d/dx's shtuffs

[d/dx]

not everyone who's active has been mentioned

I'd like to wish everyone on these forums a merry christmas,

[d/dx]

without s4c becomes naturalistic breeder

Code: Select all

x = 5, y = 4, rule = B34j/S23
b3o$o2bo$2o2bo$3b2o!

[d/dx]

one engine and a mwss

Code: Select all

x = 12, y = 12, rule = B34j/S234c
b3o$o2bo$2o2bo$3b2o3$9b3o$8bo2bo$11bo$7bo3bo$11bo$8bobo!

one engine and two hwss

Code: Select all

x = 16, y = 52, rule = B34j/S234c
2b3o$bo2bo$b2o2bo$4b2o5$13bo$12b3o$12bob2o$13b3o$13b3o$13b3o$13b2o31$
3o$o2bo$o$o3bo$o3bo$o$bobo!

[d/dx]

temporary trans boat on table (for like 3 generations)

Code: Select all

x = 3, y = 17, rule = B3/S23
2bo$2bo$2bo$bo$bo$bo$bo$bo$o$o$o$o$bo$bo$bo$bo$bo!

[d/dx]

beehif maker

Code: Select all

x = 8, y = 11, rule = B34j/S234c
2b2o$2obo$o$obo$b2o3$2bo$bo$bo5bo$b6o!

another one

Code: Select all

x = 13, y = 13, rule = B34j/S234c
6b6o$6bo5bo$6bo$7bo4bo$9b2o4$2b2o$2obo$o$obo$b2o!

[d/dx]

potentially hard question:

a non-fading unique configuration (NFUC) is a configuration of cells which
1. does not die out completely
2. there exists a live cell in it which, if it is made dead, will change the course of the pattern's evolution.

some example NFUCs:

Code: Select all

x = 53, y = 6, rule = B3/S23
10bo$2o6bo3b4o12b2o20b3o$2o6bo3bo16b2o$8bo20bo21bo$11bo$9b2o!

[[ VIEWONLY ]]

some non-NFUCs:

Code: Select all

x = 42, y = 10, rule = B3/S23
12b2o19bo6bo$o$b2o10bo$34bo2bo$30bo$41bo$32bo$35bo2$26bo!

[[ VIEWONLY ]]

there exist 2 NFUCs with 3 cells (preblock and blinker).
how many NFUCs are there with 4 cells? 5? 6? 7? n cells?

[confocaloid]

I don't understand why the block is given as "example NFUC". From your definition, it fails to meet the requirement (2): there is no live cell in the block which, if made dead, would change any future generation.

From the definition, it seems like every arrangement of well-separated blocks, monominoes (dot sparks), dominoes and duoplets counts as non-NFUC as long as it involves at least one block. It does not die out completely (due to the block), and removing any single live cell has no effect on the future generations of the pattern.

Code: Select all

x = 25, y = 11, rule = DoubleB3S23
12.2C4.BC$12.2C9.C$24.B$15.C2$2C17.BC$BC17.2C$14.CA$14.2C$20.C$19.C!

[...] a non-fading unique configuration (NFUC) is a configuration of cells which
1. does not die out completely
2. there exists a live cell in it which, if it is made dead, will change the course of the pattern's evolution.

some example NFUCs: [...]
some non-NFUCs: [...]

[d/dx]

i argue that the block provided is an NFUC because from the starting configuration, it doesn't go through the pre-block phase and becomes the four-cell form of the block on gen 0, while the preblock becomes the four-cell form at gen 1. i also didn't say "future generation", but "evolution", which refers to "this and all future generations". i believe you even clarified this in your post about the 48 generations of the r-pentomino.

[confocaloid]

Then it seems that every pattern that doesn't die out entirely after finitely many ticks, trivially constitutes "NFUC".
(1) It does not die out completely.
(2) Because of (1), there is at least one alive cell, which can be made dead and will "change the course of the pattern's evolution" under your suggested interpretation, simply because the current generation changes.

The requirement (2) becomes redundant, and your "NFUC" becomes equivalent to "a pattern that does not die out entirely after finitely many ticks".

[...] i also didn't say "future generation", but "evolution", which refers to "this and all future generations". [...]

[...]
a non-fading unique configuration (NFUC) is a configuration of cells which
1. does not die out completely
2. there exists a live cell in it which, if it is made dead, will change the course of the pattern's evolution.
[...]

[d/dx]

okay, i take that back, i was wrong, the block is non-NFUC. although the question is still open with the original definition of a NFUC.

also, patterns that violate criterion 1 shall be classified as FUC, patterns that violate criterion 2 shall be classified as NFNUC, and patterns that violate both shall be classified FNUC.

edit: almost a gun

Code: Select all

x = 36, y = 10, rule = B3/S23
25bo$11bo10b4o$11bobo7b4o$14b2o5bo2bo$14b2o5b4o$14b2o6b4o6b2o$2b2o7bob
o11bo6bobo$bobo7bo22bo$bo32b2o$2o!

edit 2: p30 pi factory (capped via bottom shuttle)

Code: Select all

x = 36, y = 29, rule = B3/S23
25bo$22b4o$21b4o$12bo8bo2bo$12bobo6b4o$13bobo6b4o6b2o$13bo2bo8bo6bobo$
13bobo18bo$2b2o8bobo19b2o$bobo8bo$bo$2o6$16bo$15b3o$14b5o$13b2o3b2o$
14b5o$14bo3bo$15bobo$16b3o$18b2o$18bo$19b3o$21bo!

[confocaloid]

okay, i take that back, i was wrong, the block is non-NFUC. although the question is still open with the original definition of a NFUC. [...]

Well... if the question is still open regarding whether or not the block counts as an example of the concept under discussion, that seems to indicate lack of a sufficiently clear definition / explanation of the concept under discussion. Depending on how you define things, it might be hard to decide for some large or engineered patterns (e.g. "unknown fate"), but whether the block counts as an example can be expected to be totally obvious, right?

edit 2025-02-01: deleted tangential

[d/dx]

"can i get the eater bridge eater"
"yea which one"

Code: Select all

x = 71, y = 12, rule = B3/S23
24b2o27b2o8bo$25bo26bobo8b3o$25bobo13bo10bo13bo$6b2o18b2o11b3o9b2o12b
2o$2o5bo6b2o12b2o8bo3b2o9b2o12b2o$obob3o7bobo11bobo7b2o2bobo8bobo11bob
o$2bobo11bo13bo13bo10bo13bo$2b2o12b2o12b2o12b2o9b2o12b2o$18bo$18b3o$
21bo$20b2o!

also, scrap all of what I said above about NFUCs. new, new, epic definition:
NFUC is:
a) the previous two requirements
b) there exists no dead cell that, when turned on, changes the fate of the pattern.

this makes block (and a lot of other edge cases) NFUC.

[confocaloid]

The block satisfies (1), it "does not die out completely".

However, the block fails to satisfy (2), "there exists a live cell in it which, if it is made dead, will change the course of the pattern's evolution.". At least under what seems a natural interpretation. Making a single live cell dead will just transform the block into a 1-tick predecessor of the block, which arguably doesn't count as "changing the course of the pattern's evolution".

Now, you added an additional requirement (b) "there exists no dead cell that, when turned on, changes the fate of the pattern." I don't understand how checking this additional requirement could possibly affect whether the block is "NFUC", because it already failed (2) and both (1) and (2) seem to be included under (a) (i.e. "the previous two requirements"). Anyway, the block fails to satisfy (b) too, because there is in fact a dead cell (pick any dead neighbour of an alive cell) that, when turned on, changes the fate (depending on which cell you choose, the block will either transform into a spark or transform into a boat predecessor).

[...]
also, scrap all of what I said above about NFUCs. new, new, epic definition:
NFUC is:
a) the previous two requirements
b) there exists no dead cell that, when turned on, changes the fate of the pattern.

this makes block (and a lot of other edge cases) NFUC.

potentially hard question:

a non-fading unique configuration (NFUC) is a configuration of cells which
1. does not die out completely
2. there exists a live cell in it which, if it is made dead, will change the course of the pattern's evolution.
[...]

[d/dx]

jguiofdrshjguidfospjgiuo very confusing of me, not what i meant

the real definition of NFUC (official real this time) is 1 && (2 || NOT b)

me when i mix up "a" and "no"

so worded correctly, FINALLY, OFFICIALLY, NFUC is this:

i. The pattern is not a spark.
ii. At least one of the following:
- There exists a live cell somewhere in the pattern that, when turned off, will change its evolution.
- There exists a dead cell somewhere near the pattern that, when turned on, will change its evolution.

[d/dx]

extremely crappily made CJ's Life 2g collision map

Code: Select all

x = 396, y = 770, rule = B34j/S234c
58$183bo$182bo62bo$182b3o18bo40bo$202bo41b3o$202b3o7$172b2o$171bobo20b
2o40b2o$173bo21b2o40b2o$194bo41bo13$185bo44bo$184bo44bo$184b3o42b3o5$
130bo$129bo58bo$129b3o55b2o38bo$187bobo36b2o$226bobo3$129b3o$129bo$
130bo9$257bo$218bo15bo21bo$217bo15bo22b3o$159bo17bo16bo22b3o13b3o$158b
o17bo16bo$158b3o15b3o14b3o5$212b3o15b3o$155b3o16b3o15b3o19bo17bo11b2o$
157bo18bo17bo18bo17bo13b2o$156bo18bo17bo50bo14$196bo36bo18bo$100bo18bo
19bo16bo19bo18bo19bo16bo18bo$99bo18bo19bo16bo19bo19b3o16bo17b3o16b3o$
99b3o16b3o17b3o14b3o17b3o36b3o5$232bo$100b3o17b3o89bo18b2o$100bo19bo
20bo17bo20bo13b2o15b2o18bobo14b2o$101bo19bo18b2o16b2o19b2o13bobo14bobo
34bobo$140bobo15bobo18bobo12bo53bo$89bo13$117bo$116bo$116b3o4$140bo16b
o17bo16bo16bo$139bo16bo17bo16bo16bo$139b3o14b3o15b3o14b3o14b3o3$109b2o
$108bobo$110bo$130b3o16b3o16b3o15b3o15b3o$132bo18bo18bo17bo17bo$131bo
18bo18bo17bo17bo71$229bo$228bo$228b3o8$69bo108bo$68bo108bo36b2o$68b3o
106b3o35b2o$214bo6$69bo$68b2o$68bobo102b2o150bo$172bobo149bo$174bo149b
3o7$100bo$99bo20bo203b2o$99b3o17bo204bobo$119b3o202bo6$47bo$46bo69bo$
46b3o45b2o19b2o$93bobo19bobo82bo15bo39bo$95bo82bo20bo15bo39bo$177bo21b
3o13b3o15bo21b3o17bo$177b3o52bo41bo$232b3o39b3o3$40b2o$41b2o$40bo194b
3o$170b3o62bo17b2o16bo40bo$172bo21b2o15b2o23bo16bobo14b2o39bo$171bo23b
2o15b2o39bo16bobo38b3o$194bo16bo4$309b2o$308bobo$310bo$97bo$96bo$96b3o
$353bo$352bo$352b3o3$157bo16bo$156bo16bo$156b3o14b3o$89b2o$90b2o$89bo$
343b2o$344b2o$343bo$175bo30bo$152b2o20b2o29bo38bo$153b2o19bobo28b3o35b
o$152bo90b3o2$227bo$226bo$226b3o66bo$294bo$42bo204b3o44b3o$41bo205bo$
41b3o155b2o47bo$200b2o$199bo15b3o$93bo123bo$92bo123bo78bo$92b3o199b2o$
43bo250bobo$42b2o$42bobo3$95b3o$95bo$96bo83bo187bo$179bo187bo$179b3o
185b3o$371b3o$371bo$372bo3$179b3o$179bo$180bo4$146bo120bo$145bo120bo$
145b3o102bo15b3o$249bo$103bo145b3o$102bo$102b3o$291bo$290bo$290b3o$57b
o211b2o$56bo72b2o138bobo$56b3o71b2o118b2o17bo$129bo84bo13bo21bobo$213b
o13bo22bo94bo$94b2o117b3o11b3o114bo$93bobo193bo54b3o$95bo192b2o$59bo
228bobo$58b2o$58bobo3$209b2o21b2o$209bobo20bobo$209bo22bo102b2o$334bob
o$336bo6$95bo$94bo$94b3o6$93bo77bo$92b2o76bo$92bobo53bo21b3o34bo$147bo
58bo$147b3o56b3o3$277bo$276bo$149b3o124b3o$149bo24b2o17b3o$150bo23bobo
18bo$174bo19bo5$278b2o$278bobo$278bo8$70bo$69bo47bo$69b3o44bo$116b3o4$
70b3o$70bo$71bo$116bo$115b2o$115bobo29$364bo$363bo$363b3o2$368bo$367b
2o$367bobo137$139bo$138bo$138b3o9$128b2o$129b2o$128bo!
#c by reading this you are now legally bound to give me 14 air molecules. get epic prank'd

top to bottom, categories are: nothing, not nothing, and dreaded

[d/dx]

prolly known

Code: Select all

x = 4, y = 4, rule = StateInvestigator
.EA$E2.A$A.AE$.AE!

edit: tiny demo

Code: Select all

x = 39, y = 32, rule = StateInvestigator
2.11E$.13Q$A13.A$2A11.2A8.A$21.A.A$19.2A$15.C3.2A11.C$19.2A$21.A.A$
23.A2$28.2A$28.2A$14.3A$9.2A3.A$9.2A4.A$9.A17.3A$7.A.3A14.A3.A$6.A.A.
A15.2A.2A$6.A2.A$7.2A28.A$36.A.D$14.A22.D$13.3A$12.2A.2A$11.3A.3A6.8A
$11.3A.3A6.A.4A.A$11.3A.3A6.8A$11.3A.3A$12.2A.2A$13.3A$14.A!

[b-engine]

probably known

Code: Select all

x = 4, y = 4, rule = StateInvestigator
.EA$E2.A$A.AE$.AE!

Yes it's really known.

[d/dx]

2 glider tredecomino (real)

Code: Select all

x = 5, y = 6, rule = B3/S23
2b2o$b4o$2o$b2o$2b2o$3bo!

[d/dx]

hice and bookendses

Code: Select all

x = 16, y = 2, rule = B3/S23:T16,0
16o$obobo5bobobo!

[confocaloid]

hice and bookendses

Code: Select all

x = 16, y = 2, rule = B3/S23:T16,0
16o$obobo5bobobo!

Hice

Code: Select all

x = 14, y = 7, rule = B3/S23
9b2ob2o$bo7bo3bo$obo7b3o$obo$bo6b3o$7bo3bo$7b2ob2o!

[d/dx]

cj's life breeder has 2 8cell forms
this allows us to make a 16 cell quadratic grow

Code: Select all

x = 16, y = 8, rule = B34j/S234c
b3o$bo2bo$o2b2o2$13bo$12b3o$11bo2b2o$11bo!

[d/dx]

p12 plinker bluffer

Code: Select all

x = 17, y = 15, rule = B3/S23
4b3o3b3o$4bo2bobo2bo$4bo7bo$4bo7bo$5bobobobo2$8bo$7b3o$7b3o$3o11b3o$o
2bo9bo2bo$o15bo$o3bo7bo3bo$o15bo$bobo9bobo!

[d/dx]

mago with tal

Code: Select all

x = 21, y = 15, rule = B3/S23
8bo$7bobo$8bo2$6b5o$5bo4bo$4bo2bo$bo2bob2o$obobo5bo8b2o$bo2bo4bobo7bo$
4b2o2bo2bo5bobo$9b2o6b2o2$12b3o$12bo2bo!

[d/dx]

do we actually know which 15 bit still life is yet to occur naturally? we have all but one, and by now surely someone would've figured out which one it is

[confocaloid]

do we actually know which 15 bit still life is yet to occur naturally? we have all but one, and by now surely someone would've figured out which one it is

I think that's long⁹ snake (apgcode xs15_y3g853zwg8421z65), currently it is missing from the C1/xs15 tabulation.

Here are the 16-bitters currently missing from the b3s23/C1/xs16 tabulation:

xs16_6421344og84c glider cost 13
xs16_0ci52zmq23 glider cost 12
xs16_bdggzwhik8zw1 glider cost 11
xs16_0ghn8426z56 glider cost 11
xs16_5b88gzx122qk glider cost 11
xs16_358gzx6bgzy256 glider cost 11
xs16_31248a51248c glider cost 11
xs16_xggka23zad11 glider cost 11
xs16_25a842akg8o glider cost 11
xs16_wgjl8zg9icz01 glider cost 11
xs16_178421eg84c glider cost 11
xs16_39cggzx122qk glider cost 11
xs16_4ai3zw23c48c glider cost 11
xs16_xg8421eg8oz321 glider cost 11
xs16_wj9c826z6221 glider cost 11
xs16_0ghn84cz1ac glider cost 10
xs16_dbgzw12eg8o glider cost 10
xs16_5b8ozwg853zw11 glider cost 10
xs16_x8k4871zad11 glider cost 10
xs16_0g8ge1248goz23 glider cost 10
xs16_2eg8421eg8o glider cost 10
xs16_0ggo8b5z12ko glider cost 10
xs16_039cggzgs243 glider cost 10
xs16_4ai3zw23c4go glider cost 10
xs16_31248f1248c glider cost 10
xs16_0g853z122eg8o glider cost 10
xs16_dbgzwh952zw11 glider cost 10
xs16_1784ozx122qk glider cost 10
xs16_c9jzw12eg8o glider cost 10
xs16_ggxg8421e8z03421 glider cost 10
xs16_3lozwgjl8zw1 glider cost 10
xs16_3123ckzy212ko glider cost 10
xs16_628c9jzwca1 glider cost 10
xs16_dbgzw115a8o glider cost 10
xs16_3146o8gzy31248c glider cost 9
xs16_31248gzy21248a52 glider cost 9
xs16_0bdz32139c glider cost 9
xs16_39cggzx101248go glider cost 9
xs16_0dbz32139c glider cost 9
xs16_3lozx31248go glider cost 9
xs16_08o6421e8z65 glider cost 9
xs16_y4g853zxg8421zca1 glider cost 9
xs16_o4a51246z056 glider cost 9
xs16_1784q23zw65 glider cost 9
xs16_17842akg84c glider cost 9
xs16_321eg8og84c glider cost 9
xs16_31248gzy21248ge2 glider cost 9
xs16_w3ia4zcq1z32 glider cost 9
xs16_0gjl8zdmz11 glider cost 9
xs16_0ol3z6421e8 glider cost 9
xs16_08ehi3z6243 glider cost 9
xs16_y0g853z0cq1z65 glider cost 9
xs16_0ggs24871z56 glider cost 9
xs16_64215akg84c glider cost 9
xs16_358gzwhhmazw1 glider cost 8
xs16_3215a84c826 glider cost 8
xs16_xg84c3213zca1 glider cost 8
xs16_08ljgz0g8421z32 glider cost 8
xs16_g8ge12koz56 glider cost 8
xs16_358gzw116agzy223 glider cost 8
xs16_5b88gzx12pm glider cost 8
xs16_y0g853zwmdz65 glider cost 8