B3678/S35678

[drc]

This rule is very interesting. It often generates high period oscillators, classified as pathological, like this p1320:

Code: Select all

x = 16, y = 16, rule = B3678/S35678
obbooooooboooooo$
boobboobbboobobo$
bbobbobobobboboo$
oobbbbboobbobooo$
bbbbobbooooobboo$
obbobbbooboobboo$
ooobbbobooooooob$
ooooboobobbbbooo$
ooboboboooboooob$
obbboobbobooobob$
oboobooboooobobo$
oboboobobbbobobb$
oobboooobobbbbbo$
oboooboobooobbbb$
obobboboobooobob$
oobbobbooobooboo!

It also differs from Day & Night that it has an odd-period diagonal linear growth:

Code: Select all

x = 8, y = 8, rule = B3678/S35678
2b3o$b4o$7o$7o$8o$2b5o$2b5o$4bo2bo!

The only natural ships are this rare c/6 diagonal:

Code: Select all

x = 5, y = 5, rule = B3678/S35678
b3o$2b2o$ob3o$2b3o$2b3o!

And a one-time occurrence of a 3c/340:

Code: Select all

x = 11, y = 9, rule = B3678/S35678
o8bo$b8o$b9o$b9o$11o$b9o$b9o$b8o$o8bo!

Here are all the oscillator periods:

Code: Select all

2-24, 26-28, 30-36, 39, 40, 42, 44-46, 48, 51-52, 54-56, 60, 62, 65-66, 68-69, 70, 72, 77-78, 80, 84, 88, 90, 92-93, 96, 98-99, 102, 104-105, 108, 110, 112, 115, 120, 124, 130, 132-133, 135, 136, 138, 140-141, 143-144, 149, 154, 156, 160-161, 165, 168, 170, 176, 180, 184, 186-187, 195, 198, 207-208, 210, 216, 220-221, 230-231, 240, 248, 252-253, 255, 260, 264, 266, 270, 276, 280, 282, 286, 294, 297-299, 308, 310, 312, 322, 330, 336, 341, 345, 351, 352, 360, 368, 372, 392, 396, 399, 408, 414, 416, 420, 429, 432, 440, 447, 460, 462, 465, 480, 483, 490, 495, 496, 506, 510, 520, 528, 532, 540, 552, 558, 588, 594, 596, 616, 620-621, 624, 644, 660, 665, 682, 690, 696, 705, 713, 715, 720, 736, 744-745, 759, 780, 792, 798, 840, 858, 864, 880, 894, 897, 920, 924, 930, 966, 992, 1012, 1056, 1064, 1104, 1192, 1240, 1265

Here are some of the spicier oscilators:
16:

Code: Select all

x = 4, y = 4, rule = B3678/S35678
bo$3o$b3o$2b2o!

19:

Code: Select all

x = 8, y = 8, rule = B3678/S35678
3o$3o$6o$2b4o$2b4o$2b6o$5b3o$5b3o!

36:

Code: Select all

x = 9, y = 9, rule = B3678/S35678
6bo$4b4o$2b7o$b7o$2b6o$7o$7o$4obo$4o!

45:

Code: Select all

x = 9, y = 9, rule = B3678/S35678
3o$5o$5o$b6o$b6o$3b5o$3b6o$5b4o$6b3o!

133:

Code: Select all

x = 18, y = 20, rule = B3678/S35678
6b2o$6b2o$4b5o$4b7o$2b9o$2b11o$b12o$14o$16o$16o$18o$18o$b15o$b15o$3b
11o$3b11o$5b7o$5b7o$8b2o$9bo!

141:

Code: Select all

x = 16, y = 17, rule = B3678/S35678
6b5o$6b5o$4b8o$4b10o$2b12o$2b14o$16o$14o$14o$12o$12o$10o$b9o$2b6o$2b6o
$4b2o$4b2o!

149:

Code: Select all

x = 16, y = 19, rule = B3678/S35678
7bo$8b2o$7b5o$5b6o$5b7o$4b10o$2b12o$2b14o$16o$14o$13o$13o$11o$11o$b8o$
2b6o$2b6o$4b2o$4b2o!

I gave up after that, but you're welcome to try!

[muzik]

Glider database reports 2 more really small spaceships, these being c/2 orthogonal:

Code: Select all

x = 19, y = 7, rule = B3678/S35678
2o$4o$3o9bob3obo$13b5o$3o9b3ob3o$4o9bo3bo$2o!

Using one window to apgsearch this, hope these two (and maybe something else weird?) come out of soup soon