I was just informed about Goldtiger997's synthesis of 32P8H4V0. Very nice work!
There are a few places where minor improvements can be made:
The 3-glider add-a-block step can be replaced by combining a 2-glider form-simultaneous-block with an earlier step, saving 1.
The 2-glider eater-to-boat step can be done with 1 glider, saving 1.
The 6-glider add-bookend step can be done with 5 gliders, saving 1.
The 3-glider bookend-to-bun step can be done with 2 gliders, saving 1.
One stage with LWSS can flip the LWSS and move one glider to eliminate a spurious block, saving 1 cleanup glider.
The 3-glider boat-to-table and 3-glider table-to-long-bookend can be replaced by 2-glider boat-to-cap and 2-glider cap-to-long-bookend, saving 2.
These reduce the cost from 189 to 182:
Code: Select all
x = 159, y = 93, rule = B3/S23
15bobo$15boo105bo$16bo103bobo$obo118boo$boo$bo130bobo$132boo$19bo113bo
$18bo$18b3o34bo29bo29bo29bo$15boo20boo16b3o27b3o27b3o16bo10b3o$14bobo
20boo19bo10boo17bo29bo14bo14bo$13bobo41bo10boo17bo29bo15b3o11bo9boo$
12bobo22boo18boo7bo3bo16boo28boo4boo22boo4boobobo$12bo23bobbo15boobbo
4b3o18boobbo4bo20boobbo4bo11boo7boobbo4bobo$11boo23bobo15bobobo4bo20bo
bobo4bobo18bobobo4bo12bobo5bobobo4bobboo$35booboo14boboboo3boo19bobob
oo3boo19boboboo3boo11bo7boboboo3boo$9b4o22bo19bo5boo22bo5boo22bo5boo
22bo5boo$9bobbo23b6o14b5obboo21b5obboo21b5obboo21b5obboo$38bobbo16bobb
obbo23bobbobbo23bobbobbo23bobbobbo$61boo28boo28bobo8b3o16bobo$18bo103b
o9bo19bo$17boo114bo$17bobo$$11boo$10boo$12bo8$56bo$57boo$56boo$75bo$
70bobobbobo$70boo3boo$71bo$54bobo$55boo27bobbo$55bo27bo$83bo3bo$78bo4b
4o$70bo6bo$69bobo5b3o$5bo29bo19bo13boo24bo$5b3o27b3o17b3o37b3o4boo$8bo
29bo19bo7boo30bo3bo$7bo29bo19bo8bobo28bo6bo$7boo4booboo19boo4booboo9b
oo4boobobbo27boo4boo$5boobbo4bobo18boobbo4bobobo6boobbo4bobo3bo24boobb
o4boboo$4bobobo4bobbobo4bo10bobobo4bobbobo5bobobo4bobbobobo23bobobo4bo
bboo$4boboboo3boobboo4bobo8boboboo3boobbo6boboboo3boobbobo24boboboo3b
oo$5bo5boo10boo10bo5boo12bo5boo5bo26bo5boo$6b5obboo21b5obboo11b5obboo
31b5obboo$8bobbobbo5b3o15bobbobbo13bobbobbo33bobbobbo$11bobo6bo20bobo
17bobo37bobo$12bo8bo20bo19bo14b3o22bo$66boo9bo$65bobo10bo$67bo$69b3o$
69bo11boo$70bo10bobo$81bo7$18bo$19bo$17b3o$$20bobo$12boo6boo20boo28boo
28boo$7boo3bo8bo15boo3bo24boo3bo24boo3bo$8bo4bo24bo4bo24bo4bo8bo15bo4b
o3boo$7bo6bo22bo6boboo19bo6boboobboo15bo6bobobo$7boo4boobbo19boo4boobo
bo18boo4boobobobboo14boo4boobo$5boobbo4bobobo16boobbo4bobobo16boobbo4b
obobo16boobbo4bobo$4bobobo4bobboo16bobobo4bobboo16bobobo4bobboo4bo11bo
bobo4bobboo$4boboboo3boo19boboboo3boo19boboboo3boo6boo11boboboo3boo$5b
o5boo22bo5boo22bo5boo8bobo11bo5boo$6b5obboo21b5obboo21b5obboo21b5obboo
$8bobbobbo23bobbobbo23bobbobbo23bobbobbo$11bobo27bobo27bobo27bobo$12bo
29bo29bo29bo!
googoIpIex wrote: ↑May 22nd, 2020, 2:43 pm
is this reduction to the escorted OWSS synthesis known? I used the 3 glider collisions program to reduce the synthesis by one glider: ...
Yes. I have this same 12-glider synthesis from 2002-12-03. Here are the two other 12-glider syntheses for the flotillae with one or both LWSS moved down two, also from the same date.
Code: Select all
x = 138, y = 52, rule = B3/S23
91bo$92boo$91boo$30boo$29bobbo74bobo$30boo31bo34bobo6boo$obo58bobo29b
oo4boo7bo$boo27bo31boo29boo4bo23b3o3b3o$bo28boo4bo22boo61bobbo3bobbo$
29bobo3bobo20bobo8boo5boo21boo5boo17bo3bo5b3o$bb3o30bobo22bo8bobo4boo
10b3o8bobo4boo17bo3bo4bobbo$4bo31bo33bo19bo4b3obbo21bobo4bo7bo$3bo85bo
7bo12boo17bo7bo$96bo13bobo16bo3boobo$101b3o6bo19bobo$101bo$102bo13$90b
o$91boo$30boo58boo16bobo$29bobbo64bobo8boo$30boo66boo9bo$obo95bo$boo
27bo32bo$bo28boo4bo24bobo29boo$29bobo3bobo24boo5boo5boo15boo4boo5boo
21b3o$bb3o30bobo21boo8bobo4boo21bobo4boo21bobbo$4bo31bo21bobo9bo29bo
22b3o3bo5b3o$3bo56bo34boo25bobbo3bo4bobbo$87b3o4bobo14boo12bo3bo7bo$
89bo6bo14bobo11bo3bo7bo$88bo13b3o6bo10bobo4bo3boobo$97bo4bo27bobo$96b
oo5bo$96bobo3$101bo$100boo$100bobo!