Completion of a C-to-G partial from the "speculative conduits" thread (by MathAndCode):

Fourth edit: Here's a mostly complete way to turn a century into a glider:

Code: Select all

```
x = 30, y = 19, rule = B3/S23
7b2o$7bobo$9bo$9b2o$11bo$9b3o$8bo$4bo3b2o$3bobo$3bobo$b3ob2o$o$b3ob2o
19b2o$3bob2o19bobo$28bo$28b2o$15bo$14b3o$16b2o!
```

Code: Select all

```
x = 26, y = 31, rule = LifeHistory
$11.A$10.A.A$10.A.A$9.2A.2A$10.B7.2A$9.2AB2A3.A2.A$9.2A.A.A2.3A$3.2B.
5B3.3A$.9B3.A3.5A$10B3.A.2A.B3.A$10B4.A.A.ABABA$12B3.2B2A.2A$13B3.6B$
19B$5B3C11B$7BC11B$4BCB2C2BD9B.2A.2A$.3B2C3BD11B.A.2A$.8B3D9B.A$.19B.
2A$2.19B$3.B.16B2A$4.16B2.A$3.4B2.8B4.A$2.4B5.4B7.3A$2.3B4.6B9.A$9.2A
.B$10.A$7.3A$7.A!
```

Found with barrister.

EDIT: here's a C-to-G catalyst.

Code: Select all

```
x = 14, y = 22, rule = LifeHistory
3.2A$3.A$2A.A$A2.2A$2.A3.2A.2A$3.3A.2A.A$5.B5.2A$5.2AB3A2.A$4.B2A.A2.
3A$5.4B.A$6.3B2.A$5.3CB.2A$4.2B.CB$3.BCB2CB$4.2C3B$4.4B$4.D3B$3.BDBD$
2.2B2D$2.3B$2.2B$2.B!
```

EDIT 2: and a pi-to-G.

Code: Select all

```
x = 37, y = 33, rule = LifeHistory
26.2A3.A$27.A3.3A$27.A.2A3.A$28.A.A.A.A$2A7.B19.2B3A.2A$.A5.4B19.B4.A
$.A.AB.5B5.B11.2BAB2A.A$2.2AB.6B3.4B9.2B2A.2A$4.8B.8B.3B.8B$3.29B$3.
28B$3.27B$2.29B$.30BD$.28BDBDB$.29B2D2B$2.26B3.4B$4.B3C12B2.B2.2B5.4B
$6.BC12B13.4B$5.3C11B15.3B$3.14B18.2B$2.11B23.B$2.11B$3.11B$3.12B.B$
4.10B.B2A$6.10B2A$4.10B.2B$4.2A.7B$5.A3.3B$2.3A$2.A!
```

There's probably a couple more pi-to-G's that could be found with this start with more effort, but it seems like there's better things to search, given how few X-to-Pi's can connect.

EDIT 3: HB23P! Basically a slightly better HB19P, with different timing and placement. Output converges to pi one at the 1-gen descendent of the house (t = 27).

Code: Select all

```
x = 29, y = 21, rule = LifeHistory
D3.D.4D3.3D3.3D2.4D$D3.D.D3.D.D3.D.D3.D.D3.D$D3.D.D3.D5.D5.D.D3.D$5D.
4D5.D4.2D2.4D$D3.D.D3.D3.D7.D.D$D3.D.D3.D2.D4.D3.D.D$D3.D.4D2.5D2.3D
2.D3$19.2A$18.A.A$13.B2E3BA$13.E2BEB$9.3B.B2E2B$5.5BC8B$5.B3DBCBC6B$
4.2BD3B3C5B$5.B3D3BC4B$5.11B$8.3B.4B$13.2B!
```

EDIT 4: HB206C. Awkward geometry, though, with the FNG. The first half (producing the edgy unnamed region) is from an old discord message by Kazyan. I suspect there's more to be found with this start.

Code: Select all

```
x = 36, y = 55, rule = LifeHistory
D3.D.4D3.3D3.3D3.3D3.3D$D3.D.D3.D.D3.D.D3.D.D5.D3.D$D3.D.D3.D5.D.D2.
2D.D5.D$5D.4D5.D2.D.D.D.4D2.D$D3.D.D3.D3.D3.2D2.D.D3.D.D$D3.D.D3.D2.D
4.D3.D.D3.D.D3.D$D3.D.4D2.5D2.3D3.3D3.3D6$11.2A$11.2A$11.4B$13.3B$7.
2A4.4B$8.A5.4B4.2A$8.A.AB3.4B2.B2A2B$9.2AB.7B2.4B$11.15B8.2A$11.17B5.
A.A$12.19B2.A$11.20B.2A$9.23B$7.25B$7.2BC22B$6.3BCBC19B3.2A$7.2B3C19B
.B2.A$6.5BC20B3A$5.23B3.BA$4.4B.18B6.2A$3.4B.19B7.A$3.3B3.3B3DBD10B6.
A$.2AB4.5B2D2BD9B6.2A$.2AB3.7B4D8B$5.11BD7B$3.22B$2.22B$2.21B$.21B$.
21B$3.19B$4.6B.11B$4.6B3.8B$3.6B5.7B$4.4B2D6.5B$6.2DBD6.5B$6.D2B6.6B$
6.3D6.6B$14.2BE6B$15.EBE2B.2A$15.BE2B2.A$16.B5.3A$24.A!
```

EDIT 5: HF187B. Look at that output clearance!!

Code: Select all

```
x = 45, y = 58, rule = LifeHistory
12.D3.D.5D2.D3.3D2.5D.4D$12.D3.D.D5.2D2.D3.D5.D.D3.D$12.D3.D.D6.D2.D
3.D4.D2.D3.D$12.5D.3D4.D3.3D4.D3.4D$12.D3.D.D6.D2.D3.D2.D4.D3.D$12.D
3.D.D6.D2.D3.D.D5.D3.D$12.D3.D.D5.3D2.3D2.D5.4D3$13.2A$13.2A3$9.2A$
10.A5.4B4.2A$10.A.AB4.3B2.B2A2B$11.2AB.7B2.4B$13.15B8.2A$13.17B5.A.A$
14.19B2.A$13.20B.2A$11.23B$9.25B$9.2BC22B$8.3BCBC19B3.2A$9.2B3C19B.B
2.A$8.5BC20B3A$7.23B3.BA$6.4B.18B6.2A$5.4B.19B7.A$4.4B2.4B3DBD10B6.A$
3.4B3.5B2D2BD9B6.2A$3.3B3.7B4D8B$3.2B4.9BD7B$3.2A3.19B$3.A4.18B$2A.A.
20B$A.2A.2A17B$5.A4.14B$5.A.A5.11B5.A$6.2A5.11B3.3A$14.9B3.A$13.12B.
2A$12.16B$13.13B$11.2AB.12B$10.A.AB.11B$10.A5.10B$9.2A5.10B$16.9B$17.
9B$18.8B$18.11B$18.10B2D$17.12B2D$18.10B2D$19.2B3.4BD$24.2B!
```

EDIT 6: here's a small B-to-2G. I believe the top right Herschel catalyst is new.

Code: Select all

```
x = 37, y = 33, rule = LifeHistory
28.2A$28.A.A.2A$30.A.2A$18.A10.BA$18.3A6.2A.A.2A$21.A3.2B2AB2A.A$20.
2A3.7B.A.2A$15.3D2.12B.A.2A$15.D3B3.9B.2A$16.D3B2.9B.A2.2A$15.16B2.2A
.A$13.17B$13.2B2C13B$12.4B2C12B$11.4B2C13B$10.5BC13B$9.20B$8.4B2.15B$
7.4B3.14B4.2A$6.4B5.14B2.A.A$5.4B10.9B3.A$4.4B11.11B2A$3.4B11.11BA2.
2A$2.4B11.11BA.A2.A$.D3B12.8B2.2BA.2A$D3B11.2AB.5B4.2B.A$3D11.A.AB.4B
5.BA.A$14.A5.2B6.B2A$13.2A11.A$26.5A$30.A$28.A$28.2A!
```