User:H. H. P. M. P. Cole/qfind results

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Revision as of 17:05, 18 August 2024 by DroneBetter (talk | contribs) (add gutter where applicable and glide-symmetric where outer-totalistic (and thereby gfindable), split entries to also contain strict versions; many strengthenings, some positive results (excluding additions of gutter/glides): B34ar5in/S2i3-i4-nwz5ceny6cei7e8: first c/6 at w17o, complete 3c/9 w6a and 2c/10 w6a; B3/S35: complete 2c/6 w17o and w18e, 3c/6 w13g (Cole had falsely recorded w15o as minimal due to a known qfind bug), add May13's discovery of a c/4 w64e)
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B34ar5in/S2i3-i4-nwz5ceny6cei7e8

(still coming up with a name for this rule)

Velocity Asymmetric Odd-symmetric Even-symmetric Gutter-symmetric
(1,0)c/2 12 23 24 25
(1,0)c/3 4 9 4 9
4 9 9
(1,0)c/4 10 < w ≤ 14 19 14 21
12 (rlifesrc)[n 1]
(2,0)c/4 15 21 < w ≤ 31 20 < w ≤ 32 25 < w ≤ 31
(1,0)c/5 6 13 12 13
13
(2,0)c/5 12 21 22 23
(1,0)c/6 9 17 18 19
(2,0)c/6 5 9 10 11
(3,0)c/6 12 23 22 23
(1,0)c/7 8 11 12 15
(2,0)c/7 9 17 18[n 2] 19
(3,0)c/7 11 21 20 23
(1,0)c/8 7 13 14 15
(2,0)c/8 9 < x ≤ 13 13 14 15[n 3]
(3,0)c/8 10 17 20 21
(4,0)c/8 10 19 20 21
(1,0)c/9 7[n 4] < w ≤ 11 11 12 13
(3,0)c/9 6 9 12 11[n 5]
(2,0)c/10 6 11 12 13
(1,0)c/11 5 9 10 11
(3,0)c/11 7 13 14 15

even symmetry at (1,0)c/11 is slightly more promising than odd, even at (3,0)c/11 more so

B2-ak3aj4aeq5aci6cn78/S1c2en3aeijn4aeir5aiy6-e78

Velocity Asymmetric Odd-symmetric Even-symmetric
(1,0)c/2 14 27 28
(1,0)c/3 13 25 26
(1,0)c/4 8 17 16
(2,0)c/4 13 25 26
(1,0)c/5 9 < x ≤ 18 17 18
(2,0)c/5 11 21 22
(1,0)c/6 7 17 16
(2,0)c/6 10 19 20
(3,0)c/6 12 23 24
(1,0)c/7 8 < x ≤ 14 15 14
(2,0)c/7 9 17 18
(3,0)c/7 10 19 20
(1,0)c/8 8 < x ≤ 14 15 14
(2,0)c/8 7 15 14
(3,0)c/8 9 17 18
(4,0)c/8 10 19 20
(1,0)c/9 7 13 14
(2,0)c/9 8 15 16
(3,0)c/9 9 17 18
(4,0)c/9 10 17 18
(1,0)c/10 6 11 12
(2,0)c/10 6 11 12
(3,0)c/10 7 13 14
(4,0)c/10 8 15 16
(5,0)c/10 9 17 18
(1,0)c/11 6 11 12
(2,0)c/11 6 11 12
(3,0)c/11 6 11 12
(4,0)c/11 8 13 14
(5,0)c/11 9 17 18
(1,0)c/12 6 11 12
(2,0)c/12 6 11 12
(3,0)c/12 6 11 12
(4,0)c/12 6 11 12
(5,0)c/12 7 13 14
(6,0)c/12 8 15 16

B3/S35

Diagonals and glide-symmetrics found with gfind

Velocity Asymmetric Symmetric Gutter Glide-symmetric
odd even odd even
(1,0)c/2 4 5 10 9
10 21
(1,0)c/3 9 17 18 19
(1,0)c/4 10 19 20 < w ≤ 64[1] 21
(2,0)c/4 5 5 12 11 5 10
12 19
(1,1)c/4 12 23 25 24
(1,0)c/5 10 17 18 19
(2,0)c/5 11 21 22 23
(1,0)c/6 9 17 18 19
(2,0)c/6 9 17 18 19 17 16
(3,0)c/6 10 13 18 13[n 6]
15
(1,0)c/7 8 15 16 17
(2,0)c/7 9 17 18 19
(3,0)c/7 10 19 20 21
(1,0)c/8 7 13 14
(2,0)c/8 8 13 14 15 11 10
(3,0)c/8 10 17 18 19
(4,0)c/8 5 9 8 11 5 14
7 17

Notes

  1. ↑ specified part of longest w12 partial
    .....oo.....
    .....oo.....
    ...oo.......
    ...ooo.oooo.
    .....oo..o..
    .....oooo..o
    ........oo..
    .....oo...o.
    ........oo..
    ............
    ....ooo.o...
    ....o.ooo...
    .....oooo...
    ...ooo.oo...
    .oo..o......
    .oo..o......
    o.o.o.......
    o.oo.oo.....
    .oo....o....
    o..ooooo.oo.
         .
    if w=13, h>24
  2. ↑ 18*134 partial
    8b2o$8b2o$7bo2bo$4b2o6b2o$2b3o2bo2bo2b3o$3bo3bo2bo3bo$bobobob4obobobo$6bob2obo$2b2o2b2o2b2o2b2o$3b3o2b2o2b3o$5bob4o
    bo$4b4o2b4o$3b2ob6ob2o$4bobo4bobo$3obobo4bobob3o$2b3ob2o2b2ob3o$2ob3ob4ob3ob2o$2b2o2bo4bo2b2o$2bo2bob4obo2bo$5b2o4
    b2o$7b4o$5bo6bo$4bo8bo$4bobob2obobo$5bo2b2o2bo$5b3o2b3o2$5b8o2$5b3o2b3o$5bo6bo$6bo4bo$7b4o$6b2o2b2o$2b2ob8ob2o$b4o8
    b4o$b3o2bo4bo2b3o2$7bo2bo$5b2ob2ob2o$4b3o4b3o$2bobo3b2o3bobo$o2b2o3b2o3b2o2bo$bobo2bo4bo2bobo$2bob4o2b4obo$2b2obob
    4obob2o$2bobobo4bobobo$bobo10bobo$o4bob4obo4bo$bo6b2o6bo$bob4o4b4obo$2bo3bo4bo3bo$3bob2ob2ob2obo$3bob8obo$5bo6bo$6b
    2o2b2o$6b6o2$6b6o$5bobo2bobo$5b2ob2ob2o$3b5o2b5o$4bo8bo$4bob6obo$6b6o$2b3o2bo2bo2b3o$b2o2b8o2b2o$3bob8obo$2bo5b2o5
    bo$4bob6obo$5b2ob2ob2o$5bobo2bobo$2bo2bo6bo2bo$2b2o2b2o2b2o2b2o$b4o2b4o2b4o$b2o12b2o$b2obob6obob2o$4bobo4bobo$bo2bo
    bob2obobo2bo$2bo2bobo2bobo2bo$bobob8obobo$5bob4obo$7bo2bo$5bo6bo$4bo2bo2bo2bo$6bob2obo$5b2ob2ob2o$5b2o4b2o$5b2ob2o
    b2o$4bob6obo$3b2o8b2o$3b2ob2o2b2ob2o$6bo4bo$5bob4obo$5bo6bo$3bobo6bobo$4b2o6b2o$4bobo4bobo$5bo6bo$6b6o$5b2o4b2o$4b2
    o6b2o$4b2o6b2o$3b2o3b2o3b2o$3bob2ob2ob2obo$2b3obo4bob3o$6bo4bo$4bobo4bobo$3b2o8b2o$5bobo2bobo$6bo4bo$6bo4bo$5b3o2b
    3o$8b2o$8b2o$3b4o4b4o$3b3ob4ob3o$2b3o8b3o$2b2o4b2o4b2o$2b4o6b4o$2b2o3bo2bo3b2o$4bobo4bobo$2b2o2bob2obo2b2o$3o3bob2o
    bo3b3o$bo4bo4bo4bo$2o5b4o5b2o$b3ob2o4b2ob3o$b2o4b4o4b2o$2b2o2bo4bo2b2o$bob5o2b5obo$4o10b4o$3bo10bo$2bob10obo$6b6o!
  3. ↑ 15*57 partial
    3b2o5b2o$2b4o3b4o$2bo2bo3bo2bo$3bob2ob2obo$3b2o5b2o$bo11bo$bo3b2ob2o3bo$4b2o3b2o$5b2ob2o$5b2ob2o$4bobobobo$3b2obobob2o$4bobobo
    bo$3b2obobob2o$3bo2bobo2bo$bo4bobo4bo$2bo2b2ob2o2bo$2bobobobobobo$3b2obobob2o$2bobobobobobo$4bobobobo$b2obobobobob2o$3b2obobob
    2o$2bo2b2ob2o2bo$3b2obobob2o$5bo3bo$5bo3bo$3b2o5b2o$2bo2bo3bo2bo$2b3o5b3o$b2o2bo3bo2b2o$2bob2o3b2obo$3b4ob4o$bobo2bobo2bobo$4o
    bo3bob4o$2bobobobobobo$6bobo$2bob3ob3obo$2bo2b2ob2o2bo$bo4bobo4bo$2b5ob5o$bo4bobo4bo$2o2bo5bo2b2o$bo4bobo4bo$4bobobobo$b2obobo
    bobob2o$bobo2bobo2bobo$2b2ob2ob2ob2o$6bobo$b2o9b2o$b4o5b4o$o4bo3bo4bo$bo3b2ob2o3bo$3ob2o3b2ob3o$4b2o3b2o$ob2obo3bob2obo$2bo9bo!
  4. ↑ 7*49 partial
    2b3o$3b3o$2o$bob3o$o2b2o$bob3o$2bo2bo$3o2bo2$b3o$b3o$3bo$2bo$4b2o$2b2o$3bob2o
    $bobobo$2bob2o3$b3o$2obo$3b2o$3bo2$b5o$2bo2bo$b5o3$3bo$3ob2o$3bobo$2bobo$3bob
    o$4bo$bobo$bo$b2ob2o$4bobo$2b3o$bobo$2b2o$o3bo$2bo$3ob3o$b2o2bo$o3bobo$3o2bo!
  5. ↑ longest partial decays into disjoint parts, including a c/3 wickstretcher
  6. ↑ logical width 6, yet not found by qfind until logical width 9 (due to known issue for period-multiplied ships)

References

  1. ↑ May13 (October 5, 2021). Re: Spaceships in Life-like cellular automata (edit 6), in which (after considerable effort) a c/4 was found in B3/S35
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