## Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

For discussion of other cellular automata.
Posts: 1979
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

A rule so named for this common still life, which crystallizes from a simple seed:

Code: Select all

x = 15, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3bo$b5o$bo3bo$2obob2o5bobo$bo3bo$b5o$3bo!
A c/2 glider can collide with a snowflake, pushing it back and creating a glider:

Code: Select all

x = 21, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3bo$b5o$bo3bo13b2o$2obob2o12bo$bo3bo13b2o$b5o$3bo!
Feeding this reaction back into itself creates O(sqrt(t)) bounding box growth: (Credit: Danny)

Code: Select all

x = 37, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3bo29bo$b5o25b5o$bo3bo13b2o10bo3bo$2obob2o12bo10b2obob2o$bo3bo13b2o10b
o3bo$b5o25b5o$3bo29bo!
A Z can push the snowflake back, creating a 90/180 degree reflector:

Code: Select all

x = 19, y = 28, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8bo$6b5o$6bo3bo6b2o$2bo2b2obob2o5bo$3o3bo3bo6b2o$o5b5o$8bo20$13b3o$13b
obo!
Various oscillators: (Credit: Danny, M. I. Wright, and myself)

Code: Select all

x = 25, y = 75, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo$2bo9bo$3o4bo4b3o$o13bo10$2bo3bobo2bo$3o8b3o$o12bo$2b2o6b2o$3bo6bo$3b2o4b2o6$7bo8bo$2bo18bo$3o4bo8bo4b3o$o22bo8$7bo$2bo10bo$3o4bo5b3o$o 14bo4$5b2o$6bo$6b2o3$15bo$13b3o$13bo$2bo3bobo$3o$o3$8b2o$9bo$9b2o3$11b
2o$12bo$12b2o3$24bo$7bo9bo4b3o$2bo19bo$3o4bo9bo$o3$11b2o$12bo$12b2o!
From top to bottom: p11, p18, p33, p34, p68, p69
Tiny p12 dot puffer: (Credit: Danny)

Code: Select all

x = 7, y = 12, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o$bo$b2o$2o$4b2o$5b2o$5bo$obo2$4b2o$5bo$3b3o!
Finally, tiny p12 backrake:

Code: Select all

x = 8, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
b2o2b2o$2bo3b2o$3o3bo$5bo2$5b2o$6bo$5b2o2$5bo$6bo$6b2o$5b2o!
EDIT: Interesting p316 puffer:

Code: Select all

x = 16, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9b2o2b2o$10bo3b2o$8b3o3bo$13bo2$2o6b2o3b2o$bo6bo5bo$2o6b2o3b2o2$13bo$
14bo$14b2o$13b2o!
EDIT 2/3: p38/44+4N glider guns:

Code: Select all

x = 37, y = 72, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
30b2o$31bo$31b2o3$32bo$30b5o$30bo3bo$29b2obob2o$32bo4$32bobo$32b3o3$
16b2o$7bo7bob2o6b3o6b2o$2bo13b2o7bobo7bo$3o4bo17b3o6b2o$o3$32bo$30b5o$30bobobo$29b2o3b2o5$31b2o$31bo$30b2o3$31b2o$32bo$32b2o3$33bo$31b5o$31b o3bo$30b2obob2o$33bo4$32bobo$32b3o3$7bo8b2o$2bo12bob2o6b3o6b2o$3o4bo8b
2o7bobo7bo$o24b3o6b2o4$32bo$30b5o$30bobobo$29b2o3b2o5$31b2o$31bo$30b2o
!
Move the top and left reflectors away from the center by N cells to increase the period by 4N.
EDIT 4: p41+4N glider gun:

Code: Select all

x = 49, y = 48, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
43b2o$44bo$44b2o3$45bo$43b5o$43bo3bo$42b2obob2o$45bo4$45bobo$45b3o16$
16b2o12b2o$7bo7bob2o10b2obo7bo$2bo13b2o12b2o$3o4bo32bo4b3o$o44bobo4$45bo$42b2obob2o$43bo3bo$43b5o$45bo3$44b2o$44bo$43b2o!
Move the top and left reflectors and the corresponding gliders away from the center by 2N cells to increase the period by 4N.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

calcyman
Posts: 2367
Joined: June 1st, 2009, 4:32 pm

### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

I really like this rule! I see that Danny has taken the liberty of Catagoluing it: https://catagolue.appspot.com/census/b2 ... 5ar6i7e/C1

Guns exist for all periods greater than or equal to 34:

Code: Select all

x = 100, y = 68, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
41b2o$42bo$42b2o3$43bo$41b5o$41bo3bo$40b2obob2o$41bo3bo$41b5o11b2o$8bo 34bo13bo$6b5o45b2o$6bo3bo14b2o15b2o$2bo2b2obob2ob3o10bo16bo$3o3bo3bo2b obo9b2o15b2o12bo$o5b5o43b5o$8bo45bo3bo$53b2obob2o$54bo3bo$54b5o$56bo 34bo$89b5o$56b2o15b2o14bo3bo$56bo16bo10b3ob2obob2o2bo$42bobo11b2o15b2o 9bobo2bo3bo3b3o$42b3o44b5o5bo$91bo4$13b3o$13bobo3$55bobo$55b3o4$49bo$47b5o32b3o$14b2o15b2o9bobo2bo3bo6b2o15b2o7bobo5b2o$14bo16bo10b3ob2obob 2o4bob2o13bob2o13bob2o$14b2o15b2o14bo3bo6b2o15b2o15b2o$47b5o$14bo34bo$12b5o$12bo3bo$11b2obob2o$12bo3bo33bo$12b5o25bo5b5o$14bo27b3o3bo3bo2bob
o9b2o15b2o$44bo2b2obob2ob3o10bo16bo$48bo3bo14b2o15b2o$14b2o32b5o$15bo
34bo34bo$15b2o66b5o$83bo3bo$82b2obob2o$83bo3bo$83b5o$85bo3$84b2o$84bo$83b2o! What do you do with ill crystallographers? Take them to the mono-clinic! KittyTac Posts: 534 Joined: December 21st, 2017, 9:58 am ### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e) I'm apgsearching this. dani Posts: 1024 Joined: October 27th, 2017, 3:43 pm Location: New Jersey, USA Contact: ### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e) Ah, yes, this rule. How would one search for a pull reaction that also reflects the glider? Other than that, this 2c/12 diagonal spaceship popped out of apgsearch: Code: Select all x = 4, y = 5, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e bo$3o$3bo2$o2bo!
Pretty much all Z-based things can have each Z reduced to this 4-cell still life (don't know how it slipped past everyone, haha.):

Code: Select all

x = 17, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8bo$6b5o5bo$2o4bo3bo3bo$bo3b2obob2o2b2o$2o4bo3bo$6b5o$8bo!
Also, a fun smaller p18 completely unrelated to the one in the OP:

Code: Select all

x = 13, y = 6, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
b2o$2bo$o4bobo$12bo$10bo$10b2o! Various oscillators are on catagolue, but this one is my favourite. Cheers! she/her KittyTac Posts: 534 Joined: December 21st, 2017, 9:58 am ### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e) How to determine who has discovered an object in the Catalogue? dani Posts: 1024 Joined: October 27th, 2017, 3:43 pm Location: New Jersey, USA Contact: ### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e) KittyTac wrote:How to determine who has discovered an object in the Catalogue? Replace "object" in the url with "attribute". Please don't ask questions like that on this thread, that should go on general catagolue discussion or even the apgsearch thread. (EDIT: Looking back on it now, that may have come off as rude, deepest apologies) - This is probably gun-able: Code: Select all x = 21, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 7bo$5b5o$2o3bo3bo9b2o$bo2b2obob2o8bo$2o3bo3bo9b2o$5b5o$7bo! I tried but the timing of the reflectors was off. p35 and p39 activated by r-glider: Code: Select all x = 72, y = 24, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 14bo40bo$14bobo38bobo$14b3o38b3o4$22bo40bo$8bo11b5o23bo12b5o$6b5o9bo3b
o3b2o16b5o10bo3bo3b2o$b2o3bo3bo8b2obob2o2bo12b2o3bo3bo9b2obob2o2bo$2bo
2b2obob2o8bo3bo5bo11bo2b2obob2o9bo3bo5bo$o5bo3bo9b5o15bo5bo3bo10b5o$6b
5o5bo5bo23b5o6bo5bo$8bo5b5o29bo6b5o$14bo3bo36bo3bo$13b2obob2o34b2obob 2o$14bo3bo36bo3bo$14b5o36b5o$16bo40bo3$15b2o39b2o$15bo40bo$17bo40bo! p17: Code: Select all x = 9, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 3bo$5bo$4b2o$o2$3bobo2bo2$o$4b2o$5bo$3bo! - D8_1 search was fruitful, here are the results as well as some noodling (there are a bunch of oscillators on the catagolue page. Seems like the only periods missing now are 13, 15, 22, 25, 27-31 until this rule is omniperiodic.): Code: Select all x = 54, y = 132, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 5bo2$5bo$4b3o$2obo$o5bo$2obo$4b3o$5bo2$5bo10$6bo2$6bo$5b3o$b2obo$bo5bo
$b2obo$5b3o$6bo2$6bo7$5b3o2$8bo$3bo$3o$obo3bo2bo$3o$3bo$8bo2$5b3o13$2b
o$4bo2$4bo2$4bo2$o4$o2$4bo2$4bo2$4bo$2bo12$25b2o$26bo$26b2o3$26bo$24b
5o$24bo3bo$23b2obob2o$24bo3bo$24b5o$26bo18bo$43b5o$43bo3bo5bo$42b2obob
2o2b3o$43bo3bo3bo$43b5o$45bo$30b2o$31bo$31b2o2$5bo2$5bo$4b3o$2obo$o5bo$2obo$4b3o$5bo33bo$37b5o$5bo31bo3bo$36b2obob2o$31b2o4bo3bo$31bo5b5o$
30b2o7bo3$38b2o$39bo$39b2o! Last edited by dani on March 16th, 2018, 12:04 pm, edited 1 time in total. she/her toroidalet Posts: 1232 Joined: August 7th, 2016, 1:48 pm Location: My computer Contact: ### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e) danny wrote:This is probably gun-able: Code: Select all rle p120+12N gun: Code: Select all x = 128, y = 40, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 98bo3$15bo102bo$7bo5b5o15bo66bo15b5o5bo$9bo3bo3bo8b2o3b5o62b5o3b2o8bo
3bo3bo$8b2o2b2obob2o8bo3bo3bo9b2o40b2o9bo3bo3bo8b2obob2o2b2o$13bo3bo8b
2o2b2obob2o7b2obo38bob2o7b2obob2o2b2o8bo3bo$13b5o13bo3bo9b2o40b2o9bo3b o13b5o$15bo15b5o62b5o15bo$33bo66bo3$31bo$98bo11$98bo$25bo2$8bo110bo$o 5b5o16bo72bo16b5o5bo$2bo3bo3bo9b2o3b5o68b5o3b2o9bo3bo3bo$b2o2b2obob2o 9bo3bo3bo9b2o46b2o9bo3bo3bo9b2obob2o2b2o$6bo3bo9b2o2b2obob2o7b2obo44bo
b2o7b2obob2o2b2o9bo3bo$6b5o14bo3bo9b2o46b2o9bo3bo14b5o$8bo16b5o68b5o
16bo$27bo72bo4$98bo!
It's not too useful until we get a use for r-gliders.
Toggle-switch contraption:

Code: Select all

x = 16, y = 50, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8bo$6bo$6b2o2$8bo$6b5o$6bo3bo$5b2obob2o$6bo3bo$6b5o$8bo3$8b2o$9bo$7bo
6$13b3o$13bobo$15bo10$14bo$13b3o$12bo2bo12$3o$obo$2bo! Safe repeat time for r-gliders on any side 25 Safe interstream repeat time 37 "But if you close your eyes—does it almost feel like nothing's changed at all? And if you close your eyes—does it almost feel like you've been here before..." AbhpzTa Posts: 511 Joined: April 13th, 2016, 9:40 am Location: Ishikawa Prefecture, Japan ### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e) p25 from Catagolue, reduced: Code: Select all x = 11, y = 8, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 10bo$o$7bobo$bo$10bo$2b2o$2bo$4bo!
p30:

Code: Select all

x = 25, y = 25, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
14bo$12bo$12b2o6$11bobo2$o$2bo5bo7bo$b2o19b2o$8bo7bo5bo$24bo2$11bobo6$
11b2o$12bo$10bo!
p30 gun:

Code: Select all

x = 52, y = 68, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
30bo$28bo$28b2o4$28bo$27b3o$28bo2$16bo$14bo3bo4bo9bo$12bo4b2o3b3o7b3o
3b2o$12b2o9bo9bo4bo$40bo2$12bo15bo$10b5o12b3o$10bo3bo13bo$9b2o3b2o$8bo 7bo$o5b3o7b3o$2bo3bo11bo7b2o$b2o2b2o11b2o5bob2o$6bo11bo7b2o$6b3o7b3o$8bo7bo$9b2o3b2o$10bo3bo8bo$10b5o7b3o$12bo9bobo2bobo$23bo3b3o$41bo$11b
2o26bo$12bo26b2o$10bo30bo2$39bo2$36b2obob2o$37bo3bo$34bo2b5o2bo$34b3o 2bo2b3o$23bo12bo5bo$22b3o5bobobob2o3b2obobo2b2o$22bobo11bo5bo6bo$19bo 3bo10b3o2bo2b3o3bo2bo$34bo2b5o2bo$37bo3bo$36b2obob2o$23bo$23bo15bo$23b o$11bo25bo$13bo24b2o$12b2o4b3o5b3o4b2o4bo$33bo3bo$35bo$23bo$23bo$23bo 5$22b2o$23bo$21bo!
p33 gun:

Code: Select all

x = 50, y = 54, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
28bo$26bo$26b2o3$27bo$25b5o$25bo3bo$24b2o3b2o7$24b2o3b2o$25bo3bo$25b5o$27bo3$o7bo6bo6b2o$2bo20bo$b2o5bo6bo6b2o4$26bobo$26b3o2$47b2o$32b3o6b 3o3bo$22bo26bo$21b3o$21bobo$22bo2$19b2o3b2o$20bobobo$20b5o$22bo3$22bo$20b5o$20bobobo$19b2o3b2o5$22b2o$23bo$21bo!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

Saka
Posts: 3616
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

This is a really fun rule.
I was quite surprised to not find this binary counter-esque thing.

Code: Select all

x = 124, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11bo15bo15bo36bo15bo15bo$9b5o11b5o11b5o32b5o11b5o11b5o$3bo5bo3bo5bo5bo
3bo5bo5bo3bo5bo20bo5bo3bo5bo5bo3bo5bo5bo3bo5bo$b5o2b2obob2o2b5o2b2obob 2o2b5o2b2obob2o2b5o7b2o7b5o2b2obob2o2b5o2b2obob2o2b5o2b2obob2o2b5o$bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo7bo8bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo$2obob2o2b5o2b2obob2o2b5o2b2obob2o2b5o2b2obob2o6b2o6b2o bob2o2b5o2b2obob2o2b5o2b2obob2o2b5o2b2obob2o$bo3bo5bo5bo3bo5bo5bo3bo5b
o5bo3bo16bo3bo5bo5bo3bo5bo5bo3bo5bo5bo3bo$b5o11b5o11b5o11b5o16b5o11b5o 11b5o11b5o$3bo15bo15bo15bo20bo15bo15bo15bo!

Code: Select all

x = 284, y = 39, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
67bo$65b5o$59bo5bo3bo5bo$57b5o2b2obob2o2b5o$51bo5bo3bo3bo3bo3bo3bo5bo$49b5o2b2obob2o2b5o2b2obob2o2b5o$43bo5bo3bo3bo3bo5bo5bo3bo3bo3bo5bo$41b 5o2b2obob2o2b5o11b5o2b2obob2o2b5o$35bo5bo3bo3bo3bo5bo15bo5bo3bo3bo3bo
5bo$33b5o2b2obob2o2b5o27b5o2b2obob2o2b5o$27bo5bo3bo3bo3bo5bo31bo5bo3bo
3bo3bo5bo$25b5o2b2obob2o2b5o43b5o2b2obob2o2b5o$19bo5bo3bo3bo3bo5bo47bo
5bo3bo3bo3bo5bo$17b5o2b2obob2o2b5o59b5o2b2obob2o2b5o$11bo5bo3bo3bo3bo
5bo63bo5bo3bo3bo3bo5bo$9b5o2b2obob2o2b5o75b5o2b2obob2o2b5o$3bo5bo3bo3b
o3bo5bo79bo5bo3bo3bo3bo5bo20bo127bo$b5o2b2obob2o2b5o91b5o2b2obob2o2b5o 7b2o7b5o123b5o$bo3bo3bo3bo5bo95bo5bo3bo3bo3bo7bo8bo3bo5bo111bo5bo3bo$2obob2o2b5o107b5o2b2obob2o6b2o6b2obob2o2b5o107b5o2b2obob2o$bo3bo5bo
111bo5bo3bo16bo3bo3bo3bo5bo95bo5bo3bo3bo3bo$b5o123b5o16b5o2b2obob2o2b 5o91b5o2b2obob2o2b5o$3bo127bo20bo5bo3bo3bo3bo5bo79bo5bo3bo3bo3bo5bo$158b5o2b2obob2o2b5o75b5o2b2obob2o2b5o$160bo5bo3bo3bo3bo5bo63bo5bo3bo3b
o3bo5bo$166b5o2b2obob2o2b5o59b5o2b2obob2o2b5o$168bo5bo3bo3bo3bo5bo47bo
5bo3bo3bo3bo5bo$174b5o2b2obob2o2b5o43b5o2b2obob2o2b5o$176bo5bo3bo3bo3b
o5bo31bo5bo3bo3bo3bo5bo$182b5o2b2obob2o2b5o27b5o2b2obob2o2b5o$184bo5bo
3bo3bo3bo5bo15bo5bo3bo3bo3bo5bo$190b5o2b2obob2o2b5o11b5o2b2obob2o2b5o$
192bo5bo3bo3bo3bo5bo5bo3bo3bo3bo5bo$198b5o2b2obob2o2b5o2b2obob2o2b5o$
200bo5bo3bo3bo3bo3bo3bo5bo$206b5o2b2obob2o2b5o$208bo5bo3bo5bo$214b5o$
216bo!
If one side is faster than the other the slower side will be verrrry slow.

Code: Select all

x = 156, y = 23, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
67bo$65b5o$59bo5bo3bo5bo$57b5o2b2obob2o2b5o$51bo5bo3bo3bo3bo3bo3bo5bo$49b5o2b2obob2o2b5o2b2obob2o2b5o$43bo5bo3bo3bo3bo5bo5bo3bo3bo3bo5bo$41b 5o2b2obob2o2b5o11b5o2b2obob2o2b5o$35bo5bo3bo3bo3bo5bo15bo5bo3bo3bo3bo
5bo$33b5o2b2obob2o2b5o27b5o2b2obob2o2b5o$27bo5bo3bo3bo3bo5bo31bo5bo3bo
3bo3bo5bo$25b5o2b2obob2o2b5o43b5o2b2obob2o2b5o$19bo5bo3bo3bo3bo5bo47bo
5bo3bo3bo3bo5bo$17b5o2b2obob2o2b5o59b5o2b2obob2o2b5o$11bo5bo3bo3bo3bo
5bo63bo5bo3bo3bo3bo5bo$9b5o2b2obob2o2b5o75b5o2b2obob2o2b5o$3bo5bo3bo3b
o3bo5bo79bo5bo3bo3bo3bo5bo20bo$b5o2b2obob2o2b5o91b5o2b2obob2o2b5o7b2o 7b5o$bo3bo3bo3bo5bo95bo5bo3bo3bo3bo7bo8bo3bo$2obob2o2b5o107b5o2b2obob 2o6b2o6b2obob2o$bo3bo5bo111bo5bo3bo16bo3bo$b5o123b5o16b5o$3bo127bo20bo
!
Adding a Z to one side is also fun

Code: Select all

x = 81, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11bo15bo15bo$9b5o11b5o11b5o$3bo5bo3bo5bo5bo3bo5bo5bo3bo5bo20bo$b5o2b2o bob2o2b5o2b2obob2o2b5o2b2obob2o2b5o7b2o7b5o$bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo7bo8bo3bo$2obob2o2b5o2b2obob2o2b5o2b2obob2o2b5o2b2obob 2o6b2o6b2obob2o2bo$bo3bo5bo5bo3bo5bo5bo3bo5bo5bo3bo16bo3bo3b3o$b5o11b 5o11b5o11b5o16b5o5bo$3bo15bo15bo15bo20bo!
A moving snowflake can clean up dots

Code: Select all

x = 67, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o25bo$2bo3b3o6b2o7b5o$b2o3bobo7bo7bo3bo$6b3o6b2o6b2obob2o$24bo3bo$24b 5o3bo5bo5bo5bo5bo5bo3bo$26bo!
Random weird fun useless reaction

Code: Select all

x = 44, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo27bo$b2o2b5o23b5o$bo3bo3bo13b2o8bo3bo$2o2b2obob2o12bo8b2obob2o2bo$
5bo3bo13b2o8bo3bo3b3o$5b5o23b5o5bo$7bo27bo!
A (Really bad) start on a pulling reaction

Code: Select all

x = 15, y = 18, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo3$7bo$5b5o$b2o2bo3bo2b2o$bo2b2obob2o2bo$2o3bo3bo3b2o$5b5o$7bo7$5b3o
$5bobo! Currently taking a little break, but still hanging around on the Discord server. Add your computer to the Table of Lifeenthusiast Computers! A for awesome Posts: 2316 Joined: September 13th, 2014, 5:36 pm Location: Pembina University, Home of the Gliders Contact: ### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e) Another p34: Code: Select all x = 15, y = 25, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 6bo$8bo$7b2o5$6bobo2$o13bo$2bo9bo$b2o9b2o$5bo3bo5$6bobo5$7b2o$8bo$6bo!
P35:

Code: Select all

x = 7, y = 33, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo$3bo$3b2o6$2bobo5$3bo$b5o$bo3bo$2obob2o$bo3bo$b5o$3bo5$2bobo6$3b2o$3bo$5bo!
P40:

Code: Select all

x = 17, y = 21, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
10bo$8bo$8b2o5$bo13bo$3bo9bo$2b2o9b2o$o6bobo6bo$2b2o9b2o$3bo9bo$bo13bo 5$8b2o$8bo$10bo!
P12:

Code: Select all

x = 17, y = 15, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11bo$9bo$9b2o2$bo13bo$3bo9bo$2b2o9b2o$o6bobo6bo$2b2o9b2o$3bo9bo$bo13bo 2$9b2o$9bo$11bo!
P24:

Code: Select all

x = 17, y = 17, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11bo$9bo$9b2o3$bo13bo$3bo9bo$2b2o9b2o$o6bobo6bo$2b2o9b2o$3bo9bo$bo13bo 3$9b2o$9bo$11bo!
Another p12:

Code: Select all

x = 17, y = 23, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8bo$5bo5bo$7bobo$6b2ob2o$8bo3$8bo$bo13bo$3bo9bo$2b2o9b2o$o6bobo6bo$2b
2o9b2o$3bo9bo$bo13bo$8bo3$8bo$6b2ob2o$7bobo$5bo5bo$8bo!
Yet another p12:

Code: Select all

x = 17, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6bo3bo$bo13bo$3bo9bo$2b2o9b2o$o6bobo6bo$2b2o9b2o$3bo9bo$bo13bo$6bo3bo!
praosylen#5847 (Discord)

x₁=ηx
V*_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

dani
Posts: 1024
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA
Contact:

### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Probably extremely inefficient 12g 2c/19 synth:

Code: Select all

x = 56, y = 61, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
20bo$19bobo$19b3o$20bo3$18b2o$b2o4b2o9bo$ob2o4bo9b2o$b2o4b2o2$26b2o$25b2obo$26b2o8b2o$36bo17b2o$36b2o16bo$54b2o19$10b3o$10bobo4$15bo$14b3o$14bobo$15bo3$14b3o$14bobo6$11b3o$11bobo5$14b3o$14bobo! Here are all 2G syntheses EXCLUDING the 2G syntheses that catalyze one glider with the other: Code: Select all x = 262, y = 53, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 2o18b2o18b2o18b2o18b2o68b2o18b2o8b2o$bo19bo19bo19bo19bo69bo9b2o8bo9bo$2o8b2o8b2o18b2o18b2o18b2o68b2o8b2obo6b2o8b2o$10bo19b2o19b2o18b2o88b2o$10b2o18bo20bo18b2obo17b2o$30b2o19b2o18b2o17b2obo$91b2o78b3o9bo$171bobo
8b3o$182bobo$183bo$2o8b2o13b2o123b2o18b2o18b2o18b2o8b2o$bo9bo14bo124bo
9b2o8bo19bo19bo9bo$2o8b2o13b2o123b2o9bo8b2o9b2o7b2o9b2o7b2o8b2o$161b2o
18bo18b2obo$181b2o18b2o2$27bo197bo$6b3o17b3o195b3o$6bobo7b3o7bobo185b
3o7bobo$16bobo8bo186bobo8bo$150b2o9b2o87b2o8b2o$151bo9bo89bo8bo$150b2o
9b2o87b2o8b2o8$150b2o18b2o$151bo8b2o9bo$150b2o8bo9b2o$160b2o$180b2o$
180bo$180b2o14$150b2o9b2o$151bo8b2obo$150b2o9b2o!
No 2G snowflakes or single gliders, unfortunately

EDIT: Funky G->2R:

Code: Select all

x = 14, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
13bo$5bobo3bo$b2o2b3o3b2o$2bo$o4bo3$b2o$2bo$o$5b2o$5bo$7bo!
Related p36 gun (should allow for arbitrary periods of 40+8n, too, but also 36 for some reason):

Code: Select all

x = 14, y = 28, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo$5bo$5b2o3$5b3o$4b2ob2o$4bo3bo$4b2ob2o$5b3o6$13bo$5bobo3bo$b2o2b3o
3b2o$2bo$o4bo3$b2o$2bo$o$5b2o$5bo$7bo!
she/her

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Another funky G-2R, this one going forward:

Code: Select all

x = 14, y = 16, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6bo$5bobo$5b3o$6bo5$11b2o$b2o8bo$2bo10bo$o6bo2$9b2o$9bo$11bo!
BlinkerSpawn noted in Discord that both duplicators' 180-degree output can be suppressed, giving a minimum repeat time of 40:

Code: Select all

x = 35, y = 34, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo19bo$6bobo17bobo$6b3o17b3o$7bo19bo15$bo31bo$3bo27bo$2b2o3bo19bo3b2o
$o5bobo17bobo5bo$2bo3b3o17b3o3bo$b2o4bo3b2o9b2o3bo4b2o$11bo11bo$6bo6bo 7bo4bo2$3b2o$4bo17b2o$2bo20bo$21bo$26b2o$26bo$28bo!
Here are a few potential avenues for an R-G demoter:

Code: Select all

x = 51, y = 15, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o9bo14bo14bo9bo$2bo2bo2bo33bo5bo$b2o5b2o10bo9bo10b2o2bo2b2o$22bo5bo$
21b2o5b2o10bo9bo$4b3o35bo5bo$4bobo34b2o5b2o$6bo3$24b3o$24bobo$26bo17b
3o$44bobo$46bo!
With the left-hand one, I was able to find these two parity-agnostic R-R period doublers:

Code: Select all

x = 33, y = 68, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11bo19bo$9bo19bo$9b2o18b2o2$12bo19bo$10bo19bo$10b2o18b2o2$bo19bo$3bo2b o2bo13bo2bo2bo$2b2o5b3o10b2o5b3o$11bo19bo4$b2o7b2o9b2o7b2o$2bo2b3o2bo 11bo2b3o2bo$o4bobo4bo7bo4bobo4bo$7bo17bo14$6bo19bo$5b3o17b3o$5bo2bo15b
o2bo15$5b3o17b3o$5bobo17bobo$5bo21bo14$6bo19bo$5b3o17b3o$4bo2bo17bo2bo
!

Code: Select all

x = 43, y = 79, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11bo29bo$9bo29bo$9b2o28b2o2$12bo29bo$10bo29bo$10b2o28b2o2$bo29bo$3bo2b o2bo23bo2bo2bo$2b2o5b3o20b2o5b3o$11bo29bo3$b2o7b2o19b2o7b2o$2bo7bo21bo 7bo$o4b3o4bo17bo4b3o4bo$5bobo27bobo$7bo27bo18$5b3o27b3o$5bobo27bobo$7b o27bo18$5b3o27b3o$5bobo27bobo$7bo27bo18$5b3o27b3o$5bobo27bobo$7bo29bo! Minimum repeat time for the first is 33 and for the second 40. gamer54657 wrote:God save us all. God save humanity. hgkhjfgh nutshelltlifeDiscord 'Conwaylife Lounge' toroidalet Posts: 1232 Joined: August 7th, 2016, 1:48 pm Location: My computer Contact: ### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e) I self-corollary sniped: that word is so hard to spell P120+12N glider gun (EDIT: smaller): Code: Select all x = 128, y = 63, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 27bo$25bo$25b2o3$26bo$24b5o$24bo3bo$23b2obob2o$24bo3bo$24b5o$26bo6bo$31b5o34bo$31bo3bo32b5o$30b2obob2o11b2o18bo3bo5bo$31bo3bo12bo18b2obob2o
2bo$31b5o12b2o18bo3bo3b2o17bo$33bo34b5o$7bo62bo41bo$o6b3o16bo66bo16b3o
6bo$2bo6bo9b2o3b5o62b5o3b2o9bo6bo$b2o2b3ob2o9bo3bo3bo9b2o40b2o9bo3bo3b
o9b2ob3o2b2o$9bo9b2o2b2obob2o7b2obo38bob2o7b2obob2o2b2o9bo$7b3o14bo3bo
9b2o40b2o9bo3bo14b3o$7bo16b5o62b5o16bo$26bo66bo3$28bo62bo6$28bo$26bo$
26b2o3$27bo$25b5o$25bo3bo$24b2obob2o$25bo3bo$25b5o$27bo6bo$32b5o37bo$32bo3bo35b5o$31b2obob2o17b2o15bo3bo5bo$32bo3bo18bo15b2obob2o2bo$32b5o
18b2o15bo3bo3b2o20bo$34bo37b5o$74bo$o26bo72bo26bo$2bo4bo6b2o9b5o68b5o
9b2o6bo4bo$b2o12bo9bo3bo15b2o34b2o15bo3bo9bo12b2o$7bo6b2o8b2obob2o13b
2obo32bob2o13b2obob2o8b2o6bo$25bo3bo15b2o34b2o15bo3bo$25b5o68b5o$27bo 72bo3$29bo68bo!
Could probably squeeze it another row at the expense of convoluted timing.
More guns:
P37 (A member of the p41+4N family):

Code: Select all

x = 46, y = 46, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
45bo$43bo$43b2o4$43bo$43bo$43bo8$43bobo$43b3o10$7bo30bo$5b5o26b5o2b3o$
3bobo3bo26bo3bo2bobo$b2ob2obob2o8b2o4b2o8b2obob2o$2bo2bo3bo8bob2o2b2ob
o8bo3bobo$o4b5o9b2o4b2o9b5o$7bo30bo4$43bo$43bo$43bo4$43b2o$43bo$45bo!
P40 (p44+4N family with special stabilization):

Code: Select all

x = 34, y = 60, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
32bo$30bo$30b2o5$31bo$30b3o$31bo3$25bo$7bo15b5o$5b5o11bobo3bo$b2obo4bo 9b2ob2obob2o$2bobo2bob2o7bobo2bo3bo3b3o$o3bo4bo9b2o2b5o3bobo$5b5o15bo$7bo6$32bo$32bo$32bo5$32bo$32bo$32bo8$31bobo$31b3o7$31bo$30b3o$31bo5$30b2o$30bo$32bo! P43+4N (doesn't work at p39): Code: Select all x = 47, y = 46, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 46bo$44bo$44b2o5$44bo$44bo$44bo11$43b3o$43bobo3$43bobo$43b3o4$8bo10b2o 4b2o10bo6b2o$b2o4b3o9bo6bo9b3o4bob2o$2bo5bo10b2o4b2o10bo6b2o$o4$44bo$
44bo$44bo5$44b2o$44bo$46bo!
To increase the period by 4N move the left and top reflectors outward by 2N cells and move the respective glider pairs outward by N cells
p31 (oscillator):

Code: Select all

x = 13, y = 17, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo$7bo$6b2o4$6bo$o11bo$2bo3bo3bo$b2o7b2o$6bo2$10b2o$10bo$5b2o5bo$6bo$
4bo!
Related p40:

Code: Select all

x = 13, y = 17, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo$7bo$6b2o$bo4$o11bo$2bo3bo3bo$b2o7b2o$6bo2$6bo2$5b2o$6bo$4bo! Another p20: Code: Select all x = 13, y = 18, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 8bo$6bo$6b2o5$o5bo5bo$2bo7bo$b2o3bo3b2o6$6b2o$6bo$8bo! p16 siderakes: Code: Select all x = 8, y = 28, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e b2o$bo$b2o2$2bo$bo3b2o$2o3bo$b2o2b3o10$5b3o$5bo$5b2o$b2o$bo$b2o2$2bo$b o$2o$b2o! The top one is smaller but the bottom is probably easier for synthesis. EDIT 2: p16 c/2 ship: Code: Select all x = 11, y = 17, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e b2o$2o$bo$2bo6bo2$b2o3bo$bo7bo$b2o2$2b2o$2bo7bo$2b2o3bo2$3bo6bo$2bo$b 2o$2b2o!
"But if you close your eyes—does it almost feel like nothing's changed at all?
And if you close your eyes—does it almost feel like you've been here before..."

AforAmpere
Posts: 1198
Joined: July 1st, 2016, 3:58 pm

### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

This rule does not seem to have many speeds for ships. I did find this weird 2c/4, but nothing really interesting.

Code: Select all

x = 13, y = 22, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5b3o$5bobo$b3o5b3o$bobo5bobo$3bob3obo$6bo3$5b3o$2b3o3b3o$2bobo3bobo2$6bo$5b3o$2bo3bo3bo$b3o5b3o$o2bob3obo2bo$4bo3bo2$2bo3bo3bo$b3o5b3o$o2bo 5bo2bo! EDIT, ah, so close: Code: Select all x = 15, y = 178, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e$3bo7bo3$3bo7bo$3bo3bo3bo$3bo3bo3bo3$3bobo3bobo$2bo9bo$2bo9bo2$6b3o2$
7bo4$6bobo4$7bo$6b3o$6b3o$5b2ob2o$5bo3bo$5bo3bo2$7bo3$7bo$6b3o$7bo3$6b
3o2$7bo$5bo3bo$4bo2bo2bo3$7bo3$6b3o$6bobo$6b3o2$7bo3$7bo$7bo$7bo3$7bo
2$7bo$6b3o$5b5o$6b3o2$7bo4$6bobo4$7bo$6b3o$6b3o$5b2ob2o$5bo3bo$5bo3bo
2$7bo3$7bo$6b3o$7bo3$6b3o2$7bo$5bo3bo$4bo2bo2bo3$7bo3$6b3o$6bobo$6b3o
2$7bo3$7bo$7bo$7bo3$7bo2$7bo$6b3o$5b5o$6b3o2$7bo4$6bobo4$7bo$6b3o$6b3o
$5b2ob2o$5bo3bo$5bo3bo2$7bo3$7bo$6b3o$7bo3$6b3o2$7bo$5bo3bo$4bo2bo2bo 3$7bo3$6b3o$6bobo$6b3o2$7bo3$7bo$7bo$7bo3$7bo2$7bo$6b3o$5b5o$6b3o2$7bo 4$6bobo!
Wildmyron and I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule

83bismuth38
Posts: 487
Joined: March 2nd, 2017, 4:23 pm
Location: the center of the universe
Contact:

### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

some random oscillators i gathered- most low period, 5-6, some not:

Code: Select all

x = 13, y = 24, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o3bo$7bo3bo$2bo6bo$b3o4b3o$9bo2$7bo3bo2$o3bo$7bo3bo$5bo3bo$2bo$9bo2$12bo$2b3o5bo$3bo3$8b2o$9bo$2b2o3bo2bo$3bo3b3o$bo7bo!

Code: Select all

x = 7, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
bo3bo$3bo2$3bo2$o5bo2$3bo2$3bo$bo3bo!
also this still life is more realistic snowflake- they are stuck together, can;t be taken apart without large amount of glider:

Code: Select all

x = 11, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3bo$b5o$bo3bo$2obob2o$bo5bo$b3o3b3o$3bo5bo$4b2obob2o$5bo3bo$5b5o$7bo!
P32:

Code: Select all

x = 16, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e:T16,10
2$4bo8bo$3b3o6b3o$4bo8bo! p68: Code: Select all x = 16, y = 16, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 5bo$7bo$6b2o3$15bo$7b3o3bo$6b2ob2o2b2o$b2o3bo3bo$2bo3b2ob2o$o6b3o3$8b
2o$8bo$10bo!
P616:

Code: Select all

x = 41, y = 125, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
23bo$21bo$21b2o5$19b2o3b2o$20bobobo$20b5o$22bo10$21bobo$21b3o2$21bo$
19b5o$19bo3bo$18b2obob2o$19bo3bo$19b5o$14bo6bo$12b5o16bo$7b2o3bo3bo14b 5o$8bo2b2obob2o5b2o6bo3bo2b2o$6bo5bo3bo5b2obo4b2obob2obo$12b5o6b2o6bo
3bo4bo$14bo16b5o$33bo3$21bo$20bobo$20b3o$21bo5$21bo7$20bo$18b5o$18bo3b
o$17b2obob2o$18bo3bo$18b5o$20bo12$19bo16$8bo$6b5o$o5bo3bo4b2o9b3o$2bo 2b2obob2o2b2obo7b2ob2o4bo$b2o3bo3bo4b2o8bo3bo2bo$6b5o7b3o4b2ob2o2b2o$
8bo9bobo5b3o3$16b2o3b2o$17bo3bo$17b5o$19bo13$17b3o$16bo3bo$16bo3bo$15b
2obob2o$16bo3bo$16b5o$18bo3$18b2o$19bo$17bo!
extendable.

Code: Select all

x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo! No football of any dui mauris said that. 83bismuth38 Posts: 487 Joined: March 2nd, 2017, 4:23 pm Location: the center of the universe Contact: ### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e) p2 that's useless like every other p2 ever: Code: Select all x = 7, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 3bo2$b2ob2o$2bobo$o2bo2bo$3ob3o$2bobo2$3bo! Code: Select all x = 8, y = 10, rule = B3/S23 3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!
No football of any dui mauris said that.

toroidalet
Posts: 1232
Joined: August 7th, 2016, 1:48 pm
Location: My computer
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### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

I was a fool. The p43+4N guns do work at p39 (but I had to shift the duplicator):

Code: Select all

x = 44, y = 45, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
40bo$42bo$41b2o6$41bobo9$42bo$41b3o$41bobo$42bo3$42bo$41bobo$41b3o$42b o$7b3o24b3o$6b2ob2o5b2o8b2o5b2ob2o$b2o3bo3bo4b2obo6bob2o4bo3bo$2bo3b2o b2o5b2o8b2o5b2ob2o$o6b3o24b3o4$41bobo6$41b2o$42bo$40bo!
Unfortunately the reflectors don't work at p35.
In a similar vein, you can make p34 and p36 guns:

Code: Select all

x = 34, y = 71, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
32bo$30bo$30b2o4$31bo$31bo$31bo8$7bo17bo5bobo$5b5o13b5o3b3o$o3bo4bo9bo
b2o4bo$2bobo2bob2o11bo2bob2o$b2obo4bo12bo4bo$5b5o13b5o$7bo17bo2$31bo$
31bo$31bo5$30b2o$30bo$32bo5$33bo$31bo$31b2o4$31b3o$31bobo$31b3o6$8bo$
8b3o14bo5bobo$bo8bo12b5o3b3o$3bo6b2o7bob2o4bo$2b2o6bo11bo2bob2o$8b3o
11bo4bo$8bo14b5o$25bo2$31bo$30b3o$31bo5$30b2o$30bo$32bo!
smaller p34 gun:

Code: Select all

x = 17, y = 34, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
14bo$12bo$12b2o5$10b2o3b2o$11bobobo$11b2ob2o$13bo6$8bo$6b5o3bo$o5bo3bo 2b3o$2bo2b2obob2obobo$b2o3bo3bo3bo$6b5o$8bo3$10b2o3b2o$11bobobo$11b2ob
2o$13bo3$12b2o$12bo$14bo!
"But if you close your eyes—does it almost feel like nothing's changed at all?
And if you close your eyes—does it almost feel like you've been here before..."

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### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

A bunch of oscillators, periods 43, 41, 39, 76, 33, 16, and a bonus p2, if I'm remembering right:

Code: Select all

x = 145, y = 49, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
120bo3$115bo9bo$15bo101bo5bo$13bo81bo20b2o5b2o$13b2o20bo7bo25bo$37bo3b o25bo52bo$36b2o3b2o24b2o2$138bo$140bo$bo21bo4bo21bo4bo21bo4bo21bo4bo 10bo10bo7b2o$3bo17bo8bo17bo8bo17bo8bo17bo8bo17bo$2b2o17b2o6b2o17b2o6b 2o17b2o6b2o8bo8b2o6b2o5bo5bo5b2o9bo$o3bobo4bobo4bobo3bo2bo3bobo4bobo4b
obo3bo2bo3bobo4bobo4bobo3bo2bo3bo2bo9bo2bo3bo2bo7b3o3b3o7bo2bo3b2o3bo$2b2o17b2o6b2o17b2o6b2o17b2o6b2o8bo8b2o6b2o5bo5bo5b2o9bo$3bo17bo8bo17bo
8bo17bo8bo17bo8bo17bo$bo21bo4bo21bo4bo21bo4bo21bo4bo10bo10bo7b2o$140bo
$138bo2$36b2o3b2o24b2o$37bo3bo25bo52bo$13b2o20bo7bo25bo$13bo81bo20b2o 5b2o$15bo101bo5bo$115bo9bo3$120bo12$12bo$8bo3bo3bo$12bo$9bob3obo$12bo$
8bo3bo3bo$12bo! praosylen#5847 (Discord) x₁=ηx V*_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ Rhombic Posts: 1072 Joined: June 1st, 2013, 5:41 pm ### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e) It seems that interest has died off pretty soon. I still think this rule has great potential for engineered circuits. Are there any snowflake-pull reactions? SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI what is “sesame oil”? Naszvadi Posts: 757 Joined: May 7th, 2016, 8:53 am Contact: ### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e) Rhombic wrote:It seems that interest has died off pretty soon. I still think this rule has great potential for engineered circuits... Yes, despite the small and orthogonal p2 glider, its guns, eaters, stable reflectors and signal duplicators etc. it would be easy to construct complex patterns. Probably the audience are keeping in mind and in scope that there are even outer-totalistic Life-like rules without proofs for availability for arbitrary computations BlinkerSpawn Posts: 1979 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e) Naszvadi wrote:Probably the audience are keeping in mind and in scope that there are even outer-totalistic Life-like rules without proofs for availability for arbitrary computations The proofs of this are exactly the same as in Life and apply to all rules with guns and a clean annihilation reaction. What I think is going on is that we're finding so many rules with dynamics similar to this rule that the threshold for lasting interest keeps being pushed higher and higher. We build the oscillators, we construct the guns, we search for some ships, and we move on to the next challenge. LifeWiki: Like Wikipedia but with more spaceships. [citation needed] 2718281828 Posts: 738 Joined: August 8th, 2017, 5:38 pm ### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e) And interesting side-rake/puffers: Code: Select all x = 23, y = 14, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e$6bo9bo$4bobo4bo4bobo$4b3o4bo4b3o3$10b3o$10b3o$11bo$9bo3bo$7bobo3bobo$
7b3o3b3o!

Code: Select all

x = 8, y = 14, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3$2b3o$4bo$3b2o2$2b2o$3bo$2b2o2$3b2o$4bo$2b3o! 2718281828 Posts: 738 Joined: August 8th, 2017, 5:38 pm ### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e) I did some soup search on several symmetries, but most extensively on D4_+1 and got some nice results. Most importantly I found a new reflector (as part of an oscillator). Now we have 6 (of 2 general types) reflectors: Code: Select all x = 43, y = 101, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 8$26b2o$27bo$26b2o4$29bo$31bo$30b2o$28bo$35b2o$35bo$35b2o$28bo$30b2o$
31bo$29bo6$31b2o$31bo$30b2o$28bo$35b2o$35bo$35b2o$28bo$30b2o$31bo$31b
2o5$29bo$27b5o3b2o$27bo3bo3bo$23bo2b2obob2o2b2o$21b3o3bo3bo$21bo5b5o$29bo10$29bo$27b5o3b2o$21bo5bo3bo3bo$23bo2b2obob2o2b2o$22b2o3bo3bo$27b 5o$29bo8$29bo$27b5o$27bo3bo3b2o$23bo2b2obob2o2bo$21b3o3bo3bo3b2o$21bo
5b5o$29bo10$29bo$27b5o$21bo5bo3bo3b2o$23bo2b2obob2o2bo$22b2o3bo3bo3b2o
$27b5o$29bo!
Most importantly, the new reflector(s) reflect(s) the glider colour preserving.

Thus, this reflector allows many nice things. E.g. the p39+4N gun (above) can be made much smaller:

Code: Select all

x = 69, y = 114, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5$52b2o$53bo$53b2o3$54bo$52b5o$52bo3bo$51b2obob2o$54bo4$54bobo$54b3o
16$25b2o12b2o$16bo7bob2o10b2obo7bo$11bo13b2o12b2o$9b3o4bo32bo4b3o$9bo 44bobo4$54bo$51b2obob2o$52bo3bo$52b5o$54bo3$53b2o$53bo$52b2o3$52bo3bo$49bo9bo$51bo5bo$50b2o5b2o$31bo$33bo$32b2o$30bo$38b2o$37b2obo7bo$38b2o$30bo17bo4b3o$32b2o19bobo$33bo$31bo2$53bo$50b2obob2o$51bo3bo$51b5o$53bo 3$52b2o$52bo$54bo4$52bo3bo$49bo9bo$51bo5bo$50b2o5b2o2$30bo$32bo$31b2o$
29bo$38b2o$37b2obo7bo$38b2o$29bo18bo4b3o$31b2o20bobo$32bo$30bo2$53bo$50b2obob2o$51bo3bo$51b5o$53bo3$52b2o$52bo$54bo! But it also allows for small families of oscillators with adjustable an even period: Code: Select all x = 90, y = 34, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 5$5b2o2b2o12b2o3b2o20b2o4b2o14b2o6b2o$5bo4bo12bo5bo20bo6bo14bo8bo$4b2o
4b2o10b2o5b2o18b2o6b2o12b2o8b2o$2bo10bo6bo11bo14bo12bo8bo14bo$7b2o16b
2o22b2o6b2o13b2o6b2o$8bo17bo22bo8bo13bo8bo$7b2o16b2o22b2o6b2o13b2o6b2o
$2bo10bo6bo11bo14bo12bo8bo14bo$4b2o4b2o10b2o5b2o18b2o6b2o12b2o8b2o$5bo 4bo12bo5bo20bo6bo14bo8bo$5b2o2b2o12b2o3b2o20b2o4b2o14b2o6b2o3$4bo6bo 11bo7bo$6bo2bo15bo3bo$5b2o2b2o13b2o3b2o17bo10bo10bo12bo$3bo8bo9bo9bo
17bo6bo14bo8bo$8b2o17b2o20b2o6b2o12b2o8b2o$9bo18bo18bo12bo8bo14bo$8b2o 17b2o20b2o6b2o12b2o8b2o$3bo8bo9bo9bo16bo8bo12bo10bo$5b2o2b2o13b2o3b2o 18b2o6b2o12b2o8b2o$6bo2bo15bo3bo17bo12bo8bo14bo$4bo6bo11bo7bo17b2o6b2o 12b2o8b2o$50bo6bo14bo8bo$48bo10bo10bo12bo! So we have p12+4N oscillators (one glider version), such as p10+4N oscillators (two glider versions), as we have many known p2, p4, p6, p8 oscillators, we have oscillators for all even periods. However, combining it with the odd reflector (colour changing reflector), we get p37+4N oscillators (with 1 glider), and p35+4N oscillators (with 2 gliders): Code: Select all x = 101, y = 63, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 3$42bo32bo$40bo32bo$40b2o31b2o$27bo15bo15bo16bo$25b5o2b2o23b5o2b2o$19b o5bo3bo2bo18bo5bo3bo2bo$21bo2b2obob2ob2o19bo2b2obob2ob2o$20b2o3bo3bo 13bo8b2o3bo3bo14bo$25b5o10b2o15b5o11b2o$27bo12bo18bo13bo$42bo32bo4$41b o$39bo34bo$27bo11b2o31bo$25b5o12bo16bo12b2o$19bo5bo3bo3b2o22b5o13bo$
21bo2b2obob2o2bo17bo5bo3bo3b2o$20b2o3bo3bo3b2o18bo2b2obob2o2bo$25b5o
12bo9b2o3bo3bo3b2o$27bo11b2o16b5o13bo$39bo19bo12b2o$41bo30bo$74bo5$7bo 39bo6bo41bo$9bo17bo17bo10bo18bo18bo$8b2o35b2o8b2o37b2o$6bo15bo9bo15bo
4bo16bo9bo16bo$15b2o3b5o2bo2b5o3b2o23b2o3b5o2bo2b5o3b2o$16bo3bo3bo5bo
3bo3bo25bo3bo3bo5bo3bo3bo$15b2o2b2obob2o3b2obob2o2b2o23b2o2b2obob2o3b 2obob2o2b2o$6bo13bo3bo5bo3bo13bo4bo14bo3bo5bo3bo14bo$8b2o10b5o2bo2b5o 10b2o8b2o11b5o2bo2b5o11b2o$9bo12bo9bo12bo10bo13bo9bo13bo$7bo39bo6bo41b o$27bo47bo5$8bo18bo18bo8bo19bo19bo$10bo33bo12bo35bo$9b2o11bo9bo11b2o 10b2o12bo9bo12b2o$7bo12b5o2bo2b5o12bo6bo13b5o2bo2b5o13bo$15b2o3bo3bo5b o3bo3b2o23b2o3bo3bo5bo3bo3b2o$16bo2b2obob2o3b2obob2o2bo25bo2b2obob2o3b
2obob2o2bo$15b2o3bo3bo5bo3bo3b2o23b2o3bo3bo5bo3bo3b2o$7bo12b5o2bo2b5o
12bo6bo13b5o2bo2b5o13bo$9b2o11bo9bo11b2o10b2o12bo9bo12b2o$10bo33bo12bo
35bo$8bo18bo18bo8bo19bo19bo! Thus, we have oscillators for all odd periods larger than 33 and all larger periods oscillators are known. For small periods, we know oscillators for all periods (smallest known example listed until p50): Code: Select all x = 179, y = 222, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 2$100bo$102bo3bo$66bo8bo25b2o26bo19bo19bo$64b3o6bo25bo13bo17bo35bo$64b
o8b2o33bo21b2o35b2o$39bo27bo37bob2o19bo20bo20bo$33b2o3b3o3b2o62bo28b2o
6bo7bo6b2o$10bo23bo4bo4bo22bo31bo13bo23bo23bo$32bo13bo17bo8b2o26b2o34b
2o6bo7bo6b2o$64b3o6bo28bo3bo21bo20bo20bo$66bo8bo24bo29b2o35b2o$131bo 35bo$129bo19bo19bo10$68b2o29bo11bo$68bo2bo29bo7bo26bo26bo$67b2ob2o28b 2o7b2o27bo22bo$11bo23bo7bo28bo25bo13bo24b2o22b2o$9b3o27bo67b2o26bo28bo$9bo26bo2bo23bo3bo4bo2bo32bo39bo2bo$11bo27bo67b2o$10b2o23bo7bo28bo25bo
13bo35bo2bo$67b2ob2o28b2o7b2o24bo28bo$68bo2bo29bo7bo27b2o22b2o$68b2o 29bo11bo26bo22bo$136bo26bo10$37bo3bo59bo7bo52bo$34bo4bo4bo58bo3bo52bo$36bo5bo31bo25bo9bo49b2o$35b2o2bo2b2o30b3o28bo57bo$5bo4b2o52bo11bo18bo 19bo41b2o$7bo2bo22bo5bo5bo27bo31bo31bo7bo11bo$6b2o4bo22bo7bo22bo37b3o 32bo17b2o$10b3o21b2o7b2o28bo31bo32b2o5bo17bo$10bo28bo24bo11bo18bo19bo 44b2o$37bo3bo32b3o28bo54bo$74bo25bo9bo51bo$103bo3bo$101bo7bo13$37bo29b
o3bo75bo3bo$13bo25bo99bo19bo$11bo26b2o97bo23bo$9bob2o21bo8bo16bo8bo8bo 53bo33bo$40bo58b2o4bo5b2o36bo$35bo30bobobobo27bo10bo23bobo23bobo$7b2ob
o29bo57bo6bo7bo35bo$8bo25bo8bo16bo8bo8bo53bo33bo$6bo31b2o97bo23bo$39bo 99bo19bo$37bo29bo3bo75bo3bo11$30b2o12bo$30bo13b3o$29b2o15bo56bo3bo$33b
o116bo$7bo3bo27bobobo56bo9bo41bo$9bo23bo40bo76b2o$4bo9bo49bo34bo2bo5bo 2bo33bo$6bo5bo20bo37bobo76bo$5b2o2bo2b2o51bo30bo5bo5bo5bo$74bo75bo$9bo 32bo23b2o31bo2bo5bo2bo33bo10bo$67bo83b2o$42bo22bo34bo9bo41bo$9bo22bobo
bo113bo$7bo3bo30bo60bo3bo$29bo15b2o$29b3o13bo$31bo12b2o10$101bo12bo36b o3bo$35bo31b2o34bo8bo34bo11bo$37bo29bo2bo31b2o8b2o35bo7bo$11bo24b2o31b
2o29bo14bo32b2o7b2o$6bo56bo46b2o41bo$12bo23bo74bo$7bobo22bo3b2o3bo22bo bo7bo35b2o36b2o3bo3b2o$36bo63bo14bo33bo7bo$6bo56bo38b2o8b2o33bo5bo5bo$
36b2o31b2o32bo8bo38bo3bo$37bo29bo2bo30bo12bo$35bo31b2o9$71bo$69bo$64bo 4b2o16bo18bo18bo41bo$66bo22bo33bo41bo$36bo28b2o6bo14b2o33b2o40b2o$38bo
47bo19bo19bo41bo$37b2o28bobobo22b2o6bo7bo6b2o44bo2bo$33bo60bo23bo22bo
7bo17bo$5bo5bo53b2o6bo20b2o6bo7bo6b2o24bo19bo2bo$36bobo2bo24bo19bo19bo
19bo15b2o5bo18bo$3bo8bo51bo4b2o17b2o33b2o40b2o$6bobobo22bo35bo19bo33bo
41bo$37b2o32bo15bo18bo18bo41bo$38bo$36bo9$107bo$63bo10bo34bo$65bo6bo
38b2o33bo15bo$64b2o6b2o38bo35bo11bo$8bo53bo12bo36b3o32b2o11b2o$6bo26bo 6bo29b2o31bo10bo30bo17bo$6b2o3bo59bo86b2o$34bobobo31b2o32bo5bobo46bo$
9bo2bo49bo12bo82b2o$33bo6bo23b2o6b2o29bo10bo30bo17bo$9bo55bo6bo39b3o
32b2o11b2o$63bo10bo37bo35bo11bo$111b2o33bo15bo$109bo$107bo6$68bo3bo$
70bo2$68bo3bo2$7bo3b2o47bo19bo37bo11bo21bo21bo$9bo2bo19bo29bo15bo37bo 15bo39bo$8b3ob2o20bo6bo19b2o15b2o36b2o13b2o39b2o$33b2o6bo2bo74bo9bo22b o22bo$12bo28bo23bobobobobobo36b2o26b2o6bo7bo6b2o$45bo48bo7bo9bo27bo23b o$61b2o15b2o16bo15b2o26b2o6bo7bo6b2o$62bo15bo16b2o5bo16bo9bo22bo22bo$
60bo19bo35b2o13b2o39b2o$116bo15bo39bo$68bo3bo45bo11bo21bo21bo2$70bo$
68bo3bo7$136bo30bo$105bo3bo28bo26bo$66bo31bo17bo20b2o26b2o$10bo57bo27b
o21bo16bo32bo$8b3o25bo30b2o22bo15bo15bo26bo2bo$8bo54bo12bo30bo$42bo51b obo21bobo29bo2bo$31bo32bo3bo4bobo31bo27bo32bo$9bo2bo20bobobobo51bo15bo 15bo13b2o26b2o$8b3o21b2o29bo12bo19bo21bo19bo26bo$67b2o29bo17bo19bo30bo$68bo36bo3bo$7bo3bo54bo! Moreover, some other discoveries, a small direct p61, p45, p36 and two p19 guns (all not adjustable, the 10 cell gun was already known): Code: Select all x = 25, y = 97, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 3$14bo$16bo$12bo2b2o$10b3o$10bo$13bo2$13bo$10bo$10b3o$12bo2b2o$16bo$14bo5$13b2o$10bo3bo$12bob2o$11b2o$7bo2$8bobo6bo2$7bo$11b2o$12bob2o$10b o3bo$13b2o5$15b2o$13bo2bo$13b2ob2o$7bo7bo2$11bobo2$7bo7bo$13b2ob2o$13b
o2bo$15b2o7$17bo$14bo2$15bo2$15bo2$11bo3bo4$11bo3bo2$15bo2$15bo2$14bo$17bo5$15b2o$15bo2bo$17b2o3$10bobobo2$9bo2$16bo5$10bobo$10b3o! EDIT1: Another colour changing reflector with just 8 cells (see top): Code: Select all x = 20, y = 110, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 2$11bo$9bo$4bo$14b2o$7bo2bo3bo$14b2o$4bo$9bo$11bo7$5b2o$6bo$5b2o4$8bo$10bo$9b2o$7bo$14b2o$14bo$14b2o$7bo$9b2o$10bo$8bo6$10b2o$10bo$9b2o$7bo$14b2o$14bo$14b2o$7bo$9b2o$10bo$10b2o5$8bo$6b5o3b2o$6bo3bo3bo$2bo2b2obo b2o2b2o$3o3bo3bo$o5b5o$8bo10$8bo$6b5o3b2o$o5bo3bo3bo$2bo2b2obob2o2b2o$b2o3bo3bo$6b5o$8bo8$8bo$6b5o$6bo3bo3b2o$2bo2b2obob2o2bo$3o3bo3bo3b2o$o 5b5o$8bo10$8bo$6b5o$o5bo3bo3b2o$2bo2b2obob2o2bo$b2o3bo3bo3b2o$6b5o$8bo! This allows now for ridiculously small oscillators of period p29+4N (2gliders shuttle, with population 14!) and p31+4N (1 glider shuttle): Code: Select all x = 68, y = 37, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 4$21bo21bo$15bo3bo16bo4bo$19b2o20b2o$8bo13bo6bo14bo2$9bobo4bo13bobo4bo
2$8bo13bo6bo14bo$19b2o20b2o$15bo3bo16bo4bo$21bo21bo11$11bo8bo26bo10bo 2$4bo22bo12bo24bo2$5bobo4bo6bo4bobo14bobo4bo8bo4bobo2$4bo22bo12bo24bo
2$11bo8bo26bo10bo! So some of the minimal oscillators above, have a smaller version. Also some guns can be made smaller using this technology. EDIT1.2: The complete list of known 180° G reflectors: Code: Select all x = 32, y = 98, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 6$17b2o$18bo$17b2o4$21bo$19b5o$19bo3bo$18b2obo$19bo$17bo7b2o$17b3o5bo$
19bo5b2o$19b2o4$19bo$21bo$20b2o$18bo$25b2o$25bo$25b2o$18bo$20b2o$21bo$
19bo5$20bo$16bo5bo$14b3o4b2o$14bo$25b2o$16bo8bo$25b2o$14bo$14b3o4b2o$
16bo5bo$20bo7$22bo$20bo$15bo$25b2o$18bo2bo3bo$25b2o$15bo$20bo$22bo8$19bo$17b5o$11bo5bo3bo3b2o$13bo2b2obob2o2bo$12b2o3bo3bo3b2o$17b5o$19bo 7$19bo$17b5o3b2o$11bo5bo3bo3bo$13bo2b2obob2o2b2o$12b2o3bo3bo$17b5o$19b
o!
The upper one is p2, the other ones are stable. The p2 is very fast, the turning reaction requires only 4 ticks, so it allows for a p8 glider shuttle:

Code: Select all

x = 12, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4bo$2b5o$2bo3bo$b2obo$2bo5b2o$o5bo2bo$3o6b3o$2bo3bo4bo$2b2o5bo$7bob2o$
5bo3bo$5b5o$7bo!

EDIT2:
As mentioned by danny for the synthesis of the 12 glider 2c/19 spaceship, it seems that synthesis of still lifes is hard, as no still life (except 1 single cell) can be created by two gliders.

However, I gathered a few synthesis of objects:

Code: Select all

x = 147, y = 219, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8$31bo$30bobo$30b3o$31bo6b2o29b2o$37b2obo27b2obo$19b2o17b2o29b2o$20bo$
19b2o$30b3o24b3o21b2o3b2o$30bobo24bobo21bo4bo$59bo23bo2b2o14$88b2o3bo$87bob2o$88b2o$16bobo54b2o5b2o11bo2b2o$16b3o39bobo13bo5bo15bo$40b2o16b 3o12b2o5b2o14b2o$33b2o5bo52bo$32bob2o4b2o$33b2o61bo$19bo39bo20bo11b2o$
18b3o70bob2o$18bobo14bo56b2o3bo$19bo34b2o25bo$37bo17bo3bo38bo$54b2o26b
o$61bo2$98bo$97b3o$97bobo$98bo2$25b2o$18b2o4b2obo$19bo5b2o$18b2o10$21b
o$20bobo$20b3o$21bo2$38b2o5b2o$39bo4b2obo11b2o$38b2o5b2o13bo7b2o$23b2o 34b2o8bo$16b2o4b2obo42b2o5b2o4b2o$17bo5b2o49b2obo3bo$16b2o22bo34b2o4b
2o$39b3o$39bobo$40bo8$39bo$17b2o18bobo$18bo18b3o$17b2o36bobo$25b3o27b
3o$25bo15bo$25b2o3$52bobo$52b3o4$18b2o34bo$19bo32b5o$18b2o32bo3bo$24bo
26b2obo$22bo29bo$22b2o28b2o6$26bobo$26b3o4$40b2o$41bo5bo$40b2o$23b2o3b
2o$24bo2b2obo6b2o5bo$23b2o3b2o8bo$37b2o2$51bo$47b2o$24bo23bo$22bo23bo$
22b2o22b2o4$102bobo$102b3o3$99bobo$99b3o3$13bobo$13b3o$59bobo35bo$59b
3o20b2o5b2o$26bo2bo2bo17bo2bo2bo10bo2bo2bo3bo4bo6bo16bo$82b2o5b2o$98b 2o25b2o$13b3o37bo16bo28bo26bo$13bobo35b5o12b5o3bo20b5o9b2o11b5o$20b2o
29bo3bo2b3o7bo3bo24bo3bo8bob2o10bo3bo$21bo7b2o19b2obo4bobo6b2obo25b2ob o11b2o5b2o3b2obo$20b2o8bo20bo16bo28bo21bo4bo$29b2o5b2o4b2o7b2o15b2o27b 2o19b2o4b2o$35b2obo3bo$36b2o4b2o2$117bobo$117b3o3$114bobo$114b3o3$13bo
bo$13b3o$60bobo49bo$60b3o23b2o5b2o5b2o$31bo2bo2bo12bo2bo2bo15bo2bo2bo
4bo2bo6bo6bo20bo$86b2o5b2o5b2o$113b2o$13b3o37bo21bo13b2o23bo$13bobo35b
5o17b5o4bo6bo22b5o$42b2o7bo3bo3b3o11bo3bo11b2o21bo3bo$33b2o7bo10bob2o
2bobo13bob2o35bob2o$33bo8b2o11bo21bo38bo$20b2o4b2o5b2o19b2o20b2o37b2o$21bo3bob2o$20b2o4b2o13$125b2o$66bobo57bo$66b3o56b2o2$130bo$15bobo$15b
3o$31bo20bo14bo32bo$118b2o$25bobo91bo2bo7b2o$25b3o15b2o26b2o45b2o10bo$30bo13bo2bo3bo11bo2bo3b2obo16b2o4b2o3b2o20bo4b3ob2o$14b3o26b2o26b2o18b
o5bo2b2obo24bo3bo$14bobo73b2o4b2o3b2o19bo7b3o$61bo68bo$46bo$24b3o94b3o
$24bobo94bobo2$45b3o$45bobo! We have 4 gliders for the p4 spaceship (the R) and 12 gliders for the c/6 (p12) diagonal spaceship. 3 gliders for a snowflake and a 1/2-snowflake which is optimal. 4 gliders for the 3/4 snowflake, 5 gliders (1G+1R) for the 4 cell eater, 6 gliders for the 5 cell eater (the Z) and 10 gliders for the carrier. 12 gliders for the 'extended' 3/4 snowflake, and 14 for the 7-bit still life (the W heptomino). 8 gliders for the second most common 7bit still life (point symmetric 4-bit still life). And 8 gliders for a quite complex still life: two stacked W. Everything which requires more than 3 gliders might be improved. EDIT3: A clean p12 R-rake and a p24 c/2 ship (with a relative large spark, based on a p12 Z-puffer): Code: Select all x = 60, y = 80, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 15$24bo$23b3o2bo$22bo2bob3o$27bobo$28bo$30b3o$27bo2bobo$32bo$26bo$25b 3o$26bo5$30b3o$32bo$24bo6b2o2$19b3o$19bobo5b3o$19bo7bobo$29bo19$47bo$6bo16b3o3bo11b3o2b3o$5b3o2b3o10bobo2b3o10bobobo2bo$5bo2bobobo12bo2bobo$29bo2b3o$32bobo11b3o$5b3o20bo5bo8bo2bobo$5bobo2bo16b3o18bo$5bo22bo11b
2o$12b2o26bo$13bo26b2o$12b2o12b2o$26bo9b2o$16b2o7b2o9bo$17bo18b2o$16b 2o$32b2o$20b2o4b2o4bo$21bo4bo5b2o$20b2o3b2o$28b2o$28bo$28b2o!
and a p2 wickstretcher, laying 1/2-snowflakes close to each other so that they become p2 oscillating:

Code: Select all

x = 46, y = 14, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3$3b2o$4bo$3b2o$10b2o$11bo$5bobo2b2o2$11b2o$12bo$10b3o! Some O(n/log(n)) growth: Code: Select all x = 23, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 2bo$bo$2o19bo$b2o16bo$19b2o$22bo$b2o2bobo3b2o$bo10bo$b2o8b2o$6bo15bo$5bo13b2o$4b2o13bo$5b2o14bo! a quadratic growth pattern: Code: Select all x = 59, y = 62, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 30bo$24b3o2b3o$24bobo2bo2bo2$21bo$20b3o$20bo2bo$44bo$46bo$45b2o5$42b2o
3b2o$43bobobo$43b5o$45bo$31b3o$31bobo16b3o$41b2o6b2ob2o2b2o$41bo7bo3bo 2bo$41b2o6b2ob2o4bo$50b3o2$43b3o$19bo11b3o9bobo$18b3o9b2ob2o$18bobo9bo 3bo$19bo10b2ob2o$31b3o2$42b2o3b2o$32b2o9bobobo$33bo9b5o$31bo13bo3$45b
2o$46bo$44bo3$19bo$18b3o$8bo9bobo5bo$6b3o5b2o3bo4b3o$o5bo6bob2o7bo8bo$
2bo2bobo6b2o7bobo5bo$b2o3bo17bo6b2o$6b3o15b3o$8bo10bo6bo$17b5o$17bo3bo$16b2obob2o$17bo3bo$17b5o$19bo2$19b2o$20bo$18bo!
and a natural (C4_4 soup) O(sqrt(n)) pattern with 28 cells:

Code: Select all

x = 42, y = 42, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
32bo$28bo2$28bo3$26bo$28bo2$o4$bobo3bo4bobo12bobo2$6bo11$35bo2$12bobo 12bobo4bo3bobo4$41bo2$13bo$15bo3$13bo2$13bo$9bo! EDIT4: A G to 2G signal converter (a splitter), unfortunately not a stable one, only a p191: Code: Select all x = 81, y = 97, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 71bo$69b5o$69bo3bo$64b2o2b2obob2o$65bo3bo3bo$63bo5b5o$71bo2$8bo$6b5o$
6bo3bo$b2o2b2obob2o$2bo3bo3bo$o5b5o$8bo3$38bo3bo3$22b2o16bo$23bo$23b2o
12bo5bo$40bo$36bo7bo$24bo$22b5o$22bo3bo$21b2obob2o$22bo3bo$22b5o$24bo 14bobo$39b3o$18b2o$17bob2o$18b2o6$57bo$55b5o6bo3bo$55bo3bo3bo9bo$54b2o bob2o2b3o5bo$55bo3bo5bo5b2o$55b5o$14bo42bo$12b5o$12bo3bo$11b2obob2o13b o$12bo3bo12bo$12b5o2b2o8b2o$14bo5bo$18bo4bo2$14b2o$14bo4b2o$16bo3bo$18bo$23b2o$24bo6bo$22bo6b5o$29bo3bo$24b2o2b2obob2o$25bo3bo3bo$23bo5b5o
$31bo19bo$36b2o5b2o4b5o$37bo5bo5bo3bo$35bo9bo2b2obob2o$38bo3bo6bo3bo$
49b5o$51bo2$59bo$51b2o4b5o$51bo5bo3bo$50b4o2b2obob2o$53bo3bo3bo$51bo5b 5o$59bo17bo$75b5o$75bo3bo$68bo5b2obob2o$67b3o5bo3bo$67bobo5b5o$68bo8bo
2$64bo7bo$68bo8b2o$65bo5bo5bo$79bo$68bo3$66bo3bo!
However, signal converter with other (larger) periods are possible. For a stable G to 2G we require at least either a stable 90° R reflector, or a stable R to G converter.
Last edited by 2718281828 on February 7th, 2018, 2:22 pm, edited 5 times in total.

Rhombic
Posts: 1072
Joined: June 1st, 2013, 5:41 pm

### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Spaceship in a super-close Snowflakes relative:

Code: Select all

x = 17, y = 117, rule = B2ci3ai4ckry5ejk6ik78/S02ae3-cnry4cijqz5-ny6ik7
14bo$11bob2o$10b4o$11b3ob2o$10b3ob2o$12bo3bo22$5b2o$6bo$5b2o4$8bo$10bo
$9b2o$7bo$14b2o$14bo$14b2o$7bo$9b2o$10bo$8bo6$10b2o$10bo$9b2o$7bo$14b
2o$14bo$14b2o$7bo$9b2o$10bo$10b2o5$8bo$6b5o3b2o$6bo3bo3bo$2bo2b2obob2o
2b2o$3o3bo3bo$o5b5o$8bo10$8bo$6b5o3b2o$o5bo3bo3bo$2bo2b2obob2o2b2o$b2o
3bo3bo$6b5o$8bo8$8bo$6b5o$6bo3bo3b2o$2bo2b2obob2o2bo$3o3bo3bo3b2o$o5b
5o$8bo10$8bo$6b5o$o5bo3bo3b2o$2bo2b2obob2o2bo$b2o3bo3bo3b2o$6b5o$8bo!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

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

### Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

I found a relatively simple 90° R to G reflector:

Code: Select all

x = 48, y = 23, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4$36bo$b2o16b3o12b5o$2b2o17bo12bo3bo$2bo17b2o11b2obob2o2b2o$bo32bo3bo 3bo$34b5o5bo$30bo5bo$28b5o$28bo3bo$27b2obob2o$28bo3bo$28b5o$30bo3$30b
2o$30bo$32bo!
with repeat time 37. This allows now the construction of stable G to 2G duplicators and splitters (also G to R+G, G to 2R, R to 2G, R to G+R, R to 2R) as we have stable G to R converters.

The most simple duplicator is:

Code: Select all

x = 38, y = 51, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$4b2o$5bo$5b2o3$6bo$4b5o$4bo3bo$3b2obob2o$4bo3bo$4b5o$6bo2$3b2o$2bob2o
$3b2o2$24bo$22b5o$22bo3bo$21b2obob2o2b2o$22bo3bo3bo$22b5o5bo$24bo$13bo$11bo$b2o8b2o$2bo$o4bo18bo$22b5o$22bo3bo$b2o18b2obob2o2b2o$2bo19bo3bo 3bo$o21b5o5bo$5b2o11bo5bo$6bo9b5o$4bo11bo3bo$15b2obob2o$16bo3bo$16b5o$18bo3$18b2o$18bo$20bo!
The most simple G to 2G splitter I found so far is:

Code: Select all

x = 154, y = 259, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$32bo$34bo$33b2o3$34bo$32b5o$32bo3bo$31b2obob2o$32bo3bo$32b5o$28bo5bo$20bo5b5o$22bo3bo3bo$21b2o2b2obob2o$26bo3bo$26b5o$17bo4bo5bo$19bo4bo$
18b2o3b2o$56bo$54b5o20b2o$15b2o5bo31bo3bo3b2o16bo$16bo36b2obob2o2bo17b
2o$14bo39bo3bo5bo$54b5o$56bo24bo$27b2o50b5o$24b2obo51bo3bo$24bo4bo13bo
34b2obob2o$26bo14b5o33bo3bo$41bo3bo33b5o$29bo10b2obob2o18bo15bo$26bo4b
o9bo3bo17b5o$28bob2o9b5o17bo3bo$27b2o14bo15bo2b2obob2o$13bo43b3o3bo3bo$11b5o41bo5b5o$11bo3bo27b2o20bo$6b2o2b2obob2o22bo4bo$7bo3bo3bo17bo5b3o 2b2o$5bo5b5o25bo$13bo5bo$17b5o9b2o3b2o$17bo3bo9bo4bo$16b2obob2o10bo4bo
$17bo3bo$17b5o$19bo3$18b2o$19bo$17bo7$143bo$141b5o$141bo3bo$140b2obob
2o2b2o$141bo3bo3bo$141b5o5bo$50bo92bo$48b5o35bo$48bo3bo33bo$47b2obob2o
22b2o8b2o$48bo3bo24bo$48b5o22bo4bo62bo$50bo90b5o$141bo3bo$76b2o62b2obo b2o2b2o$49b2o26bo63bo3bo3bo$50bo24bo65b5o5bo$48bo22bo8b2o55bo5bo$70b3o 8bo53b5o$70bobo6bo55bo3bo$71bo62b2obob2o$135bo3bo$135b5o$137bo3$137b2o$137bo$139bo166$71bo$70b3o$70bobo$71bo! with a repeat time of 354. This 90° R to G reflector in combination with the standard 90° G to G snowflake-reflectors and the 90° R to G converter can be used to construct any colour changing 90° reflector (the actual ones are colour preserving - this is also the reason the large repeat time of the splitter). However, now the rule has lots of nice things: - all stable colour changing 90° and 180° R and G reflectors, - G and R guns of larger periods (G 33>=, R 40>=, also some smaller periods) and pseudo guns should be constructable for periods p>=21: Code: Select all x = 98, y = 61, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 2$47bobo$47b3o20$47bobo$47b3o20$47bobo$47b3o2$70b2o19b2o$70bo20bo$70b
2o19b2o2$9b2o18b3o33b3o18b2o$b2o7bo11b2o7bo33bo20bo$2bo5b3o12bo6b2o33b 2o19b3o$b2o19b2o!
- oscillators of all periods
- synthesis for all important natural still lifes and spaceships
- simple push reaction (for the single point and the snowflake), using splitters we might be able to construct pulls reaction as well.

EDIT1: The 90° reflector collection (G/R to G/R) with all possible colour changes:

Code: Select all

x = 598, y = 145, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6$5b2o93b2o108b2o211b2o$6bo94bo109bo212bo$5b2o93b2o108b2o211b2o3$14bo$12bo87b2o108b2o211b2o$12b2o87bo109bo212bo$99b3o107b3o210b3o2$12bo$10b 5o$10bo3bo97bo33bo74bo4bo20bo4bo35bo4bo52bo4bo83bo33bo51bo53bo$9b2obob 2o19bo4bo69bo33bo74bo4bo20bo4bo35bo4bo52bo4bo83bo33bo51bo53bo$10bo3bo
18bo4bo71b2o32b2o73b2o3b2o19b2o3b2o34b2o3b2o51b2o3b2o82b2o32b2o50b2o
52b2o$10b5o18b2o3b2o$12bo$43bo66bo33bo65b2o9bo5b2o7b2o9bo5b2o22b2o9bo 5b2o39b2o9bo5b2o79bo33bo51bo53bo$5b2o17b2o9bo5b3o64b5o29b5o64bo15bo9bo
15bo24bo15bo41bo15bo78b5o29b5o47b5o49b5o$6bo18bo15bo3bo62bo3bo29bo3bo 63b2o17bo6b2o17bo21b2o17bo38b2o17bo76bo3bo29bo3bo47bo3bo49bo3bo$5b2o
17b2o18b2o61b2obob2o27b2obob2o282b2obob2o27b2obob2o45b2obob2o47b2obob
2o$108bo3bo29bo3bo284bo3bo29bo3bo47bo3bo49bo3bo$108b5o29b5o68b2o24b2o
39b2o56b2o89b5o29b5o47b5o49b5o$29b2o14bo64bo5bo27bo5bo65bob2o22bob2o 37bob2o54bob2o88bo5bo27bo5bo45bo5bo47bo5bo$30bob2o9b5o66b5o5bo23b5o61b
o4bo20bo4bo35bo4bo52bo4bo92b5o5bo23b5o5bo41b5o5bo43b5o5bo$28bo4bo9bo3b o66bo3bo3bo25bo3bo3bo60bo25bo17bo4bo17bo17bo4bo34bo17bo4bo71bo3bo3bo 25bo3bo3bo43bo3bo3bo45bo3bo3bo$31bo10b2obob2o51b2o11b2obob2o2b2o10b2o
11b2obob2o2b3o100bo4bo35bo4bo52bo4bo59b2o11b2obob2o2b2o10b2o11b2obob2o
2b2o28b2o11b2obob2o2b2o30b2o11b2obob2o2b2o$43bo3bo53bo12bo3bo16bo12bo 3bo5bobo98b2o3b2o34b2o3b2o51b2o3b2o59bo12bo3bo16bo12bo3bo34bo12bo3bo 36bo12bo3bo$43b5o51b3o12b5o14b3o12b5o4b2o83bo40bo57bo80b3o12b5o14b3o
12b5o32b3o12b5o34b3o12b5o$30bo14bo70bo33bo89b5o36b5o53b5o95bo33bo51bo 53bo5bo4bo$28b5o207bo3bo16bo5b2o12bo3bo16bo5b2o29bo3bo16bo5b2o215bo4bo
$28bo3bo124bo77b2o2b2obob2o21bo8b2o2b2obob2o21bo25b2o2b2obob2o21bo61b 2o32b2o50b2o67b2o3b2o$23b2o2b2obob2o116bo4b5o76bo3bo3bo24bo7bo3bo3bo
24bo24bo3bo3bo24bo60bo33bo51bo51bo$24bo3bo3bo115bo6bo3bo74bo5b5o30bo5b 5o47bo5b5o83bo33bo51bo45bo5b5o$22bo5b5o115b2o4b2obob2o81bo5bo34bo5bo
51bo5bo79b2o10bo21b2o10bo39b2o10bo35bo3bo3bo15bo5b2o$30bo5bo114bo3bo3b o86b5o4b2o30b5o4b2o47b5o4b2o72bo8bo24bo8bo42bo8bo36b2o2b2obob2o20bo$
34b5o110bo5b5o86bo3bo5bob2o27bo3bo5bob2o44bo3bo5bob2o67bo10b2o21bo10b
2o39bo10b2o40bo3bo23bo$34bo3bo100b2o8b2o6bo5bo81b2obob2o2bo4bo26b2obob 2o2bo4bo43b2obob2o2bo4bo73bo33bo51bo46b5o$33b2obob2o100bo20b5o5bo74bo
3bo6bo29bo3bo6bo17bo4bo23bo3bo6bo17bo4bo48bo33bo51bo52bo$34bo3bo99bo4b o17bo3bo3bo76b5o36b5o22bo4bo25b5o22bo4bo52bo33bo15bo4bo30bo15bo4bo41b 2o$34b5o121b2obob2o2b2o77bo40bo24b2o3b2o26bo24b2o3b2o50b2o32b2o13bo4bo
31b2o13bo4bo44bob2o$36bo124bo3bo131bo57bo122b2o3b2o45b2o3b2o41bo4bo$
139b2o20b5o129b5o53b5o103bo51bo67bo$140bo22bo83b2o39b2o5bo3bo16bo5b2o 22b2o5bo3bo16bo5b2o77b5o47b5o$35b2o101bo109bo40bobo2b2obob2o21bo24bobo
2b2obob2o21bo72bo5bo3bo16bo5b2o17bo5bo3bo16bo5b2o$36bo106b2o101bo42b3o 3bo3bo24bo22b3o3bo3bo24bo72bo2b2obob2o21bo20bo2b2obob2o21bo$34bo108bo
151b5o53b5o96b2o3bo3bo24bo17b2o3bo3bo24bo$145bo144bo6bo5bo44bo6bo5bo 97b5o47b5o$301b5o4b2o47b5o4b2o91bo5bo45bo5bo$301bo3bo5bob2o44bo3bo5bob 2o92b5o4b2o41b5o4b2o$300b2obob2o2bo4bo43b2obob2o2bo4bo92bo3bo5bob2o38b
o3bo5bob2o$301bo3bo6bo46bo3bo6bo17bo4bo70b2obob2o2bo4bo37b2obob2o2bo4b o$301b5o53b5o22bo4bo73bo3bo6bo40bo3bo6bo17bo4bo$303bo57bo24b2o3b2o72b 5o47b5o22bo4bo$369bo97bo51bo24b2o3b2o$367b5o155bo$302b2o56b2o5bo3bo16b
o5b2o129b5o$303bo57bobo2b2obob2o21bo71b2o50b2o5bo3bo16bo5b2o$301bo59b
3o3bo3bo24bo70bo51bo4b2obob2o21bo$367b5o93bo51bo3bo3bo3bo24bo$362bo6bo
5bo144b2o3b5o$373b5o4b2o143bo5bo$373bo3bo5bob2o144b5o4b2o$372b2obob2o 2bo4bo144bo3bo5bob2o$373bo3bo6bo145b2obob2o2bo4bo$373b5o153bo3bo6bo$
375bo155b5o$533bo2$374b2o$375bo156b2o$373bo159bo$531bo! EDIT2: Several shifting reactions for the point with one sided salvos: Code: Select all x = 82, y = 23, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 4$5bo11bo11bo11bo11bo11bo11bo3$25b3o27b3o9b3o5b3o$25bobo15b3o9bobo9bob
o5bobo$25bo17bobo11bo11bo5bo$4b3o9b3o26bo$4bobo9bobo11b3o$16bo13bobo$30bo22b3o$53bobo2$28b3o12b3o$28bobo12bobo$45bo! shifting by (0,1), (0,1), (0,-1), (0,-3), (1, 0), (1,-1), (2,-2) And for the snowflake: Code: Select all x = 111, y = 188, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e$11bo24bo24bo$9b5o20b5o20b5o26bo$9bo3bo20bo3bo20bo3bo24b5o$8b2obob2o 18b2obob2o18b2obob2o23bo3bo$9bo3bo20bo3bo20bo3bo23b2obob2o$9b5o20b5o 20b5o24bo3bo$11bo24bo24bo26b5o$90bo2$10b3o16b3o22b3o$10bobo16bobo22bob o26b3o$29bo24bo28bobo$83bo$6b3o$6bobo6$36b3o$36bobo52b3o$91bobo6$39b3o$39bobo52b3o$94bobo$94bo2$41b3o$41bobo2$93b3o$93bobo$35b3o55bo$35bobo$37bo2$90b3o$90bobo3$33b3o$33bobo$35bo54b3o$90bobo5$31b3o56b3o$31bobo 56bobo$33bo4$90b3o$90bobo$33b3o$33bobo$33bo5$35b3o$35bobo4$27b3o$27bob o$27bo6$29b3o$29bobo$29bo6$31b3o$31bobo$31bo3$37b3o$37bobo$37bo5$35b3o
$35bobo5$35b3o$35bobo5$35b3o$35bobo5$35b3o$35bobo5$35b3o$35bobo5$35b3o
$35bobo5$35b3o$35bobo5$35b3o$35bobo5$35b3o$35bobo5$35b3o$35bobo5$35b3o
$35bobo5$35b3o$35bobo5$35b3o\$35bobo!
shifting by (0,1), (0,-1), (1,0), (1,-3). The pull reaction is clearly not optimal (the combination of the other three ones gives a quicker pull reaction) but it illustrates well, how the shifting reactions of the points can be combined.