May13 wrote: ↑March 21st, 2021, 9:10 pm

It is possible to replace tub to glider or any 2G combination (for example, Pi or B heptomino), not 3G?

Yes.

Code: Select all

```
x = 29, y = 19, rule = B3/S23
24bo$6bo15b2o$4bobo16b2o$5b2o4$b2o$obo5bo$2bo4bobo$7bo2bo$8b2o2$26b2o
$26bobo$11bo14bo$10bobo3b2o$10bobo2bo2bo$11bo4b2o!
```

Also, the loaf and traffic light predecessor are used to make an I-sequence, which is a common active region and therefore has a three-glider synthesis. Taking advantage of this saves another glider.

Code: Select all

```
x = 31, y = 27, rule = B3/S23
26bo$24b2o$25b2o4$13bo$12bo$12b3o2$7bo$8b2o9bo$7b2o9bo$18b3o7b2o$28bo
bo$28bo$2o$b2o$o$15b3o$15bo$16bo6b2o$23bobo$23bo$12b2o$11bobo$13bo!
```

The fast component that you still works with the new version of the synthesis, as does another.

Code: Select all

```
x = 131, y = 40, rule = B3/S23
32bo93bo$30b2o92b2o$31b2o92b2o4$19bo93bo$18bo93bo$18b3o91b3o2$13bo93b
o$14b2o9bo82b2o9bo$13b2o9bo82b2o9bo$24b3o7b2o82b3o7b2o$34bobo91bobo$34b
o93bo$6b2o92b2o$7b2o92b2o$6bo93bo$21b3o91b3o$21bo93bo$22bo6b2o85bo6b2o
$29bobo91bobo$29bo93bo$18b2o92b2o$17bobo91bobo$19bo93bo5$24b3o70b2o$24b
o71bobo$3o22bo72bo$2bo$bo118b2o$119b2o$23b3o95bo$23bo$24bo!
```

The first synthesis uses a component that can be generalized to more still-lives.

Code: Select all

```
x = 319, y = 19, rule = B3/S23
13bo49bo49bo49bo49bo49bo49bo$6bo5bo43bo5bo43bo5bo43bo5bo43bo5bo43bo5b
o43bo5bo$4b2o6b3o39b2o6b3o39b2o6b3o39b2o6b3o39b2o6b3o39b2o6b3o39b2o6b
3o$2bo2b2o45bo2b2o45bo2b2o45bo2b2o45bo2b2o45bo2b2o45bo2b2o$obo47bobo47b
obo47bobo47bobo47bobo47bobo$b2o48b2o48b2o48b2o48b2o48b2o48b2o4$17bo49b
o49bo49bo49bo49bo49bo$16b2o48b2o48b2o48b2o48b2o48b2o48b2o$16bobo47bob
o47bobo47bobo47bobo47bobo47bobo$6b2o48b2o48b2o48b2o48b2o48b2o48b2o$5b
o2bo46bo2bo46bo2bo45bo2bo46bo2bo47bo2bo46bo2bo$6b2o48bobo47bo2bo44b2o
48b3o48b3o48b3o$57bo49b2o$204b3o48b3o48b3o$204bo2bo47bo2bo46bo2bo$206b
2o48b2o48b2o!
```

Also, if one is clever, one can use it to turn a ship into a bookend by using a ship predecessor instead of a ship that is already there. This works at two timings when making the ship from a pond.

Code: Select all

```
x = 72, y = 24, rule = B3/S23
16bo49bo$9bo5bo43bo5bo$7b2o6b3o39b2o6b3o$5bo2b2o45bo2b2o$3bobo47bobo$
4b2o48b2o4$20bo49bo$19b2o48b2o$19bobo47bobo$9b2o48b2o$8bo2bo46bo2bo$8b
o2bo46bo2bo$9b2o48b2o6$b2o48b2o$obo49b2o$2bo48bo!
```

There are a couple of fast components that can be used on another of your syntheses.

Code: Select all

```
x = 179, y = 55, rule = B3/S23
6bo$4bobo$5b2o14$5bobo$6b2o$6bo3$70bo$69bo97b2o2b2o$69b3o94bo2bo2bo2b
2o$105b2o2b2o55bobo3bobo2bo$104bo2bo2bo2b2o52bo3b2obob2o$104bobo3bobo
2bo58bo$105bo3b2obob2o55b3ob3o$37bo74bo49bo8bo2bo3bo$36bo72b3ob3o46b2o
8bobobobo$36b3o70bo2bo3bo44bobo9b2ob2o$110bobobobo$111b2ob2o2$36b2o$22b
2o7bo3b2o$21bo2bo5bobo4bo$22bobo6b2o80bo$23bo88bobo$113b2o7$3o$2bo$bo
25b2o$26bobo$27bo2$132b3o$132bo$133bo!
```

Code: Select all

```
x = 134, y = 56, rule = B3/S23
48bo$47bo$2bo44b3o$obo$b2o18$69bo$68bo$68b3o2$108bo3b2o$107bobobo2bo$
108b2obob2o$36bo74bo$35bo72b3ob3o$35b3o70bo2bo3bo$109bobobobo$110b2ob
2o2$35b2o$21b2o7bo3b2o$20bo2bo5bobo4bo$21bobo6b2o80bo$22bo88bobo$112b
2o9$26b2o$25bobo$26bo2$131b3o$131bo$132bo!
```

Lastly, for your last synthesis, Catagolue knows a way to synthesize the blinker and one of the beehives with three gliders. I've submitted the following to Catagolue, which will reduce the glider cost of the corresponding still life by one glider.

Code: Select all

```
x = 74, y = 19, rule = B3/S23
8bo$8bobo$8b2o$2bo$obo$b2o$64b2o$53bo9bo2bo$54bo9b2o$52b3o2$12bo59bo$
11bobo57bobo$11bobo57bobo$6bo5bo53bo5bo$6bo59bo$6bo45bo13bo$52b2o$51b
obo!
```

Overall, I'd say that you're catching on quickly, and you also seem to have a knack for finding good cleanups manually (although you should be aware that there are programs for that). Keep up the good work.

I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.