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Soup search results

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

Re: Soup search results

Postby BobShemyakin » October 20th, 2016, 1:32 pm

Here's 6 15-bit still lifes
15.647:
x = 129, y = 22, rule = B3/S23
$95bobo$96b2o$96bo3bo$100bobo$100b2o$2bobo52bo$3b2o53bo$3bo10bo41b3o
62b2o$12b2o107bo$5b3o5b2o12b2o18b2o6b3o9b2o18b2o12bo15b2o3bo$7bo19bo2b
o16bo2bo4bo11bo2bob2o13bo2bob2o6b2o15bo2bobo$6bo22b2o18b2o5bo12b2obobo
14b2obobo5bobo16b2obobo$73bo19bo29b2o$10bo42bo$9b2o42b2o$9bobo40bobo!

15.652:
x = 155, y = 17, rule = B3/S23
85bo$86bo$84b3o$o45bobo19b2o18b2o$b2o3bobo5bo18b2o12b2o4b2o12bo2bo2b2o
12bo2bo2b2o14b2o2b2o14b2o2b2o14b2o2b2o$2o5b2o4bo17bo2bo12bo3bo2bo13b2o
bo2bo13b2obo2bo14bobo2bo14bobo2bo14bobo2bo$7bo5b3o15b2o18b2o18b2o18b2o
18b2o18b2o18b2o$28b2obo13bo2b2obo19bo19bo19bo19bo19bo$14bo13b2o2bo10bo
bo2b2o2bo19bo19bo19bo19bo19bo$4b2o7b2o16b2o11b2o5b2o18b2o18b2o18b2o18b
2o3bo16bo$5b2o6bobo31bo87bo18bo$4bo42b2o86b3o15b2o$46bobo82b2o$7b2o41b
2o78bobo$7bobo40bobo79bo3b2o$7bo42bo86b2o$136bo!

15/658:
x = 112, y = 31, rule = B3/S23
$83bo$84bo$82b3o2$80bo17bo$81bo16bobo$79b3o16b2o5$97bo$54bo40b2o$15bo
36b2o42b2o$13b2o38b2o$14b2o83bo$56bo12bo19bo8b2o8b2o$55b2o12bo19bo8bob
o7bo$55bobo11bo19bo19bo$23b2o18b2o18b2o18b2o18b2o3b2o$22bo2bobo14bo2bo
bo14bo2bobo14bo2bobo14bo2bobo$3b2o2b3o12b2o2b2o14b2o2b2o14b2o2b2o14b2o
2b2o14b2o2b2o$2bobo2bo$4bo3bo3$9b2o$8b2o$10bo!

15.668:
x = 119, y = 34, rule = B3/S23
5$87bo$54bo33bo$54bobo21bo7b3o9bo$54b2o2b3o16bobo17bobo$58bo18bo2bo16b
o2bo$59bo18b2o18b2o3bo$93bo9bobo$72b3o18bo9b2o$93bo$95b3o$95bo$96bo4bo
$101bobo$11bo89b2o10b2o$10bo8bo93bobo$10b3o5bo9b2o18b2o18b2o18b2o18b2o
6bo$18b3o7bobo17bobo17bobo17bobo17bobo3b2o$4bobo24bob2obo14bob2obo14bo
b2obo14bob2obo14bobo$5b2o8bo16b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2o$5bo
8b2o6bo$14bobo4b2o$3b3o15bobo77bo$5bo5b3o86b2o$4bo8bo86bobo$12bo!

15.708:
x = 96, y = 45, rule = B3/S23
12$57bo$58b2obo$50bobo4b2o2bobo$6b2o43b2o8b2o4bo$5bobo2b2o39bo14bo$7bo
2bobo46bo6b3o$10bo38b2o6b2o3b3o$50b2o6b2o2bo13bo$49bo13bo11bobo$34b2o
18b2o18bobo$34bo19bo19bo$35bo19bo19bo$32b4o16b4o16b4o$32bo19bo19bo$33b
o19bo19bo$32b2o18b2o18b2o$9b2o$9bobo$5b2o2bo$4bobo$6bo$12b3o$12bo$13bo
4$27b2o$27bobo$27bo!

15.712:
x = 117, y = 36, rule = B3/S23
6$8bo$7bo$7b3o51bo$62bo$60b3o2$63bobo$14bo3bobo36bo5b2o$6b2o7b2ob2o35b
obo6bo$7b2o5b2o3bo10b2o18b2o4b2o17b2o18b2o$6bo24bo19bo24bo19bo$31bobo
17bobo7bobo12bobo3b2o12bobo3b2o$15b2o15b2o18b2o7b2o14b2o3bo14b2o3bo$
16b2o16b2o18b2o6bo16b2obo16b2obo$15bo18bobo17bobo22bobo17bobo$35bo19bo
24bo$22bo$21b2o55b2ob2o$21bobo53bobobobo$79bobo!


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Re: Soup search results

Postby mniemiec » October 20th, 2016, 5:56 pm

BobShemyakin wrote:Here's 6 15-bit still lifes ...

These syntheses yield a few others as well.
Row 1: 15.649 from 8.
Row 2: 15.652: The base 13.212 can be made from 9 reducing this to 12, which also gives 15.431 from 13
Row 3: 15.652 and 15.925 can also be made from related 13.211 from 12.
Row 4: 15.658 from 10.
EDIT: Row 5: From the converter used in 15.668, we also get 15.1035 from 12:
x = 147, y = 176, rule = B3/S23
obo$boo$bo$$95bo$96bo4bobo$94b3o4boo$102bo$$103b3o$103bo$104bo$34bo19b
o19bo19bo18boo$33bobo17bobo17bobo17bobo17bo$34boo18boo18boo18boo18b3ob
o$18bobo96boo$18boo14boo18boo18boo18boo18boo$19bo14bo19bo19bo19bo19bo$
35bo19bo19bo19bo19bo$34boo18boo18boo18boo18boo3$12bo$11bo$11b3o3$10b3o
20boo18boo$10bo22boo18boo$11bo37b3o$51bo$50bo12$23bo$21boo$22boo$32bo$
30boo$31boo3$o$boo$oo3$58boo$57bobo3bo37bobo$25bo33boboo34bo3boo$26bo
35boo34boobbo$24b3o21boo18boo12boo4boo7boo9boo18boo$10boo37bo10bo8bo
12bobo4bo19bo19bo$9bobo32boobo12boobboobo17bobo16boobo16boobo$11bo11b
3o18bob3o10bobobbob3o17b3o15bob3o14bobb3o$25bo23bo19bo19bo19bo13boo4bo
$24bo23boo18boo18boo12bo5boo18boo$97bo3boo$95bobo3bobo$96boo3$3boo19b
3o$bbobo19bo$4bo20bo5$28boo$27boo$29bo11$bbobo$3boo$3bo8bo$10bobo88bob
o$11boo89boo$102bo$19bo41bobo$6bo13boo35bo3boo37boo$7bo11boo4bo32boobb
o38boo20boo$5b3o17bobo20boo7boo9boo12boo4boo10bo7boo13bo4boo$b3o21boo
17boo3bo14boo3bo12bobo4bo14boo3bo14bo4bo$3bo40bobbo16bobbo17bobo16bobb
o17bobo$bbo43b3o17b3o17b3o17b3o17b3o$31bo17bo19bo19bo19bo19bo$30boo16b
oo18boo18boo18boo18boo$30bobo4$27b3o$27bo$28bo$3boo8b3o$bbobo10bo$4bo
9bo15$93bo$92bo$92b3o$44bo45bo$43bo44bobo$obo40b3o43boo$boo38bo$bo37bo
bo42bo$40boo40bobo$83boo$13bobo48bo29bo$8bo4boo49bo29bo20boo$8bobo3bo
49bo29bo18bobbo$8boo17boo18boo18boo28boo14boobboo$28bo19bo19bo29bo19bo
$27bo19bo19bo29bo19bo$8b3o15bo19bo19bo29bo19bo$8bo17bobo17bobo17bobo
27bobo17bobo$9bo17boo18boo18boo28boo18boo4$94bo$93boo$93bobo5$132boo$
128bobboo$46bo79bobo4bo$o3bobo39bobo78boo$booboo14boobo16boobobboo12b
ooboboo13booboboo13booboo15booboo15booboobo$oo3bo13bobboo15bobboo5boo
8bobbooboo12bobbooboo6boo4bobboobo13bobboobo13bobbooboo$19boo18boo8bob
o7boo18boo8boobbobo3boo5bo12boo5bo12boo$49bo40boobo13bo19bo$3o86bo16b
oo18boo$bbo$bo4bo118bo$5boo117boo$5bobo116bobo$$78bo$78boo$77bobo!
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Re: Soup search results

Postby Goldtiger997 » October 20th, 2016, 6:58 pm

Great Job!

Which still-lifes are still left?

I've got stuck on 15.310.

I couldn't synthesise it, or some smaller still-lifes that can be used to make it (in a 16 glider sythesis) in few enough gliders.

x = 14, y = 8, rule = B3/S23
2$10b2o$2b2o3bobobo$3bo3b2o$3bob2o$4bobo!
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Re: Soup search results

Postby mniemiec » October 20th, 2016, 8:16 pm

Goldtiger997 wrote:I've got stuck on 15.310. ...

By doing it in a different order, it can be done with 15:
x = 155, y = 18, rule = B3/S23
82bo$4bo76bo$bbobo32bo43b3o$3boo33boo$37boo10bobo26bobo$49boo28boo5bo$
50bo28bo6bobo$22bo19bo5bo37boo$8bo12bobo17bobo3boo5bo18boo18boo18boo
18boo18boo$bo5boo11bobo17bobo4bobo3boo15bobobo5bobo7bobobo10boo3bobobo
10boo3bobobo10boo3bobobo$bboo3bobo10boo18boo11bobo14boo9boo7boo14bo3b
oo14bo3boo14bo3boo$boo15boo18boo28boo11bo6boo16boboo16boboo16boboo$17b
obo17bobo27bobo17bobo17bobo17bobo17bobo$18bo19bo29bo19bo19bo19bo$oo3bo
$booboo120booboo$o3bobo118bobobobo$127bobo!
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Re: Soup search results

Postby Extrementhusiast » October 20th, 2016, 10:40 pm

mniemiec wrote:Row 2: 15.652: The base 13.212 can be made from 9 reducing this to 12, which also gives 15.431 from 13

Actually, the base (as well as a variant with mango) can be made from only seven gliders:
x = 48, y = 44, rule = B3/S23
20bo3bo$21b2obobo17b2o$20b2o2b2o19bo$2bo37b2obo$obo37bob3o$b2o42bo$24b
2o3bo14b2o$24b2o2bo$28b3o2$31b3o$25b2o4bo$9b3o12bo2bo4bo$9bo15b2o$10bo
2$8b2o$9b2o$8bo11$20bo3bo$12bo8b2obobo17b2o$11bo8b2o2b2o19bo$11b3o26b
2obo$9bo30bob3o$10bo34bo$8b3o13b2o3bo14bobo$24b2o2bo15bo2bo$28b3o14bob
o$46bo$31b3o$31bo$25bo6bo$25b2o$24bobo!
I Like My Heisenburps! (and others)
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Re: Soup search results

Postby mniemiec » October 21st, 2016, 3:33 am

I wrote:Row 2: 15.652: The base 13.212 can be made from 9 reducing this to 12, which also gives 15.431 from 13

Extrementhusiast wrote:Actually, the base (as well as a variant with mango) can be made from only seven gliders: ...

This then also reduces 15.926 to 11:
x = 31, y = 14, rule = B3/S23
bbo$3bo$b3o$$6bo$5bo$bo3b3o$bboo20boo$boo6boo13bo4boo$10bo14bo4bo$5boo
bo17bobo$bbobbob3o17b3o$obo7bo19bo$boo6boo18boo!
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Re: Soup search results

Postby Goldtiger997 » October 21st, 2016, 5:53 am

mniemiec wrote:
Goldtiger997 wrote:I've got stuck on 15.310. ...

By doing it in a different order, it can be done with 15:
x = 155, y = 18, rule = B3/S23
82bo$4bo76bo$bbobo32bo43b3o$3boo33boo$37boo10bobo26bobo$49boo28boo5bo$
50bo28bo6bobo$22bo19bo5bo37boo$8bo12bobo17bobo3boo5bo18boo18boo18boo
18boo18boo$bo5boo11bobo17bobo4bobo3boo15bobobo5bobo7bobobo10boo3bobobo
10boo3bobobo10boo3bobobo$bboo3bobo10boo18boo11bobo14boo9boo7boo14bo3b
oo14bo3boo14bo3boo$boo15boo18boo28boo11bo6boo16boboo16boboo16boboo$17b
obo17bobo27bobo17bobo17bobo17bobo17bobo$18bo19bo29bo19bo19bo19bo$oo3bo
$booboo120booboo$o3bobo118bobobobo$127bobo!


Due to that alternate order, here is a 13 glider synthesis

x = 61, y = 57, rule = B3/S23
bo$2bo$3o4$54bo$53bo$53b3o3$58bo$45bo12bobo$43b2o13b2o$27bo16b2o$28b2o
$27b2o4$27bo$25bobo$26b2o3bo15bo$29b2o15b2o$30b2o14bobo$41b2o$41bobo$
41bo6$38b2o$37b2o$39bo15$3o$2bo$bo48b2o$49b2o$51bo3b2o$54b2o$56bo!
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Re: Soup search results

Postby BobShemyakin » October 21st, 2016, 11:21 am

Goldtiger997 wrote:
mniemiec wrote:
Goldtiger997 wrote:I've got stuck on 15.310. ...

By doing it in a different order, it can be done with 15: ...


Due to that alternate order, here is a 13 glider synthesis ...

here is a 11 glider synthesis:
x = 115, y = 30, rule = B3/S23
3$15bo$15bobo$15b2o3$39bo$38bo$38b3o2$35bobo$4bo4bo26b2o5bo$5b2o2bobo
24bo6bobo$4b2o3b2o32b2o$30b2o18b2o18b2o18b2o18b2o$27bobobo5bobo7bobobo
10b2o3bobobo10b2o3bobobo10b2o3bobobo$27b2o9b2o7b2o14bo3b2o14bo3b2o14bo
3b2o$7b2o6b3o7b2o11bo6b2o16bob2o16bob2o16bob2o$8b2o5bo8bobo17bobo17bob
o17bobo17bobo$7bo8bo8bo19bo19bo19bo2$83b2ob2o$82bobobobo$84bobo!

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Re: Soup search results

Postby Goldtiger997 » October 22nd, 2016, 8:52 am

Here's another 15-bit still-life

x = 101, y = 94, rule = B3/S23
5bobo$6b2o$6bo$bo90bo$2bo88bo$3o88b3o18$91bo$90bo$90b3o12$55bobo$51b2o
2b2o$51bobo2bo$51bo4$52b3o$52bo$53bo$61b2o$44bo16bobo$42bobo16bo$43b2o
13b2o$57bobo$59bo4$53b2o$52b2o$54bo$46b2o$47b2o$46bo16$98b2o$98bobo$
98bo12$3b2o$4b2o$3bo!


@ mniemiec & BobShemyakin: How many are left?

I haven't found a suitable glider synthesis for 15.337 yet, so is there an alternative way of using smaller still-lifes to construct it, other than the one below?

x = 148, y = 17, rule = B3/S23
39bo42bobo$40bo41b2o$38b3o42bo$76bo$3bo38bo34bo$bobo5bo30b2o33b3o$2b2o
3b2o32b2o$8b2o50b2o10b3o5b2o17bobo14bo2bobo19bo$11b2o13b2o18b2o12bobo
3b2o6bo5bobo3b2o11b2obo3b2o6bobo2b2obo3b2o12bobo3b2o$11bobo9bobobo10bo
bo2bobobo14bo2bobo5bo8bo2bobo14bo2bobo3b2o2b2o5bo2bobo9bobo2bo2bobo$b
2o8bo11b2o14b2o2b2o17bobo17bobo17bobo7b2o8bobo12b2o3bobo$obo36bo23bo
19bo19bo7bo7bo3bo19bo$2bo115b2o$40b3o75bobo$40bo74b2o$41bo72bobo$116bo
!
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Re: Soup search results

Postby BobShemyakin » October 22nd, 2016, 12:24 pm

Goldtiger997 wrote:Here's another 15-bit still-life

x = 101, y = 94, rule = B3/S23
5bobo$6b2o$6bo$bo90bo$2bo88bo$3o88b3o18$91bo$90bo$90b3o12$55bobo$51b2o
2b2o$51bobo2bo$51bo4$52b3o$52bo$53bo$61b2o$44bo16bobo$42bobo16bo$43b2o
13b2o$57bobo$59bo4$53b2o$52b2o$54bo$46b2o$47b2o$46bo16$98b2o$98bobo$
98bo12$3b2o$4b2o$3bo!


@ mniemiec & BobShemyakin: How many are left?

I haven't found a suitable glider synthesis for 15.337 yet, so is there an alternative way of using smaller still-lifes to construct it, other than the one below?

x = 148, y = 17, rule = B3/S23
39bo42bobo$40bo41b2o$38b3o42bo$76bo$3bo38bo34bo$bobo5bo30b2o33b3o$2b2o
3b2o32b2o$8b2o50b2o10b3o5b2o17bobo14bo2bobo19bo$11b2o13b2o18b2o12bobo
3b2o6bo5bobo3b2o11b2obo3b2o6bobo2b2obo3b2o12bobo3b2o$11bobo9bobobo10bo
bo2bobobo14bo2bobo5bo8bo2bobo14bo2bobo3b2o2b2o5bo2bobo9bobo2bo2bobo$b
2o8bo11b2o14b2o2b2o17bobo17bobo17bobo7b2o8bobo12b2o3bobo$obo36bo23bo
19bo19bo7bo7bo3bo19bo$2bo115b2o$40b3o75bobo$40bo74b2o$41bo72bobo$116bo
!

If you remove 4 glider get 13.214 (11G-> 10G):
x = 77, y = 67, rule = B3/S23
7$52bo$51bo$51b3o12$16bobo$12b2o2b2o$12bobo2bo$12bo4$13b3o$13bo$14bo$
22b2o$5bo16bobo$3bobo16bo$4b2o13b2o50b2o$18bobo50bo$20bo51bo$69b3o$68b
o$69bo$14b2o54bobo$13b2o56b2o$15bo$7b2o$8b2o$7bo16$59b2o$59bobo$59bo!

15.337 replace last converter:
x = 148, y = 16, rule = B3/S23
39bo42bobo$40bo41b2o$38b3o42bo$76bo$3bo38bo34bo$bobo5bo30b2o33b3o$2b2o
3b2o32b2o72bo$8b2o50b2o10b3o5b2o17bobo14bo2bobo19bo$11b2o13b2o18b2o12b
obo3b2o6bo5bobo3b2o11b2obo3b2o6b3o2b2obo3b2o12bobo3b2o$11bobo9bobobo
10bobo2bobobo14bo2bobo5bo8bo2bobo14bo2bobo14bo2bobo9bobo2bo2bobo$b2o8b
o11b2o14b2o2b2o17bobo17bobo17bobo17bobo12b2o3bobo$obo36bo23bo19bo19bo
13b2o4bo19bo$2bo109bobo2bobo$40b3o70b2o2bo$40bo72bo$41bo!

The same applies to 15,320 from 13G:
x = 130, y = 62, rule = B3/S23
$31bo$30bo$30b3o73bo$102bo2b2o$19bobo78bobo2bobo$20b2o54bo19bo4b2o13bo
$20bo54bobo17bobo17bobo3b2o$74bo2bo16bo2bo16bo2bo2bobo$73bo3bob2o12bo
3bob2o2b3o7bo3bobo$40b3o30b2o3bobo12b2o3bobo2bo9b2o3bo$23bo11b2o5bo61b
o$23b2o9bobo4bo$22bobo11bo$42b2o$41b2o$29bo13bo$30bo$28b3o2$31b3o$33bo
$32bo27$55b2o$55bobo$55bo6$b3o$3bo$2bo!

And 15.345 from 14G:
x = 166, y = 20, rule = B3/S23
98bobo$98b2o$99bo$obo88bo57bo$b2o86bobo53bo2b2o$bo88b2o10bo40bobo2bobo
$102bobo2bo36b2o$102b2o2b2o56b2o$25b2o18b2o8bo9b2o18b2o19bobo6b2o18b2o
18b2o6bobo$26bo19bo8bobo8bo19bo29bo5b2o12bo5b2o2b3o7bo5bo$7bo18bob2o
16bob2o5b2o9bob2ob2o13bob2ob2o23bob2obobo12bob2obobo2bo9bob2obo$6bo20b
obo17bobo2b2o13bobob2o14bobob2o5b2o17bob2o16bob2o6bo9bob2o$6b3o43bobo
42b2o$52bo46bo$8bo$7b2o$7bobo$b2o$2b2o$bo!

More 15.503 from 14G on base 14.558 by Goldtiger997:
x = 106, y = 45, rule = B3/S23
2$26bobo$26b2o27b2o18b2o18b2o$27bo28bo2bo16bo2bo16bo2bo$40b2o2b3o9bobo
bo15bobobo15bobobo$24b2o15b2obo10b2o2bo15b2o2bo15b2o2b2o$25b2o13bo4bo
10bo19bo5b2o12bo$24bo30bo19bo5bobo3bo7bo$16bobo36b2o18b2o6bo2b2o7b2o$
17b2o67bobo$17bo3$28b2o$27bobo2b3o$14bo14bo2bo$14b2o17bo$13bobo2b3o2b
2o$20bo2bobo$19bo3bo10$18b2o$19b2o$18bo8$4b2o$3bobo$5bo!

According to my data passed over a quarter (the easiest) way. Left 76 still lifes cost > 1glider/bit and 39 cost = 1glider/bit. The biggest cost 15.441 = 31/15glider/bit.

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Re: Soup search results

Postby mniemiec » October 22nd, 2016, 9:53 pm

GoldTiger997 wrote:Here's another 15-bit still-life ...

BobShemyakin wrote:If you remove 4 glider get 13.214 (11G-> 10G): ...

One cleanup glider can be shaved off both syntheses: 13.234 (not 13.214) and 15.320:
x = 135, y = 45, rule = B3/S23
51bo65boo$51bobo59bo3bobo$51boo61boobo$43bo44bo19bo4boo13bo$44boo41bob
o17bobo17bobo3boo$43boo41bobbo16bobbo6bo9bobbobbobo$30boo28boo23bo3bob
oo12bo3boboobboo8bo3bobo$12b3o15boo14boo12boo23boo3bobo12boo3bobobbobo
7boo3bo$7boo5bo32boo$6bobo4bo32bo$8bo$14boo$13boo$bo13bo$bbo$3o22bo7bo
21bo7bo$24bobo6bo20bobo6bo$3b3o18bobo6bo20bobo6bo$5bo19bo29bo$4bo23$
74bo$73boo$73bobo!

BobShemyakin wrote:More 15.503 from 14G on base 14.558 by Goldtiger997: ...

I had added this improvement to my database on 2016-10-04, in the process of adding 14.558; also, 15.502 (with boat flipped the other way)
GoldTiger997 wrote:@ mniemiec & BobShemyakin: How many are left?

BobShemyakin wrote:According to my data passed over a quarter (the easiest) way.
Left 76 still lifes cost > 1glider/bit and 39 cost = 1glider/bit.

I haven't yet included Bob Shemyakin's completed list of 15-bit still-lifes (except for a few that improve older ones), but from the others, I have 12 =15 gliders and 72 >15 gliders:
Equals: 15.369 15.386 15.405 15.406 15.440 15.447 15.485 15.487 15.598 15.653 15.873 15.1060
Greater: 15.297 15.359 15.370 15.371 15.373 15.376 15.377 15.379 15.381 15.382
15.383 15.385 15.388 15.389 15.390 15.391 15.395 15.402 15.403 15.407
15.410 15.413 15.417 15.418 15.435 15.438 15.441 15.445 15.446 15.451
15.455 15.458 15.470 15.473 15.475 15.476 15.477 15.478 15.480 15.483
15.486 15.489 15.494 15.497 15.501 15.506 15.512 15.544 15.619 15.624
15.731 15.759 15.834 15.835 15.839 15.840 15.845 15.860 15.866 15.868
15.869 15.887 15.918 15.919 15.928 15.929 15.952 15.986 15.1001 15.1013
15.1032 15.1064
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Re: Soup search results

Postby Apple Bottom » October 23rd, 2016, 5:48 am

We interrupt your regular scheduled glider syntheses for an unrelated question... does anybody recognize this xp6, which just showed up for the second time in D8_1? (EricABQ saw the first occurrence on Catagolue back in April 2015.)

Sample soups:

Eric's:

x = 31, y = 31, rule = B3/S23
obbobboobobbooobooobboboobbobbo$
bbbobooooooooobbbooooooooobobbb$
bbobooobbbobobooobobobbbooobobb$
oobobbbbobbooboboboobbobbbboboo$
bbobooobbbbooobbbooobbbbooobobb$
booboooobbooooooooooobbooooboob$
oooboobbbbbbooboboobbbbbboobooo$
oobbbobobboobobbboboobbobobbboo$
bobobbbbobobobooobobobobbbbobob$
oobbbbbbbbbboobbboobbbbbbbbbboo$
boobboboobbbbooboobbbboobobboob$
bobooobobbbbbbbobbbbbbbobooobob$
oooooooboobbooooooobboobooooooo$
oobbooooboobooobooobooboooobboo$
oboobobbobobooboboobobobboboobo$
bbobboobobbooboooboobboboobbobb$
oboobobbobobooboboobobobboboobo$
oobbooooboobooobooobooboooobboo$
oooooooboobbooooooobboobooooooo$
bobooobobbbbbbbobbbbbbbobooobob$
boobboboobbbbooboobbbboobobboob$
oobbbbbbbbbboobbboobbbbbbbbbboo$
bobobbbbobobobooobobobobbbbobob$
oobbbobobboobobbboboobbobobbboo$
oooboobbbbbbooboboobbbbbboobooo$
booboooobbooooooooooobbooooboob$
bbobooobbbbooobbbooobbbbooobobb$
oobobbbbobbooboboboobbobbbboboo$
bbobooobbbobobooobobobbbooobobb$
bbbobooooooooobbbooooooooobobbb$
obbobboobobbooobooobboboobbobbo!


Mine:

x = 31, y = 31, rule = B3/S23
obbobbboobbbobobobobbboobbbobbo$
bbobbbbbbobobbobobbobobbbbbbobb$
boobbobobbooobbobbooobbobobboob$
obboboobobbboobbboobbboboobobbo$
bbbbbbbbbobbbbobobbbbobbbbbbbbb$
bboobbbbbbobooooooobobbbbbboobb$
bbbobbbbobbooobbbooobbobbbbobbb$
obobbbbobobbbooooobbbobobbbbobo$
obbobbobboboobbbbboobobbobbobbo$
bobbobboobbbbobbbobbbboobbobbob$
bbobbobbbbobbbobobbbobbbbobbobb$
boobbbobobbbbbobobbbbbobobbboob$
obooboobobbbbbbbbbbbbbobooboobo$
bbbobooobobbbbooobbbbobooobobbb$
oobboobobbooboboboboobboboobboo$
bbobbobobbbbbooooobbbbbobobbobb$
oobboobobbooboboboboobboboobboo$
bbbobooobobbbbooobbbbobooobobbb$
obooboobobbbbbbbbbbbbbobooboobo$
boobbbobobbbbbobobbbbbobobbboob$
bbobbobbbbobbbobobbbobbbbobbobb$
bobbobboobbbbobbbobbbboobbobbob$
obbobbobboboobbbbboobobbobbobbo$
obobbbbobobbbooooobbbobobbbbobo$
bbbobbbbobbooobbbooobbobbbbobbb$
bboobbbbbbobooooooobobbbbbboobb$
bbbbbbbbbobbbbobobbbbobbbbbbbbb$
obboboobobbboobbboobbboboobobbo$
boobbobobbooobbobbooobbobobboob$
bbobbbbbbobobbobobbobobbbbbbobb$
obbobbboobbbobobobobbboobbbobbo!
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Re: Soup search results

Postby Goldtiger997 » October 23rd, 2016, 5:51 am

On BobShemyakin's database, 15.236 was listed as having as having a 15 glider synthesis, so I made a 7 glider one.

x = 37, y = 46, rule = B3/S23
5bo$3bobo$4b2o16$34b3o$28bo5bo$27b2o6bo$12bobo12bobo$13b2o$13bo2$14b3o
$16bo$15bo3$6b2o$7b2o$6bo11$3o$2bo$bo!


However,
mniemiec wrote:I haven't yet included Bob Shemyakin's completed list of 15-bit still-lifes (except for a few that improve older ones), but from the others, I have 12 =15 gliders and 72 >15 gliders:
Equals: 15.369 15.386 15.405 15.406 15.440 15.447 15.485 15.487 15.598 15.653 15.873 15.1060
Greater: 15.297 15.359 15.370 15.371 15.373 15.376 15.377 15.379 15.381 15.382
15.383 15.385 15.388 15.389 15.390 15.391 15.395 15.402 15.403 15.407
15.410 15.413 15.417 15.418 15.435 15.438 15.441 15.445 15.446 15.451
15.455 15.458 15.470 15.473 15.475 15.476 15.477 15.478 15.480 15.483
15.486 15.489 15.494 15.497 15.501 15.506 15.512 15.544 15.619 15.624
15.731 15.759 15.834 15.835 15.839 15.840 15.845 15.860 15.866 15.868
15.869 15.887 15.918 15.919 15.928 15.929 15.952 15.986 15.1001 15.1013
15.1032 15.1064


15.236 isn't listed there. Does that mean my synthesis was unnecessary, is it just a bookkeeping error between the two databases?

EDIT:

I noticed as well that 15.297 is listed above, but BobShemyakin's database has this synthesis:

x = 146, y = 21, rule = B3/S23
129bo$bo47bo68bo8b2o$2bo40bo5bobo25bo41b2o7b2o$3o41b2o3b2o27bo39b2o$
43b2o31b3o48bo$35bo24b2o18b2o44b2o$2o34bo2b2o18bo2bo16bo2bo18b2o18b2o
3bobo15b2o$b2o8bo22b3obobo19b2obo16b2obo17bobo17bobo19bobo$o8b2o29bo
22bo19bo19bo19bo18bo$10b2o11b2o18b2o18b2o18b2o18b2o12b2o4b2o18b2o$24bo
10b2o7bo19bo19bo19bo13b2o4bo19bo$23bo12b2o5bo19bo19bo19bo13bo5bo19bo$
22bo12bo6bo19bo19bo19bo19bo19bo$21bo19bo19bo19bo19bo19bo19bo$21bobo17b
obo17bobo17bobo17bobo17bobo17bobo$22b2o18b2o18b2o18b2o18b2o18b2o18b2o
3$7b2o$6b2o$8bo!


EDIT2:

Here's 15.359 in 11 gliders:

x = 33, y = 33, rule = B3/S23
obo$b2o$bo3$14bobo$14b2o$15bo$9bobo$10b2o$10bo11bo$17bo3bo$18b2ob3o$8b
o8b2o$b3o3bo$3bo3b3o$2bo$5b2o$4bobo8b3o$6bo8bo$11bo4bo$11b2o$10bobo8$
30b3o$30bo$31bo!
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Re: Soup search results

Postby mniemiec » October 23rd, 2016, 9:47 am

Goldtiger997 wrote:In BobShemyakin's database, 15.236 was listed as having as having a 15 glider synthesis, so I made a 7 glider one. ...

The shuttle can be made from 3 gliders, reducing this to 6:
x = 30, y = 25, rule = B3/S23
o$boo$oo$$12bo$12bobo$bbobo7boo$bboo$3bo21boo$25bobo$4b3o19bobo$4bo23b
o$5bo21bo$26bo$6bo19bobo$6boo19bobo$5bobo20boo6$7b3o$9bo$8bo!

Goldtiger997 wrote:15.236 isn't listed there. Does that mean my synthesis was unnecessary, is it just a bookkeeping error between the two databases?

As I had mentioned earlier, I am attempting to create a complete database, and finally finished all the bookkeeping for the 14-bit still-lifes a few years ago, but only had about half the 15-bit ones synthesized. Bob Shemyakin synthesized all the rest, plus he found many other, cheaper syntheses of some of the smaller ones. I am in the process of assimilating all his data, but there are over 2000 syntheses I need to examine in order to do so, so it will take a while before my list is up to date. Thus, my own list is missing about half of the 15-bit ones, including many of the expensive ones. (I also have the 700 or so difficult 18-bit still-lifes to assimilate, and those are in a more difficult format).
Goldtiger997 wrote:I noticed as well that 15.297 is listed above, but BobShemyakin's database has this synthesis: ...

This is because the first step, 10.21, had improved, but I had not yet updated all the derived syntheses.
Goldtiger997 wrote:Here's 15.359 in 11 gliders: ...

Very nice!
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Re: Soup search results

Postby chris_c » October 23rd, 2016, 2:06 pm

Goldtiger997 wrote:Here's 15.359 in 11 gliders:

x = 33, y = 33, rule = B3/S23
obo$b2o$bo3$14bobo$14b2o$15bo$9bobo$10b2o$10bo11bo$17bo3bo$18b2ob3o$8b
o8b2o$b3o3bo$3bo3b3o$2bo$5b2o$4bobo8b3o$6bo8bo$11bo4bo$11b2o$10bobo8$
30b3o$30bo$31bo!


There is an impossible glider crossing in that pattern but it can be fixed by making the pond sufficiently early.
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Re: Soup search results

Postby AbhpzTa » October 23rd, 2016, 2:31 pm

chris_c wrote:
Goldtiger997 wrote:Here's 15.359 in 11 gliders:

x = 33, y = 33, rule = B3/S23
obo$b2o$bo3$14bobo$14b2o$15bo$9bobo$10b2o$10bo11bo$17bo3bo$18b2ob3o$8b
o8b2o$b3o3bo$3bo3b3o$2bo$5b2o$4bobo8b3o$6bo8bo$11bo4bo$11b2o$10bobo8$
30b3o$30bo$31bo!


There is an impossible glider crossing in that pattern but it can be fixed by making the pond sufficiently early.


10 gliders:
x = 102, y = 41, rule = B3/S23
46bobo$47b2o$47bo9$bo$2bo97b2o$3o94b2o2bo$31b2o28b2o33bo2b2o$31b2o4b2o
13bo8b2o4b2o28bobo$7b2o27bo2bo13b2o11bo2bo26b2o2bo$2b3ob2o28bo2bo12b2o
12bo2bo29b2o$4bo3bo28b2o20b2o6b2o$3bo51bo3bobo$56b2obo$55b2o5$69b3o$
69bo$57bo12bo$57b2o$56bobo8$84b3o$84bo$85bo!
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: Soup search results

Postby BlinkerSpawn » October 23rd, 2016, 7:59 pm

Known reaction?
x = 10, y = 11, rule = B3/S23
b2o$o3bo$o2bo$b3o4$7b2o$6bo2bo$6bobo$7bo!
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Re: Soup search results

Postby Goldtiger997 » October 24th, 2016, 9:15 am

mniemiec wrote:As I had mentioned earlier, I am attempting to create a complete database, and finally finished all the bookkeeping for the 14-bit still-lifes a few years ago, but only had about half the 15-bit ones synthesized. Bob Shemyakin synthesized all the rest, plus he found many other, cheaper syntheses of some of the smaller ones. I am in the process of assimilating all his data, but there are over 2000 syntheses I need to examine in order to do so, so it will take a while before my list is up to date. Thus, my own list is missing about half of the 15-bit ones, including many of the expensive ones. (I also have the 700 or so difficult 18-bit still-lifes to assimilate, and those are in a more difficult format).


Ah, I see.

Well according to BobShemyakin's database, 15.297 takes 15 gliders like this:

x = 79, y = 20, rule = B3/S23
17bobo40bo$17b2o41bobo$6bo11bo41b2o$7bo$5b3o51bo$57bobo3bo$58b2o2bo$
62b3o2$58bobo3bo$11bo17b2o18b2o7b2o3b2o4b2o$9bobo18bo19bo8bo3bobo4bo6b
o$10b2o8bo9bob2o16bob2o16bob2o2bobo$20bobo8b2obobo14b2obobo14b2obo2bo$
20b2o13b2o18b2o18b2o$17b2o$5b2o4b2o3b2o44b2o$3o3b2o2bobo5bo39bo2b2o$2b
o2bo6bo45b2o3bo$bo55bobo!


A different order yields a better synthesis from 11 gliders:

x = 50, y = 50, rule = B3/S23
47bobo$47b2o$6bo41bo$7bo$5b3o14$30bobo$30b2o$31bo3$33bo$31bobo$32b2o2$
33b3o$33bo$34bo9$16b2o$17b2o2b2o$16bo3bobo$22bo24b2o$36b3o8bobo$36bo
10bo$37bo2$5b3o$3o4bo$2bo3bo$bo!


I believe that now all 15-bit still-lifes from 15.1 to 15.300 have syntheses in less than 15 gliders.
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Re: Soup search results

Postby BobShemyakin » October 24th, 2016, 3:57 pm

Goldtiger997 wrote:...
I believe that now all 15-bit still-lifes from 15.1 to 15.300 have syntheses in less than 15 gliders.

With the exception of 15.182 (22G):
x = 161, y = 29, rule = B3/S23
4bo134bo$5b2o47bo83bo$4b2o49b2o41bo39b3o$54b2o43bo35bo$97b3o36b2o$60bo
40bo33b2o$58b2o41bobo$55bo3b2o40b2o30bo4bobo$56b2o73bobo4b2o$55b2o75b
2o5bo$66bo24bo$60bo5bobo20b2o24b2o18b2o4b3o12b2o$61b2o3b2o7b2o13b2o3b
2o18bo19bo5bo14bo$35bo19bo4b2o12bo2bo16bo2bo19bo19bo4bo14bo$35b3o17b3o
17b3o17b3o18b2o18b2o18b2o$20bo3bo13bo19bo19b2o18b2o7b2o9b2o18b2o18b2o$
18bobob2o13bobo17bobo17bo2bo16bo2bo6bobo6b2o2bo15b2o2bo15b2o2bo$19b2o
2b2o11bobo17bobo17bo2bo16bo2bo7bo8bo2bo16bo2bo16bo2bo$37bo19bo19b2o18b
2o18b2o18b2o18b2o$64b2o21bo$64bobo20b2o$bo22b3o32b3o2bo21bobo$b2o21bo
36bo$obo22bo34bo3$86b2o$87b2o$86bo!
and 15.252 (16G):
x = 118, y = 21, rule = B3/S23
53bo37bo$7bo43bobo36bo$8bo10bo32b2o6bo29b3o$6b3o10bobo37bo$19b2o38b3o
26b3o$90bo$89bo$10bobo22bo19bo$11b2o21bobo17bobo17bo19bo14b2o3bo$11bo
21bobo17bobo3bo13bobo10b2o5bobo13bo3bobo$33bo19bo5bobo11bo2bo8bobo5bo
2bo13bo2bo2bo$31bobo17bobo5b2o10bobo3bo9bo3bobo3bo13bobo3bo$11b3o3bobo
10bobo17bobo17bobo3b2o12bobo3b2o14bo3b2o$13bo3b2o12bo19bo19bo19bo$12bo
5bo38bo$56bo$56b3o26b3o$bo85bo$b2o51b3o29bo6b2o$obo53bo36bobo$55bo37bo
!


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Re: Soup search results

Postby mniemiec » October 24th, 2016, 4:02 pm

Goldtiger997 wrote:Well according to BobShemyakin's database, 15.297 takes 15 gliders like this: ...
A different order yields a better synthesis from 11 gliders: ...

This is actually 15.287. In my collection, I try, for multi-part objects, I try, whenever possible, to provide the smallest synthesis, as well as all syntheses beginning with any of the parts. This facilitates future, larger incremental syntheses in which those parts may be already attached to something else. Such techniques would yield both your synthesis and his, with yours being the cheaper path (and, at least at present, there is no "natural" atomic synthesis that is better.)

I believe that now all 15-bit still-lifes from 15.1 to 15.300 have syntheses in less than 15 gliders.[/quote]
By examining Bob Shemyakin's most recent still15.rar archive, I found the following additional still-lifes that aren't on my lists:
Equals: 15.365 15.402 15.410 15.431 15.446 15.487 15.506 15.516 15.751 15.786
15.839 15.855 15.890 15.919 15.931 15.934 15.939 15.942 15.949 15.1024
15.1033 15.1034 15.1036 15.1088 15.1103 15.1207
Greater: 15.182 15.252 15.304 15.416 15.457 15.507 15.508 15.562 15.578 15.620
15.698 15.723 15.791 15.797 15.840 15.848 15.849 15.889 15.923 15.947
15.960 15.983 15.1012 15.1035 15.1065
(15.182 and 15.252 remain unoptimized, from 22 and 16 gliders respectively (EDIT: as Bob just pointed out), and 15.304 from 16 for the next batch.)
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Re: Soup search results

Postby A for awesome » October 24th, 2016, 5:03 pm

A weird pulsar variant in D4_+1:
x = 31, y = 31, rule = B3/S23
ooobbbobbbbobooboobobbbbobbbooo$
booobbbooooooobobooooooobbbooob$
boooobboooobbooboobboooobboooob$
obbbbooobobooooboooobobooobbbbo$
obboobobbbobooboboobobbboboobbo$
ooobbobbooobobobobobooobbobbooo$
obobbobobbbooboooboobbbobobbobo$
obobobooboooboobooboooboobobobo$
oooooobbboobbooooobboobbboooooo$
bobooboooooobooboobooooooboobob$
ooboboooobbobooooobobbooooboboo$
booobboboooobobbboboooobobbooob$
bbooobbobobbbbobobbbbobobbooobb$
boobooboobooobbobboooboobooboob$
bbbboboobbobobbobbobobboobobbbb$
boobbooooobobobobobobooooobboob$
bbbboboobbobobbobbobobboobobbbb$
boobooboobooobbobboooboobooboob$
bbooobbobobbbbobobbbbobobbooobb$
booobboboooobobbboboooobobbooob$
ooboboooobbobooooobobbooooboboo$
bobooboooooobooboobooooooboobob$
oooooobbboobbooooobboobbboooooo$
obobobooboooboobooboooboobobobo$
obobbobobbbooboooboobbbobobbobo$
ooobbobbooobobobobobooobbobbooo$
obboobobbbobooboboobobbboboobbo$
obbbbooobobooooboooobobooobbbbo$
boooobboooobbooboobboooobboooob$
booobbbooooooobobooooooobbbooob$
ooobbbobbbbobooboobobbbbobbbooo!

I think a synthesis is possible based on this for the [cis x2]-two-quadrant and double-mirrored four-quadrant versions.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

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Re: Soup search results

Postby BlinkerSpawn » October 24th, 2016, 5:13 pm

From here, for 15.297:
x = 8, y = 13, rule = B3/S23
3b2o$3bobo$5b2o$4b2o3$4b3o$4bo2bo$5b3o2$b2o$o2bo$b2o!

For 15.889:
x = 12, y = 18, rule = B3/S23
10bo$8b2o$9b2o6$bo$obo$2obo5bobo$3b2o4b2o$3bo6bo$2bo2$6b2o$5bobo$7bo!

EDIT: 15.182 in 7G:
x = 38, y = 22, rule = B3/S23
37bo$35b2o$36b2o$10bobo$11b2o$11bo2$obo$b2o$bo2$15bo$13b2o$14b2o$17b3o
$17bo$6bo11bo$6b2o$5bobo$16bo$15b2o$15bobo!

15.624:
x = 27, y = 25, rule = B3/S23
25bo$24bo$11b2o11b3o$10b2o$11bo5$14b3o2$15bo$13bobo$13b2o$7b2o$6bob2o$
6bo3bo$7b3o$8bo4$2o$b2o$o!

Everything but the R in 9G:
x = 33, y = 31, rule = B3/S23
31bo$30bo$30b3o7$14bo$15bo12bo$13b3o10b2o$27b2o4$7bobo$8b2o$8bo6bo$15b
2o$14bobo$25bo4bo$9b2o13b2o3b2o$8bobo13bobo2bobo$10bo4$2o$b2o$o!
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Re: Soup search results

Postby Goldtiger997 » October 25th, 2016, 7:24 am

mniemiec wrote:(15.182 and 15.252 remain unoptimized, from 22 and 16 gliders respectively (EDIT: as Bob just pointed out), and 15.304 from 16 for the next batch.)


Oh sorry, I must have missed those.

BlinkerSpawn wrote:15.182 in 7G:
x = 38, y = 22, rule = B3/S23
37bo$35b2o$36b2o$10bobo$11b2o$11bo2$obo$b2o$bo2$15bo$13b2o$14b2o$17b3o
$17bo$6bo11bo$6b2o$5bobo$16bo$15b2o$15bobo!



Nice! Here is 15.252 and 15.304 both in 12 gliders.

x = 111, y = 121, rule = B3/S23
106bo$105bo$105b3o40$73bo$73bobo$44bo28b2o$45b2o$44b2o11$56bo$54bobo$
55b2o2$57bo$57bobo$57b2o14$55b3o2b2o$57bo2bobo$56bo3bo16$13b2o$14b2o$
13bo7$3b3o$5bo$4bo3$b2o$obo$2bo5$3o$2bo$bo106b2o$108bobo$108bo!


x = 51, y = 32, rule = B3/S23
37bobo$37b2o$38bo$15bo$13bobo$14b2o3$19bo$20bo$18b3o$35bo$33bobo2bobo$
34b2o2b2o$39bo2$13b3o$15bo8bo6b3o$14bo9b2o5bo$23bobo6bo3$17b2o4b2o24b
2o$16bobo3bobo23b2o$18bo5bo25bo5$3o$2bo$bo!


Now all 15-bit still-lifes from 15.1 to 15.300 have syntheses in less than 15 gliders!
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Re: Soup search results

Postby mniemiec » October 25th, 2016, 9:23 am

BlinkerSpawn wrote:15.182 in 7G: ...

Row 1: The above gives 15.624 from 13.
Row 2: 15.465 from 11, giving 15.889 from 17.
x = 129, y = 89, rule = B3/S23
61bo$61bobo$61boo$$39boo18boo$39boo18boo5$104bo$98bo5bobo$99boo3boo$
98boo$$7bo$5bobo119boo$o5boo24booboboo13booboboo13booboboo13booboboo6b
obo14boobobbo$boo28boboboobo12boboboobo12boboboobo12boboboobo6boo14bob
oboo$oo6bobo20bobbo16bobbo16bobbo16bobbo11bo14bobbo$8boo22bobo17bobo
17bobo17bobo27bobo$9bo23bo19bo19bo19bo8bo20bo$17boo82boo6bo$16boo83bob
o4boo$18bo89bobo$98b3o$100bo$3boo94bo$4boo$3bo3$13boo$12boo$14bo16$25b
o$25bobo$25boo$$bbo109bo$obo17bobo89bobo$boo17boo90boo$21bo88bo$104bo
3bobo$105bo3boo$69bobo31b3o$69boo40bo$12bo57bo38boo4bo$11bo98boo3bobo$
11b3o57boo42boo$9bo60boo54boo$7bobo36bo19bo5bo13boo18boo19bo$8boo32boo
bobo14boobobo14boobobo14boobobo14boobo$18bo22boboboo14boboboo14boboboo
14boboboo5boo7boboboo$16boo23bobbo16bobbo16bobbo16bobbo7bobo6bobbo$17b
oo23bobo17bobo17bobo17bobo7bo9bobo$43bo19bo19bo19bo19bo10$16bo$15boo$
15bobo3$10bo16boo$10boo14boo$9bobo16bo!
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Re: Soup search results

Postby AbhpzTa » October 25th, 2016, 11:03 am

mniemiec wrote:
BlinkerSpawn wrote:15.182 in 7G: ...

Row 1: The above gives 15.624 from 13.
Row 2: 15.465 from 11, giving 15.889 from 17.
x = 129, y = 89, rule = B3/S23
61bo$61bobo$61boo$$39boo18boo$39boo18boo5$104bo$98bo5bobo$99boo3boo$
98boo$$7bo$5bobo119boo$o5boo24booboboo13booboboo13booboboo13booboboo6b
obo14boobobbo$boo28boboboobo12boboboobo12boboboobo12boboboobo6boo14bob
oboo$oo6bobo20bobbo16bobbo16bobbo16bobbo11bo14bobbo$8boo22bobo17bobo
17bobo17bobo27bobo$9bo23bo19bo19bo19bo8bo20bo$17boo82boo6bo$16boo83bob
o4boo$18bo89bobo$98b3o$100bo$3boo94bo$4boo$3bo3$13boo$12boo$14bo16$25b
o$25bobo$25boo$$bbo109bo$obo17bobo89bobo$boo17boo90boo$21bo88bo$104bo
3bobo$105bo3boo$69bobo31b3o$69boo40bo$12bo57bo38boo4bo$11bo98boo3bobo$
11b3o57boo42boo$9bo60boo54boo$7bobo36bo19bo5bo13boo18boo19bo$8boo32boo
bobo14boobobo14boobobo14boobobo14boobo$18bo22boboboo14boboboo14boboboo
14boboboo5boo7boboboo$16boo23bobbo16bobbo16bobbo16bobbo7bobo6bobbo$17b
oo23bobo17bobo17bobo17bobo7bo9bobo$43bo19bo19bo19bo19bo10$16bo$15boo$
15bobo3$10bo16boo$10boo14boo$9bobo16bo!

15.889 in 7G:
x = 26, y = 29, rule = B3/S23
23bobo$23b2o$24bo3$o$b2o$2o5$14bo$13b2o$13bobo6$4bo15b3o$4bobo13bo$4b
2o2b3o10bo$8bo$9bo2$2b2o$b2o$3bo!
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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