Soup search results

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

Re: Soup search results

This is as close as I know how to get:
x = 11, y = 12, rule = B3/S23
7b2o$o7b2o$2o7bo$2bo3bo$2o3b3o$o3bo$4bob2obo$5bobo2$8b3o2$8b3o! EDIT: Eureka! (kinda): x = 16, y = 15, rule = B3/S23 10bo$8b2o$9b2o$3o$2bo$3o3b3o$5bo2bo$5bob2o$6bo5bo$7bo2b2o$11b2o2$13b3o
$13bo$14bo!

EDIT 2: Assembled; 10 gliders:
x = 28, y = 24, rule = B3/S23
18boo$135bo$3bobo38bo89bo22boo$3boo39bobo16boo18boo18boo18boo9b3o16boo bobboboo$4bo39boo17boobboo14boobboo14boobboo14boobboo24bo4bobboo$47b3o 17boo18boo18boo18boo28bo$o46bo108bo$boo19bo19bo5bo13bo19bo19bo19bo10b oo17bo$oo20bobo17bobo17bobo17bobo17bobo17bobo7boo18bobo$4boo15bobo17bo bo17bobo17bobo17bobo17bobo10bo16bobo$3boo18bo19bo19bo19bo19bo19bo29bo$5bo$$bobooobo6164bo162bobo5bo163boo4bo169b3o377bo99bobbo78bo3b o18boo13bo4boo18boo18boo17bo76b3oboo18bobbo10bobo3bobbo12boobbobbo12b oobbobbo12bo4bo81boo17bobbo11boo3bobbo12boobbobbo12boobbobbo12boobbob o101boo9boo7boo18boo18boo18boboo111boboo6bobo31bo71boboo4boo17bo 12bobo4bo14boo3bo14boo3bo14boo3bo14boo3bo14boo3bo14boo3bo14bo4booo6bo 18boo11boo5boo12boo4boo12boo4boo12boo4boo12boo4boo12boo4boo12boo4boo 12boo4boo5bo6boo11boo10boo6boo18boo18boo18boo18boo18boo18boo18boo5b oo4boo14bo8bobo8bo19bo19bo19bo19bo19bo19bo19bo4bobo6bo24bo1543bo41b oo42boo$$29bobo$30boo$30bo$$144bo142bobo5bo56bo19bo19bo39bo6boo4bo 16bo54bobo17bobo3bo13bobo37bobo12b3o12bobo55bobo17bobobbobo12bobo37b obo27bobo55bo19bo4boo13bo39bo29bo170bo81bo19boo38boo27bo30b3o48boo 17bobbo32boobbobbo22bo4bo32bo5bo41bobo17bobbo11bobobo16boobbobbo22boo bbobo31bo4bobo62boo38boo28boboo37boobbooo6bobo32booboo4boo17bo14bo 4bo19bo19bo19bo34boo3bo24bo4booo6bo18boo18boo18boo18boo18boo32boo4boo 22boo4boo5bo6boo11boo18boo18boo18boo18boo38boo28boo5boo4boo14bo19bo 19bo19bo19bo39bo29bo4bobo6bo! EDIT: BlinkerSpawn wrote:This is as close as I know how to get: ... Eureka! (kinda): ... This yields a 10-glider synthesis. Unfortunately, replacing the house by an attached beehive or loaf isn't as simple as I had previously thought. (A beehive could be turned into the others). x = 109, y = 24, rule = B3/S23 21bobo21boo22bo4bo6bo5boo5boo4boo5boo39boo20bo19bo18boo39bobo 18bobo17bobo16bobbo23bobo15bo18bobo16bobbo17bobo23boo14boboboo16bob oo15booboo16boboooo22bo14boobbobb3o14bobb3o14bobb3o14bobb3oboo40bo 19bo19bo19boo43boobo16boobo16boobo16boobo10boo36bo19bo19bo19bo9bobo 35boo18boo18boo18boo11bo317boo8boo7bobo7bobo7bo8boo9bo3boo11bobo 12boo12bo14bo! (EDIT: Apparently, you solved it exactly the same way!) Last edited by mniemiec on January 10th, 2017, 7:57 pm, edited 1 time in total. mniemiec Posts: 898 Joined: June 1st, 2013, 12:00 am Re: Soup search results This was my far more expensive approach: x = 23, y = 16, rule = B3/S23 8bo5bobo6bobo6b2o7b2o6bo5bo20bo20b3o11b2ob2o11bo3boo11b3o7bob 2o17b2o2o19b2o4b2o6b3o5b2o4bo3bo4bo6bob2obo12bobo2bo15bobo16bo! I also found a way to get there from one of the other variants: x = 21, y = 18, rule = B3/S23 9bobo9b2o10bo8bo2o16boo3b2o12b3obobobo6bo5bob2o3bobo2bo3ob2obob o2b2o2b2o7bobo6bobo7b2o46b2o7b2o6bo5bo11b2o11bobo! I Like My Heisenburps! (and others) Extrementhusiast Posts: 1682 Joined: June 16th, 2009, 11:24 pm Location: USA Re: Soup search results Can anyone use any of these reductions of symmetric soups for a better synthesis of french kiss?: x = 26, y = 21, rule = B3/S23 obob2obo47bo9bo7b2o6bobo5b3o8b2o6bo18bo7b2o8b3o7bobo6b2o7bo 9bo423bo22b2o22bobo! x = 34, y = 30, rule = B3/S23 23b3o87bo6bobo5bo2bo9b2o6b2o3b2o4bobo11bobo2b2o13b2o2bobo11bob o4b2o3b2o11b2o9bo2bo22bobo23bo825b3o! x = 34, y = 24, rule = B3/S23 33bo2bobo2bobo3bo326bo5b2o20bo4bo2bo4bo2bo17b2o4b2o17bo2bo 23bo2bo3bo20b2o4bo327bo26bobo26bobo27bo! x = 61, y = 34, rule = B3/S23 231b2o32bo7b2o19b2ob2o6b3o20bobo5b5o20bo4b2o3b2o5b2obo3bobo6b 2o7bob2o2bob3o11b3obo2b2o21bo19b2obo16bo4b2o24b2o16b2o24b2o4bo 42bob2o43bo45b2o2bob3o47b3obo2b2obo57b2o50bobo3bob2o54b2o3b2o 34bo20b5o33bobo20b3o32b2ob2o19b2o32bo32b2o! x = 29, y = 19, rule = B3/S23 419b2o11b2o5bo2bo10bo2bo4bo2b2o3b2o5bo2bo3bo2b2o2bo2bo5b2o4b4o3b 2o24b2o8b4o4b2o5bo2bo7b2o2bo3bo2bo5b2o6b2o2bo4bo2bo7bo2bo5b2o8b 2o! Goldtiger997 Posts: 372 Joined: June 21st, 2016, 8:00 am Location: 11.329903°N 142.199305°E Re: Soup search results Sure, 18G: x = 110, y = 90, rule = B3/S23 40bo38b2o39b2o2512boobo7b2ob2o8b2obo311bo9b2o10b2o23bo9bo4b 2o6bo3b2o7b3o72bo20b2o73bo19bo14bo15bo40b3o16b2obo15bo13bo45b2o 12bo2bo13b3o13b3o42bo2bo11bo14b2o9b3o13b3o47b2o14bo11bo2bo11bo13bo 62bo2bo12b2o10bo15bo60bob2o16b3o87bo19bo86b2o20bo26b3o7b2o28bo6b 2o27bo9bo229b2o30b2o29bo339bo28b2o8b2o29b2o7bobo28bo252ob2o o! LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1677 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's Re: Soup search results 10G: x = 57, y = 46, rule = B3/S23 55bo54bo4bo49b3o2bobo3b2o237bo16bo36bo15b2o36b3o14b2o237bo36b 2o36bobo2118bobo19b2o19bo22b2o14b3o3b2o15bo2bo16bo252b2o52bob o3o49bo2bobo! 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: 408 Joined: April 13th, 2016, 9:40 am Location: Ishikawa Prefecture, Japan Re: Soup search results Goldtiger997 wrote:Can anyone use any of these reductions of symmetric soups for a better synthesis of french kiss?: ... BlinkerSpawn wrote:Sure, 18G: ... From 16, based on predecessor #3: x = 126, y = 30, rule = B3/S23 39bo37boo38boo77bo78bo76b3o50boo28boo9bobo21bo15bobbo26bobbo3b o5boo20boo17boo28boo4boo4bo21boo3boo52boo28boo28boo11bo46bo29bo29bo 12bo16bobo9boo15boboo26boboo26boboo10b3o17boo8boo17bobbo26bobbo26bo bbo30bo11bo19bo29bo29boo11bo47bo29bo29boboo8boo17b3o27bobbo26bobbo 26bobbooo9bobo16bo30boobo26boobo26boobo31bo32bo29bo29bo38boo24boo 28boo28boo9boo21bo4boo10boo20boo5bo31boo28boo9bo21bobo36bobbo26bobb o71boo28boo104b3o104bo105bo3boo4boo3bo! EDIT: AbhpzTa wrote:10G: ... (oops!) Nice! This also reduces 1 20- and the 2 21-bit variants to < 1 glider/bit. mniemiec Posts: 898 Joined: June 1st, 2013, 12:00 am Re: Soup search results AbhpzTa wrote:10G: x = 57, y = 46, rule = B3/S23 55bo54bo4bo49b3o2bobo3b2o237bo16bo36bo15b2o36b3o14b2o237bo36b 2o36bobo2118bobo19b2o19bo22b2o14b3o3b2o15bo2bo16bo252b2o52bob o3o49bo2bobo! Very nice! I'm reposting something I already posted in the birthdays thread because I did not think it was actually a suitable thread. Here is an 18-20 glider synthesis of trans-skewed poles which I think previously had no synthesis: x = 106, y = 96, rule = B3/S23 14bo12bobo13b2o92boobob2o1567bo65b2o56bo9b2o57b2o56b2o60bo 60bobo46bo13b2o47bo45b3o2bo49bobo49bobo50bo554bo54bo54bo51bo 51bo51bo555bo54bobo54bobo55bo2b3o58bo44b2o13bo43bobo45bo48b 2o47b2o38b2o9bo39b2o38bo15103b2o103bobo103bo991b2o91bobo91bo ! Goldtiger997 Posts: 372 Joined: June 21st, 2016, 8:00 am Location: 11.329903°N 142.199305°E Re: Soup search results Goldtiger997 wrote:Here is an 18-20 glider synthesis of trans-skewed poles which I think previously had no synthesis: ... Extrementhusiast had previously posted this 20-glider synthesis on 2015-08-06. Either yours or his would be cheaper if there were appropriate 3-glider syntheses of the beehive+blinker constellations. x = 235, y = 32, rule = B3/S23 112bobo113boo8bo113bo10bo122b3o126bo47bo78bobo48boo76boo6bo47b oo83boo121bo11boo45bo36bo29bo9bo45boo35bo29bo7b3o4bo39bobo35bo29bo 40boo38boo28boo5bo19bo29bo29bo29bo37bo32bo6bo29bo3b3o18bobo27bobo27b obo27bobo37bobo27bobo7bobo27bobo16bo7bobo27bobo27bobo27bobo32boo5boo 11boo14boobboo5boo11boo15boo3o12bo9bo29bo29bo29bo34bo6bobbo9bo19bo6bo bbo9bo16bobbobbo12b3o14bo29bo29bo29bo24bo9bobbo6bo19bo9bobbo6bo19bobb obo29bobo27bobo27bobo27bobo23boo11boo5boo18boo11boo5boobboo17boo12b 3o16bobo27bobo27bobo27bobo37bobo37bobo7bobo17bobo12bo19bo29bo29bo29bo 41bo39bo6bo22bo13bo57bobo21bo29bo37boo38boo28boo71boo22bo19b3o7bo 72bo22bo19bo9bo103boo11bo69boo33boo68boo33bo6boo70bo38bobo111bo 113b3o113bo10bo114bo8boo123bobo! EDIT: FYI, the only known period 3+ oscillators up to 21 bits lacking syntheses are these 5 P3s and 1 P4: x = 112, y = 10, rule = B3/S23 o19booboo15boo5boo11boo18boo18boo8boo3o4booboo8bo4booboo10bo5bobo11bo 19bo19bobo4boobbo3boboo4bo9boo6bo11boboobboo12bobo17bobo17b3obobbo6b oo13bobobo14bo26bo32bo3b3obboobobo16bo4b3o16bobo11bobo3b3o11bobo22bo 7bo23bo11bobo3boo11bo4bo14bo4boo15bobo44bo19bobobo15bobobo17bo63boo bboo14boobbo88b3o90bo! mniemiec Posts: 898 Joined: June 1st, 2013, 12:00 am Re: Soup search results mniemiec wrote: Goldtiger997 wrote:Here is an 18-20 glider synthesis of trans-skewed poles which I think previously had no synthesis: ... Extrementhusiast had previously posted this 20-glider synthesis on 2015-08-06. Either yours or his would be cheaper if there were appropriate 3-glider syntheses of the beehive+blinker constellations. Extrementhusiast's synthesis ... I wrote:...Here is an 18-20 glider synthesis of trans-skewed poles which I think previously had no synthesis: x = 106, y = 96, rule = B3/S23 14bo12bobo13b2o92boobob2o1567bo65b2o56bo9b2o57b2o56b2o60bo 60bobo46bo13b2o47bo45b3o2bo49bobo49bobo50bo554bo54bo54bo51bo 51bo51bo555bo54bobo54bobo55bo2b3o58bo44b2o13bo43bobo45bo48b 2o47b2o38b2o9bo39b2o38bo15103b2o103bobo103bo991b2o91bobo91bo ! However, the beehives in my synthesis are not necessary because they are made just to create r-pentominos. Possibly one of the other "still-life + glider = r-pentomino" collisions could be used such that the constellation with that still life and the blinker could be made in 3-gliders. P.S. It bothers me that currently the hexapole can be synthesised in 8 gliders whereas the pentapole takes 10 gliders. Goldtiger997 Posts: 372 Joined: June 21st, 2016, 8:00 am Location: 11.329903°N 142.199305°E Re: Soup search results Goldtiger997 wrote:However, the beehives in my synthesis are not necessary because they are made just to create r-pentominos. Possibly one of the other "still-life + glider = r-pentomino" collisions could be used such that the constellation with that still life and the blinker could be made in 3-gliders. I only know of 3 within the budget - one loaf+glider, your beehive+glider, and another beehive+glider that fails because the glider hits the blinker, and no way to make either+blinker from 3 gliders. Others may have more extensive R-pentomino or 3-glider-to-constellation libraries. Goldtiger997 wrote:P.S. It bothers me that currently the hexapole can be synthesised in 8 gliders whereas the pentapole takes 10 gliders. Bob Shemyakin found a 5-glider quadpole synthesis on 2015-03-28, making pentapole 9 gliders: x = 67, y = 22, rule = B3/S23 boboboboo$$bo$bbo4bo11boo18boo18boo$3o4bobo9bobo17bobo17bobo$7boo$21bobo17bobo17bobo$$23bobo17bobo17bobo3o21boo18boo20bobbo5b3o54boob o6bo42bobo9bo41boo52bo$$37b3o12boo$39bo12bobo$38bo9bo3bo$48boo$47bob o! mniemiec Posts: 898 Joined: June 1st, 2013, 12:00 am Re: Soup search results Extrementhusiast wrote:I also found a way to get there from one of the other variants: ... This made me think about other ways to make the remaining 19-bit variant (that can be turned into the 20-bit loaf ones that yield the missing 25-bit molds and 26-bit jams). From the "close but no cigar" department. Maybe somebody can finish/rescue this: x = 239, y = 24, rule = B3/S23 14bo$bbo12boo$obo11boo3bo48bobo$boo8bo7bobo47boo$9bobo7boo48bo57bo$10b
oo114bo66bo$73b4o49b3o64bobo$69bo3bo3bo25boo18boo22bobobo41boo26bobobo
$17bo51bobobo29boo18boo21bo5bo67bo5bo$17bobo20boo18boo7boo3bobbo12boo
6boo10boo6boo10boo6boo20boo6boo10boo6boo10boo11boo15boo$17boo21bo19bo 29bo6bobo10bo6bobo10bo6bobo12bo7bo6bobo10bo6bobo10bo6boo4boo11bo3bo$
28bo12boboo16boboo26boboobbo13boboobbo13boboobbo11bobo9boboobbo13boboo
bbo13boboo18bobo5boboo$26boo17bo19bo29boboo16boboo16boboo26boboo16bob oo4boo10bo29bo$4bo22boo11b3obbobboo10b3obbobboo20b3obbo14b3obbo14b3obb
o13bo10b3obbo14b3obbo7bobo4b3obbo17bo6b3obbo$4boo38boobobo14boobobo24b oo18boo18boo28boo18boo7bo10boo28boobo$3bobo41bo19bo98boo18boo18bobo27b
obo$47bobo17bobo79bo16bobo17bobo17bobo14bo12bobo$48boo18boo97bo19bo3b
oo14bo29bo$16boo5boo165boo$15boo5boo162boo4bo$17bo6bo48boo110bobo$6bo
65boo113bo$6boo66bo$5bobo!
mniemiec

Posts: 898
Joined: June 1st, 2013, 12:00 am

Re: Soup search results

Another "sparse" p2 has appeared: https://twitter.com/conwaylifebot/statu ... 5856801793

If Mark's site is correct, this is one of the 13 unsynthesized 16-bit oscillators. Proof of concept synthesis, but not a practical one:

x = 18, y = 23, rule = B3/S23
4bo$4bo$4bo4$16bo$15bo$6bo8b3o$5bobo5bo$5bobo4bobo$6bo5bobo$obo10bo$b
2o$bo4$8bo$7b2o$2b2o3bobo$3b2o$2bo!

If there is a component to shorten a barberpole, it also solves one of the three remaining 15-bit oscillators (again according to Mark's site).

EDIT: It's not up-to-date with regards to the 15-bit oscillators, but I still can't tell if this one has been checked off.
Tanner Jacobi

Kazyan

Posts: 745
Joined: February 6th, 2014, 11:02 pm

Re: Soup search results

Kayzan wrote:Another "sparse" p2 has appeared: ... If Mark's site is correct, this is one of the 13 unsynthesized 16-bit oscillators.
Proof of concept synthesis, but not a practical one: ...

When there is no synthesis yet, even a ludicrously expensive one is good!
Kayzan wrote:If there is a component to shorten a barberpole, it also solves one of the three remaining 15-bit oscillators (again according to Mark's site).

Sadly, there is no such component known yet, and it would likely be very difficult. When I discussed this topic with Dave Buckinhgam years ago, he said that lengthening a barber pole was relatively easy (he had several converters to do so, and I found several other related ones), but that I would not likely find a way to shorten one.
Kayzan wrote:It's not up-to-date with regards to the 15-bit oscillators, but I still can't tell if this one has been checked off.

FYI, here is my current list of unsynthesized P2s up to 18 bits: 1 14, 2 15s, 6 16s, 24 17s, and 52 18s. Of these, the last 16, 6 of the 17s, and the last 22 18s are trivial, applying grow-barberpole converter to a smaller unsynthethesized one.
x = 149, y = 114, rule = B3/S23
bb3o11boo13boo13boo13boo4boo7boo16bo13bobo10boo$16bobob3o8boboboo9bobo bb3o7bobo4bo7bobob3o9bobobo11bobboo8bobobo$boobbobo28bo28bobo24bo5bo7b
obboo14bo$6bo9bobbobo10bobbo10bobboobo8bobbo11bobbobo9bobo4bobo11boo9b obbo$bbo4boo8bo4bo10bo13bo5bo8bo3b3o8bo15bo5bo6boo14bo$4bo12bo3boo10bo bobo9bo4boo8bo14bo3bobo11bobobo12bo9boobobo$4bobo29boo44boo13bo10bobo
17bo$110bo16boo6$boo5boo6boo5boo6boo4bo8boo3b3o7boobboo9boobboo10bobb
3o8boo13boo13boo$bobo3bobo6bobo3bobo6bobobobboo6bo14bobbobo9bobobbo10b o13bo6boo6bobo12bobobb3o$35bo11boboobo9bo17bo10bobbobboo8bobo4bo12b3o$3bobobo8bobboobo10bo3bo27bo11bo33bobo9bobo10bobboobo$17bo14bo13b3o3bob
o6bobo12bobbobo9bobobobbo8bobbo15bobo8bo$bb3ob3o8bo3b3o8boob3o15boo6bo bobboo8boo4bo8boo3bo11bo3b3o7b3o4bo7bo4bobo$61bo3bo15boo13bo11bo19boo
13boo7$boo13boobb3o8b3o12b3o12boo13boobb3o11bo11boo13boo13boo$bobobo
10bo36boo6bobbobo9bo17boboboo6bobo12bobo3bo8bobob3o$5bobo9bobobboo8bob oob3o7boboobobo8bobbobo8bobobboo8bo6bo27bo$3bo5bo21bo14bo21bo29bo7bobb
oob3o8bobobbo7bobbobo$bbo6bo8bobbobbo6boo3bobo7boo3bobbo7boo4bo9bo3bo 8boo14bo29bo$bboobobobo9bo3bo15bo13bo11boo13bo16bobo7bo3bobo8b3obobo8b
o3bobo$7bo11bo3bo14boo13bo9boo11boobbo12bobobboo14bo14bo14bo$65bo12bo
16bo17boo13boo13boo6$bboo13boo12boo13boo13boo4boo7boo3bo9boo5bo7boo3bo bo8bo3bo9boo$bbobo12bobo11bo3boo9bobo12bobo4bo7bo4bo9bo6bo7bo4bo10bobo
bboo7bobobboo$21bo10bobobo13bo14bobo9bobobbo9bobobobbo7bobo4boo6bobo 15bobo$bbobboo10bo3bo26bobboo10bo49bo12bo11bo$7bo14bo9boobbo29bo10bo3b obo8bobbobobo7bo3bo11bo17bo$boo13boo16bo13bobobo9bobobbo8bobbobobo9bo
6bo5bobbobo13bobo9bobo$7bobo12bobo11bobo9boo12boobboo8boo5bo9bo5boo5b oo13boobbobo9boobbobo$3bobobboo8bobobboo14bo12bobo68bo3bo14boo$5bo14bo 17boo13boo5$boo4bo10bo12boo4bo9bo14bo14bo3bo9boo13boo3bo9bo3bo14bo$bob o3bo10bo4boo6bo5bo9bo6boo6bobo12bo3bobo7bobo5boo5bo4bobo7bo3bobo12bobo$5bobbo7bobbo4bo7bobobobbo6bobbo3bobo6bobobo9bobbo20bo6bobo10bobbo14bo
5bobo$3bo17bobo44bo15boo5bobboobobo14boo12boo6boo6bo$6boo8boobbo11bobb
obboo6boboboobo9bo4bobo6boo13bo15bo12boo17bo6boo$bbobo17b3o8bo12boo14b o6bo14bo7bo3bobbo7bo6bo12bobbo7bobo5bo$bboobb3o8b3o13bobb3o13b3o7boobo
bobo6b3obobo15bo8boobobo10bobo3bo12bobo$67bo14bo15bo13bo12bo3bo14bo6$
bboo12boo13boobo13boo12bo14boo12boo13boo15bobo$bbobo11bobobobo8bo3boo 12bo12bo14bobo11bobo12bobo16bo12bobo$6bo13bo11bo15bo3bo8bobbo16bobo37b
oo4bo12bo$bbobbobo10bo4boo9bo3boo10bobobo14boo6bo3bo9bobboo3bo6bobboo 3boo7bo4boo6boo4bo$7bo14bo11bo4bo6boo6bo6boboboobobo13boo6bo6bo7bo7bo
22bo4boo$boo15boobobo11boobo14bobo5boo13boo5bo8bo3boobbo6bo3boobo9boo 4bo9bo$7bobo37bo5bo13bobbo11bobo41bo4boo7bo4bo$3bobobboo7b3o17b3o9bobo 17bo8bobo17bobo12b3o12bo12bo4boo$5bo43bo19bo10bo18boo27bobo12bo$143bob o4$bbobo14bo14bo14bo11boo6boo5boobboo9boo13boo13boo13boo$4bo14bobo12bo bo12bobo9bobo6bo5bobobbo9bobo12bobo12bobo5bo6bobo5bo$oo4bo10bo14bo5bo
8bo5bo13bobo10bo18boo11b3o14bo10bobobo$bbo19boo14bo14bo9bobo11bo15bobo 4bo7bobo12bobobobbo7bo3bobo$6boo8boo6bo6boo6bo6boo6bo11bobbo6bobbobo
15bobo11bobo$3boo57b3o3bo7boo15bobbo10b3o13bobbobobo7bobobbo$8bo9bo6b
oo6bo6boo6bo6boo11bo12bobo10bo3b3o12bobo8bo4boo7boobbo$4bo4boo8boo13bo 14boo31boo10bo19boo8bo17bo$6bo18bo8bo5bo14bo$6bobo12bobo12bobo12bobo$
23bo14bo14bo3$boo13boo13boo13boo4bo8boo4bo8boo4bo8boo13boo4bo8boo13boo$bobo5boo5bobo5boo5bobo4bo7bo5bo8bo5bo8bobo3bo8bobo12bo5bo8bobo12bobo$10bo14bo12bo8bobobobbo7boboobbo11bobbo11bobo9bobobobbo$3bobobobo8bobob
obo8boboobbo36bobbo13bo3bo25bobo3boo5bobboob3o$49bo3boo6b3obbobo8bo3bo bo15bo9bo3boo15bo6bo$3bobbob3o6b3obobbo7b3obbobo37bo15bobo4boo20b3oboo
bo7bo3bobo$4bo18bo16bo8b3ob3o12bobo12bobo7boobbo10bobobo$4bo18bo15boo
28boo13boo11bobo8bobo17b3o12bobo$108bo35boo5$boo13boo3bo9boo3bo9boo3bo
9boo13boo$bobo3bo8bo4bo9bo4bobo7bo4bobo7bobo12boboboo$7bo9bobobbo9bobo
12bobo15bo15bo$3bobobbo30boo13boo7bobboo9bobbo$16b3obobo11bo14bo28bo$bb3obobo26bo3bo10boobbo8bobobo10bobobo$22bobo10bo27boo$8bobo14bo11bobo 12bobo12bobo12bobo$9boo13boo12boo13boo15bo14bo$69boo13boo! mniemiec Posts: 898 Joined: June 1st, 2013, 12:00 am Re: Soup search results That one other P2 variant mentioned recently: x = 194, y = 38, rule = B3/S23 142bo$64bo76bo$65bo75b3o$63b3o73bo$67bo72bo$67bobo68b3o$67b2o$114bo$113bo26bobo$2o53b2o44b2o6b2o2b3o14b2o8b2o15b2o26b2o$o17b2o35bo17b3o25b o6bo2bo18bo10bo15bo27bo$bob2o3b2o4b2ob2o37bob2o3b2o8bo28bob2o2bob2o19b
ob2o23bob2o24bob2o$5bobobo3bobo3bo40bobobo9bo31bobo26bo7bo18bo27bo$3o
2bobo5b2o40b3o2bobo38b3o2bobo21b3o2bo7bobo11b3o2bo22b3o2bo$4b2ob2o20bo 29b2ob2o41b2ob2o24b2ob2o4b2o16b2obo24b2obo$29bobo29bo2bo42bo2bo25bo2bo
23bobo25bobo$13b2o14b2o30bobo43bobo26bobo24bo2bo24bobo$b2o9bo2bo46bo
45bo28bo16bo9bobo25bo$o2bo8bo2bo139b2o8bo$o2bo3b2o4b2o139b2o$b2o4bobo 103bo28bo$7bo105bo28bo27bo$14b2o97bo28bo27bo$4bo9bobo153bo$4b2o8bo45b 3o46b3o3b3o20b3o3b3o10bo$3bobo151b2o7b3o3b3o$64b2o47bo28bo13bobo4b2o$
63bo2bo46bo28bo21b2o4bo$63bo2bo46bo28bo20bo6bo$64b2o104bo2$62bo$62b2o$61bobo2$76b3o$76bo$77bo!

It's probably possible to get to the traffic light with only two cleanup gliders, although that would probably require a computer search.

mniemiec wrote:
Kayzan wrote:If there is a component to shorten a barberpole, it also solves one of the three remaining 15-bit oscillators (again according to Mark's site).

Sadly, there is no such component known yet, and it would likely be very difficult. When I discussed this topic with Dave Buckinhgam years ago, he said that lengthening a barber pole was relatively easy (he had several converters to do so, and I found several other related ones), but that I would not likely find a way to shorten one.

I found a way, although it isn't applicable here:
x = 15, y = 27, rule = B3/S23
5bo$5bobo$5b2o2$o$b2o$2o3$10b2o$9bobo$b2o$obo4bobo4bo$2bo3bo5b2o$6b2o 5b2o6$3o9bo$2bo8b2o$bo9bobo2$6b2o$6bobo$6bo! However, based off of the predecessor, here is a final step for the 15-bit version: x = 32, y = 29, rule = B3/S23 31bo$29b2o$30b2o$7bo$8b2o13bo$7b2o3bobo6b2o$12b2o8b2o$13bo2$6bo$4bobo
10b2o$b2o2b2o9bobo$obo8bo4bo$2bo7bobob2obo$10bob2obobo5b2o$8b2obo4bo5b 2o$8bo2bo12bo$2bo6b2o$2b2o$bobo$14b2o$13bobo$15bo4b2o$20bobo$20bo2$13b 2o$12bobo$14bo! EDIT: The prior steps: x = 184, y = 34, rule = B3/S23 125bobo$125b2o$126bo$110bo$111b2o15bobo$110b2o16b2o$129bo4$83bo29bo$18bo65b2o28bo42bo$18bobo62b2o27b3o40b2o$18b2o136b2o$83bo26b2o$9bobo71b 2o24bobo40b2o$10b2o10b2o38b2o18bobo6b2o18bo7b3o5b2o24bo5b2o21b2o$10bo 10bobo20bo16bobo26bobo33bobo18b2o3bo5bobo20bobo$21bo23b2o14bo28bo35bo
19bobo3b2o4bo17bo4bo$obo14bob2obo21b2o11bob2obo23bob2obo30bob2obo20bo 5bob2obo15bobob2obo$b2o2b2o10b2obobo34b2obobo23b2obobo30b2obobo26b2obo
bo15bob2obobo$bo2bobo14bo33b2o4bo22b2o4bo29b2o4bo25b2o4bo14b2obo4bo$6b
o47bobo26bobo33bobo29bobo19bo2bo$55bo26bobo33bobo29bobo21b2o$82b2o34b
2o30b2o$10b3o$12bo133bo5b2o$11bo134b2o4bobo$18b3o124bobo4bo$18bo29bo$
19bo27b2o$43bo3bobo$44b2o$43b2o! I Like My Heisenburps! (and others) Extrementhusiast Posts: 1682 Joined: June 16th, 2009, 11:24 pm Location: USA Re: Soup search results mniemiec wrote:... FYI, here is my current list of unsynthesized P2s up to 18 bits: 1 14, 2 15s, 6 16s, 24 17s, and 52 18s. Of these, the last 16, 6 of the 17s, and the last 22 18s are trivial, applying grow-barberpole converter to a smaller unsynthethesized one. x = 149, y = 114, rule = B3/S23 bb3o11boo13boo13boo13boo4boo7boo16bo13bobo10boo$16bobob3o8boboboo9bobo
bb3o7bobo4bo7bobob3o9bobobo11bobboo8bobobo$boobbobo28bo28bobo24bo5bo7b obboo14bo$6bo9bobbobo10bobbo10bobboobo8bobbo11bobbobo9bobo4bobo11boo9b
obbo$bbo4boo8bo4bo10bo13bo5bo8bo3b3o8bo15bo5bo6boo14bo$4bo12bo3boo10bo
bobo9bo4boo8bo14bo3bobo11bobobo12bo9boobobo$4bobo29boo44boo13bo10bobo 17bo$110bo16boo6$boo5boo6boo5boo6boo4bo8boo3b3o7boobboo9boobboo10bobb 3o8boo13boo13boo$bobo3bobo6bobo3bobo6bobobobboo6bo14bobbobo9bobobbo10b
o13bo6boo6bobo12bobobb3o$35bo11boboobo9bo17bo10bobbobboo8bobo4bo12b3o$
3bobobo8bobboobo10bo3bo27bo11bo33bobo9bobo10bobboobo$17bo14bo13b3o3bob o6bobo12bobbobo9bobobobbo8bobbo15bobo8bo$bb3ob3o8bo3b3o8boob3o15boo6bo
bobboo8boo4bo8boo3bo11bo3b3o7b3o4bo7bo4bobo$61bo3bo15boo13bo11bo19boo 13boo7$boo13boobb3o8b3o12b3o12boo13boobb3o11bo11boo13boo13boo$bobobo 10bo36boo6bobbobo9bo17boboboo6bobo12bobo3bo8bobob3o$5bobo9bobobboo8bob
oob3o7boboobobo8bobbobo8bobobboo8bo6bo27bo$3bo5bo21bo14bo21bo29bo7bobb oob3o8bobobbo7bobbobo$bbo6bo8bobbobbo6boo3bobo7boo3bobbo7boo4bo9bo3bo
8boo14bo29bo$bboobobobo9bo3bo15bo13bo11boo13bo16bobo7bo3bobo8b3obobo8b o3bobo$7bo11bo3bo14boo13bo9boo11boobbo12bobobboo14bo14bo14bo$65bo12bo 16bo17boo13boo13boo6$bboo13boo12boo13boo13boo4boo7boo3bo9boo5bo7boo3bo
bo8bo3bo9boo$bbobo12bobo11bo3boo9bobo12bobo4bo7bo4bo9bo6bo7bo4bo10bobo bboo7bobobboo$21bo10bobobo13bo14bobo9bobobbo9bobobobbo7bobo4boo6bobo
15bobo$bbobboo10bo3bo26bobboo10bo49bo12bo11bo$7bo14bo9boobbo29bo10bo3b
obo8bobbobobo7bo3bo11bo17bo$boo13boo16bo13bobobo9bobobbo8bobbobobo9bo 6bo5bobbobo13bobo9bobo$7bobo12bobo11bobo9boo12boobboo8boo5bo9bo5boo5b
oo13boobbobo9boobbobo$3bobobboo8bobobboo14bo12bobo68bo3bo14boo$5bo14bo
17boo13boo5$boo4bo10bo12boo4bo9bo14bo14bo3bo9boo13boo3bo9bo3bo14bo$bob
o3bo10bo4boo6bo5bo9bo6boo6bobo12bo3bobo7bobo5boo5bo4bobo7bo3bobo12bobo
$5bobbo7bobbo4bo7bobobobbo6bobbo3bobo6bobobo9bobbo20bo6bobo10bobbo14bo 5bobo$3bo17bobo44bo15boo5bobboobobo14boo12boo6boo6bo$6boo8boobbo11bobb obboo6boboboobo9bo4bobo6boo13bo15bo12boo17bo6boo$bbobo17b3o8bo12boo14b
o6bo14bo7bo3bobbo7bo6bo12bobbo7bobo5bo$bboobb3o8b3o13bobb3o13b3o7boobo bobo6b3obobo15bo8boobobo10bobo3bo12bobo$67bo14bo15bo13bo12bo3bo14bo6$bboo12boo13boobo13boo12bo14boo12boo13boo15bobo$bbobo11bobobobo8bo3boo
12bo12bo14bobo11bobo12bobo16bo12bobo$6bo13bo11bo15bo3bo8bobbo16bobo37b oo4bo12bo$bbobbobo10bo4boo9bo3boo10bobobo14boo6bo3bo9bobboo3bo6bobboo
3boo7bo4boo6boo4bo$7bo14bo11bo4bo6boo6bo6boboboobobo13boo6bo6bo7bo7bo 22bo4boo$boo15boobobo11boobo14bobo5boo13boo5bo8bo3boobbo6bo3boobo9boo
4bo9bo$7bobo37bo5bo13bobbo11bobo41bo4boo7bo4bo$3bobobboo7b3o17b3o9bobo
17bo8bobo17bobo12b3o12bo12bo4boo$5bo43bo19bo10bo18boo27bobo12bo$143bob
o4$bbobo14bo14bo14bo11boo6boo5boobboo9boo13boo13boo13boo$4bo14bobo12bo
bo12bobo9bobo6bo5bobobbo9bobo12bobo12bobo5bo6bobo5bo$oo4bo10bo14bo5bo 8bo5bo13bobo10bo18boo11b3o14bo10bobobo$bbo19boo14bo14bo9bobo11bo15bobo
4bo7bobo12bobobobbo7bo3bobo$6boo8boo6bo6boo6bo6boo6bo11bobbo6bobbobo 15bobo11bobo$3boo57b3o3bo7boo15bobbo10b3o13bobbobobo7bobobbo$8bo9bo6b oo6bo6boo6bo6boo11bo12bobo10bo3b3o12bobo8bo4boo7boobbo$4bo4boo8boo13bo
14boo31boo10bo19boo8bo17bo$6bo18bo8bo5bo14bo$6bobo12bobo12bobo12bobo$23bo14bo14bo3$boo13boo13boo13boo4bo8boo4bo8boo4bo8boo13boo4bo8boo13boo
$bobo5boo5bobo5boo5bobo4bo7bo5bo8bo5bo8bobo3bo8bobo12bo5bo8bobo12bobo$
10bo14bo12bo8bobobobbo7boboobbo11bobbo11bobo9bobobobbo$3bobobobo8bobob obo8boboobbo36bobbo13bo3bo25bobo3boo5bobboob3o$49bo3boo6b3obbobo8bo3bo
bo15bo9bo3boo15bo6bo$3bobbob3o6b3obobbo7b3obbobo37bo15bobo4boo20b3oboo bo7bo3bobo$4bo18bo16bo8b3ob3o12bobo12bobo7boobbo10bobobo$4bo18bo15boo 28boo13boo11bobo8bobo17b3o12bobo$108bo35boo5$boo13boo3bo9boo3bo9boo3bo 9boo13boo$bobo3bo8bo4bo9bo4bobo7bo4bobo7bobo12boboboo$7bo9bobobbo9bobo 12bobo15bo15bo$3bobobbo30boo13boo7bobboo9bobbo$16b3obobo11bo14bo28bo$
bb3obobo26bo3bo10boobbo8bobobo10bobobo$22bobo10bo27boo$8bobo14bo11bobo
12bobo12bobo12bobo$9boo13boo12boo13boo15bo14bo$69boo13boo!

I mistakenly thought I found this p2 16-bit oscillator in the list above and found a synthesis for it:

x = 5, y = 8, rule = B3/S23
o2b2o$obobo$o$2bo$2bo$o$obobo$o2b2o! It is quite a cheap synthesis so I'll post it anyway. What was the previously known synthesis? Here it is 12 gliders: x = 34, y = 61, rule = B3/S23 4$11bo$10bo$10b3o3$11bo$12b2o$11b2o$15b2o$14bobo$16bo4$17bo$17bobo$17b 2o$8bobo$9b2o$9bo3$6bo$7bo$5b3o2$2b3o$4bo$3bo2$15bo$14b2o$14bobo$6b2o$5bobo$7bo3$20bo$19bo$19b3o$15b3o$15bo$16bo4$10b3o$10bo$11bo! It kind of looks like the gliders would collide when rewound but in fact they don't: EDIT: Extrementhusiast wrote:... EDIT: The prior steps: prior steps that I had no luck constructing myself Great! That makes 42 gliders in total: (EDIT 4: replaced this with a 37 glider version using a better converter from Extrementhusiast and chris_c) x = 447, y = 30, rule = B3/S23 49bo$47bobo381bo$48b2o7bo371b2o$57bobo4bo280bo84b2o$57b2o4bo279bobo61b o$63b3o110bo3bo163b2o3bo58b2o13bo$177bobo53bo115bobo55b2o3bobo6b2o$
175b3ob3o51bobo113b2o61b2o8b2o$67b2o164b2o178bo$57bo8b2o276bo3bo$56bo 11bo19bo29bo29bo29bo45bobo118bo3b2o55bo$56b3o28bobo27bobo27bobo27bobo
27b2o16b2o10b2o28b2o28b2o28b2o14b3o2b2o7b2o28b2o15bobo10b2o$86bobo3b2o 22bobo3b2o22bobo27bobo27bobo16bo10bobo27bobo10bo16bobo27bobo27bobo27bo bo12b2o2b2o9bobo21b2o$54b2o30bo5b2o22bo5b2o22bo29bo29bo29bo29bo13b2o
14bo29bo29bo24bo4bo13bobo8bo4bo23bobob3o$31b2o20bobo5b2o19bob2obo24bob 2obo24bob2obo24bob2obo24bob2obo7bobo14bob2obo24bob2obo11b2o11bob2obo 24bob2obo24bob2obo22bobob2obo14bo7bobob2obo$3o28b2o22bo5b2o19b2obobo
24b2obobo6b2o16b2obobo24b2obobo24b2obobo8b2o2b2o10b2obobo24b2obobo24b
2obobo24b2obobo24b2obobo22bob2obobo22bob2obobo5b2o15bo2bobo$2bo83bo29b o7bobo19bo29bo29bo9bo2bobo14bo23b2o4bo23b2o4bo23b2o4bo23b2o4bo21b2obo 4bo21b2obo4bo5b2o17bo4bo$bo122bo96bo37bobo27bobo27bobo27bobo26bo2bo26b
o2bo12bo16bo3b2o$3b3o254bo29bo27bobo27bobo28b2o21bo6b2o$3bo314b2o28b2o
52b2o$4bo220b3o173bobo$227bo116bo5b2o62b2o$226bo117b2o4bobo60bobo$233b
3o107bobo4bo64bo4b2o$233bo49bo136bobo$234bo47b2o136bo$278bo3bobo$279b
2o132b2o$278b2o132bobo$414bo!

Only one 15-bit oscillator left; muttering moat 1.

EDIT 2:

Here's one of the unsolved 17-bit p2s in 15 gliders:

x = 34, y = 55, rule = B3/S23
31bo$31bobo$31b2o8$10bobo$11b2o$11bo$19bobo$10bo8b2o$9bo10bo$9b3o$obo$b2o10bobo$bo11b2o$14bo5$16bobo$16b2o$17bo$19b2o$19bobo$19bo4$14bo$bo 11b2o4b3o$b2o10bobo3bo$obo17bo$9b3o$9bo$10bo3$24bo$23b2o$23bobo$7bo$7b 2o$6bobo4$31b2o$31bobo$31bo! EDIT 3: Here's one of the unsolved 18-bit p2s in 16 gliders: x = 49, y = 58, rule = B3/S23 11bo$12bo$10b3o4$15bo$13bobo$14b2o4$2bo$obo$b2o3$23bo$22bobo$22bo2bo$23b2o6$36bo$15b2o19bobo$14bo2bo14b2o2b2o$11b2o2b2o14bo2bo$10bobo19b2o$12bo6$24b2o$23bo2bo$24bobo$25bo3$46b2o$46bobo$46bo4$33b2o$33bobo$33bo 4$36b3o$36bo$37bo!
Last edited by Goldtiger997 on January 17th, 2017, 7:07 pm, edited 1 time in total.

Goldtiger997

Posts: 372
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

Re: Soup search results

Extrementhusiast wrote:The prior steps

This gives a 5 glider reduction and yields 16.897 and 16.1086 in 14 and 13 gliders respectively:

x = 35, y = 44, rule = LifeHistory
29.A$23.A5.A.A$21.2A6.2A$15.A6.2A$13.A.A$14.2A10$3A$2.A$.A4$22.E.2E$
22.2E.E$20.2E$19.E.E$18.E.E$18.2E15$.2A30.2A$A.A29.2A$2.A31.A! chris_c Posts: 788 Joined: June 28th, 2014, 7:15 am Re: Soup search results Goldtiger997 wrote:Here it is 12 gliders: x = 34, y = 61, rule = B3/S23 4$11bo$10bo$10b3o3$11bo$12b2o$11b2o$15b2o$14bobo$16bo4$17bo$17bobo$17b 2o$8bobo$9b2o$9bo3$6bo$7bo$5b3o2$2b3o$4bo$3bo2$15bo$14b2o$14bobo$6b2o$5bobo$7bo3$20bo$19bo$19b3o$15b3o$15bo$16bo4$10b3o$10bo$11bo! It kind of looks like the gliders would collide when rewound but in fact they don't: 10G: x = 23, y = 50, rule = B3/S23 12bo$11bo$11b3o3$12bo$13b2o$12b2o$16b2o$15bobo$17bo8$o$b2o$2o$14bo$12b
2o$13b2o3$13b2o$12b2o$3b2o9bo$4b2o$3bo8$21bo$20bo$20b3o$16b3o$16bo$17b
6.E.E$5.E.E$5.2E2$.A5.2A$.2A4.A.A$A.A4.A! I Like My Heisenburps! (and others) Extrementhusiast Posts: 1682 Joined: June 16th, 2009, 11:24 pm Location: USA Re: Soup search results A 41-cell SL that also implies a simpler synthesis of a 40-cell pseudo-SL: x = 16, y = 16, rule = B3/S23 booboobobooboooo$
obooobbbobobboob$obbboooboobbbobo$
obboobbbobbobbbb$oooboooboobbooob$
ooooboobbbbbbobo$obbbbbbobbbobbbo$
booooboobboboboo$bboooobobooobobo$
oobbobbbbbbobobo$ooboobooobbobbbo$
bbbbbooboooobobo$bbooobbbbbboboob$
oobobbbobbbbbbob$bobbbboobbboobob$
bobooooooobobbbb!

What I'm calling a "two-leaf clover":
x = 16, y = 16, rule = B3/S23
obobbbbobobbooob$obbobboooboobobo$
boobobbbooboobbo$obbbobbbbooboooo$
boboooobbboboooo$bobobooobooooobo$
bbboboobboobobbo$boboobobooooobbo$
oobbobbooobboboo$obbbboboooboobbb$
bbboobbobbbbooob$obboooobboooobbo$
obooobooobboooob$obooobbooobbbobo$
bbbbbooobbbbboob$oooboobbbbobbbbb! (Although I definitely don't have naming rights.) 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 Aidan F. Pierce A for awesome Posts: 1599 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Re: Soup search results The 41-cell SL and the two variants: x = 104, y = 24, rule = B3/S23 13bo39bo39bo$12bo39bo39bo$12b3o37b3o37b3o2$5bobo37bobo14bo15bo6bobo14b
o$6b2o38b2o13bo17bo6b2o13bo$6bo39bo14b3o13b3o6bo14b3o$16bo39bo39bo$14b
2o38b2o38b2o$15b2o38b2o38b2o$8bo39bo39bo$bo4bobo10bo21bo4bobo10bo21bo 4bobo10bo$2bo4b2o9bo23bo4b2o9bo23bo4b2o9bo$3o15b3o19b3o15b3o19b3o15b3o 8$3b3o9b3o25b3o9b3o25b3o9b3o$5bo9bo29bo9bo29bo9bo$4bo11bo27bo11bo27bo
11bo!

The two-leaf's reaction, and another found while experimenting, both in 5 gliders:
x = 67, y = 25, rule = B3/S23
27bo37bo$26bo31bo5bo$26b3o28bo6b3o$10bo46b3o$11b2o$10b2o3$59bo$2b2o3b 2o33b2o3b2o8b2o$bo2bobo2bo31bo2bobo2bo8b2o$bob2ob2obo10bo20bob2ob2obo$
2o2bobo2b2o8bo20b2o2bobo2b2o$2b2o3b2o10b3o20b2o3b2o$2o2bobo2b2o4b3o22b
2o2bobo2b2o$bob2ob2obo5bo25bob2ob2obo$bo2bobo2bo6bo24bo2bobo2bo$2b2o3b 2o33b2o3b2o$56b3o$18b3o35bo$18bo38bo$19bo$48b2o$49b2o$48bo!
43bo$44bo! LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1677 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's Re: Soup search results The 41-cell SL in 8G: x = 51, y = 59, rule = B3/S23 49bo$48bo$48b3o19$o$b2o$2o15$17bo$18b2o$17b2o$30b2o$26bo3b2o$25b2o$25b obo8$17bobo$18b2o$18bo2$18b3o$20bo$19bo! 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: 408 Joined: April 13th, 2016, 9:40 am Location: Ishikawa Prefecture, Japan Re: Soup search results "22-bit p4 oscillator #2" in 14 gliders: x = 34, y = 26, rule = B3/S23 15bo$16bo$14b3o$22bo$21bo$21b3o7bo$30bo$16bo13b3o$15bo$15b3o$bo8bo17bo$2bo8b2o14bo$3o7b2o15b3o$4b3o15b2o7b3o$6bo14b2o8bo$5bo17bo8bo$16b3o$
18bo$b3o13bo$3bo$2bo7b3o$12bo$11bo$17b3o$17bo$18bo!

Tight predecessor for "22-bit p4 oscillator #3":
x = 9, y = 22, rule = B3/S23
bo$obo$obo5bo$bo4b2o$8bo3$6b3o$8bo$5b3o3$5b3o$8bo$6b3o3$8bo$bo4b2o$obo 5bo$obo$bo! LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1677 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's Re: Soup search results Kayzan wrote:If there is a component to shorten a barberpole ... Extrementhusiast wrote:I found a way, although it isn't applicable here: ... Wow! Very impressive! I would not have expected such a converter to have been found for a long time (and certainly not this cheaply). One of the gliders can be moved to make this less obtrusive, and allow its use in many situations where one side the modified pattern protrudes beyond the lane the barber-pole is in on one side, but not the other. While there are few cases I can think of where this converter is advantageous, it IS useful for adding tripoles, because that takes around 20 gliders, while adding a quadpole takes only 7, and shorting it another 7, saving 6 gliders. (This does not help with bipoles, because adding a bipole is cheaper than shortening a quadpole twice.) I have tried applying this to all my syntheses involving tripoles. This improves 5 oscillator syntheses. It also improves 5 pseudo-oscillator syntheses; the last one requires a slight alteration of this method, but it could not previously be done this way at all, so this dramatically reduces the cost from 41 to 20 gliders. I currently have 5 syntheses that cannot currently be improved because they protrude on both sides; 3 of these are pseudo-objects, formed from the 3 still-lifes that I originally found most challenging when first investingating pseudo-object syntheses. There are 133 other syntheses where this improves an alternate synthesis, but not the minimal one. The 5 improved oscillator syntheses: x = 227, y = 209, rule = B3/S23 93bo$92bo$38bobo51b3o$39boo$39bo5bo53bo$46boo43bo5boo$11bo33boo42bobo 6boo$9boo30boo47boo$10boo30boo$41bo58bo$99boo$64boo28boo3bobo$64bo29bo 20boo$bbo62bobo23bo3bobo17bobo$obo89bo$boo25boo18boo17bobo15boo3b3o4bo
bo17bobo$13b3o12bobo17bobo19bo15boo12bo19bo$13bo15boo18boo18boo14bo4bo
8boo18boo$4bobo7bo16boo18boo18boo17boo9boo18boo$5boo24bo19bo19bo17bobo
9bo19bo$5bo26bobo17bobo17bobo27bobo17bobo$35bo19bo19bo29bo19bo$6b3o11b oo12boo18boo18boo28boo18boo$8bo11bobo$7bo12bo3$19boo$19bobo$19bo$$8boo 9boo8bo610bo8bobo9boo138bo88bobo57bo33bo55boo57b3o13bobo17bobo 53bo5bo14boo17boo61boo14bo80boo41bo12bo91boo46boo5bobobbobo92boo 44boo7boobboo91bo42bo12bo56bobo75boo23bo28bo3boo56boo17bobo8boo24b o28boobbo56bo29bo20boo22b3o27boo61bobo27bobo17bobo26bo26bobo10bo19b o18boo18boo17bobo17b3o7bobo17bobo26boo10boboboo14boboboo14boboboo14bo boboo16boboo15bo3boo5boboo16boboo17bo21boobobo14boobobo14boobobo14boo bobo14boobobo13bo4bobo3boobobo14boobobo18boo21bobbo16bobbo16bobbo16bo bbo16bobbo18bo7bobbo16bobbo17boo22bobo17bobo17bobo17bobo17bobo27bobo 17bobo42bo19bo19bo19bo19bo29bo19bo1019bo19boo18bobo37boo16bo8boo 14boo7bo16bobo139bo10bo178bo8b3o117bobo57bo19bo109boo57b3o18bo 110bo5bo18b3o115boo135boo41bo12bo131boo46boo5bobobbobo10bobo119boo 44boo7boobboo11boo118bo42bo12bo11bo10bo73bobo75boo21bo70bo3boo56boo 17bobo8boo21b3o69boobbo56bo29bo20boo92boo61bobo27bobo17bobo24boo 24bobo12bobboo15bobboo15bobboo15bobboo14boobboo14boobboo13bobobboo13b 3o7bobobboo13bobobboo24bo13bobobbo14bobobbo14bobobbo14bobobbo14bobobb o14bobobbo16bobbo15bo3boo5bobbo16bobbo8bo30boobo16boobo16boobo16boobo 16boobo16boobo16boobo15bo4bobo3boobo16boobo8boo4b3o24bo19bo19bo19bo 19bo19bo19bo21bo7bo19bo7bobo6bo15bo8bobo17bobo17bobo17bobo17bobo17bob o17bobo27bobo17bobo15bo15bo10boo18boo18boo18boo18boo18boo18boo28boo 18boo31b3o42boo18boo42boo18boo17bo4b3o17boo5bo39b3o16bobo4bo40bo 65bo811bo12boo11boo37bo36bo36b3o154bo192bo138bobo51b3o139boo 139bo5bo53bo16bo129boo43bo5boo14bobo27bo100boo42bobo6boo15boo22bob obbobo94boo47boo39boo3boo96boo40bo100bo58bo106bobo90boo102bo3boo 56boo28boo3bobo78bo24boobbo56bo29bo20boo78bobo21boo61bobo23bo3bobo 17bobo78boo112bo49bo19bo19bo19bo18boo18boo17bobo15boo3b3o4bobo17bobo 8bo3bo35bobo5boo10bobo5boo10bobo17bobo17bobo17bobo19bo15boo12bo19bo 9boobobo34boo5boo11boo5boo11boo18boo18boo18boo18boo14bo4bo8boo18boo8b oobboo37boo18boo18boo18boo18boo18boo18boo17boo9boo18boo51bo19bo19bo 19bo19bo19bo19bo17bobo9bo19bo52bobo17bobo17bobo17bobo17bobo17bobo17bo bo27bobo17bobo$$54bobo17bobo17bobo17bobo17bobo17bobo17bobo27bobo17bobo
$55boo18boo18boo18boo18boo18boo18boo28boo18boo13$3boo30bo$4boo28boo$3b
o30bobo3$6b3o$8bo$7bo7$3boo28boo18boo28boo18boo28boo28boo38boo$3bo29bo 19bo29bo19bo29bo29bo39bo$5boo28boo18boo28boo18boo28boo28boo38boo$$6bob o27bobo17bobo27bobo17bobo27bobo27bobo37bobo$$8bobo27bobo17bobo27bobo
17bobo27bobo27bobo37bobo$$10bobo27bobo17bobo27bobo17bobo27bobo27bobo 37bobo12bo8bo20bo19bo29bo19bo29bo29bo39bo14bo4boo23bo19bo29bo19bo29b o29bo39bo13boo5boo21boo18boo28boo18boo28boo28boo7bo30boo45boo18boo 28boo18boo28boo28boo3bobo4bo27boo5bobbo9bo26bobo17bobo27bobo17bobo27b o29bo5boo3bo28bo9bobbo4boo27bo19bo29boo18boo28bobo27bobo7b3o27bobo5b o3bobboo3bobo6b4obobo58boo74bobo27bobo37bobo68bobboo78bo29bo37boo 15boo51boo3bo76boo28boo8bobo15bobo49bobo120boo15bo108bo53bo12bo122b oo49boobboo7boo123boo47bobobbobo5boo119boo53bo12bo118boo120bo5bo 125boo48b3o125bobo49bo176bo! The 5 improved pseudo-oscillator syntheses: x = 227, y = 167, rule = B3/S23 199bo198bo154bobo41b3o155boo155bo5bo43bo162boo33bo5boo161boo32bo bo6boo157boo37boo158boo157bo48bo122bobo80boo118bo3boo56boo18boo3b obo46bobo70boobbo56bo19bo20boo47boo69boo61bobo13bo3bobo17bobo47bo 36bo113bo85bo19bo19bo18boo18boo17bobo5boo3b3o4bobo17bobo29boo18boo 32b3o18bobo17bobo17bobo17bobo19bo5boo12bo19bo29boo18boo54boo18boo18b oo18boo18boo4bo4bo8boo18boo196boo25boo18boo18boo18boo18boo18boo18boo 18boo18boo8bobo7boo18boo26bo19bo19bo19bo19bo19bo19bo19bo19bo19bo19bo 23bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo4bo 17bo19bo19bo19bo19bo19bo19bo19bo19bo19bo19bo5bobbobo11boo18boo18boo 18boo18boo18boo18boo18boo18boo18boo18boo3b3obboo7boo9bo6boo18bo4b oo3boo5bo12179bo148bobo29bo148boo28b3o143bo5bo3bo137boobobo 138boo33bo12bobboo142boo27bobobbobo5boo12bobo130boo29boobboo7boo12b oo88bobo42bo33bo12bo13bo88boo89boo103bo59boo18boo8bobo31boo18boo18b oo18boo18boo18boo18boo11bo6boo11bo16boo9boo31bobo17bobo17bobo17bobo 10boo5bobo17bobo17bobo7bobo7bobo7bobo17bobo7bobo60bo42boo33bobo17bob obboo13bobo3bo13bobo3bo5bo7bobo3boo12bobo3boo12bobo3bobo11bobo3bobo7b 3o11bobo3bobo36bo19bobboo15bobobo15bobobo15bobobo15bobobo15bobo17bobo 5boo3bo16bobo35boo18boo18booboo15booboo15booboo15booboo15booboo15boob oo3bobo4bo14booboo3o182bobbobo13b3o11boobbo12boobbo11bo24boo 24bobo24bo93bobobobboo12bobo12boo13bo63bo31boo18boo11bo6boo 18boo18boo18boo18boo18boo28boo31bobo17bobo8b3o6bobo17bobo17bobo17bobo 17bobo17bobo27bobo$$33bobo17bobo5b3o9bobo17bobo17bobo17bobo17bobo17bob
o9bo17bobo$36bo19bo4bo14boboo16boboo16boboo16boboo16boboo16boboo3bobo 4bo15boboo$35boo18boo5bo12boobobo14boobobo14boobobo14boobobo14boobo16b
oobo5boo3bo15boobo$3o76bo19bo5bo13boo18boo18bobo17bobo7b3o17bobo$bbo
56bo43boo$bo13b3o41boo43boo55bobo17bobo27bobo$11boobbo42bobo103bo19bo
27boo$12boobbo86bo59boo18boo8bobo$11bo90boo89boo$24boo76bobo42bo33bo 12bo$24bobo118boo29boobboo7boo$24bo121boo27bobobbobo5boo$142boo33bo12b
o$141boo$143bo5bo$148boo28b3o$148bobo29bo$179bo8$129bo$128bo$74bobo51b
3o$75boo$75bo5bo53bo$82boo43bo5boo$81boo42bobo6boo$77boo47boo$78boo$77bo58bo$135boo$38bo10boo49boo28boo3bobo$6bo7bo24bo7bobobo48bo29bo20b
oo$4bobo5boo23b3o5bobobo51bobo23bo3bobo17bobo$5boo6boo31boo80bo$41boo 21boo18boo17bobo15boo3b3o4bobo17bobo$5bo36boo20bobo17bobo19bo15boo12bo
19bo$5boo34bo23boo18boo18boo14bo4bo8boo18boo$4bobo9boo11boo18boo18boo
18boo18boo15boo11boo18boo$16bobo6boo3bo14boo3bo14boo3bo14boo3bo14boo3b o14bobo7boo3bo14boo3bo$16bo9bobbo16bobbo16bobbo16bobbo16bobbo26bobbo
16bobbo$26bobo17bobo17bobo17bobo17bobo27bobo17bobo$27bo19bo19bo19bo19b
o29bo19bo$$bbobboobobo4172bo173bo135bobo33b3o135boo130bo5bo29bo 128boo37boo5bo129boo35boo6bobo133boo39boo132boo134bo30bo87bobo 75boo44bo43boo3bo56boo12bobo3boo6bo7bo27bobo43bobboo58bo19bo17boo4b obo5boo29boobbo44boo54bobo17bobo3bo13bobo5boo6boo31bo126bo46b3o17bo 19bo19boo18boo18bobo17bobo4b3o3boo5bobo5bo35b3o21bobo17bobo17bobo17bo bo17bo19bo12boo5bo5boo36bo21boo18boo18boo18boo18boo18boo8bo4bo4boo4b obo9boo11boo11bo6boo18boo18boo18boo18boo18boo18boo3boo13boo16bobo6boo 3bo14boo3bo14boo3bo14boo3bo14boo3bo14boo3bo14boo3bo14boo3bo3bobo8boo3b o16bo9bobbo16bobbo16bobbo16bobbo16bobbo16bobbo16bobbo16bobbo16bobbo 26bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo27bo19bo19bo19b o19bo19bo19bo19bo3boo14bo172boobbo168bo4boobboo171boobobo173bo! The 5 syntheses that could not be improved: x = 86, y = 14, rule = B3/S23 80boo39boo17boobo17bobbo38bobo17boboo16bobboo37bo18boo19bo36bo19bo 19booo18boo14boboboo16boboo14bobobooobo17bobo14boobobo14boobobo14boo bobo$$bbobo17bobobboo13bobo17bobo17bobo$5boboo16bobbo16bo19bo19bo$4boo
bo16boobo16boo18boo18boo$7bo18bo$4b3o16bobo$4bo18boo! mniemiec Posts: 898 Joined: June 1st, 2013, 12:00 am Re: Soup search results BlinkerSpawn wrote:"22-bit p4 oscillator #2" in 14 gliders: x = 34, y = 26, rule = B3/S23 15bo$16bo$14b3o$22bo$21bo$21b3o7bo$30bo$16bo13b3o$15bo$15b3o$bo8bo17bo$2bo8b2o14bo$3o7b2o15b3o$4b3o15b2o7b3o$6bo14b2o8bo$5bo17bo8bo$16b3o$
18bo$b3o13bo$3bo$2bo7b3o$12bo$11bo$17b3o$17bo$18bo!

10 gliders:
x = 24, y = 24, rule = B3/S23
11bo$12bo$10b3o$16bo$15bo$15b3o2$10bo$9bo$9b3o$6bo14bobo$bo5b2o7b2o3b
2o$b2o3b2o7b2o5bo$obo14bo$12b3o$14bo$13bo2$6b3o$8bo$7bo$11b3o$11bo$12b o! mniemiec wrote:The 5 improved pseudo-oscillator syntheses: x = 227, y = 167, rule = B3/S23 199bo$198bo$154bobo41b3o$155boo$155bo5bo43bo$162boo33bo5boo$161boo32bo bo6boo$157boo37boo$158boo$157bo48bo$122bobo80boo$118bo3boo56boo18boo3b
obo$46bobo70boobbo56bo19bo20boo$47boo69boo61bobo13bo3bobo17bobo$47bo 36bo113bo$85bo19bo19bo18boo18boo17bobo5boo3b3o4bobo17bobo$29boo18boo 32b3o18bobo17bobo17bobo17bobo19bo5boo12bo19bo$29boo18boo54boo18boo18b
oo18boo18boo4bo4bo8boo18boo$196boo$25boo18boo18boo18boo18boo18boo18boo
18boo18boo8bobo7boo18boo$26bo19bo19bo19bo19bo19bo19bo19bo19bo19bo19bo$
23bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo$4bo 17bo19bo19bo19bo19bo19bo19bo19bo19bo19bo19bo$5bobbobo11boo18boo18boo
18boo18boo18boo18boo18boo18boo18boo18boo$3b3obboo7boo$9bo6boo$18bo$4b
oo$3boo$5bo12$179bo$148bobo29bo$148boo28b3o$143bo5bo$3bo137boo$bobo
138boo33bo12bo$bboo142boo27bobobbobo5boo$12bobo130boo29boobboo7boo$12b oo88bobo42bo33bo12bo$13bo88boo89boo$103bo59boo18boo8bobo$31boo18boo18b
oo18boo18boo18boo18boo11bo6boo11bo16boo9boo$31bobo17bobo17bobo17bobo 10boo5bobo17bobo17bobo7bobo7bobo7bobo17bobo7bobo$60bo42boo$33bobo17bob obboo13bobo3bo13bobo3bo5bo7bobo3boo12bobo3boo12bobo3bobo11bobo3bobo7b 3o11bobo3bobo$36bo19bobboo15bobobo15bobobo15bobobo15bobobo15bobo17bobo
5boo3bo16bobo$35boo18boo18booboo15booboo15booboo15booboo15booboo15boob oo3bobo4bo14booboo$3o182bo$bbo$bo13b3o$11boobbo$12boobbo$11bo$24boo$24bobo$24bo9$3bo$bobo$bboo$12bobo$12boo$13bo$63bo$31boo18boo11bo6boo
18boo18boo18boo18boo18boo28boo$31bobo17bobo8b3o6bobo17bobo17bobo17bobo 17bobo17bobo27bobo$$33bobo17bobo5b3o9bobo17bobo17bobo17bobo17bobo17bob o9bo17bobo36bo19bo4bo14boboo16boboo16boboo16boboo16boboo16boboo3bobo 4bo15boboo35boo18boo5bo12boobobo14boobobo14boobobo14boobobo14boobo16b oobo5boo3bo15boobo3o76bo19bo5bo13boo18boo18bobo17bobo7b3o17bobobbo 56bo43boobo13b3o41boo43boo55bobo17bobo27bobo11boobbo42bobo103bo19bo 27boo12boobbo86bo59boo18boo8bobo11bo90boo89boo24boo76bobo42bo33bo 12bo24bobo118boo29boobboo7boo24bo121boo27bobobbobo5boo142boo33bo12b o141boo143bo5bo148boo28b3o148bobo29bo179bo8129bo128bo74bobo51b 3o75boo75bo5bo53bo82boo43bo5boo81boo42bobo6boo77boo47boo78boo 77bo58bo135boo38bo10boo49boo28boo3bobo6bo7bo24bo7bobobo48bo29bo20b oo4bobo5boo23b3o5bobobo51bobo23bo3bobo17bobo5boo6boo31boo80bo41boo 21boo18boo17bobo15boo3b3o4bobo17bobo5bo36boo20bobo17bobo19bo15boo12bo 19bo5boo34bo23boo18boo18boo14bo4bo8boo18boo4bobo9boo11boo18boo18boo 18boo18boo15boo11boo18boo16bobo6boo3bo14boo3bo14boo3bo14boo3bo14boo3b o14bobo7boo3bo14boo3bo16bo9bobbo16bobbo16bobbo16bobbo16bobbo26bobbo 16bobbo26bobo17bobo17bobo17bobo17bobo27bobo17bobo27bo19bo19bo19bo19b o29bo19bo$$bbo$bboo$bobo4$172bo$173bo$135bobo33b3o$135boo$130bo5bo29bo
$128boo37boo5bo$129boo35boo6bobo$133boo39boo$132boo$134bo30bo$87bobo
75boo$44bo43boo3bo56boo12bobo3boo$6bo7bo27bobo43bobboo58bo19bo17boo$4b obo5boo29boobbo44boo54bobo17bobo3bo13bobo$5boo6boo31bo126bo$46b3o17bo 19bo19boo18boo18bobo17bobo4b3o3boo5bobo$5bo35b3o21bobo17bobo17bobo17bo
bo17bo19bo12boo5bo$5boo36bo21boo18boo18boo18boo18boo18boo8bo4bo4boo$4b
obo9boo11boo11bo6boo18boo18boo18boo18boo18boo18boo3boo13boo$16bobo6boo 3bo14boo3bo14boo3bo14boo3bo14boo3bo14boo3bo14boo3bo14boo3bo3bobo8boo3b o$16bo9bobbo16bobbo16bobbo16bobbo16bobbo16bobbo16bobbo16bobbo16bobbo$26bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo$27bo19bo19bo19b
o19bo19bo19bo19bo3boo14bo$172boo$bbo168bo4boo$bboo171boo$bobo173bo!

Reduced the fourth by 1 (trivially):
x = 84, y = 13, rule = B3/S23
75bobo$bo10b2o57bo3b2o$2bo7bobobo57b2o2bo$3o5bobobo58b2o$9b2o$4b2o50bo bo19bo$5b2o50b2o18bobo$4bo52bo20b2o$12b2o48b2o18b2o$8b2o3bo44b2o3bo14b 2o3bo$9bo2bo46bo2bo16bo2bo$9bobo47bobo17bobo$10bo49bo19bo!
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: 408
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

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