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

$9boo$8bo6$10bo$8bobo$9boo138bo$88bobo57bo$33bo55boo57b3o$13bobo17bobo

53bo5bo$14boo17boo61boo$14bo80boo41bo12bo$91boo46boo5bobobbobo$92boo

44boo7boobboo$91bo42bo12bo$56bobo75boo$23bo28bo3boo56boo17bobo8boo$24b

o28boobbo56bo29bo20boo$22b3o27boo61bobo27bobo17bobo$26bo$26bobo10bo19b

o18boo18boo17bobo17b3o7bobo17bobo$26boo10boboboo14boboboo14boboboo14bo

boboo16boboo15bo3boo5boboo16boboo$17bo21boobobo14boobobo14boobobo14boo

bobo14boobobo13bo4bobo3boobobo14boobobo$18boo21bobbo16bobbo16bobbo16bo

bbo16bobbo18bo7bobbo16bobbo$17boo22bobo17bobo17bobo17bobo17bobo27bobo

17bobo$42bo19bo19bo19bo19bo29bo19bo10$19bo$19boo$18bobo3$7boo16bo$8boo

14boo$7bo16bobo13$9bo$10bo178bo$8b3o117bobo57bo$19bo109boo57b3o$18bo

110bo5bo$18b3o115boo$135boo41bo12bo$131boo46boo5bobobbobo$10bobo119boo

44boo7boobboo$11boo118bo42bo12bo$11bo10bo73bobo75boo$21bo70bo3boo56boo

17bobo8boo$21b3o69boobbo56bo29bo20boo$92boo61bobo27bobo17bobo$24boo$

24bobo12bobboo15bobboo15bobboo15bobboo14boobboo14boobboo13bobobboo13b

3o7bobobboo13bobobboo$24bo13bobobbo14bobobbo14bobobbo14bobobbo14bobobb

o14bobobbo16bobbo15bo3boo5bobbo16bobbo$8bo30boobo16boobo16boobo16boobo

16boobo16boobo16boobo15bo4bobo3boobo16boobo$8boo4b3o24bo19bo19bo19bo

19bo19bo19bo21bo7bo19bo$7bobo6bo15bo8bobo17bobo17bobo17bobo17bobo17bob

o17bobo27bobo17bobo$15bo15bo10boo18boo18boo18boo18boo18boo18boo28boo

18boo$31b3o$42boo18boo$42boo18boo$17bo4b3o$17boo5bo39b3o$16bobo4bo40bo

$65bo8$11bo$12boo$11boo$37bo$36bo$36b3o154bo$192bo$138bobo51b3o$139boo

$139bo5bo53bo$16bo129boo43bo5boo$14bobo27bo100boo42bobo6boo$15boo22bob

obbobo94boo47boo$39boo3boo96boo$40bo100bo58bo$106bobo90boo$102bo3boo

56boo28boo3bobo$78bo24boobbo56bo29bo20boo$78bobo21boo61bobo23bo3bobo

17bobo$78boo112bo$49bo19bo19bo19bo18boo18boo17bobo15boo3b3o4bobo17bobo

$8bo3bo35bobo5boo10bobo5boo10bobo17bobo17bobo17bobo19bo15boo12bo19bo$

9boobobo34boo5boo11boo5boo11boo18boo18boo18boo18boo14bo4bo8boo18boo$8b

oobboo37boo18boo18boo18boo18boo18boo18boo17boo9boo18boo$51bo19bo19bo

19bo19bo19bo19bo17bobo9bo19bo$52bobo17bobo17bobo17bobo17bobo17bobo17bo

bo27bobo17bobo$$54bobo17bobo17bobo17bobo17bobo17bobo17bobo27bobo17bobo

$55boo18boo18boo18boo18boo18boo18boo28boo18boo13$3boo30bo$4boo28boo$3b

o30bobo3$6b3o$8bo$7bo7$3boo28boo18boo28boo18boo28boo28boo38boo$3bo29bo

19bo29bo19bo29bo29bo39bo$5boo28boo18boo28boo18boo28boo28boo38boo$$6bob

o27bobo17bobo27bobo17bobo27bobo27bobo37bobo$$8bobo27bobo17bobo27bobo

17bobo27bobo27bobo37bobo$$10bobo27bobo17bobo27bobo17bobo27bobo27bobo

37bobo$12bo8bo20bo19bo29bo19bo29bo29bo39bo$14bo4boo23bo19bo29bo19bo29b

o29bo39bo$13boo5boo21boo18boo28boo18boo28boo28boo7bo30boo$45boo18boo

28boo18boo28boo28boo3bobo4bo27boo$5bobbo9bo26bobo17bobo27bobo17bobo27b

o29bo5boo3bo28bo$9bobbo4boo27bo19bo29boo18boo28bobo27bobo7b3o27bobo$5b

o3bobboo3bobo$6b4obobo58boo74bobo27bobo37bobo$68bobboo78bo29bo37boo$

15boo51boo3bo76boo28boo8bobo$15bobo49bobo120boo$15bo108bo53bo12bo$122b

oo49boobboo7boo$123boo47bobobbobo5boo$119boo53bo12bo$118boo$120bo5bo$

125boo48b3o$125bobo49bo$176bo!

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

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$$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!

The 5 syntheses that could not be improved:

`x = 86, y = 14, rule = B3/S23`

80boo$39boo17boobo17bobbo$38bobo17boboo16bobboo$37bo18boo19bo$36bo19bo

19bo$oo18boo14boboboo16boboo14boboboo$obo17bobo14boobobo14boobobo14boo

bobo$$bbobo17bobobboo13bobo17bobo17bobo$5boboo16bobbo16bo19bo19bo$4boo

bo16boobo16boo18boo18boo$7bo18bo$4b3o16bobo$4bo18boo!