LeapLife Glider Synthes^2

[mniemiec]

[catagolue][/catagolue]

... (p7 final step) ... (6 syntheses)

I can't quite figure out how to get those 3 still-lifes and the pseudo-B-heptomino there all together at the same time, but I'm pretty sure that a way can be found to do it.
Those P9 syntheses trivially give an 8-glider synthesis for the remaining skewed cis version as well:

Code: Select all

x = 67, y = 22, rule = B2n3/S23-q
52bo$42bobo7bobo$42boo8boo7boo$43bo17bobo$7bo54bo$5boo$bo4boo15bo19bo
21bo$bboo18bobo17bobo19boo$boo19bobo17bobo20bo$23bo19bo3$24bo19bo$5boo
16bobo17bobo20bo$4boo17bobo17bobo19boo$oo4bo17bo19bo21bo$boo$o62bo$44b
o17bobo$43boo8boo7boo$43bobo7bobo$53bo!

[FWCamelship]

Code: Select all

#C The R insertion can most likely be reduced. I'm just practising Martin Grant predecessor method
x = 27, y = 27, rule = B2n3/S23-q
10bo2bo$8bobo2bobo$9b2o2b2o2$2b2o$bo2bo10bo$2b2o10bobo$9bo4bobo$8bobo
4bo$bo6bobo$b2o6bo9b2o$obo15bo2bo3bo$19b2o3bo$24b3o3$17b2o5b3o$16bo2bo
4bo$17b2o6bo4$21bo$20bobo$15b2o3bobo$16b2o3bo$15bo!

Code: Select all

x = 13, y = 13, rule = B2n3/S23-q
4b2o$4b2o3$6bo$b2o2bobo$obo3bobo$2bo4bo3b2o$11b2o2$5b3o$7bo$6bo!

EDIT:
Predecessor:

Code: Select all

x = 11, y = 11, rule = B2n3/S23-qHistory
.A$.A$.A$2A2$3.A$2.A.A$3.A.A$4.A$7.4A$7.A!

Not quite:

Code: Select all

x = 22, y = 22, rule = B2n3/S23-qHistory
8.A2$4.A.A$7.A$7.A$4.A2.A$5.3A3$2.2A$2.A6.A$A.A5.A.A$2A7.A.A$10.A10.A
$15.4A$15.A3.A$15.A$16.A2.A$12.A$10.3A$9.A$9.2A!
#C [[ STOP 4 ]]

EDIT:
Yes! (EDIT: Still not quite - no way to get that spark in.)

Code: Select all

x = 27, y = 27, rule = B2n3/S23-qHistory
13.A2$10.2A$9.3A$9.2A.A$10.3A$11.A3$7.2A$7.A6.A$5.A.A5.A.A$.2A2.2A7.A
.A$A.A12.A10.A$2.A18.2A$20.2A.2A$21.4A$22.2A$17.A$15.3A$14.A$14.2A3$12.
3A$14.A$13.A!

EDIT:

Code: Select all

x = 28, y = 28, rule = B2n3/S23-qHistory
9.3A3$10.2A$9.3A$9.2A.A$10.3A$11.A3$7.2A$7.A6.A$5.A.A5.A.A$.2A2.2A7.A
.A$A.A12.A$2.A18.2A$20.2A.2A2.A$21.4A2.A$22.2A3.A$17.A$15.3A$14.A$14.
2A3$12.3A$14.A$13.A!

EDIT: Invalid 4G synthesis:

Code: Select all

x = 14, y = 14, rule = B2n3/S23-qHistory
.A$2.A$3A2.A$6.2A$5.2A2$10.A$9.2A$9.A.A3$11.2A$11.A.A$11.A!

[FWKnightship]

Code: Select all

x = 88, y = 101, rule = B2n3/S23-q
57b2o$57bo$obo57bo$b2o55bo$bo56b3o17$11bobo$12b2o$12bo72bo$85bobo$85b
2o19$48b2o$48b2o29$61b3o$61bo$6bo55bo$6b2obo$8b3o$8b2o11$14bo$14b2o$
13bobo6$81b3o$81bo$82bo!

[wwei47]

Yes! (EDIT: Still not quite - no way to get that spark in.)

Code: Select all

x = 37, y = 41, rule = B2n3/S23-qHistory
6.A.A4.A.A5.A.A$7.2A7.A4.2A$7.A8.A5.A$13.A2.A$14.3A7$16.D$16.D$16.D19.
A$15.2D17.2A$11.2A22.2A$11.A6.A$9.A.A5.A.A$9.2A7.A.A$19.A$22.4D6.4A$22.
D9.A3.A$32.A$.2A30.A2.A$A.A18.A$2.A16.3A$18.A$18.2A$35.2A$34.2A$36.A4$
11.3A$13.A$12.A!

[FWCamelship]

Yes! (EDIT: Still not quite - no way to get that spark in.)

Code: Select all

x = 37, y = 41, rule = B2n3/S23-qHistory
6.A.A4.A.A5.A.A$7.2A7.A4.2A$7.A8.A5.A$13.A2.A$14.3A7$16.D$16.D$16.D19.
A$15.2D17.2A$11.2A22.2A$11.A6.A$9.A.A5.A.A$9.2A7.A.A$19.A$22.4D6.4A$22.
D9.A3.A$32.A$.2A30.A2.A$A.A18.A$2.A16.3A$18.A$18.2A$35.2A$34.2A$36.A4$
11.3A$13.A$12.A!

-4G? by Martin Grant:

Code: Select all

x = 37, y = 37, rule = B2n3/S23-qHistory
6.A.A4.A.A5.A.A$7.2A7.A4.2A$7.A8.A5.A$13.A2.A$14.3A7$16.D$16.D$16.D19.
A$15.2D17.2A$10.3A22.2A$18.A$17.A.A$18.A.A$19.A$22.4D6.4A$22.D9.A3.A$
32.A$33.A2.A$21.A$21.A$21.A2$35.2A$34.2A$36.A!

[mniemiec]

17-bit P7 from 8 gliders, monogram from 10 (both inspired by soups):

Code: Select all

x = 75, y = 51, rule = B2n3/S23-q
11bo$bboo7bobo18boo$bbobo6boo19boo$3b3o34bo$4bobo4bo23boo4bo$5boo3boo
23bo5bo$10bobo26boo$$37bo$6boo26bobbo$boo3bobo26boo$bboobbo$bo8$9bo$7b
oo$8boo3$bbo30bo$obo28bobo$boo29boo$5boo29bo$4bobo28bobo$6bo29bo3$10b
3o25boo3boo23boo3boo$9bo3bo25bobobo25bobobo$9bo3bo25booboo25booboo$9bo
3bo25bobobo25bobobo$10b3o25boo3boo23boo3boo3$16bo29bo$16bobo26bobo$16b
oo28bo$20boo27boo$20bobo26bobo$20bo28bo3$13boo$14boo$13bo!

EDIT: 17p3 reduced to 16 gliders

Code: Select all

x = 167, y = 26, rule = B2n3/S23-q
75bo4bo4bo$73bobobbobobboo$74boo3boo3boo3$75bo35bobo$6bo66boo37boo$4b
oo68boo36bo$o4boo35bo39bo$boo38bobo37bobo30bo$oo39bobo4bobo30bobo29bob
o4boo3bo34boo3bo$42bo5boo32bo11bobo16boo5bobobobo33bobobobo$49bo44boo
26boboo36boboo$86boo7bo25bo39bo$47bo24boo11bobbo35boo38boo$46boo23bobo
12boo35bobbo36bobbo$46bobo24bo20b3o28boo38boo$94bo$95bo3$89bobobb3o29b
o$89boo3bo30bobo$80b3o7bo4bo29boo3boo$82bo46boo$81bo49bo!

[mniemiec]

Here are syntheses for the last 6 unsynthesized 11-bit still-lifes: the first from a soup, and the rest by brute force. These introduce a few new converters, which should make creating arbitrary-length snakes, canoes, shillelaghs, cis-shillelaghs, etc. trivial (although expensive).

Code: Select all

x = 162, y = 180, rule = B2n3/S23-q
129bo$130bo$128b3o$$132bo21boobo$131bo22boboo$131b3o24boo$120bo37bobo$
100bo17bobo38bo$98boo19boo$99boo22boo$122bobo$124bo10bo$87bo46bobo$88b
o44bobo$86b3o44boo$$90boo$89bobo$91bo23$108b3o$110bo$109bo10$98boo18b
oo18boo18boo$97bobo17bobo17bobo17bobo$66bo9bobo17bo19bo19bo19bo$64bobo
9boo17bo19bo7bo11bo19bo$65boo10bo16bo19bo7bo11bo19bo$75bo18boo4bobo11b
oo6b3o9boo3bo14bobo$74boo24boo16boo18bobo14boo$74bobo24bo16boo18bobo$
122b3o14bo$100boo20bo$100bobo20bo$100bo39boo$137boboo$135bobo3bo$136b
oo5$61bo$59boo17boo18boo18boo18boo18boo$56bo3boo15bobo17bobo17bobo17bo
bo17bobo$57bo18bo19bo7bo11bo19bo19bo$55b3o17bo19bo7bo11bo19bo19bo$75b
oo4bobo11boo6b3o9boo3bo14bobo17bobo$62b3o16boo16boo18bobo14bobo17bobo$
62bo19bo16boo18bobo15bobo17bo$63bo39b3o14bo17boo$81boo20bo$81bobo20bo
16bo19boo$81bo34boobboo14boo3bobo$117boobobo14boobbo$116bo19bo9$52bo$
50boo$51boo70bobo$123boo$124bo$63bo19bo$64bo19bo17bobo18boo$62b3o17b3o
18boo17bobbo$30bo72bo19bobo$31boo91bo$30boo29b3o17b3o21boo13bo19boo18b
oo$54boo5bo12boo5bo12boo3bo5bobo6boo3bobo12boo3bobo12boo3bobo$35bobo
17bo6bo12bobbo3bo12bobbobo4bo9bobbobo14bobbobo14bobbo$36boo17bobo17bob
obo15bobobo15bobobo15bobobo7bo7bobo$36bo19bobo17bobo17bobo17bobo17bobo
6boo9bo$57bo19bo19bo19bo19bo8boo$34boo105b3o$35boo104bo7bo$34bo100boo
5bo5boo$136boo10bobo$135bo10$22bo$20boo116bo$21boo113boo$72bobo32bo18b
o10boo4bo$72boo34bo3bo11bobo4boo8boo$33bo39bo32b3oboo13boo3bobbo8boo$
34bo76boo17bobbo$32b3o16bobo18boo57boo5bo$o51boo17bobbo61boo$boo49bo
19bobo62boo20boo$oo29b3o39bo86bo$24boo5bo12boo8boo8boo3bo14boo3boo13b
oo3boo13boo3boo9boo12boo3bo$5bobo17bo6bo12bobbo5bobo8bobbobo14bobbobo
14bobbobo14bobbobo9bobo12bobbo$6boo17bobo17bobobo4bo10bobobo15bobobo
15bobo17bobo6b3o3bo14bobo$6bo19bobo17bobo17bobo17bobo17bo19bo7bo21bo$
27bo19bo19bo19bo47bo$4boo85boo$5boo83boo37boo$4bo82boo3bo37boo$86bobo
40bo6boo$88bo47bobo$136bo12$60bo$61boo74bo$60boo75bobo$130bo6boo$131b
oo$19bo110boo$20boo62boo18boo18boo28boo$19boo23b3o37bobo17bobo17bobo9b
o17bobo$44bo15boo25bo19bo19bo7bo21bo$37b3o5bo13bobo5b3o18bo9bo9bo19bo
6b3o3bo16bo$18boo41bo27bobobooboo11bobo17bobo9bobo15bo$19boo21boo29boo
15booboobboo11boo18boo9boo17bo$18bo24boo28bobo85bo$42bo31bo63boo20boo$
137boo$132boo5bo$74boobboo32boo17bobbo$73bobobbobo26b3oboo13boo3bobbo
8boo$75bobbo30bo3bo11bobo4boo8boo$108bo18bo10boo4bo$137boo$139bo!

[LaundryPizza03]

Here are syntheses for the last 6 unsynthesized 11-bit still-lifes: the first from a soup, and the rest by brute force. These introduce a few new converters, which should make creating arbitrary-length snakes, canoes, shillelaghs, cis-shillelaghs, etc. trivial (although expensive).

Code: Select all

x = 162, y = 180, rule = B2n3/S23-q
129bo$130bo$128b3o$$132bo21boobo$131bo22boboo$131b3o24boo$120bo37bobo$
100bo17bobo38bo$98boo19boo$99boo22boo$122bobo$124bo10bo$87bo46bobo$88b
o44bobo$86b3o44boo$$90boo$89bobo$91bo23$108b3o$110bo$109bo10$98boo18b
oo18boo18boo$97bobo17bobo17bobo17bobo$66bo9bobo17bo19bo19bo19bo$64bobo
9boo17bo19bo7bo11bo19bo$65boo10bo16bo19bo7bo11bo19bo$75bo18boo4bobo11b
oo6b3o9boo3bo14bobo$74boo24boo16boo18bobo14boo$74bobo24bo16boo18bobo$
122b3o14bo$100boo20bo$100bobo20bo$100bo39boo$137boboo$135bobo3bo$136b
oo5$61bo$59boo17boo18boo18boo18boo18boo$56bo3boo15bobo17bobo17bobo17bo
bo17bobo$57bo18bo19bo7bo11bo19bo19bo$55b3o17bo19bo7bo11bo19bo19bo$75b
oo4bobo11boo6b3o9boo3bo14bobo17bobo$62b3o16boo16boo18bobo14bobo17bobo$
62bo19bo16boo18bobo15bobo17bo$63bo39b3o14bo17boo$81boo20bo$81bobo20bo
16bo19boo$81bo34boobboo14boo3bobo$117boobobo14boobbo$116bo19bo9$52bo$
50boo$51boo70bobo$123boo$124bo$63bo19bo$64bo19bo17bobo18boo$62b3o17b3o
18boo17bobbo$30bo72bo19bobo$31boo91bo$30boo29b3o17b3o21boo13bo19boo18b
oo$54boo5bo12boo5bo12boo3bo5bobo6boo3bobo12boo3bobo12boo3bobo$35bobo
17bo6bo12bobbo3bo12bobbobo4bo9bobbobo14bobbobo14bobbo$36boo17bobo17bob
obo15bobobo15bobobo15bobobo7bo7bobo$36bo19bobo17bobo17bobo17bobo17bobo
6boo9bo$57bo19bo19bo19bo19bo8boo$34boo105b3o$35boo104bo7bo$34bo100boo
5bo5boo$136boo10bobo$135bo10$22bo$20boo116bo$21boo113boo$72bobo32bo18b
o10boo4bo$72boo34bo3bo11bobo4boo8boo$33bo39bo32b3oboo13boo3bobbo8boo$
34bo76boo17bobbo$32b3o16bobo18boo57boo5bo$o51boo17bobbo61boo$boo49bo
19bobo62boo20boo$oo29b3o39bo86bo$24boo5bo12boo8boo8boo3bo14boo3boo13b
oo3boo13boo3boo9boo12boo3bo$5bobo17bo6bo12bobbo5bobo8bobbobo14bobbobo
14bobbobo14bobbobo9bobo12bobbo$6boo17bobo17bobobo4bo10bobobo15bobobo
15bobo17bobo6b3o3bo14bobo$6bo19bobo17bobo17bobo17bobo17bo19bo7bo21bo$
27bo19bo19bo19bo47bo$4boo85boo$5boo83boo37boo$4bo82boo3bo37boo$86bobo
40bo6boo$88bo47bobo$136bo12$60bo$61boo74bo$60boo75bobo$130bo6boo$131b
oo$19bo110boo$20boo62boo18boo18boo28boo$19boo23b3o37bobo17bobo17bobo9b
o17bobo$44bo15boo25bo19bo19bo7bo21bo$37b3o5bo13bobo5b3o18bo9bo9bo19bo
6b3o3bo16bo$18boo41bo27bobobooboo11bobo17bobo9bobo15bo$19boo21boo29boo
15booboobboo11boo18boo9boo17bo$18bo24boo28bobo85bo$42bo31bo63boo20boo$
137boo$132boo5bo$74boobboo32boo17bobbo$73bobobbobo26b3oboo13boo3bobbo
8boo$75bobbo30bo3bo11bobo4boo8boo$108bo18bo10boo4bo$137boo$139bo!

The third stage of the fourth synthesis contains a minor error. It should be:

Code: Select all

x = 12, y = 12, rule = B2n3/S23-q
10bo$11bo$9b3o3$8b3o$8bo$2o7bo$bo2bo$bobobo$2bobo$3bo!

[mniemiec]

The third stage of the fourth synthesis contains a minor error. It should be: ...

Oops! There was so much copying and pasting here, this one slipped through. Thanks for catching it.

[mniemiec]

28P25 from 11 gliders, and completed P28 shuttle from 25 gliders:

Code: Select all

x = 310, y = 104, rule = B2n3/S23-q
250bo$251boo$250boo$$243bo$244boo9bobo$222bo20boo11boo$223boo31bo$222b
oo66boo$227bo36boo23bobbo4bo$225boo36bobo23bobo5bo3bo$226boo36bo25bo6b
o3boo$301bobo$302b3o$184bo$180bo3bobo62boo$181booboo38bo23bobo13bo$
180boo42bo25bo13bo38b3o$224bo39bo$243bo$243boo$242bobo$265bo39bo$264bo
bo37bobo$219bo3boo38bobbo36bobbo$219booboo40boo38boo$218bobo3bo21$220b
o$218bobo$219boo11$79bo$80bo144bo$o66bo10b3o145boo$boo65bo156boo$oo64b
3o5b3o$76bo35b4o36b4o36b4o56b4o36b4o$75bo34bo6bo32bo6bo32bo6bo52bo6bo
32bo6bo$110bo6bo32bo6bo32bo6bo44bo7bo6bo32bo6bo$110bo6bo32bo6bo32bo6bo
42bobo7bo6bo32bo6bo$113boo38boo38boo46boo10boo38boo$$45boo38boo38boo
38boo38boo58boo38boo$bboo6bo31bo6bo32bo6bo32bo6bo32bo6bo32bo6bo52bo6bo
15boo15bo6bo$bobo4boo32bo6bo32bo6bo32bo6bo32bo6bo32bo6bo52bo6bo15boo
15bo6bo$3bo5boo31bo6bo32bo6bo32bo6bo32bo6bo11bo20bo6bo52bo6bo24bo7bo6b
o$44b4o36b4o16bobo17b4o36b4o14booboo17b4o56b4o25boo9b4o$105boo42bobo
29boobboo107bo$105bo39boo3boo39bo59bo$142b3oboobbo39bobo57bobo$65bo76b
5o43boo58boo$65boo76b3o148bo$64bobo17b4o36b4o36b4o36b4o40bo15b4o25boo
9b4o$43bo5boo31bo6bo32bo6bo32bo6bo32bo6bo38boo12bo6bo24bo7bo6bo$41bobo
4boo32bo6bo32bo6bo32bo6bo32bo6bo37bobo12bo6bo15boo15bo6bo$42boo6bo31bo
6bo32bo6bo32bo6bo32bo6bo52bo6bo15boo15bo6bo$85boo38boo38boo38boo58boo
38boo$$153boo38boo58boo38boo$150bo6bo32bo6bo52bo6bo32bo6bo$150bo6bo32b
o6bo52bo6bo32bo6bo$115bo34bo6bo32bo6bo52bo6bo32bo6bo$116bo35b4o36b4o
56b4o36b4o$40boo64b3o5b3o$41boo65bo$40bo66bo10b3o$120bo$119bo3$219boo$
220boo$219bo5boo$224bobo$226bo!

[carsoncheng]

xs10_xg853z321 in 5G:

Code: Select all

x = 54, y = 49, rule = B2n3/S23-q
16bo$16bobo$16b2o14$2o$b2o$o2$10b2o10bo$10bobo8b2o$10bo10bobo24$51b3o
$51bo$52bo!

xs12_330fho in 5G:

Code: Select all

x = 40, y = 43, rule = B2n3/S23-q
15bobo$16b2o$16bo18$24b2o$24bobo$24bo3$13b3o21b2o$15bo21bobo$14bo22bo
13$3o$2bo$bo!

xs12_o4q552z01 in 5G:

Code: Select all

x = 43, y = 27, rule = B2n3/S23-q
41bo$40bo$40b3o4$15bo$15bobo$15b2o4$12bo$10bobo$11b2o7$8b2o$7bobo$9bo
$2o$b2o$o!

xs16_0ggca96z3443 in 4G:

Code: Select all

x = 18, y = 21, rule = B2n3/S23-q
29bobo1$29b2o1$22bo7bo1$22bobo1$22b2o9$28bo1$27b2o1$27bobo4$28b2o1$28bobo1$28bo!

xs11_g8ka52z11 in 4G:

Code: Select all

x = 21, y = 12, rule = B2n3/S23-q
18bobo$18b2o$19bo$9b3o$11bo$10bo3$16b2o$2o13bobo$b2o14bo$o!

xs14_39e0eio in 4G:

Code: Select all

x = 32, y = 29, rule = B2n3/S23-q
14bo$12bobo$13b2o$17bobo$17b2o$18bo20$bo$b2o26b2o$obo26bobo$29bo!

xp6_ehhhezzwehhhe in 5G:

Code: Select all

x = 28, y = 13, rule = B2n3/S23-q
21bo$21bobo$21b2o$15bo$14bo$14b3o2$25b2o$15bo9bobo$14b2o9bo$bo12bobo$
b2o$obo!

1G eater to xs12_0ggka52z32

Code: Select all

x = 10, y = 5, rule = B2n3/S23-q
8b2o$7bobo$2bo4bo$obo3b2o$b2o!

xs14_wggca52z2521 in 5G:

Code: Select all

x = 22, y = 42, rule = B2n3/S23-q
21bo$19bobo$20b2o4$13bobo$14b2o$14bo8$10b2o$11b2o$10bo2$16b3o$18bo$17b
o17$3o$2bo$bo!

Sorry if these syntheses are known, it's really difficult to keep track of everything without an official synthesis database.

[mniemiec]

xs10_xg853z321 in 5G: ...

There are already many ways to create the two-canoe constellation from 4 gliders, and remove one of the canoes with 1.

xs12_330fho in 5G: ...

This is another way to make this in 5 gliders, although it forms differently.

xs12_o4q552z01 in 5G: ...

Great! The previous synthesis of this took 10 gliders.

xs16_0ggca96z3443 in 4G: ...

Nice! There was no previously known synthesis for this.

xs11_g8ka52z11 in 4G: ...

There is a different way to make this from 4 gliders.

xs14_39e0eio in 4G: ...

There is a different way to make this from 4 gliders.

xp6_ehhhezzwehhhe in 5G: ...

This kind of trivial P6+tub-like still-life interaction is common. There is one with a boat that can be made from 3 gliders, but this one is new.

1G eater to xs12_0ggka52z32 ...

This is a well-known converter.

xs14_wggca52z2521 in 5G: ...

Nice! This one is new.

[carsoncheng]

More syntheses:

xp10_33szy014ac in 4G:

Code: Select all

x = 34, y = 31, rule = B2n3/S23-q
o$b2o$2o9$33bo$31b2o$32b2o2$25bo$24bo$24b3o11$10b2o$11b2o$10bo!

xp4_33s433ic in 5G:

Code: Select all

x = 26, y = 23, rule = B2n3/S23-q
9bo$7b2o7bo$8b2o5bo$15b3o$obo$b2o$bo$11b3o$11bo$12bo11$23b3o$23bo$24b
o!

xp3_252szx1256 in 4G:

Code: Select all

x = 18, y = 28, rule = B2n3/S23-q
15bo$15bobo$15b2o8$o$b2o$2o6$7bo$5bobo$6b2o5$4b3o$6bo$5bo!

xs16_wg8ka53z6521 in 5G:

Code: Select all

x = 82, y = 25, rule = B2n3/S23-q
o$b2o$2o5$61b2o11b2o$61b2o11bobo$67b2o6bobo$66bo2bo6bobo$67bobo7bobo$
68bo9bobo$79bobo$80b2o$16bobo45b3o$17b2o47bo3b2o$17bo47bo4b2o4$22b2o$
13bo7b2o$13b2o8bo$12bobo!

xs9_178426 in 4G:

Code: Select all

x = 19, y = 22, rule = B2n3/S23-q
o$b2o$2o8$17bo$16b2o$10bo5bobo$10b2o$9bobo5$3b2o$4b2o$3bo!

xs15_695q88gzx121 in 4G:

Code: Select all

x = 21, y = 12, rule = B2n3/S23-q
19bo$18bo$18b3o$bo4bobo$2bo4b2o$3o4bo4$6b2o$5b2o$7bo!

xs19_c9bq2sgz311 in 5G:

Code: Select all

x = 16, y = 21, rule = B2n3/S23-q
10bo$9bo$9b3o6$bo$2bo$3o3bobo$7b2o$7bo3$7b2o$7bobo$7bo$14bo$13b2o$13b
obo!

xs14_69960ui in 4G:

Code: Select all

x = 19, y = 18, rule = B38/S23
bo$2bo$3o5$17b2o$16b2o$18bo2$15bo$14b2o$14bobo2$b2o$2b2o$bo!

xs23_4a960uicz03553 in 4G:

Code: Select all

x = 27, y = 22, rule = B38/S23
24bobo$24b2o$25bo6$2bo$obo$b2o2$11bo$12bo$10b3o5$15bo$14b2o$14bobo!

xs18_j1u0uh3z11 in 4G:

Code: Select all

x = 10, y = 23, rule = B38/S23
9bo$7bobo$8b2o3$4bobo$5b2o$5bo3$2o$b2o$o8$2o$b2o$o!

[Period1GliderGun]

syntheses

The last three are in Pedestrian Life.

[mniemiec]

xp10_33szy014ac in 4G: ...

Found by lemon41625 on 2020-06-02; this is the only way I know to make this.

xp4_33s433ic in 5G: ...

4-glider synthesis exists, found by goldenratio 2020-09-04

xp3_252szx1256 in 4G: ...

Found by goldenratio 2020-09-04; this is the only way I know to make this.

xs16_wg8ka53z6521 in 5G: ...

Nice! This one is totally new.

xs9_178426 in 4G: ...

Great! My previous synthesis for this used 8 gliders. This also improves 14 other derived syntheses!

xs15_695q88gzx121 in 4G: ... xs19_c9bq2sgz311 in 5G: ...

Also both new!

xs14_69960ui in 4G: ... xs23_4a960uicz03553 in 4G: ... xs18_j1u0uh3z11 in 4G: ...

I don't know anyone who has been comprehensively studying Pedestrian Life syntheses, so these are probably new.

[carsoncheng]

More syntheses (some are probably known):

xs14_mmge13z1 in 5G:

Code: Select all

x = 24, y = 22, rule = B2n3/S23-q
19bo$18b2o$18bobo2$bo$b2o8b2o$obo7bobo9b2o$12bo8b2o$23bo11$2b3o$4bo$3b
o!

xs11_31eg84c in 5G:

Code: Select all

x = 58, y = 54, rule = B2n3/S23-q
bo$2bo$3o29$54bo$54bobo$54b2o8$49bobo$50b2o$50bo4b2o$55bobo$55bo6$44b
2o$43bobo$45bo!

xs16_xca952z6513 in 4G:

Code: Select all

x = 10, y = 16, rule = B2n3/S23-q
7bo$6bo$6b3o4$3bo$2b2o$2bobo$8b2o$7b2o$9bo2$3o$2bo$bo!

xs15_j1u06a4z11 in 5G:

Code: Select all

x = 52, y = 47, rule = B2n3/S23-q
31bo$29bobo$30b2o13$28b2o10b2o$29b2o9bobo$28bo11bo7$50b2o$49b2o$51bo18$
3o$2bo$bo!

xs14_wggca52z2521 in 4G (down from 5G):

Code: Select all

x = 19, y = 19, rule = B2n3/S23-q
14bobo$15b2o$15bo3$6b2o$7b2o$6bo2$16b3o$18bo$17bo5$2o$b2o$o!

xs13_0gbb8oz121 in 4G:

Code: Select all

x = 21, y = 10, rule = B2n3/S23-q
9bo$obo7b2o8bo$b2o6b2o7b2o$bo17b2o4$12b3o$14bo$13bo!

xp6_xca96z6513zxehhhe in 4G:

Code: Select all

x = 18, y = 30, rule = B2n3/S23-q
2bo12bobo$obo12b2o$b2o13bo4$4bobo$5b2o$5bo19$3b2o$2bobo$4bo!

xs34_4a97079acz259e0e953 in 4G:

Code: Select all

x = 23, y = 16, rule = B2n3/S23-q
16bo$14b2o$15b2o7$20b2o$20bobo$9b2o9bo$9bobo$b2o6bo$obo$2bo!

[mniemiec]

xs14_mmge13z1 in 5G: ...

New.

xs11_31eg84c in 5G: ...

This is an improvement over the previous 6-glider synthesis (based on your improvement from yesterday, which had reduced the previous 10-glider synthesis to 6).

xs16_xca952z6513 in 4G: ... xs15_j1u06a4z11 in 5G: ...

Both new.

xs14_wggca52z2521 in 4G (down from 5G): ...

Ridiculously long-lasting (which is unusual for this rule), but nice.

xs13_0gbb8oz121 in 4G: ... xp6_xca96z6513zxehhhe in 4G: ...

Both new.

xs34_4a97079acz259e0e953 in 4G: ...

An improvement over the original 6-glider synthesis.

[carsoncheng]

xs10_drz32 in 4G, probably known:

Code: Select all

x = 18, y = 15, rule = B2n3/S23-q
2bo$obo$b2o3$3bobo$4b2o$4bo8bo$12b2o$12bobo3$15b2o$15bobo$15bo!

xs20_gwgilmzdl91w1 in 4G, probably known:

Code: Select all

x = 16, y = 9, rule = B2n3/S23-q
6bo$4bobo$5b2o8bo$13b2o$2o12b2o$b2o$o8b2o$9bobo$9bo!

xs28_4a9baiczw69aqia4 in 7G:

Code: Select all

x = 120, y = 111, rule = B2n3/S23-q
118bo$117bo$117b3o39$78bobo$78b2o$79bo8$62bo$62b2o$61bobo3$50bo$51bo$
49b3o2$59b2o$58b2o$60bo5$40bo$40b2o$39bobo39$3o$2bo$bo!

xp6_4msfq8zw1 in 6G:

Code: Select all

x = 70, y = 64, rule = B2n3/S23-q
obo$b2o$bo15$36bo$36bobo$31bo4b2o$29bobo$30b2o21$38b2o$38bobo$32b2o4b
o$31bobo$33bo15$68bo$67b2o$67bobo!

xs11_xg853zca1 in 8G, probably suboptimal:

Code: Select all

x = 78, y = 23, rule = B2n3/S23-q
75bo$76bo$74b3o2$12bo$obo9bobo$b2o9b2o62b2o$bo74b2o$6bo63b2o$7bo61bob
o$5b3o60bo$67bo$13b3o50bo$13bo49bobo$14bo48b2o$19bo37b2o$7b2o9b2o37b2o
$6bobo9bobo$8bo2$58b3o$58bo$59bo!

xs22_0oi6kl3zca2641 in 4G, probably known:

Code: Select all

x = 17, y = 11, rule = B2n3/S23-q
7bo$8b2o$7b2o6bo$14b2o$14bobo2$obo$b2o$bo6b2o$7b2o$9bo!

xs17_6akg84215ac in 6G; probably improvable to 5 gliders:

Code: Select all

x = 25, y = 27, rule = B2n3/S23-q
17bo$16bo$16b3o$8bo$6bobo$7b2o3$2bo$obo$b2o6$22b2o$22bobo$22bo3$16b2o
$16bobo$16bo$6b3o$8bo$7bo!

This one must be known, but what a shocking rediscovery:

Code: Select all

x = 15, y = 15, rule = B2n3/S23-q
9bo$8bo$8b3o2$2bo$obo$b2o2$12b2o$12bobo$12bo2$4b3o$6bo$5bo!

xs20_o8gehegozw343 in 8G:

Code: Select all

x = 85, y = 24, rule = B2n3/S23-q
24bo$23bo40bo$23b3o37bo$63b3o3$4bo55bo$5bo53bobo$3b3o18bo34bobo9b2o$23b
o36bo10bo$23b3o46b3o$69b3o3bo$68bo3b3o$3o66b3o$2bo69bo10bo$bo18b3o48b
2o9bobo$20bo61bobo$21bo61bo3$78b3o$3o77bo$2bo76bo$bo!

[mniemiec]

xs10_drz32 in 4G, probably known: ...

Another 4-glider synthesis was known, but this one is smaller and faster.

xs20_gwgilmzdl91w1 in 4G, probably known: ...

Wow! Definitely new!

xs28_4a9baiczw69aqia4 in 7G: ...

Very nice! And the cleanup is clever.

xp6_4msfq8zw1 in 6G: ...

Excellent! On 2020-07-21, I brute-forced a 16-glider synthesis of this by creating two blinkers the easy way, and then edge-shooting the other two blinkers the hard way (which Hunting by 1 improved on
2021-01-26 with a 3-glider 2-blinker constellation), but this is much better!

xs11_xg853zca1 in 8G, probably suboptimal: ...

Yes; I found this 6-glider synthesis on 2020-11-15:

Code: Select all

x = 15, y = 15, rule = B2n3/S23-q
bbo$obo$boo$$bo$boo$obo4bo$7bo$7bo4bobo$12boo$13bo$$12boo$12bobo$12bo!

xs22_0oi6kl3zca2641 in 4G, probably known: ...

Also new!

xs17_6akg84215ac in 6G; probably improvable to 5 gliders: ...

New, and quite elegant!

This one must be known, but what a shocking rediscovery: ...

It's totally new to me!

xs20_o8gehegozw343 in 8G: ...

Also new!

[mniemiec]

I just found this 4-glider converter that changes a ship into a carrier. This can be used to create objects with tied carriers, and pseudo-objects with inducted cis- or trans- carriers. (Unfortunately, attempts to create a similar converter to turn anything into a snake have so far been unsuccesful.)

Code: Select all

x = 10, y = 13, rule = B2n3/S23-q
oo6bo$obo3boo$boo4boo3$bboo$3boobb3o$bbo4bo$8bo$$5boo$4bobo$6bo!

[galoomba]

Is there a list of these somewhere? (It would be nice if Catagolue supported syntheses in non-CGoL rules...)

[galoomba]

Is there a list of these somewhere? (It would be nice if Catagolue supported syntheses in non-CGoL rules...)

Could a wiki page be made for this? Not sure what the wiki's policy for stuff like this is.

[confocaloid]

Is there a list of these somewhere? (It would be nice if Catagolue supported syntheses in non-CGoL rules...)

Could a wiki page be made for this? Not sure what the wiki's policy for stuff like this is.

Maybe -- feel free to mercilessly expand a subpage I just created: OCA:LeapLife/Glider syntheses

[carsoncheng]

xs13_3pczw1156 in 4G:

Code: Select all

x = 17, y = 14, rule = B2n3/S23-q
14bobo$14b2o$15bo5$12bo$bo9b2o$b2o8bobo$obo$6bo$5b2o$5bobo!

xs14_0g8ka53z321 in 4G:

Code: Select all

x = 18, y = 20, rule = B2n3/S23-q
2bo$obo7bobo$b2o8b2o$11bo$15bobo$15b2o$16bo11$15b2o$14b2o$16bo!

xs14_39e0eio in 4G:

Code: Select all

x = 9, y = 14, rule = B2n3/S23-q
6bo$7b2o$6b2o$bo$2bo$3o3$b2o$2b2o$bo$6b2o$7b2o$6bo!

xs19_8e1v0fpzx11 in 4G:

Code: Select all

x = 12, y = 17, rule = B2n3/S23-q
8bobo$8b2o$9bo$o$b2o$2o2$9bo$9bobo$9b2o5$9b2o$10b2o$9bo!

[galoomba]

Here are syntheses for the last 6 unsynthesized 11-bit still-lifes: the first from a soup, and the rest by brute force. These introduce a few new converters, which should make creating arbitrary-length snakes, canoes, shillelaghs, cis-shillelaghs, etc. trivial (although expensive).

Code: Select all

x = 162, y = 180, rule = B2n3/S23-q
129bo$130bo$128b3o$$132bo21boobo$131bo22boboo$131b3o24boo$120bo37bobo$
100bo17bobo38bo$98boo19boo$99boo22boo$122bobo$124bo10bo$87bo46bobo$88b
o44bobo$86b3o44boo$$90boo$89bobo$91bo23$108b3o$110bo$109bo10$98boo18b
oo18boo18boo$97bobo17bobo17bobo17bobo$66bo9bobo17bo19bo19bo19bo$64bobo
9boo17bo19bo7bo11bo19bo$65boo10bo16bo19bo7bo11bo19bo$75bo18boo4bobo11b
oo6b3o9boo3bo14bobo$74boo24boo16boo18bobo14boo$74bobo24bo16boo18bobo$
122b3o14bo$100boo20bo$100bobo20bo$100bo39boo$137boboo$135bobo3bo$136b
oo5$61bo$59boo17boo18boo18boo18boo18boo$56bo3boo15bobo17bobo17bobo17bo
bo17bobo$57bo18bo19bo7bo11bo19bo19bo$55b3o17bo19bo7bo11bo19bo19bo$75b
oo4bobo11boo6b3o9boo3bo14bobo17bobo$62b3o16boo16boo18bobo14bobo17bobo$
62bo19bo16boo18bobo15bobo17bo$63bo39b3o14bo17boo$81boo20bo$81bobo20bo
16bo19boo$81bo34boobboo14boo3bobo$117boobobo14boobbo$116bo19bo9$52bo$
50boo$51boo70bobo$123boo$124bo$63bo19bo$64bo19bo17bobo18boo$62b3o17b3o
18boo17bobbo$30bo72bo19bobo$31boo91bo$30boo29b3o17b3o21boo13bo19boo18b
oo$54boo5bo12boo5bo12boo3bo5bobo6boo3bobo12boo3bobo12boo3bobo$35bobo
17bo6bo12bobbo3bo12bobbobo4bo9bobbobo14bobbobo14bobbo$36boo17bobo17bob
obo15bobobo15bobobo15bobobo7bo7bobo$36bo19bobo17bobo17bobo17bobo17bobo
6boo9bo$57bo19bo19bo19bo19bo8boo$34boo105b3o$35boo104bo7bo$34bo100boo
5bo5boo$136boo10bobo$135bo10$22bo$20boo116bo$21boo113boo$72bobo32bo18b
o10boo4bo$72boo34bo3bo11bobo4boo8boo$33bo39bo32b3oboo13boo3bobbo8boo$
34bo76boo17bobbo$32b3o16bobo18boo57boo5bo$o51boo17bobbo61boo$boo49bo
19bobo62boo20boo$oo29b3o39bo86bo$24boo5bo12boo8boo8boo3bo14boo3boo13b
oo3boo13boo3boo9boo12boo3bo$5bobo17bo6bo12bobbo5bobo8bobbobo14bobbobo
14bobbobo14bobbobo9bobo12bobbo$6boo17bobo17bobobo4bo10bobobo15bobobo
15bobo17bobo6b3o3bo14bobo$6bo19bobo17bobo17bobo17bobo17bo19bo7bo21bo$
27bo19bo19bo19bo47bo$4boo85boo$5boo83boo37boo$4bo82boo3bo37boo$86bobo
40bo6boo$88bo47bobo$136bo12$60bo$61boo74bo$60boo75bobo$130bo6boo$131b
oo$19bo110boo$20boo62boo18boo18boo28boo$19boo23b3o37bobo17bobo17bobo9b
o17bobo$44bo15boo25bo19bo19bo7bo21bo$37b3o5bo13bobo5b3o18bo9bo9bo19bo
6b3o3bo16bo$18boo41bo27bobobooboo11bobo17bobo9bobo15bo$19boo21boo29boo
15booboobboo11boo18boo9boo17bo$18bo24boo28bobo85bo$42bo31bo63boo20boo$
137boo$132boo5bo$74boobboo32boo17bobbo$73bobobbobo26b3oboo13boo3bobbo
8boo$75bobbo30bo3bo11bobo4boo8boo$108bo18bo10boo4bo$137boo$139bo!

The fourth step in the second one is invalid.