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### Re: 15 in 15: Efficient 15-bit Synthesis Project (18 SLs remain)

Posted: November 15th, 2016, 12:08 pm
9G 15.839:
`x = 47, y = 24, rule = B3/S238bo\$9b2o\$8b2o\$12bobo\$12b2o\$13bo27b2o\$7bobo31bobo\$7b2o34bo\$8bo19b2o11bob2o\$bo26b2o10bobo2bo\$2bo8bo20b2o7bo2bobo\$3o8bobo17bobo11bo\$11b2o19bo2\$28b3o\$30bo\$29bo2\$5bo\$3bobo3bo\$4b2o2b2o\$8bobo3b2o\$14bobo\$14bo!`

Possibly reducible via constellations.

### Re: 15 in 15: Efficient 15-bit Synthesis Project (18 SLs remain)

Posted: November 15th, 2016, 5:32 pm
BlinkerSpawn wrote:9G 15.839: ... Possibly reducible via constellations.

This is actually 15.855. The boat and block can be made simultaneously; unfortunately, the block is too close to the forming pi to be useful - it must be added later.

### Re: 15 in 15: Efficient 15-bit Synthesis Project (17 SLs remain)

Posted: November 16th, 2016, 12:04 pm
Reaction for 15.598:
`x = 11, y = 11, rule = B3/S238bo\$9bo\$3bo3b3o\$2bobo\$3b2o\$o7bobo\$obo4bo2bo\$2b2o3bo2bo\$2bo4bo2bo\$3bo4b2o\$4bo!`

The lower right can be easily obtained from sparking an R, and anything with an equivalent spark can go on the left.

### Re: 15 in 15: Efficient 15-bit Synthesis Project (17 SLs remain)

Posted: November 16th, 2016, 5:39 pm
`x = 11, y = 11, rule = B3/S238bo\$9bo\$3bo3b3o\$2bobo\$3b2o\$o7bobo\$obo4bo2bo\$2b2o3bo2bo\$2bo4bo2bo\$3bo4b2o\$4bo!`

The lower right can be easily obtained from sparking an R, and anything with an equivalent spark can go on the left.

14G solution (the shillelagh takes 4):

`x = 48, y = 50, rule = B3/S23bo\$2bo\$3o5\$8bo\$9bo7bo\$7b3o8bo\$16b3o4\$27bo13bo\$25b2o14bobo\$26b2o13b2o\$45bo\$44bo\$44b3o4\$24b2o\$24bobo\$26bo\$25bo\$25b2o10\$9bo\$9b2o9bo\$8bobo9b2o\$19bobo5\$18b2o\$19b2o\$18bo27bo\$45b2o\$45bobo!`

### Re: 15 in 15: Efficient 15-bit Synthesis Project (17 SLs remain)

Posted: November 17th, 2016, 12:00 am
15.934 looks like it shouldn't have been on the list to begin with:
`x = 118, y = 22, rule = B3/S2392bo\$91bo\$91b3o\$89bo\$90bo\$88b3o\$93bo\$92bo\$92b3o\$o3bo106b2o\$b2obobo45b3o31bo25bo\$2o2b2o42bo3bo34b2o22bo\$21b2o18b2o6b2o2bo7b2o23b2o3b2o18b2o\$22bo19bo5b2o12bo29bo19bo\$4bobo15bob2o16bob2o16bob2obo24bob2obo14bob2obo\$4b2o17bo2bo16bo2bo16b2ob2o19b3o3b2ob2o15b2ob2o\$5bo18bobo17bobo40bo\$25bo19bo38bo3bo\$b2o81b2o\$obo38b3o39bobo\$2bo40bo\$42bo!`

### Re: 15 in 15: Efficient 15-bit Synthesis Project (17 SLs remain)

Posted: November 17th, 2016, 12:39 am
BlinkerSpawn wrote:15.934 looks like it shouldn't have been on the list to begin with:
`x = 118, y = 22, rule = B3/S2392bo\$91bo\$91b3o\$89bo\$90bo\$88b3o\$93bo\$92bo\$92b3o\$o3bo106b2o\$b2obobo45b3o31bo25bo\$2o2b2o42bo3bo34b2o22bo\$21b2o18b2o6b2o2bo7b2o23b2o3b2o18b2o\$22bo19bo5b2o12bo29bo19bo\$4bobo15bob2o16bob2o16bob2obo24bob2obo14bob2obo\$4b2o17bo2bo16bo2bo16b2ob2o19b3o3b2ob2o15b2ob2o\$5bo18bobo17bobo40bo\$25bo19bo38bo3bo\$b2o81b2o\$obo38b3o39bobo\$2bo40bo\$42bo!`

Here it is in 12 gliders but very bulky:

`x = 86, y = 94, rule = B3/S2383bo\$82bo\$82b3o\$6bo\$7bo\$5b3o\$84bo\$83bo\$83b3o2\$3bo\$4b2o\$3b2o45\$39b2o\$40b2o\$39bo15b2o\$55bobo\$55bo5\$45bo4bo\$45b2ob2o\$44bobo2b2o8\$35b2o17bo\$36b2o15b2o\$35bo17bobo11\$78b3o\$78bo\$bo77bo\$b2o\$obo!`

### Re: 15 in 15: Efficient 15-bit Synthesis Project (15 SLs remain)

Posted: November 17th, 2016, 12:57 am
My 15.1024 synthesis from the 7th optimized by 4 gliders; now 9G:
`x = 79, y = 68, rule = B3/S2319bo\$20bo\$18b3o3\$bo\$2bo\$3o6\$36b2o\$36b2o8\$44b2o\$44bo\$44bobo\$45b2o35\$76b2o\$76bobo\$76bo3\$63bo\$62b2o\$62bobo!`

### Re: 15 in 15: Efficient 15-bit Synthesis Project (15 SLs remain)

Posted: November 17th, 2016, 6:54 am
15.578 in 11 gliders by using an easier method of construction:

`x = 39, y = 31, rule = B3/S2332bo\$31bo\$31b3o\$6bo8bo\$7b2o4bobo\$6b2o6b2o7\$29bo\$27bobo\$28b2o\$37b2o\$36b2o\$38bo2\$15b3o\$17bo3bo\$16bo2b2o10bo\$20b2o8b2o\$25b2o3bobo\$24b2o\$26bo2\$9b3o\$3o8bo\$2bo7bo\$bo!`

While doing this, I found a tail-adding mechanism.

`x = 18, y = 17, rule = B3/S233\$10b2o\$11bo\$8bo\$8b2o4b2o\$14b2o\$11b2o\$10b3o\$5bo5b2o\$5b3o6b2o\$8bo5b2o\$7bo\$7b2o!`

Is this new or useful?

### Re: 15 in 15: Efficient 15-bit Synthesis Project (15 SLs remain)

Posted: November 17th, 2016, 8:13 am
Goldtiger997 wrote:While doing this, I found a tail-adding mechanism.

`QB + beacon = tail`

I don't recognize it, but that's not saying much.
Reducible:
`x = 11, y = 12, rule = B3/S233bo\$2bobo\$2bo2bo\$3b2o4b2o\$9b2o\$6b2o\$5b3o\$o5b2o\$3o6b2o\$3bo5b2o\$2bo\$2b2o!`

Also found this:
`x = 12, y = 11, rule = B3/S234bobo\$5b2o\$5bo4b2o\$10b2o\$7b2o\$2o4b3o\$o6b2o\$b3o6b2o\$4bo5b2o\$b3o\$bo!`

(EDIT: Which does nothing in this case because that's a 4G still life and there's a 3G component that does the same thing and without the extra block)

### Re: 15 in 15: Efficient 15-bit Synthesis Project (14 SLs remain)

Posted: November 17th, 2016, 9:03 am
BlinkerSpawn wrote:15.934 looks like it shouldn't have been on the list to begin with: ...

gmc_nxtman wrote:Here it is in 12 gliders but very bulky: ...

This also reduces 11.29 to 6 gliders. Is that 4-glider add-siamese-snake converter new? I hadn't seen it before.
Goldtiger997 wrote:15.578 in 11 gliders by using an easier method of construction: ...

I wasn't aware of that 5-glider tail-added. I've added it to my collection.
Goldtiger997 wrote:While doing this, I found a tail-adding mechanism. ... Is this new or useful?

BlinkerSpawn wrote:I don't recognize it, but that's not saying much. Reducible: ...

I didn't recognize it either. The beacon can be replaced by a forming block, for the same cost as a loaf:
`x = 42, y = 24, rule = B3/S2329bo\$29bobo\$29boo\$8bo\$6bobo\$7boo9\$9bo\$oo8bo\$boo5b3o\$o4boo\$4bobo29boo\$6bo14bo15bo3bo\$19b3o15bob3o\$18bo19bo\$19bo19bo\$18boo18boo!`

BlinkerSpawn wrote:Also found this: ... (EDIT: Which does nothing in this case because that's a 4G still life and there's a 3G component that does the same thing and without the extra block)

It's still worth knowing, in case the extra block is needed, e.g. when adding an inducting snake, carrier, or eater, or a siamese snake or canoe.

### Re: 15 in 15: Efficient 15-bit Synthesis Project (14 SLs remain)

Posted: November 17th, 2016, 2:25 pm
15.751 in 14G (New converter on last step):
`x = 115, y = 15, rule = B3/S232bo55bobo\$3bo54b2o\$b3o45bo9bo\$42bo5bo\$4bobo17bo18b2o3b3o3bo3bo13b2o18b2o18b2o\$4b2o17bobo16b2o9bobobo14bobo9bo7bobo17bobo\$5bo16bobo27bobo2b3o8bob2o2bo10bo2bob2o2bo15b2o2bo\$21bobo23bo3bobo14b2obobo9b3o2b2obobo15bobobo\$3o19bo25bo3bo19bo19bo13bobo3bo\$2bo36b3o4b3o57b2o\$bo39bo44b2o\$40bo40bobo2bobo\$45bo5bo30b2o2bo\$45b2o3b2o30bo\$44bobo3bobo!`

Bob Shemyakin

### Re: 15 in 15: Efficient 15-bit Synthesis Project (14 SLs remain)

Posted: November 17th, 2016, 4:13 pm
15.1001 in fourteen gliders, via improving a known method:
`x = 36, y = 30, rule = B3/S236bo\$4bobo8bo\$5b2o7bo\$14b3o5\$6bo21b2o\$5bobo21bo\$6bo2b2o18bob2o\$10bo19bobo\$10bob2o18bob2o\$11bobo17bobobo\$32bo2\$bo\$b2o\$obo3\$3b3o9b2o\$5bo8b2o\$4bo11bo2\$9b2o\$8b2o\$10bo8b3o\$19bo\$20bo!`

EDIT: 15.960 in nine gliders:
`x = 68, y = 65, rule = B3/S2310bobo\$11b2o\$11bo11\$35b2o\$34bo2bo\$35bobo\$36bo3\$21bo\$20bo40bo\$20b3o37bobo\$61bobo\$63b3o\$21b3o38bo3bo\$21bo40b2obobo\$22bo43bo12\$20b2o\$21b2o\$20bo23b3o\$44bo\$39b2o4bo\$39bobo\$39bo18\$3o\$2bo\$bo!`

Yet another glider could be saved if an appropriate three-glider loaf producer was found that also left a bit of debris in the right place to cancel that extra block.

### Re: 15 in 15: Efficient 15-bit Synthesis Project (11 SLs remain)

Posted: November 17th, 2016, 9:57 pm
Luck (n) /lək/: When the first C1 soup you check for 15.839 gives a predecessor like this:
`x = 12, y = 10, rule = B3/S232ob2o\$2obobo\$4bo\$9b3o\$9bo\$9bo\$5bo4bo\$4bobo\$3b2ob2o\$5bo!`

Satisfaction (n) /ˌsadəsˈfakSH(ə)n/: Knowing there's only 10 SLs remaining at 1 glider/bit or above!

### Re: 15 in 15: Efficient 15-bit Synthesis Project (10 SLs remain)

Posted: November 17th, 2016, 10:45 pm
BlinkerSpawn wrote:Luck (n) /lək/: 1) When the first C1 soup you check for 15.839 gives a predecessor like this: ...

Which leads to this 8-glider synthesis:
`x = 102, y = 21, rule = B3/S2335bo\$36boo5bo\$35boo5boo\$42bobo3\$56bo19bo19bo\$55bobo17bobo17bobo\$56bobobbo14bobobbo14bobobbo\$o31bo25b4o16b4o16b4o\$boo19bo7bobo9bo14bo19bo19bo\$oo19bobo7boo8bobo13bobo17bobo17bobo\$22boo18boo14boo18boo18boo\$33b3o\$22boo11bo6boo18boo18boo\$b3o18boo10bo7boo18boo18boo\$3bo\$bbo81boo\$4b3o77bobo\$4bo79bo\$5bo!`

### Re: 15 in 15: Efficient 15-bit Synthesis Project (10 SLs remain)

Posted: November 17th, 2016, 11:49 pm
15.619 in 11 gliders:

`x = 55, y = 47, rule = B3/S23obo42bo\$b2o41bo\$bo12bo29b3o\$12bobo\$13b2o3\$14bobo32bo\$15b2o32bobo\$15bo33b2o13\$37b3o\$37bo\$38bo2\$8bo\$8b2o\$7bobo12\$6b2o\$5bobo33b3o8b3o\$7bo33bo10bo\$42bo10bo\$46b2o\$46bobo\$46bo!`

### Re: 15 in 15: Efficient 15-bit Synthesis Project (14 SLs remain)

Posted: November 18th, 2016, 12:40 am
mniemiec wrote:Is that 4-glider add-siamese-snake converter new? I hadn't seen it before.

It was initially seen here.

### Re: 15 in 15: Efficient 15-bit Synthesis Project (10 SLs remain)

Posted: November 18th, 2016, 7:17 am
Kazyan wrote:15.619 in 11 gliders

Not surprisingly, 15.891 can be made in 12 gliders using the same technique:
`x = 46, y = 52, rule = B3/S2334bo\$32b2o\$33b2o2\$29bo\$28bo\$28b3o13\$8bo\$6bobo\$7b2o19b2o\$27b2o\$9b3o17bo8bo\$11bo24b2o\$10bo26b2o\$21bo\$20bo\$5b2o13b3o\$4bobo\$6bo8\$25b2o\$24b2o\$26bo8\$b2o\$obo41b2o\$2bo40b2o\$45bo!`

### Re: 15 in 15: Efficient 15-bit Synthesis Project (10 SLs remain)

Posted: November 18th, 2016, 7:39 am
Sokwe wrote:
Kazyan wrote:15.619 in 11 gliders

Not surprisingly, 15.891 can be made in 12 gliders using the same technique:
`x = 46, y = 52, rule = B3/S2334bo\$32b2o\$33b2o2\$29bo\$28bo\$28b3o13\$8bo\$6bobo\$7b2o19b2o\$27b2o\$9b3o17bo8bo\$11bo24b2o\$10bo26b2o\$21bo\$20bo\$5b2o13b3o\$4bobo\$6bo8\$25b2o\$24b2o\$26bo8\$b2o\$obo41b2o\$2bo40b2o\$45bo!`

You would need one more glider for cleanup.

### Re: 15 in 15: Efficient 15-bit Synthesis Project (10 SLs remain)

Posted: November 18th, 2016, 11:42 am
Gamedziner wrote:
Sokwe wrote:Not surprisingly, 15.891 can be made in 12 gliders using the same technique:
`rle`

You would need one more glider for cleanup.

The twelfth glider *is* the cleanup glider; there's only eleven shown in Sokwe's synthesis.

### Re: 15 in 15: Efficient 15-bit Synthesis Project (10 SLs remain)

Posted: November 18th, 2016, 5:46 pm
BlinkerSpawn wrote:The twelfth glider *is* the cleanup glider; there's only eleven shown in Sokwe's synthesis.

Oh.

### Re: 15 in 15: Efficient 15-bit Synthesis Project (8 SLs remain)

Posted: November 18th, 2016, 6:01 pm
15.653 in thirteen gliders:
`x = 75, y = 21, rule = B3/S23obo\$b2o33b2o29b2o\$bo27bo6bobo10bo17bobo\$30b2o6bo8b2o20bo\$14b2o13b2o7b2ob2o5b2o18bob2o\$5bo8b2o23bob2o25bobobobo\$5b2o29b3o30bo3b2o\$4bobo28bo20bobo\$35b2o15b2o2b2o\$52bobo2bo\$40b2o10bo\$39bobo\$10b2o29bo\$6b2o2bobo36bo\$5bobo2bo37b2o\$7bo40bobo3\$4b2o\$3bobo\$5bo!`

### Re: 15 in 15: Efficient 15-bit Synthesis Project (8 SLs remain)

Posted: November 18th, 2016, 7:22 pm
Extrementhusiast wrote:15.653 in thirteen gliders: ...

That 14.149 synthesis is nice - I wasn't aware of it (plus the fact that it can be added to existing objects is even better). This mechanism reduces 15.901 from 13 gliders to 11:
`x = 109, y = 21, rule = B3/S2352bo\$52bobo\$52boo3\$50bo\$47bobbobo31bobo\$45bobobboo32boo\$46boo37bo\$83bo\$84bo\$82b3o\$bbo65boo18boo\$bo49bobo15bo19bo12boo\$b3o47boo13b3o17b3o3boo9bobbo\$22boo18boo8bo9boobo12bo3boobo5boo10bobobo\$bo19bobo17bobo17boboboo12boboboboo6bo10boobo\$boo19bo19bo19bo3bo10b3obbo3bo19bo\$obo53bo9bobo17bobo17bobo\$55boo10boo18boo18boo\$55bobo!`

### Re: 15 in 15: Efficient 15-bit Synthesis Project (7 SLs remain)

Posted: November 18th, 2016, 7:31 pm
15.949 in eight gliders:
`x = 40, y = 25, rule = B3/S239bobo\$10b2o\$10bo2\$15bo\$15bobo\$obo5bo6b2o\$b2o3b2o\$bo5b2o25bo\$17b2o14bobo\$16b2o16bobo\$18bo17bo\$35b2ob2o\$36bo2bo\$36bobo\$37bo4\$17b2o\$8b2o6b2o\$9b2o7bo\$8bo3b3o\$12bo\$13bo!`

Mirroring the bottom domino spark also gives 15.951 for the same cost.

EDIT: 15.942 in eleven gliders:
`x = 31, y = 21, rule = B3/S237b2o18b2o\$7bo19bo\$8bo19bo\$9bo19bo\$3b2o3b2o13b2o5bo\$3bobo17bobob3o\$4bobo19b2o\$5bo\$10b2o\$9b2o\$3o8bo\$2bo\$bo7b2o\$8bobo\$10bo4\$2b2o\$bobo\$3bo!`

EDIT 2: 15.723 in thirteen gliders:
`x = 67, y = 24, rule = B3/S2312bo\$11bo\$11b3o5bo20bo\$17b2o21bobo\$8bo9b2o20b2o\$6b2o\$4bo2b2o\$2bobo39bobo3bo\$3b2o34bo4b2o4bobo12b2o\$38bobo4bo4b2o11bo2bo\$38b2o23b2o\$o13bobo19b2o9b3o11b2o\$b2o11b2o5b3o13bo9bo14bo\$2o13bo5bo14bo11bo12bo\$22bo13bobo6bo15bobo\$37bobo4b2o16bobo\$38bo5bobo16bo5\$4b2o\$3bobo\$5bo!`

### Re: 15 in 15: Efficient 15-bit Synthesis Project (7 SLs remain)

Posted: November 18th, 2016, 8:36 pm
Extrementhusiast wrote:15.949 in eight gliders: ... Mirroring the bottom domino spark also gives 15.951 for the same cost.

A slight adjustment also reduces 14.587 from 10 to 8 gliders. (Mirroring it gives 14.585, but that could already be done from 7).
`x = 67, y = 25, rule = B3/S237bobo37bobo\$7boo38boo\$8bo39bo\$\$3bo39bo\$bobo37bobo\$bboo38boo\$15bobo37bobo\$15boo38boo\$oo14bo8boo13boo14bo8boo\$boo21bobo14boo21bobo\$o4b3o16bo15bo4b3o16bo\$7bo13booboo21bo13booboo\$6bo14bobbo21bo15bobbo\$22bobo37bobo\$23bo39bo4\$oo43boo\$boo6boo25boo6boo\$o7boo27boo7bo\$4b3o3bo25bo3b3o\$6bo33bo\$5bo35bo!`

### Re: 15 in 15: Efficient 15-bit Synthesis Project (5 SLs remain)

Posted: November 18th, 2016, 8:51 pm
Reaction for 15.849, synthesizable in no more than thirteen gliders:
`x = 76, y = 65, rule = B3/S232bo\$obo\$b2o16\$36b3o7\$34bo11b2o\$33bobo9b2o\$33bo2bo9bo\$34b2o3\$37b2o\$37b2o3\$40bo\$40bo\$40bo2\$36b3o3b3o2\$40bo\$40bo\$40bo19\$73b2o\$73bobo\$73bo!`