BobShemyakin wrote:mniemiec wrote:BobShemyakin wrote:You can continue with 17.1425, 17.1450, 17.1429, 17.1446, 18.4405, 18.440: ... It also affects tables 14 and 15-bit still lifes.

I specifically listed the 2 15-bit ones, because I already had syntheses for those, and I'm specifically tracking all the 15-bit ones. I only included the larger ones because those were trivial to make with 2 extra gliders. I know a 2-glider tub-to-bun converter, but the 2-glider tub-to-mango and 3-glider tub-to-bookend converters are new to me. Thanks!

[four RLEs]

(For shortening purposes, the converter in the ith group, jth row, and kth column will be referred to here as i/j/k.)

4/2/1 and 4/2/2 (both entries are the same converter) can be reduced by one:

`x = 10, y = 14, rule = B3/S23`

bobo$2b2o4bo$2bo4bo$7b3o$bo$2bo$3o4$6b2o$7bo$6bo$6b2o!

4/3/1 can also be reduced:

`x = 13, y = 12, rule = B3/S23`

8bo$6b2o$7b2o$10b2o$2o8bobo$obobo5bo$3b2o3$7b3o$7bo$8bo!

2/1/1 doesn't need the right-hand glider:

`x = 4, y = 7, rule = B3/S23`

o$obo$2o2$2bo$bobo$b2o!

2/4/3 nicely complements one of mine:

`x = 27, y = 50, rule = B3/S23`

2bo$3bo$b3o3$5bo$6bo$4b3o$24b2o$2bo20bo2bo$2b2o19b3o$bobo$7b2o14b3o$6b

o2bo13bo2bo$7b2o15b2o12$2bo$obo$b2o8$6bobo$7b2o$7bo$3b3o$5bo$4bo2$23b

2o$22bo2bo$23b3o2$7b2o14b3o$6bo2bo13bo2bo$7b2o15b2o!

1/1/1 has one that's one cheaper, but this variant is more one-sided:

`x = 23, y = 28, rule = B3/S23`

o$obo$2o2b2o$3b2o$5bo15bo$bo18bobo$obo17bobo$bo19bo11$2bo$3b2o$2b2o2b

2o$6b2o3$21bo$bo18bobo$obo17bobo$bo19bo!

4/4/1 has a variant that's one cheaper, but this one works on the other side:

`x = 9, y = 15, rule = B3/S23`

8bo$6bobo$2bo4b2o$3bo$b3o3bo$6b2o$6bobo4$3b2o$obobo$2o2bob2o$4bo2bo$5b

2o!

2/2/1 has been known for a while.