83bismuth38 wrote: ↑August 3rd, 2021, 12:33 pm
(discussion about 22-bit P3s)
I decided to give them another look. Based on the number of them at lower sizes, I estimate that there will probably be around 900 of them. There is an incomplete list
http://pentadecathlon.com/objects/objec ... .1&level=0 of 92 of them (actually 90, as one is a 20-bit oscillator, and the two truly exotic ones are really the same oscillator in two different phases).
Most of these can be easily synthesized by combining known converters, including one that is known but that apparently Catagolue is unaware of (since it uses a more expensive path, turning the block into a long boat first):
Code: Select all
x = 53, y = 16, rule = B3/S23
22bobo$22boo$23bo$$bbo6boo8bobo7boo18boo$3bo5bo10boo7bo19bo$b3obboobo
10bo5boobo16boobo$6booboboo13booboboo13bobboboo$bo7bobbo16bobbo16bobbo
$boo6bobo17bobo17bobo$obo5booboo6b3o5boboboo14boboboo$21bo5boo18boo$
20bo$6bo$5boo$5bobo!
I've created a new synthesis for one of them (a mango jam variant) from 42 gliders:
Code: Select all
x = 296, y = 35, rule = B3/S23
129bo$127bobo36bo$128boo35bo$161bo3b3o$162boo7bo$78bo82boo6boo94bobo
25bo$76bobo14bo76boo42bo50boo26bobo$71bobo3boo15bo8bobo75bo30bobo35bo
6bo8bo26boo$72boo18b3o8boo76bobo29boo36bo5bobo$72bo23bo7bo32bobo41boo
36bo29b3o5boo33bo$96bobo38boo78boo73bo$11bo84boo40bo35bo43boo42bo29bo$
10bo159boobobo45boo31bo5boo$10b3o60b3o59b3o32booboo38boo6bobo29bobo5b
oo$bbo72bo59bo76bobo6bo30bobo$obo43boo26bo11boo39boo7bo30boo15boo21boo
3bo34boo3bo34boo$boo42bobbo9bobo24bobbo3bo32bobbo36bobbo15bobo18bobbo
bboo32bobbobboo5boo25bobbobboo$45boobo9boo25boobo3bo32booboboobo31boob
oboobo10bo20boobobo34boobobo6boo5bo20boobobobo$47bo11bo27bo4bo34bobbob
oo33bobboboo33bobbo36bobbo8bo3boo22bobbo$47bobo37bobo37bobo37bobo37bob
o37bobo13bobo21bobobbo$48boo6boo30boo38bo39bo12bo26bo39bo39bo3bo$7bobo
45boo123boo69boo4b3o32bo$3boobboo48bo49boo65boo4bobo67bobo4bo31bo$3bob
obbo97boo65bobo76bo5bo31boo$3bo104bo66bo$103boo142boo$102boo65b3o76boo
$104bo66bo75bo$98boo70bo$10boo86bobo149boo$10bobo85bo151bobo$10bo239bo
$246boo$245bobo$247bo!
The 30 unsolved ones from the list include 6 variants of a fragment being hassled by a caterer, 6 of the same fragment being hassled by jam, 7 trice tongs variants, 5 stillator variants, 2 cuphook variants, 2 candelabra/key hybrids, plus another fragment hassled by a caterer, and one totally unique oscillator.
Code: Select all
x = 149, y = 147, rule = B3/S23
ooboo10booboo10booboo10booboo10booboo10booboo10booboo10booboo10booboo
10booboo$boboo11bobo3boo7bobo3boo7bobo3boo7bobo3boo7bobo3boo7bobo3boo
7bobo3boo7bobo3boo7bobo3boo$o15bo6bo7bo6bo7bo6bo7bo6bo7bo6bo7bo6bo7bo
6bo7bo6bo7bo6bo$7o10b6o9b6o9b6o9b6o9b6o9b6o9b6o9b6o9b6o$7bo$bbo3bobo8b
4o11boobo13b4o11boo13boo13boo13boo13boo13boboo$bboo3bo9bobbo11boboo13b
obbo9bobbo12bobo12bobbo12bobo12bobbo11boobo$62boo14boo14boo14boo14boo
8$ooboo10boobboo9boobboo9boo3boo8boo3boo8boo3boo8boo3boo8boo3boo8boo3b
oo8boo3boo$bobo11bo4bo10bo3bo9bobobobo8bobobobo8bobobobbo7bobo3bo8bobo
3bo8bobo3bo8bobo3bo$bobb3o9b4o10bo4boboo8bobo12bobo12boboobbo7bo14bo
14bo14bo$bboo3bo23b3obobbo7bobbo12bobo11bo4boo9b7o8b7o8b7o8b7o$3bobobo
8b4o13bobo10boobobbo8boobobbo8bobobo17bo14bo14bo14bo$3bo11bo3bo15bo13b
oboo11boboo9bobbo11b4o11boobo13boo13boo$4boobbo7bo18bobo11bo14bo13boo
12bobbo11boboo11bobbo12bobo$7boo7bo19boo10boo13boo57boo14boo$17bo$16bo
bo$17bo5$oo3boo8boo3boo8boo3boo8boo3boo8boo4boo7boo4boo7boo4boo7boo5b
oo6boo6bo7boo6bo$obo3bo8bobo3bo8bobo3bo9bobbobo8bobboobbo7bobboobbo8bo
3bobo7bo8bo5bo5bo3b4obbo6boo$bo14bo14bo13bo3bo11boo13boo12bo4bo10b3obb
o9b3obbo3bo6bobo$bb7o8b7o8b7o6bobobo12bobobo10bobobo9b3obo11boobbo3bo
6boobbo14b3obbo$8bo14bo14bo7boobobbo9bo3bo10bo3bo11bobobbo7boo3bo3b4o
bboo6bo7b3o3bobobo$4boo13boo13boo13boboo10b3o12b3o14boboo14bo13boo15bo
bbo$3bobbo12bobo12bobbo11bo11bobo16bobo12bo49boo$4boo14boo14boo10boo
11boo18boo11boo8$oo7boo4boo13boo13boo13boo13boo13boo13boo13boo13boo$o
7bobbo3bobobo10bobobo10bobobo10bobobo10bobobo10bobo12bobboo10bobboo10b
obboo$bobo3bobobo5b3o12b3o12b3o14bo14bo11bobo16bo14bo14bo$5b3obbo6boo
13boo13boo13bobo12bobo13bo12bobobobbo7bobobo10bobobo$b3o89boboo9bo3b4o
7bo3b3o8bo3boobo$7boo55bo14bo14bo12b3o12b3o3bo8b3obboo$8bo8b3o13b3o12b
3o13bo14bo18bo10bobo12bobbo12bo$21bo9bo20bo9boboo12boobo14boobo10boo
12bobo12bo$16bo4bo9bo4bo10bo4bo8boo3bo10bo3boo16bo25bo13boo$20bo11bo
18bo13bobo8bobo20bobo$17boo15boo12boo14bobbo8bobbo20bobo$17bo17bo12bo
16boo10boo22boo$17bo17bo12bo$17bo17bo12bo$$oo28boo13boo13boo13boo13boo
14b3o3bo8boob3o9booboo$obboo10boo13bobboo10bobboo10bobboo11bo14bo14boo
4bo8bo6bo6boboobo$5bo9bobboo15bo14bo14bo10boboo11boboo12bobboobo8boo4b
o6bo$bobobo14bo10bobobo10bobobo10bobobo11bobbo11bo3boo7bo18bobbo8b7o$b
o3boo9bobobo10bo3boo9bo3boboo7bo3boboo11bo17bo6boboobobbo6b3obbo17bo$
bb3obbo8bo3boo10b3obbo9b3obobo8b3obbo10bo15boobbo6bo4bobbo6bobboo13bo
3boo$4bobobo8b3obbo12bobo12bo16bo10bobbo14bo13bobo9bo15boo$5bobo12b3o
11bobo12bo14b3o12boobo13bobbo21boo$6bo12bo14boo13boo13bo17bo16bo$19boo
58b3o16bo$79bo19b3o$101bo4$booboo10booboo10boobo11boobboo9boobboo9boo
bbo10boobbo10boo3boo8boo3bo9boo5bo$oboboo10boobobo9boob3o9boobbobo9bo
bboo8bob4o10boobb3o8bobobobo8bobobobo9boobbo3b4o$o21bo14bo15bo6bo14bo
22bo9bobo12boboo9b3obbo3bo$b7o8b7o8b7o8b7o7b7o9b7o8b7o9bo3bo11bo11bo5b
o$8bo6bo14bo14bo21bo15bo6bo16bo3bo8bobbo11boo7bo$3bo3boo6boo3bo9boo3bo
9boo3bo11bo3bobo9bo3boo6boo3bo10bo5bo7booboboo15boo$3boo14boo13boo13b
oo11boo3bo10boo14boo9bobo3bobo9bobbo$106bo5bo10boo8$boo13boo13boo13boo
13boo13boo13boo13boo13boo13boo$obo12bobbo4b3o4bobbo6boo4boboboo9bobob
oo9boboboo9boboboo9boboboo9boboboo9bobobo$bo13bobobo10bobobo6bo6bobobo
10bobo12bobo12bobo12bobo12bobo13boo$bb3o11bobb3obobo5bobb3obobo7bobobo
10bobo12bobo12bobo12bobbo11bo3bo15bo$5bo20bo18bobboboo8bobboboo8bobbob
oo8bobbobobo7bobboboo8bobbobboo9b7o$4boo12boo5boo6boo3b3o4boobo11boobo
bo9boobobbo8boobobboo7boobobo9boobobo10bo$18bo14bo14bo14bobo12bobo12bo
14bobo12bobo9bobo3bo$6boo40boo13boo13boo13boo13boo13boo11bo3boo$6bo$7b
3o$10bo$9bobo$9boo3$boo13boo13boo13boo13boo13boo13boo13boo13boo13boo$b
obobboo8bobobboo8bobo3boo7bobo3bo8bobo12bobo12bobo12bobo12bobo12bobo$
3bo3bo10bo3bo10bobbobo9bobbobo9bobboo10bobboo10bobbo11bobbo11bo3boo9bo
$3bobo12bobo12bobobo10bobobbo9bobobo10bobobbo9bobobo10bobobo10bobobbo
9boboobo$obboboo8bobboboo8bobboboo8bobbobobo7bobbobo9bobbobobbo6bobbob
oo8bobbobobbo6bobboboo8bobboboboo$oobobo9boobobbo8boobo11boobobbo8boob
oboo8boobobboo7boobo11boobobbobo6boobobo9boobobo$3bobo12bobo12bo14bo
14bobbo11bo14boboo11bo3bo10bobo12bobo$3boo13boo13boo13boo13boo13boo13b
oobo11boo13boo13boo8$boo13bobbo11bobbo11bo3boo9bo3bo10bo6bo7bo16boobo
10boo13boo$bobboo10b4o11b4o10bobo3bo9bob3o9bob3obbobo5bobo5bo10bob3o7b
obbo12bobo$bbobobo13boo24bo13bobboo11bobbobbobobbo3boboobbobo7bo6bo6bo
bo3boo$boo4bo8boobobbo8b4o12b7o7bobo15bobbobobobo5bobbobobbo3boboob3o
6boobo4bo10boo$o3boobo7bobo3bo8bo4boboo14bo8boo20bobbo6bobbobobobobbo
4bo12b4o12bo$boo3bo8bo3boo9boo3bobo11boo12bobbo16boo14bobbo4b3o32bo$3b
3o10b3o15bobbo12bo12boobbo30boo9boo11b4o15boo$3bo14bo16boo10b3o11bo4bo
55bobbo11b3o$47bo14bo72bo$62bo72bo4bo$136bo$138boo$139bo$139bo$139bo$
bboo14bo12boo13boo6bo5booboo16boo12boo13boo$3b3o11bobo10bobbo6bo4bobbo
4bobo4boobo4bo14bo11bo14bo$bo4bo9bobobo9bobobo4bobo3bobobo3bobbo6bo3bo
bo10bo15b3o12b3o$oboobobo8bobobo10bobb3o9bobb3o11boboobobbo8bo6bo11bo
14bo$obbo3bo7boo4boo15bobbo12bobo7bo6bo8bobbobooboboo6bo14bo$bo3boo10b
obobo11boo3bobo7boo5bo15bo10bobo3boboo6bobbo11bobbo$bb3o12bobobo11bo5b
o8bo19bo14bo4bo12bobbo11bobbo$4bo13bobo48boo16boo11boboobo9boboobo$19b
o84bobo12bo$103bobbo11bo$104boo13b3o$121bo!
EDIT: Trice tongs siamese bun siamese eater in 61, trice tongs w/hook and long tail in 44:
Code: Select all
x = 294, y = 76, rule = B3/S23
168bo$39bobo34bobo87boo$4bo35boo35boo41bo7bo38boo33bo$bbobo35bo36bo43b
o5bo35boo38bo$3boo32bo6bo74b3o5b3o34boo35b3o$38bo6boo28boo86bo$10bo25b
3o5boo5boo21bobo9bo4boo33bo4boo34boobboo26boo6boobboo34boobboo34boobb
oo$11bo28bo8bobbo23bo8bobobobbo32bobobobbo34bobobbo25bobo5bobbobbo33bo
bbobbo33bobbobbo$9b3o28boo7b3o34boob3o33bobob3o33bobob3o28bo4bobob3o
33bobob3o33bobob3o$13bo18b3o4bobo36bo9bo37bobo36boobo36boobo37bobo37bo
bo$13boo19bo14b3o26boo8boboo36boboo36boboo36boboo36boboo36boboo$12bobo
18bo14bobbo25bobo9bobo36boobo36boobo36boobo36boobo35booboo$48boo$$bb3o
39boo203b3o$4bo7boo29bobo205bo30bo3boo$3bo8bobo30bo33b3o168bo32boboo$
12bo68bo7boo161bo28b3o3bo$80bo8bobo159boo$89bo161bobo5$169bo41bo$170bo
40bobo34bo$168b3o3bo36boo34bo$164bo7boo30bo42b3o$165boo6boo21bo5bobo$
76bobo10bo74boo31boo4boo$77boo8bobo35bo70boo44bobo$60bo16bo10boo3bo32b
o116boo$59bo32bo31b3o116bo4bobo$59b3o13boo15b3o26bo31b4o91boo$74bobo
44boo29bo3bo48boo36boo4bo$76bo43bobo33bo8bo39bo37bobo$7boobboo34boobb
oo34boo37bo25bobbo8bobo31bobo5bo39bo40boo$6bobbobbo33bobbobbo25bo7bobb
o35bobobo34bobbobo29boo6bobo37bobo37bobo$5bobob3o33bobob3o26boo5bobob
3o33bobob3o33bobob3o27bo5bobob3o33bobob3o33bobob3o$6bobo37bobo8boo18bo
bo6bobo3bo33bobo3bo33bobo3bo32boobo3bo32boobo3bo32boobo3bo$8boboo36bob
oo4boo30bobobo25boo8bobobo35bobobo25boo8bobobo35bobobo35bobobo$7booboo
3bo27bo3boobo7bo29bo30boobbo4bo29boo8bo30boo7bo39bo39bo$15bobo23bobo9b
o35boobbo24bo3boo5boobbo23bobo9boobbo24bo10boobbo35boobbo35boobbo$15b
oo25boo8boo38boo28bobo7boo25bo12boo38boo38boo38boo$oo4boo159bo$boobbo
bbo157boo$o4bobbobb3o34boo116bobo$6boo3bo36bobo104b3o$12bo35bo108bo$
156bo$10boo$11boo$10bo$14b3o$14bo225bo$15bo225bo10bo$239b3o11bo$251b3o
3bo$247bo7boo$248boo6boo$247boo3$236boo$234booboo$234b4o50boo$207boo
26boo10boo39bo$206bobbo36bobbo39bo$205bobob3o33bobob3o33bobob3o$200bo
5bobo3bo32boobo3bo32boobo3bo$201boo5bobobo35bobobo35bobobo$200boo6bo
39bo39bo$209boobbo35boobbo35boobbo$202bo9boo38boo38boo$202boo$201bobo!