Still Life Synthesis Thread

[I6_I6]

Does this induction coil have a name?

Code: Select all

x = 4, y = 4, rule = B3/S23
b2o$o2bo$ob2o$bo!

It follows the butterfly sequence.

[pifricted]

Possible way for Lake 4:

Code: Select all

x = 36, y = 36, rule = B3/S23
20b2o$20b2o$20b2o2b2o$23b3o4$20b3o$20bobo$20bobo$2b2o17bo$2b2o11b2o$3b
o11b2o$7b3o$3o4bo2bo$3o4b3o13b2o$23b2o3$11b2o$11b2o13b3o4b3o$25bo2bo4b
3o$26b3o$19b2o11bo$19b2o11b2o$14bo17b2o$13bobo$13bobo$13b3o4$10b3o$10b
2o2b2o$14b2o$14b2o!

[PK22]

Does this induction coil have a name?

Code: Select all

x = 4, y = 4, rule = B3/S23
b2o$o2bo$ob2o$bo!

It follows the butterfly sequence.

That is teardrop. It is rarely used as an induction coil, and never in the form you have posted. I think you might have meant "active region" or one of its synonyms.
xs60_g069b88b960gzd55llllll55dzw346w643 in 9G:

Code: Select all

x = 70, y = 56, rule = B3/S23
68bo$67bo$67b3o14$49bo12bo$47bobo11bo$48b2o11b3o8$obo$2o51b2o7b2o$bo
51b2o7b2o4$2bobo3bo$3b2o3bobo$3bo4b2o3$48b2o11b3o$47bobo11bo$49bo12bo
14$67b3o$67bo$68bo!

Recently, I found a new cheaper method of constructing 2xN block arrays:

I have found a way to synthesise arbitrary 2x4N block arrays in 8N gliders - here are examples for N=11 and N=137:
(...)
In conclusion, any 2xN block array is constructible in <= 2N + 3 gliders.

I found a cleanup stage which takes 8 gliders regardless of the value of N by synthesising 2 HWSSes and having them clean up all of the blinkers:

Code: Select all

x = 356, y = 241, rule = B3/S23
176b2ob2o$176b2ob2o2$168b3o5b2ob2o5b3o$176b2ob2o2$176b2ob2o$168b3o5b2o
b2o5b3o2$176b2ob2o$176b2ob2o2$176b2ob2o$176b2ob2o2$168b3o5b2ob2o5b3o$
176b2ob2o2$176b2ob2o$168b3o5b2ob2o5b3o2$176b2ob2o$176b2ob2o2$176b2ob2o
$176b2ob2o2$168b3o5b2ob2o5b3o$176b2ob2o2$176b2ob2o$168b3o5b2ob2o5b3o2$
176b2ob2o$176b2ob2o2$176b2ob2o$176b2ob2o2$168b3o5b2ob2o5b3o$176b2ob2o
2$176b2ob2o$168b3o5b2ob2o5b3o2$176b2ob2o$176b2ob2o2$176b2ob2o$176b2ob
2o2$168b3o5b2ob2o5b3o$176b2ob2o2$176b2ob2o$168b3o5b2ob2o5b3o2$176b2ob
2o$176b2ob2o2$176b2ob2o$176b2ob2o2$168b3o5b2ob2o5b3o$176b2ob2o2$176b2o
b2o$168b3o5b2ob2o5b3o2$176b2ob2o$176b2ob2o2$176b2ob2o$176b2ob2o2$168b
3o5b2ob2o5b3o$176b2ob2o2$176b2ob2o$168b3o5b2ob2o5b3o2$176b2ob2o$176b2o
b2o2$176b2ob2o$176b2ob2o2$168b3o5b2ob2o5b3o$176b2ob2o2$176b2ob2o$168b
3o5b2ob2o5b3o2$176b2ob2o$176b2ob2o2$176b2ob2o$176b2ob2o2$168b3o5b2ob2o
5b3o$176b2ob2o2$176b2ob2o$168b3o5b2ob2o5b3o2$176b2ob2o$176b2ob2o2$176b
2ob2o$176b2ob2o74bobo$225bobo27b2o$168b3o5b2ob2o5b3o36b2o29bo$176b2ob
2o45bo2$176b2ob2o76bobo$168b3o5b2ob2o5b3o38bobo27b2o$227b2o29bo$176b2o
b2o47bo$176b2ob2o2$176b2ob2o$176b2ob2o2$168b3o5b2ob2o5b3o$176b2ob2o2$
176b2ob2o$168b3o5b2ob2o5b3o2$176b2ob2o$b2o173b2ob2o172b3o$obo350bo$2bo
351bo105$131b2o$101b2o27bobo$100bobo29bo$102bo!

(7G might be possible if you can find a G+HWSS collision that releases a glider, since then it could be used in the synthesis of the other HWSS).
This reduces the cost of arbitrarily large 2xN arrays to:

• 2x4N: 6N + 8
• 2x4N+1: 6N + 10
• 2x4N+2: 6N + 12
• 2x4N+3: 6N + 15

For 2x4N, 2x4N+1, and 2x4N+2 arrays, HWSS cleanup becomes cheaper than glider cleanup for N >= 4. My previous post already proved that these can all already be constructed at a cost of less than or equal to 1G/block. 2x4N+3 is a little more interesting, however. The cheapest way to do this is to build a 2x4N+4 array, then use one glider to destroy two blocks. It is optimal to use HWSS cleanup for N >= 3, but the cost for some arrays exceeds the number of blocks:

• 2x3: There is a 5G synthesis on Catagolue.
• 2x7: Currently 18G, my method (with glider cleanup) suggests 17G, target is 14G.
• 2x11: No synthesis on Catagolue, my method suggests 25G (target 22G), although RCT implies a 15G synthesis anyway.
• 2x15: Possible in 33G, target 30G.
• 2x19: Possible in 39G, target 38G.
• 2x23: Possible in 45G, target 46G.

In conclusion, even without the use of RCT (or any other fixed-cost construction), a very large 2xN block array can be constructed with roughly 3N/4 gliders, and it is (currently) possible to construct all but four 2xN block arrays at a cost of less than or equal to the number of blocks. (Sooner or later, we should figure out the remaining four - some searching in Pseudo_D4_+2_Test should turn up a suitable reaction for a 2x7 synthesis).

[Chris857]

Does this induction coil have a name?

Code: Select all

x = 4, y = 4, rule = B3/S23
b2o$o2bo$ob2o$bo!

It follows the butterfly sequence.

That is teardrop. It is rarely used as an induction coil, and never in the form you have posted. I think you might have meant "active region" or one of its synonyms.

In their defense, maybe "induction coil" is the wrong phrase, but it does show up in still lifes like this one.

Code: Select all

x = 7, y = 6, rule = B3/S23
b2o$o2bo$ob2o$bo2b2o$3bo2bo$4b2o!

[Resu]

In their defense, maybe "induction coil" is the wrong phrase, but it does show up in still lifes like this one.

Code: Select all

x = 7, y = 6, rule = B3/S23
b2o$o2bo$ob2o$bo2b2o$3bo2bo$4b2o!

It can be used as an induction coil:

Code: Select all

x = 7, y = 11, rule = B3/S23
b2o$o2bob2o$ob2obo$bo3bo$3b2o$2b2o$5bo$2b4o$2bo$3b3o$5bo!

[I6_I6]

It can be used as an induction coil:

Code: Select all

x = 7, y = 11, rule = B3/S23
b2o$o2bob2o$ob2obo$bo3bo$3b2o$2b2o$5bo$2b4o$2bo$3b3o$5bo!

Does that mean it's an induction coil only if it's used as an induction coil?

[I6_I6]

Can someone solve this?

Code: Select all

x = 12, y = 7, rule = B3/S23
6bob2o$2o3bob2obo$bo3bo5bo$bob2obob3o$2bobobobo$6bo$6b2o!

xs26_2eg8o6p2r9a4zy232
It's the unnamed catalyst in the 0-degree colour-preserving reflector (March 2023)

[vilc]

Can someone solve this?

Done in 33G using transfer.

Code: Select all

x = 335, y = 36, rule = B3/S23
134bo$134bobo$134b2o$111bo$109bobo$110b2o$129bo197bo4bo$129bobo177bo
17bobo2bobo$129b2o176bobo17b2o3b2o$308b2o4bobo$215bobo97b2o$109bo105b
2o98bo7bo$110b2o104bo107bo5bo$68bo40b2o211b3o5bobo$62bobo2bo142bobo5bo
4bo106b2o$63b2o2b3o102bo5bo32b2o4bo4bo$63bo45b2o62bo3bo33bo5b3o2b3o86b
o$108bobo60b3o3b3o132bo$110bo199b3o$71b2o31b3o12b2o140b2o57b2o$71bobo
32bo12b2o93b2o4b3o39bo58bo$71bo33bo64b2o3b3o35bobo4bo40bo51b2o5bo$67b
2o50b2o49bobo2bo37b2o6bo39b2o49bobo5b2o$64b2o2bo47b2o2bo47b2o2bo3bo34b
2o46b2o6bo46bo3b2o$63bo2b2o47bo2b2o47bo2b2o38bo2b2o43bo2b2o3bo50bo2b4o
$29bobo32bo51bo51bo42bo3bo43bo3bo2b3o49bo4bo$5bo23b2o32b2ob2o47b2ob2o
47b2ob2o38b2ob2o43b2ob2o8bo45b2ob2o$3b2o25bo32bo2bo48bo2bo48bo2bo39bo
2bo44bo2bo8b2o45bo2bo$4b2o58bobo49bobo14bo34bobo40bobo45bobo8bobo45bob
o$65bo51bo14b2o35bo42bo47bo58bo$o131bobo$b2o8bo$2o7b2o$4b3o3b2o$6bo$5b
o!

[I6_I6]

Can someone solve this?

Done in 33G using transfer.

Code: Select all

x = 335, y = 36, rule = B3/S23
134bo$134bobo$134b2o$111bo$109bobo$110b2o$129bo197bo4bo$129bobo177bo
17bobo2bobo$129b2o176bobo17b2o3b2o$308b2o4bobo$215bobo97b2o$109bo105b
2o98bo7bo$110b2o104bo107bo5bo$68bo40b2o211b3o5bobo$62bobo2bo142bobo5bo
4bo106b2o$63b2o2b3o102bo5bo32b2o4bo4bo$63bo45b2o62bo3bo33bo5b3o2b3o86b
o$108bobo60b3o3b3o132bo$110bo199b3o$71b2o31b3o12b2o140b2o57b2o$71bobo
32bo12b2o93b2o4b3o39bo58bo$71bo33bo64b2o3b3o35bobo4bo40bo51b2o5bo$67b
2o50b2o49bobo2bo37b2o6bo39b2o49bobo5b2o$64b2o2bo47b2o2bo47b2o2bo3bo34b
2o46b2o6bo46bo3b2o$63bo2b2o47bo2b2o47bo2b2o38bo2b2o43bo2b2o3bo50bo2b4o
$29bobo32bo51bo51bo42bo3bo43bo3bo2b3o49bo4bo$5bo23b2o32b2ob2o47b2ob2o
47b2ob2o38b2ob2o43b2ob2o8bo45b2ob2o$3b2o25bo32bo2bo48bo2bo48bo2bo39bo
2bo44bo2bo8b2o45bo2bo$4b2o58bobo49bobo14bo34bobo40bobo45bobo8bobo45bob
o$65bo51bo14b2o35bo42bo47bo58bo$o131bobo$b2o8bo$2o7b2o$4b3o3b2o$6bo$5b
o!

what's transfer?

[Chris857]

what's transfer?

https://conwaylife.com/wiki/Shinjuku#transfer.py (I presume)

[vilc]

what's transfer?

https://conwaylife.com/wiki/Shinjuku#transfer.py (I presume)

transfer.py is a program which searches for applications of known components. I was actually referring to my C++ version of it (I gave it the same name because it is merely a translation, and because I am not good at names). It is several times faster, uses less memory, supports multithreading and restrictions on the template components set.

[Macbi]

(I gave it the same name because it is merely a translation, and because I am not good at names)

It seems like the most logical name would simply be 'transfer.cpp'. That distinguishes them while making it clear they're related.

[I6_I6]

xs22_32qr22rq23 in 11G, down from 18G:

Code: Select all

x = 136, y = 38, rule = B3/S23
42bo$43bo$41b3o2$115bo$3bo60b2o50bo$3b2o59b2o48b3o9bo2bo2bo2bo$2bobo
52bo68b10o$56bobo60b2o$6b3o47bobo59bo2bo6b2o2b2o$6bo50bo61b2o7b2o2b2o$
b2o4bo$obo$2bo$40b2o19b2o$39bobo20b2o$41bo19bo4b2o$67b2o2bo$66bo3b2o$
70bobo3$42b2o$43b2o$42bo11$82b2o$81b2o$83bo!

From this soup:

Code: Select all

x = 16, y = 16, rule = B3/S23
5b3o2bobo$6ob3obobobo$bo2bo7bo$o8b3obo$obo2b2ob4ob3o$bob3o2bob3o$2ob9o
bo$2ob3o4bobobo$bo3b5o2b4o$3ob6o2b4o$b2o4b2obo3b2o$bo9bob2o$o4bo4bo2bo
bo$bobo2bo2bo2bobo$ob3o2bo4bo$b3ob2o2bo2b2o!

Very satisfying cleanup

A synthesis for xs26_39u0mk46z321078c in 13G:

Code: Select all

x = 183, y = 22, rule = B3/S23
80bo$79bo$79b3o$138bo$133bo3bo$40bobo89bo4b3o$6b2o33b2o37b3o3bo45b3o
46b2o$obo3bobo32bo3bo36bo2bobobo33bo2bobo46bo2bobobo$b2o3bo38b3o33bo4b
2ob3o31b4ob3o44b4obo$bo46bo43bo38bo48b2o$45b3o38b2ob3o33b2ob3o7b2o37b
2obo$41bo3bo39bobobo34bobobo8b2o37bobobobo$7b3o31b2o43bo38bo13bo37bo3b
2o$7bo32bobo129bo$8bo164bo$171b3o3b2o$177bobo$177bo2$170b3o$172bo$171b
o!

[pifricted]

xs78_mlhe8gz1qq1t5gwc4oz0oo0o5d55l5ozcaakldx11z3543 in 17G:

Code: Select all

x = 174, y = 25, rule = B3/S23
131b2o33b2o$131b2o6b2ob2o11b2ob2o6b2o$138bobobobob2o3b2obobobobo$29bo
3bo29bo3bo19bo3bo46bo3bobob2o3b2obobo3bo$28bobobobo27bobobobo6bo10bob
obobo32b3o11b3obo11bob3o11b3o$28bobobobo27bobobobo4b2o11bobobobo34bo13b
obob3o3b3obobo13bo$29bo3bo29bo3bo6b2o11bo3bo34bo15b2obo2bobo2bob2o15b
o$78bo68b2ob2o$78bobo67bobo$78b2o68bobo$2o143b2obobob2o$b2o72b2o68bo2b
obo2bo$o67b2o4bobo69b2o3b2o$4b3o61b2o6bo$6bo54b3o17b2o7b3o$5bo57bo16b
obo7bo46bo23bo$62bo19bo8bo44bobo21bobo$3o7b3o123bobo21bobo$2bo7bo126b
o23bo$bo9bo3$131b3o31b3o$133bo31bo$132bo33bo!

xs77_ml1u0ooxoo0u1lmz034baa6x6aab43zw69d1134311d96 in 13G:

Code: Select all

x = 22, y = 39, rule = B3/S23
8bobo$9b2o$9bo7$6bobo$7b2o3bo$7bo2b2o$11b2o4bo$15b2o$16b2o2$4bobo12b3o
$5b2o$5bo2$bo$b2o$obo16b3o2$16b2o$15b2o$11b2o4bo$7bo2b2o$7b2o3bo$6bob
o7$9bo$9b2o$8bobo!

[I6_I6]

xs22_39e0o4czx230eio in 10G, reduced from 13G:

Code: Select all

x = 118, y = 20, rule = B3/S23
40bo$41b2o$40b2o2$90bo18b2o$42bobo2bobo39bo18bobo$43b2o2b2o40b3o17bo$
43bo4bo66b2o$85bobo26bo2bo$86b2o8bo18b2o$86bo9bobo$6bo89b2o$6bobo44b2o
$bo4b2o44b2o$b2o51bo$obo40bo65bo$7b2o34bo65bo$6bobo34bo65bo$8bo$39b3o
63b3o!

From this soup:

Code: Select all

x = 16, y = 16, rule = B3/S23
2o3b2obo2b2obo$ob2obo2b2obo3bo$obo3bo7b2o$b7obo5bo$2bo2bo3bo3b2o$3ob3o
3b6o$b2ob3obo$2o4b2o3b2o2bo$o2b2o3bob2o3bo$8b3o3bo$bo7bob2obo$obobo3bo
2b2o$bo2bo5b2o3bo$3o3bobobob3o$bob2obo3bob2obo$o2bobo2b5obo!
[[ STOP 5951 ]]

EDIT:

xs78_mlhe8gz1qq1t5gwc4oz0oo0o5d55l5ozcaakldx11z3543 in 17G:

Code: Select all

RLE

How do you find such large still lifes?

[pifricted]

How do you find such large still lifes?

Catagolue's D2_+1 census.

[ThePlayzr]

Possible way for Lake 4:

Code: Select all

x = 36, y = 36, rule = B3/S23
20b2o$20b2o$20b2o2b2o$23b3o4$20b3o$20bobo$20bobo$2b2o17bo$2b2o11b2o$3b
o11b2o$7b3o$3o4bo2bo$3o4b3o13b2o$23b2o3$11b2o$11b2o13b3o4b3o$25bo2bo4b
3o$26b3o$19b2o11bo$19b2o11b2o$14bo17b2o$13bobo$13bobo$13b3o4$10b3o$10b
2o2b2o$14b2o$14b2o!

I think this 2-glider synth for a honey farm looks best for this scenario:

Code: Select all

x = 4, y = 7, rule = B3/S23
3bo$bobo$2b2o2$bo$b2o$obo!

I am unsure of how to make the other thing, though.

[I6_I6]

xs64_69b88bb88bb88b96z69d11dd11dd11d96 in 20G:

Code: Select all

x = 293, y = 56, rule = B3/S23
287bo$288bo$286b3o$231b2o57b2o$230bo2bo55bo2bo$231bobo56bobo$232bo58bo
4$97bobo$97b2o$98bo$7bo$7bobo$7b2o239b2o$2bo170bo74b2o$obo76bo5bobo3bo
58bobo2b2o15bobo$b2o77bo5b2o3bobo57b2ob2o17bo$65b2o11b3o5bo4b2o53b2o3b
o4bo$65b2o79b2o76b2o3b2o9b3o3b2o35b2o3b2o$169b2o52bo2bobo2bo13b2o35bo
2bobo2bo$168bo2bo51b2obobob2o15bo34b2obobob2o$169b2o55bobo56bobo$226bo
bo56bobo$223b2obobob2o50b2obobob2o$223b2obobob2o50b2obobob2o$226bobo
56bobo$226bobo56bobo$223b2obobob2o50b2obobob2o$223b2obobob2o50b2obobob
2o$226bobo56bobo$226bobo56bobo$207bo15b2obobob2o50b2obobob2o$208b2o13b
o2bobo2bo50bo2bobo2bo$207b2o3b3o9b2o3b2o52b2o3b2o$134b2o$133bo2bo$134b
2o$76b2o79b2o46b2o$50b2o4bo5b3o11b2o70bo4bo3b2o46b2o$16b2o31bobo3b2o5b
o68bo17b2ob2o$16bobo32bo3bobo5bo66bobo15b2o2bobo$16bo114bo$10b2o$9bobo
$11bo$44bo$44b2o$43bobo176bo58bo$221bobo56bobo$221bo2bo55bo2bo$222b2o
57b2o$284b3o$284bo$285bo!

[qqd]

Anyone attempting a synthesis of xs72_qm0uh3ziu0v0s2qczcngf0v0vizxg2v0qmzx11 from this reaction from soup?

Code: Select all

x = 25, y = 25, rule = B3/S23
16b2o$11b2o3b2o$11b2o2$19bo$bo17bo$bo17bo$bo12b3o$14bo2bo$o5b2o6bo2bo$
o5b2o7b3o$o2$24bo$7b3o7b2o5bo$7bo2bo6b2o5bo$7bo2bo$8b3o12bo$5bo17bo$5b
o17bo$5bo2$12b2o$7b2o3b2o$7b2o!

The fleet predecessor plus blinker has an edgy 4-glider synthesis on catagolue:

Code: Select all

x = 14, y = 12, rule = B3/S23
13bo$11b2o$12b2o2$o$b2o$2o4bobo$6b2o$7bo$b2o$2b2o$bo!
[[ STOP 71 ]]

Might be helpful if you can find an edgy synthesis for the block pair next to the active region. (The '2 blinker plus block' constellation also has a 4-glider synthesis):

Code: Select all

x = 10, y = 19, rule = B3/S23
bo$2b2o$b2o3$b2o$obo$2bo2$6b2o$5b2o$7bo5$8bo$7b2o$7bobo!

[KtT]

xs64_69b88bb88bb88b96z69d11dd11dd11d96 in 20G:

Code: Select all

x = 293, y = 56, rule = B3/S23
287bo$288bo$286b3o$231b2o57b2o$230bo2bo55bo2bo$231bobo56bobo$232bo58bo
4$97bobo$97b2o$98bo$7bo$7bobo$7b2o239b2o$2bo170bo74b2o$obo76bo5bobo3bo
58bobo2b2o15bobo$b2o77bo5b2o3bobo57b2ob2o17bo$65b2o11b3o5bo4b2o53b2o3b
o4bo$65b2o79b2o76b2o3b2o9b3o3b2o35b2o3b2o$169b2o52bo2bobo2bo13b2o35bo
2bobo2bo$168bo2bo51b2obobob2o15bo34b2obobob2o$169b2o55bobo56bobo$226bo
bo56bobo$223b2obobob2o50b2obobob2o$223b2obobob2o50b2obobob2o$226bobo
56bobo$226bobo56bobo$223b2obobob2o50b2obobob2o$223b2obobob2o50b2obobob
2o$226bobo56bobo$226bobo56bobo$207bo15b2obobob2o50b2obobob2o$208b2o13b
o2bobo2bo50bo2bobo2bo$207b2o3b3o9b2o3b2o52b2o3b2o$134b2o$133bo2bo$134b
2o$76b2o79b2o46b2o$50b2o4bo5b3o11b2o70bo4bo3b2o46b2o$16b2o31bobo3b2o5b
o68bo17b2ob2o$16bobo32bo3bobo5bo66bobo15b2o2bobo$16bo114bo$10b2o$9bobo
$11bo$44bo$44b2o$43bobo176bo58bo$221bobo56bobo$221bo2bo55bo2bo$222b2o
57b2o$284b3o$284bo$285bo!

2-gliders reduction:

Code: Select all

x = 206, y = 96, rule = B3/S23
120bo$121bo$119b3o10$86bobo$86b2o$87bo5$36bo5bobo35bo63bobo$37bo5b2o35b
obo62b2o$35b3o5bo36b2o63bo13$183bo$182bobo$183bo3$179b2o$178bo2bo$179b
2o$142bo$143b2o$142b2o7$181b2o$180b2o$182bo$144b2o$143bo2bo$144b2o3$141b
o$140bobo$141bo13$7b2o36bo5b3o125bo$6bobo35b2o5bo126b2o$8bo35bobo5bo125b
obo5$bo$b2o$obo10$203b3o$203bo$204bo!

xs40_0j9e0e9jz8lll5lll8zx101 in 10G from soup:

Code: Select all

x = 65, y = 69, rule = B3/S23
12bobo$13b2o$13bo41bo$53b2o$54b2o8$56bo$54b2o$55b2o2$12bo$10bobo$11b2o
2$2bo59bo$obo59bobo$b2o59b2o40$3b3o53b3o$5bo53bo$4bo3b3o49bo$10bo$9bo
48bo$57b2o$57bobo!

[I6_I6]

Anyone attempting a synthesis of xs72_qm0uh3ziu0v0s2qczcngf0v0vizxg2v0qmzx11 from this reaction from soup?

I think that'll be hard because the spark produced by the fleet + blinker synthesis gets in the way of making the block pair in time.
A glider can replace a couple of the blocks, but the spark would interfere with that too:

Code: Select all

x = 27, y = 31, rule = B3/S23
9bo$10b2o$9b2o$17b2o$17b2o3$20bo$2bo17bo$2bo17bo$2bo12b3o$15bo2bo$bo5b
2o6bo2bo$bo5b2o7b3o$bo2$25bo$8b3o7b2o5bo$8bo2bo6b2o5bo$8bo2bo$9b3o12bo
$6bo17bo$6bo17bo$6bo3$8b2o$8b2o$16b2o$15b2o$17bo!

So we either have to find a different fleet + blinker synthesis and/or a replacement for the 2 blocks.

EDIT (unrelated):
xs44_0ml1u0u1lmz643gv0vg346 in 15G, down from 25G:

Code: Select all

x = 118, y = 57, rule = B3/S23
37bobo$38b2o$38bo10$5bo$4bo111bo$4b3o108bo$bo113b3o$2bo$3o52b2o54b2o$
54bo2bo52bo2bo$55b2o53bobo$45bo65bo$46b2o$45b2o4bo$52b2o51b2o$51b2o14b
o32b2obo2bo$66bo32bobob3o$66b3o30bo8bo$100b9o$57bo$55bobo42b9o$56b2o
41bo8bo$49b2o48bobob3o$48bobo49b2obo2bo$50bo15bo38b2o$66bobo$66b2o$61b
3o47bo$63bo46bobo$62bo47bo2bo$53b3o55b2o$55bo$54bo60b3o$57b3o55bo$57bo
58bo$58bo10$38bo$38b2o$37bobo!

Sorry for the messy 2nd stage. I think there's a better way to get the pis in there, but what works works. Yes, the gliders can come from infinity.

EDIT 2:
Actually, the loaf used to make the pis can be moved to the first stage, and therefore so can the second beehive. It makes the second stage a lot less messy:

Code: Select all

x = 125, y = 53, rule = B3/S23
51bo$52b2o$51b2o8$7bo$6bo116bo$6b3o113bo$3bo118b3o$4bo$2b3o61b2o50b2o$
65bo2bo48bo2bo$66b2o49bobo$118bo3$18bo39bobo51b2o$18bobo38b2o46b2obo2b
o$18b2o39bo4bobo39bobob3o$65b2o39bo8bo$65bo9bo31b9o$75bobo$62b3o10b2o
30b9o$64bo5bo35bo8bo$63bo7bo34bobob3o$4bobo62b3o35b2obo2bo$5b2o67bo37b
2o$5bo3bobo61bobo$9b2o61bo2bo$10bo62b2o43bo$66b2o49bobo$65bo2bo48bo2bo
$66b2o50b2o2$b2o119b3o$obo119bo$2bo120bo9$51b2o$52b2o$51bo!

The cost stays the same.

[Chris857]

Anyone attempting a synthesis of xs72_qm0uh3ziu0v0s2qczcngf0v0vizxg2v0qmzx11 from this reaction from soup?

I think that'll be hard because the spark produced by the fleet + blinker synthesis gets in the way of making the block pair in time.
A glider can replace a couple of the blocks, but the spark would interfere with that too:

Code: Select all

x = 27, y = 31, rule = B3/S23
9bo$10b2o$9b2o$17b2o$17b2o3$20bo$2bo17bo$2bo17bo$2bo12b3o$15bo2bo$bo5b
2o6bo2bo$bo5b2o7b3o$bo2$25bo$8b3o7b2o5bo$8bo2bo6b2o5bo$8bo2bo$9b3o12bo
$6bo17bo$6bo17bo$6bo3$8b2o$8b2o$16b2o$15b2o$17bo!

So we either have to find a different fleet + blinker synthesis and/or a replacement for the 2 blocks.

26G

Code: Select all

x = 498, y = 83, rule = B3/S23
323bo$323bobo$323b2o$265bo$266bo$264b3o$444bo$445b2o$444b2o3$130bo$128b
obo$bo127b2o$2bo$3o448bobo40bo$452b2o38b2o$452bo40b2o$131bo$132bo$130b
3o2$176bo$174b2o$175b2o79bo$254bobo$255b2o3$472b2o$472b2o3$439bobo$127b
o149bo162b2o15bo14bo$127bo149bo162bo16bo14bo$127bo149bo179bo14bo2$40b
o85bo5b2o6bo135bo5b2o6bo165bo5b2o6bo$39bobo84bo5b2o5bobo134bo5b2o5bob
o164bo5b2o5bobo$39b2o85bo12b2o135bo12b2o165bo12b2o2$36b2o98b2o148b2o12b
o165b2o12bo$35bobo97bobo147bobo5b2o5bo164bobo5b2o5bo$36bo99bo149bo6b2o
5bo165bo6b2o5bo2$299bo164bo14bo$299bo164bo14bo16bo$299bo164bo14bo15b2o
$495bobo3$463b2o$463b2o3$320b2o$320bobo$2o318bo$b2o$o2$44b3o$44bo$45b
o$442b2o40bo$443b2o38b2o$174b3o265bo40bobo$174bo$46b2o127bo$46bobo$46b
o3$491b2o$490b2o$492bo$310b3o$310bo$311bo$252b2o$251bobo$253bo!

Possible way for Lake 4:

Code: Select all

x = 36, y = 36, rule = B3/S23
20b2o$20b2o$20b2o2b2o$23b3o4$20b3o$20bobo$20bobo$2b2o17bo$2b2o11b2o$3b
o11b2o$7b3o$3o4bo2bo$3o4b3o13b2o$23b2o3$11b2o$11b2o13b3o4b3o$25bo2bo4b
3o$26b3o$19b2o11bo$19b2o11b2o$14bo17b2o$13bobo$13bobo$13b3o4$10b3o$10b
2o2b2o$14b2o$14b2o!

Lake 4 in 40G

Code: Select all

x = 678, y = 142, rule = B3/S23
506bo$506bobo$506b2o$406bo$404bobo$405b2o103bo$508b2o$509b2o$491bo$489b
2o$490b2o$487bo$485b2o16bobo$387bobo96b2o15b2o$388b2o114bo$383bo4bo$384b
o$382b3o$394bo$395b2o$394b2o2$519bo$518bo$518b3o8$390bobo$391b2o$391b
o2$393bobo$394b2o$394bo10$2bo$obo$b2o3bobo$7b2o651bo$7bo651bo$659b3o3$
655b2o$655b2o$144bo57bo$143bo56bobo$143b3o55b2o$656b2o$655bo2bo$655bo
2bo$10b2o108b2o4b2o15bo76b2o4b2o222b2o4b2o195b2o4b2o$10b2o108b2o4b2o13b
2o77b2o4b2o222b2o4b2o194bo8bo$6b2o108b2o24b2o72b2o228b2o204bo8bo$6b2o
108b2o98b2o228b2o190bo11b2o10b2o$128b2o98b2o228b2o176bobo10bo14bo$128b
2o98b2o228b2o177b2o10bo14bo$647b2o16b2o4b2o$646bo20bo3b2o$446b2o193b2o
3bo20bo$446b2o193b2o4b2o16b2o$228b2o228b2o189bo14bo10b2o$228b2o228b2o
189bo14bo10bobo$224b2o222b2o4b2o194b2o10b2o11bo$224b2o222b2o4b2o196bo
8bo$652bo8bo$653b2o4b2o$655bo2bo$33b2o620bo2bo$33bobo620b2o$33bo3$657b
2o$657b2o2$228bo$227b2o423b3o$110b3o114bobo3b2o419bo$112bo120bobo417b
o$111bo121bo10$511bo$510b2o$510bobo2$514bo$513b2o$513bobo8$385b3o$387b
o$386bo2$510b2o$509b2o$511bo$521b3o$521bo$517bo4bo$401bo114b2o$401b2o
15b2o96bobo$400bobo16b2o$418bo$414b2o$415b2o$414bo$395b2o$396b2o$395b
o103b2o$499bobo$499bo$398b2o$397bobo$399bo!

[I6_I6]

We're close to a reduction for xs22_8o0uh3z6jo74, which currently costs 22G. The problem is, I don't know how to synthesize procrastinators:

Code: Select all

x = 270, y = 83, rule = B3/S23
213bo$212bo$212b3o5$182bobo$183b2o$183bo2$204bo$2bo200bo$obo200b3o$b2o
2$183bobo$184b2o$184bo$247b3o4bo$254bobo$245bo5bo2b2o$245bo5bo$245bo5b
o12$196bo$195bobo$39bo43bo111bobo$37bobo44bo101b2o8bo$38b2o42b3o18bo
72b2o6bobo$102bobo70bo2bo5bobo$102bobo70bo2bo5b2o11b2o69bo$103bo72b2o
21bo67bo$48bo147bo70b3o$49b2o146b2o$48b2o54b2o$82bo23bo156bo$82b2o19bo
158bobo$47b2o32bobo11b2o7b2o80b2o74b2o$48b2o45b2o89b2o$47bo2$37b2o$36b
obo$38bo6$255b2o$249bo2bo3bo$249b7o$247b2o$247bo2b4o$249b2o2bo2$176b2o
$175bobo$177bo$169b3o$171bo$170bo$188b3o$188bo$189bo5$137b3o$139bo$
138bo!

[PK22]

We're close to a reduction for xs22_8o0uh3z6jo74, which currently costs 22G. The problem is, I don't know how to synthesize procrastinators:

Code: Select all

rle

octo3g is excellent for this sort of thing. Here are a bunch of 3G syntheses, you should be able to find at least one that works:

Code: Select all

x = 3018, y = 33, rule = B3/S23
4bo67bo60bo58bo63bo63bo68bo78bo43bo95bo31bo67bobo57bo63bo65bo62bo64bo
62bo6bo57bo61bobo64bobo62bo60bo63bo63bo63bo67bo62bobo63bo57bobo68bo66b
o62bo55bo67bo64bo59bo64bo61bo65bo64bo61bo61bo63bo63bo63bo64bo68bo$5bo
64b2o61bobo57b2o62b2o62b2o65bo78bo45b2o94bo31b2o65b2o59b2o62b2o61bobo
63bo64bo62bo6bo57bo61b2o64b2o64bo60bo63bo6bo56bo63bo67bo61b2o65bo57b2o
69bo59bo3b2o64bo55bo67bo64bo58bobo62bobo60bo64bobo62bobo60bo61b2o62b2o
62b2o62b2o63bo68bo$3b3o65b2o57bo2b2o57b2o62b2o62b2o8bo57b3o76b3o42b2o
93b3o30b2o67bo58b2o62b2o63b2o61b3o62b3o60b3o4b3o55b3o61bo66bo62b3o58b
3o61b3o5bo55b3o61b3o65b3o62bo63b3o57bo62b3o3b3o60bo3b2o61b3o53b3o65b3o
62b3o58b2o63b2o59b3o4bo59b2o63b2o59b3o4bo55b2o3bo4bo53b2o3bo58b2o62b2o
62b3o66b3o$131bo199bo314bo255bo577b3o439bo64b3o448bo192bo61b2o3bobo56b
2o3b2o57bo4bo58bo$68bo60b3o64bo132b3o315b2o124b2o62b2o64bo637b2o62b2o
314bo255bo127bo63bo68b3o57bo63bo68b3o58bobo3b2o56bobo3bobo56b2o3bobo
56b2o3b2o$2bo66bo126b2o409b2o37b2o56bo67b2o62b2o63b3o248b3o64bo62bo63b
3o63bo3b3o57bo63b2o62b2o65b2o127b2o123b2o121b3o8bobo53bobo59b2o4b2o57b
o5b2o56bo63bo62bo65bo63bo61bo136bo57bobo3b2o56bobo3bobo53b3o66b3o$2b2o
63b3o125bobo410b2o95b2o67bo63bo122b3o60b3o4b3o60b3o55bo67bo62bo62bo64b
2o3bo58b2o65bo63bo58b2o3bobo56bo69bobo56bo65b2o59b2o63bo8b2o54b2o59bob
o4bobo54bobo5bobo53b3o61b3o61b2o63b3o61b3o61b2o263bo57bo68bo$bobo124b
2o200b2o275bo43b2o51b2o73b2o180bo62bo6bo62bo58bo64b3o60b3o63bo63bobo3b
o57bobo186bobo5bo57bo70bo57bo66bo57bobo62bo10bo55bo66bo57b2o5bo183bobo
189bobo320bo68bo$129b2o200b2o317b2o126b2o182bo62bo6bo62bo570bo61b3o61b
3o62b3o126bo$65bo62bo201bo321bo56b2o69bo52bo68b3o61b2o572b2o59b2o191bo
323b2o185bo63bo127bo63bo$b2o62b2o130bo510b2o123b2o67bo63bobo186bo61b3o
60b3o62bo194bobo57bobo190bo324bobo183b2o62b2o127b2o62b2o$obo61bobo129b
2o71bo115bo324bo121bobo68bo62bo187b2o61bo62bo64b2o193bo61bo128b2o127b
2o256bo185bobo61bobo125bobo61bobo$2bo193bobo71bo115bo767bobo61bo62bo
62bobo383bobo126bobo$268b3o113b3o1345bo128bo3$269b2o114b2o2562b2o57b2o
$270b2o114b2o2560b2o59b2o$269bo115bo2564bo57bo3$538bo$539bo$537b3o2$
449bo$450bo86b2o$448b3o87b2o$537bo39bo$577b2o$448b2o126bobo$449b2o$
448bo!

[I6_I6]

octo3g is excellent for this sort of thing. Here are a bunch of 3G syntheses, you should be able to find at least one that works:

Code: Select all

x = 3018, y = 33, rule = B3/S23
4bo67bo60bo58bo63bo63bo68bo78bo43bo95bo31bo67bobo57bo63bo65bo62bo64bo
62bo6bo57bo61bobo64bobo62bo60bo63bo63bo63bo67bo62bobo63bo57bobo68bo66b
o62bo55bo67bo64bo59bo64bo61bo65bo64bo61bo61bo63bo63bo63bo64bo68bo$5bo
64b2o61bobo57b2o62b2o62b2o65bo78bo45b2o94bo31b2o65b2o59b2o62b2o61bobo
63bo64bo62bo6bo57bo61b2o64b2o64bo60bo63bo6bo56bo63bo67bo61b2o65bo57b2o,
69bo59bo3b2o64bo55bo67bo64bo58bobo62bobo60bo64bobo62bobo60bo61b2o62b2o
62b2o62b2o63bo68bo$3b3o65b2o57bo2b2o57b2o62b2o62b2o8bo57b3o76b3o42b2o
93b3o30b2o67bo58b2o62b2o63b2o61b3o62b3o60b3o4b3o55b3o61bo66bo62b3o58b
3o61b3o5bo55b3o61b3o65b3o62bo63b3o57bo62b3o3b3o60bo3b2o61b3o53b3o65b3o
62b3o58b2o63b2o59b3o4bo59b2o63b2o59b3o4bo55b2o3bo4bo53b2o3bo58b2o62b2o
62b3o66b3o$131bo199bo314bo255bo577b3o439bo64b3o448bo192bo61b2o3bobo56b
2o3b2o57bo4bo58bo$68bo60b3o64bo132b3o315b2o124b2o62b2o64bo637b2o62b2o
314bo255bo127bo63bo68b3o57bo63bo68b3o58bobo3b2o56bobo3bobo56b2o3bobo
56b2o3b2o$2bo66bo126b2o409b2o37b2o56bo67b2o62b2o63b3o248b3o64bo62bo63b
3o63bo3b3o57bo63b2o62b2o65b2o127b2o123b2o121b3o8bobo53bobo59b2o4b2o57b
o5b2o56bo63bo62bo65bo63bo61bo136bo57bobo3b2o56bobo3bobo53b3o66b3o$2b2o
63b3o125bobo410b2o95b2o67bo63bo122b3o60b3o4b3o60b3o55bo67bo62bo62bo64b
2o3bo58b2o65bo63bo58b2o3bobo56bo69bobo56bo65b2o59b2o63bo8b2o54b2o59bob
o4bobo54bobo5bobo53b3o61b3o61b2o63b3o61b3o61b2o263bo57bo68bo$bobo124b
2o200b2o275bo43b2o51b2o73b2o180bo62bo6bo62bo58bo64b3o60b3o63bo63bobo3b
o57bobo186bobo5bo57bo70bo57bo66bo57bobo62bo10bo55bo66bo57b2o5bo183bobo
189bobo320bo68bo$129b2o200b2o317b2o126b2o182bo62bo6bo62bo570bo61b3o61b
3o62b3o126bo$65bo62bo201bo321bo56b2o69bo52bo68b3o61b2o572b2o59b2o191bo
323b2o185bo63bo127bo63bo$b2o62b2o130bo510b2o123b2o67bo63bobo186bo61b3o
60b3o62bo194bobo57bobo190bo324bobo183b2o62b2o127b2o62b2o$obo61bobo129b
2o71bo115bo324bo121bobo68bo62bo187b2o61bo62bo64b2o193bo61bo128b2o127b
2o256bo185bobo61bobo125bobo61bobo$2bo193bobo71bo115bo767bobo61bo62bo
62bobo383bobo126bobo$268b3o113b3o1345bo128bo3$269b2o114b2o2562b2o57b2o
$270b2o114b2o2560b2o59b2o$269bo115bo2564bo57bo3$538bo$539bo$537b3o2$
449bo$450bo86b2o$448b3o87b2o$537bo39bo$577b2o$448b2o126bobo$449b2o$
448bo!

Wow, thanks, that's a lot of syntheses!
So that's xs22_8o0uh3z6jo74 completed, in 20G:

Code: Select all

x = 273, y = 89, rule = B3/S23
219bo$218bo$218b3o5$182bobo$183b2o$183bo2$210bo$209bo$209b3o2$2bo$obo
180bobo$b2o181b2o$184bo4$250b3o4bo$257bobo$248bo5bo2b2o$248bo5bo$248bo
5bo11$190bo$190bobo6bo$190b2o6bobo$39bo43bo114bobo$37bobo44bo114bo$38b
2o42b3o18bo75b2o6bo$102bobo73bo2bo6bo$102bobo73bo2bo4b3o11b2o69bo$103b
o75b2o21bo67bo$48bo141b3o6bo70b3o$49b2o139bo9b2o$48b2o54b2o85bo$82bo
23bo159bo$82b2o19bo161bobo$47b2o32bobo11b2o7b2o83b2o74b2o$48b2o45b2o
92b2o$47bo2$37b2o$36bobo$38bo6$258b2o$252bo2bo3bo$252b7o$250b2o$250bo
2b4o$252b2o2bo5$176b2o$175bobo$177bo$169b3o$171bo$170bo$194b3o$194bo$
195bo5$137b3o$139bo$138bo!

There isn't a wiki page on octo3g, so could you explain it to me? Is it a website? Is it a database?