Integralife (B3/S23-j)

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Hdjensofjfnen
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Integralife (B3/S23-j)

Post by Hdjensofjfnen » August 12th, 2018, 10:04 pm

A rule which has some interesting things:
Top down:
B ship, c/2.
Queen bee ship, c/2.
R pentomino partial, c/2.
Three examples of the commonness of the integral, which is the rule's namesake.

Code: Select all

x = 7, y = 96, rule = B3/S23-j
3b2o$2bo$2bo$2b3o8$4bo$3b2o$2b2o$b3o$2b2o$3b2o$4bo8$3b2o$2b2o$3bo25$3b
o$2b2obo$bo3bo$b2o2bo15$4bo$2bo$b2o$2o2bobo$bo3bo16$4bo$5bo$3b3o$2bobo
$2b2o$2bo!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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confocaloid
Posts: 2723
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Re: Integralife (B3/S23-j)

Post by confocaloid » June 5th, 2022, 8:53 am

What are chances of finding a gun in this rule? (Maybe this other thread is related.)
Here are two eaters:

Code: Select all

x = 15, y = 24, rule = B3/S23-j
2o$2bo8b2o$2bo8b2o$3o9$o$2o$b2o$b3o$b2o$2o$o2$11b2o$11bo$12b3o$14bo!
Here is a likely-already-known block puffer:

Code: Select all

x = 223, y = 64, rule = B3/S23-j
2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o
7b2o7b2o7b2o7b2o7b2o7b2o$2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b
2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o7b2o$215bo$189b2o7b2o7b
2o7b2obo$189b2o7b2o7b2o4b2ob2ob2o$214b2o4b2o$220b3o$192bo27b2o$190bob
2o25b2o$164b2o7b2o7b2o6bo3b2obo21bo$164b2o7b2o7b2o5bob2ob2ob2o$189b5o
4b2o$191b3o4b3o$165b4o29b2o$168b4o25b2o$148b2o7b2o6b4o3b2obo21bo$148b
2o7b2o11bob2ob2o$171bo4b2o$176b3o$176b2o$149bo25b2o$123b2o7b2o7b2o7b2o
bo21bo$123b2o7b2o7b2o4b2ob2ob2o$148b2o4b2o$154b3o$126bo27b2o$124bob2o
25b2o$98b2o7b2o7b2o6bo3b2obo21bo$98b2o7b2o7b2o5bob2ob2ob2o$123b5o4b2o$
125b3o4b3o$99b4o29b2o$102b4o25b2o$82b2o7b2o6b4o3b2obo21bo$82b2o7b2o11b
ob2ob2o$105bo4b2o$110b3o$110b2o$83bo25b2o$57b2o7b2o7b2o7b2obo21bo$57b
2o7b2o7b2o4b2ob2ob2o$82b2o4b2o$88b3o$60bo27b2o$58bob2o25b2o$32b2o7b2o
7b2o6bo3b2obo21bo$32b2o7b2o7b2o5bob2ob2ob2o$57b5o4b2o$59b3o4b3o$33b4o
29b2o$36b4o25b2o$16b2o7b2o6b4o3b2obo21bo$16b2o7b2o11bob2ob2o$39bo4b2o$
44b3o$44b2o$17bo25b2o$2o7b2o7b2obo21bo$2o7b2o4b2ob2ob2o$16b2o4b2o$22b
3o$22b2o$21b2o$21bo!
Reposting here relevant old posts I could find:
Hdjensofjfnen wrote:
August 21st, 2018, 8:34 pm
B3/S23-j (has two c/2 ships, but no glider, and a bunch of integrals)
LaundryPizza03 wrote:
August 26th, 2018, 4:26 am
In B3/S23-j, the integral sign is about 17 times more common in this rule (4.7e-4) than in standard life (2.8e-5). Not much else, though.
LaundryPizza03 wrote:
November 30th, 2021, 5:11 pm
41c/82o traffic light puffer in B3/S23-j:

Code: Select all

x = 11, y = 13, rule = B3/S23-j
b2o$3bo$o$5bob2o$5bo3bo$o2b2o5bo$7bo2bo$o2b2o5bo$5bo3bo$5bob2o$o$3bo$b
2o!
This rule is under-searched in apgsearch; I'm running this in apgsearch now in hauls of 10M soups. The above was found from a related 30c/60o in B36a/S23-j.
127:1 B3/S234c User:Confocal/R (isotropic rules, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

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confocaloid
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Re: Integralife (B3/S23-j)

Post by confocaloid » June 12th, 2022, 9:32 pm

Ways to convert the most common spaceship to a relatively long-lasting reaction:

Code: Select all

x = 37, y = 139, rule = B3/S23-j
25b2o$18b2o4bo2bo$17bo2bo2bo3bo$16b3obo3bo3b2o$15bo4bo3bo5bo$14bo15bo$
14bo5bo3bo4bo$15b2o3bo3bob3o$17bo3bo2bo2bo$17bo2bo4b2o$18b2o4$o$2o$b2o
$bo$o20$20bo$19b3o$18bobobo$18bobobo$19b3o$20bo3$20bo$19b3o$18bobobo$
18bobobo$19b3o$20bo3$o$2o$b2o$bo$o16$20b3o6b3o$20bo2b2o2b2o2bo$20bo2bo
4bo2bo$21bo8bo$20b2o8b2o$22bo6bo$19bo3bo4bo3bo$17b2o14b2o$17bo2b2o8b2o
2bo$18bobob2o4b2obobo$19bo12bo$18b3o10b3o9$o$2o$b2o$bo$o16$22b2o8b2o$
21bo4bo2bo4bo$21bo12bo$21bo4bo2bo4bo2$25bo4bo$21b2obo6bob2o$19b2o14b2o
2$19bo4bo6bo4bo$21b2obo6bob2o$20bo2bo8bo2bo$20b3o10b3o$20b3o10b3o7$o$
2o$b2o$bo$o!
Small seeds (all go through the 43-tick predecessor on the right):

Code: Select all

x = 72, y = 30, rule = B3/S23-jHistory
47.2B$47.3B$42.9B$42.10B$41.12B$42.3B3A5B$43.3BA6B$4.B19.B18.4BA4B12.
B$3.3B17.3B16.3BABA2B13.3B$2.4B16.4B16.3B3AB13.4B$.7B13.3BA3B13.4BA3B
12.7B$.7B13.3BA3B13.8B12.7B$2.BAB2AB14.2BA3B14.7B13.6B$2.5A15.3BA2B
14.6B14.3BEB$2.5B15.2B2A2B14.5B15.B4E$.6B14.3B2A2B13.6B14.BE3BE$.7B
13.3B2A2B13.7B13.BE2BE2B$.7B13.7B13.7B13.2B3E2B$2.6B14.6B14.6B14.6B$
2.7B13.7B13.7B13.7B$.7B13.7B13.7B13.7B$.6B14.6B14.6B14.6B$7B13.7B13.
7B13.7B$.8B12.8B12.8B12.8B$2.7B2D11.7B2D11.7B2D11.7B2D$2.B2D4BDBD10.B
2D4BDBD10.B2D4BDBD10.B2D4BDBD$2.B2D5B2D10.B2D5B2D10.B2D5B2D10.B2D5B2D
$4.7B13.7B13.7B13.7B$4.4B16.4B16.4B16.4B$6.B19.B19.B19.B!
It can move a tub, a block or a pond. It can also make two ponds out of one. I unsuccessfully attempted to find a reflector by hand.

Code: Select all

x = 26, y = 67, rule = B3/S23-j
23b2o$22bo2bo$22bo2bo$23b2o$o2b3o$2o2bo$ob3o28$o2b3o14b2o$2o2bo14bo2bo
$ob3o14bo2bo$20b2o22$21b2o$21b2o4$o2b3o$2o2bo$ob3o!
127:1 B3/S234c User:Confocal/R (isotropic rules, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

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Period1GliderGun
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Re: Integralife (B3/S23-j)

Post by Period1GliderGun » June 12th, 2022, 10:53 pm

confocaloid wrote:
June 5th, 2022, 8:53 am
What are chances of finding a gun in this rule? (Maybe this other thread is related.)
...
I see a dim possiblity for a gun if someone can figure out a way to convert a C-heptomino into two spaceships.
It's OK to abbreviate my username to "P1GG," but never, never, call me "pig."

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]

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confocaloid
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Joined: February 8th, 2022, 3:15 pm

Re: Integralife (B3/S23-j)

Post by confocaloid » June 14th, 2022, 8:35 pm

(Semi)natural alien oscillators from Catagolue (periods: 2, 3, 4, 6, 7, 8, 10, 11, 12, 15, 20, 26, 58, 68):

Code: Select all

x = 229, y = 300, rule = B3/S23-j
122b3ob3o$121b2obobob2o$107bo14bobobobo$63b3o40bobo13bobobobo77bo16b2o
$21bo41b4o11b2obo11bob2o8bobo10bo3bobobobo3bo12b2o8b2o8b2o8b2o8b2o8b2o
8bobo14bobo$19b2obo57b3o9b3o11bo10b5o3bo3b5o9bo2bo6bo2bo6bo2bo6bo2bo6b
o2bo6bo2bo6bo2bo6b2obo6bo$2b2o3b2o9b2obobo5b2o3bo3b2o5b2ob3o10bobo2bob
2o7bo4bo9bo4bo8b2o9bo15bo8b4o6b4o6b4o6b4o6b4o6b4o6b4o9b3o5b2o$2bobobo
2bo7bo4bo6bobobobobobo6bobob2o8b2o6b2o8b5o9b5o10bo9b5o7b5o8bo9bo9bo9bo
9bo9bo9bo9bo4bo6bo$4bobob2o6b2o3b2o8bobobobo8bobobo9b2o6b2o39bo12bo5bo
13b4o6b4o6b4o6b4o6b4o5bobob3o4b4o7b5o8bo$3b2obo9bo4bo8b2obobob2o8b2obo
bo7b2obo2bobo9b5o9b5o12b2o6b5o7b5o11bo10bo9bo8bo9bo6b2obo2bo7bo19b2o$
4b3o8bobob2o10b3ob3o13b2o24bo4bo8bo4bo13bo6bo15bo8b4o8bobo7b3o7bo9bo
12b2o5bobo6b2ob2o9bo$16bob2o43b4o13b3o11b3o12bobo5b5o3bo3b5o7bo2bo8bob
o7bo10b2o7bo20b2o7b2ob2o8bobo$17bo46b3o11b2obo10b2obo12bobo7bo3bobobob
o3bo8b2o11bo8b2o18b2o41b2o$109bo12bobobobo$122bobobobo$121b2obobob2o$
122b3ob3o7$9b2o$8bobo$4b3o$5b3obo$2bo$2b2o$2b2o$3bo$bo$o2bo$2o10$2o13b
2o13b2o13b2o13b2o6b2o16b2o$o14bobo12bobo12bobo12bobo4bobo15bobo$b2o13b
2o13b3o12b2o13b2o4b2o16b2o$2b2o13b2o14bobo11b2o13b6o12b2obo2b2o$2bobo
14bo14b2o44bob3obo$3b2o13b2o16b2o10b2o13bo2bo14b2o5b2o$20b2o14bobo10b
2o12bo2bo17bob3obo$20bobo14b2o10bobo12b2o17b2o2bob2o$22b3o25b2o12b2o
18b2o$23bobo57bobo$24b2o57b2o11$2b2o14bo2bo9b2o3b3o$bo2bo12bob2obo8b2o
3b3o$bobo14b4o11b6o$2b2o29bo2bo$18b4o11bo2bo$5b3o10bo2bo9b6o$5bobo10bo
2bo9b3o3b2o$5b2o24b3o3b2o8$19bo10bo$18bobobo4bobobo$4b2o11bobo2bob2obo
2bobo$4bobo9bobo4bo2bo4bobo$5bo11bo14bo$4b2o$4bo12b2o12b2o$3bobo13bo
10bo$3b2o13bo12bo$3b2o13bo12bo$3bobo13bo10bo$4bo12b2o12b2o$4b2o$5bo11b
o14bo$4bobo9bobo4bo2bo4bobo$4b2o11bobo2bob2obo2bobo$18bobobo4bobobo$
19bo10bo7$28b2o36b2o30b2o$27bo2bo34bo2bo28bo2bo$4b2o21b2obo34bob2o28b
2obo$3bo2bo21b2o15b2o19b2o30b2o$3bob2o37bo2bo$4b2o39bobo13b2o$45b2o13b
o2bo$27b3o30bob2o3b3o21b2o4b3o$27b3o31b2o4b3o20bob2o3b3o$5b3o19b3o37b
3o20bo2bo3b3o7b2o$5b3o22b3o11b2o24b3o18b2o7b3o3bo2bo$5b3o22b3o11b2obo
22b3o4b2o21b3o3b2obo$8b3o19b3o15bo5b2o14b3o3b2obo20b3o4b2o$8b3o4b2o28b
o7bo2bo19bo2bo$8b3o3b2obo28bob2o3b2obo20b2o$14bo2bo30b2o5bo$15b2o13b2o
40b2o26b2o$29bob2o38b2obo24bob2o$29bo2bo38bo2bo24bo2bo$30b2o40b2o26b2o
11$6b3o3b3o17b2o2b3o3b3o2b2o$2b2o2b3o3b3o2b2o13b2o2b3o3b3o2b2o$2b2o2b
3o3b3o2b2o17b3o3b3o5$2b2o2b3o3b3o2b2o17b3o3b3o$2b2o2b3o3b3o2b2o13b2o2b
3o3b3o2b2o$6b3o3b3o17b2o2b3o3b3o2b2o12$7b2ob2o$8bobo$6bo5bo$6b2o3b2o$
8bobo$3b2o3bobo3b2o$bo2bo3bobo3bo2bo$b2o2b3o3b3o2b2o2$b2o2b3o3b3o2b2o$
bo2bo3bobo3bo2bo$3b2o3bobo3b2o$8bobo$6b2o3b2o$6bo5bo$8bobo$7b2ob2o13$
7b3o3bo$5b2o3bob2o$6b2o4bobo$9bo4bo$6bo4bo2bo$5bo2bo4bo$5bo4bo$5bobo4b
2o$6b2obo3b2o$6bo3b3o12$5b3o$5bobo5b2o$5b3o4bo2bo$5b3o5bobo$5b3o6bo$5b
3o$5bobo$5b3o15$6b2o$6b2ob2obo2$7b4obo$7b3obo14$2b2o23b2o$2bo2bo19bo2b
o$3b3o3bo11bo3b3o$9b2o9b2o$3b3o3bo11bo3b3o$2bo2bo19bo2bo$2b2o23b2o16$
7b2o3bo$6bobo3b2o$6bo7bo$7b2o3bobo$8bo3b2o16$33bo23bo$4b3o6b3o16bobo4b
3o7b3o4bobo$4bobo6bobo17bo5b3o7b3o5bo$4b3o6b3o24bo9bo5$4bo10bo$3bobo8b
obo$4bo10bo24bo9bo$33bo5b3o7b3o5bo$32bobo4b3o7b3o4bobo$33bo23bo!
AFAIK this still life from the D8_1 census did not yet occur in plain Life:

Code: Select all

x = 21, y = 21, rule = B3/S23-j
5bo9bo$b2obobo7bobob2o$b2obo2bo5bo2bob2o$4b3obo3bob3o$b3o3bo5bo3b3o$o2bo2bo3b
o3bo2bo2bo$bobobob7obobobo$2bobobo7bobobo$3bo2bob2ob2obo2bo$6bob2ob2obo$5b2o
7b2o$6bob2ob2obo$3bo2bob2ob2obo2bo$2bobobo7bobobo$bobobob7obobobo$o2bo2bo3bo
3bo2bo2bo$b3o3bo5bo3b3o$4b3obo3bob3o$b2obo2bo5bo2bob2o$b2obobo7bobob2o$5bo9bo!
Edit: each of these two spaceships is in at least one census but is not (yet) in C1:

Code: Select all

x = 26, y = 19, rule = B3/S23-j
23bo$22b2o$21b2o$20b3o$21b2o$22b2obo$3bobobo15bo$2b2ob2o$b2o4bo15b3o$
3o20b2o$b2o4bo15b3o$2b2ob2o$3bobobo15bo$22b2obo$21b2o$20b3o$21b2o$22b
2o$23bo!
127:1 B3/S234c User:Confocal/R (isotropic rules, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

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