Thread For Requesting Help

[Jormungant]

Well, I fear you might need to elaborate, since the most compact would just be to put blocks in the glider path and count how many remains to know that number, but I assume you are aware of that one... Anyways, so I am just depends if you want to have a mechanism that is not interfering with the signal and is allowed to delay the glider, or if you want a way to reset the counting mechanism and "fetch" the count it currently has. If it is the latter, this bit is compact to achieve to count up to 9:

Code: Select all

x = 374, y = 358, rule = LifeHistory
33$339.C$339.C.C$339.2C16$321.C$321.C.C$321.2C16$303.C$303.C.C$303.2C
16$285.C$285.C.C$285.2C3$280.B13$267.C$267.C.C$267.2C16$249.C$249.C.C
$249.2C16$231.C$231.C.C$211.4B16.2C$210.4B4.2A$202.2A5.4B4.B2AB$194.
2A5.B2A2B2.4B6.2B6.B$195.A6.4B.4B6.2B6.2B$195.A.AB.10B5.5B3.4B$196.2A
B.9B2.B2.7B2.4B$198.4B3D16B.4B$198.4BD4B2D16B$198.4B3D2B2D15B$198.26B
$197.12B.14B$197.14B.12B$197.26B$197.15B2C2B3D4B$196.16B2C4BD4B$195.
4B.16B3D4B$194.4B2.7B2.B2.9B.B2A$194.4B3.5B5.10B.BA.A$194.2B6.2B6.4B.
4B6.A$194.B6.2B6.4B2.2B2AB5.2A$200.B2AB4.4B5.2A$189.4B8.2A4.4B$188.4B
4.2A$180.2A5.4B4.B2AB$172.2A5.B2A2B2.4B6.2B6.B$173.A6.4B.4B6.2B6.2B$
173.A.AB.10B5.5B3.4B$174.2AB.9B2.B2.7B2.4B$176.4B3D16B.4B$176.4BD4B2D
16B$176.4B3D2B2D15B$176.26B$175.12B.14B$175.14B.12B$175.26B$175.15B2C
2B3D4B$174.16B2C4BD4B$173.4B.16B3D4B$172.4B2.7B2.B2.9B.B2A$172.4B3.5B
5.10B.BA.A$172.2B6.2B6.4B.4B6.A$172.B6.2B6.4B2.2B2AB5.2A$178.B2AB4.4B
5.2A$167.4B8.2A4.4B$166.4B4.2A$158.2A5.4B4.B2AB$150.2A5.B2A2B2.4B6.2B
6.B$151.A6.4B.4B6.2B6.2B$151.A.AB.10B5.5B3.4B$152.2AB.9B2.B2.7B2.4B$
154.4B3D16B.4B$154.4BD4B2D16B$154.4B3D2B2D15B$154.26B$153.12B.14B$
153.14B.12B$153.26B$153.15B2C2B3D4B$152.16B2C4BD4B$151.4B.16B3D4B$
150.4B2.7B2.B2.9B.B2A$150.4B3.5B5.10B.BA.A$150.2B6.2B6.4B.4B6.A$150.B
6.2B6.4B2.2B2AB5.2A$156.B2AB4.4B5.2A$145.4B8.2A4.4B$144.4B4.2A$136.2A
5.4B4.B2AB$128.2A5.B2A2B2.4B6.2B6.B$129.A6.4B.4B6.2B6.2B$129.A.AB.10B
5.5B3.4B$130.2AB.9B2.B2.7B2.4B$132.4B3D16B.4B$132.4BD4B2D16B$132.4B3D
2B2D15B$132.26B$131.12B.14B$131.14B.12B$131.26B$131.15B2C2B3D4B$130.
16B2C4BD4B$129.4B.16B3D4B$128.4B2.7B2.B2.9B.B2A$128.4B3.5B5.10B.BA.A$
128.2B6.2B6.4B.4B6.A$128.B6.2B6.4B2.2B2AB5.2A$134.B2AB4.4B5.2A$123.4B
8.2A4.4B$122.4B4.2A$114.2A5.4B4.B2AB$106.2A5.B2A2B2.4B6.2B6.B$107.A6.
4B.4B6.2B6.2B$107.A.AB.10B5.5B3.4B$108.2AB.9B2.B2.7B2.4B$110.4B3D16B.
4B$110.4BD4B2D16B$110.4B3D2B2D15B$110.26B$109.12B.14B$109.14B.12B$
109.26B$109.15B2C2B3D4B$108.16B2C4BD4B$107.4B.16B3D4B$106.4B2.7B2.B2.
9B.B2A$106.4B3.5B5.10B.BA.A$106.2B6.2B6.4B.4B6.A$106.B6.2B6.4B2.2B2AB
5.2A$112.B2AB4.4B5.2A$101.4B8.2A4.4B$100.4B4.2A$92.2A5.4B4.B2AB$84.2A
5.B2A2B2.4B6.2B6.B$85.A6.4B.4B6.2B6.2B$85.A.AB.10B5.5B3.4B$86.2AB.9B
2.B2.7B2.4B$88.4B3D16B.4B$88.4BD4B2D16B$88.4B3D2B2D15B$88.26B$87.12B.
14B$87.14B.12B$87.26B$87.15B2C2B3D4B$86.16B2C4BD4B$85.4B.16B3D4B$84.
4B2.7B2.B2.9B.B2A$84.4B3.5B5.10B.BA.A$84.2B6.2B6.4B.4B6.A$84.B6.2B6.
4B2.2B2AB5.2A$90.B2AB4.4B5.2A$79.4B8.2A4.4B$78.4B4.2A$70.2A5.4B4.B2AB
$62.2A5.B2A2B2.4B6.2B6.B$63.A6.4B.4B6.2B6.2B$63.A.AB.10B5.5B3.4B$64.
2AB.9B2.B2.7B2.4B$66.4B3D16B.4B$66.4BD4B2D16B$66.4B3D2B2D15B$66.26B$
65.12B.14B$65.14B.12B$65.26B$65.15B2C2B3D4B$64.16B2C4BD4B$63.4B.16B3D
4B$62.4B2.7B2.B2.9B.B2A$62.4B3.5B5.10B.BA.A$62.2B6.2B6.4B.4B6.A$62.B
6.2B6.4B2.2B2AB5.2A$68.B2AB4.4B5.2A$57.4B8.2A4.4B$56.4B4.2A$48.2A5.4B
4.B2AB$40.2A5.B2A2B2.4B6.2B6.B$41.A6.4B.4B6.2B6.2B$41.A.AB.10B5.5B3.
4B$42.2AB.9B2.B2.7B2.4B$44.4B3D16B.4B$44.4BD4B2D16B$44.4B3D2B2D15B$
44.26B$43.12B.14B$43.14B.12B$43.26B$43.15B2C2B3D4B$42.16B2C4BD4B$41.
4B.16B3D4B$40.4B2.7B2.B2.9B.B2A$40.4B3.5B5.10B.BA.A$40.2B6.2B6.4B.4B
6.A$40.B6.2B6.4B2.2B2AB5.2A$46.B2AB4.4B5.2A$35.4B8.2A4.4B$34.4B4.2A$
26.2A5.4B4.B2AB$18.2A5.B2A2B2.4B6.2B6.B$19.A6.4B.4B6.2B6.2B$19.A.AB.
10B5.5B3.4B$20.2AB.9B2.B2.7B2.4B$22.4B3D16B.4B$22.4BD4B2D16B$22.4B3D
2B2D15B$22.26B$21.12B.14B$21.14B.12B$21.26B$21.15B2C2B3D4B$20.16B2C4B
D4B$19.4B.16B3D4B$18.4B2.7B2.B2.9B.B2A$18.4B3.5B5.10B.BA.A$18.2B6.2B
6.4B.4B6.A$33.4B2.2B2AB5.2A$32.4B5.2A$31.4B3$10.B17.B$9.2B17.B!

by sending gliders in the opposite direction, you can retrieve how many blocks were displaced.

[TYCF]

Is there a herschel to two gliders converter that can be used here ?(One glider is to remove the block)

Code: Select all

x = 46, y = 25, rule = LifeHistory
14.D26.2A$41.A$39.A.A$.18B20.2A$.16B4A$.15BA3BA$.19BA$.15BA2BA$.3B9.B
$.6B2AB.4BA$.6B2A5BA2BA25.D$.BA4B2A9BA24.D.D$.3A4BAB2A6BA24.3D$2A6B5A
4B2A26.D$.3B2A3B3A4BA$2.9B2.2A$3.2B3.B$.18B$.9B2A5B4A$.7B2AB2A3BA3BA$
.7B4A8BA$.8B2A5BA2BA22.2A$42.A.A$44.A$44.2A!

[squareroot12621]

Is there a herschel to two gliders converter that can be used here ?(One glider is to remove the block)

Code: Select all

x = 46, y = 25, rule = LifeHistory
14.D26.2A$41.A$39.A.A$.18B20.2A$.16B4A$.15BA3BA$.19BA$.15BA2BA$.3B9.B
$.6B2AB.4BA$.6B2A5BA2BA25.D$.BA4B2A9BA24.D.D$.3A4BAB2A6BA24.3D$2A6B5A
4B2A26.D$.3B2A3B3A4BA$2.9B2.2A$3.2B3.B$.18B$.9B2A5B4A$.7B2AB2A3BA3BA$
.7B4A8BA$.8B2A5BA2BA22.2A$42.A.A$44.A$44.2A!

You can use a rectifier here, and you even get an entire Herschel for free!

Code: Select all

x = 47, y = 65, rule = LifeHistory
42.2A$42.A$40.A.A$40.2A$18.4A$17.A3.A$21.A$17.A2.A2$8.2A6.A$8.2A5.A2.
A25.D$3.A4.2A9.A24.D.D$2.3A4.A.2A6.A24.3D$.2A6.5A4.2A26.D$5.2A3.3A4.A
$14.2A3$11.2A5.4A$9.2A.2A3.A3.A$9.4A8.A$10.2A5.A2.A22.2A$25.3D15.A.A$
27.D17.A$11.A14.D18.2A$11.3A17.D$14.A15.D$13.2A15.3D6$4.A$4.3A23.2A$7.
A21.A2.A$6.2A22.2A8$16.2A$16.2A9$8.2A$3.2A2.A2.A$3.A4.A.A$2A.A5.A$.A.
A.2A$A2.A2.A$2A2.A4.A$5.5A2$4.A.2A$4.2A.A!

[unname4798]

Is there a herschel to two gliders converter that can be used here ?(One glider is to remove the block)

Code: Select all

x = 46, y = 25, rule = LifeHistory
14.D26.2A$41.A$39.A.A$.18B20.2A$.16B4A$.15BA3BA$.19BA$.15BA2BA$.3B9.B
$.6B2AB.4BA$.6B2A5BA2BA25.D$.BA4B2A9BA24.D.D$.3A4BAB2A6BA24.3D$2A6B5A
4B2A26.D$.3B2A3B3A4BA$2.9B2.2A$3.2B3.B$.18B$.9B2A5B4A$.7B2AB2A3BA3BA$
.7B4A8BA$.8B2A5BA2BA22.2A$42.A.A$44.A$44.2A!

You can use a rectifier here, and you even get an entire Herschel for free!

Code: Select all

x = 47, y = 65, rule = LifeHistory
42.2A$42.A$40.A.A$40.2A$18.4A$17.A3.A$21.A$17.A2.A2$8.2A6.A$8.2A5.A2.
A25.D$3.A4.2A9.A24.D.D$2.3A4.A.2A6.A24.3D$.2A6.5A4.2A26.D$5.2A3.3A4.A
$14.2A3$11.2A5.4A$9.2A.2A3.A3.A$9.4A8.A$10.2A5.A2.A22.2A$25.3D15.A.A$
27.D17.A$11.A14.D18.2A$11.3A17.D$14.A15.D$13.2A15.3D6$4.A$4.3A23.2A$7.
A21.A2.A$6.2A22.2A8$16.2A$16.2A9$8.2A$3.2A2.A2.A$3.A4.A.A$2A.A5.A$.A.
A.2A$A2.A2.A$2A2.A4.A$5.5A2$4.A.2A$4.2A.A!

Ecologist to glider:

Code: Select all

x = 57, y = 74, rule = B3/S23Investigator
55.E$54.E$53.E2$51.CD2.DE$53.DE4$42.2A$42.A$40.A.A$40.2A$18.4A$17.A3.
A$21.A$17.A2.A$54.E$8.2A6.A$8.2A5.A2.A25.A$3.A4.2A9.A24.A$2.3A4.A.2A6.
A24.3A$.2A6.5A4.2A26.A$5.2A3.3A4.A$14.2A3$11.2A5.4A$9.2A.2A3.A3.A$9.4A
8.A$10.2A5.A2.A22.2A$25.2A16.A.A$27.A17.A$11.A14.A18.2A$11.3A17.A$14.
A15.A$13.2A16.2A6$4.A$4.3A23.2A$7.A21.A2.A$6.2A22.2A8$16.2A$16.2A9$8.
2A$3.2A2.A2.A$3.A4.A.A$2A.A5.A$.A.A.2A$A2.A2.A$2A2.A4.A$5.5A2$4.A.2A$
4.2A.A!

Edit: Reduction:

Code: Select all

x = 56, y = 70, rule = B3/S23Investigator
54.E$53.E$52.E2$50.CD2.DE$52.DE6$39.DE$39.AD$17.4A$16.A3.A$20.A$16.A2.
A$53.E$7.2A6.A$7.2A5.A2.A$2.A4.2A9.A$.3A4.A.2A6.A$2A6.5A4.2A$4.2A3.3A
4.A$13.2A3$10.2A5.4A$8.2A.2A3.A3.A$8.4A8.A$9.2A5.A2.A22.AD$42.DE4$12.
ED$12.DA7$29.2A$5.ED21.A2.A$5.DA22.2A8$15.2A$15.2A9$7.2A$6.A2.A$7.A.A
$8.A$3.E2A$3.EHA$3.3E!

[confocaloid]

Some possible connections in B3/S23, using components from ECC:

Code: Select all

x = 183, y = 146, rule = LifeHistory
54.A$54.3A$57.A$56.2A$42.2A$42.A$40.A.A$40.2A$18.4A$17.A3.A$21.A$17.A
2.A68.A$88.A.A$8.2A6.A71.A.A$8.2A5.A2.A27.D42.A$3.A4.2A9.A26.D.D29.D$
2.3A4.A.2A6.A26.3D29.D.D$.2A6.5A4.2A28.D29.3D$5.2A3.3A4.A62.D$14.2A3$
11.2A5.4A$9.2A.2A3.A3.A49.2A$9.4A8.A43.2A5.A62.2A$10.2A5.A2.A22.2A20.
A.A.3A62.A2.A$43.A.A12.2A7.A.A62.A2.A.A$45.A12.2A7.2A63.4A.2A$11.A33.
2A91.A$11.3A120.4A$14.A119.A$13.2A102.2A17.2A$118.A18.A$118.A.A16.A.A
$119.2A17.2A3$4.A$4.3A23.2A$7.A21.A2.A$6.2A22.2A$112.2A$112.A$110.A.A
$110.2A$78.4A$77.A3.A$81.A$16.2A59.A2.A$16.2A$68.2A6.A$68.2A5.A2.A37.
D18.A$63.A4.2A9.A36.D.D15.A.A$62.3A4.A.2A6.A36.3D16.A$61.2A6.5A4.2A
38.D$65.2A3.3A4.A50.2A$74.2A50.A2.A2.2A$125.A.2A3.A.A$8.2A115.A8.A$3.
2A2.A2.A60.2A5.4A42.2A8.2A$3.A4.A.A58.2A.2A3.A3.A$2A.A5.A59.4A8.A$.A.
A.2A63.2A5.A2.A32.2A$A2.A2.A106.A.A$2A2.A4.A105.A$5.5A71.A33.2A$81.3A
$4.A.2A76.A$4.2A.A75.2A6$74.A$74.3A23.2A$77.A21.A2.A$76.2A22.2A2$159.
2A6.A$154.2A3.2A6.3A$155.A14.A$155.A.4A8.2A$153.A.A.A3.A$153.2A5.2A$
86.2A33.4A56.2A$86.2A32.A3.A56.2A$124.A$120.A2.A2$111.2A6.A$111.2A5.A
2.A37.D$106.A4.2A9.A36.D.D$105.3A4.A.2A6.A36.3D$104.2A6.5A4.2A38.D11.
2A$78.2A28.2A3.3A4.A52.A$73.2A2.A2.A36.2A55.3A$73.A4.A.A95.A$70.2A.A
5.A$71.A.A.2A37.2A5.4A$70.A2.A2.A35.2A.2A3.A3.A$70.2A2.A4.A32.4A8.A$
75.5A33.2A5.A2.A32.2A$156.A.A$74.A.2A80.A$74.2A.A46.A33.2A$124.3A$
127.A$126.2A6$117.A$117.3A23.2A$120.A21.A2.A$119.2A22.2A8$129.2A$129.
2A9$121.2A$116.2A2.A2.A$116.A4.A.A$113.2A.A5.A$114.A.A.2A$113.A2.A2.A
$113.2A2.A4.A$118.5A2$117.A.2A$117.2A.A!

[confocaloid]

Is there a synthesis component for this?

Code: Select all

x = 40, y = 10, rule = B3/S23
4b2ob2o13bo8b2ob2ob2o$4b2obobo20bobob2obobo$8b2o13bo6b2o6b2o2$2o6b2o4b
obobobobobo5b2o6b2o$2o6b2o20b2o6b2o$23bo$2o6b2o20b2o6b2o$obob2obobo12b
o7bobob2obobo$b2ob2ob2o22b2ob2ob2o!

[otismo]

A ten-cell line in a 16X16 Torus starts to make a PDC

but then because of the 16-wide torroidal limit

you get a P6 oscillator -

can a still life work instead of a torus ?

Thank You !

Code: Select all

x = 10, y = 1, rule = B3/S23:T16,16
10o!

[confocaloid]

It can be supported with oscillators:

Code: Select all

#C 6.6.0 [NDE 11/21/94]
#C       The wick (left end) was found by AF (8/19/94);
#C       NDE stabilized it; the variations are by DRH (11/22&27/94)
x = 107, y = 21, rule = B3/S23
2b2o100b2o$2b2o100b2o$104b2o$105bo$b3o100bobo$b2obo2b2o90b3obobo$3b2o
2b2o90b4obo$3b2o98bo2$8bobo2bo4bo2bo4bo2bo28bo2bo4bo2bo7bo4bo2bo4bo2bo
4bo$8b3o2b6o2b6o2b6o2b6o2b6o2b6o2b6o2b6o3b4o4b4o4b4o$10bo2bo4bo2bo4bo
2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo$4bo2bo$4bo95b4o
$3bo4bo90bo4bo$2bobo2b2o90bo3bobo$2obo96bo3bobo$106bo$106bo$o2bo99bo2b
o$2b2o100b2o!

[hotcrystal0]

It can be supported with oscillators:

Code: Select all

#C 6.6.0 [NDE 11/21/94]
#C       The wick (left end) was found by AF (8/19/94);
#C       NDE stabilized it; the variations are by DRH (11/22&27/94)
x = 107, y = 21, rule = B3/S23
2b2o100b2o$2b2o100b2o$104b2o$105bo$b3o100bobo$b2obo2b2o90b3obobo$3b2o
2b2o90b4obo$3b2o98bo2$8bobo2bo4bo2bo4bo2bo28bo2bo4bo2bo7bo4bo2bo4bo2bo
4bo$8b3o2b6o2b6o2b6o2b6o2b6o2b6o2b6o2b6o3b4o4b4o4b4o$10bo2bo4bo2bo4bo
2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo$4bo2bo$4bo95b4o
$3bo4bo90bo4bo$2bobo2b2o90bo3bobo$2obo96bo3bobo$106bo$106bo$o2bo99bo2b
o$2b2o100b2o!

Or serve as a pentadecathlon rephaser:

Here's a period-21 pentadecathlon hassler of sorts. The base p21 hassling reaction was found by Hotcrystal0 (in Symbiosis) and completed in CGOL by me.

Code: Select all

x = 54, y = 22, rule = B3/S23
6b2o38b2o$6bobo36bobo$8bo6bo22bo6bo$3bo2bob2o5bo3bobo2bob2obo2bobo3bo
5b2obo2bo$3b4o7bo6bo2bo4bo2bo6bo7b4o$7b2o2b2o2bo3bobo2bob2obo2bobo3bo
2b2o2b2o$3b4o8bo22bo8b4o$2bo3bob2o34b2obo3bo$o2b2obobo5bo24bo5bobob2o
2bo$2obo4bo4bobo22bobo4bo4bob2o$3bobobob2o2b2o24b2o2b2obobobo$3bobobob
o34bobobobo$b2o4bobo34bobo4b2o$2bob2obo2b2o30b2o2bob2obo$2bobo3bobo32b
obo3bobo$b2o2bob2obo32bob2obo2b2o$2bobo4bo34bo4bobo$2bo3b3o36b3o3bo$3b
2obo40bob2o$8b3o32b3o$b7o2bo32bo2b7o$bo2bo2bo38bo2bo2bo!

[Goldtiger997]

Is there a synthesis component for this?

Code: Select all

x = 40, y = 10, rule = B3/S23
4b2ob2o13bo8b2ob2ob2o$4b2obobo20bobob2obobo$8b2o13bo6b2o6b2o2$2o6b2o4b
obobobobobo5b2o6b2o$2o6b2o20b2o6b2o$23bo$2o6b2o20b2o6b2o$obob2obobo12b
o7bobob2obobo$b2ob2ob2o22b2ob2ob2o!

Yes, here's one (in two stages) found with QuFince:

Code: Select all

x = 85, y = 26, rule = B3/S23
63bo$64b2o16bo$63b2o4bo10b2o$2bo6bobo55bobo11b2o$obo7b2o56b2o$b2o7bo6$
75b2o$75b2o3$19b2ob2o55b2ob2o$19b2obobo50b2o2b2obobo$23b2o50b2o6b2o$7b
2o$8b2o5b2o6b2o50b2o6b2o$7bo7b2o6b2o50b2o6b2o2$15b2o6b2o50b2o6b2o$2b3o
10bobob2obobo50bobob2obobo$4bo11b2ob2ob2o52b2ob2ob2o$3bo!

[confocaloid]

How to construct these still lives (and/or their extended versions)?

Code: Select all

x = 31, y = 14, rule = B3/S23
2ob2ob2ob2o9b2ob2ob2ob2o$2obo3bob2o9b2obo3bobo$3bo3bo15bo3bobo$3b2ob2o
15b2ob2ob2o7$2ob2ob2o12b2ob2ob2ob2o$2obo3bo13bobo3bobo$3bo3bob2o10bobo
3bobo$3b2ob2ob2o9b2ob2ob2ob2o!

[Tawal]

Is there a way to get the red Beehive from that LoM ?

Code: Select all

x = 10, y = 11, rule = LifeHistory
3.3A$3.A.A$3.A2.A$4.A.A$4.3A4$.2D$D2.D$.2D!

Thanking you very much …

[vilc]

Can you be more precise about the context, please ? Do you need a conduit or some specific kind of reaction ?
I don't know if it helps, but here are some moderately dirty "solutions" using gliders :

Code: Select all

x = 166, y = 39, rule = LifeHistory
33.A$34.A$32.3A$81.A$82.A28.A$80.3A29.A32.A$39.A70.3A33.A$A.A37.A103.
3A$.2A35.3A$.A5$7.3A34.3A$7.A.A34.A.A69.3A$7.A2.A33.A2.A34.3A31.A.A
29.3A$8.A.A34.A.A34.A.A31.A2.A28.A.A$8.3A34.3A34.A2.A31.A.A28.A2.A$
83.A.A31.3A29.A.A$83.3A63.3A2$5.2D35.2D$4.D2.D33.D2.D69.2D$5.2D35.2D
36.2D31.D2.D29.2D$79.D2.D31.2D29.D2.D$80.2D64.2D9$132.A$98.A32.2A31.A
$97.2A32.A.A29.2A$97.A.A63.A.A!

[Tawal]

You're alright. I need to be more precise

Is there a way to get the red Beehive from that LoM with stable or periodic catalysts ?

Code: Select all

x = 10, y = 11, rule = LifeHistory
3.3A$3.A.A$3.A2.A$4.A.A$4.3A4$.2D$D2.D$.2D!

I would be very grateful to you.

[vilc]

How to construct these still lives (and/or their extended versions)?

Code: Select all

x = 31, y = 14, rule = B3/S23
2ob2ob2ob2o9b2ob2ob2ob2o$2obo3bob2o9b2obo3bobo$3bo3bo15bo3bobo$3b2ob2o
15b2ob2ob2o7$2ob2ob2o12b2ob2ob2ob2o$2obo3bo13bobo3bobo$3bo3bob2o10bobo
3bobo$3b2ob2ob2o9b2ob2ob2ob2o!

I solved the whole family (below is a related component that adds an eater on table instead of a block on table) :

Code: Select all

x = 399, y = 195, rule = B3/S23
16$85bo$86b2o$85b2o9$107bobo$108b2o4bo85bo$108bo3bobo86b2o$113b2o85b2o
5$122bo14bo69bo$123b2o10b2o70bo$122b2o12b2o62bo6bo$200bo$200bo8b3o$
266bobo$26bobo76bobo99bo58b2o$27b2o77b2o99bo59bo$27bo78bo100bo57bo$
266bo$28bo235b3o$29bo4b2ob2ob2ob2ob2ob2o218b2ob2ob2ob2ob2ob2ob2ob2o$
27b3o5bobo3bobo3bobo144b2ob2ob2ob2ob2ob2ob2ob2o52b2obo3bobo3bobo3bobo
35b2ob2ob2ob2ob2ob2ob2ob2o$35bobo3bobo3bobo58bo85b2obo3bobo3bobo3bobo
49bo6bo3bobo3bobo3bobo34bobobo3bobo3bobo3bobo$34b2ob2ob2ob2ob2ob2o58bo
12b2o2b2ob2ob2ob2ob2ob2o54bo3bobo3bobo3bobo49b2o5b2ob2ob2ob2ob2ob2ob2o
34bo2bo3bobo3bobo3bobo$29bo77b3o12bo4bobo3bobo3bobo55b2ob2ob2ob2ob2ob
2ob2o47bobo62b2ob2ob2ob2ob2ob2ob2o$24b2o3b2o92bo3bobo3bobo3bobo$23bobo
2bobo91b2o2b2ob2ob2ob2ob2ob2o181b3o$25bo79b3o213bo2bo$107bo214bo2bo$
106bo213b3o14$134b3o$134bo$135bo2$111b3o26b2o$113bo25b2o$112bo28bo39$
120bo$121bo79bo$119b3o2bobo75b2o$125b2o74b2o$125bo4$208bo$135bo4bo67bo
$133bobo4bobo58bo6bo$134b2o4b2o59bo$201bo8b3o2$208bo$208bo$208bo3$106b
o8bo14b2o2b2ob2ob2ob2ob2ob2o$107bo8bo13bo4bobo3bobo3bobo46bob2ob2ob2ob
2ob2ob2ob2o$105b3o6b3o14bo3bobo3bobo3bobo44b3obo3bobo3bobo3bobo$130b2o
2b2ob2ob2ob2ob2ob2o42bo4bo3bobo3bobo3bobo$193b2o3b2ob2ob2ob2ob2ob2ob2o
5$114b2o4b2o$115b2o4b2o$114bo5bo5$139b2o$138b2o$140bo2$123b2o19b2o$
124b2o18bobo$123bo20bo!

I'm about to complete a proof that all width-4 still-lifes are synthesisable.

[Chris857]

How to construct these still lives (and/or their extended versions)?

Code: Select all

x = 31, y = 14, rule = B3/S23
2ob2ob2ob2o9b2ob2ob2ob2o$2obo3bob2o9b2obo3bobo$3bo3bo15bo3bobo$3b2ob2o
15b2ob2ob2o7$2ob2ob2o12b2ob2ob2ob2o$2obo3bo13bobo3bobo$3bo3bob2o10bobo
3bobo$3b2ob2ob2o9b2ob2ob2ob2o!

I solved the whole family (below is a related component that adds an eater on table instead of a block on table) :

I'm about to complete a proof that all width-4 still-lifes are synthesisable.

I went through trying to synthesize end combinations of cap, block, table, eater, and boat (didn't try so far as snake, shillelagh, ship, or long snake/very long snake, etc. in all their combos). There were two small ones involving two eaters or an eater and block which I couldn't manage (your posted technique blew up on them). Do we know a synth for them?

Code: Select all

x = 15, y = 34, rule = B3/S23
3bob2ob2o3b2o$b3obo3bo4bo$o4bo3bob3o$2o3b2ob2obo27$3bob2ob2o$b3obo3bo
$o4bo3bob2o$2o3b2ob2ob2o!

Code: Select all

x = 1821, y = 1020, rule = LifeHistory
192.9D$191.D9.3D$190.D13.2D$190.D15.D$191.D15.2D$191.D16.D$191.D17.D$
191.2D16.D$192.D16.D$209.D$209.D$209.D$209.D$208.D$208.D$208.D$207.D$
207.D$206.D$205.D$204.D$202.2D$200.2D$200.D$198.2D$198.D$197.D$197.D$
197.D$197.D$198.D$198.D3$394.A20.A344.A20.A494.A20.A$392.A.A18.2A343.
A.A18.2A493.A.A18.2A$195.4D194.2A19.2A343.2A19.2A493.2A19.2A$195.D3.D
$195.D4.D197.A365.A515.A$195.D4.2D197.2A364.2A514.2A$195.2D4.D196.2A364.
2A514.2A$196.2D3.D$197.D.3D$197.3D2$418.A5.A359.A5.A509.A5.A$416.2A4.
2A358.2A4.2A508.2A4.2A$417.2A4.2A358.2A4.2A508.2A4.2A2$303.A365.A515.
A$298.A.A2.A.A358.A.A2.A.A508.A.A2.A.A$298.2A3.2A359.2A3.2A509.2A3.2A
$299.A365.A515.A$195.D.2D.2D3.2D78.A.2A.2A.2A100.A.2A.2A.2A2.2A106.A.
2A.2A.2A.2A3.2A112.A.2A.2A.2A.2A.2A94.A.2A.2A.2A.2A.2A2.2A100.A.2A.2A
.2A.2A.2A.2A3.2A256.A.2A.2A.2A.2A.2A.2A.2A88.A.2A.2A.2A.2A.2A.2A.2A2.
2A99.A.2A.2A.2A.2A.2A.2A.2A.2A3.2A$193.3D.D3.D4.D76.3A.A3.A.A99.3A.A3.
A.A3.A14.3A6.3A79.3A.A3.A.A3.A4.A110.3A.A3.A.A3.A.A93.3A.A3.A.A3.A.A3.
A14.3A6.3A73.3A.A3.A.A3.A.A3.A4.A254.3A.A3.A.A3.A.A3.A.A87.3A.A3.A.A3.
A.A3.A.A3.A14.3A6.3A72.3A.A3.A.A3.A.A3.A.A3.A4.A$192.D4.D3.D.3D76.A4.
A3.A.A5.3A90.A4.A3.A.A4.A13.A8.A80.A4.A3.A.A3.A.3A110.A4.A3.A.A3.A.A5.
3A84.A4.A3.A.A3.A.A4.A13.A8.A74.A4.A3.A.A3.A.A3.A.3A254.A4.A3.A.A3.A.
A3.A.A5.3A78.A4.A3.A.A3.A.A3.A.A4.A13.A8.A73.A4.A3.A.A3.A.A3.A.A3.A.3A
$192.2D3.2D.2D.D78.2A3.2A.2A.2A4.A92.2A3.2A.2A.2A2.2A14.A8.A79.2A3.2A
.2A.2A.2A.A112.2A3.2A.2A.2A.2A.2A4.A86.2A3.2A.2A.2A.2A.2A2.2A14.A8.A73.
2A3.2A.2A.2A.2A.2A.2A.A256.2A3.2A.2A.2A.2A.2A.2A.2A4.A80.2A3.2A.2A.2A
.2A.2A.2A.2A2.2A14.A8.A72.2A3.2A.2A.2A.2A.2A.2A.2A.2A.A$300.A365.A515.
A2$301.A365.A515.A$300.2A215.A148.2A215.A298.2A220.A$300.A.A214.A148.
A.A214.A298.A.A219.A$517.A365.A520.A2$397.2A4.2A108.3A8.A238.2A4.2A108.
3A8.A388.2A4.2A113.3A8.A$396.A.A4.A.A118.A237.A.A4.A.A118.A387.A.A4.A
.A123.A$398.A4.A113.A6.A239.A4.A113.A6.A389.A4.A118.A6.A$517.A365.A520.
A$517.A365.A520.A3$413.A365.A515.A$412.2A364.2A514.2A$412.A.A2.3A103.
2A253.A.A2.3A103.2A403.A.A2.3A108.2A$417.A104.2A259.A104.2A409.A109.2A
$418.A105.A259.A105.A409.A110.A49$102.A95.A219.A105.A263.A101.A409.A110.
A$101.A94.2A219.A104.2A263.A100.2A409.A109.2A$96.A.A2.3A93.2A213.A.A2.
3A103.2A257.A.A2.3A99.2A403.A.A2.3A108.2A$96.2A314.2A368.2A510.2A$97.
A315.A369.A511.A3$191.A325.A365.A520.A$191.A325.A365.A520.A$82.A4.A103.
A6.A199.A4.A113.A6.A243.A4.A109.A6.A389.A4.A118.A6.A$80.A.A4.A.A108.A
197.A.A4.A.A118.A241.A.A4.A.A114.A387.A.A4.A.A123.A$81.2A4.2A98.3A8.A
198.2A4.2A108.3A8.A242.2A4.2A104.3A8.A388.2A4.2A113.3A8.A2$191.A325.A
365.A520.A$24.A.A164.A108.A.A214.A152.A.A210.A298.A.A219.A$24.2A165.A
108.2A215.A152.2A211.A298.2A220.A$25.A275.A369.A511.A2$24.A275.A369.A
511.A$15.A.2A4.A61.A.2A2.2A14.A8.A78.A.2A.2A.A81.A.2A.2A.2A4.A95.A.2A
.2A.2A2.2A14.A8.A82.A.2A.2A.2A.2A.A119.A.2A.2A.2A.2A.2A4.A89.A.2A.2A.
2A.2A.2A2.2A14.A8.A72.A.2A.2A.2A.2A.2A.2A.A259.A.2A.2A.2A.2A.2A.2A.2A
4.A83.A.2A.2A.2A.2A.2A.2A.2A2.2A14.A8.A75.A.2A.2A.2A.2A.2A.2A.2A.2A.A
$13.3A.A5.3A57.3A.A4.A13.A8.A77.3A.A3.A.3A77.3A.A3.A.A5.3A91.3A.A3.A.
A4.A13.A8.A81.3A.A3.A.A3.A.3A115.3A.A3.A.A3.A.A5.3A85.3A.A3.A.A3.A.A4.
A13.A8.A71.3A.A3.A.A3.A.A3.A.3A255.3A.A3.A.A3.A.A3.A.A5.3A79.3A.A3.A.
A3.A.A3.A.A4.A13.A8.A74.3A.A3.A.A3.A.A3.A.A3.A.3A$12.A4.A64.A4.A3.A14.
3A6.3A74.A4.A3.A4.A75.A4.A3.A.A98.A4.A3.A.A3.A14.3A6.3A78.A4.A3.A.A3.
A4.A113.A4.A3.A.A3.A.A92.A4.A3.A.A3.A.A3.A14.3A6.3A68.A4.A3.A.A3.A.A3.
A4.A253.A4.A3.A.A3.A.A3.A.A86.A4.A3.A.A3.A.A3.A.A3.A14.3A6.3A71.A4.A3.
A.A3.A.A3.A.A3.A4.A$12.2A3.2A63.2A3.2A2.2A99.2A3.2A.2A3.2A75.2A3.2A.2A
.2A97.2A3.2A.2A.2A2.2A103.2A3.2A.2A.2A.2A3.2A113.2A3.2A.2A.2A.2A.2A91.
2A3.2A.2A.2A.2A.2A2.2A93.2A3.2A.2A.2A.2A.2A.2A3.2A253.2A3.2A.2A.2A.2A
.2A.2A.2A85.2A3.2A.2A.2A.2A.2A.2A.2A2.2A96.2A3.2A.2A.2A.2A.2A.2A.2A.2A
3.2A$23.A275.A369.A511.A$22.2A3.2A269.2A3.2A363.2A3.2A505.2A3.2A$22.A
.A2.A.A268.A.A2.A.A362.A.A2.A.A504.A.A2.A.A$27.A275.A369.A511.A2$101.
2A4.2A308.2A4.2A362.2A4.2A504.2A4.2A$100.2A4.2A308.2A4.2A362.2A4.2A504.
2A4.2A$102.A5.A309.A5.A363.A5.A505.A5.A5$82.2A314.2A368.2A510.2A$83.2A
314.2A368.2A510.2A$82.A315.A369.A511.A2$77.2A19.2A293.2A19.2A347.2A19.
2A489.2A19.2A$76.A.A18.2A293.A.A18.2A347.A.A18.2A489.A.A18.2A$78.A20.
A294.A20.A348.A20.A490.A20.A80$277.A369.A499.A509.A$278.2A368.2A498.2A
508.2A$273.2A2.2A3.2A.2A.2A3.2A348.2A2.2A3.2A.2A.2A.2A.2A3.2A472.2A2.
2A3.2A.2A.2A.2A.2A.2A.2A3.2A476.2A2.2A3.2A.2A.2A.2A.2A.2A.2A.2A.2A3.2A
$272.A.A7.2A.A3.A4.A347.A.A7.2A.A3.A.A3.A4.A471.A.A7.2A.A3.A.A3.A.A3.
A4.A475.A.A7.2A.A3.A.A3.A.A3.A.A3.A4.A$274.A10.A3.A.3A350.A10.A3.A.A3.
A.3A474.A10.A3.A.A3.A.A3.A.3A478.A10.A3.A.A3.A.A3.A.A3.A.3A$278.A6.2A
.2A.A356.A6.2A.2A.2A.2A.A480.A6.2A.2A.2A.2A.2A.2A.A484.A6.2A.2A.2A.2A
.2A.2A.2A.2A.A$278.2A368.2A498.2A508.2A$277.A.A367.A.A497.A.A507.A.A3$
193.9D$192.D9.3D$191.D13.2D$191.D15.D$192.D15.2D$192.D16.D$192.D17.D$
192.2D16.D$193.D16.D$210.D$210.D$210.D$210.D$209.D$209.D$209.D$208.D$
208.D$207.D$206.D$205.D$203.2D$201.2D$201.D$199.2D$199.D$198.D$198.D$
198.D$198.D$199.D$199.D2$462.A20.A474.A20.A494.A20.A$460.A.A18.2A473.
A.A18.2A493.A.A18.2A$461.2A19.2A473.2A19.2A493.2A19.2A$196.4D$196.D3.
D265.A495.A515.A$196.D4.D265.2A494.2A514.2A$196.D4.2D263.2A494.2A514.
2A$196.2D4.D$197.2D3.D$198.D.3D$198.3D$486.A5.A489.A5.A509.A5.A$484.2A
4.2A488.2A4.2A508.2A4.2A$485.2A4.2A488.2A4.2A508.2A4.2A2$411.A495.A515.
A$406.A.A2.A.A488.A.A2.A.A508.A.A2.A.A$406.2A3.2A489.2A3.2A509.2A3.2A
$A269.A136.A232.A262.A236.A278.A230.A$.2A3.A5.2A.A176.2D.2D.2D3.2D66.
2A3.A5.2A.2A.2A.A100.2A.2A.2A.2A59.2A.2A.2A.2A2.2A95.2A.2A.2A.2A.2A3.
2A50.2A3.A5.2A.2A.2A.2A.2A.A214.2A.2A.2A.2A.2A.2A53.2A.2A.2A.2A.2A.2A
2.2A89.2A.2A.2A.2A.2A.2A.2A3.2A54.2A3.A5.2A.2A.2A.2A.2A.2A.2A.A218.2A
.2A.2A.2A.2A.2A.2A.2A47.2A.2A.2A.2A.2A.2A.2A.2A2.2A83.2A.2A.2A.2A.2A.
2A.2A.2A.2A3.2A48.2A3.A5.2A.2A.2A.2A.2A.2A.2A.2A.2A.A$2A5.2A4.A.3A174.
2D.D3.D4.D65.2A5.2A4.A.A3.A.3A98.2A.A3.A.A60.2A.A3.A.A3.A14.3A6.3A70.
2A.A3.A.A3.A4.A49.2A5.2A4.A.A3.A.A3.A.3A212.2A.A3.A.A3.A.A54.2A.A3.A.
A3.A.A3.A14.3A6.3A64.2A.A3.A.A3.A.A3.A4.A53.2A5.2A4.A.A3.A.A3.A.A3.A.
3A216.2A.A3.A.A3.A.A3.A.A48.2A.A3.A.A3.A.A3.A.A3.A14.3A6.3A58.2A.A3.A
.A3.A.A3.A.A3.A4.A47.2A5.2A4.A.A3.A.A3.A.A3.A.A3.A.3A$6.2A5.A4.A176.D
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A$145.2A464.2A514.2A514.2A$146.2A464.2A514.2A514.2A9$123.A.A463.A.A513.
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.A3.A.A3.A.A.A89.A3.A.A3.A.A3.A.A5.3A53.A3.A.A3.A.A3.A.A4.A12.3A61.A3.
A.A3.A.A3.A.A3.A.2A74.A3.A.A3.A.A3.A.A3.A.2A7.A.A$196.2A4.2A.A3.A82.2A
.A3.A10.A81.2A.A3.A2.A69.2A.A3.A.A80.2A.A3.A.A3.A96.2A.A3.A.A3.A96.2A
.A3.A.A3.A10.A75.2A.A3.A.A3.A2.A93.2A.A3.A.A3.A.A64.2A.A3.A.A3.A.A3.A
80.2A.A3.A.A3.A.A3.A100.2A.A3.A.A3.A.A3.A10.A69.2A.A3.A.A3.A.A3.A2.A87.
2A.A3.A.A3.A.A3.A.A58.2A.A3.A.A3.A.A3.A.A3.A74.2A.A3.A.A3.A.A3.A.A3.A
74.2A.A3.A.A3.A.A3.A.A3.A10.A$196.2A4.2A.2A.2A82.2A.2A.2A6.A85.2A.2A.
2A72.2A.2A.2A.2A79.2A.2A.2A.2A2.2A95.2A.2A.2A.2A.2A96.2A.2A.2A.2A.2A6.
A79.2A.2A.2A.2A.2A96.2A.2A.2A.2A.2A.2A63.2A.2A.2A.2A.2A.2A2.2A79.2A.2A
.2A.2A.2A.2A.2A100.2A.2A.2A.2A.2A.2A.2A6.A73.2A.2A.2A.2A.2A.2A.2A90.2A
.2A.2A.2A.2A.2A.2A.2A57.2A.2A.2A.2A.2A.2A.2A.2A2.2A73.2A.2A.2A.2A.2A.
2A.2A.2A.2A74.2A.2A.2A.2A.2A.2A.2A.2A.2A6.A$305.2A180.A103.3A207.2A210.
A93.3A207.2A210.A93.3A187.2A$135.A169.A.A94.2A82.2A3.2A98.A209.A.A94.
2A112.2A3.2A88.A209.A.A94.2A112.2A3.2A88.A189.A.A$133.2A266.A.A3.A78.
A.A2.A.A98.A304.A.A3.A108.A.A2.A.A88.A304.A.A3.A108.A.A2.A.A88.A$119.
2A13.2A267.A3.A.A81.A407.A3.A.A111.A397.A3.A.A111.A$118.2A9.3A275.2A494.
2A514.2A$120.A8.A$130.A$145.3A$145.A$146.A2$119.3A$121.A$120.A3$562.3A
513.3A513.3A$564.A515.A515.A$563.A515.A515.A2$557.2A26.3A485.2A26.3A485.
2A26.3A$558.2A25.A488.2A25.A488.2A25.A$557.A28.A486.A28.A486.A28.A22$
287.A.A487.A.A507.A.A487.A.A$288.2A488.2A508.2A488.2A$288.A6.2A.2A.2A
475.A6.2A.2A.2A.2A.2A489.A6.2A.2A.2A.2A.2A.2A.2A463.A6.2A.2A.2A.2A.2A
.2A.2A.2A.2A$284.A10.A3.A.A.A470.A10.A3.A.A3.A.A.A484.A10.A3.A.A3.A.A
3.A.A.A458.A10.A3.A.A3.A.A3.A.A3.A.A.A$282.A.A7.2A.A3.A2.A469.A.A7.2A
.A3.A.A3.A2.A483.A.A7.2A.A3.A.A3.A.A3.A2.A457.A.A7.2A.A3.A.A3.A.A3.A.
A3.A2.A$283.2A2.2A3.2A.2A.2A473.2A2.2A3.2A.2A.2A.2A.2A487.2A2.2A3.2A.
2A.2A.2A.2A.2A.2A461.2A2.2A3.2A.2A.2A.2A.2A.2A.2A.2A.2A$288.2A488.2A508.
2A488.2A$287.A489.A509.A489.A25$84.A395.A495.A525.A$82.2A394.2A494.2A
524.2A$7.A75.2A302.A91.2A396.A97.2A410.A113.2A$8.2A378.2A488.2A508.2A
$3.2A2.2A3.2A.2A55.2A.2A306.2A2.2A3.2A.2A.2A.2A59.2A.2A.2A.2A400.2A2.
2A3.2A.2A.2A.2A.2A.2A53.2A.2A.2A.2A.2A.2A414.2A2.2A3.2A.2A.2A.2A.2A.2A
.2A.2A57.2A.2A.2A.2A.2A.2A.2A.2A$2.A.A7.2A.A55.A.A.A5.2A299.A.A7.2A.A
3.A.A59.A.A.A3.A.A5.2A393.A.A7.2A.A3.A.A3.A.A53.A.A.A3.A.A3.A.A5.2A407.
A.A7.2A.A3.A.A3.A.A3.A.A57.A.A.A3.A.A3.A.A3.A.A5.2A$4.A10.A56.A2.A4.2A
5.2A295.A10.A3.A.A60.A2.A3.A.A4.2A5.2A389.A10.A3.A.A3.A.A54.A2.A3.A.A
3.A.A4.2A5.2A403.A10.A3.A.A3.A.A3.A.A58.A2.A3.A.A3.A.A3.A.A4.2A5.2A$8.
A6.2A58.2A5.A3.2A300.A6.2A.2A.2A62.2A.2A.2A5.A3.2A394.A6.2A.2A.2A.2A.
2A56.2A.2A.2A.2A.2A5.A3.2A408.A6.2A.2A.2A.2A.2A.2A.2A60.2A.2A.2A.2A.2A
.2A.2A5.A3.2A$8.2A78.A299.2A94.A393.2A100.A407.2A116.A$7.A.A377.A.A487.
A.A507.A.A41$64.A69.A319.A105.A393.A105.A403.A105.A$65.2A65.2A321.2A101.
2A395.2A101.2A405.2A101.2A$64.2A67.2A319.2A103.2A393.2A103.2A403.2A103.
2A2$12.2A.2A55.2A.2A45.2A.2A265.2A.2A.2A.2A59.2A.2A.2A.2A69.2A.2A.2A.
2A329.2A.2A.2A.2A.2A.2A63.2A.2A.2A.2A.2A.2A57.2A.2A.2A.2A.2A.2A339.2A
.2A.2A.2A.2A.2A.2A.2A57.2A.2A.2A.2A.2A.2A.2A.2A45.2A.2A.2A.2A.2A.2A.2A
.2A$11.A.A.A50.2A5.A.A45.A.A.A5.2A258.A.A.A3.A.A54.2A5.A.A3.A.A69.A.A
.A3.A.A5.2A322.A.A.A3.A.A3.A.A58.2A5.A.A3.A.A3.A.A57.A.A.A3.A.A3.A.A5.
2A332.A.A.A3.A.A3.A.A3.A.A52.2A5.A.A3.A.A3.A.A3.A.A45.A.A.A3.A.A3.A.A
3.A.A5.2A$12.A2.A44.2A5.2A4.A.A45.A.A.A4.2A5.2A253.A2.A3.A.A48.2A5.2A
4.A.A3.A.A69.A.A.A3.A.A4.2A5.2A317.A2.A3.A.A3.A.A52.2A5.2A4.A.A3.A.A3.
A.A57.A.A.A3.A.A3.A.A4.2A5.2A327.A2.A3.A.A3.A.A3.A.A46.2A5.2A4.A.A3.A
.A3.A.A3.A.A45.A.A.A3.A.A3.A.A3.A.A4.2A5.2A$15.2A44.2A3.A5.2A.2A45.2A
.2A5.A3.2A257.2A.2A.2A48.2A3.A5.2A.2A.2A.2A69.2A.2A.2A.2A5.A3.2A321.2A
.2A.2A.2A.2A52.2A3.A5.2A.2A.2A.2A.2A.2A57.2A.2A.2A.2A.2A.2A5.A3.2A331.
2A.2A.2A.2A.2A.2A.2A46.2A3.A5.2A.2A.2A.2A.2A.2A.2A.2A45.2A.2A.2A.2A.2A
.2A.2A.2A5.A3.2A$60.A77.A311.A113.A385.A113.A395.A113.A$11.2A378.2A488.
2A508.2A$7.A3.A.A373.A3.A.A483.A3.A.A503.A3.A.A$5.A.A3.A373.A.A3.A483.
A.A3.A503.A.A3.A$6.2A378.2A488.2A508.2A63$58.A63.A325.A93.A415.A123.A
385.A123.A$59.A63.2A324.A93.2A414.A123.2A384.A123.2A$57.3A2.A.A57.2A323.
3A2.A.A87.2A413.3A2.A.A117.2A383.3A2.A.A117.2A$63.2A388.2A508.2A508.2A
$63.A389.A509.A509.A3$129.A419.A539.A509.A$129.A419.A539.A509.A$73.A4.
A43.A6.A333.A4.A73.A6.A423.A4.A103.A6.A393.A4.A103.A6.A$71.A.A4.A.A41.
A338.A.A4.A.A71.A428.A.A4.A.A101.A398.A.A4.A.A101.A$72.2A4.2A42.A8.3A
328.2A4.2A72.A8.3A418.2A4.2A102.A8.3A388.2A4.2A102.A8.3A2$129.A419.A539.
A509.A$4.A.A122.A254.A.A162.A324.A.A212.A294.A.A212.A$5.2A122.A255.2A
162.A325.2A212.A295.2A212.A$5.A379.A489.A509.A2$6.A379.A489.A509.A$7.
A4.2A.2A27.A8.A14.2A2.2A.2A40.A.2A.2A.2A260.A4.2A.2A.2A.2A31.A8.A14.2A
2.2A.2A.2A.2A64.A.2A.2A.2A.2A.2A324.A4.2A.2A.2A.2A.2A.2A45.A8.A14.2A2.
2A.2A.2A.2A.2A.2A88.A.2A.2A.2A.2A.2A.2A.2A288.A4.2A.2A.2A.2A.2A.2A.2A
.2A39.A8.A14.2A2.2A.2A.2A.2A.2A.2A.2A.2A82.A.2A.2A.2A.2A.2A.2A.2A.2A.
2A$5.3A5.A.A29.A8.A13.A4.A.A39.3A.A3.A.A259.3A5.A.A3.A.A33.A8.A13.A4.
A.A3.A.A63.3A.A3.A.A3.A.A323.3A5.A.A3.A.A3.A.A47.A8.A13.A4.A.A3.A.A3.
A.A87.3A.A3.A.A3.A.A3.A.A287.3A5.A.A3.A.A3.A.A3.A.A41.A8.A13.A4.A.A3.
A.A3.A.A3.A.A81.3A.A3.A.A3.A.A3.A.A3.A.A$13.A.A27.3A6.3A14.A3.A.A38.A
4.A3.A.A267.A.A3.A.A31.3A6.3A14.A3.A.A3.A.A62.A4.A3.A.A3.A.A331.A.A3.
A.A3.A.A45.3A6.3A14.A3.A.A3.A.A3.A.A86.A4.A3.A.A3.A.A3.A.A295.A.A3.A.
A3.A.A3.A.A39.3A6.3A14.A3.A.A3.A.A3.A.A3.A.A80.A4.A3.A.A3.A.A3.A.A3.A
.A$12.2A.2A51.2A2.2A.2A37.2A3.2A.2A.2A265.2A.2A.2A.2A55.2A2.2A.2A.2A.
2A61.2A3.2A.2A.2A.2A.2A329.2A.2A.2A.2A.2A.2A69.2A2.2A.2A.2A.2A.2A.2A85.
2A3.2A.2A.2A.2A.2A.2A.2A293.2A.2A.2A.2A.2A.2A.2A.2A63.2A2.2A.2A.2A.2A
.2A.2A.2A.2A79.2A3.2A.2A.2A.2A.2A.2A.2A.2A.2A$7.A379.A489.A509.A$2.2A
3.2A373.2A3.2A483.2A3.2A503.2A3.2A$.A.A2.A.A372.A.A2.A.A482.A.A2.A.A502.
A.A2.A.A$3.A379.A489.A509.A2$52.2A4.2A382.2A4.2A502.2A4.2A502.2A4.2A$
53.2A4.2A382.2A4.2A502.2A4.2A502.2A4.2A$52.A5.A383.A5.A503.A5.A503.A5.
A5$77.2A388.2A508.2A508.2A$76.2A388.2A508.2A508.2A$78.A389.A509.A509.
A2$61.2A19.2A367.2A19.2A487.2A19.2A487.2A19.2A$62.2A18.A.A367.2A18.A.
A487.2A18.A.A487.2A18.A.A$61.A20.A368.A20.A488.A20.A488.A20.A!

[vilc]

I went through trying to synthesize end combinations of cap, block, table, eater, and boat (didn't try so far as snake, shillelagh, ship, or long snake/very long snake, etc. in all their combos). There were two small ones involving two eaters or an eater and block which I couldn't manage (your posted technique blew up on them). Do we know a synth for them?

Code: Select all

x = 15, y = 34, rule = B3/S23
3bob2ob2o3b2o$b3obo3bo4bo$o4bo3bob3o$2o3b2ob2obo27$3bob2ob2o$b3obo3bo
$o4bo3bob2o$2o3b2ob2ob2o!

Yes, it can be done using known components.

Code: Select all

x = 134, y = 19, rule = B3/S23
bo4bo$2bo4b2o111bobo$3o3b2o112b2o$65bobo47bobo3bo$66b2o48b2o$7b2o57bo
49bo$8b2o52bo58bo$7bo8b2ob2o3b2o34bobo7b2ob2ob2o3b2o37bobob2ob2o3b2o$
16bo3bo4bo35b2o2b2o3b2obo3bo4bo38b2obo3bo4bo$13b2obo3bob3o41b2o5bo3bob
3o42bo3bob3o$13b2ob2ob2obo42bo7b2ob2obo44b2ob2obo2$6b3o108b2o$8bo107bo
bo$7bo110bo2$122b2o$121b2o$123bo!

Thanks a lot for pointing out the fact that my method wasn't as universal as I thought. I will try to cover the remaining cases later.

Edit :
I adapted my method, at the cost of a single extra glider :

Code: Select all

x = 213, y = 161, rule = B3/S23
152bo$153b2o$152b2o8$212bo$210b2o$211b2o2$176bo28bo$177b2o26bobo$176b
2o27b2o9$172bobo$173b2o$173bo2$193b2o$193b2o2$175bo$176bo12b2o2b2o3b2o
$174b3o12bo4bo4bo$190bo3bob3o$189b2o2b2obo$172b3o$174bo$173bo14$201b3o
$201bo$202bo2$178b3o26b2o$180bo25b2o$179bo28bo15$7bo$7bobo$7b2o$2bo$ob
o63bobo$b2o64b2o5b2o$67bo6b2o2$68bo$69bo4b2o3b2o$3b2o3b2o57b3o5bo4bo$
4bo4bo65bob3o$4bob3o65b2obo$3b2obo62bo$64b2o3b2o$63bobo2bobo$65bo29$
198bo$198bobo$198b2o2$172bo19bobo$170bobo19b2o$171b2o20bo9$184b2o$184b
2o3$156bo8bo14b2o2b2o3b2o$157bo8bo13bo4bo4bo$155b3o6b3o14bo3bob3o$180b
2o2b2obo6$164b2o4b2o$165b2o4b2o$164bo5bo5$189b2o$188b2o$190bo2$173b2o
19b2o$174b2o18bobo$173bo20bo!

[confocaloid]

[...] Is there a way to get the red Beehive from that LoM with stable or periodic catalysts ?

Code: Select all

x = 10, y = 11, rule = LifeHistory
3.3A$3.A.A$3.A2.A$4.A.A$4.3A4$.2D$D2.D$.2D!

[...]

Depends on the details (e.g. required clearance, whether or not engineered contraptions are allowed).

Without any additional context / requirements, here is a "solution" (with that word in quotes, because it probably doesn't answer the intended question, although it definitely does answer the asked question):

Code: Select all

#C Source for the LoM-to-pi: https://conwaylife.com/forums/viewtopic.php?p=187642#p187642
x = 169, y = 121, rule = LifeHistory
27.2A$23.2A.A.A9.A$24.A.A9.3A41.2A$24.A.2A7.A44.A.A$21.2A.A.4B5.2A45.
A$21.A2.4A4BA4B3.2A3.2A35.2A2.2A$22.2A2.BA3BABAB5.A5.A38.A.A$24.3A.2B
A2BA2B.BA.A5.A.AB30.4A.A$24.A4.2B2A3B.B2A7.A.AB.B16.2A9.A2.A.2A8.2A$
22.A.A4.9B10.A3B2A15.A14.6B5.A$22.2A5.9B9.3B.B2A12.BA.A15.B.4B.BA.A$
29.9B9.2B3.B10.2A.B2A16.6B.B2A$28.3B2D2BDB2.B2.3B.4B12.B2A2B12.B4.9B$
27.4BD2B2D21B6.4B11.2AB.11B$26.6BD2BD4B2A11BD4B3.6B11.2A12B$25.7B3D5B
2A9B3D4B2.6B13.B.12B$24.27BDBD4B.7B15.6B3C4B$23.4B2.22BD15B16.4BCBC3B
$22.4B6.B.B.5B3.2B2.20B10.2A3.4BC2BC2B$21.4B6.2BA2B.B13.18B8.B2A2B2.
4BCBC2B$20.4B7.BABAB17.16B3.2A4.4B2.4B3C2B$19.4B3.2A3.BABAB3.2A13.14B
5.A5.14B$18.4B4.A.BA3BA3BAB.A12.16B4.A.AB.16B$17.4B6.3AB.3B.B3A13.14B
.B2A3.2AB.16B$16.4B9.3B.B.3B13.2AB.3B3.6B.BA.A4.9B2D8B$3.2A10.4B6.7AB
.B7A8.A.AB7.6B4.A4.8BD2BD7B$4.A9.4B7.A2.B2.BA.AB2.B2.A8.A9.2B2D2BD4.
2A3.9B2D9B$2.A10.4B9.A.A.2A3.2A.A.A8.2A4.2A2.4B3DB9.19B$2.5A5.4B5.2A
4.2A.A5.A.2A14.A.A7BD4B6.20B$7.A4.4B5.A10.A.A19.A3.11B3.2B.16B$4.3AB
2.7B.BA.A9.2A.2A17.2A3.4B2A5B2.21B$3.A.2B3.7B.B2A38.3B2A16BDBD11B$3.
4A12B40.21BDBD11B$.2A2.BA3B2A7B41.20B3D12B$A2.3AB.2B2A7B41.35B$2A.A.B
3.10B41.36B$3.A8.8B41.36B$3.2A7.9B41.25B2.9B$13.3B2.4B40.13B2.9B4.B.
7B$11.5B3.4B39.12B5.5B9.7B$11.2A7.4B37.12B5.7B9.7B$12.A8.4B14.2A20.
11B4.11B8.7B$9.3A10.4B9.2A3.A21.9B4.3B2A3B2A3B8.7B$9.A13.4B8.A2.A4.2A
17.8B3.B.2BA2BABA2BA2B.B7.7B$24.4B8.4A2.B2AB2.2A11.8B3.A5B2A3B2A5BA7.
7B$25.4B11.B2.3B2.A.A.2A.A4.8B3.A.A2B.9B.2BA.A7.7B$26.4B8.2A.2B.B5.A.
A.2A3.8B5.AB3.9B3.BA9.7B$27.4B6.A.A7B2.B2A6.4B3D2B10.9B15.7B$28.4B5.
2A.8B2.2B5.7BD2B11.B5.B17.7B$29.4B7.11B4.8B3DB36.7B$30.4B8.10B2.13B
37.7B$31.4B7.25B38.7B$32.4B6.25B39.7B$33.4B3.26B41.7B$34.4B.6B2A19B
42.7B$35.9BA2BA19B42.7B$36.9B2A6B.12B44.7B$36.16B4.3B2A3B47.7B$36.4B
2.6B.2B6.BA2BA2B48.7B$34.2AB.B4.5B2.2B7.2AB51.7B$33.A.AB4.2BA3B2.B2AB
61.7B$33.A4.4BABA5.2A63.7B$32.2A4.2A.A.A72.7B$37.ABABA.A.A71.7B$37.A
4.A.A.A.2A68.7B$38.3A.A.A.2A.A69.7B$40.A.2A76.7B31.2A$121.7B29.B2AB$
122.7B29.2B$123.7B27.2B$124.7B25.4B$125.7B23.5B$126.7B23.5B$127.7B21.
6B$128.7B20.7B$129.7B20.7B$130.7B19.7B$131.7B17.8B$132.7B14.11B$133.
7B13.11B$134.7B9.AB.10B5.A$135.7B7.A.A10B4.3A$136.7B7.A2B.B.3B2AB3.A$
137.7B7.B3.4B2A2B2.2A$138.7B9.9B.3B$139.7B7.12B$140.7B7.11B$141.7B2.
2B2.11B$142.23B$143.22B$139.2A3.20B$139.A.A3.19B$140.AB2.19B$139.24B$
138.23B$136.B.21B$135.2A24B.4B$135.2A29B$136.29B2A$136.13B.15B2A$139.
25B.B$136.2B.21B2AB$135.2A23B2AB$135.2AB.22B$136.B2.22B$140.9B.12B$
142.20B$142.20B$140.A20B$138.3A2.16B$137.A6.16B$137.2A5.15B$143.17B$
141.A.2A3.13B$139.3AB2A4.12B$138.A4.B4.12B$139.3A.2A3.12B$141.A.A5.
11B$141.A.A7.4B2.B$142.A7.B2A2B$151.2A!

Now, why I suspect that the above pattern probably doesn't answer the intended question? Well, my guess is that the question is related to the following glider+beehive collision, where the LoM and the beehive are positioned the same way relative to each other.:

Code: Select all

x = 33, y = 26, rule = LifeHistory
.A$2BA$3AB$.4B$2.4B$3.4B$4.4B$5.4B$6.4B$7.4B$8.4B$9.4B16.B$10.4B14.3D
$11.4B13.DBD$12.4B11.BD2BD$13.4B10.2BDBD$14.4B9.2B3D$15.4B8.5B$16.4B
6.7B$17.4B5.7B$18.4B2.2B2C5B$19.6BC2BC3B$20.6B2C3B$21.9B$22.8B$25.3B!

One natural question here can be obtained by adding requirements on clearance:

Is there a way to get that beehive from that LoM with stable catalysts or periodic sparkers, without interfering with the preceding glider+beehive->LoM reaction, and keeping the glider naturally rewindable arbitrarily far back in time?

Further, if you require in addition that the resulting device works as an edgy stable glider eater (i.e. gliders on nearby lanes must be able to pass without interaction), there is a second natural question that can be asked:

Is there a way to get that beehive from that LoM with stable catalysts or periodic sparkers, without interfering with the preceding glider+beehive->LoM reaction, keeping the glider naturally rewindable arbitrarily far back in time, and keeping all "lower" lanes transparent (allowing gliders on "lower" lanes to pass through without interaction when the device is in passive state)?

Code: Select all

x = 32, y = 23, rule = LifeHistory
.A$2.A$3A8$10.A$11.A$9.3A16.3D$28.D.D$28.D2.D$29.D.D$29.3D4$26.2C$25.
C2.C$26.2C!

[confocaloid]

The still life xs26_4a9b8bqiczca23 had a known synthesis at least since 2022-07-05.
There seems to be no easy way to add the block, to construct the "diehard" still life (xs30_354cwmmz65139d543)?

Code: Select all

x = 16, y = 10, rule = B3/S23
5b2o$b2obo2bo$b2ob2obo5bo$5bob2o4bobo$5bo7b2o$2b2obob2o$2bo2bo2bo$obo
2bobo4b2o$2o4bo4b2o$13bo!

[Chris857]

The still life xs26_4a9b8bqiczca23 had a known synthesis at least since 2022-07-05.
There seems to be no easy way to add the block, to construct the "diehard" still life (xs30_354cwmmz65139d543)?

Code: Select all

x = 16, y = 10, rule = B3/S23
5b2o$b2obo2bo$b2ob2obo5bo$5bob2o4bobo$5bo7b2o$2b2obob2o$2bo2bo2bo$obo
2bobo4b2o$2o4bo4b2o$13bo!

Is it even possible to get a block in from that starting still life? My quick looking at it says we need to turn on the blue cell, the red cell can't be on because it destroys the eater, so we need the white cells, but those also go and interact with the rest of the still life.

Code: Select all

x = 20, y = 16, rule = LifeHistory
4$11.2A$7.2A3.3A$7.A2.A4.A$8.6A.A$13.2A$10.A$8.3A2.BC$7.A4.D2C$7.2A!

Edit:
xs30_0mm0e96z345d1d952 has a synthesis which has the block in place but a bun in place of the eater - any way to get from it to the desired one?

Code: Select all

https://catagolue.hatsya.com/object/xs30_0mm0e96z345d1d952/b3s23

[confocaloid]

Is there a known synthesis component to add a diagonal line of five (or more) bits like this?

Code: Select all

x = 173, y = 36, rule = B3/S23
112b2o23bobo2b2o$29bo49bo4bo17bo7bo21bo4bobobo20bo$3bo4bo14bo5b3o11bo
7bo21bo5b3obo18b3o4bo3bo18b3o3b2o22b3o$3b3o4bo12b3o17b3o3bo23b3o3b2obo
22bo3bo2bo22bo5bo23bo2b2o$6bo3bo15bo3b2o14bo3bo25bo3bob2o15b2o3bo3bo
20b2o3bo4bob2o16b2o3bo$2o3bo3bo10b2o3bo3bo10b2o3bo3bo20b2o3bo7b2o15bo
2bo5bo3bo16bo2bo3bo2bo19bo2bo4bo$bo2bo3b2o11bo2bo4bo11bo2bo3bo22bo2bo
3bo4bo16bobo5bob3o17bobo4b2obo19bobo4b3o$bobo17bobo4bo12bobo6bo20bobo
4b2ob3o17bo6b3ob2o17bo6b2o21bo6bo$2bo4b2o13bo19bo5b2o2bo19bo5b4o27bo2b
2o27bo28b3o$5bo21b2o20bo2bo29b3o19bo5b3o21bo5b2o16b2o3b2o$4bobobo35b3o
22b2o3b3o22b3ob3o5bobo14bo3bob2o5bo18bobob2o$2bobo3bo12bob4obo11b2o2b
2obo22b3o4bo3b4o13bob2ob2o30bo22b3o4bo$2bo18bo20bo30bobo2bo4b2o18bo2bo
6bo14bobobob2o27b2o2bo$41bo27bobo3bo2b2o3bo16bobo3bobo21bo31bo4b2o$69b
obo2b5o20b3obo4b2o50bobo$74b3o4bo16bobo5bo57bo$70bobo3bo4bo5$162bo$3bo
4bo34bo7bo110b3o3bo$3b3o3bo33b3o3bo115bo$6bo3bo35bo3bo108b2o3bo4b2obo$
2o3bo3bo30b2o3bo4bo109bo2bo4bo3bo$bo2bo3b2o31bo2bo3bo111bobo5bo$bobo
37bobo6bo110bo6b2o$2bo4b2o33bo5b2o2bo$5bo43bo2bo105b2o3b2o$4bobobo35b
3o113bobob2o$2bobo3bo31b2o2b2o112b3o4bo$2bo39bo4bo115b2o2bo$41bo120bo
4b2o$160bobo$164bo!

If a solution is found, then (in addition to being a synthesis component in CGoL) it has a nonzero chance to be applicable to glider construction of "checkerboard" still lives in B3/S234c (a closely related CA where such still lives exist, and currently 2xN, 3xN, 4xN are known to be constructible).

EDIT (merging a later post):

Is there a known synthesis component to add a diagonal line of five (or more) bits like this? [...]

It looks like it should be possible to complete this, but no solution yet. (The reaction arriving from the right side can be initiated with a 3G collision. I don't know how to create the reaction arriving from the bottom side. It might be possible by hitting a boat, a tub, or a similar still life previously constructed in the same location.)

Code: Select all

x = 107, y = 47, rule = B3/S23
64bo29bo$64b3o7bo19b3o7bo$67bo5bob2o20bo5bob2o$61b2o3bo6bob2o14b2o3bo
6bob2o$62bo2bo4b2o20bo2bo4b2o$62bobo5bo4bo16bobo5bo4bo$63bo6b2o3bo17bo
6b2o3bo$72b2o22bo5b2o$66b2o28bo$65bo27b2ob2o$62bobo3bo21bo8bo$62b2o4bo
bo21b2o5bo$61bo30bo4bo$62bo17$4bo29bo29bo29bo$4b3o7bo19b3o7bo19b3o7bo
19b3o7bo$7bo5bob2o20bo5bob2o20bo5bobo21bo5bobo$b2o3bo6bob2o14b2o3bo6bo
b2o14b2o3bo6bob2o14b2o3bo6bob2o$2bo2bo4b2o20bo2bo4b2o20bo2bo5b3obo16bo
2bo5b3obo$2bobo5bo4bo16bobo5bo4bo16bobo5b2ob3o16bobo5b2ob3o$3bo6b2o3bo
17bo6b2o3bo13bo3bo7bo2bo18bo7bo2bo$6bo5b2o22bo5b2o14bobo5bo5b2o22bo5b
2o$5bobo27bobo22bo4bobo20b2obo3bobo$2bo3bo29bo22bo4bobobo20bobo3b2o$3b
o5bo24bobobo19b3o3b2o2bo19bo2bo7bo$3o2bo4bo19bo2bobo2bo20b3obo4b2o18b
2o3b7o$3b3obobo20b2o2bo3b2o18bo3b4o4bo18b2o3b3o4bo$3b2o53bo4b2o3b2o2bo
16b2obo2bo2b2ob2o$bo57b2obo2bob2o3b2o17bobo4b3o2bo$58b2obo6bo3bo17bob
3obobo3bobo$60bo3b2o2b2o19bo4bobobo4b2o!

Evolve to generation 40, then replace all state-4 cells by state-3 cells:

Code: Select all

x = 99, y = 26, rule = LifeHistory
56.A$15.A40.A.A$15.A.A23.A5.A8.2A$2.A5.A6.2A22.A.A3.A.A$A.A3.A.A31.2A
4.2A$.2A4.2A9$4.D87.5B$5.D39.3D43.3BA3B$5.D3.2D4.A30.3D6.A34.3BABA3B$
6.2D.2D3.A.A31.D5.A.A32.3BABABA2B$8.2D3.A2.A30.D.D3.A2.A32.2BABA2BA2B
$8.D3.A3.2A30.D3.A3.2A31.BABA3B2AB$6.D2.D.A32.D2.D3.A37.2BA7B$6.D.D3.
3A29.D.D5.3A34.3B3AB$5.D2.D5.A29.D3.2D4.A35.4BAB$5.D.2D82.5B$8.D.D37.
D$8.D.D!

[confocaloid]

[...] Is it even possible to get a block in from that starting still life? [...]

It is possible to get the block in (by an initially noninteracting hitting reaction), but I'm not sure how hard it is to find a glider collision that does this:

Code: Select all

x = 237, y = 29, rule = B3/S23
8bo32bobo2bobob2o$9bo2bob3o27bo2b3ob3obobob2o$13bo27b3o5bobo2b5o$10b2o
3b2o26bo5bobo2bo23bobo93bo30bo25bo$4b2o3bo3bob2o24bo2b4ob2o7bo19bo2bob
o52bo4bo30bo31b2o25b2o$3bo4b2o2b2obo26bob3o3bo2b2obob3o21bo53b2o4bobo
28bo2bo27bo23bo$6bob2obo3b2o25bo2bo2bo2bo3bo2bo23b3o18bo7bo24b2o4bo21b
o2bobo3b2o27bobo24bo$5b3o2b2o30b2o3bob2obobob2o2bo18bobo2bo21b2obo2b2o
2b2o20bo2b2o22b2obo2bob4o16bob3o4b2obo23bob3o$5b2obobo32b2ob2ob2o2b2ob
3obo16bo2b2o22b2obo3b3ob2o17b4o2b2o25b2ob2o24bob3o28b3o$2bo39bobobo3b
2o7bo18bo28bobo27b2obo27bobo23b2o3bo25bob2obo$2b2o3bo34b4o11bobo18b2o
23b2o3b2o27bobo26bob2o28b2o24b2o$5bobo5b2o30bo3bo3b2o3bo16b2obo4b2o18b
3o7b2o18bo3bo5b2o20bo2bo4b2o23bo4b2o19b5o4b2o$bo2b2obo4bo2bo27bob2obo
3bo2bo4bo14bobo4bo2bo19b2ob2o2bo2bo17bob2o5bo2bo19bo6bo2bo19b3o4bo2bo
19bo6bo2bo$2o2b2o6b2obo26bo6bo2b2obo26b2obo18bo4bo2b2obo22bo3b2obo18b
2o6b2obo17bobo6b2obo17bob2o5b2obo$13bob2o25bobo3bo4bob2o26bob2o18bo7bo
b2o18b3o5bob2o26bob2o17bobo6bob2o16bo3bo5bob2o$3bo9bo28bob3o6bo29bo29b
o29bo29bo29bo29bo$10b2obob2o24b2o2b2o3b2obob2o23b2obob2o23b2obob2o23b
2obob2o23b2obob2o23b2obob2o23b2obob2o$10bo2bo2bo26bobo4bo2bo2bo23bo2bo
2bo23bo2bo2bo23bo2bo2bo23bo2bo2bo23bo2bo2bo23bo2bo2bo$8bobo2bobo29bo2b
obo2bobo22bobo2bobo22bobo2bobo22bobo2bobo22bobo2bobo22bobo2bobo22bobo
2bobo$8b2o4bo26b2obo3b2o4bo23b2o4bo23b2o4bo23b2o4bo23b2o4bo23b2o4bo23b
2o4bo7$7b2o$7bobo$7bo!

Lower population:

Code: Select all

x = 43, y = 16, rule = B3/S23
37bo$6b2o26bo$7bo2bobo19bobo2bobo$7b2ob4o20bo3b3o$4bobo24bobo3bo$5b2o
24bo4bo$5bo28bo$bo7b2o23bo4b2o$b2o5bo2bo22bo3bo2bo$o2b2o3b2obo26b2obo$
3bo5bob2o26bob2o$9bo29bo$6b2obob2o23b2obob2o$6bo2bo2bo23bo2bo2bo$4bobo
2bobo22bobo2bobo$4b2o4bo23b2o4bo!