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15 in 15: Efficient 15-bit Synthesis Project (DONE!)

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

Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby mniemiec » October 29th, 2016, 12:00 pm

Goldtiger997 wrote:Here's 15.1207 in 14 gliders. In doing this, I discovered (or maybe re-discovered) a new "adding" mechanism.

I was not aware of this converter. (I may have seen it, but I didn't have it recorded in my list.)
Goldtiger997 wrote:Here's 15.1103 in 11 gliders: ...

The final step can be replaced by the Extrementhusiast's 3-glider add tail to anchored tub converter, for 10:
x = 187, y = 37, rule = B3/S23
46bo$44bobo$45boo28bo$73boo$74boo11$63bo$63bobo24bo29bo19bo19bo19bo$
63boo24bobo27bobo17bobo17bobo17bobo$88bobbo26bobbo16bobbo16bobbo16bobb
o$62bo24bo3bobo23bo3bobo13bo3bobo13bo3bobo7bo5bo3bobo$60bobo24boo3bobo
22boo3bobo12boo3bobo12boo3bobo5bo6boo3bobo$61boo30bo29bo19bo19bo6b3o
10bobo$98boo28boo55bo$98boo28boo35boo18boo$166boo$165bo$130bobo35b3o$
130boo36bo$131bo37bo$$4bo96boo28boo$5bo95boo28boo$3b3o$$boo$obo24b3o
27b3o$bbo!

EDIT: Bob had already used an improved 14.45 to make 15.405 from 11, so that can be removed from the list.
Last edited by mniemiec on October 29th, 2016, 2:10 pm, edited 1 time in total.
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby chris_c » October 29th, 2016, 12:02 pm

BlinkerSpawn wrote:15.441:
x = 36, y = 32, rule = B3/S23
obo$b2o$bo13$23b3o3$16b2o$18bo$16b3o$19b2o$18b3o$19bo4$24b2o$10b2o12b
2o$10b2o21b3o$33bo$34bo!


In 13 gliders:

x = 48, y = 45, rule = B3/S23
obo$b2o$bo9$27bo$28b2o$27b2o$35bobo$35b2o$25bo10bo$24bo$24b3o$20bo$18b
obo$19b2o$31bo$30bo10bo$30b3o8bobo$41b2o2$10bo$11bo$9b3o4$17b2o$18b2o
15b2o$17bo17bobo$35bo4$38b2o$38bobo4b3o$6b3o29bo6bo$8bo37bo$7bo!
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Goldtiger997 » October 29th, 2016, 8:43 pm

15.406 in 12G:

x = 122, y = 96, rule = B3/S23
38bo$39b2o20bo$38b2o21bobo$61b2o4$62bo$62bobo$62b2o2$47bo$45bobo$46b2o
4$38bo$36bobo$37b2o7$46bo$46b2o$45bobo2b2o$49b2o$51bo8$53b2o$52bobo2b
2o$54bob2o$47b3o8bo$49bo$48bo43$b2o$obo$2bo5$119b3o$119bo$120bo!


15.410 in 12G:

x = 36, y = 50, rule = B3/S23
4bo$5bo$3b3o15$31bo$4bo24b2o$2bobo11bo13b2o$3b2o12bo$15b3o11bo$30bo$
28b3o2$35bo$33b2o$27bo6b2o$26bo$26b3o3$11b3o$13bo$12bo3$6b2o$5bobo$7bo
5$17b3o$17bo$18bo8b2o$3o24bobo$2bo24bo$bo!
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Extrementhusiast » October 29th, 2016, 11:00 pm

mniemiec wrote:
Goldtiger997 wrote:Here's 15.1103 in 11 gliders: ...

The final step can be replaced by the Extrementhusiast's 3-glider add tail to anchored tub converter, for 10:
x = 187, y = 37, rule = B3/S23
46bo$44bobo$45boo28bo$73boo$74boo11$63bo$63bobo24bo29bo19bo19bo19bo$
63boo24bobo27bobo17bobo17bobo17bobo$88bobbo26bobbo16bobbo16bobbo16bobb
o$62bo24bo3bobo23bo3bobo13bo3bobo13bo3bobo7bo5bo3bobo$60bobo24boo3bobo
22boo3bobo12boo3bobo12boo3bobo5bo6boo3bobo$61boo30bo29bo19bo19bo6b3o
10bobo$98boo28boo55bo$98boo28boo35boo18boo$166boo$165bo$130bobo35b3o$
130boo36bo$131bo37bo$$4bo96boo28boo$5bo95boo28boo$3b3o$$boo$obo24b3o
27b3o$bbo!

That one actually wasn't mine. You may be thinking of this one:
x = 32, y = 32, rule = B3/S23
5bo8b2o14b2o$6b2o5bobo13bobo$5b2o6bo14bobo$12b2o14bo$4bo22b2o$4b2o$3bo
bo2$bo$b2o$obo14$3bo$bobo$2b2o10b2o14b2o$13bobo13bobo$4b2o7bo14bobo$3b
o2bo5b2o14bo$4bobo20b2o$5bo!
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Goldtiger997 » October 30th, 2016, 12:35 am

15.416 in 14 gliders with really bad cleanup:

x = 95, y = 98, rule = B3/S23
12bo$13bo$11b3o$4bo$5b2o$4b2o14$65bo$64bo$64b3o16$54bo$53bo$48bo4b3o$
47bo$47b3o7bo$56b2o$33bobo20bobo$33b2o$34bo16bo$50b2o$32b3o15bobo$34bo
$33bo2$43b2o$32b3o7b2o$34bo9bo$33bo37$92b2o$72b3o17bobo$72bo19bo$73bo$
b2o$obo$2bo!
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby mniemiec » October 30th, 2016, 6:02 am

Goldtiger997 wrote:15.416 in 14 gliders with really bad cleanup: ...

I was able to shave two off the cleanup. It might be possible to remove one more by using one to prevent the two blocks and beehive from forming. One can also achieve 12 gliders using a conventional approach:
x = 173, y = 100, rule = B3/S23
obo$boo$bo6$30bo$28boo$29boo$26bo$24bobo$25boo$34bo56boo38boo$32boo57b
oo38boo$33boo$28bo$26bobo$27boo3$38bobo50boo38boo$38boo50bobbo36bobbo
bbo$39bo51boo38boobbo$135b3o$$84boo38boo$84boo22boboo12boo22boboo16bob
oo$108boobbo7b3o25boobbo15boobbo$106boo3boo9bo23boo3boo13boo3boo$30bo
76bo13bo25bo19bo$31booboo3boo66bobo37bobo17bobo$30boobbobobbobo66boo
38boo18boo$34bo4bo30$81bo$80boo$80bobo14$66bo$67bo39bo42bobo$65b3o40bo
42boo7bo$106b3o42bo6boo$63boo94boo$62bobo24b3o17b3o4bo$64bo51bobo$116b
oo$128boboo16boboo16boboo$128boobo16boobo5bobo8boobbo$126boo18boo9boo
7boo3boo$127bo19bo10bo8bo$127bobo17bobo17bobo$128boo18boo18boo$104b3o$
106bo12boo34boo$105bo6boo4boo36boo$111boo7bo34bo3b3o$113bo45bo$160bo!
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Goldtiger997 » October 30th, 2016, 6:47 am

15.417 in 14 gliders again:

x = 117, y = 96, rule = B3/S23
o14bo$b2o13bo$2o12b3o2$93bobo$93b2o$94bo16$41bo$42b2o$41b2o2$41bo$41b
2o17bo$40bobo15b2o$59b2o2$55bo$53b2o$54b2o2$55bo$54b2o$54bobo12$39bo$
38bo$38b3o2$37b2o$36bobo$38bo13bo$52b2o$51bobo2$55bo$54b2o$54bobo24$9b
3o$11bo$10bo6$114b3o$114bo$115bo!
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby BlinkerSpawn » October 30th, 2016, 8:55 am

Extrementhusiast wrote:
mniemiec wrote:The final step can be replaced by the Extrementhusiast's 3-glider add tail to anchored tub converter, for 10:
3-glider add-tail

That one actually wasn't mine. You may be thinking of this one:
3-glider eater-to-boat-with-tail

I first saw the component from Bob Shemyakin, but I don't know the history of it.
EDIT: Here it is.
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby BlinkerSpawn » October 30th, 2016, 10:10 am

15.475:
x = 24, y = 15, rule = B3/S23
13b3o$12bo3bo$4b3o4bo5bo$11bo5bo$b2o8b3ob3o$o2bo$bobo17bo$2bo16b2ob2o$
9b2o8bobo$8bobo9bo$9bo10bo2$20b2o$20bobo$20bo!
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby mniemiec » October 30th, 2016, 1:36 pm

BlinkerSpawn wrote:15.475:
x = 24, y = 15, rule = B3/S23
13b3o$12bo3bo$4b3o4bo5bo$11bo5bo$b2o8b3ob3o$o2bo$bobo17bo$2bo16b2ob2o$
9b2o8bobo$8bobo9bo$9bo10bo2$20b2o$20bobo$20bo!

This actually makes 15.470.
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby AbhpzTa » October 31st, 2016, 10:13 am

mniemiec wrote:
BlinkerSpawn wrote:15.475:
x = 24, y = 15, rule = B3/S23
13b3o$12bo3bo$4b3o4bo5bo$11bo5bo$b2o8b3ob3o$o2bo$bobo17bo$2bo16b2ob2o$
9b2o8bobo$8bobo9bo$9bo10bo2$20b2o$20bobo$20bo!

This actually makes 15.470.

11 gliders:
x = 208, y = 26, rule = B3/S23
132bo$133bo$131b3o10$161bo$156bo3bo$150bo3bobo3b3o$148bobo4b2o$4bo144b
2o$4bobo37b2o38b2o38b2o38b2o35b2o3bo$3ob2o37bo2bo36bo2bo36bo2bo24bobo
9bo2bo34bobobobo$2bo40bobo37bobo37bobo25b2o10bobo38b2obo$bo42bo39bo39b
o27bo11bo41bo$75bo40b2o21bo16b2o45bobo$73bobo2b2o36bobo21b2o14bobo44b
2o$74b2ob2o38bo21b2o6b2o8bo$79bo66b2o$148bo!
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).
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Goldtiger997 » November 1st, 2016, 7:57 am

15.418 in 14 gliders (again!):

x = 48, y = 48, rule = B3/S23
39bo$38bo$38b3o11$2bo9bobo9bo$obo10b2o7b2o$b2o10bo9b2o$8bo20bo$8bobo
18bobo$8b2o19b2o3$11bo$9bobo$10b2o$24bo8b2o$11b3o11bo7bobo$11bo11b3o7b
o$12bo$25bo$24b2o$24bobo$16b3o$18bo$17bo$23b3o$23bo$24bo9$46bo$45b2o$
45bobo!


There are 3-glider syntheses to make the boat and block together but none of them worked without the loaf getting in the way.
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby chris_c » November 1st, 2016, 8:36 am

Goldtiger997 wrote:15.418 in 14 gliders (again!)


The boat, the block and the hive can all be replaced by gliders bringing this down to 11:

x = 93, y = 39, rule = B3/S23
2bo$obo85bo$b2o84bo$87b3o10$74b3o$27bobo3bo$28b2ob2o$28bo3b2o$38bo31b
2o$38bobo21b2o6b2o$38b2o2b2o19bo2b2o13b2o$42bobo18bobobo13b2o$42bo21b
2o$22b2o42bo5b2o$21bo2bo38bobo5bobo$22bobo38b2o6b2o$23bo6$40b3o3b2o$
40bo4b2o$41bo5bo3$91bo$90b2o$90bobo!
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Goldtiger997 » November 1st, 2016, 9:12 am

15.431 in 10G:

x = 30, y = 30, rule = B3/S23
17bo$17bobo$17b2o$15bo$13bobo$14b2o$5bo$3bobo$4b2o$b2o$obo$2bo11bo$6bo
6bo$6b2o5b3o$5bobo2$8b2o4bo$8bobo2b2o$8bo4bobo2$27b3o$27bo$28bo5$3b2o$
4b2o$3bo!
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby mniemiec » November 1st, 2016, 3:54 pm

Goldtiger997 wrote:15.417 in 14 gliders again: ...

Goldtiger997 wrote:15.418 in 14 gliders (again!): ...

chris_c wrote:The boat, the block and the hive can all be replaced by gliders bringing this down to 11: ...

15.418 can be turned into 15.417 with 2 gliders, reducing it from 14 to 13:
x = 26, y = 11, rule = B3/S23
8bo$7bo$7b3o$$oo8boo8boo$bobboo4bobo8bobbo$bobobo4bo10bobobo$bboo18boo
bo$4bo19bo$bobo17bobo$boo18boo!

Goldtiger997 wrote:15.431 in 10G: ...

The block can be replaced by a glider, reducing this to 9:
x = 48, y = 31, rule = B3/S23
6bo$7boo$6boo5$31bo$30bo$30b3o$$11bo4bobo$11bobobboo$11boo4bo$$8bobo$
9boo5b3o$9bo6bo$17bo$46boo$47bo$42boobo$41bobb3o$41boo4bo$19boo25boo$
19bobo$19bo$16boo$3o12bobo$bbo14bo$bo!

In many syntheses, it is possible to trim off a glider here or there this way, if a block or other small still life is used as a sacrificial eater. The same can sometimes be done by replacing more expensive sacrificial still-lifes like ships, or hard-to-place boats and loaves by blocks, beehives, or ponds. Also, it is sometimes possible to replace a block by a block-pair or 2-block constellation for the same cost, to alter (and sometimes eliminate) debris. A beehive can sometimes also be replaced by a 2-glider V spark. These are all things that can all be checked quickly, to see if there is any hope of them working. (If they don't immediately work, there's no need to waste time to see if could be salvaged by adding extra gliders, as they typically only save one glider apiece anyway.)
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Goldtiger997 » November 2nd, 2016, 8:51 am

mniemiec wrote:In many syntheses, it is possible to trim off a glider here or there this way, if a block or other small still life is used as a sacrificial eater. The same can sometimes be done by replacing more expensive sacrificial still-lifes like ships, or hard-to-place boats and loaves by blocks, beehives, or ponds. Also, it is sometimes possible to replace a block by a block-pair or 2-block constellation for the same cost, to alter (and sometimes eliminate) debris. A beehive can sometimes also be replaced by a 2-glider V spark. These are all things that can all be checked quickly, to see if there is any hope of them working. (If they don't immediately work, there's no need to waste time to see if could be salvaged by adding extra gliders, as they typically only save one glider apiece anyway.)


Thanks.

Here is 15.435 in 10 gliders:

x = 27, y = 33, rule = B3/S23
11bobo$11b2o$12bo$obo$b2o$bo14bo$14b2o$15b2o8bo$24bo$24b3o2$8bo2bo$6bo
bo2bobo$7b2o2b2o3$14bo$12bobo$13b2o$20b2o$19b2o$21bo3$18bo$17b2o$17bob
o4$5b3o$7bo$6bo!


It would have been 11 gliders but I did what mniemiec said and replaced a beehive with a glider.
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby mniemiec » November 2nd, 2016, 9:53 am

Goldtiger997 wrote:Here is 15.435 in 10 gliders: ...

You can shave off one more by replacing a block by a glider:
x = 78, y = 27, rule = B3/S23
17bo$17bobo$17boo3$5bobo$6boo21boo18boo$o5bo21bobo17bobo$boo26bo19bo$
oo44boo$19bobo23bobo$19boo11boo13bo4boo18boo$8b3o9bo11bo3boo14bo3boo
14bo3boo$8bo5bo19bobbo16bobbo16bobbo$9bo3bo19b4o16b4o16b4o$13b3o$35boo
18boo18boo$35boo18boo18boo$13b3o$13bo$14bo4$22bo$21boo$21bobo!
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Extrementhusiast » November 2nd, 2016, 7:37 pm

An alternate method (sans cleanup) for 15.390 that I had forgotten to post before:
x = 24, y = 22, rule = B3/S23
bo$2bo$3o13bo$14b2o$15b2o$4b3o$22bo$20b2o$21b2o2$bobo$2b2o$2bo11b2o6bo
$13b2o6b2o$3b2o10bo5bobo$4b2o$3bo13b3o$17bo$18bo$15bo$15b2o$14bobo!

Cleanup seems possible in two gliders, although I haven't yet found an example. (It's definitely doable in three.)
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Goldtiger997 » November 2nd, 2016, 7:59 pm

15.440 in 8G:

x = 23, y = 47, rule = B3/S23
20bo$19bo$19b3o15$8bobo$9b2o$9bo10bo$20bobo$20b2o2$12bo$11bo$11b3o4$
13bo$12bo$8b2o2b3o$8bobo$8bo8$19b2o$19bobo$19bo$b2o$obo$2bo!
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Extrementhusiast » November 2nd, 2016, 8:13 pm

15.929 in six gliders:
x = 49, y = 57, rule = B3/S23
48bo$46b2o$47b2o$6bo$7bo$5b3o15$32bo$30b2o$31b2o5$26bo$24bobo$25b2o$
29bo$27b2o$28b2o22$3o$2bo$bo!

This also solves 15.928 and 15.1013, possibly more.
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby mniemiec » November 3rd, 2016, 3:45 am

Extrementhusiast wrote:15.929 in six gliders: ... This also solves 15.928 and 15.1013, possibly more.

Nice! This also drastically improves 15.1064 (26 gliders down to 18), but doesn't quite solve it.
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Goldtiger997 » November 3rd, 2016, 8:41 am

15.1064 in a different way for 11 gliders:

x = 50, y = 49, rule = B3/S23
obo$b2o$bo20$33bo$34bo$32b3o$17bo18bo$18bo16bo$16b3o16b3o8$30bo$30bobo
$30b2o$26b3o$26bo8bo$27bo6b2o$34bobo10b2o$20bobo24bobo$21b2o24bo$21bo
18b2o$39bobo$21b2o18bo$22b2o$21bo!


It can probably be reduced to 10 gliders using the following method to construct the block and the blinker at once, but I was finding it quite difficult to slot the methulesah in with it already made. Someone else may be able to because I didn't try for too long as it was already easily under 15 gliders.

x = 19, y = 14, rule = B3/S23
3$2b3o$4bo$3bo3b2o$6b2o5b2o$8bo4bobo$13bo!
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby mniemiec » November 3rd, 2016, 11:11 am

Goldtiger997 wrote:15.1064 in a different way for 11 gliders: ... It can probably be reduced to 10 gliders using the following method to construct the block and the blinker at once, but I was finding it quite difficult to slot the methulesah in with it already made. Someone else may be able to because I didn't try for too long as it was already easily under 15 gliders. ...

The J can also be made from a glider-blinker collision, although the glider also has to pass through the block. This could reduced if someone has another way to make the J, or to make the beehive and nearer blinker from 3 gliders.
x = 45, y = 41, rule = B3/S23
23b3o$17bo$boo14bo$obbo13bo$boo$15boo$16boo$15bo6$26b3o$10boo14bo$10b
oo15bo23$43bo$42boo$42bobo!
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby AbhpzTa » November 3rd, 2016, 2:07 pm

15.544(13) (, 15.873(? -> 11))
x = 101, y = 57, rule = B3/S23
87bo$86bo$86b3o$64bo$62bobo$63b2o$66bo$66bobo$9bobo54b2o$9b2o52bo$10bo
45bo4b2o$57bo4b2o$55b3o2$86b2o$86bo$87b3o$85bobo2bo$30b3o27b3o22b2o2bo
bo$90bo$obo$b2o$bo2$b2o29b2o28b2o$obo29b2o28b2o$2bo10$56bobobobobobobo
bobobobobobobobobobobobobobobobo2$56bo43bo2$5bo50bo8bo34bo$3bobo57bobo
$4b2o3bobo44bo7b2o34bo$b2o6b2o59bo$obo7bo45bo11b2o30bo$2bo14bo24bo4bo
21b2o$12b2o2bobo22bobo2bobo7bo4b2o9b2o17b2o2bo4bo$6bo5bobo2bo24bobo2bo
13bo2b2o6bobo16bo2bobo$7b2o5b3o27b3o9bo5b2obo6bo19b2obo4bo$6b2o5bo29bo
19bo29bo$13b2o28b2o11bo4bobo27bobo6bo$8bo51bobo27bobo$8b2o46bo4bo29bo
8bo$7bobo$56bo43bo2$56bobobobobobobobobobobobobobobobobobobobobobobo!


@BlinkerSpawn

=15:
15.446  15.447  15.485  15.487  15.516  15.598  15.653  15.751  15.786  15.839
15.855  15.874  15.890  15.919  15.934  15.939  15.942  15.949  15.1024 15.1033
15.1034 15.1036 15.1060 15.1088
x = 98, y = 27, rule = B3/S23
2o8b2o8b2o2bo5b2o2bo8b2o5b2o8b2o3bo4b2o8bo10bo$o2b2o5bo2b2o5bo2bobo4bo
2bobo4bobob3o4bo2bo5bobobobo3bobo3bo3b3o7bobo$b2o2bo5b2o2bo6b2obo5bobo
2bo3b2o5bo3bobobobo5b2obo6bobobo5bo2b2o3bobo2bo$2bobobo5bobobo6bob2o5b
obobo9bo5bobob2o7bo8b2o2bo3bo2bo2bo4b4o$2bo2bo6bo2bo7bo9bobo7bobo8bo
10bobo8bobo4b2o2bobo2bo$3b2o6b2o9b2o10bo8b2o8b2o11b2o8b2o10bo3bobo$93b
2o4$b2o8b2obo5b2o8b2o2bo5b2ob2o8bo8b2o7bo8b2o8b2o$bobo6bo2b2o5bo2bo6bo
2bobo4bob2obo5b3o9bo6bobo7bo9bo2b2o$3bo7bo10b4o6b2o2bo8bo4bo5b2o4bo8bo
2bo6bo3bo5bobobo$bob2o7b3o11bo7b2o9b2o4bo3bobo3bo10b5o5bobobo5bo3bo$ob
o2bo9bo8bobo7bo11bo5bo2bo4bo5b2o9bo5b2o2bo9bo$bo2bobo7bobo6bobo9bo9bo
7bobo5b3obobo6bobo8bobo7bobo$5bo8b2o7b2o9b2o9b2o7bo8b2o9b2o9b2o8b2o4$
2o8b2o8b2o8bo$o2b2o5bo2b2o5bobobo2bo2b3o$bobobo5b2ob3o6b5o5bo$2bo3bo
10bo14bo$7bo8bo8bo6b2o3b2o$4b3o8bo8bobo7bobobo$4bo10b2o8bo8b2o!

>15:
15.451  15.457  15.458  15.475  15.476  15.477  15.478  15.480  15.483  15.486
15.497  15.501  15.507  15.512  15.562  15.578  15.619  15.620  15.698  15.723
15.731  15.759  15.791  15.797  15.834  15.835  15.840  15.848  15.849  15.860
15.868  15.918  15.923  15.947  15.960  15.983  15.986  15.1001 15.1012 15.1032
15.1035 15.1065
x = 99, y = 47, rule = B3/S23
2o8b2o8b2o8b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2bo$obo
7bobo2b2o3bobo2b2o3bo4bo4bo2bo2bo3bo2bo2bo3bo2bo2bo3bo2bo2bo3bobobobo
3bo2bobo$2bo9bo3bo4bo2bobo4b3obo5bob2o6bob2o6b3obo5b4o7b2o8b2obo$bob2o
bo4bob3o6b3o7bobo7bo9bo11bo16bo11bob2o$o2bob2o4bobo11bo4bo12bobo4bobo
10bo7b2o9bobo6bo$2o10bo11b2o4b2o12b2o4b2o11b2o6b2o10b2o6b2o5$2o2b2o4b
2obo6b2ob2o5b2ob2obo4b2o7bo5bo3b2o8b2o8bo9b2o$o2bobo4bob4o5bobo7bobob
2o3bobo7b3o2bobo2bo2bo6bo2bo6b3o7bo$b2o13bo4bobo7bo8bobob2o7bo2bo5b2o
2b2o3b2obo8bo3b2o3bo4bo$3b2o9b3o5bob2o6bo8bobo2bo5bob2o7bobobo5bobobo
4b2o3bo3b2o3bobo$3bo2bo6bo9bo2bo6bobo6bo2bobo4bo10bobo7bo2b2o6b2obo5b
2o2bo$5b2o6b2o10b2o7b2o10bo4b2o11b2o6b2o10bobo6bob2o5$2o8b2o2bo5bob2o
6b2o10bo9b2o7bo9b2o8b2o8b2o$o2bo6bo2bobo4b2obo7bo9bobo7bobo6bobo8bobo
7bobo6bo2bo$2b2o8b2obo8b2o2b2obob2ob2o2bo2b3o4bo10bobob2o7bo9bo6b2o3bo
$3bob2obo6b2o9bo2bo2bob2o2bo2b2o3bo4b5o7b2obo5b2o8b2o9b4o$3bobob2o6bo
2bo7bobo8bobo2bo2bo10bo5bo8bo2b3o3bo2bobo7bo$4bo12b2o8bo10bo3bobo8bobo
7b3o4bobo3bo3b2o2bobo7bo$43bo9b2o10bo5bo13bo7b2o4$b2o7b2o2bo5b2o2bobo
4bo9bo8bo9bo9b2o8b2o8b2o$o2bob2o3bo2bobo4bo2bob2o3bobo7bobob2o4b3o7b3o
8bo9bo2b2o4bo2b2o$b2o3bo5b2o2bo5b2o7bo2bo6bo3bo7bo9bo7bob2o6bobobo5bob
o$3b2o9b2o7bo8b2obobo4b3o7bo3b2o4b2o2bo5bobo7bo3b2o4bo2bo$3bo10bo7bo
11bob2o6bobo5b2o2bo6bobobo6bob2o9bo5b2obo$5bo10bo4bo12bo10bobo6bobo6bo
2bo6bobobo7bo10bo$4b2o9b2o4b2o10b2o11bo7b2o6b2o10bo10b2o9b2o4$2o8b2o2b
o$o2b2o5bo2bobo$b2obo7b2obo$5b2o7bo$7bo6bobo$4bobo8bobo$4b2o10bo!
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).
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Re: 15 in 15: Efficient 15-bit Synthesis Project

Postby Alexey_Nigin » November 3rd, 2016, 2:38 pm

Probably useless:

x = 35, y = 32, rule = B3/S23
3bo$2bobo$2bo2bo$3b2o3$3o5$8b3o$10bo21b2o$8b3o20bo2bo$32b2o9$20bo$20bo
$20bo$6bo$5bobo8b3o3b3o$6b2o$20bo$20bo$20bo!
There are 10 types of people in the world: those who understand binary and those who don't.
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