toroidalet wrote: ↑April 16th, 2021, 6:12 pm

Take a glider synthesis that uses the pi created by this fuse:

That should take care most cases, but there are some problematic cases that remain. The ones that I can think of are the block, beehive, traffic light, pond, pi ash, and the constellation produced from this cluster:

Code: Select all

```
x = 13, y = 12, rule = B3/S23
11b2o$10bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo$2bo$bo$o!
```

At least some of these can be taken care of by using XWSS predecessors instead of gliders, using different fuses, and/or using different wick, but the block seems especially tricky.

Edit: I just found a way to create arbitrarily large block predecessors where every cell is necessary using a glider predecessor from mirage and an unsupported diagonal line.

Code: Select all

```
x = 51, y = 51, rule = B3/S23
o$bo$2bo$3bo$4bo$5bo$6bo$7bo$8bo$9bo$10bo$11bo$12bo$13bo$14bo$15bo$16b
o$17bo$18bo$19bo$20bo$21bo$22bo$23bo$24bo$25bo$26bo$27bo$28bo$29bo$30b
o$15b2o14bo$18bo13bo$16bo16bo$17bo16bo$15bo19bo$36bo$37bo$38bo$39bo$40b
o$41bo$42bo$43bo$44bo$45bo$46bo$47bo$48bo$49bo$50bo!
```

Another edit: This should take care of beehives:

Code: Select all

```
x = 36, y = 36, rule = B3/S23
35bo$34bo$33bo$32bo$31bo$30bo$29bo$28bo$27bo$26bo$13bo11bo$13bo10bo$10b
2o11bo$9bo3bo8bo$11bo9bo$20bo$19bo$18bo$17bo$16bo$15bo$14bo$13bo$12bo
$11bo$10bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo$2bo$bo$o!
```

Yet another edit: I have taken care of blinkers, traffic lights, loaves, and pi ash.

Code: Select all

```
x = 29, y = 29, rule = B3/S23
28bo$27bo$26bo$25bo$24bo$23bo$22bo$8bo12bo$9b2o9bo$8b2o9bo$18bo$17bo$
16bo$15bo$14bo$13bo$12bo$11bo$10bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo$2bo$bo
$o!
```

Code: Select all

```
x = 27, y = 27, rule = B3/S23
o$bo$2bo$3bo$4bo$5bo$6bo$7bo$8bo$9bo$10bo$11bo$12bo$13bo$14bo$6b2o7bo
$9bo6bo$7bo9bo$8bo9bo$6bo12bo$20bo$21bo$22bo$23bo$24bo$25bo$26bo!
```

Code: Select all

```
x = 42, y = 42, rule = B3/S23
o$bo$2bo$3bo$4bo$5bo$6bo$7bo$8bo$9bo$10bo$11bo$12bo$13bo$14bo$15bo$16b
o$17bo$18bo$19bo$20bo$21bo$22bo$23bo$24bo$25bo$26bo$14b2o11bo$17bo10b
o$15bo13bo$16bo13bo$14bo16bo$32bo$33bo$34bo$35bo$36bo$37bo$38bo$39bo$
40bo$41bo!
```

Code: Select all

```
x = 56, y = 62, rule = B3/S23
o$bo$2bo$3bo$4bo$5bo$6bo$7bo$8bo$9bo$10bo$11bo$12bo$13bo$14bo$15bo$16b
o$17bo$18bo$19bo$20bo$21bo$22bo$23bo$24bo$25bo$26bo$27bo$28bo$29bo$30b
o$15b2o14bo$18bo13bo$16bo16bo$17bo16bo$15bo19bo$36bo$37bo$38bo$39bo$40b
o$41bo$42bo$43bo$44bo$45bo$46bo$47bo$48bo$49bo$50bo9$54bo$53b2o$53bob
o!
```

I don't think that there's anything else in that category that needs to be worried about.

Fourth edit: I realized that I had forgotten about gliders (although they arguably fall into a different category).

Code: Select all

```
x = 61, y = 61, rule = B3/S23
60bo$59bo$58bo$57bo$56bo$55bo$54bo$53bo$52bo$51bo$50bo$49bo$48bo$47bo
$46bo$45bo$44bo$43bo$42bo$41bo$40bo$39bo$38bo$37bo$36bo$13b4o18bo$12b
o4bo16bo$18bo14bo$19bo12bo$31bo$30bo$29bo$28bo$27bo$26bo$25bo$24bo$23b
o$22bo$21bo$20bo$19bo$18bo$17bo$16bo$15bo$14bo$13bo$12bo$11bo$10bo$9b
o$8bo$7bo$6bo$5bo$4bo$3bo$2bo$bo$o!
```

Fifth edit: It turns out that the glider predecessor that I used for the beehive solution is a superset of a beehive predecessor.

Code: Select all

```
x = 5, y = 5, rule = DoubleB3S23
4.A$4.C$.2C$A3.C$2.C!
```

Luckily, I was able to find another glider predecessor that doesn't have that problem.

Code: Select all

```
x = 36, y = 36, rule = B3/S23
35bo$34bo$33bo$32bo$31bo$30bo$29bo$28bo$27bo$26bo$25bo$13bo10bo$10b2o
bo9bo$9bo12bo$11bo9bo$20bo$19bo$18bo$17bo$16bo$15bo$14bo$13bo$12bo$11b
o$10bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo$2bo$bo$o!
```

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