Triangular rules that are likely to have gliders. Not all, of course, because basically each rule can be decomposed to an alternating rulepair withOUT B0 substring, and only the rules with exactly one B1 substring in the B0-less decomposed rulepair could have gliders.

B1 and S2 (with B0) are mutually exclusive, such rules have exploding patterns onlyin each step, each pattern will have a monotone increasing diameter.

Bash code for generating patterns for this post:

`n=0;for B in B0 B01 B02 B03 B012 B013 B023 B0123;do for S in S S0 S1 S2 S01 S02 S12 S012;do [[ $B$S =~ B01.*S.*2 ]] || echo -e "$[++n]th rule $B/${S}LE:\n[co""de]x = 1, y = 1, rule = $B/${S}LE\n21bo\$o5b2o4b3o5b3o![/co""de]\n";done;done`

Is everything okay with the Lifeviewer? Seems to be buggy.

1th rule B0/SLE:

`x = 1, y = 1, rule = B0/SLE`

21bo$o5b2o4b3o5b3o!

2th rule B0/S0LE:

`x = 1, y = 1, rule = B0/S0LE`

21bo$o5b2o4b3o5b3o!

3th rule B0/S1LE:

`x = 1, y = 1, rule = B0/S1LE`

21bo$o5b2o4b3o5b3o!

4th rule B0/S2LE:

`x = 1, y = 1, rule = B0/S2LE`

21bo$o5b2o4b3o5b3o!

5th rule B0/S01LE:

`x = 1, y = 1, rule = B0/S01LE`

21bo$o5b2o4b3o5b3o!

6th rule B0/S02LE:

`x = 1, y = 1, rule = B0/S02LE`

21bo$o5b2o4b3o5b3o!

7th rule B0/S12LE:

`x = 1, y = 1, rule = B0/S12LE`

21bo$o5b2o4b3o5b3o!

8th rule B0/S012LE:

`x = 1, y = 1, rule = B0/S012LE`

21bo$o5b2o4b3o5b3o!

9th rule B01/SLE:

`x = 1, y = 1, rule = B01/SLE`

21bo$o5b2o4b3o5b3o!

10th rule B01/S0LE:

`x = 1, y = 1, rule = B01/S0LE`

21bo$o5b2o4b3o5b3o!

11th rule B01/S1LE:

`x = 1, y = 1, rule = B01/S1LE`

21bo$o5b2o4b3o5b3o!

12th rule B01/S01LE:

`x = 1, y = 1, rule = B01/S01LE`

21bo$o5b2o4b3o5b3o!

13th rule B02/SLE:

`x = 1, y = 1, rule = B02/SLE`

21bo$o5b2o4b3o5b3o!

14th rule B02/S0LE:

`x = 1, y = 1, rule = B02/S0LE`

21bo$o5b2o4b3o5b3o!

15th rule B02/S1LE:

`x = 1, y = 1, rule = B02/S1LE`

21bo$o5b2o4b3o5b3o!

16th rule B02/S2LE:

`x = 1, y = 1, rule = B02/S2LE`

21bo$o5b2o4b3o5b3o!

17th rule B02/S01LE:

`x = 1, y = 1, rule = B02/S01LE`

21bo$o5b2o4b3o5b3o!

18th rule B02/S02LE:

`x = 1, y = 1, rule = B02/S02LE`

21bo$o5b2o4b3o5b3o!

19th rule B02/S12LE:

`x = 1, y = 1, rule = B02/S12LE`

21bo$o5b2o4b3o5b3o!

20th rule B02/S012LE:

`x = 1, y = 1, rule = B02/S012LE`

21bo$o5b2o4b3o5b3o!

21th rule B03/SLE:

`x = 1, y = 1, rule = B03/SLE`

21bo$o5b2o4b3o5b3o!

22th rule B03/S0LE:

`x = 1, y = 1, rule = B03/S0LE`

21bo$o5b2o4b3o5b3o!

23th rule B03/S1LE:

`x = 1, y = 1, rule = B03/S1LE`

21bo$o5b2o4b3o5b3o!

24th rule B03/S2LE:

`x = 1, y = 1, rule = B03/S2LE`

21bo$o5b2o4b3o5b3o!

25th rule B03/S01LE:

`x = 1, y = 1, rule = B03/S01LE`

21bo$o5b2o4b3o5b3o!

26th rule B03/S02LE:

`x = 1, y = 1, rule = B03/S02LE`

21bo$o5b2o4b3o5b3o!

27th rule B03/S12LE:

`x = 1, y = 1, rule = B03/S12LE`

21bo$o5b2o4b3o5b3o!

28th rule B03/S012LE:

`x = 1, y = 1, rule = B03/S012LE`

21bo$o5b2o4b3o5b3o!

29th rule B012/SLE:

`x = 1, y = 1, rule = B012/SLE`

21bo$o5b2o4b3o5b3o!

30th rule B012/S0LE:

`x = 1, y = 1, rule = B012/S0LE`

21bo$o5b2o4b3o5b3o!

31th rule B012/S1LE:

`x = 1, y = 1, rule = B012/S1LE`

21bo$o5b2o4b3o5b3o!

32th rule B012/S01LE:

`x = 1, y = 1, rule = B012/S01LE`

21bo$o5b2o4b3o5b3o!

33th rule B013/SLE:

`x = 1, y = 1, rule = B013/SLE`

21bo$o5b2o4b3o5b3o!

34th rule B013/S0LE:

`x = 1, y = 1, rule = B013/S0LE`

21bo$o5b2o4b3o5b3o!

35th rule B013/S1LE:

`x = 1, y = 1, rule = B013/S1LE`

21bo$o5b2o4b3o5b3o!

36th rule B013/S01LE:

`x = 1, y = 1, rule = B013/S01LE`

21bo$o5b2o4b3o5b3o!

37th rule B023/SLE:

`x = 1, y = 1, rule = B023/SLE`

21bo$o5b2o4b3o5b3o!

38th rule B023/S0LE:

`x = 1, y = 1, rule = B023/S0LE`

21bo$o5b2o4b3o5b3o!

39th rule B023/S1LE:

`x = 1, y = 1, rule = B023/S1LE`

21bo$o5b2o4b3o5b3o!

40th rule B023/S2LE:

`x = 1, y = 1, rule = B023/S2LE`

21bo$o5b2o4b3o5b3o!

41th rule B023/S01LE:

`x = 1, y = 1, rule = B023/S01LE`

21bo$o5b2o4b3o5b3o!

42th rule B023/S02LE:

`x = 1, y = 1, rule = B023/S02LE`

21bo$o5b2o4b3o5b3o!

43th rule B023/S12LE:

`x = 1, y = 1, rule = B023/S12LE`

21bo$o5b2o4b3o5b3o!

44th rule B023/S012LE:

`x = 1, y = 1, rule = B023/S012LE`

21bo$o5b2o4b3o5b3o!

45th rule B0123/SLE:

`x = 1, y = 1, rule = B0123/SLE`

21bo$o5b2o4b3o5b3o!

46th rule B0123/S0LE:

`x = 1, y = 1, rule = B0123/S0LE`

21bo$o5b2o4b3o5b3o!

47th rule B0123/S1LE:

`x = 1, y = 1, rule = B0123/S1LE`

21bo$o5b2o4b3o5b3o!

48th rule B0123/S01LE:

`x = 1, y = 1, rule = B0123/S01LE`

21bo$o5b2o4b3o5b3o!