B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8

For discussion of other cellular automata.
MathAndCode
Posts: 5142
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Re: Blizzard (B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8)

Post by MathAndCode » July 25th, 2021, 1:36 pm

silversmith wrote:
July 24th, 2021, 8:14 am
A snowflake to pre-bullet

Code: Select all

x = 20, y = 9, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
6bo$5bobo8bo$2bobo11b3o$3o15bo$o$13b3ob3o2$18bo$18bo!
Here is a snowflake shuttle that I found while experimenting with the initial catalyst:

Code: Select all

x = 20, y = 9, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
3bo12bo$b3o12b3o$bo16bo$8bo4b2o$4o4bo7b4o$8bo4b2o$bo16bo$b3o12b3o$3bo
12bo!


Edit: Further experimentation yielded a p120 prehive shuttle that can be used as a sparker or prehive factory.

Code: Select all

x = 38, y = 38, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
24b3o$24b3o$17bo6b3o$14b2obob2o$14bo2bo2bo$13b2o2bo2b2o$25b2o$o25b2o$
o21bo2b3o$27b3o$27b4o$22bo6bo$22bobo3bo3b2o$23bo8b2o$25bo$25bo$29b2o$
29bo$28b2o3$5b2o10bo$5bo$4b2o2$16b3o$b2o13b3o$b2o6$32bo2bo$13b2o2bo2b
2o8b3o2b3o$14bo2bo2bo9bo6bo$14b2obob2o$17bo!


Another edit: Here are four oscillators (with periods fifteen, nine, eleven, and nine) that use that catalyst:

Code: Select all

x = 11, y = 9, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
3bo$b3o6bo$bo8bo$4bo$3ob2o$4bo$bo8bo$b3o6bo$3bo!

Code: Select all

x = 13, y = 9, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
3bo$b3o$bo$4bo6b2o$5o4bo$4bo4b2o$bo$b3o$3bo!

Code: Select all

x = 11, y = 9, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
3bo$b3o$bo$4bo$3ob2o$4bo$bo7b2o$b3o5b2o$3bo!

Code: Select all

x = 15, y = 9, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
3bo6b2o$b3o6b2o$bo$7b2o$4obob2o4b2o$7b2o4b2o$bo$b3o6b2o$3bo6b2o!
I am tentatively considering myself back.

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Tropylium
Posts: 421
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Re: B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8

Post by Tropylium » September 28th, 2021, 2:08 pm

No one going to comment on the fact that a t-tetromino is a 142251-gen methuselah in this rule?

absolutely crazy growth behavior with a series of messy chaos trains that seem to have good odds of both choking on their own ash and on spawning new trains; there has got to be a puffer engine somewhere in this, perhaps even a diagonal "shootfiller" engine.

Ohhhhhhhhh
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Re: B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8

Post by Ohhhhhhhhh » October 4th, 2021, 8:43 am

The rule itself is interesting, so please anyone find some spaceships or infinite growth in this rule!!!
Why are everyone being tempted to make high-period oscs???
currently I only know a pre-honey-farm-like ship.
And, as the last poster says, T might be made into some sort of spaceships or inf growth.
So I'm planning to do that after some tests.
This is a block of text that can be added to posts you make. There is a 255 character limit.

something useless:

Code: Select all

 #CXRLE Pos=-8,-6
x = 11, y = 10, rule = B3/S23
5bo$6bo$4b3o$9b2o$9b2o3$3o$2bo$bo!

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Re: B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8

Post by silversmith » October 4th, 2021, 11:20 am

Ohhhhhhhhh wrote:
October 4th, 2021, 8:43 am
The rule itself is interesting, so please anyone find some spaceships or infinite growth in this rule!!!
Why are everyone being tempted to make high-period oscs???
currently I only know a pre-honey-farm-like ship.
And, as the last poster says, T might be made into some sort of spaceships or inf growth.
So I'm planning to do that after some tests.
1. This rule doesn’t have many(if any) spaceship frontends other than the c/2 one which drives the T explosion and the pre-honey-farm-like ship.
I have searched for ships with period 3,4,5,6, and 7, with little to no progress toward even a partial result. Other ship speeds may exist but they are either high period or quite large.

2. People make high period oscs because they want to.

3. Infinite growth does exist, there are several examples of guns constructed. There are also natural infinite growths:
A gun

Code: Select all

 x = 32, y = 32, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
bboooboboobboobooboobboobobooobb$
bbooooobbbobbbbbbbbbbobbbooooobb$
oooboobobbobboobboobbobboboobooo$
oobbboobbbobobobbobobobbboobbboo$
ooobooboboobbbbbbbbbbooboboobooo$
boooobobbooobbobbobbooobboboooob$
ooboboobbobboobooboobbobbooboboo$
bbobobbooboobboooobbooboobbobobb$
obbbbbbobobobbobbobbobobobbbbbbo$
obbboooboboooooooooooobobooobbbo$
booooobobooobbboobbbooobobooooob$
bbbbboboooooobboobboooooobobbbbb$
obbobbobbobobobbbbobobobbobbobbo$
obobbbobbobbooobbooobbobbobbbobo$
bboobobooobbboboobobbboooboboobb$
obbbbboobooobbobbobboooboobbbbbo$
obbbbboobooobbobbobboooboobbbbbo$
bboobobooobbboboobobbboooboboobb$
obobbbobbobbooobbooobbobbobbbobo$
obbobbobbobobobbbbobobobbobbobbo$
bbbbboboooooobboobboooooobobbbbb$
booooobobooobbboobbbooobobooooob$
obbboooboboooooooooooobobooobbbo$
obbbbbbobobobbobbobbobobobbbbbbo$
bbobobbooboobboooobbooboobbobobb$
ooboboobbobboobooboobbobbooboboo$
boooobobbooobbobbobbooobboboooob$
ooobooboboobbbbbbbbbbooboboobooo$
oobbboobbbobobobbobobobbboobbboo$
oooboobobbobboobboobbobboboobooo$
bbooooobbbobbbbbbbbbbobbbooooobb$
bboooboboobboobooboobboobobooobb!
A domino puffer

Code: Select all

x = 32, y = 32, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
obbooooobbboooobboooobbbooooobbo$
boobboooboboooooooooobobooobboob$
boobooboobboboboobobobboobooboob$
obboooboooobboobboobboooobooobbo$
oboobbbbbobobobbbbobobobbbbboobo$
oooobbboboooooboobooooobobbboooo$
oobbbbobboboboobboobobobbobbbboo$
ooooboboboobbbobbobbbooboboboooo$
bboobbbbbobboooooooobbobbbbboobb$
boboooooobooboobboobooboooooobob$
bbbobobobobbbbobbobbbbobobobobbb$
ooobooobbobbboooooobbbobbooobooo$
oobbbobbobbbobbbbbbobbbobbobbboo$
oooooooboobobbobbobboboobooooooo$
oobobbooooooboobbooboooooobboboo$
boobbobbobbobbbbbbbbobbobbobboob$
boobbobbobbobbbbbbbbobbobbobboob$
oobobbooooooboobbooboooooobboboo$
oooooooboobobbobbobboboobooooooo$
oobbbobbobbbobbbbbbobbbobbobbboo$
ooobooobbobbboooooobbbobbooobooo$
bbbobobobobbbbobbobbbbobobobobbb$
boboooooobooboobboobooboooooobob$
bboobbbbbobboooooooobbobbbbboobb$
ooooboboboobbbobbobbbooboboboooo$
oobbbbobboboboobboobobobbobbbboo$
oooobbboboooooboobooooobobbboooo$
oboobbbbbobobobbbbobobobbbbboobo$
obboooboooobboobboobboooobooobbo$
boobooboobboboboobobobboobooboob$
boobboooboboooooooooobobooobboob$
obbooooobbboooobboooobbbooooobbo!
A messy 57c/411 puffer

Code: Select all

 x = 32, y = 32, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
bboobbbbobbbobbbbbbobbbobbbboobb$
bbooooooooooobbbbbbooooooooooobb$
oobobobbobboobooooboobbobboboboo$
oooooobobbooobbbbbbooobboboooooo$
bobooobobbbbobbbbbbobbbbobooobob$
boooobbobooobobbbbobooobobboooob$
bobbbbboobbobobbbbobobboobbbbbob$
bobooooobobbboboobobbbobooooobob$
ooobbbobobbbbbbbbbbbbbbobobbbooo$
bobbbobobbboboobboobobbbobobbbob$
bobobobbbbbbboooooobbbbbbbobobob$
boooboobboboobbbbbboobobboobooob$
ooooobbbbbboobboobboobbbbbbooooo$
bbbbboooboobboboobobboobooobbbbb$
bbobbbbbboobbbbbbbbbboobbbbbbobb$
bbobbbbobboboobooboobobbobbbbobb$
bbobbbbobboboobooboobobbobbbbobb$
bbobbbbbboobbbbbbbbbboobbbbbbobb$
bbbbboooboobboboobobboobooobbbbb$
ooooobbbbbboobboobboobbbbbbooooo$
boooboobboboobbbbbboobobboobooob$
bobobobbbbbbboooooobbbbbbbobobob$
bobbbobobbboboobboobobbbobobbbob$
ooobbbobobbbbbbbbbbbbbbobobbbooo$
bobooooobobbboboobobbbobooooobob$
bobbbbboobbobobbbbobobboobbbbbob$
boooobbobooobobbbbobooobobboooob$
bobooobobbbbobbbbbbobbbbobooobob$
oooooobobbooobbbbbbooobboboooooo$
oobobobbobboobooooboobbobboboboo$
bbooooooooooobbbbbbooooooooooobb$
bboobbbbobbbobbbbbbobbbobbbboobb!
This could theoretically be stabilized into a ship, but it would be incredibly difficult.

These natural patterns can be found at the rule’s Catagolue page, where every spaceship is based on the common c/2 ship.
silversmith wrote:
July 16th, 2021, 6:49 pm
The rule is apgsearchable with D8_4 symmetry
https://catagolue.hatsya.com/census/b2c ... r6ei8/D8_4
Edit 1: Within the soup for the messy puffer I saw an interesting pattern, which can be made into a catalyst, oscillator(p14, 15, 16), or a drifter signal.

Code: Select all

 x = 57, y = 29, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
28b2o4b2o$4bo23b2o4b2o$2b3o26b2o5b2o$2bo35b2o$5b2o2b2o4b2o12b2ob2o2bo
$5b2o2b2o4b2o12b2o5bobo$2b2o8b2o24bo$34b2o5b2o$2ob2o5b2ob2o19b2o5b2o$
2o8b2o26b2o5b2o$4bo9bo30b2o$36b2ob2o2bo$36b2o5bobo$45bo$41b2o5b2o$41b
2o5b2o$45b2o5b2o$4bo47b2o$2b3o38b2ob2o2bo$2bo40b2o5bobo$5b2o2b2o4b2o
2b2o4b2o25bo$5b2o2b2o4b2o2b2o4b2o21b2o5b2o$2bobo7bobo7bobo23b2o5b2o$
52b2o$2o8b2o8b2o4b2o$2o8b2o8b2o4b2o22b2ob2o$4bo9bo35b2o$2b3o7b3o39bo$2b
o9bo!
Edit 2: The signals can be turned 90 degrees, with a repeat time of 16, which allows for oscillators with any period 16 or greater.

Code: Select all

 x = 103, y = 49, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
82b2o$82b2o3bo$76b2o2bo4b3o$76bo3bobo2bo$75b2o5bo5b2o$78b2o8b2o$78b2o
5b2o$14b2o$14bo8b2o58b2ob2o$23b2o58b2o6b2o$15b3o3bo69b2o3bo$21bo6b2o
55b2o2bo4b3o$11b2o5bo2bo6b2o55bo3bobo2bo$11b2o5b2o6bo57b2o5bo5b2o$7b2o
5b2o6bo2b3o5b2o20b2o30b2o8b2o$7b2o4bo6b3o3bo6b2o20b2o7b2o21b2o5b2o$
10bo5b2o2bo3b2o5bo26bo2b2ob2o$9bo6b2o6b2o4b3o23bobo33b2ob2o$9bo18b2obo
3b2o19bo5b2o5b2o21b2o6b2o$4b2o5b2o15b2o5b2o15b2o5b2o8b2o29b2o$4b2o5b2o
19bo19b2o5b2o5bo27b2o2bo$7b2o23bobo5b2o6b2o5b2o6bo2bobo5b2o18bo3bobo$
34bo5b2o6b2o11b3o4bo2b2ob2o17b2o5bo$6b2ob2o20b2o4b2o12bo2b2ob2o2bo3b
2o29b2o$b2o2bo3b2o20b2o16bobo5b2o6b2o5b2o5b2o15b2o$b2o32b2ob2o9bo19b2o
8b2o11b2o5b2o$7b2o26b2o3bo11b2o15b2o5bo15b2o$3bobo2bo23b2o5bo12b2o19b
o2bobo5b2o9bo2b2ob2o$3bo4b2o23bo3bobo9b2o5b2o13b3o4bo2b2ob2o7bobo5b2o
$5b2o26b2o2bo18b2o13bo3b2o16bo$5b2o32b2o6b2ob2o2bo20b2o5b2o5b2o5b2o$
2b2o5b2o20b2o6b2o6b2o5bobo22b2o8b2o5b2o$9b2o20b2o23bo22b2o5bo5b2o$2ob
2ob2o26b2o16b2o5b2o22bo2bobo$2o4b3o43b2o5b2o20b3o4bo2b2ob2o$8bo20b2o3b
ob2o18b2o5b2o16bo3b2o7b2o$5bo6b2o15b2o5b2o25b2o20b2o$5b2o5b2o40b2ob2o
2bo$9b2o5b2o6b2o5bobo20b2o5bobo$10b2o4b2o3bo2b2o5bo31bo$7bo2b2o7b3o4b
obo4b2o24b2o5b2o$7b2o4b3o3bo13b2o24b2o5b2o$22b2o5b2o32b2o5b2o$12bo9b
2o5b2o39b2o$12b2o6bo3bo36b2ob2o2bo$19b3o39b2o5bobo2b2o6b2o7b2o7b2o$17b
2obo3bo45bo2bo7bo7b2obo5b2obo$17b2o7b2o38b2o5b2o6b2o7b2o7b2o$26b2o38b
2o!
A simulator with the tools I couldn’t find elsewhere: https://www.silversimulations.com/caplayer/
Documentation:https://github.com/teraxtech/caplayer

MathAndCode
Posts: 5142
Joined: August 31st, 2020, 5:58 pm

Re: B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8

Post by MathAndCode » April 14th, 2024, 6:16 pm

I came back to this rule and found a p28 snowflake hassler fairly quickly.

Code: Select all

x = 17, y = 17, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
10bo$10bo$8bo$4b2o2b2o$13bo$8bo4bo$2o6bo$3bo2bo$2b2o9b2o$7bo5bo$6b3o6b
2o$3bo3bo$3bo$7b2o2b2o$8bo$6bo$6bo!
There's probably a bunch of interesting stuff left in this rule—although not necessarily more interesting compared to alternative rules that one could search.



Edit: Indeed, here is a p37 oscillator:

Code: Select all

x = 22, y = 13, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
7bo6bo$7b3o2b3o$9bo2bo2$b2o5bo4bo$2bo18bo$o8b4o8bo$o18bo$8bo4bo5b2o2$
9bo2bo$7b3o2b3o$7bo6bo!
The engine can yield oscillators with other periods, such as this p25:

Code: Select all

x = 22, y = 13, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
7bo6bo$7b3o2b3o$9bo2bo$2o$2o$9bo2bo$9bo2bo$9bo2bo$20b2o$20b2o$9bo2bo$
7b3o2b3o$7bo6bo!
The p25 can support this p50 with the same engine:

Code: Select all

x = 52, y = 47, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
8b2o32b2o$8b2o32b2o3$6bo38bo$4b5o34b5o$2bobobobobo31b2obob2o$2ob3ob3o
b2o26b2ob3ob3ob2o$bo2bobobo2bo28bo2bobobo2bo$b2ob5ob2o28b2obo3bob2o$3b
o5bo32bo2bo2bo$3bo5bo32bo2bo2bo$b2ob5ob2o28b2obo3bob2o$bo2bobobo2bo28b
o2bobobo2bo$2ob3ob3ob2o26b2ob3ob3ob2o$2bobobobobo5bo18bo6b2obob2o$4b5o
7bo18bo7b5o$6bo11bo3bo6bo3bo11bo$17b2o3b3o2b3o3b2o$16bo7bo2bo7bo$3b2o
12bo2bo10bo2bo12b2o$3b2o5bo6b3o12b3o6bo5b2o$9bobo2b2o8bo2bo8b2o2bobo$
6b2obob2ob3o7bo2bo7b3ob2obob2o$9bobo2b2o8bo2bo8b2o2bobo$3b2o5bo6b3o12b
3o6bo5b2o$3b2o12bo2bo10bo2bo12b2o$16bo7bo2bo7bo$17b2o3b3o2b3o3b2o$6bo
11bo3bo6bo3bo11bo$4b5o7bo18bo7b5o$3b2obob2o6bo18bo5bobobobobo$2ob3ob3o
b2o26b2ob3ob3ob2o$bo2bobobo2bo28bo2bobobo2bo$b2obo3bob2o28b2ob5ob2o$3b
o2bo2bo32bo5bo$3bo2bo2bo32bo5bo$b2obo3bob2o28b2ob5ob2o$bo2bobobo2bo28b
o2bobobo2bo$2ob3ob3ob2o26b2ob3ob3ob2o$3b2obob2o31bobobobobo$4b5o34b5o
$6bo38bo3$8b2o32b2o$8b2o32b2o!
Here is a p77 sparker with the same engine:

Code: Select all

x = 44, y = 21, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
4b2o3b2o$4b2o3b2o$7bo$6b3o$b2o15bo6bo$b2o15b3o2b3o$20bo2bo14b2o2$6b3o
27b2o$2o10b2o6bo2bo6bob2o2b2o2b2o$3bo6b2obo6bo2bo6bob2o6bo$2b2o2b2o2b
2obo6bo2bo6b2o10b2o$6b2o27b3o2$4b2o14bo2bo$18b3o2b3o15b2o$18bo6bo15b2o
$35b3o$36bo$33b2o3b2o$33b2o3b2o!
Lastly, here is a p15 with a similar engine:

Code: Select all

x = 18, y = 13, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
11bo$9b3o$2o7bo$2o13b2o$13bo2bo$6bo2bo6b2o$6bo2bo$6bo2bo2$14b2o$2o4bo
7b2o$2o2b3o$4bo!
Either symmetric version also works.



Second edit: Here is a p51 (octuple) T factory whose engine converges to a later stage of the first engine.

Code: Select all

x = 48, y = 48, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
11b2o22b2o5$20bo6bo$20b3o2b3o$7b2o13bo2bo13b2o$7b2o30b2o$10bo26bo$9b2o
9bo6bo9b2o$o18b3o4b3o18bo$o19bo6bo19bo3$22bo2bo$20b3o2b3o$20bo6bo2$11b
o24bo$5b2o3b3o3b2o12b2o3b3o3b2o$6bo4bo4bo14bo4bo4bo$6b2o7b2o14b2o7b2o
3$6b2o7b2o14b2o7b2o$6bo4bo4bo14bo4bo4bo$5b2o3b3o3b2o12b2o3b3o3b2o$11b
o24bo2$20bo6bo$20b3o2b3o$22bo2bo3$o19bo6bo19bo$o18b3o4b3o18bo$9b2o9bo
6bo9b2o$10bo26bo$7b2o30b2o$7b2o13bo2bo13b2o$20b3o2b3o$20bo6bo5$11b2o22b
2o!
Monomerization unfortunately does not look likely.



Third edit: Here is a p21 oscillator with a completely different engine.

Code: Select all

x = 20, y = 13, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
7b2o$10bo$3bo5b2o5bo$b3o12b3o$bo16bo$5bo3b2o3bo$2ob4o2b2o2b4ob2o$5bo3b
2o3bo$bo16bo$b3o12b3o$3bo5b2o5bo$9bo$11b2o!


Fourth edit: Here is a p19 oscillator.

Code: Select all

x = 21, y = 10, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
17bo$3bo13b3o$b3o15bo$bo15bo$3bo12b5o$5o12bo$3bo15bo$bo15b3o$b3o13bo$
3bo!


Fifth edit: Here is a p11 oscillator.

Code: Select all

x = 17, y = 17, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
7bo$7b3o$9bo4$7bobo$b2o3bo3bo4b2o$bo13bo$2o4bo3bo3b2o$7bobo4$7bo$7b3o
$9bo!


Sixth edit: Here is a p49 oscillator.

Code: Select all

x = 16, y = 8, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
2o$2o$3bo$2b3o$3bo$2o$2o12b2o$14b2o!


Seventh edit: Here is a p22 snowflake factory (turned into a sparker here).

Code: Select all

x = 14, y = 12, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
9b2o$7bo$2o5b2o$2o$4bo$3b3o2bo$4bo2b3o$2o5b3o$2o6bo4bo$13bo$11bo$11b2o!
The snowflake can be destroyed in a way that makes sparks that rephases the part that creates it to p32.

Code: Select all

x = 13, y = 16, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
9b2o$7bo$2o5b2o$2o$3b2o$2b3o$3b2o$2o$2o4$11b2o$7bo3b2o$7b3o$9bo!


Eighth edit: Two copies of the snowflake factory engine (and some blocks) make a p56 oscillator.

Code: Select all

x = 15, y = 24, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
9b2o$7bo$2o5b2o$2o$3bo2bo$3bo2bo$3bo2bo$2o$2o$12b2o$3b2o7b2o$3b2o$10b
2o$10b2o2$13b2o$13b2o$8bo2bo$8bo2bo$8bo2bo$13b2o$6b2o5b2o$7bo$4b2o!
Also, a Z-pentomino can rephase the period of a single engine to 23.

Code: Select all

x = 14, y = 9, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
9b2o$7bo$2o5b2o$2o$3bo$2b3o7b2o$3bo8bo$2o9b2o$2o!


Ninth edit: A Z-pentomino in a different place changes the period to 28.

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x = 11, y = 15, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
9b2o$7bo$2o5b2o$2o$4bo$2bob2o$4bo$2o$2o4$9bo$7b3o$7bo!
Also, two blocks placed in the proper way double the period of the p22 snowflake factory to 44.

Code: Select all

x = 13, y = 13, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
9b2o$7bo$2o5b2o$2o$4b2o$4b2o$4b2o$2o$2o3$5bo6bo$5b2o4b2o!
Alternatively, we can use two copies of the engine.

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x = 20, y = 21, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
9b2o$7bo$2o5b2o$2o$3bo$2b3o$3bo$2o$2o2$7b2o2b2o2$18b2o$18b2o$16bo$15b
3o$16bo$18b2o$11b2o5b2o$12bo$9b2o!
Furthermore, there is a period-tripling reaction to p66.

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x = 12, y = 13, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
9b2o$7bo$2o5b2o$2o$4bo$2bob2o$4bo$2o$2o3$4b2o4b2o$4b2o4b2o!
Lastly, I found an interesting (albeit not ostensibly useful) transparent reaction.

Code: Select all

x = 18, y = 22, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
9b2o$7bo$2o5b2o$2o$4bo$2bob2o$4bo$2o$2o2$7bo2bo$7bo2bo2$16b2o$16b2o$13b
o$12b2obo$13bo$16b2o$9b2o5b2o$10bo$7b2o!
I am tentatively considering myself back.

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