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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

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/S2346bo\$44bobo\$45boo28bo\$73boo\$74boo11\$63bo\$63bobo24bo29bo19bo19bo19bo\$63boo24bobo27bobo17bobo17bobo17bobo\$88bobbo26bobbo16bobbo16bobbo16bobbo\$62bo24bo3bobo23bo3bobo13bo3bobo13bo3bobo7bo5bo3bobo\$60bobo24boo3bobo22boo3bobo12boo3bobo12boo3bobo5bo6boo3bobo\$61boo30bo29bo19bo19bo6b3o10bobo\$98boo28boo55bo\$98boo28boo35boo18boo\$166boo\$165bo\$130bobo35b3o\$130boo36bo\$131bo37bo\$\$4bo96boo28boo\$5bo95boo28boo\$3b3o\$\$boo\$obo24b3o27b3o\$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.
mniemiec

Posts: 1038
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### Re: 15 in 15: Efficient 15-bit Synthesis Project

BlinkerSpawn wrote:15.441:
`x = 36, y = 32, rule = B3/S23obo\$b2o\$bo13\$23b3o3\$16b2o\$18bo\$16b3o\$19b2o\$18b3o\$19bo4\$24b2o\$10b2o12b2o\$10b2o21b3o\$33bo\$34bo!`

In 13 gliders:

`x = 48, y = 45, rule = B3/S23obo\$b2o\$bo9\$27bo\$28b2o\$27b2o\$35bobo\$35b2o\$25bo10bo\$24bo\$24b3o\$20bo\$18bobo\$19b2o\$31bo\$30bo10bo\$30b3o8bobo\$41b2o2\$10bo\$11bo\$9b3o4\$17b2o\$18b2o15b2o\$17bo17bobo\$35bo4\$38b2o\$38bobo4b3o\$6b3o29bo6bo\$8bo37bo\$7bo!`
chris_c

Posts: 895
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### Re: 15 in 15: Efficient 15-bit Synthesis Project

15.406 in 12G:

`x = 122, y = 96, rule = B3/S2338bo\$39b2o20bo\$38b2o21bobo\$61b2o4\$62bo\$62bobo\$62b2o2\$47bo\$45bobo\$46b2o4\$38bo\$36bobo\$37b2o7\$46bo\$46b2o\$45bobo2b2o\$49b2o\$51bo8\$53b2o\$52bobo2b2o\$54bob2o\$47b3o8bo\$49bo\$48bo43\$b2o\$obo\$2bo5\$119b3o\$119bo\$120bo!`

15.410 in 12G:

`x = 36, y = 50, rule = B3/S234bo\$5bo\$3b3o15\$31bo\$4bo24b2o\$2bobo11bo13b2o\$3b2o12bo\$15b3o11bo\$30bo\$28b3o2\$35bo\$33b2o\$27bo6b2o\$26bo\$26b3o3\$11b3o\$13bo\$12bo3\$6b2o\$5bobo\$7bo5\$17b3o\$17bo\$18bo8b2o\$3o24bobo\$2bo24bo\$bo!`

Goldtiger997

Posts: 531
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

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

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/S2346bo\$44bobo\$45boo28bo\$73boo\$74boo11\$63bo\$63bobo24bo29bo19bo19bo19bo\$63boo24bobo27bobo17bobo17bobo17bobo\$88bobbo26bobbo16bobbo16bobbo16bobbo\$62bo24bo3bobo23bo3bobo13bo3bobo13bo3bobo7bo5bo3bobo\$60bobo24boo3bobo22boo3bobo12boo3bobo12boo3bobo5bo6boo3bobo\$61boo30bo29bo19bo19bo6b3o10bobo\$98boo28boo55bo\$98boo28boo35boo18boo\$166boo\$165bo\$130bobo35b3o\$130boo36bo\$131bo37bo\$\$4bo96boo28boo\$5bo95boo28boo\$3b3o\$\$boo\$obo24b3o27b3o\$bbo!`

That one actually wasn't mine. You may be thinking of this one:
`x = 32, y = 32, rule = B3/S235bo8b2o14b2o\$6b2o5bobo13bobo\$5b2o6bo14bobo\$12b2o14bo\$4bo22b2o\$4b2o\$3bobo2\$bo\$b2o\$obo14\$3bo\$bobo\$2b2o10b2o14b2o\$13bobo13bobo\$4b2o7bo14bobo\$3bo2bo5b2o14bo\$4bobo20b2o\$5bo!`
I Like My Heisenburps! (and others)

Extrementhusiast

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

15.416 in 14 gliders with really bad cleanup:

`x = 95, y = 98, rule = B3/S2312bo\$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!`

Goldtiger997

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

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/S23obo\$boo\$bo6\$30bo\$28boo\$29boo\$26bo\$24bobo\$25boo\$34bo56boo38boo\$32boo57boo38boo\$33boo\$28bo\$26bobo\$27boo3\$38bobo50boo38boo\$38boo50bobbo36bobbobbo\$39bo51boo38boobbo\$135b3o\$\$84boo38boo\$84boo22boboo12boo22boboo16boboo\$108boobbo7b3o25boobbo15boobbo\$106boo3boo9bo23boo3boo13boo3boo\$30bo76bo13bo25bo19bo\$31booboo3boo66bobo37bobo17bobo\$30boobbobobbobo66boo38boo18boo\$34bo4bo30\$81bo\$80boo\$80bobo14\$66bo\$67bo39bo42bobo\$65b3o40bo42boo7bo\$106b3o42bo6boo\$63boo94boo\$62bobo24b3o17b3o4bo\$64bo51bobo\$116boo\$128boboo16boboo16boboo\$128boobo16boobo5bobo8boobbo\$126boo18boo9boo7boo3boo\$127bo19bo10bo8bo\$127bobo17bobo17bobo\$128boo18boo18boo\$104b3o\$106bo12boo34boo\$105bo6boo4boo36boo\$111boo7bo34bo3b3o\$113bo45bo\$160bo!`
mniemiec

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

15.417 in 14 gliders again:

`x = 117, y = 96, rule = B3/S23o14bo\$b2o13bo\$2o12b3o2\$93bobo\$93b2o\$94bo16\$41bo\$42b2o\$41b2o2\$41bo\$41b2o17bo\$40bobo15b2o\$59b2o2\$55bo\$53b2o\$54b2o2\$55bo\$54b2o\$54bobo12\$39bo\$38bo\$38b3o2\$37b2o\$36bobo\$38bo13bo\$52b2o\$51bobo2\$55bo\$54b2o\$54bobo24\$9b3o\$11bo\$10bo6\$114b3o\$114bo\$115bo!`

Goldtiger997

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Location: 11.329903°N 142.199305°E

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

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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BlinkerSpawn

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

15.475:
`x = 24, y = 15, rule = B3/S2313b3o\$12bo3bo\$4b3o4bo5bo\$11bo5bo\$b2o8b3ob3o\$o2bo\$bobo17bo\$2bo16b2ob2o\$9b2o8bobo\$8bobo9bo\$9bo10bo2\$20b2o\$20bobo\$20bo!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

BlinkerSpawn

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

BlinkerSpawn wrote:15.475:
`x = 24, y = 15, rule = B3/S2313b3o\$12bo3bo\$4b3o4bo5bo\$11bo5bo\$b2o8b3ob3o\$o2bo\$bobo17bo\$2bo16b2ob2o\$9b2o8bobo\$8bobo9bo\$9bo10bo2\$20b2o\$20bobo\$20bo!`

This actually makes 15.470.
mniemiec

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Joined: June 1st, 2013, 12:00 am

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

mniemiec wrote:
BlinkerSpawn wrote:15.475:
`x = 24, y = 15, rule = B3/S2313b3o\$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/S23132bo\$133bo\$131b3o10\$161bo\$156bo3bo\$150bo3bobo3b3o\$148bobo4b2o\$4bo144b2o\$4bobo37b2o38b2o38b2o38b2o35b2o3bo\$3ob2o37bo2bo36bo2bo36bo2bo24bobo9bo2bo34bobobobo\$2bo40bobo37bobo37bobo25b2o10bobo38b2obo\$bo42bo39bo39bo27bo11bo41bo\$75bo40b2o21bo16b2o45bobo\$73bobo2b2o36bobo21b2o14bobo44b2o\$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).
AbhpzTa

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

15.418 in 14 gliders (again!):

`x = 48, y = 48, rule = B3/S2339bo\$38bo\$38b3o11\$2bo9bobo9bo\$obo10b2o7b2o\$b2o10bo9b2o\$8bo20bo\$8bobo18bobo\$8b2o19b2o3\$11bo\$9bobo\$10b2o\$24bo8b2o\$11b3o11bo7bobo\$11bo11b3o7bo\$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.

Goldtiger997

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

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/S232bo\$obo85bo\$b2o84bo\$87b3o10\$74b3o\$27bobo3bo\$28b2ob2o\$28bo3b2o\$38bo31b2o\$38bobo21b2o6b2o\$38b2o2b2o19bo2b2o13b2o\$42bobo18bobobo13b2o\$42bo21b2o\$22b2o42bo5b2o\$21bo2bo38bobo5bobo\$22bobo38b2o6b2o\$23bo6\$40b3o3b2o\$40bo4b2o\$41bo5bo3\$91bo\$90b2o\$90bobo!`
chris_c

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

15.431 in 10G:

`x = 30, y = 30, rule = B3/S2317bo\$17bobo\$17b2o\$15bo\$13bobo\$14b2o\$5bo\$3bobo\$4b2o\$b2o\$obo\$2bo11bo\$6bo6bo\$6b2o5b3o\$5bobo2\$8b2o4bo\$8bobo2b2o\$8bo4bobo2\$27b3o\$27bo\$28bo5\$3b2o\$4b2o\$3bo!`

Goldtiger997

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

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

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/S238bo\$7bo\$7b3o\$\$oo8boo8boo\$bobboo4bobo8bobbo\$bobobo4bo10bobobo\$bboo18boobo\$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/S236bo\$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.)
mniemiec

Posts: 1038
Joined: June 1st, 2013, 12:00 am

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

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/S2311bobo\$11b2o\$12bo\$obo\$b2o\$bo14bo\$14b2o\$15b2o8bo\$24bo\$24b3o2\$8bo2bo\$6bobo2bobo\$7b2o2b2o3\$14bo\$12bobo\$13b2o\$20b2o\$19b2o\$21bo3\$18bo\$17b2o\$17bobo4\$5b3o\$7bo\$6bo!`

It would have been 11 gliders but I did what mniemiec said and replaced a beehive with a glider.

Goldtiger997

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Joined: June 21st, 2016, 8:00 am
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### Re: 15 in 15: Efficient 15-bit Synthesis Project

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/S2317bo\$17bobo\$17boo3\$5bobo\$6boo21boo18boo\$o5bo21bobo17bobo\$boo26bo19bo\$oo44boo\$19bobo23bobo\$19boo11boo13bo4boo18boo\$8b3o9bo11bo3boo14bo3boo14bo3boo\$8bo5bo19bobbo16bobbo16bobbo\$9bo3bo19b4o16b4o16b4o\$13b3o\$35boo18boo18boo\$35boo18boo18boo\$13b3o\$13bo\$14bo4\$22bo\$21boo\$21bobo!`
mniemiec

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

An alternate method (sans cleanup) for 15.390 that I had forgotten to post before:
`x = 24, y = 22, rule = B3/S23bo\$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.)
I Like My Heisenburps! (and others)

Extrementhusiast

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Joined: June 16th, 2009, 11:24 pm
Location: USA

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

15.440 in 8G:

`x = 23, y = 47, rule = B3/S2320bo\$19bo\$19b3o15\$8bobo\$9b2o\$9bo10bo\$20bobo\$20b2o2\$12bo\$11bo\$11b3o4\$13bo\$12bo\$8b2o2b3o\$8bobo\$8bo8\$19b2o\$19bobo\$19bo\$b2o\$obo\$2bo!`

Goldtiger997

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

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

15.929 in six gliders:
`x = 49, y = 57, rule = B3/S2348bo\$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.
I Like My Heisenburps! (and others)

Extrementhusiast

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Location: USA

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

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.
mniemiec

Posts: 1038
Joined: June 1st, 2013, 12:00 am

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

15.1064 in a different way for 11 gliders:

`x = 50, y = 49, rule = B3/S23obo\$b2o\$bo20\$33bo\$34bo\$32b3o\$17bo18bo\$18bo16bo\$16b3o16b3o8\$30bo\$30bobo\$30b2o\$26b3o\$26bo8bo\$27bo6b2o\$34bobo10b2o\$20bobo24bobo\$21b2o24bo\$21bo18b2o\$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/S233\$2b3o\$4bo\$3bo3b2o\$6b2o5b2o\$8bo4bobo\$13bo!`

Goldtiger997

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

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

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/S2323b3o\$17bo\$boo14bo\$obbo13bo\$boo\$15boo\$16boo\$15bo6\$26b3o\$10boo14bo\$10boo15bo23\$43bo\$42boo\$42bobo!`
mniemiec

Posts: 1038
Joined: June 1st, 2013, 12:00 am

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

15.544(13) (, 15.873(? -> 11))
`x = 101, y = 57, rule = B3/S2387bo\$86bo\$86b3o\$64bo\$62bobo\$63b2o\$66bo\$66bobo\$9bobo54b2o\$9b2o52bo\$10bo45bo4b2o\$57bo4b2o\$55b3o2\$86b2o\$86bo\$87b3o\$85bobo2bo\$30b3o27b3o22b2o2bobo\$90bo\$obo\$b2o\$bo2\$b2o29b2o28b2o\$obo29b2o28b2o\$2bo10\$56bobobobobobobobobobobobobobobobobobobobobobobo2\$56bo43bo2\$5bo50bo8bo34bo\$3bobo57bobo\$4b2o3bobo44bo7b2o34bo\$b2o6b2o59bo\$obo7bo45bo11b2o30bo\$2bo14bo24bo4bo21b2o\$12b2o2bobo22bobo2bobo7bo4b2o9b2o17b2o2bo4bo\$6bo5bobo2bo24bobo2bo13bo2b2o6bobo16bo2bobo\$7b2o5b3o27b3o9bo5b2obo6bo19b2obo4bo\$6b2o5bo29bo19bo29bo\$13b2o28b2o11bo4bobo27bobo6bo\$8bo51bobo27bobo\$8b2o46bo4bo29bo8bo\$7bobo\$56bo43bo2\$56bobobobobobobobobobobobobobobobobobobobobobobo!`

@BlinkerSpawn

=15:
`15.446  15.447  15.485  15.487  15.516  15.598  15.653  15.751  15.786  15.83915.855  15.874  15.890  15.919  15.934  15.939  15.942  15.949  15.1024 15.103315.1034 15.1036 15.1060 15.1088`
`x = 98, y = 27, rule = B3/S232o8b2o8b2o2bo5b2o2bo8b2o5b2o8b2o3bo4b2o8bo10bo\$o2b2o5bo2b2o5bo2bobo4bo2bobo4bobob3o4bo2bo5bobobobo3bobo3bo3b3o7bobo\$b2o2bo5b2o2bo6b2obo5bobo2bo3b2o5bo3bobobobo5b2obo6bobobo5bo2b2o3bobo2bo\$2bobobo5bobobo6bob2o5bobobo9bo5bobob2o7bo8b2o2bo3bo2bo2bo4b4o\$2bo2bo6bo2bo7bo9bobo7bobo8bo10bobo8bobo4b2o2bobo2bo\$3b2o6b2o9b2o10bo8b2o8b2o11b2o8b2o10bo3bobo\$93b2o4\$b2o8b2obo5b2o8b2o2bo5b2ob2o8bo8b2o7bo8b2o8b2o\$bobo6bo2b2o5bo2bo6bo2bobo4bob2obo5b3o9bo6bobo7bo9bo2b2o\$3bo7bo10b4o6b2o2bo8bo4bo5b2o4bo8bo2bo6bo3bo5bobobo\$bob2o7b3o11bo7b2o9b2o4bo3bobo3bo10b5o5bobobo5bo3bo\$obo2bo9bo8bobo7bo11bo5bo2bo4bo5b2o9bo5b2o2bo9bo\$bo2bobo7bobo6bobo9bo9bo7bobo5b3obobo6bobo8bobo7bobo\$5bo8b2o7b2o9b2o9b2o7bo8b2o9b2o9b2o8b2o4\$2o8b2o8b2o8bo\$o2b2o5bo2b2o5bobobo2bo2b3o\$bobobo5b2ob3o6b5o5bo\$2bo3bo10bo14bo\$7bo8bo8bo6b2o3b2o\$4b3o8bo8bobo7bobobo\$4bo10b2o8bo8b2o!`

>15:
`15.451  15.457  15.458  15.475  15.476  15.477  15.478  15.480  15.483  15.48615.497  15.501  15.507  15.512  15.562  15.578  15.619  15.620  15.698  15.72315.731  15.759  15.791  15.797  15.834  15.835  15.840  15.848  15.849  15.86015.868  15.918  15.923  15.947  15.960  15.983  15.986  15.1001 15.1012 15.103215.1035 15.1065`
`x = 99, y = 47, rule = B3/S232o8b2o8b2o8b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2bo\$obo7bobo2b2o3bobo2b2o3bo4bo4bo2bo2bo3bo2bo2bo3bo2bo2bo3bo2bo2bo3bobobobo3bo2bobo\$2bo9bo3bo4bo2bobo4b3obo5bob2o6bob2o6b3obo5b4o7b2o8b2obo\$bob2obo4bob3o6b3o7bobo7bo9bo11bo16bo11bob2o\$o2bob2o4bobo11bo4bo12bobo4bobo10bo7b2o9bobo6bo\$2o10bo11b2o4b2o12b2o4b2o11b2o6b2o10b2o6b2o5\$2o2b2o4b2obo6b2ob2o5b2ob2obo4b2o7bo5bo3b2o8b2o8bo9b2o\$o2bobo4bob4o5bobo7bobob2o3bobo7b3o2bobo2bo2bo6bo2bo6b3o7bo\$b2o13bo4bobo7bo8bobob2o7bo2bo5b2o2b2o3b2obo8bo3b2o3bo4bo\$3b2o9b3o5bob2o6bo8bobo2bo5bob2o7bobobo5bobobo4b2o3bo3b2o3bobo\$3bo2bo6bo9bo2bo6bobo6bo2bobo4bo10bobo7bo2b2o6b2obo5b2o2bo\$5b2o6b2o10b2o7b2o10bo4b2o11b2o6b2o10bobo6bob2o5\$2o8b2o2bo5bob2o6b2o10bo9b2o7bo9b2o8b2o8b2o\$o2bo6bo2bobo4b2obo7bo9bobo7bobo6bobo8bobo7bobo6bo2bo\$2b2o8b2obo8b2o2b2obob2ob2o2bo2b3o4bo10bobob2o7bo9bo6b2o3bo\$3bob2obo6b2o9bo2bo2bob2o2bo2b2o3bo4b5o7b2obo5b2o8b2o9b4o\$3bobob2o6bo2bo7bobo8bobo2bo2bo10bo5bo8bo2b3o3bo2bobo7bo\$4bo12b2o8bo10bo3bobo8bobo7b3o4bobo3bo3b2o2bobo7bo\$43bo9b2o10bo5bo13bo7b2o4\$b2o7b2o2bo5b2o2bobo4bo9bo8bo9bo9b2o8b2o8b2o\$o2bob2o3bo2bobo4bo2bob2o3bobo7bobob2o4b3o7b3o8bo9bo2b2o4bo2b2o\$b2o3bo5b2o2bo5b2o7bo2bo6bo3bo7bo9bo7bob2o6bobobo5bobo\$3b2o9b2o7bo8b2obobo4b3o7bo3b2o4b2o2bo5bobo7bo3b2o4bo2bo\$3bo10bo7bo11bob2o6bobo5b2o2bo6bobobo6bob2o9bo5b2obo\$5bo10bo4bo12bo10bobo6bobo6bo2bo6bobobo7bo10bo\$4b2o9b2o4b2o10b2o11bo7b2o6b2o10bo10b2o9b2o4\$2o8b2o2bo\$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).
AbhpzTa

Posts: 472
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

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

Probably useless:

`x = 35, y = 32, rule = B3/S233bo\$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.

Alexey_Nigin

Posts: 323
Joined: August 4th, 2014, 12:33 pm
Location: Ann Arbor, MI

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