## 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/S23
7bo\$7bobo7bo\$7b2o7bo\$16b3o\$5b3o\$7bo\$6bo4\$obo\$b2o31bobo\$bo32b2o\$18b2o
15bo\$18bobo\$18bo15\$47b2o\$46b2o\$48bo11\$8b2o\$7bobo\$9bo3\$2o\$b2o66b2o\$o68b
obo\$69bo!

16.944 in 13 gliders:

x = 106, y = 47, rule = B3/S23
bo\$2bo\$3o9\$17bobo\$17b2o\$18bo7\$9bobo\$9b2o\$6bo3bo7b2o\$4bobo6bo3b2o\$5b2o
6bobo3bo\$13b2o5\$10bo\$10bobo\$10b2o\$4bo\$2bobo\$3b2o59bo\$65bo37bo\$44bo18b
3o8bo27bobo\$43bobo27bobo25bobo\$42bobo27bobo26bobobo\$38b2o2bobobo21b2o
2bobobo21b2obo2b2o\$7b2o15bo13bobobo2b2o15bo5bobobo2b2o21bob2o\$8b2o13b
2o16b2o17bobo8b2o\$7bo15bobo35b2o\$64b2o\$65b2o\$64bo!

16.943 in 15 gliders (1 soup on catalogue):

x = 106, y = 47, rule = B3/S23
bo\$2bo\$3o9\$17bobo\$17b2o\$18bo7\$9bobo\$9b2o\$6bo3bo7b2o\$4bobo6bo3b2o\$5b2o
6bobo3bo\$13b2o5\$10bo\$10bobo\$10b2o\$4bo\$2bobo\$3b2o59bo\$65bo37bo\$44bo18b
3o8bo27bobo\$43bobo27bobo25bobobo\$42bobo27bobo26bobobo\$38b2o2bobobo21b
2o2bobobo4bobo14b2obo2bo\$7b2o15bo13bobobo2b2o15bo5bobobo2b2o4b2o15bob
2o\$8b2o13b2o16b2o17bobo8b2o9bo\$7bo15bobo35b2o\$64b2o13b2o\$65b2o11b2o\$
64bo15bo!

EDIT:

x = 13, y = 27, rule = B3/S23
9bo2bo\$10bobo\$10b3o3\$7bobo\$6bo2bo\$6bo3bo\$6bo2bo\$7b3o6\$b2o\$o2bo\$b2o7\$2b
2o6bo\$2b2o5bobo\$10bo!

11 gliders:

x = 22, y = 42, rule = B3/S23
15bo\$14bo\$14b3o\$6bo\$4bobo\$5b2o3\$6bo\$4bobo\$5b2o\$8bo\$8bobo\$8b2o6\$2bo\$2b
2o\$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: 459
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\$2bo
3bob3o14b4o2bo3bo\$25b2o3b3o2bo\$30bob2o\$32bo\$32bo31\$25b3o\$25b3o\$ob3obob
o15bo3bo\$o3bobobo15b2ob2o3b2o\$ob3ob3o22bo2bo\$obo5bo23b2o\$ob3o3bo2\$31bo
\$30b3o\$29bo2b2o\$29b2o\$29bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1788
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

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

16.1143 in maybe 13G:
x = 75, y = 54, rule = B3/S23
70b2o\$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\$2bo
3bob3o14b4o2bo3bo\$25b2o3b3o2bo\$30bob2o\$32bo\$32bo31\$25b3o\$25b3o\$ob3obob
o15bo3bo\$o3bobobo15b2ob2o3b2o\$ob3ob3o22bo2bo\$obo5bo23b2o\$ob3o3bo2\$31bo
\$30b3o\$29bo2b2o\$29b2o\$29bo!

16.124 in 9 gliders:

x = 35, y = 41, rule = B3/S23
obo\$b2o\$bo13\$34bo\$32b2o\$18bo14b2o\$19bo2bo\$17b3o3b2o\$22b2o4\$32bo\$32bobo
\$19bobo10b2o\$20b2o\$20bo2\$20b2o\$21b2o\$20bo3\$17b3o\$19bo\$18bo\$31b2o\$31bob
o\$31bo!

yootaa wrote:16.1143 in maybe 13G:
x = 75, y = 54, rule = B3/S23
70b2o\$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/S23
117b2o38b2o38b2o\$114bo2bo36bo2bo36bo2bo\$38b3o37b3o32bobobo2bo28bo3bobo
bo2bo32bobobo2bo\$8b2o103b2o2bobobo28b2ob2o2bobobo32bo2bobobo\$7b2o57bo
50bo2bo28b2o6bo2bo36bo2bo\$9bo57b2o49b2o38b2o38b2o\$b3o38b2o22b2o14b2o
62b3o\$bo40b2o38b2o64bo\$2bo144bo\$79bo\$2o75bobo\$b2o75b2o\$o83bo\$83bo\$83b
3o\$80bo\$70b2o9b2o\$71b2o7b2o\$70bo14\$48b3o\$50bo\$49bo17\$111b3o\$111bo\$112b
o!
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 459
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/S23
84bo\$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/S23
2bo\$obo\$b2o\$50bo\$50bobo\$50b2o12\$21bo\$19b2o\$20b2o3\$11bo10bo\$12bo8bo\$10b
3o8b3o3\$12bo9bo\$13bo9bo\$11b3o7b3o2\$13bo\$12b2o\$12bobo2\$23bo\$24bo\$22b3o
3\$24bo\$23b2o\$23bobo!

16.1113 in 9 gliders:

x = 31, y = 20, rule = B3/S23
obo\$b2o\$bo19bo\$22b2obobo\$21b2o2b2o\$26bo3\$18bobo\$19b2o\$19bo\$13bo\$14b2o
3b2o4b2o\$13b2o3bobo3bobo\$20bo5bo\$28b2o\$28bobo\$16b2o10bo\$17b2o\$16bo!

16.1928 in 10 gliders:

x = 64, y = 61, rule = B3/S23
6bo\$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/S23
bo\$2bo\$3o8\$28bobo\$29b2o\$29bo2\$18bo\$17bo\$17b3o\$15bo22b3o\$13bobo22bo\$14b
2o17bo5bo\$32b2o\$32bobo\$14b3o\$16bo\$15bo3\$19b3o\$21bo\$20bo3b3o\$26bo5b2o\$
25bo6bobo\$32bo!
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 459
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/S23
2bo\$obo\$b2o\$50bo\$50bobo\$50b2o12\$21bo\$19b2o\$20b2o3\$11bo10bo\$12bo8bo\$10b
3o8b3o3\$12bo9bo\$13bo9bo\$11b3o7b3o2\$13bo\$12b2o\$12bobo2\$23bo\$24bo\$22b3o
3\$24bo\$23b2o\$23bobo!

16.1113 in 9 gliders:

rle

16.1928 in 10 gliders:

x = 64, y = 61, rule = B3/S23
6bo\$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/S23
2bo\$obo\$b2o\$50bo\$50bobo\$50b2o12\$21bo\$19b2o\$20b2o3\$11bo10bo\$12bo8bo\$10b
3o8b3o3\$12bo9bo\$13bo9bo\$11b3o7b3o2\$13bo\$12b2o\$12bobo56b2o\$16bo53bobo\$
18bo4bo45bo\$20bo3bo43bob2o\$22b3o43bobobo\$67b2obobo\$71bo\$24bo\$23b2o\$23b
obo28\$11bo\$12bo7bo\$10b3o7bobo\$20b2o\$8b2o\$7bobo10bo\$9bo11bo2bo\$19b3obo\$
23b3o49bo\$27bo46bobo\$74bobo\$23bo3bo47bob2o\$23bobo51bobo\$23b2o52bobo\$9b
o16b2o48b2ob2o\$9bobo14bobo\$5b3ob2o15bo\$7bo\$6bo40\$67bo\$66b2o\$66bobo!

And if in the first case it is worth 1 glider:
x = 126, y = 43, rule = B3/S23
58bo\$59bo\$57b3o\$100bo\$99bo\$99b3o13\$69bobo\$69b2o\$bo68bo\$2bo\$3o\$68bo2bo\$
66bobo2bobo\$16bo50b2o2b2o\$16bobo\$11b3o2b2o16b2o28b2o\$13bo20bobo27bobo\$
12bo22bo29bo\$45bo29bo48b2o\$45bo29bo47bobo\$10bo34bo29bo46bo\$9b2o110bob
2o\$9bobo109bobobo\$19bo100b2obobo\$18bo105bo\$18b3o26b2o28b2o\$47b2o28b2o
2\$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/S23
6bo\$7bo9bo\$5b3o9bobo\$17b2o2\$15bo\$3b2o11bo4bo\$2bobo9b3o3bo\$4bo15b3o\$71b
o\$70bobo\$70bobo\$19bo51bob2o\$19bobo51bobo\$6bo12b2o52bobo\$6bobo13b2o48b
2ob2o\$6b2o14bobo\$22bo\$3o\$2bo\$bo40\$64bo\$63b2o\$63bobo!

Bob Shemyakin
BobShemyakin

Posts: 209
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/S23
2bo\$obo\$b2o\$50bo\$50bobo\$50b2o12\$21bo\$19b2o\$20b2o3\$11bo10bo\$12bo8bo\$10b
3o8b3o3\$12bo9bo\$13bo9bo\$11b3o7b3o2\$13bo\$12b2o\$12bobo56b2o\$16bo53bobo\$
18bo4bo45bo\$20bo3bo43bob2o\$22b3o43bobobo\$67b2obobo\$71bo\$24bo\$23b2o\$23b
obo28\$11bo\$12bo7bo\$10b3o7bobo\$20b2o\$8b2o\$7bobo10bo\$9bo11bo2bo\$19b3obo\$
23b3o49bo\$27bo46bobo\$74bobo\$23bo3bo47bob2o\$23bobo51bobo\$23b2o52bobo\$9b
o16b2o48b2ob2o\$9bobo14bobo\$5b3ob2o15bo\$7bo\$6bo40\$67bo\$66b2o\$66bobo!

And if in the first case it is worth 1 glider:
x = 126, y = 43, rule = B3/S23
58bo\$59bo\$57b3o\$100bo\$99bo\$99b3o13\$69bobo\$69b2o\$bo68bo\$2bo\$3o\$68bo2bo\$
66bobo2bobo\$16bo50b2o2b2o\$16bobo\$11b3o2b2o16b2o28b2o\$13bo20bobo27bobo\$
12bo22bo29bo\$45bo29bo48b2o\$45bo29bo47bobo\$10bo34bo29bo46bo\$9b2o110bob
2o\$9bobo109bobobo\$19bo100b2obobo\$18bo105bo\$18b3o26b2o28b2o\$47b2o28b2o
2\$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/S23
6bo\$7bo9bo\$5b3o9bobo\$17b2o2\$15bo\$3b2o11bo4bo\$2bobo9b3o3bo\$4bo15b3o\$71b
o\$70bobo\$70bobo\$19bo51bob2o\$19bobo51bobo\$6bo12b2o52bobo\$6bobo13b2o48b
2ob2o\$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/S23
bo\$2bo\$3o\$55bo\$54bo\$54b3o13\$24bobo\$24b2o\$25bo3\$11bo14bo\$9bobo14bobo\$
10b2o14b2o5\$14bo\$15bo\$13b3o\$33bobo\$15bo18b2o\$14b2o18bo\$14bobo19bo\$36b
2o\$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: 459
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/S23
bo\$2bo\$3o\$55bo\$54bo\$54b3o13\$24bobo\$24b2o\$25bo3\$11bo14bo\$9bobo14bobo\$
10b2o14b2o5\$14bo\$15bo\$13b3o\$33bobo\$15bo18b2o\$14b2o18bo\$14bobo19bo\$36b
2o\$35bobo\$24bo\$24b2o\$23bobo!

ERROR: but correctable trivially.

9 gliders:
x = 25, y = 37, rule = B3/S23
o\$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/S23
84bo\$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/S23
93bo\$93bobo\$93b2o6\$12bo\$10bobo\$11b2o30\$bobo\$b2o48bo\$2bo47bobo\$50b2o\$3o
61bobo\$2bo11bo10bo38b2o\$bo11bo11bobo37bo40b2o\$13b3o9b2o78bobo\$22b2o40b
2o5b2o31bobo\$13bo8bobo38bobo5b2o31bo\$13b2o7bo41bo38b2obo\$12bobo87bo2bo
bo\$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: 440
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/S23
3bo\$4b2o\$3b2o3\$27bo\$27bobo\$27b2o17\$9bo\$10b2o\$9b2o\$17bo\$17bobo\$4bo12b2o
\$4bobo\$3ob2o\$2bo\$bo9bo10b2o\$10bo10bobo\$7b2ob3o10bo\$6bobo8b2o\$8bo7bobo
5b2o\$18bo5bobo\$24bo!
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 459
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/S23
74bobo\$74b2o\$75bo4\$3bo\$4b2o38bo\$3b2o38bo\$43b3o\$bo26bo29bo\$b2o25bo29bo\$
obo25bo13b3o13bo56bo\$42bo73bo\$43bo39b2o3bo2b2o21b3o6b2o3bo2b2o10b2o3bo
2b2o\$83bobobobo2bo30bobobobo2bo10bobobobo2bo\$86b2ob2o35b2ob2o14bobob2o
\$116b3o26b2o\$118bo\$117bo\$65b2o\$64b2o39b2o\$66bo39b2o\$76b2o27bo16b3o\$36b
o39bobo43bo\$36b2o38bo46bo\$35bobo!

16.1109 in 13G:
x = 209, y = 137, rule = B3/S23
149bobo\$149b2o\$150bo56\$106bo\$105bo\$105b3o18\$bo\$2bo\$3o10\$63bobo\$63b2o\$
64bo27\$185bo\$186bo\$184b3o\$188bo\$188bobo\$26bo161b2o\$26bobo\$20bobo3b2o8b
o122b2o23b2o17b2o\$20b2o12b2o121bo2bo21bo2bo16bo2bo\$21bo13b2o119bob2o
21bob2o16bob2o\$24b2o12b3o116bo24bo19bo\$23b2o6bo6bo119b4obo19b4obo14b4o
bo\$25bo4bo8bo120bob2o21bob2o16bob2o\$30b3o2\$27b3o\$27bo\$28bo!

16.2156 in 13G:
x = 111, y = 21, rule = B3/S23
89bobo\$90b2o\$80bo9bo3bo\$81bo12bobo\$79b3o12b2o2\$obo91bo\$b2o2bo87b2o\$bo
3bobo85bobo\$5b2o4bo95b2o\$9b2o15b2o18b2o18b2o18b2o20bo\$10b2o15bo19bo19b
o19bo19bo\$13b2o12bobo17bobo6bo10bobo17bobo17bobo\$6bo6bobo9b2ob2o15b2ob
2o6bobo6b2obobo14b2obobo14b2obobo\$5bo7bo10bobo17bobo9b2o6bobo2bo14bobo
2bo14bobo2bo\$5b3o16bobo17bobo6b2o9bobo17bobo17bobo\$25bo19bo6b2o11bo19b
o19bo\$54bo\$6b2o40b2o\$6bobo38bobo\$6bo42bo!

Bob Shemyakin
BobShemyakin

Posts: 209
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  4685
16.202     xs16_354cgn96                            27  4612
16.657     xs16_695q4ozw321                         16  4403
16.800     xs16_c8al96z311                          19  4172
16.645     xs16_caikm96zw1                          16  3993
16.131     xs16_660uhar                             19  3702
16.1706    xs16_2ege9a4zw23                         999 3655
16.663     xs16_69r4koz023                          999 2661
16.1701    xs16_4a9jc4ozx121                        999 2425
16.1856    xs16_39u06a4z32                          16  2408
16.626     xs16_69n8jdzx1                           999 2282
16.1739    xs16_g88r2qkz121                         20  2219
16.1716    xs16_4a9mk46zx121                        999 2174
16.1880    xs16_259q453z032                         25  1975
16.665     xs16_699mkiczx1                          18  1857
16.829     xs16_0md1e8z1226                         23  1475
16.142     xs16_5b8raic                             999 1465
16.641     xs16_c9baiczw32                          999 1429
16.748     xs16_39ege2z321                          17  1372
16.799     xs16_c8al56z311                          17  1176
16.642     xs16_6s1raa4zw1                          53  1101
16.228     xs16_178bp2sg                            20  1047
16.159     xs16_2egmd1e8                            21  960
16.765     xs16_4ap78cz321                          999 926
16.686     xs16_mkkb2acz1                           39  903
16.152     xs16_5b8r9ic                             999 897
16.2309    xs16_8kk31e8z641                         21  779
16.846     xs16_caab8oz0252                         999 684
16.1696    xs16_4a9mk4ozx121                        17  639
16.19      xs16_caarz39c                            18  505
16.810     xs16_ca9la4z311                          16  471
16.1992    xs16_25is0cczw65                         16  470
16.1881    xs16_259q453zw32                         19  433
16.813     xs16_c4lb8oz321                          999 425
16.834     xs16_8u15a4z1226                         25  422
16.691     xs16_co2ticz23                           999 419
16.774     xs16_69raa4z32                           21  419
16.1863    xs16_4aq32acz32                          17  381
16.360     xs16_2egu16413                           16  360
16.848     xs16_ca9b8oz0252                         18  359
16.2014    xs16_25a8kk8z0253                        17  340
16.717     xs16_31kmp3z032                          33  337
16.827     xs16_ciaj2ak8zw1                         999 329
16.1717    xs16_4aajk46zx121                        999 328
16.995     xs16_0raik8z643                          16  320
16.1722    xs16_4aq32acz032                         17  307
16.1940    xs16_c48q552z321                         999 281
16.716     xs16_3pmk46zx23                          32  272
16.265     xs16_259m861ac                           17  270
16.1757    xs16_g8idik8z123                         18  267
16.2060    xs16_69akg4czx56                         16  260
16.1773    xs16_ciarzx3213                          999 259
16.1703    xs16_4a9la8ozx121                        999 250
16.647     xs16_8k4r2pmzw1                          999 241
16.153     xs16_4a9r8jd                             999 227
16.18      xs16_caarzbd                             19  208
16.1684    xs16_4aab9k8zx32                         19  163
16.2174    xs16_08u164koz32                         27  160
16.1768    xs16_mk461acz121                         17  157
16.353     xs16_321fgc453                           23  155
16.1740    xs16_69acga6zx32                         23  155
16.668     xs16_gbq1daz121                          17  152
16.2503    xs16_ckl3zx32ac                          999 147
16.1990    xs16_8e1tazx1252                         18  143
16.144     xs16_4aar2pm                             999 141
16.1857    xs16_39u0652z32                          16  141
16.243     xs16_2egu16426                           16  138
16.2018    xs16_25a8c826zw33                        18  125
16.819     xs16_ra178cz23                           999 120
16.619     xs16_j9ajkcz11                           999 120
16.126     xs16_69ir9ic                             999 117
16.822     xs16_8ehikozw56                          16  112
16.2445    xs16_ciligzx254c                         16  105
16.1787    xs16_069m4koz311                         16  104
16.1699    xs16_8e13kkozx32                         999 99
16.953     xs16_0cil56z6221                         16  98
16.1991    xs16_8e1qbzx1252                         17  97
16.1929    xs16_0g5r8b5z121                         16  94
16.213     xs16_35861tic                            23  89
16.15      xs16_178c1f84c                           17  83
16.2295    xs16_0g8go8brz23                         24  74
16.1755    xs16_696o8a6z032                         999 73
16.921     xs16_ghn831e8z1                          16  73
16.155     xs16_3pabp46                             18  72
16.634     xs16_ca9diczw32                          999 71
16.1694    xs16_4a5p6o8zx121                        19  65
16.2347    xs16_g8861acz0db                         28  64
16.628     xs16_kc32qkz0113                         28  62
16.1847    xs16_39c8a52z033                         17  62
16.1954    xs16_8kk31e8z065                         21  61
16.731     xs16_3iajkcz23                           28  57
16.836     xs16_4aajkczx56                          20  57
16.833     xs16_0mp2sgz1243                         20  56
16.616     xs16_i5pajoz11                           17  53
16.640     xs16_c9bkkozw32                          999 49
16.801     xs16_08eharz321                          19  43
16.1904    xs16_8u164koz32                          32  41
16.1743    xs16_696o8a6zw32                         999 39
16.795     xs16_c87p46z311                          53  39
16.230     xs16_178jd2ko                            19  39
16.927     xs16_4akgf9zw65                          18  38
16.2132    xs16_0g8it2sgz23                         17  38
16.804     xs16_c871arzx32                          999 36
16.313     xs16_3pm44og4c                           35  36
16.1754    xs16_695m88czx23                         999 35
16.1691    xs16_4a9l6o8zx121                        999 35
16.1106    xs16_0iu0dbz641                          25  35
16.2201    xs16_0ggml96z641                         18  32
16.442     xs16_0cai3z4aip                          17  32
16.1304    xs16_0okih3zc8421                        16  32
16.312     xs16_62s53zbd                            29  31
16.1391    xs16_ca168ozc8421                        16  31
16.1976    xs16_g8861acz1156                        999 29
16.929     xs16_3iaj2ak8zw1                         999 28
16.2541    xs16_g8861aczc93                         28  28
16.1994    xs16_0g9fgka4z121                        16  28
16.1846    xs16_25a8c93zw33                         23  27
16.623     xs16_o5r8jdz01                           27  23
16.227     xs16_5b8r5426                            17  23
16.856     xs16_kc32acz1252                         16  23
16.914     xs16_8kkja952zx1                         18  22
16.1791    xs16_03lkaa4z3201                        20  19
16.1096    xs16_ckjaa4z641                          18  19
16.1702    xs16_4a5p68ozx121                        23  18
16.1464    xs16_08o696z6ip                          16  18
16.706     xs16_39s0qmz023                          24  17
16.1766    xs16_kc321e8z123                         16  17
16.101     xs16_0c9jzi5dz11                         21  15
16.621     xs16_g5r8jdz11                           25  14
16.723     xs16_i5p64koz11                          20  14
16.350     xs16_312461tic                           16  14
16.2219    xs16_0oe12koz643                         16  14
16.1962    xs16_4a9eg8ozw65                         999 13
16.1723    xs16_4ap64koz032                         999 13
16.2820    xs16_wmk4871z643                         25  13
16.1034    xs16_3lkaa4z065                          24  13
16.915     xs16_0gs2pmz1243                         20  12
16.1790    xs16_178cia4z0321                        18  12
16.803     xs16_c9bk46z311                          17  12
16.278     xs16_32qj43146                           29  11
16.1323    xs16_031e8gzc9311                        29  11
16.786     xs16_3pa3ia4zw11                         28  11
16.724     xs16_j5o64koz11                          16  11
16.177     xs16_25b8r54c                            16  11
16.1758    xs16_4a4o796zw121                        17  10
16.996     xs16_2lm853z056                          16  9
16.2546    xs16_j9cz122c84c                         16  9
16.2542    xs16_g88c871zc93                         16  9
16.682     xs16_69j0j9czx11                         999 8
16.1018    xs16_3p6o8ge2zw1                         27  8
16.3163    xs16_wo443123zbd                         17  8
16.1115    xs16_08kaarz6221                         17  8
16.838     xs16_ci9b8ozw56                          16  8
16.2302    xs16_4ap6413z65                          16  8
16.695     xs16_5b8bl8zx32                          25  7
16.872     xs16_2lla8oz065                          20  7
16.1995    xs16_cik8a52z065                         18  7
16.1127    xs16_giligoz104a4                        32  6
16.1680    xs16_8e123ckzx311                        17  6
16.2630    xs16_31e8gzxo9a6                         16  6
16.2322    xs16_raak8zx1252                         16  6
16.147     xs16_32qjap3                             32  5
16.3227    xs16_31e8gzy012ego                       27  5
16.1753    xs16_695q4gozw23                         21  5
16.772     xs16_3h4e1daz011                         16  5
16.2547    xs16_j9cz122c826                         16  5
16.151     xs16_64kr2pm                             999 4
16.778     xs16_69la8oz321                          36  4
16.591     xs16_1784cggc4go                         27  4
16.713     xs16_o8bap3z23                           24  4
16.3066    xs16_4a9jzx12ego                         23  4
16.926     xs16_3iajc4gozw1                         21  4
16.2058    xs16_69akg4czx146                        20  4
16.106     xs16_31246116853                         17  4
16.2805    xs16_0gs2c871z641                        16  4
16.2029    xs16_25ao4a4z2521                        16  4
16.1967    xs16_o86178cz056                         16  4
16.890     xs16_696ki6zw641                         999 3
16.889     xs16_696ki6zx65                          999 3
16.1861    xs16_4ap64koz32                          999 3
16.1685    xs16_c48n98czx23                         999 3
16.842     xs16_cila8oz065                          34  3
16.354     xs16_35s26zbd                            29  3
16.828     xs16_4alhe8z0641                         28  3
16.358     xs16_321fgc2ko                           19  3
16.1911    xs16_69q3213z32                          18  3
16.1107    xs16_02egdbz2521                         18  3
16.1105    xs16_gie0dbz146                          18  3
16.1882    xs16_259m453zx23                         17  3
16.1867    xs16_069q453z311                         17  3
16.762     xs16_jhke1e8z1                           16  3
16.2305    xs16_6413ia4z6421                        16  3
16.2030    xs16_0i5q8a52z121                        16  3
16.1710    xs16_4a9bk46zx32                         16  3
16.1080    xs16_3lo0kcz3421                         16  3
16.2096    xs16_wck5b8oz311                         999 2
16.1094    xs16_cila8oz641                          40  2
16.349     xs16_35s26z39c                           35  2
16.220     xs16_3123qajo                            29  2
16.1901    xs16_08obap3z32                          25  2
16.300     xs16_9fg4czbd                            23  2
16.875     xs16_4a5pa4z2521                         17  2
16.380     xs16_4a40vh248c                          17  2
16.840     xs16_c8idiczw56                          16  2
16.771     xs16_69qb8oz32                           16  2
16.2862    xs16_08u16413z65                         16  2
16.2204    xs16_0gilla4z641                         16  2
16.1720    xs16_4a4o79ozx121                        16  2
16.1675    xs16_xj96z0mdz32                         16  2
16.2784    xs16_woe12koz6221                        999 1
16.1979    xs16_4ap30ga6zw121                       999 1
16.1970    xs16_ckw3lozw1243                        999 1
16.1682    xs16_8k9bkk8zw23                         999 1
16.712     xs16_3pc0qmzw23                          48  1
16.1721    xs16_64kb2acz032                         35  1
16.218     xs16_3pajc48c                            33  1
16.185     xs16_32qk5b8o                            30  1
16.930     xs16_3iaj21e8zw1                         25  1
16.825     xs16_4alhe8zw65                          25  1
16.1064    xs16_39m88cz6221                         24  1
16.2313    xs16_08u16853z32                         23  1
16.1073    xs16_3lkaa4z641                          20  1
16.745     xs16_39qb8oz32                           19  1
16.2162    xs16_0at16426z32                         19  1
16.2050    xs16_6ik8a52z065                         19  1
16.1912    xs16_at16426z32                          19  1
16.2480    xs16_3iaczw1139c                         18  1
16.2447    xs16_0g8it248cz23                        18  1
16.2025    xs16_069q48cz2521                        18  1
16.1711    xs16_c8idik8z023                         18  1
16.843     xs16_4a9liczx56                          17  1
16.3164    xs16_wo443146zbd                         17  1
16.3134    xs16_c9jzw122c826                        17  1
16.2861    xs16_ol3zw343146                         17  1
16.2694    xs16_4ai3gzx11mq                         17  1
16.1715    xs16_64p784czw23                         17  1
16.593     xs16_3123c48gka4                         16  1
16.2699    xs16_08o6413zrm                          16  1
16.2460    xs16_0o861aczc452                        16  1
16.2317    xs16_cik8a52z641                         16  1
16.1864    xs16_31ke1e8z032                         16  1
16.1085    xs16_3h4e12koz011                        16  1
16.104     xs16_0j5ozj4pz11                         16  1
chris_c

Posts: 851
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: 4909
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/S23
64bo\$62b2o\$63b2o2\$o\$b2ob2o26bo29bo\$2o2bobo24bobo27bobo\$4bo27b2o28b2o2\$
90bo\$59bo26b2obobo\$57bobo27bobo2bo\$50bo7b2o27bob3o\$51bo2b2o32bo\$49b3ob
obo33bo\$55bo32b2o2\$47bo\$47b2o\$46bobo!

EDIT: Reduced to 6:
x = 17, y = 20, rule = B3/S23
7bo\$5bobo\$6b2o6bobo\$14b2o\$15bo2\$6bo\$6b2o\$5bobo5\$7bobo\$7b2o\$2o6bo\$b2o\$o
7b3o\$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: 440
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/S23
bo\$2bo\$3o18\$25bo\$26b2o\$25b2o13\$29b2o\$30b2o\$29bo3\$26b2o\$27b2o17b2o\$26bo
16bob2o\$41bobo3bo\$42b2o2\$42bo\$41b2o\$41bobo27\$10b2o\$9bobo\$11bo!
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 459
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/S23
2o\$2o4\$3b2o\$3b3o\$3b2o4\$b2o\$b2o2b2o\$5bobo\$5bobo\$6b2o\$b2o\$b2o!

16.645
x = 13, y = 23, rule = B3/S23
3b2o\$2bobo\$2b2o9\$8b2o\$8b2o\$3o\$o2bo\$b3o3\$10bo\$9bobo\$8b2ob2o\$8b2obo\$9b2o
!

16.800
x = 17, y = 28, rule = B3/S23
9bo\$8bobo\$8bobo\$9bo\$13b3o\$13bo2bo\$14b3o8\$15b2o\$8b3o4b2o10\$b2o\$obo\$2bo!

16.1018
x = 25, y = 17, rule = B3/S23
3b2o\$2bo2bo8b2o\$3bobo8b2o\$4bo7\$b2o15b2o\$o2bo14bo2bo\$o2bo15b3o\$b2o18bo
3\$22b3o!

16.1034
x = 15, y = 31, rule = B3/S23
10bo\$10bo\$b2o7bo\$o2bo\$b2o3b3o3b3o2\$10bo\$10bo\$10bo10\$8bo\$8b2o\$7bobo\$8bo
\$3bo\$2b3o5\$12bo\$12bo\$12bo!

16.1096
x = 16, y = 22, rule = B3/S23
bo\$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/S23
2o\$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/S23
53bobo\$54b2o\$54bo\$87bo\$85b2o\$86b2o3\$74bobo\$74b2o\$64bo10bo\$65bo\$63b3o
32b2o\$79bo19bo\$78bo18bo\$78b3o16b2o\$99bo\$97b2o\$bobo92bo\$b2o94b2o\$2bo95b
o\$35b2o28b2o29bo\$35b2o28b2o8bobo18b2o\$75b2o\$76bo\$obo\$b2o32b2o28b2o6b3o
\$bo33b2o28b2o6bo\$74bo\$b2o\$obo\$2bo!
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 459
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/S23
58bobo\$59b2o14bo\$59bo16b2o\$52bo22b2o\$50bobo\$51b2o2b2o\$54bobo18bo\$obo
34bo18bo10bo6b2o17b2o18b2o18b2o\$b2o33bobo27bobo5bobo17bo19bo19bo\$bo13b
o20bobo27bobo25bobo17bobo17bobo\$16bo17b2obo26b2obo24b2ob2o15b2ob2o15b
2ob2o\$14b3o18bo29bo27bo19bo19bo\$35bobo27bobo25bob2o16bob2o16bob2o\$36b
2o28b2o26bobo17bobo17bobo\$15bo119bo\$14b2o\$14bobo\$19b3o\$19bo58bo\$7b2o
11bo44b2o10b2o\$6bobo57b2o9bobo\$8bo52bo3bo\$61b2o\$60bobo48bo\$110bo\$110b
3o2\$111bo\$110b2o\$110bobo!

16.591 in 11G:
x = 96, y = 31, rule = B3/S23
73bobo\$73b2o\$2bo13bo57bo\$obo12bo\$b2o12b3o3\$26bo29bo34bo\$9bo16b3o27b3o
32b3o\$9b2o2b2o14bo29bo34bo\$8bobo2bobo12bo29bo34bo\$13bo14b2o28b2o6bo26b
2o\$66bobo26bo\$66b2o27bo\$48bo44b2o\$49b2o42bo\$48b2o45bo\$94b2o\$47bo\$46b2o
24bo\$46bobo22b2o5bo\$71bobo3b2o\$77bobo6\$57b2o\$56b2o\$58bo!

16.717 in 14G:
x = 194, y = 29, rule = B3/S23
39bo\$40bo\$38b3o\$101bo\$102bo\$100b3o2\$103b2o\$77bobo23b2o\$77b2o\$78bo2\$bo
3bo160bo\$2bobo97b2o28b2o18b2o11bo21b2o\$3ob3o54b2ob2o36bo4b2o23bo4b2o
13bo4b2o6b3o19bo4b2o\$61b2ob2o38bobobo25bobobo15bobobo30bobobo\$103b3o
11b2o14b3o17b3o32b2obo\$74bo27bo13bobo13bo19bo10b3o21bo2b2o\$75b2obo23b
2o13bo2b3o9b2o18b2o9bo23b2o\$74b2o2bobo39bo43bo\$78b2o41bo\$25bo58bo90b2o
\$24bo59bo89b2o\$24b3o57bo72b3o16bo\$159bo\$158bo\$24b2o\$24bobo\$24bo!

16.921 in 8G:
x = 74, y = 20, rule = B3/S23
3bo\$4bo9bobo9bo19bo24bo\$2b3o9b2o8b3o17b3o22b3o\$15bo7bo19bo24bo\$23b2o
18b2o10bo12b2o\$2o53bobo13bo\$b2o20b4o16b4o8b2o11b3obo\$o22bo2bo16bo2bo
21bo3bo\$72b2o\$52bo\$51b2o\$9b2o36b2o2bobo\$8b2o36bobo\$10bo37bo4\$4bo\$4b2o\$
3bobo!

Bob Shemyakin
BobShemyakin

Posts: 209
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/S23
17bo\$17bobo\$17b2o14\$16bo\$15bo\$15b3o\$13bo\$14bo\$12b3o4\$b2o\$obo\$2bo10bo\$
12b2o\$12bobo3\$15b2o\$14b2o\$16bo\$12b2o\$11bobo6b2o\$13bo6bobo18b2o\$20bo20b
obo\$41bo6\$52b2o\$52bobo\$52bo!

16.800 in 8 gliders:

x = 100, y = 30, rule = B3/S23
64bo\$65bo\$63b3o2\$60b3o4bo\$62bo5b2o\$61bo5b2o3bo\$71bo\$5bo65b3o\$6bo\$4b3o\$
8bo\$8b2o\$7bobo87b2o\$bo94bo2bo\$b2o32bo5b2o22bo5b2o22bobobo\$obo32bo5b2o
22bo5b2o21bobobo\$35bo29bo28bobo\$93b2ob2o9\$56bo\$56b2o\$55bobo!

16.1018 in 10 gliders:

x = 41, y = 36, rule = B3/S23
40bo\$38b2o\$39b2o6\$17bo\$15bobo\$16b2o2\$17b3o\$17bo\$18bo3\$38bo\$obo33b2o\$b
2o34b2o\$bo2\$13bobo11bo\$14b2o10bo\$14bo11b3o\$30b3o\$13b2o15bo\$12bobo16bo\$
14bo5\$38b3o\$38bo\$39bo!

16.1034 in 12 gliders:

x = 62, y = 65, rule = B3/S23
60bo\$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/S23
5bo\$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: 459
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/S23
5bo\$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/S23
79bo\$79bobo\$79b2o16\$75bo\$75bobo\$75b2o13\$2bo\$obo\$b2o3\$91bo\$24bo65bobo\$
22bobo65bobo\$23b2o64b2o2b2o\$91bobo2bo\$91b2o2b2o3\$69bo\$29bo39bobo\$30bo
19bo18b2o\$28b3o19bobo\$34bobo13b2o\$20b2o13b2o\$19bobo13bo\$21bo\$34b2o\$35b
2o\$34bo14\$50b2o\$49b2o\$51bo3\$25b2o21b3o\$26b2o20bo\$25bo23bo2\$46b2o\$45b2o
\$47bo!

Bob Shemyakin
BobShemyakin

Posts: 209
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/S23
90bobo\$90b2o\$91bo7\$83bo\$81bobo\$82b2o2bo\$86bobo\$86b2o3\$43bo\$44bo47b2o\$
42b3o2bo2bo12b2o18b2o7bobo13b2o\$46bo16bo19bo8bo15bo\$46bo3bo13bo19bo24b
3o\$20b2o18b2o4b4o10b2o3bo14b2o3bo19b2o4bo\$21bo19bo19bo2b2o15bo2b2o20bo
2b2o\$2o19bobo17bobo17bobo17bobo22bobo\$b2o19b2o18b2o18b2o18b2o23b2o\$o3b
2o39b2o\$4bobo38bobo\$4bo40bo!

16.1755 in 13G:
x = 154, y = 29, rule = B3/S23
56bo\$57bo\$55b3o\$132bobo\$obo34bo24bo24bo19bo25b2o17bo\$b2o33bobo15bo6bob
o18b2o2bobo13b2o2bobo24bo13b2o2bobo\$bo13bo20bobo15b2o5bobo18bo3bobo13b
o3bobo38bo3bobo\$16bo17b2obo15bobo3b2obo20b3obo15b3obo28bo11b3obo\$14b3o
18bo24bo24bo19bo28b2o14bo\$35bobo22bobo22bobo17bobo27b2o15bo\$36b2o23b2o
23b2o18b2o43b2o\$15bo\$14b2o114b3o\$14bobo113bo\$19b3o109bo\$19bo\$7b2o11bo\$
6bobo\$8bo3\$106b2o8b2o\$105bobo7b2o\$107bo9bo3\$103b3o\$105bo\$104bo!

16.1768 in 10G:
x = 61, y = 30, rule = B3/S23
2bo\$3b2o\$2b2o5\$b2o\$obo7bobo11b2ob2o15b2ob2o\$2bo2bobo2b2o11bobobo15bobo
bo10bo\$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/S23
48bo\$46bobo\$47b2o2\$2bo\$obo\$b2o2\$28b2o33b2o18b2o18b2o21b2o\$28bobo32bobo
17bobo17bobo20bobo\$30bo34bo19bo19bo22bo\$14b2o2bobo9b2o12bo8bobo9b2o18b
2o18b2o21b2o\$15b2ob2o7b2obo11bobo9b2o6b2obo16b2obo16b2obo19b2obo\$14bo
4bo7b2obobo10b2o9bo7b2obobo12bo2bobobo12bo2bobobo15bo2bobo\$31b2o33b2o
12b2o4b2o12b2o4b2o15b2o2bo2\$52b3o50bo\$54bo50b2o\$53bo50bobo\$108b2o\$3b2o
103bobo\$4b2o43b2o57bo\$3bo46b2o\$19b2o28bo\$18b2o\$20bo!

16.1976 in 15G:
x = 104, y = 26, rule = B3/S23
9bo\$7bobo\$8b2o\$5bo\$6bo10bobo\$4b3o10b2o\$18bo3\$21bo\$21bobo2bo16b2o18b2o
33b2o\$21b2o3bobo13bobo17bobo11bo20bobo\$bo24b2o13bo19bo13bo20bo\$b2o39b
2o3b2o13b2o3b2o6b3o19b2o3b2o\$obo41bobobo15bobobo30bobobo\$23bo20b2o18b
2o33bobo\$8b2o12b2o49b3o24b2o\$9b2o11bobo48bo\$8bo4bo16b3o41bo\$12bo17bo\$
12b3o16bo53b2o\$84b2o\$67b3o16bo\$15b2o52bo\$14b2o52bo\$16bo!

16.2503 in 12G:
x = 94, y = 26, rule = B3/S23
11bo\$9b2o\$10b2o2\$2bo\$obo\$b2o2\$8bobo\$9b2o\$9bo4bo15b2o18b2o33b2o\$15b2o
13bobo17bobo13bo18bobo\$14b2o16bo19bo12bo21bo\$32b2o3b2o13b2o3b2o6b3o19b
2o3b2o\$34bobobo15bobobo30bobobo\$34b2o18b2o33bobo\$3b3o15b2o40b3o24b2o\$
5bo14b2o41bo\$4bo17bo41bo\$7bobo\$7b2o66b2o\$8bo65b2o\$57b3o16bo\$9b3o47bo\$
9bo48bo\$10bo!

16.2820 in 8G:
x = 85, y = 20, rule = B3/S23
obo\$b2o\$bo3bo\$5bobo15b2o23b2o27b2o\$5b2o16bobo22bobo26bobo\$14bobo8bo24b
o28bo\$14b2o9b2o23b2o10bo16b2o\$15bo46bobo17bo\$25b4o21b4o8b2o15b3obo\$25b
o2bo21bo2bo25bo3bo\$83b2o\$9b2o48bo\$9bobo46b2o\$9bo44b2o2bobo\$53bobo\$55bo
2\$8bo\$8b2o\$7bobo!

Bob Shemyakin
BobShemyakin

Posts: 209
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/S23
61bobo\$61b2o\$62bo28\$5bo\$3bobo\$4b2o6\$10bo\$11bo19bo\$9b3o19bobo\$15bobo13b
2o\$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 = LifeHistory
47.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\$56.2A
52.A10.2A\$55.2A64.A.A\$34.3A20.A\$36.A51.A\$35.A51.2A21.2A\$73.2A12.A.A
21.2A\$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
+16.3223    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  4612
16.657     xs16_695q4ozw321                         16  4403
16.131     xs16_660uhar                             19  3702
16.663     xs16_69r4koz023                          999 2661
16.1701    xs16_4a9jc4ozx121                        999 2425
16.1856    xs16_39u06a4z32                          16  2408
16.626     xs16_69n8jdzx1                           999 2282
16.1739    xs16_g88r2qkz121                         20  2219
16.1716    xs16_4a9mk46zx121                        999 2174
16.1880    xs16_259q453z032                         25  1975
16.665     xs16_699mkiczx1                          18  1857
16.829     xs16_0md1e8z1226                         23  1475
16.142     xs16_5b8raic                             999 1465
16.641     xs16_c9baiczw32                          999 1429
16.748     xs16_39ege2z321                          17  1372
16.799     xs16_c8al56z311                          17  1176
16.642     xs16_6s1raa4zw1                          53  1101
16.228     xs16_178bp2sg                            20  1047
16.159     xs16_2egmd1e8                            21  960
16.765     xs16_4ap78cz321                          999 926
16.686     xs16_mkkb2acz1                           39  903
16.152     xs16_5b8r9ic                             999 897
16.2309    xs16_8kk31e8z641                         21  779
16.846     xs16_caab8oz0252                         999 684
16.1696    xs16_4a9mk4ozx121                        16  639
16.19      xs16_caarz39c                            18  505
16.810     xs16_ca9la4z311                          16  471
16.1992    xs16_25is0cczw65                         16  470
16.1881    xs16_259q453zw32                         19  433
16.813     xs16_c4lb8oz321                          999 425
16.834     xs16_8u15a4z1226                         25  422
16.691     xs16_co2ticz23                           999 419
16.774     xs16_69raa4z32                           21  419
16.360     xs16_2egu16413                           16  360
16.848     xs16_ca9b8oz0252                         18  359
16.2014    xs16_25a8kk8z0253                        17  340
16.827     xs16_ciaj2ak8zw1                         999 329
16.1717    xs16_4aajk46zx121                        999 328
16.995     xs16_0raik8z643                          16  320
16.1722    xs16_4aq32acz032                         17  307
16.1940    xs16_c48q552z321                         999 281
16.716     xs16_3pmk46zx23                          32  272
16.265     xs16_259m861ac                           17  270
16.1757    xs16_g8idik8z123                         18  267
16.2060    xs16_69akg4czx56                         16  260
16.1773    xs16_ciarzx3213                          999 259
16.1703    xs16_4a9la8ozx121                        999 250
16.647     xs16_8k4r2pmzw1                          999 241
16.153     xs16_4a9r8jd                             999 227
16.18      xs16_caarzbd                             19  208
16.1684    xs16_4aab9k8zx32                         19  163
16.2174    xs16_08u164koz32                         27  160
16.353     xs16_321fgc453                           23  155
16.1740    xs16_69acga6zx32                         23  155
16.668     xs16_gbq1daz121                          17  152
16.1990    xs16_8e1tazx1252                         18  143
16.144     xs16_4aar2pm                             999 141
16.1857    xs16_39u0652z32                          16  141
16.243     xs16_2egu16426                           16  138
16.2018    xs16_25a8c826zw33                        18  125
16.819     xs16_ra178cz23                           999 120
16.619     xs16_j9ajkcz11                           999 120
16.126     xs16_69ir9ic                             999 117
16.822     xs16_8ehikozw56                          16  112
16.2445    xs16_ciligzx254c                         16  105
16.1787    xs16_069m4koz311                         16  104
16.953     xs16_0cil56z6221                         16  98
16.1991    xs16_8e1qbzx1252                         17  97
16.1929    xs16_0g5r8b5z121                         16  94
16.213     xs16_35861tic                            23  89
16.15      xs16_178c1f84c                           17  83
16.2295    xs16_0g8go8brz23                         24  74
16.155     xs16_3pabp46                             18  72
16.634     xs16_ca9diczw32                          999 71
16.1694    xs16_4a5p6o8zx121                        19  65
16.2347    xs16_g8861acz0db                         28  64
16.628     xs16_kc32qkz0113                         28  62
16.1847    xs16_39c8a52z033                         17  62
16.1954    xs16_8kk31e8z065                         21  61
16.731     xs16_3iajkcz23                           28  57
16.836     xs16_4aajkczx56                          16  57
16.833     xs16_0mp2sgz1243                         20  56
16.616     xs16_i5pajoz11                           17  53
16.640     xs16_c9bkkozw32                          999 49
16.801     xs16_08eharz321                          19  43
16.1904    xs16_8u164koz32                          32  41
16.795     xs16_c87p46z311                          53  39
16.230     xs16_178jd2ko                            19  39
16.927     xs16_4akgf9zw65                          18  38
16.2132    xs16_0g8it2sgz23                         17  38
16.804     xs16_c871arzx32                          999 36
16.313     xs16_3pm44og4c                           35  36
16.1754    xs16_695m88czx23                         999 35
16.1691    xs16_4a9l6o8zx121                        999 35
16.1106    xs16_0iu0dbz641                          25  35
16.2201    xs16_0ggml96z641                         18  32
16.442     xs16_0cai3z4aip                          17  32
16.1304    xs16_0okih3zc8421                        16  32
16.312     xs16_62s53zbd                            29  31
16.1391    xs16_ca168ozc8421                        16  31
16.929     xs16_3iaj2ak8zw1                         999 28
16.2541    xs16_g8861aczc93                         28  28
16.1994    xs16_0g9fgka4z121                        16  28
16.1846    xs16_25a8c93zw33                         23  27
16.623     xs16_o5r8jdz01                           27  23
16.227     xs16_5b8r5426                            17  23
16.856     xs16_kc32acz1252                         16  23
16.914     xs16_8kkja952zx1                         18  22
16.1791    xs16_03lkaa4z3201                        20  19
16.1702    xs16_4a5p68ozx121                        23  18
16.1464    xs16_08o696z6ip                          16  18
16.706     xs16_39s0qmz023                          24  17
16.1766    xs16_kc321e8z123                         16  17
16.621     xs16_g5r8jdz11                           25  14
16.723     xs16_i5p64koz11                          20  14
16.350     xs16_312461tic                           16  14
16.2219    xs16_0oe12koz643                         16  14
16.1962    xs16_4a9eg8ozw65                         999 13
16.1723    xs16_4ap64koz032                         999 13
16.1034    xs16_3lkaa4z065                          24  13
16.915     xs16_0gs2pmz1243                         20  12
16.1790    xs16_178cia4z0321                        18  12
16.803     xs16_c9bk46z311                          17  12
16.278     xs16_32qj43146                           29  11
16.1323    xs16_031e8gzc9311                        29  11
16.786     xs16_3pa3ia4zw11                         28  11
16.724     xs16_j5o64koz11                          16  11
16.1758    xs16_4a4o796zw121                        17  10
16.996     xs16_2lm853z056                          16  9
16.2546    xs16_j9cz122c84c                         16  9
16.2542    xs16_g88c871zc93                         16  9
16.682     xs16_69j0j9czx11                         999 8
16.3163    xs16_wo443123zbd                         17  8
16.838     xs16_ci9b8ozw56                          16  8
16.2302    xs16_4ap6413z65                          16  8
16.695     xs16_5b8bl8zx32                          25  7
16.872     xs16_2lla8oz065                          20  7
16.1995    xs16_cik8a52z065                         18  7
16.1127    xs16_giligoz104a4                        32  6
16.1680    xs16_8e123ckzx311                        17  6
16.2630    xs16_31e8gzxo9a6                         16  6
16.2322    xs16_raak8zx1252                         16  6
16.147     xs16_32qjap3                             32  5
16.3227    xs16_31e8gzy012ego                       27  5
16.1753    xs16_695q4gozw23                         21  5
16.772     xs16_3h4e1daz011                         16  5
16.2547    xs16_j9cz122c826                         16  5
16.151     xs16_64kr2pm                             999 4
16.778     xs16_69la8oz321                          36  4
16.713     xs16_o8bap3z23                           24  4
16.3066    xs16_4a9jzx12ego                         23  4
16.926     xs16_3iajc4gozw1                         21  4
16.2058    xs16_69akg4czx146                        20  4
16.106     xs16_31246116853                         17  4
16.2805    xs16_0gs2c871z641                        16  4
16.2029    xs16_25ao4a4z2521                        16  4
16.890     xs16_696ki6zw641                         999 3
16.889     xs16_696ki6zx65                          999 3
16.1861    xs16_4ap64koz32                          999 3
16.1685    xs16_c48n98czx23                         999 3
16.842     xs16_cila8oz065                          34  3
16.354     xs16_35s26zbd                            29  3
16.828     xs16_4alhe8z0641                         28  3
16.358     xs16_321fgc2ko                           19  3
16.1911    xs16_69q3213z32                          18  3
16.1107    xs16_02egdbz2521                         18  3
16.1105    xs16_gie0dbz146                          18  3
16.1882    xs16_259m453zx23                         17  3
16.1867    xs16_069q453z311                         17  3
16.762     xs16_jhke1e8z1                           16  3
16.2305    xs16_6413ia4z6421                        16  3
16.2030    xs16_0i5q8a52z121                        16  3
16.1710    xs16_4a9bk46zx32                         16  3
16.1080    xs16_3lo0kcz3421                         16  3
16.2096    xs16_wck5b8oz311                         999 2
16.1094    xs16_cila8oz641                          40  2
16.349     xs16_35s26z39c                           35  2
16.220     xs16_3123qajo                            29  2
16.1901    xs16_08obap3z32                          25  2
16.300     xs16_9fg4czbd                            23  2
16.875     xs16_4a5pa4z2521                         17  2
16.380     xs16_4a40vh248c                          17  2
16.840     xs16_c8idiczw56                          16  2
16.771     xs16_69qb8oz32                           16  2
16.2862    xs16_08u16413z65                         16  2
16.2204    xs16_0gilla4z641                         16  2
16.1720    xs16_4a4o79ozx121                        16  2
16.1675    xs16_xj96z0mdz32                         16  2
16.2784    xs16_woe12koz6221                        999 1
16.1979    xs16_4ap30ga6zw121                       999 1
16.1970    xs16_ckw3lozw1243                        999 1
16.1682    xs16_8k9bkk8zw23                         999 1
16.712     xs16_3pc0qmzw23                          48  1
16.1721    xs16_64kb2acz032                         35  1
16.218     xs16_3pajc48c                            33  1
16.185     xs16_32qk5b8o                            30  1
16.930     xs16_3iaj21e8zw1                         25  1
16.825     xs16_4alhe8zw65                          25  1
16.1064    xs16_39m88cz6221                         24  1
16.2313    xs16_08u16853z32                         23  1
16.1073    xs16_3lkaa4z641                          20  1
16.745     xs16_39qb8oz32                           19  1
16.2162    xs16_0at16426z32                         19  1
16.2050    xs16_6ik8a52z065                         19  1
16.1912    xs16_at16426z32                          19  1
16.2480    xs16_3iaczw1139c                         18  1
16.2447    xs16_0g8it248cz23                        18  1
16.2025    xs16_069q48cz2521                        18  1
16.1711    xs16_c8idik8z023                         18  1
16.843     xs16_4a9liczx56                          17  1
16.3164    xs16_wo443146zbd                         17  1
16.3134    xs16_c9jzw122c826                        17  1
16.2861    xs16_ol3zw343146                         17  1
16.2694    xs16_4ai3gzx11mq                         17  1
16.1715    xs16_64p784czw23                         17  1
16.593     xs16_3123c48gka4                         16  1
16.2699    xs16_08o6413zrm                          16  1
16.2460    xs16_0o861aczc452                        16  1
16.2317    xs16_cik8a52z641                         16  1
16.1864    xs16_31ke1e8z032                         16  1
16.1085    xs16_3h4e12koz011                        16  1
16.104     xs16_0j5ozj4pz11                         16  1
chris_c

Posts: 851
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/S23
11bo\$11bobo\$11b2o2\$2bo25b2o18b2o5bobo15b2o23b2o19b2o\$obo26bo19bo5b2o
17bo24bo20bo\$b2o25bo19bo7bo16bo24bo20bo\$27bo19bo24bo24bo20bo\$27b2o18b
2o23b2o23b2o19b2o\$4b3o47bo19bo16bo7bo20bo\$6bo46b2o5bo13bo17b2o5bo20bo\$
5bo6b3o38bobo3b2o11b2o17b2o4b2o19b2o\$12bo46bobo10bo24bo19bo\$13bo33b2o
21bobo22bobo20bobo\$47bobo20b2o23b2o3bobo16b2o\$43bo3bo52b2o\$43b2o56bo\$
42bobo47b2o\$93b2o7b2o\$92bo8b2o\$103bo!

Bob Shemyakin
BobShemyakin

Posts: 209
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/S23
2bo\$3b2o\$2b2o\$17bo\$15b2o\$16b2o6\$9bo\$8bo\$8b3o\$obo\$b2o\$bo2\$6bo\$7bo2b2o5b
o\$5b3obobo3b2o\$11bo4b2o!

16.1701 in 7 gliders:
x = 25, y = 30, rule = B3/S23
24bo\$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: 440
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/S23
9bo\$10bo\$8b3o\$12bo\$11bo\$4bobo4b3o\$5b2o\$5bo2\$20bobo\$bo18b2o\$b2o18bo\$obo
8bo\$12b2o\$11b2o3bo\$14b2o\$15b2o!
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 459
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/S23
32bobo\$32b2o\$33bo12\$14bo\$12b2o\$13b2o2\$14bo\$13b2o\$13bobo2bo\$18bobo\$18b
2o16\$4b3o\$6bo\$5bo\$b2o\$obo\$2bo2\$30b2o\$2b2o25b2o\$bobo27bo\$3bo!

EDIT: 16.142 in 8 gliders:
x = 32, y = 28, rule = B3/S23
7bo\$5bobo\$bo4b2o\$2bo14bo\$3o7bo4b2o\$11b2o3b2o\$10b2o9\$16bobo\$17b2o\$17bo
5bobo\$19b2o2b2o\$19bobo2bo\$19bo5\$30b2o\$29b2o\$31bo!

EDIT 2: 16.641 in 6 gliders:
x = 17, y = 21, rule = B3/S23
7bo\$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: 440
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

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