o$ob2o9bo$b2o9b2o19b2o$32b2obo$33b2o6$2b2o8bo14b2o$bob2o6b3o3b3o
6b2obo$2b2o6bo2bo3bobo7b2o$17bo2$27b2o$27bo$27b2o$14b3o$14bobo!

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Rhombic
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by Rhombic » February 19th, 2018, 8:52 am

Unfortunately dirty reaction:

Code: Select all

x = 47, y = 35, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
24b3o$24bobo$25b2o$bo11bo9bo6bo$28b5o$28bo3bo$o2bo8bo2bo6bo2bob2obob2o
$28bo3bo$28b5o$bo11bo9bo6bo$25b2o$24bobo$24b3o6$19bo$17b5o$17bo3bo$16b
2obo$17bo$bo11bo3b2o5bo$22b5o$22bo3bo18b2o$o2bo8bo2bo2bo2b2obob2o17bo$
22bo3bo18b2o$22b5o$bo11bo3b2o5bo$17bo$16b2obo$17bo3bo$17b5o$19bo!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » February 19th, 2018, 10:06 am

A p159 gun of the 2c/19 ship (the minimal repeat time of the considered synthesis):

Code: Select all

x = 357, y = 196, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$89bo3bo$86bo9bo$88bo5bo$87b2o5b2o20$91bo$90bobo$90b3o$91bo9$60bo3bo$
57bo9bo$59bob3obo$58b2obobob2o6$90bo$88b5o$88bo3bo$87b2obob2o$88bo3bo$
81bo6b5o25bo$77bo5bo6bo25bo$75b3o4b2o32b2o$75bo43bo$114bo$77bo35b4o$
114bo$75bo43bo$75b3o4b2o32b2o$9bo67bo5bo13b2o3b2o12bo$11bo69bo15bo2bo
2bo14bo$10b2o84b2ob3ob2o$8bo46bo$31b2o20b5o$32bo20bo3bo$31b2o19b2obob
2o41bo$8bo44bo3bo64bo$10b2o41b5o54b2o9bo67b2o8b3o$11bo43bo57bo9b2o65bo
b2o9bo$9bo75b2o25b2o8b2o67b2o9b2o$86bo130bo$84bo6bo$58b2o5b2o$59bo5bo$
57bo9bo$87b2ob3ob2o41bo185bo$88bo2bo2bo15bo24b5o181b5o$88b2o3b2o15b3o
22bo3bo52b2o8bo14b2o77b2o23bo3bo$58b2o2bo2b2o7bo34bo2bo17b2o2b2obob2o
50bob2o6b3o3b3o6b2obo76bo23b2obob2o2b2o$59bo5bo6b5o33bo20bo3bo3bo52b2o
6bo2bo3bobo7b2o77b2o23bo3bo3bo$59b2o3b2o6bo3bo29bo2b3o17bo5b5o67bo113b
5o5bo$67b2o2b2obob2o32bo26bo185bo$68bo3bo3bo32bo2bo2bo36bo155bo36bo$
66bo5b5o33b3o4bo32bo5bo120bo26bo5bo32bo$74bo30b2o3bo5b2o32b2o4b3o116b
5o22b3o4b2o32b2o$52bo36bo15bo8bo43bo45b3o16b2o50bo3bo22bo43bo$54bo32bo
5bo13bo25b2o69bobo15b2obo48b2obob2o2b2o45b2o$53b2o32b2o4b3o36bob2o20bo
66b2o50bo3bo3bo20bo26bo$51bo43bo37b2o52bo3bo83b5o5bo44b2o$80bo5b2o26bo
43bo25bo9bo82bo24bo43bo$79b3o5bo5bo22b2o32b2o4b3o27bo5bo69bo36bo2b3o4b
2o32b2o$79bobo4b2o29bo25bo6bo5bo28b2o5b2o64bo5bo32bo6bo5bo6bo25bo$51bo
28bo14bo19bo25b5o6bo103b3o4b2o32b2o9bo6b5o25bo$53b2o32b2o4b3o45bo3bo
110bo43bo14bo3bo$54bo32bo5bo46b2obob2o135b2o30b2obob2o$52bo36bo51bo3bo
49bo62bo22b2obo30bo3bo$80bo60b5o47b3o86b2o31b5o$80bo9bo36bo15bo49bo50b
o11bo43bo16bo$80bo5bo5bo32bo69bo46b5o9b3o4b2o32b2o$84b3o4b2o32b2o67b2o
3bo42bo3bo11bo5bo6bo25bo$84bo43bo13bo52bo45b2obob2o2b2o10bo6b5o25bo$
121b2o18b3o49bo48bo3bo3bo18bo3bo$86bo34bo19bobo49b3o46b5o5bo15b2obob2o
$121b2o19bo52bo48bo24bo3bo$84bo43bo59bobo9b2o27bo36bo2b5o$84b3o4b2o32b
2o61b3o10bo23bo5bo32bo6bo$86bo5bo6bo25bo73bo23b3o4b2o32b2o$90bo6b5o25b
o95bo43bo$97bo3bo134b2o$96b2obob2o122bo9b2obo$97bo3bo134b2o34bo$97b5o
34bo86bo43bo3b3o$79bo19bo38bo76bo7b3o4b2o32b2o5bobo$78bobo56b2o76b3o7b
o5bo4b5o23bo7bo$78b3o54bo46bo34bo11bo6bo3bo25bo$79bo91b2o7b5o28bo21b2o
bob2o$172bo7bo3bo26bo2bobo19bo3bo$171b2o6b2obob2o27bo22b5o$135bo44bo3b
o32bo20bo$137b2o41b5o30b3o$138bo43bo32bo$136bo72b2o$209bo$211bo$185b2o
5b2o$186bo5bo$184bo9bo2$238bobo$99b3o136b3o$99bobo83b2o2bo2b2o123b3o$
186bo5bo124bobo$186b2o3b2o$196bo36bo$192bo5bo32bo$190b3o4b2o32b2o$190b
o43bo$225b2o$138b2o5b2o45bo32bo88b2o5b2o$139bo5bo79b2o88bo5bo$137bo9bo
42bo43bo78bo9bo$75b2o5b2o56bo3bo45b3o4b2o32b2o83bo3bo$76bo5bo109bo5bo
6bo25bo$74bo9bo111bo6b5o25bo$77bo3bo121bo3bo$202b2obob2o$203bo3bo60b2o
5b2o$203b5o61bo5bo$205bo61bo9bo$270bo3bo4$96b2o5b2o$97bo5bo$95bo9bo$
98bo3bo4$235b2o5b2o$236bo5bo$234bo9bo$205b3o29bo3bo$205bobo25$202b2o5b
2o$203bo5bo$201bo9bo$204bo3bo!
The size can still be optimised. But befor doing the fine tuning, it seems to be worth first looking for a smaller p159 gun.

For information on the 2c/19: The minimal repeat time in the salvo is 139:

Code: Select all

x = 13, y = 25, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6bo$3bob3obo$5b3o$5b3o$6bo$5b3o$4bo3bo$4bo3bo$3b2obob2o$4bo3bo$4b5o$6b
o3$6bo$3bo5bo2$obo3bo3bobo3$6bo$5b3o$4b5o$5b3o$6bo!
Thus a p159 is not far away from the optimum.

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » February 19th, 2018, 2:55 pm

2718281828 wrote:This 2G+R reaction can insert an R into a salvo and is gunable:

Code: Select all

x = 14, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6b2o$5bob2o$6b2o2$11b2o$11bo$11b3o3$2b2o$bob2o$2b2o!
It allows for pseudo R-guns for all periods p>31.
This reaction:

Code: Select all

x = 50, y = 41, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
25bo$23bobo$23b3o17$23bo$23bobo$23b3o5$2b2o$bob2o38b3o$2b2o39bo$7b2o
14bo2bo16b2o$6bob2o13b3o$7b2o15bo22b2o$46b2obo$47b2o5$25bo$23bobo$23b
3o!
allows for pseudo R-guns of all periods p>= 19.

EDIT1:
And this one a p17 pseudo G-gun:

Code: Select all

x = 18, y = 21, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
10bo$9bobo$9b3o$10bo8$16b2o$16bo$16b2o$6b2o$5bob2o$b2o3b2o6b2o$2bo7bo
3bo$3o6bobo2b3o$9b3o$10bo!

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » February 19th, 2018, 5:54 pm

AbhpzTa wrote:p80 xq12_58o9 gun:

Code: Select all

RLE
I found a relatively simple eater for the diagonal ship:

Code: Select all

x = 19, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
18bo$7bo8bo$9bo6b2o$8b2o3$o2bo10bo2bo2$o13bo$b3o11b3o$2bo13bo!
Also this is quite fun:

Code: Select all

x = 14, y = 25, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o$2bo$b2o4$7bo2bo2$7bo$8b3o$9bo13$11b3o$11bobo!

dani
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by dani » February 19th, 2018, 6:05 pm

A couple of circuitry tools:

A signal suppressor:

Code: Select all

x = 49, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
10bo$8bo12bo15bo$8b2o9b5o11b5o$13bo5bo3bo5bo5bo3bo5bo$2o9b5o2b2obob2o
2b5o2b2obob2o2b5o$bo9bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$2o8b2obob2o2b5o2b2o
bob2o2b5o2b2obob2o$11bo3bo5bo5bo3bo5bo5bo3bo$11b5o11b5o11b5o$13bo15bo
15bo!
It can be placed on both sides. There is none, however, that suppresses a signal in the center.

90-degree turn (repeat time 63):

Code: Select all

x = 54, y = 43, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
46bo$44bo$10bo33b2o$8bo12bo15bo$8b2o9b5o11b5o$13bo5bo3bo5bo5bo3bo5bo$
2o9b5o2b2obob2o2b5o2b2obob2o2b5o3b2o$bo9bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo$2o8b2obob2o2b5o2b2obob2o2b5o2b2obob2o4bo$11bo3bo5bo5bo3bo5bo5bo3bo
$11b5o11b5o11b5o$13bo15bo15bo$48bo$46b5o$46bo3bo$45b2obob2o$46bo3bo$
46b5o$48bo2$46bo$44b5o$44bo3bo$43b2obob2o$44bo3bo$44b5o$46bo2$48bo$46b
5o$46bo3bo$45b2obob2o$46bo3bo$46b5o$48bo2$46bo$44b5o$44bo3bo$43b2obob
2o$44bo3bo$44b5o$46bo!
Any of the reflectors can make a period-x clock, here's a p38 example:

Code: Select all

x = 59, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
31bo15bo$29b5o11b5o$8bo14bo5bo3bo5bo5bo3bo5bo$6b5o10b5o2b2obob2o2b5o2b
2obob2o2b5o$b2o3bo3bo5b2o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$2bo2b2obob2o5b
o2b2obob2o2b5o2b2obob2o2b5o2b2obob2o$o5bo3bo5b2o3bo3bo5bo5bo3bo5bo5bo
3bo$6b5o10b5o11b5o11b5o$8bo14bo15bo15bo!
A 180-degree turn that could make for a good delay:

Code: Select all

x = 57, y = 24, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
46bo$44bo$10bo33b2o$8bo12bo15bo$8b2o9b5o11b5o$13bo5bo3bo5bo5bo3bo5bo$
2o9b5o2b2obob2o2b5o2b2obob2o2b5o3b2o$bo9bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo$2o8b2obob2o2b5o2b2obob2o2b5o2b2obob2o4bo$11bo3bo5bo5bo3bo5bo5bo3bo
$11b5o11b5o11b5o$13bo15bo15bo$48bo$17bo15bo12b5o5bo$15b5o11b5o10bo3bo
3bo$9bo5bo3bo5bo5bo3bo5bo3b2obob2o2b2o$7b5o2b2obob2o2b5o2b2obob2o2b5o
2bo3bo$7bo3bo3bo3bo3bo3bo3bo3bo3bo3bo2b5o$6b2obob2o2b5o2b2obob2o2b5o2b
2obob2o3bo$7bo3bo5bo5bo3bo5bo5bo3bo$7b5o11b5o11b5o$9bo15bo15bo7b2o$49b
o$51bo!
I kind of see this type of circuitry similarly to standupmaths' domino computer.

--

Someone should try and search for a c/18 orthogonal ship:

Code: Select all

#C [[ STOP 18 ]]
x = 15, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11bo$b2o6b5o$bo7bo3bo$2obo2bob2obob2o$bo7bo3bo$b2o6b5o$11bo!
Also, a smaller eater for the diagonal:

Code: Select all

x = 13, y = 8, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
bo$3o$3bo2$o2bo$12bo$10bo$10b2o!

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by AforAmpere » February 19th, 2018, 6:27 pm

danny wrote: Someone should try and search for a c/18 orthogonal ship:

Code: Select all

#C [[ STOP 18 ]]
x = 15, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11bo$b2o6b5o$bo7bo3bo$2obo2bob2obob2o$bo7bo3bo$b2o6b5o$11bo!
An infinitely extensible C/18 thing comes out of a search:

Code: Select all

x = 19, y = 169, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4$9bo$7b5o$7bo3bo$6b2obob2o$7bo3bo$7b5o$9bo2$9bo5$8b3o$8bobo$8b3o4$9bo
5$9bo$9bo$9bo4$9bo4$9bo$7b2ob2o$7bobobo$6b2obob2o$9bo3$9bo4$9bo$7b5o$
7bo3bo$6b2obob2o$9bo$8b3o2$9bo$6b2o3b2o$7bo3bo2$9bo$7b5o$7bo3bo$6b2obo
b2o$7bo3bo$7b5o3$8b3o$9bo2$9bo$7b5o$7bo3bo$6b2obob2o$7bo3bo$7b5o$9bo2$
9bo5$8b3o$8bobo$8b3o4$9bo5$9bo$9bo$9bo4$9bo4$9bo$7b2ob2o$7bobobo$6b2ob
ob2o$9bo3$9bo4$9bo$7b5o$7bo3bo$6b2obob2o$9bo$8b3o2$9bo$6b2o3b2o$7bo3bo
2$9bo$7b5o$7bo3bo$6b2obob2o$7bo3bo$7b5o3$8b3o$9bo2$9bo$7b5o$7bo3bo$6b
2obob2o$7bo3bo$7b5o$9bo2$9bo5$8b3o$8bobo$8b3o4$9bo5$9bo$9bo$9bo4$9bo!
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » February 20th, 2018, 8:27 am

danny wrote:A couple of circuitry tools:
Also, a smaller eater for the diagonal:

Code: Select all

x = 13, y = 8, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
bo$3o$3bo2$o2bo$12bo$10bo$10b2o!
Nice!
A stable converter, the diagonal spaceship to G:

Code: Select all

x = 30, y = 18, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o2bo2bo$2b2o$3bo$4bobo2$11bo$10b3o$13bo3b2o$17bo$10bo2bo5bo2$21bo$19b
5o5bo$19bo3bo3bo$18b2obob2o2b2o$19bo3bo$19b5o$21bo!
The minimal repeat time is 39, which is sufficient for practical use, even though the minimal sequence of the diagonal ship could be p36:

Code: Select all

x = 10, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
bo$3o$3bo2$o2bo2$7bo$6b3o$9bo2$6bo2bo!
EDIT1: And another eater (next to this one found by danny) for the 2c/19 spaceship:

Code: Select all

x = 17, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o$2bo9bo$b2o7bo$10b2o3$16bo$14bo$6bo7b2o$3bo5bo$bo9bo$bo4bo4bo$bo9bo2$
4bo3bo$5b3o$5bobo$5b3o!

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » February 20th, 2018, 11:24 am

danny wrote:The 28-cell universal catalyst/invincible structure I posted has been dethroned!
(...)
a 22-cell:

Code: Select all

x = 8, y = 8, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2b2o2b2o$2bo4bo$3o2bo$o$7bo$2bo2b3o$o4bo$2o2b2o!
What is the smallest 'universal catalyst'?

I found this 18 cells one:

Code: Select all

x = 7, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5b2o$2o4bo$o3bo$2b3o$2bo3bo$o4b2o$2o!
But I am not sure if someone can destroy it from outside or not. I don't get it down.

Its smaller 16-bit friend:

Code: Select all

x = 10, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4b2o$2o3bo$o2bo$2b2o$2bo2bo$o3b2o$2o$8b2o$8bo$8b2o!
can be destroyed.

EDIT1:
Another small one, which is destroyable, but it is quite difficult:

Code: Select all

x = 53, y = 34, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$30bo15bo$15bobo12bobo11bobo$15b3o12b3o11b3o$6b2o13b2o13b2o12b2o$6bo
14bo14bo13bo$b2o3b2o8b2o3b2o8b2o3b2o7b2o3b2o$bo14bo14bo13bo$3b2o13b2o
13b2o12b2o$4bo14bo14bo13bo$4b2o13b2o13b2o12b2o$7bo14bo14bo13bo$6b2o13b
2o13b2o12b2o7$15bobo$15b3o2$21b2o$21bo$16b2o3b2o$16bo$18b2o$19bo$19b2o
$22bo$21b2o!
Accidentally I found this shown way to reflect a glider

EDIT2:
The 18 bit-one above can be destroyed:

Code: Select all

x = 7, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5b2o$2o4bo$o3bo$2b3o$2bo3bo$o4b2o$2o$4bo2$obo!

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by dani » February 20th, 2018, 12:21 pm

Toroidalet's structure is the smallest possible I believe, at 16 cells:

Code: Select all

x = 7, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2o$o4b2o$2bo3bo$4bo$3b2o$bo4bo$b2o2b2o!

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by Rhombic » February 20th, 2018, 12:32 pm

danny wrote:Toroidalet's structure is the smallest possible I believe, at 16 cells:

Code: Select all

x = 7, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2o$o4b2o$2bo3bo$4bo$3b2o$bo4bo$b2o2b2o!
Sorry but I destroyed it:

Code: Select all

x = 20, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo$o$2o$18bo$16bo$16b2o$bo$19bo$bo7bobo5bo$17b2o$bo2$6b2o$6bo4b2o$2o
6bo3bo$o9bo$2bo6b2o$7bo4bo$7b2o2b2o!
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » February 20th, 2018, 1:27 pm

Rhombic wrote:
danny wrote:Toroidalet's structure is the smallest possible I believe, at 16 cells:

Code: Select all

x = 7, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2o$o4b2o$2bo3bo$4bo$3b2o$bo4bo$b2o2b2o!
Sorry but I destroyed it:

Code: Select all

x = 20, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo$o$2o$18bo$16bo$16b2o$bo$19bo$bo7bobo5bo$17b2o$bo2$6b2o$6bo4b2o$2o
6bo3bo$o9bo$2bo6b2o$7bo4bo$7b2o2b2o!
Still, we have this 19-cell one which should be indestructible:

Code: Select all

x = 7, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2b2o$2bo2b2o$3o3bo$o3bo$3b2o$bo4bo$b2o2b2o!
It appears naturally in symmetric groups: http://catagolue.appspot.com/object?apg ... 4iz5ar6i7e but not in C1 so far.
EDIT1:
It is quite nicely extendible:

Code: Select all

x = 39, y = 67, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$34b2o$31b2o2bo$18b2o11bo3b3o$15b2o2bo9b2o2bo3bo$4b2o9bo3b3o7bo3b2o$b
2o2bo7b2o2bo3bo5b2o2bo4bo$bo3b3o5bo3b2o8bo3b2o2b2o$3bo3bo7bo4bo8bo4bo$
3b2o10b2o2b2o8b2o2b2o$bo4bo6bo4bo8bo4bo$b2o2b2o6b2o2b2o8b2o2b2o10$4b2o
10b2o12b2o$b2o2bo7b2o2bo9b2o2bo$bo3b3o5bo3b3o7bo3b3o$3bo3bo7bo3bo9bo3b
o$3b2o10b2o2b3o7b2o2b3o$bo4bo6bo3bo3bo5bo3bo3bo$b2o2b2o6b2o2b2o8b2o2b
2o2b3o$15bo4bo8bo3bo3bo$15b2o2b2o8b2o2b2o$31bo4bo$31b2o2b2o6$30b2o2b2o
$30bo4bo$14b2o2b2o8b2o2b2ob3o$14bo4bo8bo4bo3bo$4b2o10b2ob3o8b2ob3o$b2o
2bo7b2o2bo3bo5b2o2bo3bo$bo3b3o5bo3b3o7bo3b3o3bo$3bo3bo7bo3bo9bo3bo2b2o
$3b2o10b2o4bo7b2o4bo$bo4bo6bo4bob2o5bo4bob2o$b2o2b2o6b2o2b2o8b2o2b2o7$
30b2o2b2o$30bo4bo$14b2o2b2o8b2o2bo2b3o$14bo4bo8bo8bo$4b2o10bo2b3o8bo$b
2o2bo7b2o6bo5b2o6bo$bo3b3o5bo13bo9bo$3bo3bo7bo3bo9bo3bo2b2o$3b2o10b2o
4bo7b2o4bo$bo4bo6bo4bob2o5bo4bob2o$b2o2b2o6b2o2b2o8b2o2b2o!
And if I got it correctly, also not destroyable for all extensions.

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 77topaz » February 20th, 2018, 4:02 pm

2718281828 wrote:EDIT1:
It is quite nicely extendible:

Code: Select all

RLE
And if I got it correctly, also not destroyable for all extensions.
The middle and right objects on the bottom row aren't even still lifes. :P

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by Rhombic » February 20th, 2018, 8:13 pm

EDIT: the interaction is not trivial!!! Oscillators of periods 72, 69, 71, 37, 35 and 34 with an apparently identical reaction are described.
The previously described p69 can be made asymmetric and present a different evolution of the dots in the middle. If we could directly use the sparks formed by snowflake reactions and then regenerate the snowflake (fairly easy because of its small predecessor), it would be the next big step in engineering potential.

Code: Select all

x = 105, y = 25, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo17bo18bo18bo15bo17bo$7bo17bo18bo18bo15bo17bo$6b2o16b2o17b2o17b2o14b
2o16b2o6$5bobo15bobo16bobo16bobo13bobo15bobo2$o12bo3bo13bo3bo14bo3bo
13bo3bo11bo3bo15bo$2bo8bo7bo9bo7bo10bo7bo9bo7bo7bo7bo11bo$b2obo3bo2b2o
5b2o2bo3bo2b2o5b2o3bo3bo2b2o5b2o3bo3bob2o5b2obo3bob2o5b2o3bo3bo3b2o4$
5bobo15bobo16bobo16bobo13bobo15bobo6$6b2o16b2o17b2o17b2o14b2o16b2o$6bo
17bo18bo18bo15bo17bo$8bo17bo18bo18bo15bo17bo!
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by AforAmpere » February 20th, 2018, 8:25 pm

What periods are not known, or has it been proved omniperiodic?
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by wildmyron » February 20th, 2018, 10:17 pm

AforAmpere wrote:What periods are not known, or has it been proved omniperiodic?
Snowflakes is omniperiodic
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.

Semi-active here - recovering from a severe case of LWTDS.

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by FlameandFury » February 20th, 2018, 10:43 pm

New P12:

Code: Select all

x = 15, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo$9bo$8b2o2$3b2o$4bo8bo$2bo5bo2bo$7b3ob2o2$6b2o$6bo$8bo!
Could be used for a conduit:

Code: Select all

x = 18, y = 30, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$3b2o5b2o$4bo5bo$2bo9bo3$3b2o5b2o$4bo5bo$2bo9bo3$3b2o5b2o$4bo5bo$2bo9b
o3$3b2o5b2o$4bo5bo$2bo9bo3$3b2o5b2o$4bo5bo$2bo9bo3$3b2o2bo2b2o$4bob3ob
o$2bo9bo!
what is sesame oil?

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by Rhombic » February 21st, 2018, 7:46 am

Interesting sparker that allows this:

Code: Select all

x = 81, y = 27, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
31bo48bo$29bo48bo$29b2o47b2o4$78bo$29bo48bo$6b2o47b2o21bo$6bo2bo19bo
25bo2bo$8b2o47b2o$51bo$50bobo3bo21bo$bobobo46bo3b2o5b2o8b2o2bobo$52bo
3bo5bob2o8bo2b3o$o48bo13b2o8b2o3bo2$7bo48bo8$78b3o$78bobo!
p68, p69, p70, p71, p72

Code: Select all

x = 141, y = 35, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
86bo$84bo40bo$84b2o37bo$123b2o3$84bo$123bo$84bo$5bo23bo21bo71bo$7bo23b
o21bo$6b2o22b2o20b2o3$15bo23bo$13bo23bo$8bo4b2o17bo4b2o15bo7bobo3b2o
15bo7bobo3b2o6bo$b2o22b2o20b2o19bo9b2o19bo9bo14bo7bobo3b2o$2bo5bo17bo
5bo15bo5bo15bo8bo5bo15bo6b2o3bobo22bo$o23bo21bo30bo46bo15bo3$8b2o$8bo$
10bo$32bo21bo30bo$124bo$32bo21bo30bo$124bo3$31b2o20b2o29b2o$32bo21bo
30bo37b2o$30bo21bo30bo40bo$122bo!
Interesting conduit that could be exploitable if Snowflake->X reactions are discovered (returning the snowflake to original spot):

Code: Select all

x = 24, y = 22, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
15bo$17bo$16b2o5$17bo2$17bo2$23bo$21bo$21b2o$2o17bo$bo$2o3$16b2o$16bo$
18bo!
Last edited by Rhombic on February 21st, 2018, 8:24 am, edited 2 times in total.
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » February 21st, 2018, 8:04 am

77topaz wrote:
2718281828 wrote:EDIT1:
It is quite nicely extendible:

Code: Select all

RLE
And if I got it correctly, also not destroyable for all extensions.
The middle and right objects on the bottom row aren't even still lifes. :P
Sure: It should be:

Code: Select all

x = 38, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
29b2o2b2o$29bo4bo$13b2o2b2o8b2o2bo2b3o$13bo4bo8bo8bo$3b2o10bo2b3o8bo$
2o2bo7b2o6bo5b2o6bo$o3b3o5bo3bo9bo3bo5bo$2bo3bo7bo3bo9bo3bo2b2o$2b2o
10b2o4bo7b2o4bo$o4bo6bo4bob2o5bo4bob2o$2o2b2o6b2o2b2o8b2o2b2o!

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by 2718281828 » February 21st, 2018, 8:37 am

AforAmpere wrote:What periods are not known, or has it been proved omniperiodic?
For oscillators, all periods are known (larger periods due to different G reflectors, other ones found due to apgsearch). Obviously not for guns and spaceships, but I am not sure if this was your question.

For spaceships we only have orthogonal c/2, 2c/4, 3c/6, etc (we can construct all of them using rakes), 2c/6, 2c/19, and 2c/12 diagonal. For all these speeds we also have puffers but a rake only for c/2 speeds and the 2c/19.

For guns, we have:
- G guns for all periods 19,30,33>=, pseudo guns for 21>= (for 17>= we have a salvo to insert a G - so should be doable)
- R guns for all periods 21,24,27,30,33,34,36,38>=, pseudo guns for 21>=, (for 19>= we have a salvo to insert an R)
- for the smallest 2c/12 diagonal ship we have a gun for all periods >= 80
- for the smallest 2c/19 ship we have a gun for all periods >=159

Please correct me if I am wrong, esp for the G and R guns, I might be wrong.

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by Rhombic » February 22nd, 2018, 10:41 am

Thanks to the fairly understandable nature of the snowflake reactions, and the predictable reactivity (only a few pathways towards reaction and much more limited chaotic behaviour), it is particularly easy to prepare LLS setups for discovery of oscillators based on hassling a snowflake.
I have set my first p22 search. The number of clauses seems unwieldy, but the rational approach of LLS and the very non-chaotic behaviour could mean that the tree will be narrowed down very quickly early on. For future reference, searches like this one could be tuned quite well:

Code: Select all

./lls -S lingeling pattern.txt --force_at_least 40 -r B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
could be interesting
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by toroidalet » February 23rd, 2018, 12:01 pm

repeat time 116 G-2R:

Code: Select all

x = 73, y = 14, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
27bo$19bo2b2o5bo$12b2o3bo4bo5b2o$10bo2bo3b2o2b2o$10b2o2$b2o10b2o56b2o$
2bo4bo5bo57bo$o12b2o56b2o2$10b2o$10bo2bo3b2o4b2o$12b2o3bo5bo$19bo5bo!
related G-3R (same repeat time):

Code: Select all

x = 14, y = 33, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo$7bo$6b2o8$6bo3$2b2o5b2o$3bo5bo$bo9bo$b2o2b3o2b2o$5bobo3$b2o7b2o$2b
o7bo$o11bo2$10bo$10b3o$b2o9bo$2bo$o2$13bo$11bo$11b2o!
a thinner variant with repeat time 130 (also showing a dot catalyst):

Code: Select all

x = 81, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
20bo2b2o5bo$13b2o3bo4bo8bo$11bo2bo3b2o2b2o7b2o$o10b2o$2bo$b2o11b2o63b
2o$8bo5bo64bo$3bo10b2o63b2o2$11b2o$11bo2bo3b2o4b2o$13b2o3bo5bo$20bo5bo
!
the G-3R converter allows for a small splitter:

Code: Select all

x = 76, y = 38, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8bo$8b3o$10bo2$30bo$22bo2b2o5bo$15b2o3bo4bo5b2o$13bo2bo3b2o2b2o$13b2o
2$b2o13b2o56b2o$2bo7bo5bo57bo$o15b2o56b2o2$13b2o$13bo2bo3b2o4b2o$15b2o
3bo5bo$22bo5bo3$15bo$13b5o5bo$13bo3bo3bo$12b2obob2o2b2o$13bo3bo$13b5o$
9bo5bo$7b5o$7bo3bo$6b2obob2o$7bo3bo$7b5o$9bo3$9b2o$10bo$8bo!
2 p13 oscillators:

Code: Select all

x = 21, y = 23, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo14bo$3bo14bo$3b2o13b2o3$2bo14bo$o3bo10bo3bo$5o10b5o$2bo$bobo$b3o12b
3o$17bo5$2bo14bo2$2bo14bo2$3b2o13b2o$3bo14bo$5bo14bo!
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!
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Post by Rhombic » February 25th, 2018, 9:50 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!
I'd suggest someone sets up a good LLS search with this and posts the file here so that we can run it with different small modifications to approach the search space from different possibilities. There almost certainly is a small spaceship with this reaction and it would be infinitely extensible.

On a side note, this is a weird reaction of a family with lots of sparky interactions (from the 3-cell pattern) that produces an oscillator.

Code: Select all

x = 33, y = 41, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo$4bo$3b2o3$3bo$b5o$bo3bo$2obob2o$bo3bo$b5o$3bo4$12b2o17b2o$obobo7bo
18bo$12b2o17b2o4$3bo$b5o$bo3bo$2obob2o$bo3bo$b5o$3bo3$3b2o$3bo$5bo6$
13b2o$13bo$15bo!
It's not trivial to control the interaction due to the production of dots with some of its catalyses - namely the ones that could be catalysed by a reflected snowflake. However, it still is one of the most frequent <insert new generic name for engineerable patterns such as Herschels, B, etc> in Snowflakes so I'm not giving up on it.
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