B3/S234c

[confocaloid]

Alien conduit partial
tags: HL106H RBx219R transparent block

Code: Select all

x = 82, y = 56, rule = B3/S234c
60b2o$59bo2bo$60b2o5$69b2o$69b2o2$65b2o$65bo$63b3o8$53bo$53bobo18b2o$
53b3o18bobo$55bo20bo2bo$76b4o2$78b4o$77bo3bo$77b2o$9b2o$9b2o53bo$63bob
o$65bo$55b2o$55b2o3$12bo$12b2o$11b2o2$71bo$69bobo$bo68bo$o$b2o$76b2o$
76b2o$21b2o$22bo40b2o$19b3o40bobo$15b2o2bo42bo$15bobobo41b2o10b2o$17bo
b2o52bo$17bo56b3o$16b2o58bo!

edit: merging a later post:

Alien conduit partial [...]

Here is another alien conduit partial, a dependent Herschel splitter (shown connected to the dependent syringe). The only issue is the leftover block:

Code: Select all

x = 75, y = 75, rule = B3/S234cHistory
4.A$3.2BA68.B$3.3AB5.A60.2B$4.4B4.3A57.3B$5.4B6.A55.4B$6.4B4.2A21.B
32.4B$7.4B2.2B21.3B30.4B$2A6.8B18.6B8.2B18.4B$.A7.7B12.4B2.7B3.7B16.
4B$.A.2A5.7B2.B2.2B2.26B14.4B$2.A2.A4.19BD23B12.4B$3.2AB3.20BDBD21B.
3B7.4B$4.14B2A9B3DB2A22B6.4B$5.13B2A11BDB2A21B2A4.4B$6.48B.B2A3.4B$6.
17B.B5.23B3.B3.4B$7.15B10.B2.20B4.4B$7.15B13.21B2.4B$8.13B14.26B$10.
13B12.25B$10.7B4.2A.A11.5B2.16B$10.5B6.2AB3A9.4B3.16B.B$8.6B8.B4.A14.
20B$8.2A11.2A.3A15.20B$9.A12.A.A15.22B$6.3A13.A.A14.20B$6.A16.A14.22B
$33.2B2.23B$11.2A20.27B$12.A19.28B$12.A.AB16.28B$13.2AB.2A14.26B3.B$
15.2B2AB12.28B.B2A$15.4B6.20B2D15B2A$15.6B3.4BD16B2D16B$16.6B2.4B3D
32B$16.7B.4BDBD24B.2B2.B$15.15BD25B$14.20B2.19B$13.18B9.8B2.5B$13.16B
11.7B3.5B$14.14B13.6B3.6B$13.16B12.6B4.6B$11.2AB.14B12.6B7.4B$10.A.AB
.6B3.3B.B2A10.6B8.4B$10.A4.6B7.BA.A9.D2B2D2B8.4B$9.2A4.D2B2D2B9.A9.B
3D4B2.2A4.4B$15.B3D4B2.2A4.2A6.4BD7BA.A4.4B$13.4BD7BA.A11.11B3.A5.4B$
13.11B3.A11.5B2A4B3.2A5.4B$13.5B2A4B3.2A10.5B2A3B12.4B$13.5B2A3B16.
10B13.4B$13.10B16.9B15.4B$13.9B17.9B16.4B$13.9B18.8B17.4B$14.8B17.8B
19.4B$13.8B19.6B21.4B$14.6B20.6B22.4B$14.6B20.6B23.4B$14.6B20.7B23.4B
$14.7B20.6B24.4B$15.6B19.6B26.3B$14.6B21.5B27.2B$15.5B21.6B27.B$15.6B
20.6B$15.6B20.6B$15.6B20.2B3DB$15.2B3DB20.2BD3B$15.2BD3B20.B3D2B$15.B
3D2B20.5B$15.5B23.B$17.B24.3B$16.3B23.B2AB$16.B2AB23.2A$17.2A!

The transparent block reaction is preserved in the sense that the transparent block is restored, but otherwise the reaction proceeds in a different way. Probably there are some more ways of completing it into alien dependent Herschel conduits:

Code: Select all

x = 14, y = 4, rule = Life_delta_S4c_v1
2A$.2A9.2A$2A10.2A$A!
#C [[ ZOOM 4 ]]

The Thessalonic G-to-H is preserved too:

Code: Select all

x = 68, y = 33, rule = B3/S234c
16b2o$17bo6b2o$17bobo4b2o$bo16b2o$2bo11bo$3o5bo5b3o$8b3o6bo$11bo4b2o$
10b2o27bo$39bo$28b2o9b3ob2o$28b2o11bob2o21b2o$66b2o6$18b2o$18b2o9b2o$
29bobo$6b2o23bo$5bobo23b2o$5bo$4b2o4b2o$11bo$8b3o$8bo16b2o$25bobo$18b
2o7bo$19bo7b2o$16b3o$16bo!

edit 1: a possible engineered completion of the Herschel splitter:

Code: Select all

x = 97, y = 85, rule = B3/S234c
37bo$38bo$36b3o6bo$45b3o$48bo$47b2o2$33b2o$34bo$34bob2o$35bo2bo23bo$
36b2o24bo$51b2o9b3ob2o$51b2o11bob2o21b2o$89b2o6$54b2obo$54b2ob3o$60bo$
41b2o11b2ob3o$42bo12bobo$39b3o13bobo$39bo16bo2$49b2o$49bo2bo$50b3o$42b
2o$42bobo5b3o42b2o$37bo6bo4bo2bo42b2o$37b3o4b2o3b2o10bo$29bo10bo20b3o$
29b3o7b2o22bo$32bo30bo$31b2o2$bo$obo$obo$bo$12bo15b2o$12bo15b2o$10b3o
71b2o$10bo73bobo$86bo$77b2o7b2o$77b2o$34b2o4b2o$34bo5b2o8b2o$35b3o12b
2o$37bo$46b2o$47bo$44b3o20b2o$44bo23bo$68bobo$69b2o2$41bo$39b3o$38bo$
38b2o$76b3o$76bo$75b2o4$28b2o$27bobo5b2o$27bo7b2o$26b2o$80b2o$40bo38bo
2bo$36b2obobo38b2o$35bobobobo$32bo2bobobobob2o$32b4ob2o2bo2bo$36bo4b2o
$34bobo$34b2o!

[confocaloid]

[...] It seems to be an occurrence of pufferfish (yl12_1_8_c7310da81295b6611e6e4e34a80a5523/b3s234c). [...]

Pufferfish appeared in the D4_+1 census, here is the soup:

Code: Select all

#C https://catagolue.hatsya.com/hashsoup/D4_+1/k_LpvCHfDcz43G3626067/b3s234c
#C Soup k_LpvCHfDcz43G3626067 was found on 2024-06-22 at 01:14:28 UTC and is owned by Anonymous
#C https://catagolue.hatsya.com/attribute/yl12_1_8_c7310da81295b6611e6e4e34a80a5523/b3s234c/D4_+1
x = 31, y = 31, rule = B3/S234c
bbboboobobbooobbbooobboboobobbb$
obbobbbbooooooobooooooobbbbobbo$
booobobbooobobbbbbobooobbobooob$
bbbobobobboooobbboooobbobobobbb$
ooboobbobbooboooooboobbobbooboo$
obbbbbboooobbobobobboooobbbbbbo$
bboobobbobooboobooboobobboboobb$
obboooobobbobooboobobboboooobbo$
oobobbobbooooooboooooobbobboboo$
obboooobbbbbbbobobbbbbbboooobbo$
booboobbooboobbobbooboobbooboob$
bbbbooooobooboboboboobooooobbbb$
oboboboboboboobbboobobobobobobo$
bbooobooboobobbbbbobooboobooobb$
obboboooooobbbbobbbboooooobobbo$
obobbboobobooobbboooboboobbbobo$
obboboooooobbbbobbbboooooobobbo$
bbooobooboobobbbbbobooboobooobb$
oboboboboboboobbboobobobobobobo$
bbbbooooobooboboboboobooooobbbb$
booboobbooboobbobbooboobbooboob$
obboooobbbbbbbobobbbbbbboooobbo$
oobobbobbooooooboooooobbobboboo$
obboooobobbobooboobobboboooobbo$
bboobobbobooboobooboobobboboobb$
obbbbbboooobbobobobboooobbbbbbo$
ooboobbobbooboooooboobbobbooboo$
bbbobobobboooobbboooobbobobobbb$
booobobbooobobbbbbobooobbobooob$
obbobbbbooooooobooooooobbbbobbo$
bbboboobobbooobbbooobboboobobbb!

Track the difference:

Code: Select all

x = 31, y = 31, rule = Life_delta_S4c_v1
3bob2obo2b3o3b3o2bob2obo$o2bo4b7ob7o4bo2bo$b3obo2b3obo5bob3o2bob3o$3bo
bobo2b4o3b4o2bobobo$2ob2o2bo2b2ob5ob2o2bo2b2ob2o$o6b4o2bobobo2b4o6bo$
2b2obo2bob2ob2ob2ob2obo2bob2o$o2b4obo2bob2ob2obo2bob4o2bo$2obo2bo2b6ob
6o2bo2bob2o$o2b4o7bobo7b4o2bo$b2ob2o2b2ob2o2bo2b2ob2o2b2ob2o$4b5ob2obo
bobob2ob5o$obobobobobob2o3b2obobobobobobo$2b3ob2ob2obo5bob2ob2ob3o$o2b
ob6o4bo4b6obo2bo$obo3b2obob3o3b3obob2o3bobo$o2bob6o4bo4b6obo2bo$2b3ob
2ob2obo5bob2ob2ob3o$obobobobobob2o3b2obobobobobobo$4b5ob2obobobob2ob5o
$b2ob2o2b2ob2o2bo2b2ob2o2b2ob2o$o2b4o7bobo7b4o2bo$2obo2bo2b6ob6o2bo2bo
b2o$o2b4obo2bob2ob2obo2bob4o2bo$2b2obo2bob2ob2ob2ob2obo2bob2o$o6b4o2bo
bobo2b4o6bo$2ob2o2bo2b2ob5ob2o2bo2b2ob2o$3bobobo2b4o3b4o2bobobo$b3obo
2b3obo5bob3o2bob3o$o2bo4b7ob7o4bo2bo$3bob2obo2b3o3b3o2bob2obo!

[WhiteHawk]

David Hilbert's beehive push triggers S4c in the oscillator, causing a slight spark displacement 2 generations later (EDIT: Though there is no P23 gun, there now is an oscillator which triggers S4c at p23)

Code: Select all

x = 33, y = 26, rule = Life_delta_S4c_v1
7b2o15b2o$8bo15bo$6bo19bo$6b5o11b5o$10bo11bo$4b4o17b4o$4bo2bo17bo2bo$
8b3o$8b2obo$7bo6b2ob2o$8b4o2b2ob2o$9b2o12bo$11bo10b3o$21b2o$3b2o3bo2b
o4b2ob3o2b2o2b2o$3bo4b3o4bo2bob2o7bo$2obo12b2ob3o7bob2o$ob2ob2o14bob2o
b2ob2obo$5bo16bo4bo$5bobo19bo$6b2o16b3o$10bo11bo$6b5o11b5o$6bo19bo$8b
o15bo$7b2o15b2o!

EDIT: It's not the only one. Same thing happens with the p345 LCM oscillator, which has a slightly more interesting spark change (The catalyst fails, though)

Code: Select all

x = 58, y = 48, rule = Life_delta_S4c_v1
49bo$49bo$41b3o$49bo$40bo3bo3bobo$41b3o$48b3o3$48b3o$21b2o18b3o$15bob
2obobo17bo3bo3bobo$6b2o7b2obobo28bo$2b2obobo11b2o20b3o$3bobo43bo$3bob
2o35bo6bo$2obo28b2o7bobo$o2b4o25bo3bo4bobo$b2o3bo23bobo2bobo4bo$3b3o24b
2o4bo$3bo15b3o$bobo15bo$b2o16bo$20b2obo9b2o$23b2o9bob2o$38bo16b2o$38b
o15bobo$36b3o15bo$21bo4b2o24b3o$15bo4bobo2bobo23bo3b2o$14bobo4bo3bo25b
4o2bo$14bobo7b2o28bob2o$8bo6bo35b2obo$8bo43bobo$14b3o20b2o11bobob2o$8b
o28bobob2o7b2o$7bobo3bo3bo17bobob2obo$14b3o18b2o$7b3o3$7b3o$14b3o$7bo
bo3bo3bo$8bo$14b3o$8bo$8bo!

Are there more beehive push oscillators which work here? (EDIT 2: or just more alien oscillators in this rule?)

EDIT 2: P116 R-hassler from life with different evolution in B3/S234c

Code: Select all

x = 47, y = 47, rule = Life_delta_S4c_v1
19.2A5.2A$13.A.2A.A.A5.A$13.2A.A.A4.2A.A$17.2A4.A.A3$18.2A$18.2A2$31.
A$30.A.A$18.2A11.A$18.2A$.2A$2.A33.A$.A33.A.A$.2A28.2A2.A2.A$3.A$.3A2.
2A3.2A17.A3.A$A5.2A3.2A10.2A3.5A3.A2.2A5.A$2A20.A.A2.A.A4.A6.A2.3A$22.
A.A.A7.A4.2A2.A$20.2A.A3.A.A4.A2.A6.A$2.2A15.A2.A.A9.A.A6.2A$2.A16.3A
.A11.A$3.A$3A18.A23.2A$A19.A.A11.2A3.2A5.A$19.A14.2A3.2A2.3A$19.2A.A20.
A$10.A7.2A24.2A$9.A.A4.A2.A25.A$10.A5.A2.A24.A$44.2A$18.A.4A3.2A$15.2A
7.A2.2A$14.A4.A3.A$15.A6.A$16.A$19.A.A5.2A$19.A.A5.2A$20.A2$21.A.A4.2A
$20.A.2A4.A.A.2A$20.A5.A.A.2A.A$19.2A5.2A!

EDIT 3: P46 Beehive hassler

Code: Select all

x = 69, y = 12, rule = Life_delta_S4c_v1
8.A3.2A34.A3.2A$2A4.2A.A.3A13.2A11.2A4.2A.A.3A13.2A$2A4.A4.3A13.2A11.
2A4.A4.3A13.2A$6.A3.A35.A3.A$7.3A37.3A$21.2A3.2A$7.3A10.3A3.3A18.3A$6.
A3.A7.3A7.3A2.2A11.A3.A$2A4.A4.3A4.3A7.3A.A2.A10.A4.3A13.2A$2A4.2A.A.
3A4.3A7.3A2.2A11.2A.A.3A13.2A$8.A3.2A6.3A3.3A19.A3.2A$21.2A3.2A!

P15 Beehive hassler

Code: Select all

x = 41, y = 32, rule = Life_delta_S4c_v1
.3A33.3A$A3.A4.A21.A4.A3.A$A3.A3.A.A19.A.A3.A3.A$.3A4.A.2A17.2A.A4.3A
$7.2A23.2A3$7.2A23.2A$.3A4.A.2A17.2A.A4.3A$A3.A3.A.A19.A.A3.A3.A$A3.A
4.A21.A4.A3.A$.3A33.3A3$9.A21.A$8.A.A19.A.A$8.A.A19.A.A$9.A21.A$8.A.A
19.A.A$9.A21.A$8.3A5.A13.3A5.A$8.3A5.A13.3A5.A$8.3A4.A.A12.3A4.A.A$9.
A6.A14.A6.A$16.A21.A$16.A21.A$9.A6.A14.A6.A$8.3A4.A.A12.3A4.A.A$8.3A5.
A13.3A5.A$8.3A5.A13.3A5.A$9.A21.A$9.A21.A!

This means there is one S4c beehive hassling mechanism for Composite Odd, Composite Even, Prime, and LCM periods.

[confocaloid]

Variant of p112 lom shuttle that gives off a massively edgy spark:

Code: Select all

x = 41, y = 32, rule = B3/S23
22b2o2bo$18b2o2b2o3bo$18b2o7bo$23b4o9$10b2o$10b2o$10b2o$10b3o$4b2o4bob
o$2bob2o4bo2bo5b4o$bo9bobo5b4o$4bo7bo7bo2bo$2obo27bo$2o7bo20bobo$8bobo
20bo7b2o$9bo27bob2o$29b2o5bo$29b3o7bo$29b3o3b2obo$35b2o$11b2o$11bobo$
12bo16b2o$29b2o!

[...]

Two variants of a p3472 glider gun using that p112 LoM shuttle and the alien p62 sparker, 3472 = lcm(112, 62):

Code: Select all

x = 201, y = 44, rule = B3/S234c
183bo$183bo$184bo2$74bo$74bo$75bo3$22b2o2bo104b2o2bo$18b2o2b2o3bo99b2o
2b2o3bo44bo$18b2o7bo99b2o7bo43b3o$23b4o105b4o47bo$178bobo2b2o$72bo104b
2obo2b3o$71b3o101bob2obo3bo$74bo88bo10b13o$69bobo2b2o85b2o10b3ob2o3b6o
$30bo18bo18b2obo2b3o62bo18bo13bo4b2o5bo$50b2o14bob2obo3bo83b2o10b2o4bo
6b4obo$54bo10b13o94bob4o6bo4b2o$10b2o16bo23b2o10b3ob2o3b6o40b2o16bo39b
o5b2o4bo$10b2o15bo35bo4b2o5bo43b2o15bo37b6o3b2ob3o10b2o$22bo5bo33b2o4b
o6b4obo50bo5bo37b13o10bo$21bobo39bob4o6bo4b2o48bobo44bo3bob2obo$4b2o
13bo3b2o43bo5b2o4bo32b2o13bo3b2o42b3o2bob2o$2bob2o3b3o6bo3b2o41b6o3b2o
b3o10b2o19bob2o3b3o6bo3b2o44b2o2bobo$bo7b3o6bo4bo42b13o10bo20bo7b3o6bo
4bo45bo$4bo5b2o6bo49bo3bob2obo35bo5b2o6bo51b3o$2obo16b2o9bo35b3o2bob2o
33b2obo16b2o9bo39bo$2o7bo20bobo35b2o2bobo34b2o7bo20bobo$8bobo20bo7b2o
28bo47bobo20bo7b2o$9bo27bob2o29b3o45bo27bob2o$28bo7bo34bo65bo7bo$27bob
o9bo96bobo9bo$27bo2bo4b2obo97bo2bo4b2obo$28bobo4b2o100bobo4b2o$11b2o
15b3o89b2o15b3o37bo$11bobo15b2o89bobo15b2o38bo$12bo16b2o90bo16b2o38bo$
29b2o107b2o$68bo$69bo$69bo!
#C [[ MAXGRIDSIZE 9 ]]

[WhiteHawk]

Variant of p112 lom shuttle that gives off a massively edgy spark:

Code: Select all

x = 41, y = 32, rule = B3/S23
22b2o2bo$18b2o2b2o3bo$18b2o7bo$23b4o9$10b2o$10b2o$10b2o$10b3o$4b2o4bob
o$2bob2o4bo2bo5b4o$bo9bobo5b4o$4bo7bo7bo2bo$2obo27bo$2o7bo20bobo$8bobo
20bo7b2o$9bo27bob2o$29b2o5bo$29b3o7bo$29b3o3b2obo$35b2o$11b2o$11bobo$
12bo16b2o$29b2o!

[...]

In terms of actual unique B3/S234c oscillators, p112 beehive hassler which does not work in life (mod 56).

Code: Select all

x = 112, y = 110, rule = B3/S234c
42b2o$42b2obo$46bo$43bo$44bob2o$46b2o3$41bo$40bobo2b2o$41bo2b3o3b2o$34b
2o8b3o3b2o$33bobo$34bo2$42bo$31b2o7bobobo$29bob2o6bo5bo$29bob2o7bo3bo
16b2o$35b2o24b2o$36b2o3bo2bo$31b2obobo8b3o$31b2ob2o9bobo14b2o$32b3o7b
2ob2o13bob2o$60bo$60bo$60bo2bo$37b2o14bobo5b2o$35b2o2bo13bobo$32b4o2b
o$32b6o4bo10b3o$41bobo9bo26b2o$42bo10b2o25b2o16bo$53bobo36bo4bobo$49b
2ob2o20bo16bobo4b2o$36b2o11bo2bo37bo2bo$36b2obo10b3o19b3obobobo8b5o$40b
o30bob2o5b2o6b3o$37bo33b2obo6bo7bo2bo$38bob2o10bo16bob3o16b2o9bo$40b2o
9b4o24bo20bobo6bo$51bo3bo15bo6bobo20bo$52bo2bo23bo27b3obo$52b3o43bo7b
ob2o$97bobo6b2obo$88b3o6bo2bo3bob3o$88b2o8b3o$23bo75bo6bo$19b2o2b2ob3o
$19b2o4b4o57bo12b2o$23b2o60bobo11b2o$84bo2bo4bo$83b2obo3b3o$84b2o4b3o
$29b2o$32bo$29b2obo16bobo2b2o$51bobo2bo$48bo2bo2b2o$11b2o16b2o17bo38b
2o$11b2o15bo54b4o4b2o$23bo5b2o52b3ob2o2b2o$5bo16bobo63bo$21bo2bo$3b3o
bobobo8b5o$2bob2o5b2o6b3o$2b2obo6bo7bo2bo$ob3o16b2o9bo$10bo20bobo6bo$
2bo6bobo20bo37b2o$10bo27b3obo27b2obo$29bo7bob2o33bo$28bobo6b2obo30bo$
28bo2bo3bob3o32bob2o$29b3o42b2o$12b2o16bo6bo$12bobo$13bo16b2o37bo$30b
2o36bobo2b2o$69bo2b3o3b2o$72b3o3b2o2$49b2o$48bo2bo6b2ob2o$51bo5bobo10b
o$51bo5b3o8bobobo$48b2obo8bo2bo3bo5bo$48b2o18bo3bo$59bo4bo$64b2o3bo2b
o$49b2o7bo3bobo8b3o$49b2o8bo2b2o9bobo$60b3o7b2ob2o4$65b2o10bo$63b2o2b
o8bobo$60b4o2bo9b2o$60b6o4bo$69bobo$70bo3$64b2o$64b2obo$68bo$65bo$66b
ob2o$68b2o!

EDIT: Fixed sparker timing to make the oscillator mod28

Code: Select all

x = 112, y = 112, rule = B3/S234c
43bo$42b3o$41b3obo$42bo3bo$43bo3bo$44bob3o$45b3o$46bo2$41b2o$40bo3bo$
41bo4b2o2b2o$34b2o6bo4bo2b2o$33bobo8b3o$34bo2$37b2o$34b2o2bo$32bob2o3b
4o$32b2o3bo3b2obo16b2o$32bob2o3bo3b2o16b2o$34b4o3b2obo16b2o$38bo2b2o19b
o$38b2o21bobo$60b2obo2$53bo$37b2o14bo7b2o$35bo2bo13b4o5b2o$39bo$32b2o
4bo13bo$32bo5bo3bo9b2obo$37bo3bobo7bob3o24b2o$33bo8bo9bo2bo24b2o16bo$
51b3o38bo4bobo$37bo14b3o19bo16bobo4b2o$36b3o12bo2b2o34bo2bo$35b3obo12b
3o17b3obobobo8b5o$36bo3bo12bo17bob2o5b2o6b3o$37bo3bo29b2obo6bo7bo2bo$
38bob3o26bob3o16b2o9bo$39b3o37bo20bobo6bo$40bo30bo6bobo20bo$79bo27b3o
bo$98bo7bob2o$97bobo6b2obo$88b3o6bo2bo3bob3o$88b2o8b3o$23bo75bo6bo$19b
2o2b2ob3o$19b2o4b4o57bo12b2o$23b2o60bobo11b2o$84bo2bo4bo$83b2obo3b3o$
84b2o4b3o$29b2o$32bo$29b2obo16bobo2b2o$51bobo2bo$48bo2bo2b2o$11b2o16b
2o17bo38b2o$11b2o15bo54b4o4b2o$23bo5b2o52b3ob2o2b2o$5bo16bobo63bo$21b
o2bo$3b3obobobo8b5o$2bob2o5b2o6b3o$2b2obo6bo7bo2bo$ob3o16b2o9bo$10bo20b
obo6bo30bo$2bo6bobo20bo37b3o$10bo27b3obo26b3obo$29bo7bob2o29bo3bo$28b
obo6b2obo30bo3bo$28bo2bo3bob3o32bob3o$29b3o41b3o$12b2o16bo6bo36bo$12b
obo$13bo16b2o37b2o$30b2o36bo3bo$69bo4b2o2b2o$70bo4bo2b2o$72b3o$49b2o$
49b2o$65b2o$62b2o2bo$48bob2o8bob2o3b4o$48bobo9b2o3bo3b2obo$49bo10bob2o
3bo3b2o$49b2o11b4o3b2obo$49b2o15bo2b2o$49b2o15b2o4$65b2o$63bo2bo10bo$
67bo8bobo$60b2o4bo9b2o$60bo5bo3bo$65bo3bobo$61bo8bo2$65bo$64b3o$63b3o
bo$64bo3bo$65bo3bo$66bob3o$67b3o$68bo!

EDIT 2: more standard Beehive hassler

Code: Select all

x = 119, y = 79, rule = B3/S234c
55b2o$55b2o16bo$49b2o21bobo$73b2o$48bo3bo14bo$47bo4bo13b3o$46bobobo3b
3o9bobo$45bobobo6bo8bobo$43bo4bo17bo9bo7b2o$20b4o19bo3bo6bo11bo8bobo$
19bo7b2o24bobo20bo6bo3bo$19bo3b2o2b2o16b2o7bo27bo4bo$20bo2b2o48bo7bob
obo$72bobo5bobobo$72bo2bo2bo4bo$73b3o2bo3bo$43bo$31bo11b3o34b2o$30bob
4o5b2o3bo9bobo15b2o$29bo3bob3o8bo8bo4bo13b2o$30bo2bobobo5bob2o7bo2b3o
$11b2o18b3ob2o7bo8b2ob5o$11b2o41b2o$34b3o20bo2bo$4b3o28b2o23bo$7bo3b2o
9b3o32bobo$3bo3bo3bobo8bo2bo32bo$2bobo2bo5b2o3b2o5bo$o2bobo11bo2b5o$o
3bo12bo3b2o9bo$o9bo20bobo5b3o$b3o5bobo5bobo12bo9bo$10bo6bobo18bo3bo$18b
o9b3o6bobo2bo$20b3o4b5o3bo2bobo$19bo3bo3b2o2bo3bo3bo$19b2o14bo$12b2o7b
2obo11b3o20bo$12bobo43bobo26b2o$13bo3bo8bo3b2o26bobo26b2o16bo$16bobo6b
o4b2o27bo44bobo$18bo61b3o22b2o$16b2o65bo3b2o9b3o$79bo3bo3bobo8bo2bo$78b
obo2bo5b2o3b2o5bo$76bo2bobo11bo2b5o$76bo3bo12bo3b2o9bo$76bo9bo20bobo5b
3o$77b3o5bobo5bobo12bo9bo$86bo6bobo18bo3bo$94bo9b3o6bobo2bo$97b2o4b5o
3bo2bobo$99bo3b2o2bo3bo3bo$111bo$97b3o12b3o2$93bo6bo5b2o$91b4o4bobo4b
2o$90bo4bo3b2o$43b2o45bo2b2o$43b2o46b3o$37b2o2$36bo3bo14bo$35bo4bo13b
3o$34bobobo3b3o9bobo$33bobobo6bo8bobo38b2o2bo$31bo4bo17bo9bo7b2o16b2o
2b2o3bo$31bo3bo6bo11bo8bobo24b2o7bo$41bobo20bo6bo3bo19b4o$33b2o7bo27b
o4bo$61bo7bobobo$60bobo5bobobo$60bo2bo2bo4bo$61b3o2bo3bo$44b2o$44bobo
21b2o$45bo16b2o$62b2o!

[confocaloid]

[...] In terms of actual unique B3/S234c oscillators, p112 beehive hassler which does not work in life (mod 56).
[...] EDIT: Fixed sparker timing to make the oscillator mod28 [...]

Variants (p124, p186, p336 mod84):

Code: Select all

x = 320, y = 114, rule = B3/S234c
250b2o2$248bo3bo$248bo4bo$250bobobo$251bobobo$252bo4bo$253bo3bo2$254b
2o$249bo$248bobo2bo$249bo3bo4b2o$242b2o8b2o4b2o$241bobo$242bo5$31bo94b
o142b2o$30b3o92b3o124b3o14bo2bo$25bo3b2obo87bo3b2obo123bo3bo$26bo94bo
129bo4bo12bo2bo$25bo94bo131b2ob2o11bo2bo$255b2o11bobo$29bo94bo144bo$
19b2o8b2o4bobo76b2o8b2o4bobo$18b2o16bo76b2o16bo137b2o$19b2o4bo88b2o4bo
124b2o22b2o$20bo3b2o89bo3b2o123bo2bo9b3o2bobo$32b2o3bo89b2o3bo20b3o84b
2o2bobo11b2o2b3o$32bo4b2o88bo4b2o18bo3bo83b2o2b2o4bo12bo$21bo16b2o76bo
16b2o114bobo10b2o24b2o$20bobo4b2o8b2o76bobo4b2o8b2o18b2o96bo37b2o16bo$
28bo94bo31bobo86b2o59bobo$282bo23b2o$32bo94bo114bo3bo34bobo4bo$31bo22b
o71bo115bo4bo32bo3bo3b2o$25bob2o3bo20b3o64bob2o3bo116bobobo30bo3bo5b2o
6bo$25b3o25bob2o3bo59b3o27b3o92bobobo28bo3bo5b2o7bo$26bo32bo42b3o16bo
31bo92bo4bo25bo3bo5b2o7bobo10bo$60bo40bo3bo43bo4bo92bo3bo26bobo6b2o19b
obo6bo$138bo10bo4bo124bo6bobo6b2ob2o9bo6bobo$56bo47b2o29bo14bo3bo93b2o
37bo7bo3bo15bo3bo$48bobo4b2o8b2o33bobo31bo3bo11bo2bo143b4o5bo7bo3bo$
49bo16b2o66bo10b3o4bo4b2o135bob2obo5bobo5bo3bo$60bo4b2o67bo2bo6bo3bo6b
2o3bo132b4o7b2o2b2o2bo3bo$8bo51b2o3bo69bobo5bo5bo10bo133bo3bo6b2ob2o3b
obo$7b3o38bo3b2o89bo10bo5bo5bobo62b2o26b2o33b2ob2o6b3ob2o3bo$7bob2o3bo
32b2o4bo51b3o35bo3b2o6bo3bo6bo2bo57b2obo2bob2o23b3o45b3o$13bo32b2o16bo
39bo40b2o4bo4b3o10bo57b2o2bo4bo23b3o32bobo9bobo$14bo32b2o8b2o4bobo37bo
4bo41bo2bo11bo3bo62bo28bo34bo10b2o$57bo45bo4bo10bo29bo3bo14bo64bobo60b
o$10bo92bo3bo14bo26bo4bo10bo95bo$2bobo4b2o8b2o11b2o19bo50bo2bo11bo3bo
3b2o20bo4bo105bobo$3bo16b2o9bo2bo19bo44b2o4bo4b3o10bo2bo2bo20bo86bo2bo
19bobo$14bo4b2o11b2o19bo3b2obo36bo3b2o6bo3bo6bo2bo3b2o22b3o83bo2bo20bo
$14b2o3bo38b3o36bo10bo5bo5bobo112bo4bo2b3o$2bo3b2o51bo29bobo5bo5bo10bo
120bo3b2obo2bo$b2o4bo80bo2bo6bo3bo6b2o3bo120bo5bo3bo46bobo$2o16bo69bo
10b3o4bo4b2o106b2o16bobo3b2o50bo$b2o8b2o4bobo68bo3bo11bo2bo38bobo70b2o
20bo49bo4bo2b2o$11bo77bo14bo3bo41b2o139b2obo2bob2o$92bo10bo4bo104bo81b
2o$7bo95bo4bo38bo3bo60bobo4bo$8bo32bo65bo23bo16b3o60bo3bo3b2o$7bo3b2ob
o25b3o61b3o23b3o77bo3bo5b2o6bo$12b3o20bo3b2obo87bob2o3bo71bo3bo5b2o7bo
$13bo22bo99bo71bo3bo5b2o7bobo10bo37b2o$35bo101bo71bobo6b2o19bobo6bo$
210bo6bobo6b2ob2o9bo6bobo26bo3bo$39bo69bobo21bo84bo7bo3bo15bo3bo25bo4b
o$29b2o8b2o4bobo58b2o17bobo4b2o8b2o84b4o5bo7bo3bo28bobobo$28b2o16bo79b
o16b2o80bob2obo5bobo5bo3bo30bobobo$29b2o4bo70bo3bo26bo4b2o80b4o7b2o2b
2o2bo3bo32bo4bo$30bo3b2o71b3o27b2o3bo82bo3bo6b2ob2o3bobo34bo3bo$42b2o
3bo77bo3b2o89b2o3b2ob2o6b3ob2o3bo$42bo4b2o75b2o4bo89bobo16b3o40b2o$31b
o16b2o73b2o16bo79bo4bobo9bobo36bo$30bobo4b2o8b2o75b2o8b2o4bobo84bo10b
2o36bobo2bo$38bo95bo92bo49bo3bo4b2o$280b2o4b2o$42bo87bo$41bo89bo125b2o
$35bob2o3bo87bo3b2obo119b2o6b3o$35b3o97b3o127bo2bo$36bo99bo121bo7bo2bo
$257bobo7b2o$256bo2bo12bo$255bo2bo13b2o6b3o$266bobo4bo5bo3bo$255bo2bo
6b2obo3bo6bo4bo$257b2o7bo13b2ob2o$283b2o4$273b2o10bo$272bo2bo8bobo$
268b2o2bobo9b2o$268b2o2b2o4bo$277bobo$278bo$272b2o2$270bo3bo$270bo4bo$
272bobobo$273bobobo$274bo4bo$275bo3bo2$276b2o!

There are also similar traffic light hasslers (p124, p186, p248), these are known at least since July 2022 according to my notes:

Code: Select all

x = 259, y = 76, rule = B3/S234c
96b2o$8bo85b2o4bo$7b3o83b2o5b2o$7bob2o3bo79bo2b2o$13bo79bo7bo113bo$14b
o78bo4b2o114b3o$98bo4b2obo107bob2o3bo$10bo78bobo6bo6b3o112bo$2bobo4b2o
8b2o67b2o17bo113bo$3bo16b2o70bo15bo$14bo4b2o69bob3o10bo2bo108bo$14b2o
3bo67bo2bo10b3obo103bobo4b2o8b2o$2bo3b2o79bo15bo106bo16b2o$b2o4bo80bo
17b2o16b3o94bo4b2o$2o16bo69b3o6bo6bobo16bo3bo93b2o3bo$b2o8b2o4bobo69bo
b2o4bo111bo3b2o$11bo84b2o4bo23b2o80b2o4bo$94bo7bo19bobo82b2o16bo$7bo
89b2o2bo106b2o8b2o4bobo$8bo85b2o5b2o115bo$7bo3b2obo80bo4b2o$12b3o83b2o
114bo$13bo113b3o85bo$126bo87bo3b2obo$125bo4bo88b3o23bo$125bo4bo10bo78b
o23b3o$125bo3bo14bo99bob2o3bo$126bo2bo11bo3bo104bo$121b2o4bo4b3o10bo
105bo$75bo43bo3b2o6bo3bo6bo2bo$74b3o42bo10bo5bo5bobo102bo$73b2o2bo33bo
bo5bo5bo10bo102bobo4b2o8b2o$13b3o59b3o32bo2bo6bo3bo6b2o3bo103bo16b2o$
121b3o4bo4b2o116bo4b2o$11bo5bo89b2o5bo11bo2bo65bo55b2o3bo$11bo5bo83bo
5b2o17bo3bo63b3o23b3o16bo3b2o$11bo5bo58b2o9bo13bo4b3o5bo10bo4bo63bob2o
3bo36b2o4bo$76b2o9b2o11bobo22bo4bo69bo17bo5bo12b2o16bo$13b3o70bob2o11b
o27bo71bo16bo5bo13b2o8b2o4bobo$81b2o3bobo12bo24b3o89bo5bo23bo$81b2o3b
2o109bo$68b2o3b2o114bobo4b2o8b2o12b3o21bo$67bobo3b2o115bo16b2o36bo$66b
2obo131bo4b2o36bo3b2obo$67b2o9b2o51bobo67b2o3bo42b3o$68bo9b2o48b2o59bo
3b2o55bo$109b3o76b2o4bo$108bo2bo16bo3bo54b2o16bo$18bo93bo16b3o56b2o8b
2o4bobo$17b3o58b3o27b2o88bo$17bob2o3bo53bo2b2o25b2o3bo$23bo55b3o31bo
80bo$24bo55bo30bo83bo$194bo3b2obo$20bo178b3o23bo$12bobo4b2o8b2o66b2o7b
3o91bo23b3o$13bo16b2o63bo11bobo114bob2o3bo$24bo4b2o62b2o4bo8b2o120bo$
24b2o3bo63bo137bo$12bo3b2o75bo2b2o5b2o8bo$11b2o4bo76bob2o4bobo7b2o113b
o$10b2o16bo73b2o7bobo4b2obo97bobo4b2o8b2o$11b2o8b2o4bobo72bo8b2o5b2o2b
o97bo16b2o$21bo100bo108bo4b2o$106b2o8bo4b2o108b2o3bo$17bo88bobo11bo98b
o3b2o$18bo88b3o7b2o99b2o4bo$17bo3b2obo192b2o16bo$22b3o193b2o8b2o4bobo$
23bo80bo123bo$102bo$102bo3b2o116bo$106b2o117bo$103bo120bo3b2obo$104bo
2bo121b3o$104b3o123bo!

[confocaloid]

Speaking about 3c/10, does anyone already have (something equivalent to) the best partial for the following qfind invocation, or some information or approximation of the best partial? (To be clear, I didn't run this search and I'm not currently running this.) Or similar information for other symmetry or higher width? User:Sokwe/Spaceship searches doesn't seem to answer this.

Code: Select all

./qfind -v 3c/10 -s odd -w 9

What I *did* run was a 3c/10 search for B3/S234c. As expected, it completed without finding any spaceship. Here is the printed longest partial result. How it compares to what can be found in Conway's Life? I'm unlikely to try wider searches (not enough memory).

Code: Select all

x = 17, y = 41, rule = Life_delta_S4c_v1
5bo5bo$5bo5bo$3b2obo3bob2o2$3bo9bo$5bo5bo$b3o2bo3bo2b3o$b5obobo
b5o$2b2o3bobo3b2o$4b2obobob2o$7bobo$7bobo$3bo3bobo3bo$3b2o2bobo2b
2o$3b3o5b3o$2b2obo5bob2o$2b2o9b2o$6bo3bo$3b3o5b3o$2b3o7b3o$2bobo
7bobo$b2ob3o3b3ob2o$4b2o5b2o$5b2o3b2o$2b2o4bo4b2o$2b3ob2ob2ob3o$
4b2ob3ob2o$4b3o3b3o$4bo7bo$2bo3bo3bo3bo$2bob2o5b2obo$2bo2bo5bo2b
o2$bo2bo7bo2bo$o2b2obo3bob2o2bo$4b3obob3o$3o4bobo4b3o2$4b9o$3b5o
b5o$b2o5bo5b2o!

Code: Select all

#C qfind v2.4b by Matthias Merzenich, 13 September 2024
#C Input: ./qfind -r B3/S234c -v 3c/10 -s odd -w 9
#C ...
#C 0 spaceships found.
#C Maximum depth reached: 411
#C Longest partial result:
x = 17, y = 41, rule = B3/S234c
5bo5bo$5bo5bo$3b2obo3bob2o2$3bo9bo$5bo5bo$b3o2bo3bo2b3o$b5obobo
b5o$2b2o3bobo3b2o$4b2obobob2o$7bobo$7bobo$3bo3bobo3bo$3b2o2bobo2b
2o$3b3o5b3o$2b2obo5bob2o$2b2o9b2o$6bo3bo$3b3o5b3o$2b3o7b3o$2bobo
7bobo$b2ob3o3b3ob2o$4b2o5b2o$5b2o3b2o$2b2o4bo4b2o$2b3ob2ob2ob3o$
4b2ob3ob2o$4b3o3b3o$4bo7bo$2bo3bo3bo3bo$2bob2o5b2obo$2bo2bo5bo2b
o2$bo2bo7bo2bo$o2b2obo3bob2o2bo$4b3obob3o$3o4bobo4b3o2$4b9o$3b5o
b5o$b2o5bo5b2o!

[hotcrystal0]

As shown here, the beehive push catalyst sometimes does not work but also sometimes works:

Code: Select all

x = 16, y = 40, rule = Life_delta_S4c_v1
10.2A$6.2A2.A.A$6.A.A.A2.A$8.A.A.2A$7.2A.A$10.A.2A$10.A.A2.A$.2A2.2A4.
A2.2A$2.A.A2.A$.2A2.2A4.A2.2A$10.A.A2.A$10.A.2A$7.2A.A$8.A.A.2A$6.A.A
.A2.A$6.2A2.A.A$10.2A7$10.2A$6.2A2.A.A$6.A.A.A2.A$8.A.A.2A$7.2A.A$10.
A.2A$2A8.A.A2.A$A.A2.2A4.A2.2A$2.A.A2.A$2.A2.2A4.A2.2A$.A8.A.A2.A$10.
A.2A$7.2A.A$8.A.A.2A$6.A.A.A2.A$6.2A2.A.A$10.2A!

[WhiteHawk]

P56 Phi-spark based gun triggers S4c in one phase

Code: Select all

x = 43, y = 41, rule = Life_delta_S4c_v1
2.A$2.3A$5.A$4.2A2$7.2A$6.A.A$6.2A29.2A$37.A3.2A$22.2A9.2A4.A2.A$5.A16.
A5.2A3.2A3.4A$4.3A16.3A.A.A$3.A3.A17.A.A10.2A$4.A3.2A16.2A10.A.A$4.A.
A.2A6.A22.2A$2.A2.2A.2A6.2A$2A.2A2.A7.A2.A$2A.A.A10.A.A$2A3.A10.2A$2.
A3.A$3.3A25.2A$4.A25.A2.A$31.2A$11.2A$2.2A6.A.A$.A.A6.A$.2A6.2A23.2A$
29.2A3.A$4.2A8.A14.3A3.3A$4.A8.3A13.2A.A4.A$5.3A.2A.A3.2A4.2A7.A.A$7.
A.2A2.2A2.A4.2A6.A2.A$14.2A.A13.2A4$14.2A.A$9.2A2.2A2.A4.2A$9.2A.A3.2A
4.2A$13.3A$14.A!

[hth3]

Two Confocaloid's p62 hassling beehive

Code: Select all

x = 64, y = 51, rule = B3/S234c
20b3o2$22bo$19b2o6$18b2o$20bo$17bo3bo$16bo5bo$16b2obo2bo23b3o$16bobo3b
o$obo9b3o2bob3o26bo$o10bo3bo7b3o19b2o$o2bo6bo4bo6bobobo$3bo5bo3bobo7b
o4bo$9bo4bo7bobo3bo5bo$11bobobo6bo4bo6bo2bo$12b3o7bo3bo10bo$16b3obo2b
3o9bobo6b2o$15bo3bobo24bo$15bo2bob2o9b2o10bo3bo$15bo5bo8bo2bo8bo5bo$16b
o3bo10b2o9b2obo2bo$17bo24bobo3bo$18b2o6bobo9b3o2bob3o$26bo10bo3bo7b3o
$26bo2bo6bo4bo6bobobo$29bo5bo3bobo7bo4bo$35bo4bo7bobo3bo5bo$37bobobo6b
o4bo6bo2bo$17b2o19b3o7bo3bo10bo$15bo26b3obo2b3o9bobo$41bo3bobo$15b3o23b
o2bob2o$41bo5bo$42bo3bo$43bo$44b2o6$43b2o$41bo2$41b3o!

Two Confocaloid's p62 hassling block and blinker

Code: Select all

x = 63, y = 38, rule = B3/S234c
20b3o2$22bo$19b2o5$52bo$18b2o32bo$20bo30b2obo$17bo3bo26b3o2b3o$16bo5b
o28b4ob2o$16b2obo2bo22b2ob2ob2o2b3o$16bobo3bo22b2o4b2o$obo9b3o2bob3o22b
obo10bobo$o10bo3bo7b3o17b3o11bobo$o2bo6bo4bo6bobobo17b2o13bo$3bo5bo3b
obo7bo4bo12b3ob3o8b3obo$9bo4bo7bobo3bo5bo8bob3o8b3ob3o$11bobobo6bo4bo
6bo2bo6bo13b2o$12b3o7bo3bo10bo6bobo11b3o$16b3obo2b3o9bobo6bobo10bobo$
15bo3bobo29b2o4b2o$15bo2bob2o24b3o2b2ob2ob2o$15bo5bo24b2ob4o$16bo3bo27b
3o2b3o$17bo31bob2o$18b2o31bo$51bo5$17b2o$15bo2$15b3o!

[b-engine]

Two Confocaloid's p62 hassling beehive

The beehive undergoes destruction and reconstruction, therefore cannot been described as "hassled".

[hth3]

Confocaloid's p62 hassling blinker:

Code: Select all

x = 42, y = 40, rule = B3/S234c
22bo$22bo$23bo8$20bo$19b3o$22bo$17bobo2b2o$16b2obo2b3o$14bob2obo3bo$2b
o10b13o$2o10b3ob2o3b6o12b3o$11bo4b2o5bo$10b2o4bo6b4obo$11bob4o6bo4b2o
$16bo5b2o4bo$13b6o3b2ob3o10b2o$14b13o10bo$16bo3bob2obo$15b3o2bob2o$16b
2o2bobo$17bo$18b3o$19bo8$16bo$17bo$17bo!

Hassling block:

Code: Select all

x = 41, y = 40, rule = B3/S234c
17bo$17bo$16bo8$19bo$18b3o$17bo$16b2o2bobo$15b3o2bob2o$16bo3bob2obo$14b
13o12b2o$13b6o3b2ob3o11b2o$16bo5b2o4bo$11bob4o6bo4b2o$10b2o4bo6b4obo$
11bo4b2o5bo$2o10b3ob2o3b6o$2bo10b13o$14bob2obo3bo$16b2obo2b3o$17bobo2b
2o$22bo$19b3o$20bo8$23bo$22bo$22bo!

[CARuler]

Two Confocaloid's p62 hassling beehive

The beehive undergoes destruction and reconstruction, therefore cannot been described as "hassled".

then you could argue this for every hassler

Code: Select all

x = 33, y = 26, rule = B3/S23
7b2o15b2o$8bo15bo$6bo19bo$6b5o11b5o$10bo11bo$4b4o17b4o$4bo2bo17bo2bo$
21bo$21bo$9bo4b2ob2o2bob2o$8b3o3b2obo6b2o$7bo2b2o6bo$7b3o12bo$22bobo$
3b2o11b2o4bo2bo2b2o$3bo12b2o5b2o4bo$2obo12b2o11bob2o$ob2ob2o19b2ob2ob
o$5bo21bo$5bobo17bobo$6b2o17b2o$10bo11bo$6b5o11b5o$6bo19bo$8bo15bo$7b
2o15b2o!

the beehive is briefly destroyed

[R2INT]

Let's clarify what it means to be or not to be a hassler:

[...]

The beehive undergoes destruction and reconstruction, therefore cannot been described as "hassled".

then you could argue this for every hassler

Code: Select all

x = 33, y = 26, rule = B3/S23
7b2o15b2o$8bo15bo$6bo19bo$6b5o11b5o$10bo11bo$4b4o17b4o$4bo2bo17bo2bo$
21bo$21bo$9bo4b2ob2o2bob2o$8b3o3b2obo6b2o$7bo2b2o6bo$7b3o12bo$22bobo$
3b2o11b2o4bo2bo2b2o$3bo12b2o5b2o4bo$2obo12b2o11bob2o$ob2ob2o19b2ob2ob
o$5bo21bo$5bobo17bobo$6b2o17b2o$10bo11bo$6b5o11b5o$6bo19bo$8bo15bo$7b
2o15b2o!

the beehive is briefly destroyed

According to the Hassle page on the LifeWiki, a hassler is defined as an oscillator that repeatedly moves or changes another pattern, such as a block, blinker or beehive, in a periodic way. @CARuler's example provides an example of a hassler-the beehive is repeatedly pushed back and forth by two oscillators.

Confocaloid's p62 hassling blinker:

Code: Select all

x = 42, y = 40, rule = B3/S234c
22bo$22bo$23bo8$20bo$19b3o$22bo$17bobo2b2o$16b2obo2b3o$14bob2obo3bo$2b
o10b13o$2o10b3ob2o3b6o12b3o$11bo4b2o5bo$10b2o4bo6b4obo$11bob4o6bo4b2o
$16bo5b2o4bo$13b6o3b2ob3o10b2o$14b13o10bo$16bo3bob2obo$15b3o2bob2o$16b
2o2bobo$17bo$18b3o$19bo8$16bo$17bo$17bo!

Hassling block:

Code: Select all

x = 41, y = 40, rule = B3/S234c
17bo$17bo$16bo8$19bo$18b3o$17bo$16b2o2bobo$15b3o2bob2o$16bo3bob2obo$14b
13o12b2o$13b6o3b2ob3o11b2o$16bo5b2o4bo$11bob4o6bo4b2o$10b2o4bo6b4obo$
11bo4b2o5bo$2o10b3ob2o3b6o$2bo10b13o$14bob2obo3bo$16b2obo2b3o$17bobo2b
2o$22bo$19b3o$20bo8$23bo$22bo$22bo!

These pattern are examples of catalyses with a block or blinker. In this case, the pattern that is described as being 'hassled' is instead eating the sparks that are being emitted by the oscillator. The oscillator can then be described as being catalyzed by the block or blinker. This is not moving or changing the pattern in any way, thus these patterns cannot be described as hasslers.

Two Confocaloid's p62 hassling beehive

Code: Select all

x = 64, y = 51, rule = B3/S234c
20b3o2$22bo$19b2o6$18b2o$20bo$17bo3bo$16bo5bo$16b2obo2bo23b3o$16bobo3b
o$obo9b3o2bob3o26bo$o10bo3bo7b3o19b2o$o2bo6bo4bo6bobobo$3bo5bo3bobo7b
o4bo$9bo4bo7bobo3bo5bo$11bobobo6bo4bo6bo2bo$12b3o7bo3bo10bo$16b3obo2b
3o9bobo6b2o$15bo3bobo24bo$15bo2bob2o9b2o10bo3bo$15bo5bo8bo2bo8bo5bo$16b
o3bo10b2o9b2obo2bo$17bo24bobo3bo$18b2o6bobo9b3o2bob3o$26bo10bo3bo7b3o
$26bo2bo6bo4bo6bobobo$29bo5bo3bobo7bo4bo$35bo4bo7bobo3bo5bo$37bobobo6b
o4bo6bo2bo$17b2o19b3o7bo3bo10bo$15bo26b3obo2b3o9bobo$41bo3bobo$15b3o23b
o2bob2o$41bo5bo$42bo3bo$43bo$44b2o6$43b2o$41bo2$41b3o!

Two Confocaloid's p62 hassling block and blinker

Code: Select all

x = 63, y = 38, rule = B3/S234c
20b3o2$22bo$19b2o5$52bo$18b2o32bo$20bo30b2obo$17bo3bo26b3o2b3o$16bo5b
o28b4ob2o$16b2obo2bo22b2ob2ob2o2b3o$16bobo3bo22b2o4b2o$obo9b3o2bob3o22b
obo10bobo$o10bo3bo7b3o17b3o11bobo$o2bo6bo4bo6bobobo17b2o13bo$3bo5bo3b
obo7bo4bo12b3ob3o8b3obo$9bo4bo7bobo3bo5bo8bob3o8b3ob3o$11bobobo6bo4bo
6bo2bo6bo13b2o$12b3o7bo3bo10bo6bobo11b3o$16b3obo2b3o9bobo6bobo10bobo$
15bo3bobo29b2o4b2o$15bo2bob2o24b3o2b2ob2ob2o$15bo5bo24b2ob4o$16bo3bo27b
3o2b3o$17bo31bob2o$18b2o31bo$51bo5$17b2o$15bo2$15b3o!

In the first example, the sparks from the alien p62 oscillators collide in such a way as to form a beehive. The next set of sparks then destroys the beehive, and the cycle starts again. This is an example of period-multiplication. In the second example, the oscillators are interacting so as to create a block+blinker diehard, which dies before the oscillator can interact with it again. In this case, the oscillators are repeatedly creating (or, in the case of the 'beehive hassler' example, also destroying) the target pattern. Again, these are neither moving nor changing the pattern, so these patterns are not hasslers. (EDITed this paragraph to make it clearer)

[confocaloid]

I'm not entirely sure it's a particularly good idea to refer to the alien p62 oscillator in the way it was referred to in some of the above posts. I don't like that idea.

Further, since it's unambiguously the most visible p62 oscillator in B3/S234c, there will be no ambiguity in referring to it as "the alien p62", as long as the context makes it clear that the cellular automaton is B3/S234c.

To my knowledge, that p62 oscillator was not known before I found it in March 2022 using apgsearch. It seems that I discovered that p62 oscillator. So I declare by right of discovery that it be named "alien p62":

Code: Select all

#C The alien p62
x = 24, y = 24, rule = B3/S234c
9bo$8b3o$7b2o2bo$9b3o4$10b2o9bo$10b2o9b2o$20bob2o$15b2o3bobo$15b2o3b2o$2b2o3b
2o$bobo3b2o$2obo$b2o9b2o$2bo9b2o4$12b3o$12bo2b2o$13b3o$14bo!
#C [[ GRID THEME MCell ]]

---

Re: hasslers, see the relevant discussion thread: viewtopic.php?p=206729#p206729 "What it is like to be a hassler?"

[...] the beehive is repeatedly pushed back and forth by two oscillators. [...]

I think that example doesn't count as a hassler. The reason is different. If you just remove the beehive from the pattern, then the remainder disintegrates (fails).

The supporting objects need to evolve in "essentially the same way" regardless of whether the hassled part is present or absent. The provided example fails this test.

[WhiteHawk]

Here is my current attempt at a State of the Guns collection for this rule below p61, following those for Pedestrian Life, EightLife, and HoneyLife. Periods not included have the same smallest gun in life (or are unknown in either rule).

Code: Select all

x = 188, y = 173, rule = B3/S234cHistory
5.D6.D3.D26.D5.D$4.2D6.D3.D27.D3.D62.4D5.5D32.2A6.A$3.D.D6.D3.D28.D.D
62.D4.D3.D36.A2.A3.2A.A$2.D2.D6.D3.D29.D68.D3.D36.2A.5A.2A$5.D7.4D28.
D.D66.D4.D37.A.A2.A$5.D10.D27.D3.D62.3D5.5D32.A2.A2.A$5.D10.D26.D5.D64.
D4.D4.D33.A2.A$5.D10.D98.D3.D4.D30.2A$2.7D7.D93.D4.D3.D4.D28.A3.A$111.
4D5.4D28.A3.A11.A$153.A.A11.3A7.2A$166.A2.2A5.A2.A$166.2A.2A4.A.A.A$165.
3A2.A2.3A2.A$166.2A.A$167.A7.2A$48.3A14.2A100.A3.A4.A$3.4D5.4D32.A16.
A.A100.A.A$2.D4.D3.D4.D32.A17.A101.A$7.D3.D4.D46.4A.2A$6.D4.D4.D46.A4.
A.A101.A$5.D5.D4.D36.3A9.A2.A2.A99.A.A$4.D6.D4.D36.A15.A.A93.A4.A3.A$
3.D7.D4.D37.A11.2A.2A94.2A7.A9.A$2.D8.D4.D51.A103.A.2A7.A.A$2.6D4.4D54.
3A90.A2.3A2.A2.3A6.A.A$58.3A9.A2.A8.2A.2A75.A.A.A4.2A.2A6.2A2.2A$58.A
7.2A3.2A.A7.2A.2A3.A.A4.2A63.A2.A5.2A2.A8.A.A$59.A6.2A.A2.A.A14.A.4A2.
A65.2A7.3A7.3A2.A$37.2A.2A25.A.A2.A.2A4.10A5.A.A75.A6.2A3.A.A$25.2A4.
A.A3.2A.2A25.3A.2A.A2.A2.A10.2A.2A2.2A80.5A.A$26.A2.4A.A28.3A10.2A4.A
3.A.2A.A.A2.A.A85.A$26.A.A5.10A18.A3.A4.3A7.2A2.A.2A2.A.3A.A2.A48.2A33.
A$24.2A2.2A.2A10.A19.A17.A4.2A4.3A2.A.2A47.A2.A28.5A.A$25.A.A2.A.A.2A
.A3.A26.A12.3A.2A10.A50.A.A29.2A3.A.A$23.A2.A.3A.A2.2A.A2.2A26.A8.A2.
2A2.2A9.2A51.A3.2A27.3A2.A$23.2A.A2.3A4.2A4.A20.2A3.A4.2A2.A3.A3.A2.A
2.A.A56.2A.A8.A10.A10.A.A$26.A10.2A.3A20.A8.A.A.3A2.A.A2.3A2.2A.A56.A
10.2A10.A7.2A2.2A$26.2A9.2A2.2A2.A18.3A5.A3.3A.2A2.2A8.A2.2A52.A9.A.2A
7.3A8.A.A$30.A.A2.A2.A3.A3.A2.2A21.A.A.3A2.A.A2.3A2.2A.A.A.A40.A21.A.
A19.A.A$29.A.2A2.3A2.A.A2.3A.A.A21.2A2.A3.A3.A2.A2.A.A2.A41.A2.A19.2A
21.A$25.2A2.A8.2A2.2A.3A3.A5.3A18.A2.2A2.2A9.2A40.A2.A10.2A$25.A.A.A.
2A2.3A2.A.A2.3A.A.A8.A20.3A.2A10.A42.A10.A.A$27.A2.A.A2.A2.A3.A3.A2.2A
4.A3.2A20.A4.2A4.3A2.A.2A49.2A.A9.A6.A$26.2A9.2A2.2A2.A8.A26.2A2.A.2A
2.A.3A.A2.A39.A10.2A9.A2.A2.A2.A$26.A10.2A.3A12.A26.A3.A.2A.A.A2.A.A39.
A2.A10.A8.A10.A9.A$23.2A.A2.3A4.2A4.A17.A19.A10.2A.2A2.2A38.A2.A20.2A
.4A.2A11.A$23.A2.A.3A.A2.2A.A2.2A14.A3.A18.10A5.A.A41.A26.2A13.3A$25.
A.A2.A.A.2A.A3.A16.3A28.A.4A2.A$24.2A2.2A.2A10.A38.2A.2A3.A.A4.2A$26.
A.A5.10A12.2A24.2A.2A$26.A2.4A.A22.A$25.2A4.A.A3.2A.2A12.3A$37.2A.2A12.
A2$170.2A.A$164.A.2A.A.A.3A$164.2A.A.A.A4.A$111.5D4.4D44.A.A.A.A.A$110.
D8.D4.D45.A.A.2A4.2A$45.4A61.D13.D28.A8.2A5.A.A8.A$41.2A.A4.A60.D13.D
26.3A8.2A6.A7.A.A$.4D4.D4.D25.A3.A4.A61.4D8.D19.2A5.A27.2A$D4.D3.D4.D
25.A4.2A68.D6.D20.2A5.2A$5.D3.D4.D25.A2.A4.2A65.D5.D45.A$4.D4.D4.D25.
A2.A3.A2.A64.D4.D45.A.A$3.D6.5D26.2A4.A2.A59.5D4.6D17.A26.A$2.D11.D19.
2A8.2A4.A90.A.A22.A.A$.D12.D18.A2.A4.A4.A3.A91.A18.A$D13.D16.A2.A.A4.
A4.A.2A89.3A18.A.A3.A14.A$6D8.D20.A6.4A93.A17.4A18.A.A$31.A.2A116.A3.
A.A22.2A$32.A7.A115.A18.2A$38.2A.2A106.A.A22.A.A$38.2A.2A105.A26.A$37.
A2.A96.2A10.A.A$38.2A97.2A11.A$163.2A11.A$46.A116.A2.6A3.A.A$34.A7.2A
2.2A.3A95.A6.2A8.2A6.4A.A$33.A8.2A4.4A94.A.A5.2A5.3A13.A.2A$33.3A10.2A
94.2A.A.A13.A2.A.A5.2A2.2A.2A$141.A.A.A.A.A12.2A13.A$141.A4.A.A.A.2A15.
2A4.A.A$142.3A.A.A.2A.A15.2A4.2A$144.A.2A7$34.2A23.2A$.4D5.4D20.A.2A19.
2A.A$D4.D3.D4.D20.A2.A4.2A5.2A4.A2.A75.A9.A14.A$5.D8.D15.A4.A2.A4.2A5.
2A4.A2.A4.A70.3A5.3A12.3A$4.D9.D14.A.A3.A2.A17.A2.A3.A.A72.A3.A14.A$.
3D9.D16.2A3.3A19.3A3.2A46.5D3.D4.D12.2A3.2A13.2A$4.D7.D97.D8.D4.D$5.D
5.D18.2A3.3A19.3A3.2A45.D8.D4.D15.A$D4.D4.D18.A.A3.A2.A3.2A.A3.A.2A3.
A2.A3.A.A44.D8.D4.D14.A.A$.4D4.6D15.A4.A2.A6.A3.A6.A2.A4.A46.4D5.5D25.
A2.A$35.A2.A4.3A3.3A4.A2.A55.D8.D14.3A11.A$34.A.2A19.2A.A54.D8.D25.A3.
A$34.2A23.2A54.D8.D27.2A$110.5D9.D14.3A10.2A$160.2A$139.A.A6.2A10.A.A
$140.A7.2A12.A$53.2A.2A3.2A.2A96.2A$43.A8.A5.A.A5.A70.2A3.2A$42.A14.2A
.2A76.A3.A$42.3A10.A7.A72.A.A.A.A.A$52.A2.A.2A.2A.A2.A68.A.A.2A.2A.A.
2A.2A$53.A3.A3.A3.A69.A.A7.A.2A.2A$54.2A.2A.2A.2A71.A2.4A.A$55.A2.A.A
2.A73.2A3.A.2A.2A14.A$56.A.A.A.A76.A5.A.2A.2A.A7.A.A$35.A21.A3.A77.4A
.3A3.A.2A8.2A$34.A109.A2.A.A$34.3A104.3A3.2A$141.A7$2.4D5.4D$.D4.D3.D
4.D23.D5.D$6.D8.D24.D3.D67.4D5.4D$5.D8.D26.D.D67.D4.D3.D4.D9.2A$2.3D6.
3D28.D68.D8.D4.D9.A.A8.A$5.D8.D26.D.D67.D8.D4.D10.A.A2.2A2.A.A4.2A$6.
D8.D24.D3.D66.5D4.D4.D12.3A.A3.A4.A.A$.D4.D3.D4.D23.D5.D65.D4.D3.D4.D
9.A3.A11.A$2.4D5.4D96.D4.D3.D4.D9.A8.A4.2A.A$111.D4.D3.D4.D9.A3.A3.2A
4.A2.A$112.4D5.4D14.A.2A8.2A.2A$140.A13.A.A$147.2A5.A.A$146.A2.A3.2A.
2A$147.A.A7.A$147.3A3.2A.A$153.2A.A.A$157.2A$2.5D4.4D$.D8.D4.D23.D5.D
90.A6.A$.D13.D24.D3.D93.A2.A$.D12.D26.D.D94.A2.A$2.4D5.3D28.D95.A2.A$
6.D7.D26.D.D92.A6.A$6.D8.D24.D3.D$6.D3.D4.D23.D5.D$.5D5.4D138.A.A$136.
8A10.2A$136.A.4A.A10.A$136.8A7$4.D7.3D24.D5.D$3.2D6.D3.D24.D3.D$2.D.D
6.D3.D25.D.D$.D2.D6.D3.D26.D$4.D7.3D26.D.D$4.D6.D3.D24.D3.D$4.D6.D3.D
23.D5.D$4.D6.D3.D$.7D4.3D!

EDIT: There is a p24 gun that works here

EDIT 2:

^^ I attempted to keep track of which gun periods remain unknown in this CA, but it's possible that I missed some recent discoveries:

[...] I do not know examples of true-period glider guns for periods 14, 17, 18, 19, 23, 26, 29, 31, 33, 38, 39, 47, 53. (The period-33 glider gun and the period-53 glider gun fail in this CA.)
[... (a list of updates) ...]

47 is solved with the most recent gun, and 14 and 18 can likely be solved with a different sparker that does not query S4c, so only periods 33 and 53 exist in B3/S23 but do not transfer from Life to Conway++

[confocaloid]

^^ I attempted to keep track of which gun periods remain unknown in this CA, but it's possible that I missed some recent discoveries:

[...] I do not know examples of true-period glider guns for periods 14, 17, 18, 19, 23, 26, 29, 31, 33, 38, 39, 47, 53. (The period-33 glider gun and the period-53 glider gun fail in this CA.)
[... (a list of updates) ...]

[confocaloid]

(a reply to posts that were later deleted)

[WhiteHawk]

S4c in the rotor

For which periods there is an oscillator with at least one instance of a rotor cell surviving by S4c? For example, each of the following period-3 oscillators contains a rotor cell that survives by S4c.

Update on missing periods for oscillators triggering S4c, which by my tabulations were periods 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 26, 29, 31, 33, 38, 39, and 53, for a total of 21 missing periods.

To begin to find the remaining oscillators, it should be noted the S4c-triggering beehive push has RT=12, which beats the RT=19 of the 2 LWSS collision. All that is required to trigger the push is a three cell edge backed by cells on both ends

Code: Select all

 x = 8, y = 3, rule = B3/S234c
3o2b2o$b2obo2bo$3o2b2o!
[[ PASTET EVERY 12 6 PASTE 3o$2ob$3o! 10 0 ]]
[[ PASTET EVERY 12 PASTE 3o$b2o$3o! 0 0 ]]

Unfortunately, the best glider synthesis I could find for a pi that leaves room for a blinker has RT=21, only slightly better than the LWSS synthesis repeat time of 23. Even so, this does take two more periods of the list of missing S4c oscillators:

p21

Code: Select all

x = 78, y = 59, rule = B3/S234c
25b2o$6b2o5b2o9bobo27b2o$6b2o5b2o10bo28bobo9b2o5b2o$6b2o5b2o40bo10b2o
5b2o$7b2o3b2o$6b2o5b2o$7bobobobo6b3o34bo8b3o3b3o$9bobo8bo2bo4bobo2b2o
22bobo4bo4bobo4bo$9bobo8bob2o3bo2bo2bobo10b2o3bo5bobo9bobo$4b3o2bobo2b
3o11b2obo3bo9bo3b4o6bo3bo3bobobobo3bo$4b2obobobobob2o15b2ob2o8bobo5bo
10bo2bobobobo2bo$8bo3bo19b2o2bo7b2o5bo2bo4b3o3b3obobob3o$28b3o3b3o5bo
3b2obo6b3o8b2o3b2o$20b2obo4bo2b2o12b2o3b2o$20bo2bo4b2ob2o14bob2o3bo3b
o$11b2o8b3o5bo3bob2o5bo2bo5b2o5bobo$12bo16bobo2bo2bo5bo5bobo6bobo7b2o
$12bobo15b2o2bobo7b4o3bo8bo7bo$13b2o30bo3b2o15bobo$66b2o$16b3o38bobob
2o$16bo7bo32bo5bo$18bo6b2o30b2o4bo$14bo2bo2bo3b2o36b2o$10b2obobobob2o
39bo2bobo$10bob2obobo35bo6b2obobobob2o$16b2o12bo20b2o10bobob2obo$31bo
11b2o7b2o9b2o$29b3o6b2o2bobo$25b3o9bo2bobo$27bo10b2o2bobo$12b2o12bo16b
2o$6bob2obobo34b2o9b2o$6b2obobobob2o30b2o10bobob2obo$10bo2bo2bo3b2o27b
o6b2obobobob2o$14bo6b2o33bo2bobo$12bo7bo37b2o$12b3o38b2o4bo$53bo5bo$9b
2o42bobob2o$8bobo15b2o2bobo29b2o$8bo16bobo2bo2bo7bo3b2o15bobo$7b2o8b3o
5bo3bob2o7b4o3bo8bo7bo$16bo2bo4b2ob2o10bo5bobo6bobo7b2o$16b2obo4bo2b2o
9bo2bo5b2o5bobo$24b3o3b3o10bob2o3bo3bo$4bo3bo19b2o2bo8b2o3b2o$2obobob
obob2o15b2ob2o5bo3b2obo6b3o8b2o3b2o$3o2bobo2b3o11b2obo3bo8b2o5bo2bo4b
3o3b3obobob3o$5bobo8bob2o3bo2bo2bobo9bobo5bo10bo2bobobobo2bo$5bobo8bo
2bo4bobo2b2o10bo3b4o6bo3bo3bobobobo3bo$3bobobobo6b3o23b2o3bo5bobo9bob
o$2b2o5b2o42bobo4bo4bobo4bo$3b2o3b2o43bo8b3o3b3o$2b2o5b2o$2b2o5b2o10b
o$2b2o5b2o9bobo28bo10b2o5b2o$21b2o27bobo9b2o5b2o$50b2o!

p22

Code: Select all

x = 95, y = 57, rule = B3/S234c
60bobo3b3o6b2o$63bo2bobo6bo$57b2o5b3o6bobo$57bo2bo6bo5b2o$57b2o7bobo$
58bobo7b2o$52b2o5bo6bo2bo$51bobo6b3o5b2o$51bo6bobo2bo$42b2o6b2o6b3o3b
obo$23b2o16bo2bo25bo14bo$24bo16b2obo25bobo11bobo6b2o$24bobo4b3o5bo2b2o
26b2o9b2o3bo6bo$25b2o4bobo4bo36b2o5b3o6bobo$30bo3bo3bo3bo31bo2bo7bo5b
2o$30bo3bo3bo3bo22bo9b2o9b2o$34bo4bobo4b2o16bo10b2o9b2o$29b2o2bo5b3o4b
obo15b3o3b2o5bo7bo2bo$28bob2o16bo20bobo6b3o5b2o$28bo2bo16b2o19bo6bo3b
2o$24b2o3b2o37b2o6bobo$5b2o16bo2bo32bo17bo$6bo7bo7b2o2bo32bobo$6bobo4b
obo7b3o6bo26b2o$7b2o3b2ob2o3b2o2b2o7bo$12b2ob2o2b3o9b3o$15b3o2b2ob2o16b
o21b2o16b2o$11b2o2b2o3b2ob2o3b2o11b2o3b2o5b3o2bo5bo18bo$11b3o7bobo4bo
bo12bobo2bo4bobo3bo4bob2o12bo3bo$10bo2b2o7bo7bo10b2o3b2o6b3obo6bo13bo
5bo$10bo2bo16b2o9bo27bo2b2o5b2obo$11b2o57bob2o5b2o2bo$35b3o25b2o2bo5b
o13bo$37bo25bobo2bo3bo12b2obo$36bo26bo5bo18bo$70b2o16b2o$25b2o$7b3o15b
o4b2o13b2o16bo$6bo16bobo3bobo14bo16b2o$5bo4bo6bo2bo2b2o6bo14bobo13b4o
$5bo4bo6bo3bo25b3o15b2o$5bo3bo6bo4bo27b3o2b2o5b2o2b3o$2b2o2bo2bo6bo4b
o27b3o2b2o5b2o2b3o$bobo16bo3b3o23b2o15b3o$bo15b3o6bo24b4o13bobo$2o23b
o26b2o16bo$53bo16b2o$43b2o$26bo16bo$25b3o13bobo$24b3obo7b2o3b2o$23b3o
2bo6b4o$24b4o6bo2b3o$20b2o3b2o7bob3o$19bobo13b3o$19bo16bo$18b2o!

The new list of _EDIT: 11_ missing periods is now down to periods 8, 9, 10, 11, 17, 19, 26, 29, 31, 39, and 53. The hunt continues.

EDIT 2: simple P30

Code: Select all

x = 41, y = 7, rule = B3/S234c
11b2o14bo$10b3o13bobo$2o5bob2o9b2o3bob2o$2o5bo2bo8bo2bob2ob2o10b2o$7b
ob2o9b2o3bob2o10b2o$10b3o13bobo$11b2o14bo!

Two trivial p8s and a p10 where S4c is in the stator

Code: Select all

x = 45, y = 40, rule = B3/S234c
27b3o$27b3o$27b3o$30b3o$3bo26b3o$2bobo25b3o$bobobo15b3o$obo2bo3b3o9b3o
$bo7b3o9b3o$2b2o5b3o12b3o5b2o$12b3o9b3o7bo$12b3o9b3o3bo2bobo$12b3o15b
obo2bo3b3o$3b3o25bo7b3o$3b3o26b2o5b3o$3b3o36b3o$6b3o33b3o$6b3o33b3o$6b
3o24b3o$33b3o$33b3o$36b3o$36b3o$36b3o3$12b2o$13bo$7b2ob3o$5bo2bobo$5b
2obo6b2o$8bo5bo2bo$8b2o3bob3o$6b2obo2bobo$7bo2b4obo$5bo2bo3bob2o$5b2o
bob2o$8bobo$8bobo$9bo!

EDIT 3: 69p48 triggers S4c in a fun way that doesn't destroy the oscillator

Code: Select all

x = 19, y = 15, rule = B3/S234c
2o15b2o$obo13bobo$2bo13bo$2b2o11b2o$6b2o3b2o$2b4obo3bob4o$2bo13bo$3b12o
$bobo10b2o$b2o3bob4o$5bobo4bo$5b2ob4o$2b2obo3bo$2bo2bobo$4b2ob2o!

Same with both variants of 123P27.1

Code: Select all

x = 45, y = 22, rule = B3/S234c
b2ob2o20b2ob2o$2bobobob2o17bobobob2o$bo4bobo17bo4bobo$ob4o4bo14bob4o4b
o$o4bo3b4obo10bo4bo3b4obo$b4o3bo4b2o11b4o3bo4b2o$3bo4b4o3b2o11bo4b4o3b
2o$5bobo4b2o3bo12bobo4b2o3bo$4b2obo2b2o2b2obo11b2obo2b2o2b2obo$3bo3bo
bo2bobobo11bo3bobo2bobobo$4b3o2b2obo6bo9b3o2b2obo6bo$7b2o3bo2b5o12b2o
3bo2b5o$6bo2bob2obobo14bo2bob2obobo$5bob2o3bo2bo2b2o10bob2o3bo2bo2b2o
$6bo2b2o3bobo2bo11bo2b2o3bobo2bo$7b2o3bobob2o14b2o3bobob2o$9b4obobo17b
4obobo$9bo2bobobo17bo2bobobo$10b5ob2o17b5ob2o$15bo2bo21bo$9bob4o2b2o16b
4obo$9b2obo22bo2b2o!

[EvinZL]

P38 oscillator querying S4c

Code: Select all

x = 48, y = 18, rule = B3/S234c
11b2o16b2o$5bob2obobo4bo6bo4bobob2obo7bo$5b2obobo4b2obo4bob2o4bobob2o
5b3o$9b2o4b2o3b2o3b2o4b2o8bo$14b3o2b4o2b3o13b2o$bo12b3o2bo2bo2b3o$o2b
o3bo7bobob4obobo7bo10b3o$o2bo2b3o7bob2o2b2obo7b3o8b3o$2bob2obobo8bo4b
o8bobob2obo$4b3ob3o8bo2bo8b3ob2obobo$2bob2obobo22bobob2obo$o2bo2b3o24b
3o8b3o$o2bo3bo26bo10b3o$bo14b2o6b2o$16b2o6b2o15b2o$41bo$42b3o$44bo!

P20:

Code: Select all

x = 78, y = 38, rule = B3/S234c
46bo12b2ob2o$44b3o12b2ob2o3bobo4b2o$43bo22bob4o2bo$14b2ob2o24b2o12b10o
5bobo$2b2o4bobo3b2ob2o38bo3bo6b5o2b2o$3bo2b4obo47bo3bob2obo4bobo$3bob
o5b10o37b2o2bo3b3o3bobo2bo$b2o2b5o6bo3bo36bo2b2o3bo3bo2bobob2o$2bobo4b
ob2obo3bo38bo2b2o8bo3bo$o2bobo3b3o3bo2b2o20bo13bo2bo2bo3bo8b2o$2obobo
2bo3bo3b2o2bo18b3o6bo4bo3b2o2b2o2bo2bobo2bo$3bo3bo8b2o2bo17bo3bo4bo8b
obo4b3o2b2obobobo$3b2o8bo3bo2bo2bo15b2o2bo2bo2bo3bo3b2ob3o8bo2b2o$4bo
2bobo2bo2b2o2b2o3bo4bo10b3o4bo8bobo4b3o2b2obo$2bobobob2o2b3o4bobo8bo4b
3o10bo4bo3b2o2b2o2bo2bobo$2b2o2bo8b3ob2o3bo3bo2bo2bo2b2o15bo2bo2bo3bo
8b2o$6bob2o2b3o4bobo8bo4bo3bo17bo2b2o8bo3bo$7bobo2bo2b2o2b2o3bo4bo6b3o
18bo2b2o3bo3bo2bobob2o$3b2o8bo3bo2bo2bo13bo20b2o2bo3b3o3bobo2bo$3bo3b
o8b2o2bo38bo3bob2obo4bobo$2obobo2bo3bo3b2o2bo36bo3bo6b5o2b2o$o2bobo3b
3o3bo2b2o37b10o5bobo$2bobo4bob2obo3bo15b2ob2o27bob4o2bo$b2o2b5o6bo3bo
13bo3bo20b2ob2o3bobo4b2o$3bobo5b10o14b3o21b2ob2o$3bo2b4obo23bobo$2b2o
4bobo3b2ob2o17bo$14b2ob2o16bobo$29b2o4bobo4b2o$29bo2bo3bo3bo2bo$30b3o
7b3o2$28b7o3b7o$28bo6bobo6bo$29bobob2o3b2obobo$30b2obo5bob2o$33bo5bo$
33b2o3b2o!

[WhiteHawk]

P33 hiding in ror_stdin_test! Triggers S4c 17 generations after minimum phase (right)

Code: Select all

x = 73, y = 35, rule = B3/S234c
62b2o$23b2o32b2o2bobo$18b2o2bobo32bo3bo$18bo3bo35b3ob4o$19b3ob4o33bob
o2bo$21bobo2bo29b3obobo$17b3ob2o32bo2bob2o$16bo2b2o30b2o2b2o$12b2o2b2o
32bobo$11bobo36bo11bo$11bo35b2ob2o3bo6b2o$8b2ob2o32bo2bo7bo$6bo2bo8bo
bo24b2obo6b2obobob3o$6b2obo8bobo25bob2o3b2o4bobo$7bob2o7b3o21bobo8b2o
3bobo$3bobo34b3ob2o7bo7b2o3bo2bo$b3ob2o20b2obo8bo4bo6b3o3b6o3bo2b3o$o
26b2ob3o7b3o2bo3b6o3b3o6bo4bo$b3ob2o26bo8bo2bo3b2o7bo7b2ob3o$3bob2o20b
2ob3o18bobo3b2o8bobo$28bobo19bobo4b2o3b2obo$13b3o7b2obo20b3obobob2o6b
ob2o$13bobo8bob2o27bo7bo2bo$13bobo8bo2bo20b2o6bo3b2ob2o$21b2ob2o23bo11b
o$22bo36bobo$20bobo32b2o2b2o$16b2o2b2o28b2obo2bo$13b2o2bo31bobob3o$11b
2ob3o29bo2bobo$7bo2bobo33b4ob3o$7b4ob3o35bo3bo$11bo3bo32bobo2b2o$9bob
o2b2o32b2o$9b2o!

Track the difference

Code: Select all

x = 34, y = 34, rule = Life_delta_S4c_v1
23.2A$18.2A2.A.A$18.A3.A$19.3A.4A$21.A.A2.A$17.3A.2A$16.A2.2A$12.2A2.
2A$11.A.A$11.A$8.2A.2A$6.A2.A8.A.A$6.2A.A8.A.A$7.A.2A7.3A$3.A.A$.3A.2A
20.2A.A$A26.2A.3A$.3A.2A26.A$3.A.2A20.2A.3A$28.A.A$13.3A7.2A.A$13.A.A
8.A.2A$13.A.A8.A2.A$21.2A.2A$22.A$20.A.A$16.2A2.2A$13.2A2.A$11.2A.3A$
7.A2.A.A$7.4A.3A$11.A3.A$9.A.A2.2A$9.2A!

EDIT: Almost works for p39, but not enough room to push the beehive back

Code: Select all

x = 37, y = 28, rule = B3/S234c
26b2o$26bobo2$21bo6b2o$21b3o5bo$5bo18bo6bob2o$5b3o15b2o5b3obo$8bo20b3o
bo$7b2o25b3o$36bo2$10b2o$4b2o4b2o13b2o$4b2o3bo15b2o$10b2o15bo3b2o$10b
2o13b2o4b2o$25b2o2$o17bo$3o14bobo8b2o$3bob3o9bobo8bo$2bob3o5b2o4bo10b
3o$2b2obo6bo18bo$7bo5b3o$7b2o6bo2$8bobo$9b2o!

EDIT 2: p13! Also found hiding in ror_stdin_test.

Code: Select all

x = 16, y = 15, rule = B3/S234c
5bob2o$5b2o2bo$3b2o3bo$2bo3b2ob3o$bob3obobo2bo$obo4bobo2bo$o2bobo2bo3b
ob2o$bobobobob2obo2bo$2obobobo2b2obo$3bobob2o2bob2o$3bob2o4bobo$4bo3b
4obo$5b3o4bo$7bo2bo$10b2o!

P12

Code: Select all

x = 19, y = 16, rule = B3/S234c
4b2o$5bo2bob2o$3bo4b2o2bo$2bob4o3bo$2bobo4b2ob3o$b2obo2b2obobo2bo$2bo
bobo3bobo2bo$o2bo2bobo2bo3bob2o$2obob2obobob2obo2bo$3bo2bobobo2b2obo$
3bo2bobob2o2bob2o$4b3ob2o4bobo$7bo3b4obo$6bo2b2o4bo$7b2obo2bo$13b2o!

EDIT 3:

remaining periods (10): 9, 10, 11, 17, 19, 26, 29, 31, 39, 53

While I am loathe to declare p8 solved since s4c is part of the stator and not the rotor, I guess it still counts.

[EvinZL]

p14, p16, and p18 querying S4c based on pushing loaves and beehives

Code: Select all

x = 39, y = 28, rule = B3/S234c
34bo$b2o5b2o23bobo$b2o5b2o23bobo$32b2ob3o$27bo10bo$27bo4b2ob3o$b2o5b2o
17bo4b2obo$2obo3bob2o$2b2o3b2o6b2o6b2o4bo$3b2ob2o5b2o2bo4bo2b2obobo$4b
obo7b5o2b5obo2bo2b2o$3b2ob2o5b2o2bo4bo2b2ob2o3b2o$15b2o6b2o2$obo5bobo$
b2o5b2o15b3o$25b4o$21b4o3b2o4b2o$21b3ob2o2b2o3b2o$25b4o4$25b4o$21b3ob
2o2b2o3b2o$21b4o3b2o4b2o$25b4o$25b3o!

Code: Select all

x = 17, y = 28, rule = B3/S234c
5b2o3b2o$5bobobobo$7bobo$6b2ob2o$5bo5bo$5b3ob3o$2o2bo2bobo2bo2b2o$2o2b
2o5b2o2b2o3$6b5o$5bob3obo$8bo$5b2obob2o$7b3o$7bobo$8bo$7bobo$b2o4bobo
4b2o$bo2bo3bo3bo2bo$2b3o7b3o2$7o3b7o$o6bobo6bo$bobob2o3b2obobo$2b2obo
5bob2o$5bo5bo$5b2o3b2o!

Code: Select all

x = 48, y = 35, rule = B3/S234c
31b2o$30bobo$30bo$24b2o2b2ob4o$24bo2bobo4bo3b2o$26b2obob2o2b2o2bo$27bo
bo3b2o2b2o$27bobob2o2b2o4bo$14b2o2bo9bo4bo4b4o$14bo2bobo9b3obob3o4b2o$
15bobobo11b2ob2o2b2o2bobo$14b2obob2o17bobobo2bo$17bo22bobob2o$7b2o8b6o
16b2obo$6bo2bo5b2o3b5o8bo8bob4o$5bobobo4bo3bo6bo5b3o8bobo2bo$5bobob2o
3b5o11bobob2ob2o4bo$3b2obo4bo11bo5b3ob2obo2bo$3bo2bobob2o11bo3bo2bobob
2ob2o4bo$2obo2b2o3bo11bo7b3o8bobo2bo$o2b2obo2b2o3b5o14bo8bob4o$b2o2bob
obo4bo3bo6bo13b2obo$3b5obo5b2o3b5o15bobob2o$3bo4bo8b6o15bobobo2bo$4b4o
9bo13b2ob2o2b2o2bobo$5bo8b2obob2o8b3obob3o4b2o$3bo11bobobo8bo4bo4b4o$
3b2o9bo2bobo7bobob2o2b2o4bo$14b2o2bo8bobo3b2o2b2o$26b2obob2o2b2o2bo$
24bo2bobo4bo3b2o$24b2o2b2ob4o$30bo$30bobo$31b2o!

remaining periods (10): 9, 10, 11, 17, 19, 26, 29, 31, 39, 53

[WhiteHawk]

P20:

Code: Select all

smaller

Code: Select all

x = 44, y = 27, rule = B3/S234c
2$37b2o$33b2o2bobo$33bobobo2bo$19b2o14bobob2o$13bob2obobo13b2obo$13b2o
bobo18bob2o$5b2o10b2o7b3o8bobo2bo$4bobo2b2o14bo3b2ob2o4bo2b2o$3bo2bob
obo13bo6bo2bo$3b2obobo15b2o3b2ob2o4bo2b2o$6bob2o12b3ob3o8bobo2bo$3b2o
bo13bo2bo13bob2o$bo2bobo8b3ob3o12b2obo$b2o2bo4b2ob2o3b2o15bobob2o$9bo
2bo6bo13bobobo2bo$b2o2bo4b2ob2o3bo14b2o2bobo$bo2bobo8b3o7b2o10b2o$3b2o
bo18bobob2o$6bob2o13bobob2obo$3b2obobo14b2o$3bo2bobobo$4bobo2b2o$5b2o
!

EDIT: Here is the promised SKOP collection for this rule

Code: Select all

x = 624, y = 412, rule = B3/S234cSuper
65.2C$45.2C18.C$45.C19.C245.2C$45.C19.2C244.C$45.2C264.C$311.2C2$4.D19.
3D17.3D19.D16.5D16.3D16.5D16.3D17.3D17.D3.3D$3.2D18.D3.D15.D3.D17.2D16.
D19.D3.D19.D15.D3.D15.D3.D15.2D2.D3.D$4.D22.D19.D16.D.D16.D19.D22.D16.
D3.D15.D3.D16.D2.D3.D115.5R2.R38.5F2.3F16.5D2.3D27.5D3.D31.5F.5F16.5D
2.3D17.5F.5F15.5F2.3F10.5D2.3D39.3F3.3F$4.D21.D18.2D16.D2.D17.3D16.4D
19.D17.3D17.4D16.D2.D.D.D119.R.2R42.F.F3.F19.D.D3.D30.D2.2D35.F.F24.D
.D3.D20.F5.F19.F.F3.F13.D.D3.D37.F3.F.F3.F$4.D20.D21.D15.5D19.D15.D3.
D17.D17.D3.D19.D16.D2.D3.D118.R3.R41.F6.F18.D6.D29.D2.D.D34.F2.F23.D2.
D23.F5.F19.F2.F3.F12.D2.D3.D37.F3.F.F3.F$4.D19.D18.D3.D18.D16.D3.D15.
D3.D17.D17.D3.D15.D3.D16.D2.D3.D118.R3.R41.F5.F19.D4.2D30.D.D2.D34.F3.
3F20.D2.4D20.F5.F19.F3.3F13.D3.4D38.3F2.F.F.F$3.3D17.5D16.3D19.D17.3D
17.3D18.D18.3D17.3D16.3D2.3D118.R4.R40.F5.F19.D7.D28.D2.5D32.F7.F18.D
3.D3.D18.F5.F19.F3.F3.F11.D7.D37.F3.F.F3.F$309.R4.R40.F4.F20.D3.D3.D28.
D5.D33.F3.F3.F18.D3.D3.D18.F5.F19.F3.F3.F11.D3.D3.D37.F3.F.F3.F$3.200B
106.R3.3R39.F3.5F17.D4.3D29.D5.D33.F4.3F19.D4.3D19.F5.F19.F4.3F12.D4.
3D39.3F3.3F2$3.2A19.A22.A17.A17.2A23.2A17.2A16.2B17.2A19.B2A119.317B$
3.2A18.BAB20.BAB15.A.A16.A.B21.B2A2B15.2A16.3B17.A18.2B.A2B$24.A22.AB
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4B10.4B$16.3A48.11B402.4B10.4B$16.A52.9B403.4B10.4B$69.5B.2B405.4B10.
4B$70.3B410.4B10.4B$70.2B2A410.4B10.4B$70.2BAB411.4B10.4B$69.3B.3A410.
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10.4B$54.C146.C296.4B10.4B$54.C146.C297.4B10.4B$54.2C145.2C297.4B10.4B
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510.4B10.4B$3.268B240.4B10.4B$512.4B10.4B$92.A.2A3.2A18.2A18.2A4.2A12.
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A.A11.BAB21.M26.A36.A.A6.A.A2.A.A251.4B10.4B$14.2A48.3B2.3B18.2A3.A.3A
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2B4.B2AB7.2B.BA6.A10.M17.2A6.2A.A.A26.2A.A.B.C.A9.2A259.4B5.A4.4B$8.A
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2A9.M2.3M11.A.AB.9B19.3A4.2A4B2A.2A.A11.7B256.4B4.2A4.4B$11.A2.8B.B2A
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BA7B9.4B3A2.5B2A3.4BABAB13.2M15.4BA4B23.6B10.3A6.2AB.BABA3B.B2A247.A7.
7B7.10B2.4B$14.10B39.7BA2B25.2BA3BA2B8.B.15B10.6B2.3AB.B3.4BA3BAB29.4B
3A2B25.5B5.2A4.A7.B.4BA4B.B248.A.2A5.7B2.B2.11B.B.4B$14.9B39.9BA2B25.
2BA3BA2B6.2AB.15B15.BA3BA6.3BA2BA4B27.10B18.2A3.6B5.A16.3B.BAB252.A2.
A4.29B$14.8B31.2B2.2B2.14B2.2B2.2B16.BA4BA2B6.2A8B2A7B15.BA4B6.3BA2BA
5B25.12B6.2B9.A4.B.5B.BA.A276.2AB3.30B$8.2A3.12B26.16BA17B15.BA5B8.2B
.7B2A5B16.BA4B7.3B2A5B26.14B4.3B10.A.8B.B2A17.3B.BAB254.36B3.2A$7.A.A
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12B3A12BABA5B3A$2.A.2A.2A10BA9B20.17B4.BA4B2A9B18.B.2BA14.B2.B2AB17.5B
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2BA$2.2A.A.11B3A8B22.15B4.B2A3BA8B19.2B2.B19.2A19.BABA9.9B27.13B2.BA3B
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2A4.6B2AB2A6B21.9B2A4BAB4.17B17.2A55.5B2A3B26.9B9.3B16.5B21.B3.B259.13B
21.A$12.16B20.9B2A16BA12B72.5BA2BA3B25.10B6.5B14.5B.B2A285.13B19.2A$12.
17B20.9B2A8B2A4BABA10B74.4BA2BA3B23.2AB.8B6.2AB16.2A4.BA.A283.8B4.2A.
A$14.15B22.17BA16B78.BA3BA4B21.A.AB3.6B7.A18.A7.A283.6B6.2AB3A$15.16B
22.2B2.2B2.14B2.2B2.2B81.BABA4B22.A4.5B.B5.3A16.3A8.2A282.5B8.B4.A$17.
15B30.2BA9B91.BA4B22.2A4.2A10.A18.A294.B.B9.2A.3A$17.17B29.2BA7B90.5B
.2B29.A325.3B9.A.A$18.16B29.BA3B2ABAB90.2A32.3A325.B2AB9.A.A$18.6B2AB
2A6B4.2A21.7B3A2B90.A32.A328.2A11.A$17.7BA3BA7B4.A21.8BA3B87.3A$17.8B
3A11B.A.2A19.10B88.A$17.9BA10B2A.2A.A19.10B$17.17B4.A23.12B$18.2B.12B
3.A.A23.12B$21.12B3.2A25.10B$24.8B31.10B$23.9B32.3B2.3B$22.10B32.3B2.
3B$22.10B3.2A28.B4.B$22.10B2.A.A$20.2AB.8B2.A$19.A.AB3.B2.3B3A$19.A5.
3B3.AB2.2A$18.2A5.B2AB.B4A2.A$26.2A2.3B.A.2A$31.2A.A$32.A.A$30.A.A.2A
$30.2A!

EDIT 2:
S4c p27

Code: Select all

x = 17, y = 18, rule = B3/S234c
b2o$2bo5b2o$o6bobo$5o2bo$5bobo5b2o$2o3bobobo2bo2bo$o2bo3bobo2bobobo$2b
2ob3ob4o2bo$3bobob2o4b2o$bobobob6o$b2o2bobo4bo$5b2o2b3o$10bo$8bo3bo$7b
ob4o$8bo$10bo$9b2o!

[pifricted]

Does anyone know (better) syntheses for checkerboard SLs? Here is a two-directional 7G synthesis for the 3x3 checkerboard still life (found from this soup).

Code: Select all

x = 139, y = 39, rule = B3/S234c
39b2o26b3o$38bobo26bo$40bo27bo14$45b2o63b2o$44bobo62b2o$46bo64bo6$136b
3o$136bo$137bo2$3o$2bo$bo6$130b2o$129b2o$131bo!

6G:

Code: Select all

x = 54, y = 22, rule = B3/S234c
o8bobo$b2o6b2o$2o8bo$35bo$35bo$35bo4$9b2o$8bo2bo18b2o4b2o$9bobo17bobo
3bo2bo$10bo20bo4bobo$37bo6$51b2o$51bobo$51bo!

[WhiteHawk]

A 31-cell p5 found in B34c/S234c that I think is fairly compact and somewhat noteworthy

Code: Select all

x = 9, y = 9, rule = B3/S234c
b2o3b2o$bobobobo$3bobo$2bobobo$2bo3bo$2o5b2o$bobobobo$bobobobo$2b2ob2o
!

Of note, I was probably a little too hasty to include barely modified life oscillators in the collection on the OCA: Conway++ wiki page, and that collection should probably be reduced to the more interesting oscillators