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R-Pentomino Predecessor!
Posted: September 24th, 2022, 12:03 pm
by YellowCandy
I found an r-pentomino predecessor!
2b3o$5bobo$o3b2obo$2ob3o$2b50 !
rule = B3/S23
Re: R-Pentomino Predecessor!
Posted: September 24th, 2022, 12:08 pm
by YellowCandy
If you can't figure that out:
00111000
00000101
10001101
11011100
00111110
0 = dead
1 = alive
Re: R-Pentomino Predecessor!
Posted: September 24th, 2022, 12:26 pm
by YellowCandy
ANOTHER
001011010100000000000000
111000100000000000000000
000011010100000000000000
010010000000000000000000
000011011000000000000000
011001011100000000000000
001110001000000000000000
011001011000000000000000
110001100000000000000000
110001001000000000000111
000000000000000000000100
000000000000000000000010
Again, 0 = Dead 1 = alive.
Re: R-Pentomino Predecessor!
Posted: September 24th, 2022, 1:11 pm
by confocaloid
The recommended way to share a pattern is to post the
RLE code of the pattern within "code" tags. Here are the two patterns you posted above (with the first pattern fixed by changing '0' to 'o' and removing the space before '!'):
Code: Select all
x = 8, y = 5, rule = B3/S23
2b3o$5bobo$o3b2obo$2ob3o$2b5o!
Code: Select all
x = 24, y = 12, rule = B3/S23
2bob2obobo$3o3bo$4b2obobo$bo2bo$4b2ob2o$b2o2bob3o$2b3o3bo$b2o2bob2o$2o
3b2o$2o3bo2bo12b3o$21bo$22bo!
Some more R-pentomino predecessors can be found at
R-pentomino. Also see
Mark Niemiec's database (
The 2 five-bit methuselahs),
R-pentomino hasslers,
Category:B-heptomino-to-R-pentomino converters,
Category:Herschel-to-R-pentomino converters. If more predecessors are needed,
Logic Life Search and/or
Tutorials/Glider syntheses might turn out helpful.
Re: R-Pentomino Predecessor!
Posted: September 24th, 2022, 1:48 pm
by GUYTU6J
Welcome to the forums! Here is a little explanation to the link-rich response above:
R-pentomino is on the second place in
list of common evolutionary sequences, meaning that there will be a large amount of easy-to-find random patterns of various size and complexity that evolve to an R-pentomino or converge to its evolutionary sequence. Considering their further applications, our community has estabilished several criteria to decide which ones are of interest.
The ones that we generally care about are, as exemplified by several links above, small ones (as listed on the LifeWiki R-pentomino page), easily glider-synthesizable ones (as mentioned in Mark Niemiec's database and Tutorials/Glider syntheses), and "engineerable" ones (as demonstrated in R-pentomino hasslers and
elementary conduits/converters).
All that said, don't worry about letting us down! Before future exploration, I recommend starting from our
tutorials and
textbook.
Re: R-Pentomino Predecessor!
Posted: September 25th, 2022, 11:08 am
by hotdogPi
Interestingly, I don't recognize the immediate predecessors for the first pattern. The way the second one forms is much more typical.
Then there's the formation in the strictly volatile p86, in which it doesn't converge until generation 11 (5 is a very common convergence point, but past 5 is almost unheard of):
Code: Select all
x = 31, y = 11, rule = B3/S23
29b2o2$28bo$bo28bo$3o22bo2bobo$2bo21bo4bo$25bob2o$26b2o2$23b2o$23b2o!
And the "fake R"; check generation 4 and 5 of the viewer (11 and 12 of the pentomino itself) — the fake one dies out.
Code: Select all
x = 20, y = 5, rule = B3/S23
b3o12b3o$bo2bo11bo2bo$o3bo11bo2bo$bo2bo11bo2bo$bobo13b2o!
Re: Predecessors of Interesting Patterns!
Posted: October 11th, 2022, 1:27 pm
by qqd
Suggest should be renamed as above and, for a start, a clean predecessor of a paperclip:
R-pentomino+Honey-farm+Traffic-light=Paperclip
Code: Select all
x = 22, y = 11, rule = B3/S23
2b3o2$o5bo7bo$o5bo6bobo$o5bo6bob2o$14b2o$2b3o2$20bo$19b3o$21bo!
Some predecessors of patterns might allow fewer-glider syntheses.
Re: R-pentomino predecessors
Posted: December 26th, 2023, 6:04 pm
by confocaloid
bump
confocaloid wrote: December 26th, 2023, 7:59 am[...] Can this be connected to a known X-to-R?
Code: Select all
x = 45, y = 33, rule = LifeHistory
43.A$42.A2B$41.B3A$40.4B$39.4B$38.4B$37.4B$36.4B$35.4B$34.4B$33.4B$
18.A13.4B$17.A.A11.4B$17.A.A10.4B$.2A7.2A4.2A.3A7.4B$B2AB5.B2AB4.B4.A
5.4B$.4B.B2.B.2B3.2AB3A5.4B$2.10B4.2A.A6.4B$.12B.4B7.4B$13B3D8.4B$B2C
11B2DB6.A3B$2B2C9B3DB5.A3B$2BC11B2DB4.B3A$17B3.4B$10BDBD2B4.4B$.9BDBD
2B3.4B$3.5B.B3D3B.4B$2.B2A2B3.10B$3.2A3.6B.4B$8.2A.B2.4B$9.A3.4B$6.3A
3.4B$6.A4.4B!
[...]
dvgrn wrote: December 26th, 2023, 9:52 am
confocaloid wrote: December 26th, 2023, 7:59 amCan this be connected to a known X-to-R?
Blocks on both sides of the input R like that are still pretty much a death sentence for an R-to-X conduit. HLx111R is one of the stars of the show as far as edgy R outputs are concerned -- and unfortunately it's still one cell away from getting an R past that top block. Try fitting these two halves together: [...]
Motivated by that question, below are several R-pentomino predecessors (from
octo3obj database) that can be used to create that input R:
Code: Select all
x = 119, y = 142, rule = LifeSuper
42.M$43.2M$42.2M23$37.2E30.2A6.2E32.2A4.2E$37.2E30.2A6.2E32.2A4.2E3$
24.2A$24.2A44.2A2.2A38.2A$30.A5.D33.2A2.2AD32.2A3.2AD$18.2M9.A.A4.2D
38.2D30.A2.A4.2D$17.M.M5.2A2.A.A3.2D38.2D32.2A4.2D$19.M5.2A3.A82.2A$
113.2A2$24.2A$24.2A9.2E38.2E38.2E$35.2E38.2E38.2E6$M.M$.2M$.M14$85.2M
$86.2M$85.M2$37.2E38.2E38.2E$37.2E38.2E38.2E$113.2A$64.2A47.2A$32.A
31.2A4.2A$31.A.A35.A2.A32.2A$31.A.A36.2A4.D28.2A2.2A3.2AD$32.A3.2A38.
2D31.2A3.2A2D$36.2A29.2A6.2D38.2D$67.2A38.A$27.2A.2A74.A.A$27.2A.2A
74.A.A$66.2A39.A$35.2E29.2A7.2E38.2E$35.2E38.2E38.2E$92.M$90.2M$91.2M
6$46.2M$45.M.M$47.M11$80.2M$81.2M$65.2A13.M$65.2A$37.2E38.2E$37.2E34.
2A2.2E$33.2A31.2A5.2A$33.2A31.2A2$25.2A42.A4.2A$25.2A2.2A3.2AD31.A.A
3.2AD$29.2A3.2A2D30.A.A5.2D$35.2D32.A5.2D3$28.2A$28.2A$35.2E38.2E$35.
2E38.2E20$3M$2.M$.M!
#C [[ STOP 127 HARDRESET ]]
Some predecessors go through a spark+block collision, and might be solvable by a reasonably sized engineered conduit (a combination of a block factory and a sparker):
Code: Select all
x = 40, y = 15, rule = LifeHistory
8.2E28.2E$8.2E28.2E2$31.A$3A27.A.A$3.A.2A26.A.2A$2.A2.2AD23.2A2.2AD$.
A5.2D28.2D$6.2D28.2D5$6.2E28.2E$6.2E28.2E!
: this conduit does "something similar" (around T = 120), but the output is B
MathAndCode wrote: January 16th, 2022, 11:50 pm
Here is a new H->B conduit, whose systematic name is HF132B.
Code: Select all
x = 27, y = 34, rule = LifeHistory
24.2D$15.2A8.2D$15.2A7.2D$24.D6$22.2A$22.2A14$C$C.C$3C$2.C10.2A3.2A$11.
A2.A4.A$11.3A4.A$18.2A$11.3A$11.A2.A$13.2A!
Getting the glider output (which would also be new) looks possible, but I haven't found a way to do it.