calcyman wrote: ↑April 3rd, 2021, 11:38 am

This (or a variation thereof) might potentially allow a faster-recovery post-elbow-2c/3-to-G...

It certainly seems like there are a lot of variants to explore here. You can get a slightly dirty B-heptomino out at the cost of four gliders, or two gliders plus a Herschel-to-beehive, so it's a 3-signal synchronization problem:

Code: Select all

```
x = 33, y = 36, rule = LifeHistory
6.2A$7.A9.A.A$5.A11.2A$5.5A8.A9.A$3.2A4.A17.A$2.A2.A.A19.3A$2.2A.A.2A
$5.A$5.4A$3.2A3.A10.3A8.3A$2.A2.3A3.A7.A10.A$3.A.A5.3A6.A10.A$2.2A.A
8.A$A2.A.2A6.2A$2A$8.2A$7.A.A$7.A.A.2A$5.A.A.A.A.A$4.A.A2.A.A.A$4.A4.
A.A.A.2A$5.4A2.A.A.A$11.A.A.A$7.4A2.A.A.2A$7.A5.A.A.A$10.6A.A$10.A4.A
.A.2A$11.7A.A$17.A.A$13.4A2.A.2A$13.A5.A.2A$14.5A2$16.3A$16.A2.A$18.
2A!
```

Or a clean glider output is possible, but it's going to slow things down a lot to turn that into four input gliders synchronized in pairs so it's possible the messy B-heptomino output would allow a faster recovery:

Code: Select all

```
x = 29, y = 38, rule = LifeHistory
26.A$25.A$6.2A17.3A$7.A9.A.A$5.A11.2A$5.5A8.A$3.2A4.A$2.A2.A.A$2.2A.A
.2A$5.A21.A$5.4A17.2A$3.2A3.A10.3A4.A.A$2.A2.3A3.A7.A$3.A.A5.3A6.A$2.
2A.A8.A$A2.A.2A6.2A$2A$8.2A$7.A.A$7.A.A.2A8.2A$5.A.A.A.A.A7.2A$4.A.A
2.A.A.A$4.A4.A.A.A.2A$5.4A2.A.A.A$11.A.A.A$7.4A2.A.A.2A$7.A5.A.A.A$
10.6A.A$10.A4.A.A.2A$11.7A.A$17.A.A$13.4A2.A.2A$13.A5.A.2A$14.5A2$16.
3A$16.A2.A$18.2A!
```

Unless I've missed some new technology, the

most recent 1061-tick recovery mechanism for 2c/3-to-X was also a 3-signal synch. It definitely seems like there ought to be some room for improvement with that device! We have several edgy H-to-beehives, so mostly what would be useful would be an equally edgy H-to-pond, that's compatible with one of the H-to-beehives. Then maybe this could be boiled down to a two-signal reconstruction problem, where the only synchronization needed was getting the two objects rebuilt in the correct order.

This seems like about as fast as we could expect to get a usable Herschel signal out, without any pieces that would get in the way of a glider-based rebuild at least:

Code: Select all

```
x = 50, y = 86, rule = LifeHistory
4.2A.A$4.A.2A2$5.5A$2A2.A4.A$A2.A2.A$.A.A.2A$2A.A5.A$3.A4.A.A$3.2A2.A
2.A$8.2A9$16.2A$16.2A8$6.2A22.2A$7.A21.A2.A$4.3A23.2A$4.A6$13.2A$14.A
$11.3A$11.A10$25.2A$26.A$24.A8.2C14.D$24.5A3.C2.C3.2C6.3D$22.2A4.A3.C
2.C2.C2.C5.D.D$21.A2.A.A6.2C4.2C6.D$21.2A.A.2A$24.A$24.4A$22.2A3.A$
21.A2.3A3.A$22.A.A5.3A$21.2A.A8.A$19.A2.A.2A6.2A$19.2A$27.2A$26.A.A$
26.A.A.2A$24.A.A.A.A.A$23.A.A2.A.A.A$23.A4.A.A.A.2A$24.4A2.A.A.A$30.A
.A.A$26.4A2.A.A.2A$26.A5.A.A.A$29.6A.A$29.A4.A.A.2A$30.7A.A$36.A.A$
32.4A2.A.2A$32.A5.A.2A$33.5A2$35.3A$35.A2.A$37.2A!
```

... Well, I suppose once you stick an F116 on that Herschel to get it a safe distance away, the beehive is in the wrong orientation for an easy 2-glider rebuild, and that ends up being more like four synchronized gliders anyway. Other options that I can find immediately seem similarly not-quite-good, but there's a lot of space left to hunt through:

Code: Select all

```
6.2A$7.A$5.A8.2A$5.5A3.A2.A$3.2A4.A3.A2.A$2.A2.A.A6.2A3.2A$
2.2A.A.2A9.A2.A$5.A13.A.A$5.4A11.A$3.2A3.A$2.A2.3A3.A$3.A.A
5.3A$2.2A.A8.A$A2.A.2A6.2A$2A$8.2A$7.A.A$7.A.A.2A$5.A.A.A.A.
A$4.A.A2.A.A.A$4.A4.A.A.A.2A$5.4A2.A.A.A$11.A.A.A$7.4A2.A.A.
2A$7.A5.A.A.A$10.6A.A$10.A4.A.A.2A$11.7A.A$17.A.A$13.4A2.A.
2A$13.A5.A.2A$14.5A2$16.3A$16.A2.A$18.2A!
```