I've started running basic 3-catalyst catgl searches on each likely candidate, starting from the upper left corner of the matrix. Who knows how far I'll get -- anyone interested in helping out could try starting from the lower right corner, and maybe we'll meet in the middle.
A1 turns out to be a variant of the block-and-eater catalyst found in the L112 and H-to-G#19. It doesn't work in quite the same way -- depending on the next catalysis, it can leave a blinker behind. This turns out to allow for a new even-period-only period doubler (right side of the following pattern):
Code: Select all
x = 204, y = 45, rule = LifeHistory
195.B$194.3D$194.BDB$193.3D2B$193.5B$192.6B$192.6B$71.4B118.5B$29.A
42.4B117.6B$28.A.A42.4B49.4B62.6B$28.A.A43.4B10.C38.4B61.7B$27.2A.3A
42.4B7.3C39.4B61.6B$28.B4.A42.4B5.C43.4B10.A49.6B$19.3B5.2AB3A44.4B3.
DAC43.4B7.3A49.6B$19.4B4.2A.A47.9B44.4B5.A51.8B$20.9B48.8B47.4B4.2A
49.8B$19.8B44.2C3.11B46.9B49.9B$13.2A3.11B43.C4.11B44.8B51.9B$14.A4.
11B42.C.CB.11B38.2A3.11B48.10B$14.A.AB.11B43.CAB.12B38.A4.11B47.3B2A
5B$15.2AB.12B43.D14B38.A.AB.11B41.2A3.4B2A5B$17.14B34.2C8.15B38.2AB.
12B41.A3.11B$7.2A8.15B34.C8.15B40.14B41.A.A12B$8.A8.15B34.C.CB6.14B
30.2A8.15B35.2A4.2A2.8B$8.A.AB6.14B35.CAB.3B3.14B30.A8.15B36.A9.7B4.
2A$9.2AB.3B3.14B35.D21B31.A.AB6.14B36.A.AB7.6B4.A$11.22B36.21B32.2AB.
3B3.14B36.2AB.3B3.6B.BA.A$11.21B38.20B34.22B38.14B.B2A$12.20B2A35.21B
34.21B39.16B$11.21BA.A32.17B3.DAC35.20B40.14B$9.20B5.A30.19B4.C35.21B
39.16B$7.19B.B6.2A29.2BC15B6.3C30.21B2A37.18B$7.2BC15B39.3BCBC4B.7B9.
C28.19B.B2.A36.19B$6.3BCBC4B.7B41.2B3C4B2.6B38.2BC15B6.3A33.2BC15B$7.
2B3C4B2.6B40.5BC4B3.5B37.3BCBC4B.7B9.A32.3BCBC4B.3BD3B$6.5BC4B3.6B38.
10B5.B.3B37.2B3C4B2.6B43.2B3C4B2.2BD3B$5.10B6.4B37.4B10.D3BA3BD34.5BC
4B3.6B41.5BC4B3.BD3B$4.4B12.B2A2B37.3B12.C.C.A2.C33.10B6.4B40.10B5.B.
3B$3.4B14.2A.B2A33.4B11.3C.C.4C32.4B12.B2A2B39.4B11.3BA3B$2.4B18.BA.A
32.CAD11.C5.C35.4B14.2A.B2A37.3B12.A.A.A2.A$2.2A23.A33.C12.2C6.C32.4B
18.BA.A34.4B11.3A.A.4A$3.A23.2A29.3C20.2C32.2A23.A34.2A12.A5.A$3A55.C
57.A23.2A34.A12.2A6.A$A112.3A57.3A20.2A$113.A59.A!
Some variants of H-to-G#19 also came up. I think I remember someone discovering that the eater2 in H-to-G#19 can be replaced by a fishhook eater, but it turns out there's also an alternate placement of another eater that turns H-to-G#19 into a new transparent Spartan glider inserter. We don't have very many of those. It's not an edge-shooter, unfortunately; Spartan edge-shooters are even rarer.
EDIT: This search also rediscovers H-to-G#5, another potentially Spartan transparent inserter. Here again, through sheer luck, the new conduit is interchangeable with the old block-and-eater combination:
Code: Select all
x = 152, y = 68, rule = LifeHistory
12.4B$13.4B$14.4B$15.4B$16.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$23.
4B$24.4B7.2A$25.4B5.B2CB$26.B80.2A$107.2A2$46.2A$21.2A23.A$22.A21.A.A
71.2A$22.A.A19.CA47.2A23.A$23.2A19.B49.A21.A.A$94.A.A19.2A$44.2B49.2A
$44.BCA$44.BCA$44.2B2$23.A$23.A.A$23.3A69.A$25.A69.A.A$95.3A$33.3BC3B
57.A$33.A.A.C2.A$31.3A.A.4A66.2A$16.2A12.A5.A70.2A2.2A$17.A12.2A6.A
72.A.A$14.3A20.2A49.2A23.A$14.A74.A23.2A$86.3A$86.A!
The search found H-to-G #10 as well, also seems to have turned up a new Spartan H-to-G -- #5 is on NW newlane 19, #10 is on NW newlane 18, #19 is on NW newlane 30, but this one is on NW newlane 15:
Code: Select all
#C Spartan (but not transparent) H-to-northwest-G on newlane 15
x = 32, y = 33, rule = LifeHistory
.4B12.A$2.4B11.3A$3.4B13.A$4.4B11.2A$5.4B10.5B6.2A$6.4B11.4B5.A$7.4B
9.6B.BA.A$8.4B7.7B.B2A$9.4B4.11B$10.4B3.11B$11.17B$7.2A3.15B$8.A4.13B
$8.A.AB2.12B2.2A$9.2AB.15BA.A$11.16B3.A$11.16B3.2A$12.15B$11.15B$9.
17B$7.19B$7.2BC15B$6.3BCBC4B.7B$7.2B3C4B2.6B$6.5BC4B3.6B$5.10B6.4B$4.
4B12.B2A2B$4.3B14.2A.B2A$2.4B18.BA.A$2.2A23.A$3.A23.2A$3A$A!
And another one, a rare northeastward glider output, one cell away from the old L156-based H-to-G (which was NE lane 9):
Code: Select all
#C transparent Spartan H-to-G on NE lane 8
x = 46, y = 31, rule = LifeHistory
37.4B$36.4B$20.A14.4B$20.3A11.4B$23.A9.4B$22.2A8.4B$10.2A10.6B3.4B$
11.A12.5B.4B$11.A.AB7.11B$12.2A5B3.13B$14.20B2A$14.20B2A$15.20B$14.
21B$12.20B$10.21B$10.2BA15B.4B$9.3BABA4B.7B4.2A$10.2B3A4B2.6B4.A$9.5B
A4B3.6B4.3A$8.10B6.4B6.A$7.4B12.B2A2B$7.3B14.2A.B2A$5.4B18.BA.A$5.2A
23.A$6.A23.2A$3.3A$3.A!
Here again, if the Bellman-generated catalyst is used instead of the old block-and-eater constellation, the result is an even-period-only period doubler:
Code: Select all
x = 38, y = 28, rule = LifeHistory
34.A3B$33.B2AB$17.A14.BABA$17.3A11.4B$20.A9.4B$19.2A8.4B$7.2A10.6B3.
4B$8.A12.5B.4B$8.A.AB7.11B$9.2A5B3.13B$11.20B2A$11.20B2A$12.20B$11.
21B$9.20B$7.21B$7.2BA15B.4B$6.3BABA4B.3BA3B4.2A$7.2B3A4B2.2BA3B4.A$6.
5BA4B3.BA4B4.3A$5.10B5.B.D2B6.A$4.4B11.3BC3B$4.3B12.A.A.C2.A$2.4B11.
3A.A.4A$2.AC12.A5.A$3.A12.2A6.A$3A20.2A$A!