## 16 in 16: Efficient 16-bit Synthesis Project

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.1973 in 10 gliders:

`x = 72, y = 52, rule = B3/S237bo\$7bobo7bo\$7b2o7bo\$16b3o\$5b3o\$7bo\$6bo4\$obo\$b2o31bobo\$bo32b2o\$18b2o15bo\$18bobo\$18bo15\$47b2o\$46b2o\$48bo11\$8b2o\$7bobo\$9bo3\$2o\$b2o66b2o\$o68bobo\$69bo!`

16.944 in 13 gliders:

`x = 106, y = 47, rule = B3/S23bo\$2bo\$3o9\$17bobo\$17b2o\$18bo7\$9bobo\$9b2o\$6bo3bo7b2o\$4bobo6bo3b2o\$5b2o6bobo3bo\$13b2o5\$10bo\$10bobo\$10b2o\$4bo\$2bobo\$3b2o59bo\$65bo37bo\$44bo18b3o8bo27bobo\$43bobo27bobo25bobo\$42bobo27bobo26bobobo\$38b2o2bobobo21b2o2bobobo21b2obo2b2o\$7b2o15bo13bobobo2b2o15bo5bobobo2b2o21bob2o\$8b2o13b2o16b2o17bobo8b2o\$7bo15bobo35b2o\$64b2o\$65b2o\$64bo!`

16.943 in 15 gliders (1 soup on catalogue):

`x = 106, y = 47, rule = B3/S23bo\$2bo\$3o9\$17bobo\$17b2o\$18bo7\$9bobo\$9b2o\$6bo3bo7b2o\$4bobo6bo3b2o\$5b2o6bobo3bo\$13b2o5\$10bo\$10bobo\$10b2o\$4bo\$2bobo\$3b2o59bo\$65bo37bo\$44bo18b3o8bo27bobo\$43bobo27bobo25bobobo\$42bobo27bobo26bobobo\$38b2o2bobobo21b2o2bobobo4bobo14b2obo2bo\$7b2o15bo13bobobo2b2o15bo5bobobo2b2o4b2o15bob2o\$8b2o13b2o16b2o17bobo8b2o9bo\$7bo15bobo35b2o\$64b2o13b2o\$65b2o11b2o\$64bo15bo!`

EDIT:

`x = 13, y = 27, rule = B3/S239bo2bo\$10bobo\$10b3o3\$7bobo\$6bo2bo\$6bo3bo\$6bo2bo\$7b3o6\$b2o\$o2bo\$b2o7\$2b2o6bo\$2b2o5bobo\$10bo!`

11 gliders:

`x = 22, y = 42, rule = B3/S2315bo\$14bo\$14b3o\$6bo\$4bobo\$5b2o3\$6bo\$4bobo\$5b2o\$8bo\$8bobo\$8b2o6\$2bo\$2b2o\$bobo3\$5bo\$4b2o\$4bobo2\$2o\$b2o2bo\$o3b2o11bobo\$4bobo10b2o\$18bo2\$18b2o\$18bobo\$18bo3\$20b2o\$19b2o\$21bo!`
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 460
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 16 in 16: Efficient 16-bit Synthesis Project

Two reactions:
`x = 37, y = 59, rule = B3/S23\$34bobo\$34b2o\$35bo4\$3ob3ob3o\$2bo3bobo\$2bo3bob3o16bo\$2bo3bobobo17bo\$2bo3bob3o14b4o2bo3bo\$25b2o3b3o2bo\$30bob2o\$32bo\$32bo31\$25b3o\$25b3o\$ob3obobo15bo3bo\$o3bobobo15b2ob2o3b2o\$ob3ob3o22bo2bo\$obo5bo23b2o\$ob3o3bo2\$31bo\$30b3o\$29bo2b2o\$29b2o\$29bo!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Joined: November 8th, 2014, 8:48 pm
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### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.1143 in maybe 13G:
`x = 75, y = 54, rule = B3/S2370b2o\$67bo2bo\$31b3o28bo3bobobo2bo\$63b2ob2o2bobobo\$18bobo41b2o6bo2bo\$19b2o50b2o\$19bo15b2o22b3o\$35b2o24bo\$60bo\$32bo\$30bobo\$31b2o\$40bo\$40bobo\$40b2o2\$23bo\$23b2o\$22bobo\$34bo\$34bo\$34bo11\$b2o\$obo\$2bo17\$65b2o\$65bobo\$65bo!`

yootaa

Posts: 35
Joined: May 26th, 2016, 1:08 am
Location: Japan

### Re: 16 in 16: Efficient 16-bit Synthesis Project

`x = 37, y = 59, rule = B3/S23\$34bobo\$34b2o\$35bo4\$3ob3ob3o\$2bo3bobo\$2bo3bob3o16bo\$2bo3bobobo17bo\$2bo3bob3o14b4o2bo3bo\$25b2o3b3o2bo\$30bob2o\$32bo\$32bo31\$25b3o\$25b3o\$ob3obobo15bo3bo\$o3bobobo15b2ob2o3b2o\$ob3ob3o22bo2bo\$obo5bo23b2o\$ob3o3bo2\$31bo\$30b3o\$29bo2b2o\$29b2o\$29bo!`

16.124 in 9 gliders:

`x = 35, y = 41, rule = B3/S23obo\$b2o\$bo13\$34bo\$32b2o\$18bo14b2o\$19bo2bo\$17b3o3b2o\$22b2o4\$32bo\$32bobo\$19bobo10b2o\$20b2o\$20bo2\$20b2o\$21b2o\$20bo3\$17b3o\$19bo\$18bo\$31b2o\$31bobo\$31bo!`

yootaa wrote:16.1143 in maybe 13G:
`x = 75, y = 54, rule = B3/S2370b2o\$67bo2bo\$31b3o28bo3bobobo2bo\$63b2ob2o2bobobo\$18bobo41b2o6bo2bo\$19b2o50b2o\$19bo15b2o22b3o\$35b2o24bo\$60bo\$32bo\$30bobo\$31b2o\$40bo\$40bobo\$40b2o2\$23bo\$23b2o\$22bobo\$34bo\$34bo\$34bo11\$b2o\$obo\$2bo17\$65b2o\$65bobo\$65bo!`

16.1143 in 12 gliders:

`x = 202, y = 54, rule = B3/S23117b2o38b2o38b2o\$114bo2bo36bo2bo36bo2bo\$38b3o37b3o32bobobo2bo28bo3bobobo2bo32bobobo2bo\$8b2o103b2o2bobobo28b2ob2o2bobobo32bo2bobobo\$7b2o57bo50bo2bo28b2o6bo2bo36bo2bo\$9bo57b2o49b2o38b2o38b2o\$b3o38b2o22b2o14b2o62b3o\$bo40b2o38b2o64bo\$2bo144bo\$79bo\$2o75bobo\$b2o75b2o\$o83bo\$83bo\$83b3o\$80bo\$70b2o9b2o\$71b2o7b2o\$70bo14\$48b3o\$50bo\$49bo17\$111b3o\$111bo\$112bo!`
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 460
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.739 in 12 gliders:

`x = 86, y = 67, rule = B3/S2384bo\$83bo\$83b3o6\$bo\$2bo\$3o31\$41bobo\$41b2o13bo\$42bo13bobo\$56b2o\$40b3o\$42bo10bobo\$41bo12b2o\$54bo7bo\$62bobo\$62b2o\$65b2o\$53bo11bobo\$53b2o10bo\$52bobo\$62bo\$61b2o\$61bobo4\$45bo\$45b2o\$44bobo\$63b2o\$63bobo\$63bo!`

16.776 in 10 gliders:

`x = 53, y = 43, rule = B3/S232bo\$obo\$b2o\$50bo\$50bobo\$50b2o12\$21bo\$19b2o\$20b2o3\$11bo10bo\$12bo8bo\$10b3o8b3o3\$12bo9bo\$13bo9bo\$11b3o7b3o2\$13bo\$12b2o\$12bobo2\$23bo\$24bo\$22b3o3\$24bo\$23b2o\$23bobo!`

16.1113 in 9 gliders:

`x = 31, y = 20, rule = B3/S23obo\$b2o\$bo19bo\$22b2obobo\$21b2o2b2o\$26bo3\$18bobo\$19b2o\$19bo\$13bo\$14b2o3b2o4b2o\$13b2o3bobo3bobo\$20bo5bo\$28b2o\$28bobo\$16b2o10bo\$17b2o\$16bo!`

16.1928 in 10 gliders:

`x = 64, y = 61, rule = B3/S236bo\$7bo7bo\$5b3o7bobo\$15b2o\$3b2o\$2bobo10bo\$4bo11bo2bo\$14b3obo\$18b3o3\$18bo\$18bobo\$18b2o\$4bo16b2o\$4bobo14bobo\$3ob2o15bo\$2bo\$bo40\$62bo\$61b2o\$61bobo!`

16.2186 in 10 gliders:

`x = 41, y = 33, rule = B3/S23bo\$2bo\$3o8\$28bobo\$29b2o\$29bo2\$18bo\$17bo\$17b3o\$15bo22b3o\$13bobo22bo\$14b2o17bo5bo\$32b2o\$32bobo\$14b3o\$16bo\$15bo3\$19b3o\$21bo\$20bo3b3o\$26bo5b2o\$25bo6bobo\$32bo!`
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 460
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 16 in 16: Efficient 16-bit Synthesis Project

Goldtiger997 wrote:16.739 in 12 gliders:

` rle`

16.776 in 10 gliders:

`x = 53, y = 43, rule = B3/S232bo\$obo\$b2o\$50bo\$50bobo\$50b2o12\$21bo\$19b2o\$20b2o3\$11bo10bo\$12bo8bo\$10b3o8b3o3\$12bo9bo\$13bo9bo\$11b3o7b3o2\$13bo\$12b2o\$12bobo2\$23bo\$24bo\$22b3o3\$24bo\$23b2o\$23bobo!`

16.1113 in 9 gliders:

`rle`

16.1928 in 10 gliders:

`x = 64, y = 61, rule = B3/S236bo\$7bo7bo\$5b3o7bobo\$15b2o\$3b2o\$2bobo10bo\$4bo11bo2bo\$14b3obo\$18b3o3\$18bo\$18bobo\$18b2o\$4bo16b2o\$4bobo14bobo\$3ob2o15bo\$2bo\$bo40\$62bo\$61b2o\$61bobo!`

16.2186 in 10 gliders:

`rle`

Good work!
However, syntheses 16.776 and 16.1928 crept errors. In both cases interact marked gliders:
`x = 81, y = 131, rule = B3/S232bo\$obo\$b2o\$50bo\$50bobo\$50b2o12\$21bo\$19b2o\$20b2o3\$11bo10bo\$12bo8bo\$10b3o8b3o3\$12bo9bo\$13bo9bo\$11b3o7b3o2\$13bo\$12b2o\$12bobo56b2o\$16bo53bobo\$18bo4bo45bo\$20bo3bo43bob2o\$22b3o43bobobo\$67b2obobo\$71bo\$24bo\$23b2o\$23bobo28\$11bo\$12bo7bo\$10b3o7bobo\$20b2o\$8b2o\$7bobo10bo\$9bo11bo2bo\$19b3obo\$23b3o49bo\$27bo46bobo\$74bobo\$23bo3bo47bob2o\$23bobo51bobo\$23b2o52bobo\$9bo16b2o48b2ob2o\$9bobo14bobo\$5b3ob2o15bo\$7bo\$6bo40\$67bo\$66b2o\$66bobo!`

And if in the first case it is worth 1 glider:
`x = 126, y = 43, rule = B3/S2358bo\$59bo\$57b3o\$100bo\$99bo\$99b3o13\$69bobo\$69b2o\$bo68bo\$2bo\$3o\$68bo2bo\$66bobo2bobo\$16bo50b2o2b2o\$16bobo\$11b3o2b2o16b2o28b2o\$13bo20bobo27bobo\$12bo22bo29bo\$45bo29bo48b2o\$45bo29bo47bobo\$10bo34bo29bo46bo\$9b2o110bob2o\$9bobo109bobobo\$19bo100b2obobo\$18bo105bo\$18b3o26b2o28b2o\$47b2o28b2o2\$21b3o\$21bo\$22bo!`

In the second case it is enough to push all the gliders, except two (of which it turns out block):
`x = 77, y = 63, rule = B3/S236bo\$7bo9bo\$5b3o9bobo\$17b2o2\$15bo\$3b2o11bo4bo\$2bobo9b3o3bo\$4bo15b3o\$71bo\$70bobo\$70bobo\$19bo51bob2o\$19bobo51bobo\$6bo12b2o52bobo\$6bobo13b2o48b2ob2o\$6b2o14bobo\$22bo\$3o\$2bo\$bo40\$64bo\$63b2o\$63bobo!`

Bob Shemyakin
BobShemyakin

Posts: 211
Joined: June 15th, 2014, 6:24 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

BobShemyakin wrote:Good work!
However, syntheses 16.776 and 16.1928 crept errors. In both cases interact marked gliders:
`x = 81, y = 131, rule = B3/S232bo\$obo\$b2o\$50bo\$50bobo\$50b2o12\$21bo\$19b2o\$20b2o3\$11bo10bo\$12bo8bo\$10b3o8b3o3\$12bo9bo\$13bo9bo\$11b3o7b3o2\$13bo\$12b2o\$12bobo56b2o\$16bo53bobo\$18bo4bo45bo\$20bo3bo43bob2o\$22b3o43bobobo\$67b2obobo\$71bo\$24bo\$23b2o\$23bobo28\$11bo\$12bo7bo\$10b3o7bobo\$20b2o\$8b2o\$7bobo10bo\$9bo11bo2bo\$19b3obo\$23b3o49bo\$27bo46bobo\$74bobo\$23bo3bo47bob2o\$23bobo51bobo\$23b2o52bobo\$9bo16b2o48b2ob2o\$9bobo14bobo\$5b3ob2o15bo\$7bo\$6bo40\$67bo\$66b2o\$66bobo!`

And if in the first case it is worth 1 glider:
`x = 126, y = 43, rule = B3/S2358bo\$59bo\$57b3o\$100bo\$99bo\$99b3o13\$69bobo\$69b2o\$bo68bo\$2bo\$3o\$68bo2bo\$66bobo2bobo\$16bo50b2o2b2o\$16bobo\$11b3o2b2o16b2o28b2o\$13bo20bobo27bobo\$12bo22bo29bo\$45bo29bo48b2o\$45bo29bo47bobo\$10bo34bo29bo46bo\$9b2o110bob2o\$9bobo109bobobo\$19bo100b2obobo\$18bo105bo\$18b3o26b2o28b2o\$47b2o28b2o2\$21b3o\$21bo\$22bo!`

In the second case it is enough to push all the gliders, except two (of which it turns out block):
`x = 77, y = 63, rule = B3/S236bo\$7bo9bo\$5b3o9bobo\$17b2o2\$15bo\$3b2o11bo4bo\$2bobo9b3o3bo\$4bo15b3o\$71bo\$70bobo\$70bobo\$19bo51bob2o\$19bobo51bobo\$6bo12b2o52bobo\$6bobo13b2o48b2ob2o\$6b2o14bobo\$22bo\$3o\$2bo\$bo40\$64bo\$63b2o\$63bobo!`

Bob Shemyakin

Sorry about those mistakes, and thanks for noticing them!

Using a different 3-glider collision to make the block and blinker moves 16.776 back to 10 gliders:

`x = 57, y = 42, rule = B3/S23bo\$2bo\$3o\$55bo\$54bo\$54b3o13\$24bobo\$24b2o\$25bo3\$11bo14bo\$9bobo14bobo\$10b2o14b2o5\$14bo\$15bo\$13b3o\$33bobo\$15bo18b2o\$14b2o18bo\$14bobo19bo\$36b2o\$35bobo\$24bo\$24b2o\$23bobo!`

EDIT: whoops, another error! anyway, AbhpzTa improved this to a better 9G synthesis below
Last edited by Goldtiger997 on February 25th, 2017, 3:21 am, edited 1 time in total.
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 460
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 16 in 16: Efficient 16-bit Synthesis Project

Goldtiger997 wrote:Using a different 3-glider collision to make the block and blinker moves 16.776 back to 10 gliders:

`x = 57, y = 42, rule = B3/S23bo\$2bo\$3o\$55bo\$54bo\$54b3o13\$24bobo\$24b2o\$25bo3\$11bo14bo\$9bobo14bobo\$10b2o14b2o5\$14bo\$15bo\$13b3o\$33bobo\$15bo18b2o\$14b2o18bo\$14bobo19bo\$36b2o\$35bobo\$24bo\$24b2o\$23bobo!`

ERROR: but correctable trivially.

9 gliders:
`x = 25, y = 37, rule = B3/S23o\$b2o\$2o9\$19bo\$18bo\$18b3o4\$9bobo8bobo\$10b2o8b2o\$10bo10bo3\$20bobo\$21b2o\$21bo\$9b2o\$8bobo\$10bo\$12b2o\$12bobo\$12bo8bobo\$22b2o\$22bo2\$22b2o\$22bobo\$22bo!`

EDIT:
Goldtiger997 wrote:16.739 in 12 gliders:
`x = 86, y = 67, rule = B3/S2384bo\$83bo\$83b3o6\$bo\$2bo\$3o31\$41bobo\$41b2o13bo\$42bo13bobo\$56b2o\$40b3o\$42bo10bobo\$41bo12b2o\$54bo7bo\$62bobo\$62b2o\$65b2o\$53bo11bobo\$53b2o10bo\$52bobo\$62bo\$61b2o\$61bobo4\$45bo\$45b2o\$44bobo\$63b2o\$63bobo\$63bo!`

11 gliders:
`x = 108, y = 66, rule = B3/S2393bo\$93bobo\$93b2o6\$12bo\$10bobo\$11b2o30\$bobo\$b2o48bo\$2bo47bobo\$50b2o\$3o61bobo\$2bo11bo10bo38b2o\$bo11bo11bobo37bo40b2o\$13b3o9b2o78bobo\$22b2o40b2o5b2o31bobo\$13bo8bobo38bobo5b2o31bo\$13b2o7bo41bo38b2obo\$12bobo87bo2bobo\$102b2o2bo8\$55b2o\$56b2o\$55bo\$72b3o\$72bo\$73bo!`
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa

Posts: 441
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.738 in 11 gliders:

`x = 30, y = 40, rule = B3/S233bo\$4b2o\$3b2o3\$27bo\$27bobo\$27b2o17\$9bo\$10b2o\$9b2o\$17bo\$17bobo\$4bo12b2o\$4bobo\$3ob2o\$2bo\$bo9bo10b2o\$10bo10bobo\$7b2ob3o10bo\$6bobo8b2o\$8bo7bobo5b2o\$18bo5bobo\$24bo!`
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 460
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.51 in 12G:
`x = 153, y = 27, rule = B3/S2374bobo\$74b2o\$75bo4\$3bo\$4b2o38bo\$3b2o38bo\$43b3o\$bo26bo29bo\$b2o25bo29bo\$obo25bo13b3o13bo56bo\$42bo73bo\$43bo39b2o3bo2b2o21b3o6b2o3bo2b2o10b2o3bo2b2o\$83bobobobo2bo30bobobobo2bo10bobobobo2bo\$86b2ob2o35b2ob2o14bobob2o\$116b3o26b2o\$118bo\$117bo\$65b2o\$64b2o39b2o\$66bo39b2o\$76b2o27bo16b3o\$36bo39bobo43bo\$36b2o38bo46bo\$35bobo!`

16.1109 in 13G:
`x = 209, y = 137, rule = B3/S23149bobo\$149b2o\$150bo56\$106bo\$105bo\$105b3o18\$bo\$2bo\$3o10\$63bobo\$63b2o\$64bo27\$185bo\$186bo\$184b3o\$188bo\$188bobo\$26bo161b2o\$26bobo\$20bobo3b2o8bo122b2o23b2o17b2o\$20b2o12b2o121bo2bo21bo2bo16bo2bo\$21bo13b2o119bob2o21bob2o16bob2o\$24b2o12b3o116bo24bo19bo\$23b2o6bo6bo119b4obo19b4obo14b4obo\$25bo4bo8bo120bob2o21bob2o16bob2o\$30b3o2\$27b3o\$27bo\$28bo!`

16.2156 in 13G:
`x = 111, y = 21, rule = B3/S2389bobo\$90b2o\$80bo9bo3bo\$81bo12bobo\$79b3o12b2o2\$obo91bo\$b2o2bo87b2o\$bo3bobo85bobo\$5b2o4bo95b2o\$9b2o15b2o18b2o18b2o18b2o20bo\$10b2o15bo19bo19bo19bo19bo\$13b2o12bobo17bobo6bo10bobo17bobo17bobo\$6bo6bobo9b2ob2o15b2ob2o6bobo6b2obobo14b2obobo14b2obobo\$5bo7bo10bobo17bobo9b2o6bobo2bo14bobo2bo14bobo2bo\$5b3o16bobo17bobo6b2o9bobo17bobo17bobo\$25bo19bo6b2o11bo19bo19bo\$54bo\$6b2o40b2o\$6bobo38bobo\$6bo42bo!`

Bob Shemyakin
BobShemyakin

Posts: 211
Joined: June 15th, 2014, 6:24 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

I finally got around to pushing an update. Here are the improvements since last time. Shout if I missed anything.

`+16.131     xs16_660uhar             19+16.875     xs16_4a5pa4z2521         17+16.740     xs16_3l2s53z121          15+16.943     xs16_gilla4z56           15+16.1112    xs16_0gs2arz6421         15+15.455     xs15_2l2s53z121          13+16.944     xs16_gjlka4z56           13+16.1143    xs16_ciligozw4a4         12+16.157     xs16_330fhar             11+16.738     xs16_3lka96z121          11+16.739     xs16_2l2s53z321          11+16.1928    xs16_c88q552z311         10+16.1973    xs16_0ggm9icz1243        10+16.2186    xs16_wml1e8z643          10+16.124     xs16_69ari96             9+16.776     xs16_2llm853z01          9+16.1113    xs16_0gs2arz3421         9`

Here is the list of 16 bit SL without synthesis in 15G sorted by Catagolue frequency

`16.149     xs16_5b8ri96                             17  468516.202     xs16_354cgn96                            27  461216.657     xs16_695q4ozw321                         16  440316.800     xs16_c8al96z311                          19  417216.645     xs16_caikm96zw1                          16  399316.131     xs16_660uhar                             19  370216.1706    xs16_2ege9a4zw23                         999 365516.663     xs16_69r4koz023                          999 266116.1701    xs16_4a9jc4ozx121                        999 242516.1856    xs16_39u06a4z32                          16  240816.626     xs16_69n8jdzx1                           999 228216.1739    xs16_g88r2qkz121                         20  221916.1716    xs16_4a9mk46zx121                        999 217416.1880    xs16_259q453z032                         25  197516.665     xs16_699mkiczx1                          18  185716.829     xs16_0md1e8z1226                         23  147516.142     xs16_5b8raic                             999 146516.641     xs16_c9baiczw32                          999 142916.748     xs16_39ege2z321                          17  137216.799     xs16_c8al56z311                          17  117616.642     xs16_6s1raa4zw1                          53  110116.228     xs16_178bp2sg                            20  104716.159     xs16_2egmd1e8                            21  96016.765     xs16_4ap78cz321                          999 92616.686     xs16_mkkb2acz1                           39  90316.152     xs16_5b8r9ic                             999 89716.2309    xs16_8kk31e8z641                         21  77916.846     xs16_caab8oz0252                         999 68416.1696    xs16_4a9mk4ozx121                        17  63916.19      xs16_caarz39c                            18  50516.810     xs16_ca9la4z311                          16  47116.1992    xs16_25is0cczw65                         16  47016.1881    xs16_259q453zw32                         19  43316.813     xs16_c4lb8oz321                          999 42516.834     xs16_8u15a4z1226                         25  42216.691     xs16_co2ticz23                           999 41916.774     xs16_69raa4z32                           21  41916.1863    xs16_4aq32acz32                          17  38116.360     xs16_2egu16413                           16  36016.848     xs16_ca9b8oz0252                         18  35916.2014    xs16_25a8kk8z0253                        17  34016.717     xs16_31kmp3z032                          33  33716.827     xs16_ciaj2ak8zw1                         999 32916.1717    xs16_4aajk46zx121                        999 32816.995     xs16_0raik8z643                          16  32016.1722    xs16_4aq32acz032                         17  30716.1940    xs16_c48q552z321                         999 28116.716     xs16_3pmk46zx23                          32  27216.265     xs16_259m861ac                           17  27016.1757    xs16_g8idik8z123                         18  26716.2060    xs16_69akg4czx56                         16  26016.1773    xs16_ciarzx3213                          999 25916.1703    xs16_4a9la8ozx121                        999 25016.647     xs16_8k4r2pmzw1                          999 24116.153     xs16_4a9r8jd                             999 22716.18      xs16_caarzbd                             19  20816.1684    xs16_4aab9k8zx32                         19  16316.2174    xs16_08u164koz32                         27  16016.1768    xs16_mk461acz121                         17  15716.353     xs16_321fgc453                           23  15516.1740    xs16_69acga6zx32                         23  15516.668     xs16_gbq1daz121                          17  15216.2503    xs16_ckl3zx32ac                          999 14716.1990    xs16_8e1tazx1252                         18  14316.144     xs16_4aar2pm                             999 14116.1857    xs16_39u0652z32                          16  14116.243     xs16_2egu16426                           16  13816.2018    xs16_25a8c826zw33                        18  12516.819     xs16_ra178cz23                           999 12016.619     xs16_j9ajkcz11                           999 12016.126     xs16_69ir9ic                             999 11716.822     xs16_8ehikozw56                          16  11216.2445    xs16_ciligzx254c                         16  10516.1787    xs16_069m4koz311                         16  10416.1699    xs16_8e13kkozx32                         999 9916.953     xs16_0cil56z6221                         16  9816.1991    xs16_8e1qbzx1252                         17  9716.1929    xs16_0g5r8b5z121                         16  9416.213     xs16_35861tic                            23  8916.15      xs16_178c1f84c                           17  8316.2295    xs16_0g8go8brz23                         24  7416.1755    xs16_696o8a6z032                         999 7316.921     xs16_ghn831e8z1                          16  7316.155     xs16_3pabp46                             18  7216.634     xs16_ca9diczw32                          999 7116.1694    xs16_4a5p6o8zx121                        19  6516.2347    xs16_g8861acz0db                         28  6416.628     xs16_kc32qkz0113                         28  6216.1847    xs16_39c8a52z033                         17  6216.1954    xs16_8kk31e8z065                         21  6116.731     xs16_3iajkcz23                           28  5716.836     xs16_4aajkczx56                          20  5716.833     xs16_0mp2sgz1243                         20  5616.616     xs16_i5pajoz11                           17  5316.640     xs16_c9bkkozw32                          999 4916.801     xs16_08eharz321                          19  4316.1904    xs16_8u164koz32                          32  4116.1743    xs16_696o8a6zw32                         999 3916.795     xs16_c87p46z311                          53  3916.230     xs16_178jd2ko                            19  3916.927     xs16_4akgf9zw65                          18  3816.2132    xs16_0g8it2sgz23                         17  3816.804     xs16_c871arzx32                          999 3616.313     xs16_3pm44og4c                           35  3616.1754    xs16_695m88czx23                         999 3516.1691    xs16_4a9l6o8zx121                        999 3516.1106    xs16_0iu0dbz641                          25  3516.2201    xs16_0ggml96z641                         18  3216.442     xs16_0cai3z4aip                          17  3216.1304    xs16_0okih3zc8421                        16  3216.312     xs16_62s53zbd                            29  3116.1391    xs16_ca168ozc8421                        16  3116.1976    xs16_g8861acz1156                        999 2916.929     xs16_3iaj2ak8zw1                         999 2816.2541    xs16_g8861aczc93                         28  2816.1994    xs16_0g9fgka4z121                        16  2816.1846    xs16_25a8c93zw33                         23  2716.623     xs16_o5r8jdz01                           27  2316.227     xs16_5b8r5426                            17  2316.856     xs16_kc32acz1252                         16  2316.914     xs16_8kkja952zx1                         18  2216.1791    xs16_03lkaa4z3201                        20  1916.1096    xs16_ckjaa4z641                          18  1916.1702    xs16_4a5p68ozx121                        23  1816.1464    xs16_08o696z6ip                          16  1816.706     xs16_39s0qmz023                          24  1716.1766    xs16_kc321e8z123                         16  1716.101     xs16_0c9jzi5dz11                         21  1516.621     xs16_g5r8jdz11                           25  1416.723     xs16_i5p64koz11                          20  1416.350     xs16_312461tic                           16  1416.2219    xs16_0oe12koz643                         16  1416.1962    xs16_4a9eg8ozw65                         999 1316.1723    xs16_4ap64koz032                         999 1316.2820    xs16_wmk4871z643                         25  1316.1034    xs16_3lkaa4z065                          24  1316.915     xs16_0gs2pmz1243                         20  1216.1790    xs16_178cia4z0321                        18  1216.803     xs16_c9bk46z311                          17  1216.278     xs16_32qj43146                           29  1116.1323    xs16_031e8gzc9311                        29  1116.786     xs16_3pa3ia4zw11                         28  1116.724     xs16_j5o64koz11                          16  1116.177     xs16_25b8r54c                            16  1116.1758    xs16_4a4o796zw121                        17  1016.996     xs16_2lm853z056                          16  916.2546    xs16_j9cz122c84c                         16  916.2542    xs16_g88c871zc93                         16  916.682     xs16_69j0j9czx11                         999 816.1018    xs16_3p6o8ge2zw1                         27  816.3163    xs16_wo443123zbd                         17  816.1115    xs16_08kaarz6221                         17  816.838     xs16_ci9b8ozw56                          16  816.2302    xs16_4ap6413z65                          16  816.695     xs16_5b8bl8zx32                          25  716.872     xs16_2lla8oz065                          20  716.1995    xs16_cik8a52z065                         18  716.1127    xs16_giligoz104a4                        32  616.1680    xs16_8e123ckzx311                        17  616.2630    xs16_31e8gzxo9a6                         16  616.2322    xs16_raak8zx1252                         16  616.147     xs16_32qjap3                             32  516.3227    xs16_31e8gzy012ego                       27  516.1753    xs16_695q4gozw23                         21  516.772     xs16_3h4e1daz011                         16  516.2547    xs16_j9cz122c826                         16  516.151     xs16_64kr2pm                             999 416.778     xs16_69la8oz321                          36  416.591     xs16_1784cggc4go                         27  416.713     xs16_o8bap3z23                           24  416.3066    xs16_4a9jzx12ego                         23  416.926     xs16_3iajc4gozw1                         21  416.2058    xs16_69akg4czx146                        20  416.106     xs16_31246116853                         17  416.2805    xs16_0gs2c871z641                        16  416.2029    xs16_25ao4a4z2521                        16  416.1967    xs16_o86178cz056                         16  416.890     xs16_696ki6zw641                         999 316.889     xs16_696ki6zx65                          999 316.1861    xs16_4ap64koz32                          999 316.1685    xs16_c48n98czx23                         999 316.842     xs16_cila8oz065                          34  316.354     xs16_35s26zbd                            29  316.828     xs16_4alhe8z0641                         28  316.358     xs16_321fgc2ko                           19  316.1911    xs16_69q3213z32                          18  316.1107    xs16_02egdbz2521                         18  316.1105    xs16_gie0dbz146                          18  316.1882    xs16_259m453zx23                         17  316.1867    xs16_069q453z311                         17  316.762     xs16_jhke1e8z1                           16  316.2305    xs16_6413ia4z6421                        16  316.2030    xs16_0i5q8a52z121                        16  316.1710    xs16_4a9bk46zx32                         16  316.1080    xs16_3lo0kcz3421                         16  316.2096    xs16_wck5b8oz311                         999 216.1094    xs16_cila8oz641                          40  216.349     xs16_35s26z39c                           35  216.220     xs16_3123qajo                            29  216.1901    xs16_08obap3z32                          25  216.300     xs16_9fg4czbd                            23  216.875     xs16_4a5pa4z2521                         17  216.380     xs16_4a40vh248c                          17  216.840     xs16_c8idiczw56                          16  216.771     xs16_69qb8oz32                           16  216.2862    xs16_08u16413z65                         16  216.2204    xs16_0gilla4z641                         16  216.1720    xs16_4a4o79ozx121                        16  216.1675    xs16_xj96z0mdz32                         16  216.2784    xs16_woe12koz6221                        999 116.1979    xs16_4ap30ga6zw121                       999 116.1970    xs16_ckw3lozw1243                        999 116.1682    xs16_8k9bkk8zw23                         999 116.712     xs16_3pc0qmzw23                          48  116.1721    xs16_64kb2acz032                         35  116.218     xs16_3pajc48c                            33  116.185     xs16_32qk5b8o                            30  116.930     xs16_3iaj21e8zw1                         25  116.825     xs16_4alhe8zw65                          25  116.1064    xs16_39m88cz6221                         24  116.2313    xs16_08u16853z32                         23  116.1073    xs16_3lkaa4z641                          20  116.745     xs16_39qb8oz32                           19  116.2162    xs16_0at16426z32                         19  116.2050    xs16_6ik8a52z065                         19  116.1912    xs16_at16426z32                          19  116.2480    xs16_3iaczw1139c                         18  116.2447    xs16_0g8it248cz23                        18  116.2025    xs16_069q48cz2521                        18  116.1711    xs16_c8idik8z023                         18  116.843     xs16_4a9liczx56                          17  116.3164    xs16_wo443146zbd                         17  116.3134    xs16_c9jzw122c826                        17  116.2861    xs16_ol3zw343146                         17  116.2694    xs16_4ai3gzx11mq                         17  116.1715    xs16_64p784czw23                         17  116.593     xs16_3123c48gka4                         16  116.2699    xs16_08o6413zrm                          16  116.2460    xs16_0o861aczc452                        16  116.2317    xs16_cik8a52z641                         16  116.1864    xs16_31ke1e8z032                         16  116.1085    xs16_3h4e12koz011                        16  116.104     xs16_0j5ozj4pz11                         16  1`
chris_c

Posts: 861
Joined: June 28th, 2014, 7:15 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

chris_c wrote:I finally got around to pushing an update. Here are the improvements since last time. Shout if I missed anything.

Has anyone written a script yet that lets you pick an apgcode from this list, looks up all the relevant links in Golly, downloads all the soups, figures out where the still life is going to appear in each soup, marks the location with LifeHistory state 4, and fast-forwards the pattern to say a couple hundred ticks before the still life will appear?

Seems like something like that would be useful...

dvgrn
Moderator

Posts: 4977
Joined: May 17th, 2009, 11:00 pm

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.1706 in 7 gliders:
`x = 93, y = 20, rule = B3/S2364bo\$62b2o\$63b2o2\$o\$b2ob2o26bo29bo\$2o2bobo24bobo27bobo\$4bo27b2o28b2o2\$90bo\$59bo26b2obobo\$57bobo27bobo2bo\$50bo7b2o27bob3o\$51bo2b2o32bo\$49b3obobo33bo\$55bo32b2o2\$47bo\$47b2o\$46bobo!`

EDIT: Reduced to 6:
`x = 17, y = 20, rule = B3/S237bo\$5bobo\$6b2o6bobo\$14b2o\$15bo2\$6bo\$6b2o\$5bobo5\$7bobo\$7b2o\$2o6bo\$b2o\$o7b3o\$10bo\$9bo!`
Last edited by AbhpzTa on March 13th, 2017, 12:49 pm, edited 1 time in total.
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa

Posts: 441
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.149 in 8 gliders:

`x = 48, y = 78, rule = B3/S23bo\$2bo\$3o18\$25bo\$26b2o\$25b2o13\$29b2o\$30b2o\$29bo3\$26b2o\$27b2o17b2o\$26bo16bob2o\$41bobo3bo\$42b2o2\$42bo\$41b2o\$41bobo27\$10b2o\$9bobo\$11bo!`
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 460
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 16 in 16: Efficient 16-bit Synthesis Project

some components:

16.101
`x = 8, y = 18, rule = B3/S232o\$2o4\$3b2o\$3b3o\$3b2o4\$b2o\$b2o2b2o\$5bobo\$5bobo\$6b2o\$b2o\$b2o!`

16.645
`x = 13, y = 23, rule = B3/S233b2o\$2bobo\$2b2o9\$8b2o\$8b2o\$3o\$o2bo\$b3o3\$10bo\$9bobo\$8b2ob2o\$8b2obo\$9b2o!`

16.800
`x = 17, y = 28, rule = B3/S239bo\$8bobo\$8bobo\$9bo\$13b3o\$13bo2bo\$14b3o8\$15b2o\$8b3o4b2o10\$b2o\$obo\$2bo!`

16.1018
`x = 25, y = 17, rule = B3/S233b2o\$2bo2bo8b2o\$3bobo8b2o\$4bo7\$b2o15b2o\$o2bo14bo2bo\$o2bo15b3o\$b2o18bo3\$22b3o!`

16.1034
`x = 15, y = 31, rule = B3/S2310bo\$10bo\$b2o7bo\$o2bo\$b2o3b3o3b3o2\$10bo\$10bo\$10bo10\$8bo\$8b2o\$7bobo\$8bo\$3bo\$2b3o5\$12bo\$12bo\$12bo!`

16.1096
`x = 16, y = 22, rule = B3/S23bo\$obo\$obo\$bo5\$6b3o\$6bo\$7b3o\$9bo4b2o\$14b2o2\$13bo\$12bobo2\$12b3o3\$13b2o\$13b2o!`

yootaa

Posts: 35
Joined: May 26th, 2016, 1:08 am
Location: Japan

### Re: 16 in 16: Efficient 16-bit Synthesis Project

yootaa wrote:some components:

16.101
`x = 8, y = 18, rule = B3/S232o\$2o4\$3b2o\$3b3o\$3b2o4\$b2o\$b2o2b2o\$5bobo\$5bobo\$6b2o\$b2o\$b2o!`

...

A lot of nice components there. However, in a lot of them still-lifes can be replaced by gliders.

16.101 in 10 gliders:

`x = 100, y = 32, rule = B3/S2353bobo\$54b2o\$54bo\$87bo\$85b2o\$86b2o3\$74bobo\$74b2o\$64bo10bo\$65bo\$63b3o32b2o\$79bo19bo\$78bo18bo\$78b3o16b2o\$99bo\$97b2o\$bobo92bo\$b2o94b2o\$2bo95bo\$35b2o28b2o29bo\$35b2o28b2o8bobo18b2o\$75b2o\$76bo\$obo\$b2o32b2o28b2o6b3o\$bo33b2o28b2o6bo\$74bo\$b2o\$obo\$2bo!`
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 460
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.177 in 15G:
`x = 137, y = 30, rule = B3/S2358bobo\$59b2o14bo\$59bo16b2o\$52bo22b2o\$50bobo\$51b2o2b2o\$54bobo18bo\$obo34bo18bo10bo6b2o17b2o18b2o18b2o\$b2o33bobo27bobo5bobo17bo19bo19bo\$bo13bo20bobo27bobo25bobo17bobo17bobo\$16bo17b2obo26b2obo24b2ob2o15b2ob2o15b2ob2o\$14b3o18bo29bo27bo19bo19bo\$35bobo27bobo25bob2o16bob2o16bob2o\$36b2o28b2o26bobo17bobo17bobo\$15bo119bo\$14b2o\$14bobo\$19b3o\$19bo58bo\$7b2o11bo44b2o10b2o\$6bobo57b2o9bobo\$8bo52bo3bo\$61b2o\$60bobo48bo\$110bo\$110b3o2\$111bo\$110b2o\$110bobo!`

16.591 in 11G:
`x = 96, y = 31, rule = B3/S2373bobo\$73b2o\$2bo13bo57bo\$obo12bo\$b2o12b3o3\$26bo29bo34bo\$9bo16b3o27b3o32b3o\$9b2o2b2o14bo29bo34bo\$8bobo2bobo12bo29bo34bo\$13bo14b2o28b2o6bo26b2o\$66bobo26bo\$66b2o27bo\$48bo44b2o\$49b2o42bo\$48b2o45bo\$94b2o\$47bo\$46b2o24bo\$46bobo22b2o5bo\$71bobo3b2o\$77bobo6\$57b2o\$56b2o\$58bo!`

16.717 in 14G:
`x = 194, y = 29, rule = B3/S2339bo\$40bo\$38b3o\$101bo\$102bo\$100b3o2\$103b2o\$77bobo23b2o\$77b2o\$78bo2\$bo3bo160bo\$2bobo97b2o28b2o18b2o11bo21b2o\$3ob3o54b2ob2o36bo4b2o23bo4b2o13bo4b2o6b3o19bo4b2o\$61b2ob2o38bobobo25bobobo15bobobo30bobobo\$103b3o11b2o14b3o17b3o32b2obo\$74bo27bo13bobo13bo19bo10b3o21bo2b2o\$75b2obo23b2o13bo2b3o9b2o18b2o9bo23b2o\$74b2o2bobo39bo43bo\$78b2o41bo\$25bo58bo90b2o\$24bo59bo89b2o\$24b3o57bo72b3o16bo\$159bo\$158bo\$24b2o\$24bobo\$24bo!`

16.921 in 8G:
`x = 74, y = 20, rule = B3/S233bo\$4bo9bobo9bo19bo24bo\$2b3o9b2o8b3o17b3o22b3o\$15bo7bo19bo24bo\$23b2o18b2o10bo12b2o\$2o53bobo13bo\$b2o20b4o16b4o8b2o11b3obo\$o22bo2bo16bo2bo21bo3bo\$72b2o\$52bo\$51b2o\$9b2o36b2o2bobo\$8b2o36bobo\$10bo37bo4\$4bo\$4b2o\$3bobo!`

Bob Shemyakin
BobShemyakin

Posts: 211
Joined: June 15th, 2014, 6:24 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

All of these are from yootaa's components.

16.645 in 10 gliders:

`x = 55, y = 48, rule = B3/S2317bo\$17bobo\$17b2o14\$16bo\$15bo\$15b3o\$13bo\$14bo\$12b3o4\$b2o\$obo\$2bo10bo\$12b2o\$12bobo3\$15b2o\$14b2o\$16bo\$12b2o\$11bobo6b2o\$13bo6bobo18b2o\$20bo20bobo\$41bo6\$52b2o\$52bobo\$52bo!`

16.800 in 8 gliders:

`x = 100, y = 30, rule = B3/S2364bo\$65bo\$63b3o2\$60b3o4bo\$62bo5b2o\$61bo5b2o3bo\$71bo\$5bo65b3o\$6bo\$4b3o\$8bo\$8b2o\$7bobo87b2o\$bo94bo2bo\$b2o32bo5b2o22bo5b2o22bobobo\$obo32bo5b2o22bo5b2o21bobobo\$35bo29bo28bobo\$93b2ob2o9\$56bo\$56b2o\$55bobo!`

16.1018 in 10 gliders:

`x = 41, y = 36, rule = B3/S2340bo\$38b2o\$39b2o6\$17bo\$15bobo\$16b2o2\$17b3o\$17bo\$18bo3\$38bo\$obo33b2o\$b2o34b2o\$bo2\$13bobo11bo\$14b2o10bo\$14bo11b3o\$30b3o\$13b2o15bo\$12bobo16bo\$14bo5\$38b3o\$38bo\$39bo!`

16.1034 in 12 gliders:

`x = 62, y = 65, rule = B3/S2360bo\$59bo\$59b3o12\$33bo\$34bo\$32b3o\$37bo\$26b2o7b2o\$25bobo8b2o\$27bo\$29b2o\$29bobo\$29bo9\$36bobo\$36b2o\$37bo2\$27bo7b2o\$28b2o5bobo\$27b2o6bo3\$24b3o\$26bo\$25bo13bo\$38bo\$38b3o3\$38b2o\$38bobo\$38bo12\$bo\$b2o\$obo!`

16.1096 in 10 gliders missing cleanup. I didn't include cleanup because I couldn't find any decent ones, so I've left it to someone else with better tools:

`x = 34, y = 43, rule = B3/S235bo\$3bobo\$4b2o6\$10bo\$11bo19bo\$9b3o19bobo\$15bobo13b2o\$b2o13b2o\$obo13bo\$2bo\$15b2o\$16b2o\$15bo14\$31b2o\$30b2o\$32bo3\$6b2o21b3o\$7b2o20bo\$6bo23bo2\$27b2o\$26b2o\$28bo!`
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 460
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 16 in 16: Efficient 16-bit Synthesis Project

Goldtiger997 wrote:...
16.1096 in 10 gliders missing cleanup. I didn't include cleanup because I couldn't find any decent ones, so I've left it to someone else with better tools:

`x = 34, y = 43, rule = B3/S235bo\$3bobo\$4b2o6\$10bo\$11bo19bo\$9b3o19bobo\$15bobo13b2o\$b2o13b2o\$obo13bo\$2bo\$15b2o\$16b2o\$15bo14\$31b2o\$30b2o\$32bo3\$6b2o21b3o\$7b2o20bo\$6bo23bo2\$27b2o\$26b2o\$28bo!`

16.1096 in 14G with cleanup:
`x = 97, y = 82, rule = B3/S2379bo\$79bobo\$79b2o16\$75bo\$75bobo\$75b2o13\$2bo\$obo\$b2o3\$91bo\$24bo65bobo\$22bobo65bobo\$23b2o64b2o2b2o\$91bobo2bo\$91b2o2b2o3\$69bo\$29bo39bobo\$30bo19bo18b2o\$28b3o19bobo\$34bobo13b2o\$20b2o13b2o\$19bobo13bo\$21bo\$34b2o\$35b2o\$34bo14\$50b2o\$49b2o\$51bo3\$25b2o21b3o\$26b2o20bo\$25bo23bo2\$46b2o\$45b2o\$47bo!`

Bob Shemyakin
BobShemyakin

Posts: 211
Joined: June 15th, 2014, 6:24 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.1699 in 11G:
`x = 112, y = 28, rule = B3/S2390bobo\$90b2o\$91bo7\$83bo\$81bobo\$82b2o2bo\$86bobo\$86b2o3\$43bo\$44bo47b2o\$42b3o2bo2bo12b2o18b2o7bobo13b2o\$46bo16bo19bo8bo15bo\$46bo3bo13bo19bo24b3o\$20b2o18b2o4b4o10b2o3bo14b2o3bo19b2o4bo\$21bo19bo19bo2b2o15bo2b2o20bo2b2o\$2o19bobo17bobo17bobo17bobo22bobo\$b2o19b2o18b2o18b2o18b2o23b2o\$o3b2o39b2o\$4bobo38bobo\$4bo40bo!`

16.1755 in 13G:
`x = 154, y = 29, rule = B3/S2356bo\$57bo\$55b3o\$132bobo\$obo34bo24bo24bo19bo25b2o17bo\$b2o33bobo15bo6bobo18b2o2bobo13b2o2bobo24bo13b2o2bobo\$bo13bo20bobo15b2o5bobo18bo3bobo13bo3bobo38bo3bobo\$16bo17b2obo15bobo3b2obo20b3obo15b3obo28bo11b3obo\$14b3o18bo24bo24bo19bo28b2o14bo\$35bobo22bobo22bobo17bobo27b2o15bo\$36b2o23b2o23b2o18b2o43b2o\$15bo\$14b2o114b3o\$14bobo113bo\$19b3o109bo\$19bo\$7b2o11bo\$6bobo\$8bo3\$106b2o8b2o\$105bobo7b2o\$107bo9bo3\$103b3o\$105bo\$104bo!`

16.1768 in 10G:
`x = 61, y = 30, rule = B3/S232bo\$3b2o\$2b2o5\$b2o\$obo7bobo11b2ob2o15b2ob2o\$2bo2bobo2b2o11bobobo15bobobo10bo\$6b2o3bo12bo2bo16bo2bo10bobo\$6bo20b2o18b2o5bo3b2o\$52b2o\$53b2o\$49b2o\$48b2o\$50bo4\$39bo\$39b2o\$38bobo13b2o\$54bobo\$54bo3\$39b3o\$41bo\$40bo!`

16.1863 in 12G:
`x = 130, y = 26, rule = B3/S2348bo\$46bobo\$47b2o2\$2bo\$obo\$b2o2\$28b2o33b2o18b2o18b2o21b2o\$28bobo32bobo17bobo17bobo20bobo\$30bo34bo19bo19bo22bo\$14b2o2bobo9b2o12bo8bobo9b2o18b2o18b2o21b2o\$15b2ob2o7b2obo11bobo9b2o6b2obo16b2obo16b2obo19b2obo\$14bo4bo7b2obobo10b2o9bo7b2obobo12bo2bobobo12bo2bobobo15bo2bobo\$31b2o33b2o12b2o4b2o12b2o4b2o15b2o2bo2\$52b3o50bo\$54bo50b2o\$53bo50bobo\$108b2o\$3b2o103bobo\$4b2o43b2o57bo\$3bo46b2o\$19b2o28bo\$18b2o\$20bo!`

16.1976 in 15G:
`x = 104, y = 26, rule = B3/S239bo\$7bobo\$8b2o\$5bo\$6bo10bobo\$4b3o10b2o\$18bo3\$21bo\$21bobo2bo16b2o18b2o33b2o\$21b2o3bobo13bobo17bobo11bo20bobo\$bo24b2o13bo19bo13bo20bo\$b2o39b2o3b2o13b2o3b2o6b3o19b2o3b2o\$obo41bobobo15bobobo30bobobo\$23bo20b2o18b2o33bobo\$8b2o12b2o49b3o24b2o\$9b2o11bobo48bo\$8bo4bo16b3o41bo\$12bo17bo\$12b3o16bo53b2o\$84b2o\$67b3o16bo\$15b2o52bo\$14b2o52bo\$16bo!`

16.2503 in 12G:
`x = 94, y = 26, rule = B3/S2311bo\$9b2o\$10b2o2\$2bo\$obo\$b2o2\$8bobo\$9b2o\$9bo4bo15b2o18b2o33b2o\$15b2o13bobo17bobo13bo18bobo\$14b2o16bo19bo12bo21bo\$32b2o3b2o13b2o3b2o6b3o19b2o3b2o\$34bobobo15bobobo30bobobo\$34b2o18b2o33bobo\$3b3o15b2o40b3o24b2o\$5bo14b2o41bo\$4bo17bo41bo\$7bobo\$7b2o66b2o\$8bo65b2o\$57b3o16bo\$9b3o47bo\$9bo48bo\$10bo!`

16.2820 in 8G:
`x = 85, y = 20, rule = B3/S23obo\$b2o\$bo3bo\$5bobo15b2o23b2o27b2o\$5b2o16bobo22bobo26bobo\$14bobo8bo24bo28bo\$14b2o9b2o23b2o10bo16b2o\$15bo46bobo17bo\$25b4o21b4o8b2o15b3obo\$25bo2bo21bo2bo25bo3bo\$83b2o\$9b2o48bo\$9bobo46b2o\$9bo44b2o2bobo\$53bobo\$55bo2\$8bo\$8b2o\$7bobo!`

Bob Shemyakin
BobShemyakin

Posts: 211
Joined: June 15th, 2014, 6:24 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

I pushed a new update with hopefully all of the recent syntheses.

I found a 10G version of 16.1096:

`x = 64, y = 81, rule = B3/S2361bobo\$61b2o\$62bo28\$5bo\$3bobo\$4b2o6\$10bo\$11bo19bo\$9b3o19bobo\$15bobo13b2o\$b2o13b2o\$obo13bo\$2bo\$15b2o\$16b2o\$15bo14\$31b2o\$30b2o\$32bo3\$6b2o21b3o\$7b2o20bo\$6bo23bo2\$27b2o\$26b2o\$28bo6\$55b2o\$54b2o\$56bo!`

Also I added these converters found in Bob's posts:

`x = 128, y = 36, rule = LifeHistory47.A68.2E\$46.A44.A25.E\$46.3A42.A.A22.E\$2E10.A18.2E41.2E15.2A23.2E7.A.A\$.E9.A19.E4.2E37.E49.2A\$.E.2E6.3A19.E.E.E36.E41.2E8.A\$2.E.E27.3E39.2E40.2E\$31.E\$31.2E41.4E\$44.3A27.E2.E\$44.A\$45.A63.3A\$111.A10.A\$56.2A52.A10.2A\$55.2A64.A.A\$34.3A20.A\$36.A51.A\$35.A51.2A21.2A\$73.2A12.A.A21.2A\$72.A.A35.A\$74.A13\$12.A\$11.2A\$11.A.A!`

Altogether the update contains improvements to 89 still lifes including some 13, 14 and 15 bit SLs:

`+16.836     xs16_4aajkczx56          16+16.1696    xs16_4a9mk4ozx121        16+16.177     xs16_25b8r54c            15+16.557     xs16_1784cggc48c         15+16.1976    xs16_g8861acz1156        15+16.102     xs16_0dbgzi5dz11         14+16.717     xs16_31kmp3z032          14+16.993     xs16_0ml2sgz643          14+16.1473    xs16_0g88b5z4ajo         14+16.1695    xs16_4aajk4ozx121        14+16.37      xs16_35iczoja4           13+16.110     xs16_4ap3zmdz11          13+16.171     xs16_25b8ria4            13+16.180     xs16_25b8r9a4            13+16.625     xs16_i5r8b5z11           13+16.722     xs16_g5r8b52z11          13+16.730     xs16_caikm93zw1          13+16.831     xs16_0ml2sgz1243         13+16.1755    xs16_696o8a6z032         13+16.2348    xs16_8k461aczw1ac        13+16.3015    xs16_wok4871zdb          13+15.46      xs15_25iczoja4           12+15.944     xs15_8k461aczw56         12+16.715     xs16_gbdgma4z11          12+16.1096    xs16_ckjaa4z641          12+16.1469    xs16_0o4871z4ajo         12+16.1625    xs16_xj96zg6l8z11        12+16.1863    xs16_4aq32acz32          12+16.2223    xs16_gs26853z56          12+16.2503    xs16_ckl3zx32ac          12+16.2560    xs16_0g88a52z4ajo        12+16.2648    xs16_32q4gzx1cjo         12+16.3049    xs16_32q4gzx14b8o        12+16.3117    xs16_3586248gzy41246     12+16.3158    xs16_x8k4871zad11        12+16.3223    xs16_32q4gzx1078k8       12+15.739     xs15_08k453z259c         11+15.794     xs15_0g4q23z3kp          11+15.1034    xs15_0ok21e8z6421        11+16.307     xs16_35862sga6           11+16.591     xs16_1784cggc4go         11+16.1115    xs16_08kaarz6221         11+16.1490    xs16_031i4ozo8b41        11+16.1610    xs16_0o48a51248cz11      11+16.1699    xs16_8e13kkozx32         11+16.2224    xs16_gs26853z146         11+16.2695    xs16_32q4gzx11mq         11+16.2808    xs16_0ok461acz641        11+16.3070    xs16_32q4gzx116io        11+16.3237    xs16_xg8426853zca1       11+13.140     xs13_1784cga6            10+15.14      xs15_25b871ac            10+15.49      xs15_3pcz4ajo            10+15.234     xs15_35a84cga6           10+15.466     xs15_ck0o8brzw1          10+15.569     xs15_ghn83146z1          10+15.588     xs15_mk4871z56           10+15.1033    xs15_3pa4zw12453         10+16.101     xs16_0c9jzi5dz11         10+16.454     xs16_04ap3zoja4          10+16.645     xs16_caikm96zw1          10+16.1018    xs16_3p6o8ge2zw1         10+16.1219    xs16_mk4871z1ac          10+16.1328    xs16_3pa4zwd552          10+16.1743    xs16_696o8a6zw32         10+16.1768    xs16_mk461acz121         10+16.1802    xs16_0cq1da4z321         10+16.1967    xs16_o86178cz056         10+16.2003    xs16_0iu0652z1246        10+16.2314    xs16_8k461acz643         10+16.2519    xs16_3pa4zw115ac         10+16.2601    xs16_32q4gzx12pm         10+16.2812    xs16_0ok215a4z6421       10+13.75      xs13_0g8gka23z23         9+15.1271    xs15_32q4gzx125a4        9+15.1275    xs15_32q4gzx1078c        9+16.681     xs16_mk2t52z121          9+16.2919    xs16_0g8k4871zbc1        9+16.3008    xs16_xok4871z653         9+16.149     xs16_5b8ri96             8+16.800     xs16_c8al96z311          8+16.921     xs16_ghn831e8z1          8+16.1121    xs16_ggm930f9z1          8+16.1799    xs16_08u1da4z321         8+16.2820    xs16_wmk4871z643         8+13.90      xs13_0g8gka52z23         7+14.312     xs14_0g8gka53z23         7+16.1706    xs16_2ege9a4zw23         7+16.3003    xs16_32q4gzx125ac        7`

Here is the new list of SLs sorted by Catagolue frequency. Also I put it here.

`16.202     xs16_354cgn96                            27  461216.657     xs16_695q4ozw321                         16  440316.131     xs16_660uhar                             19  370216.663     xs16_69r4koz023                          999 266116.1701    xs16_4a9jc4ozx121                        999 242516.1856    xs16_39u06a4z32                          16  240816.626     xs16_69n8jdzx1                           999 228216.1739    xs16_g88r2qkz121                         20  221916.1716    xs16_4a9mk46zx121                        999 217416.1880    xs16_259q453z032                         25  197516.665     xs16_699mkiczx1                          18  185716.829     xs16_0md1e8z1226                         23  147516.142     xs16_5b8raic                             999 146516.641     xs16_c9baiczw32                          999 142916.748     xs16_39ege2z321                          17  137216.799     xs16_c8al56z311                          17  117616.642     xs16_6s1raa4zw1                          53  110116.228     xs16_178bp2sg                            20  104716.159     xs16_2egmd1e8                            21  96016.765     xs16_4ap78cz321                          999 92616.686     xs16_mkkb2acz1                           39  90316.152     xs16_5b8r9ic                             999 89716.2309    xs16_8kk31e8z641                         21  77916.846     xs16_caab8oz0252                         999 68416.1696    xs16_4a9mk4ozx121                        16  63916.19      xs16_caarz39c                            18  50516.810     xs16_ca9la4z311                          16  47116.1992    xs16_25is0cczw65                         16  47016.1881    xs16_259q453zw32                         19  43316.813     xs16_c4lb8oz321                          999 42516.834     xs16_8u15a4z1226                         25  42216.691     xs16_co2ticz23                           999 41916.774     xs16_69raa4z32                           21  41916.360     xs16_2egu16413                           16  36016.848     xs16_ca9b8oz0252                         18  35916.2014    xs16_25a8kk8z0253                        17  34016.827     xs16_ciaj2ak8zw1                         999 32916.1717    xs16_4aajk46zx121                        999 32816.995     xs16_0raik8z643                          16  32016.1722    xs16_4aq32acz032                         17  30716.1940    xs16_c48q552z321                         999 28116.716     xs16_3pmk46zx23                          32  27216.265     xs16_259m861ac                           17  27016.1757    xs16_g8idik8z123                         18  26716.2060    xs16_69akg4czx56                         16  26016.1773    xs16_ciarzx3213                          999 25916.1703    xs16_4a9la8ozx121                        999 25016.647     xs16_8k4r2pmzw1                          999 24116.153     xs16_4a9r8jd                             999 22716.18      xs16_caarzbd                             19  20816.1684    xs16_4aab9k8zx32                         19  16316.2174    xs16_08u164koz32                         27  16016.353     xs16_321fgc453                           23  15516.1740    xs16_69acga6zx32                         23  15516.668     xs16_gbq1daz121                          17  15216.1990    xs16_8e1tazx1252                         18  14316.144     xs16_4aar2pm                             999 14116.1857    xs16_39u0652z32                          16  14116.243     xs16_2egu16426                           16  13816.2018    xs16_25a8c826zw33                        18  12516.819     xs16_ra178cz23                           999 12016.619     xs16_j9ajkcz11                           999 12016.126     xs16_69ir9ic                             999 11716.822     xs16_8ehikozw56                          16  11216.2445    xs16_ciligzx254c                         16  10516.1787    xs16_069m4koz311                         16  10416.953     xs16_0cil56z6221                         16  9816.1991    xs16_8e1qbzx1252                         17  9716.1929    xs16_0g5r8b5z121                         16  9416.213     xs16_35861tic                            23  8916.15      xs16_178c1f84c                           17  8316.2295    xs16_0g8go8brz23                         24  7416.155     xs16_3pabp46                             18  7216.634     xs16_ca9diczw32                          999 7116.1694    xs16_4a5p6o8zx121                        19  6516.2347    xs16_g8861acz0db                         28  6416.628     xs16_kc32qkz0113                         28  6216.1847    xs16_39c8a52z033                         17  6216.1954    xs16_8kk31e8z065                         21  6116.731     xs16_3iajkcz23                           28  5716.836     xs16_4aajkczx56                          16  5716.833     xs16_0mp2sgz1243                         20  5616.616     xs16_i5pajoz11                           17  5316.640     xs16_c9bkkozw32                          999 4916.801     xs16_08eharz321                          19  4316.1904    xs16_8u164koz32                          32  4116.795     xs16_c87p46z311                          53  3916.230     xs16_178jd2ko                            19  3916.927     xs16_4akgf9zw65                          18  3816.2132    xs16_0g8it2sgz23                         17  3816.804     xs16_c871arzx32                          999 3616.313     xs16_3pm44og4c                           35  3616.1754    xs16_695m88czx23                         999 3516.1691    xs16_4a9l6o8zx121                        999 3516.1106    xs16_0iu0dbz641                          25  3516.2201    xs16_0ggml96z641                         18  3216.442     xs16_0cai3z4aip                          17  3216.1304    xs16_0okih3zc8421                        16  3216.312     xs16_62s53zbd                            29  3116.1391    xs16_ca168ozc8421                        16  3116.929     xs16_3iaj2ak8zw1                         999 2816.2541    xs16_g8861aczc93                         28  2816.1994    xs16_0g9fgka4z121                        16  2816.1846    xs16_25a8c93zw33                         23  2716.623     xs16_o5r8jdz01                           27  2316.227     xs16_5b8r5426                            17  2316.856     xs16_kc32acz1252                         16  2316.914     xs16_8kkja952zx1                         18  2216.1791    xs16_03lkaa4z3201                        20  1916.1702    xs16_4a5p68ozx121                        23  1816.1464    xs16_08o696z6ip                          16  1816.706     xs16_39s0qmz023                          24  1716.1766    xs16_kc321e8z123                         16  1716.621     xs16_g5r8jdz11                           25  1416.723     xs16_i5p64koz11                          20  1416.350     xs16_312461tic                           16  1416.2219    xs16_0oe12koz643                         16  1416.1962    xs16_4a9eg8ozw65                         999 1316.1723    xs16_4ap64koz032                         999 1316.1034    xs16_3lkaa4z065                          24  1316.915     xs16_0gs2pmz1243                         20  1216.1790    xs16_178cia4z0321                        18  1216.803     xs16_c9bk46z311                          17  1216.278     xs16_32qj43146                           29  1116.1323    xs16_031e8gzc9311                        29  1116.786     xs16_3pa3ia4zw11                         28  1116.724     xs16_j5o64koz11                          16  1116.1758    xs16_4a4o796zw121                        17  1016.996     xs16_2lm853z056                          16  916.2546    xs16_j9cz122c84c                         16  916.2542    xs16_g88c871zc93                         16  916.682     xs16_69j0j9czx11                         999 816.3163    xs16_wo443123zbd                         17  816.838     xs16_ci9b8ozw56                          16  816.2302    xs16_4ap6413z65                          16  816.695     xs16_5b8bl8zx32                          25  716.872     xs16_2lla8oz065                          20  716.1995    xs16_cik8a52z065                         18  716.1127    xs16_giligoz104a4                        32  616.1680    xs16_8e123ckzx311                        17  616.2630    xs16_31e8gzxo9a6                         16  616.2322    xs16_raak8zx1252                         16  616.147     xs16_32qjap3                             32  516.3227    xs16_31e8gzy012ego                       27  516.1753    xs16_695q4gozw23                         21  516.772     xs16_3h4e1daz011                         16  516.2547    xs16_j9cz122c826                         16  516.151     xs16_64kr2pm                             999 416.778     xs16_69la8oz321                          36  416.713     xs16_o8bap3z23                           24  416.3066    xs16_4a9jzx12ego                         23  416.926     xs16_3iajc4gozw1                         21  416.2058    xs16_69akg4czx146                        20  416.106     xs16_31246116853                         17  416.2805    xs16_0gs2c871z641                        16  416.2029    xs16_25ao4a4z2521                        16  416.890     xs16_696ki6zw641                         999 316.889     xs16_696ki6zx65                          999 316.1861    xs16_4ap64koz32                          999 316.1685    xs16_c48n98czx23                         999 316.842     xs16_cila8oz065                          34  316.354     xs16_35s26zbd                            29  316.828     xs16_4alhe8z0641                         28  316.358     xs16_321fgc2ko                           19  316.1911    xs16_69q3213z32                          18  316.1107    xs16_02egdbz2521                         18  316.1105    xs16_gie0dbz146                          18  316.1882    xs16_259m453zx23                         17  316.1867    xs16_069q453z311                         17  316.762     xs16_jhke1e8z1                           16  316.2305    xs16_6413ia4z6421                        16  316.2030    xs16_0i5q8a52z121                        16  316.1710    xs16_4a9bk46zx32                         16  316.1080    xs16_3lo0kcz3421                         16  316.2096    xs16_wck5b8oz311                         999 216.1094    xs16_cila8oz641                          40  216.349     xs16_35s26z39c                           35  216.220     xs16_3123qajo                            29  216.1901    xs16_08obap3z32                          25  216.300     xs16_9fg4czbd                            23  216.875     xs16_4a5pa4z2521                         17  216.380     xs16_4a40vh248c                          17  216.840     xs16_c8idiczw56                          16  216.771     xs16_69qb8oz32                           16  216.2862    xs16_08u16413z65                         16  216.2204    xs16_0gilla4z641                         16  216.1720    xs16_4a4o79ozx121                        16  216.1675    xs16_xj96z0mdz32                         16  216.2784    xs16_woe12koz6221                        999 116.1979    xs16_4ap30ga6zw121                       999 116.1970    xs16_ckw3lozw1243                        999 116.1682    xs16_8k9bkk8zw23                         999 116.712     xs16_3pc0qmzw23                          48  116.1721    xs16_64kb2acz032                         35  116.218     xs16_3pajc48c                            33  116.185     xs16_32qk5b8o                            30  116.930     xs16_3iaj21e8zw1                         25  116.825     xs16_4alhe8zw65                          25  116.1064    xs16_39m88cz6221                         24  116.2313    xs16_08u16853z32                         23  116.1073    xs16_3lkaa4z641                          20  116.745     xs16_39qb8oz32                           19  116.2162    xs16_0at16426z32                         19  116.2050    xs16_6ik8a52z065                         19  116.1912    xs16_at16426z32                          19  116.2480    xs16_3iaczw1139c                         18  116.2447    xs16_0g8it248cz23                        18  116.2025    xs16_069q48cz2521                        18  116.1711    xs16_c8idik8z023                         18  116.843     xs16_4a9liczx56                          17  116.3164    xs16_wo443146zbd                         17  116.3134    xs16_c9jzw122c826                        17  116.2861    xs16_ol3zw343146                         17  116.2694    xs16_4ai3gzx11mq                         17  116.1715    xs16_64p784czw23                         17  116.593     xs16_3123c48gka4                         16  116.2699    xs16_08o6413zrm                          16  116.2460    xs16_0o861aczc452                        16  116.2317    xs16_cik8a52z641                         16  116.1864    xs16_31ke1e8z032                         16  116.1085    xs16_3h4e12koz011                        16  116.104     xs16_0j5ozj4pz11                         16  1`
chris_c

Posts: 861
Joined: June 28th, 2014, 7:15 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.106 in 13G:
`x = 121, y = 21, rule = B3/S2311bo\$11bobo\$11b2o2\$2bo25b2o18b2o5bobo15b2o23b2o19b2o\$obo26bo19bo5b2o17bo24bo20bo\$b2o25bo19bo7bo16bo24bo20bo\$27bo19bo24bo24bo20bo\$27b2o18b2o23b2o23b2o19b2o\$4b3o47bo19bo16bo7bo20bo\$6bo46b2o5bo13bo17b2o5bo20bo\$5bo6b3o38bobo3b2o11b2o17b2o4b2o19b2o\$12bo46bobo10bo24bo19bo\$13bo33b2o21bobo22bobo20bobo\$47bobo20b2o23b2o3bobo16b2o\$43bo3bo52b2o\$43b2o56bo\$42bobo47b2o\$93b2o7b2o\$92bo8b2o\$103bo!`

Bob Shemyakin
BobShemyakin

Posts: 211
Joined: June 15th, 2014, 6:24 am

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.663 in 7 gliders:
`x = 18, y = 22, rule = B3/S232bo\$3b2o\$2b2o\$17bo\$15b2o\$16b2o6\$9bo\$8bo\$8b3o\$obo\$b2o\$bo2\$6bo\$7bo2b2o5bo\$5b3obobo3b2o\$11bo4b2o!`

16.1701 in 7 gliders:
`x = 25, y = 30, rule = B3/S2324bo\$22b2o\$23b2o\$7bo\$5bobo\$6b2o5\$17bo\$16bo\$16b3o\$13b2o\$12b2o\$14bo8\$3o\$2bo\$bo\$17b2o\$5bo11bobo\$5b2o10bo\$4bobo!`
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa

Posts: 441
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.626 in 7 gliders:

`x = 23, y = 17, rule = B3/S239bo\$10bo\$8b3o\$12bo\$11bo\$4bobo4b3o\$5b2o\$5bo2\$20bobo\$bo18b2o\$b2o18bo\$obo8bo\$12b2o\$11b2o3bo\$14b2o\$15b2o!`
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 460
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 16 in 16: Efficient 16-bit Synthesis Project

16.1716 in 8 gliders:
`x = 35, y = 49, rule = B3/S2332bobo\$32b2o\$33bo12\$14bo\$12b2o\$13b2o2\$14bo\$13b2o\$13bobo2bo\$18bobo\$18b2o16\$4b3o\$6bo\$5bo\$b2o\$obo\$2bo2\$30b2o\$2b2o25b2o\$bobo27bo\$3bo!`

EDIT: 16.142 in 8 gliders:
`x = 32, y = 28, rule = B3/S237bo\$5bobo\$bo4b2o\$2bo14bo\$3o7bo4b2o\$11b2o3b2o\$10b2o9\$16bobo\$17b2o\$17bo5bobo\$19b2o2b2o\$19bobo2bo\$19bo5\$30b2o\$29b2o\$31bo!`

EDIT 2: 16.641 in 6 gliders:
`x = 17, y = 21, rule = B3/S237bo\$7bobo\$7b2o2\$8bo\$7b2o\$7bobo5\$5b2o\$3ob2o\$2bo3bo\$bo4\$6bo8b2o\$6b2o6b2o\$5bobo8bo!`
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa

Posts: 441
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

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