Pure nonfillers

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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calcyman
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Pure nonfillers

Post by calcyman » August 5th, 2020, 10:17 am

A 'pure nonfiller' is a pattern where:
  • Every cell in the universe is alive in at least one generation;
  • Every cell in the universe is eventually dead (or, equivalently, alive in only finitely many generations).
Equivalently it's a 2-state pattern that, when run in LifeHistory, results in every cell eventually becoming blue forever.

Here's a 63-by-57 pure nonfiller. Can you find any smaller examples?

Code: Select all

x = 63, y = 57, rule = LifeHistory
32.3A$32.A2.A$25.3A4.A6.3A$24.A2.A4.A3.A.A2.A$24.A2.A4.A3.A.A2.A$23.
3A.A.A2.A10.A$22.A5.A4.A.A2.2A2.2A$22.3A2.2A16.A$20.A6.A10.2A.A.3A$
20.3A3.A.A9.A8.A$18.A9.A10.A5.3A$18.3A28.A$16.A6.2A4.A17.3A$16.3A5.A.
2A.A21.A$14.A9.A3.2A7.2A10.3A$14.3A8.2A.2A7.2A14.A$12.A8.3A2.A.2A21.
3A$12.3A6.2A2.3A4.2A21.A$10.A19.2A.2A7.2A9.3A$10.3A11.A.A.4A.A8.2A13.
A$8.A16.2A6.A9.A3.A7.3A$8.3A6.2A7.A5.2A6.A4.3A11.A$6.A10.2A20.A2.A.A
12.3A$6.3A29.3A.3A.A13.A$3.A.A25.A10.A3.A10.A.3A$2.5A.A12.A6.A3.3A5.A
2.3A15.A$.2A6.A10.5A3.A11.A2.5A9.5A$2A4.2A12.A3.A3.A11.2A10.A.A$.A.A
3.A2.A10.2A4.A3.A3.A4.2A10.A2.A3.A.A$8.A.A10.2A11.A3.A3.A12.2A4.2A$.
5A9.5A2.A11.A3.5A10.A6.2A$.A15.3A2.A5.3A3.A6.A12.A.5A$.3A.A10.A3.A10.
A25.A.A$2.A13.A.3A.3A29.3A$3.3A12.A.A2.A20.2A10.A$3.A11.3A4.A6.2A5.A
7.2A6.3A$5.3A7.A3.A9.A6.2A16.A$5.A13.2A8.A.4A.A.A11.3A$7.3A9.2A7.2A.
2A19.A$7.A21.2A4.3A2.2A6.3A$9.3A21.2A.A2.3A8.A$9.A14.2A7.2A.2A8.3A$
11.3A10.2A7.2A3.A9.A$11.A21.A.2A.A5.3A$13.3A17.A4.2A6.A$13.A28.3A$15.
3A5.A10.A9.A$15.A8.A9.A.A3.3A$17.3A.A.2A10.A6.A$17.A16.2A2.3A$19.2A2.
2A2.A.A4.A5.A$19.A10.A2.A.A.3A$21.A2.A.A3.A4.A2.A$21.A2.A.A3.A4.A2.A$
21.3A6.A4.3A$27.A2.A$28.3A!
What do you do with ill crystallographers? Take them to the mono-clinic!

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dvgrn
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Re: Pure nonfillers

Post by dvgrn » August 5th, 2020, 10:31 am

calcyman wrote:
August 5th, 2020, 10:17 am
Here's a 63-by-57 pure nonfiller. Can you find any smaller examples?
That's very tricky, using a 'messless' result from Catagolue to turn on all the cells in the center.

That particular sparkthuselah lasts so long that I bet it's overkill somehow -- there's probably something in one of the messless tabulations that has a smaller bounding box at some point, but still hits all the center cells that it has to hit.

EDIT: Okay, here's my move in the Pointless Optimization Game, based on this soup:

Code: Select all

x = 61, y = 55, rule = LifeHistory
31.3A$30.A2.A$24.3A6.A4.3A$24.A2.A.A3.A4.A2.A$24.A2.A.A3.A4.A2.A$22.A
10.A2.A.A.3A$22.2A2.2A2.A.A4.A5.A$20.A16.2A2.3A$20.3A.A.2A10.A6.A$18.
A8.A9.A.A3.3A$18.3A5.A10.A9.A$16.A28.3A$16.3A30.A$14.A32.3A$14.3A19.
2A13.A$12.A18.3A.2A.3A8.3A$12.3A12.A3.3A2.A2.A13.A$10.A6.A7.A.2A4.A3.
A13.3A$10.3A4.2A5.2A2.A9.A16.A$8.A8.A2.A6.2A3.3A18.3A$8.3A5.A2.A7.A
29.A$6.A9.3A7.2A27.3A$6.3A8.A10.A10.A18.A$3.A.A15.A17.2A14.A.3A$2.5A.
A8.3A.A14.A22.A$.2A6.A7.2A2.A14.3A.2A13.5A$2A4.2A9.2A16.A2.3A9.A.A$.A
.A3.A2.A39.A2.A3.A.A$8.A.A42.2A4.2A$.5A13.3A2.A16.2A8.A6.2A$.A16.2A.
3A14.A2.2A9.A.5A$.3A.A17.A14.A.3A12.A.A$2.A16.2A17.A13.3A$3.3A14.A10.
A10.A11.A$3.A28.2A7.3A6.3A$5.3A24.A7.A2.A8.A$5.A19.3A3.2A6.A2.A5.3A$
7.3A11.A9.A2.2A5.2A7.A$7.A14.A3.A4.2A.A7.A3.3A$9.3A8.A2.A2.3A3.A15.A$
9.A9.3A.2A.3A15.3A$11.3A8.2A22.A$11.A30.3A$13.3A28.A$13.A9.A10.A5.3A$
15.3A3.A.A9.A8.A$15.A6.A10.2A.A.3A$17.3A2.2A16.A$17.A5.A4.A.A2.2A2.2A
$18.3A.A.A2.A10.A$19.A2.A4.A3.A.A2.A$19.A2.A4.A3.A.A2.A$20.3A4.A6.3A$
27.A2.A$27.3A!
Obviously C4_1 is a better place to look for small explosive messless stuff -- the center cell might theoretically be a problem, but starting a soup after T=0 means you can usually just put one ON cell there and everything will be fine. But there were more C4_4s here so that was where I ended up looking.

Whoever makes the final move in the Pointless Optimization Game is the champion, as usual -- giving a new meaning to the term PogChamp.

I didn't write a scraper to download all the likely SmallExplosiveMessless candidates and hunt through them for small-diameter stages, but I did write this:

Code: Select all

import golly as g

d = []
for i in range(2000):
  r = g.getrect()
  if r == []: r = [0, 0, 0, 0]
  d+=[r[2]]
  g.run(1)
ptr=0
g.new("Graph")
for val in d:
  for y in range(val):
    g.setcell(ptr,-y,1)
  ptr+=1
g.fit()
Paste a messless soup into Golly, then run this via an assigned keyboard shortcut (File > Preferences > Keyboard) (if you're using Golly 3.4 you can just map a key to "Run Recent Script", and it will come in handy for all kinds of repetitive tasks.)

A good candidate will have a graph that dips below its starting diameter, toward the left side of the graph, or at least not near the right end. I only looked at about 25 soups, mostly from the link above, so there's definitely room for improvement.

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dvgrn
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Re: Pure nonfillers

Post by dvgrn » August 5th, 2020, 4:04 pm

dvgrn wrote:
August 5th, 2020, 10:31 am
EDIT: Okay, here's my move in the Pointless Optimization Game, based on this soup:

Code: Select all

x = 61, y = 55, rule = LifeHistory...
I was going to keep this next one in reserve, so that I might have a next move ready to go in the Pointless Optimization Game. But... well, that's just sandbagging. Here's 47x43, with a C1 messless 12h soup:

Code: Select all

x = 47, y = 43, rule = LifeHistory
25.A$24.3A$18.A4.2A.A5.A$17.3A3.3A5.3A$16.A2.2A2.3A4.A2.2A$19.A3.3A8.
A$15.5A4.2A3.3A3.A$14.A2.2A2.A12.3A$13.3A3.2A11.A4.A$12.A5.A6.3A2.2A
4.3A$11.3A6.A4.A4.A.A6.A$10.A8.A6.A11.3A$9.3A29.A$8.A31.3A$7.3A7.2A.
4A.3A.A13.A$6.A10.A2.2A.A.5A12.3A$5.3A8.3A3.A.2A.4A10.A3.A$2.2A4.A9.
4A3.A5.A11.A.A$.A3.2A10.A.A.3A3.A2.A10.A4.A$A3.A3.A8.A3.A.3A.2A2.A10.
4A$A5.3A7.2A.A.6A10.A7.A$3A3.4A8.A3.A4.A.2A6.4A3.3A$.A7.A12.2A2.2A3.A
6.3A5.A$.4A11.2A.A.A.A3.2A.A7.A3.A3.A$A4.A5.A4.A.A3.A3.2A.2A9.2A3.A$.
A.A6.A6.A2.A8.3A6.A4.2A$.A3.A4.A5.6A3.A.A.A9.3A$2.3A5.A2.A2.2A.2A2.2A
.3A2.A8.A$3.A6.3A5.A.A.A.2A2.2A7.3A$4.3A9.A2.2A5.A2.3A6.A$5.A29.3A$6.
3A18.A8.A$7.A6.A.A9.A6.3A$8.3A4.2A11.A5.A$9.A4.A11.2A3.3A$10.3A12.A2.
2A2.A$11.A3.3A3.2A4.5A$12.A8.3A3.A$12.2A2.A4.3A2.2A2.A$13.3A5.3A3.3A$
14.A5.A.2A4.A$20.3A$21.A!
#C [[ THUMBNAIL THUMBSIZE 2 STEP 10 T 1300 PAUSE 2 LOOP 1301 ]]
Here's a LifeSuper version, where it's a little easier to see that all of the cells in the universe get exercised. LifeViewer won't like it very much until the {Rule}Super optimization gets completed, though -- too many states:

Code: Select all

x = 55, y = 51, rule = LifeSuper
55T$55T$55T$55T$29TA25T$28T3A24T$22TA4T2ATA5TA18T$21T3A3T3A5T3A17T$
20TA2T2A2T3A4TA2T2A16T$23TA3T3A8TA16T$19T5A4T2A3T3A3TA15T$18TA2T2A2TA
12T3A14T$17T3A3T2A11TA4TA13T$16TA5TA6T3A2T2A4T3A12T$15T3A6TA4TA4TATA
6TA11T$14TA8TA6TA11T3A10T$13T3A29TA9T$12TA31T3A8T$11T3A7T2AT4AT3ATA
13TA7T$10TA10TA2T2ATAT5A12T3A6T$9T3A8T3A3TAT2AT4A10TA3TA5T$6T2A4TA9T
4A3TA5TA11TATA5T$5TA3T2A10TATAT3A3TA2TA10TA4TA4T$4TA3TA3TA8TA3TAT3AT
2A2TA10T4A5T$4TA5T3A7T2ATAT6A10TA7TA5T$4T3A3T4A8TA3TA4TAT2A6T4A3T3A4T
$5TA7TA12T2A2T2A3TA6T3A5TA4T$5T4A11T2ATATATA3T2ATA7TA3TA3TA4T$4TA4TA
5TA4TATA3TA3T2AT2A9T2A3TA5T$5TATA6TA6TA2TA8T3A6TA4T2A6T$5TA3TA4TA5T6A
3TATATA9T3A9T$6T3A5TA2TA2T2AT2A2T2AT3A2TA8TA10T$7TA6T3A5TATATAT2A2T2A
7T3A11T$8T3A9TA2T2A5TA2T3A6TA12T$9TA29T3A13T$10T3A18TA8TA14T$11TA6TAT
A9TA6T3A15T$12T3A4T2A11TA5TA16T$13TA4TA11T2A3T3A17T$14T3A12TA2T2A2TA
18T$15TA3T3A3T2A4T5A19T$16TA8T3A3TA23T$16T2A2TA4T3A2T2A2TA20T$17T3A5T
3A3T3A21T$18TA5TAT2A4TA22T$24T3A28T$25TA29T$55T$55T$55T$55T!
#C [[ THUMBNAIL THUMBSIZE 2 STEP 10 T 1300 PAUSE 2 LOOP 1301 ]] 

Jormungant
Posts: 605
Joined: May 27th, 2016, 1:01 am

Re: Pure nonfillers

Post by Jormungant » August 5th, 2020, 5:40 pm

not quite there, but here is my best failed attempt ^^'

Code: Select all

x = 39, y = 34, rule = LifeHistory
$22.A$21.3A$15.A4.2A.A5.A$14.3A3.3A5.3A$13.A2.2A2.3A4.A2.2A$16.A3.3A
8.A$12.5A4.2A3.3A3.A$11.A2.2A2.A12.3A$10.3A3.2A11.A4.A$9.A5.A6.A4.2A
4.3A$8.3A6.A5.A3.A.A2.A3.A$5.2A4.A4.A6.A10.A.A$4.A3.2A4.A7.2A8.A4.A$
3.A3.A3.A2.3A16.4A$3.A5.3A7.A.A6.A7.A$3.3A3.4A7.A7.4A3.3A$4.A7.A6.A.A
7.3A5.A$4.4A16.3A2.A3.A3.A$3.A4.A8.2A7.A4.2A3.A$4.A.A10.A6.A4.A4.2A$
4.A3.A2.A.A3.A5.A6.3A$5.3A4.2A4.A6.A5.A$6.A4.A11.2A3.3A$7.3A12.A2.2A
2.A$8.A3.3A3.2A4.5A$9.A8.3A3.A$9.2A2.A4.3A2.2A2.A$10.3A5.3A3.3A$11.A
5.A.2A4.A$17.3A$18.A!
so... grand father search anyone?

(note that there is a few equivalent variants too)

Code: Select all

x = 36, y = 31, rule = LifeHistory
19.A$18.3A$12.A4.2A.A5.A$11.3A3.3A5.3A$10.A2.2A2.3A4.A2.2A$13.A3.3A8.
A$9.5A4.2A3.3A3.A$8.A2.2A2.A12.3A$7.3A3.2A11.A4.A$6.A5.A4.2DA4.2A4.3A
$5.3A6.A2.D2.A3.A.A2.A3.A$2.2A4.A4.A2.2C2.A10.A.A$.A3.2A4.A7.2A2.3DC
2.A4.A$A3.A3.A2.3A16.4A$A5.3A7.A.A3.D2.A7.A$3A3.4A7.A7.4A3.3A$.A7.A2.
C3.A.A7.3A5.A$.4A16.3A2.A3.A3.A$A4.A2.2DCD2.2A7.A4.2A3.A$.A.A10.A2.2D
2.A4.A4.2A$.A3.A2.A.A3.A2.D2.A6.3A$2.3A4.2A4.ACD4.A5.A$3.A4.A11.2A3.
3A$4.3A12.A2.2A2.A$5.A3.3A3.2A4.5A$6.A8.3A3.A$6.2A2.A4.3A2.2A2.A$7.3A
5.3A3.3A$8.A5.A.2A4.A$14.3A$15.A!
Last edited by Jormungant on August 6th, 2020, 3:08 am, edited 1 time in total.

GUYTU6J
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Re: Pure nonfillers

Post by GUYTU6J » August 5th, 2020, 10:15 pm

A similar discussion can be found in the thread "Totally periodic pattern" in January 2015. There calcyman suggested using waves of spaceships —

Code: Select all

x = 99, y = 132, rule = LifeHistory
37.A$38.A$36.3A3$38.A$39.A$37.3A3$39.A$40.A$38.3A$50.3A$50.A2.A$40.A
9.A$41.A8.A$39.3A8.A$50.A$51.A4.3A$41.A14.A2.A$42.A13.A$40.3A13.A$56.
A$56.A$42.A14.A4.3A$43.A18.A2.A$41.3A18.A$62.A$62.A$43.A18.A$44.A18.A
4.3A$42.3A23.A2.A$68.A$68.A$44.A23.A$45.A22.A$43.3A23.A4.3A$59.6A9.A
2.A$37.3A18.A5.A9.A6.3A$36.A2.A5.A18.A9.A3.A.A2.A$30.3A6.A6.A16.A10.A
3.A.A2.A$30.A2.A.A3.A4.3A27.A10.A$30.A2.A.A3.A35.A4.2A2.2A$28.A10.A
12.A12.6A16.A$28.2A2.2A4.A14.A10.A5.A9.2A.A.3A$26.A26.A16.A9.A8.A$26.
3A.A.2A19.A15.A7.A3.A5.3A$24.A8.A19.A24.A12.A$24.3A5.A17.A2.A24.A6.A
3.3A$22.A28.3A5.6A13.A5.A8.A$22.3A33.A5.A13.A5.A6.3A$20.A43.A10.A2.A
5.A10.A$20.3A40.A7.A4.3A5.A8.3A$18.A53.A11.A2.A8.A$18.3A51.A11.3A6.A.
3A$16.A36.6A13.A24.A$16.3A33.A5.A13.A20.5A$14.A43.A10.A2.A15.A.A$14.
3A40.A7.A4.3A15.A2.A3.A.A$12.A25.3A25.A24.2A4.2A$12.3A23.A2.A24.A22.A
6.2A$10.A27.A8.6A13.A23.A.5A$10.3A25.A3.A3.A5.A13.A26.A.A$8.A29.A3.A
9.A10.A2.A23.3A$8.3A27.A12.A5.A.A4.3A25.A$6.A25.3A4.A.A5.A12.A27.3A$
6.3A23.A2.A10.A9.A3.A29.A$3.A.A26.A13.A5.A3.A3.A25.3A$2.5A.A23.A13.6A
8.A27.A$.2A6.A22.A24.A2.A23.3A$2A4.2A24.A25.3A25.A$.A.A3.A2.A15.3A4.A
7.A40.3A$8.A.A15.A2.A10.A43.A$.5A20.A13.A5.A33.3A$.A24.A13.6A36.A$.3A
.A6.3A11.A51.3A$2.A8.A2.A11.A53.A$3.3A8.A5.3A4.A7.A40.3A$3.A10.A5.A2.
A10.A43.A$5.3A6.A5.A13.A5.A33.3A$5.A8.A5.A13.6A5.3A28.A$7.3A3.A6.A24.
A2.A17.A5.3A$7.A12.A24.A19.A8.A$9.3A5.A3.A7.A15.A19.2A.A.3A$9.A8.A9.A
16.A26.A$11.3A.A.2A9.A5.A10.A14.A4.2A2.2A$11.A16.6A12.A12.A10.A$13.2A
2.2A4.A35.A3.A.A2.A$13.A10.A27.3A4.A3.A.A2.A$15.A2.A.A3.A10.A16.A6.A
6.3A$15.A2.A.A3.A9.A18.A5.A2.A$15.3A6.A9.A5.A18.3A$21.A2.A9.6A$22.3A
4.A23.3A$30.A22.A$30.A23.A$30.A$30.A$27.A2.A23.3A$28.3A4.A18.A$36.A
18.A$36.A$36.A$36.A18.3A$33.A2.A18.A$34.3A4.A14.A$42.A$42.A$42.A13.3A
$42.A13.A$39.A2.A14.A$40.3A4.A$48.A$48.A8.3A$48.A8.A$48.A9.A$45.A2.A$
46.3A$58.3A$58.A$59.A3$59.3A$59.A$60.A3$60.3A$60.A$61.A!
Can it be optimized?

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Kazyan
Posts: 1247
Joined: February 6th, 2014, 11:02 pm

Re: Pure nonfillers

Post by Kazyan » August 6th, 2020, 12:17 am

Idea for a different mechanism:

Code: Select all

x = 43, y = 56, rule = B3/S23
35bobo$35bo2bo$12bo25b2o$9b4o27bo$9b2o18b2o7b4o$7bo19bo4bo4bo4bo$7b4o
15bo6bo5bo2bo$6bo19bo6bo5bo2bo$5b3o2bo4b2o4b2o3b3o2bobo7bo$6b3o5b2o6b
2o3b2o6bob4o$7bo6bobo3bobo9bo2bo3bo$8b3obobobo3bobo15bo$8bo2b2o21b5o$
9b2o3bo11b6o$10b4o4b4o3bo5bo2b5o$17b6o8bo6bo$10b4o2b2ob4o2bo4bo4bo3bo$
9b2o3bo2b2o8b2o6bob4o$8bo2b2o20bo7bo$8b3obobo18bo5bo2bo$7bo6bo15bob2o
5bo2bo$6b3o5b2o14bo6bo4bo$5b3o2bo4b3o20b4o$6bo10bo22bo$7b4o27b2o$7bo
27bo2bo$9b2o24bobo$9b4o17bo$12bo17b4o$5bobo24b2o$4bo2bo27bo$3b2o27b4o$
2bo22bo10bo$b4o20b3o4bo2b3o$o4bo6bo14b2o5b3o$o2bo5b2obo15bo6bo$o2bo5bo
18bobob3o$bo7bo20b2o2bo$2b4obo6b2o8b2o2bo3b2o$3bo3bo4bo4bo2b4ob2o2b4o$
4bo6bo8b6o$4b5o2bo5bo3b4o4b4o$11b6o11bo3b2o$4b5o21b2o2bo$4bo15bobo3bob
obob3o$3bo3bo2bo9bobo3bobo6bo$2b4obo6b2o3b2o6b2o5b3o$bo7bobo2b3o3b2o4b
2o4bo2b3o$o2bo5bo6bo19bo$o2bo5bo6bo15b4o$o4bo4bo4bo19bo$b4o7b2o18b2o$
2bo27b4o$3b2o25bo$4bo2bo$5bobo!
This could be compressed with better c/2 p2 ships, particularly if one can use both sides of the HWSS to form a double-rake.
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

Jormungant
Posts: 605
Joined: May 27th, 2016, 1:01 am

Re: Pure nonfillers

Post by Jormungant » August 6th, 2020, 3:25 am

ARG! so close!!

Code: Select all

x = 43, y = 40, rule = LifeHistory
3$22.A$21.3A$15.A4.2A.A5.A$14.3A3.3A5.3A$13.A2.2A2.3A4.A2.2A$16.A3.3A
8.A$12.5A4.2A3.3A3.A$11.A2.2A2.A12.3A$10.3A3.2A11.A4.A$9.A5.A6.2A3.2A
4.3A$8.3A6.A4.2A3.A.A2.A3.A$5.2A4.A4.A17.A.A$4.A3.2A4.A17.A4.A$3.A3.A
3.A2.2A.A15.4A$3.A5.3A16.A7.A$3.3A3.4A3.A2.3A2.A3.4A3.3A$4.A7.A16.3A
5.A$4.4A15.A.2A2.A3.A3.A$3.A4.A17.A4.2A3.A$4.A.A17.A4.A4.2A$4.A3.A2.A
.A3.2A4.A6.3A$5.3A4.2A3.2A6.A5.A$6.A4.A11.2A3.3A$7.3A12.A2.2A2.A$8.A
3.3A3.2A4.5A$9.A8.3A3.A$9.2A2.A4.3A2.2A2.A$10.3A5.3A3.3A$11.A5.A.2A4.
A$17.3A$18.A!
That one should be solved with father/grandfather search, lol.

User avatar
calcyman
Moderator
Posts: 2932
Joined: June 1st, 2009, 4:32 pm

Re: Pure nonfillers

Post by calcyman » August 6th, 2020, 5:55 am

Jormungant wrote:
August 6th, 2020, 3:25 am
ARG! so close!!

Code: Select all

x = 43, y = 40, rule = LifeHistory
3$22.A$21.3A$15.A4.2A.A5.A$14.3A3.3A5.3A$13.A2.2A2.3A4.A2.2A$16.A3.3A
8.A$12.5A4.2A3.3A3.A$11.A2.2A2.A12.3A$10.3A3.2A11.A4.A$9.A5.A6.2A3.2A
4.3A$8.3A6.A4.2A3.A.A2.A3.A$5.2A4.A4.A17.A.A$4.A3.2A4.A17.A4.A$3.A3.A
3.A2.2A.A15.4A$3.A5.3A16.A7.A$3.3A3.4A3.A2.3A2.A3.4A3.3A$4.A7.A16.3A
5.A$4.4A15.A.2A2.A3.A3.A$3.A4.A17.A4.2A3.A$4.A.A17.A4.A4.2A$4.A3.A2.A
.A3.2A4.A6.3A$5.3A4.2A3.2A6.A5.A$6.A4.A11.2A3.3A$7.3A12.A2.2A2.A$8.A
3.3A3.2A4.5A$9.A8.3A3.A$9.2A2.A4.3A2.2A2.A$10.3A5.3A3.3A$11.A5.A.2A4.
A$17.3A$18.A!
That one should be solved with father/grandfather search, lol.
35x29:

Code: Select all

x = 35, y = 29, rule = LifeHistory
.2A12.A2.3A.2A.A7.A$4.A.A2.A2.2A4.A2.4A2.A.A$8.A2.A4.A5.A.2A5.A2.A$A.
9A3.A2.A.4A.A2.2A4.A$.3A.3A.A3.5A2.3A.A3.A3.3A$2.A7.A2.A2.A4.A6.A.5A$
.A2.2A4.2A3.A.2A.2A2.2A6.2A$7.3A.A2.2A.3A.2A4.A.A4.A$A2.A.2A.A2.2A.A.
A.A2.2A.2A5.2A$8.A.2A2.4A4.A.A.3A2.A$A2.A.A4.2A.A3.3A.2A.A2.3A.3A$2.
3A2.A.A.A2.A.A.12A2.A.A$.A.A2.A4.A8.4A2.2A3.A.A$3A6.A.A2.2A4.2A.3A.2A
.A$.A4.2A.A8.A.2A.A.A2.6A$6.A3.4A.2A.2A3.2A5.A2.2A$A.A.2A.A.A.8A.2A.
2A.2A2.2A2.A$.A.A.7A.2A2.A7.A5.3A$.3A3.A2.A2.A4.A.3A2.2A.2A2.A$3.A.4A
.3A.A9.2A8.A$2.3A.A2.A2.3A.A4.4A2.A2.A$7.A5.A4.2A3.A.A.A.A2.A$9.A3.3A
5.A2.A3.3A.A$.A.4A4.3A3.A.A.A2.2A3.6A$2.3A3.A.A.A3.A4.A2.A2.A3.2A$.5A
6.A2.2A3.2A.2A$A.A.2A.4A7.A3.2A3.A$2.4A2.A5.A2.A7.A2.A.A.2A$.A.2A.A7.
3A4.A!
What do you do with ill crystallographers? Take them to the mono-clinic!

Hunting
Posts: 4395
Joined: September 11th, 2017, 2:54 am

Re: Pure nonfillers

Post by Hunting » August 7th, 2020, 6:17 am

calcyman wrote:
August 6th, 2020, 5:55 am
Jormungant wrote:
August 6th, 2020, 3:25 am
ARG! so close!!

Code: Select all

x = 43, y = 40, rule = LifeHistory
3$22.A$21.3A$15.A4.2A.A5.A$14.3A3.3A5.3A$13.A2.2A2.3A4.A2.2A$16.A3.3A
8.A$12.5A4.2A3.3A3.A$11.A2.2A2.A12.3A$10.3A3.2A11.A4.A$9.A5.A6.2A3.2A
4.3A$8.3A6.A4.2A3.A.A2.A3.A$5.2A4.A4.A17.A.A$4.A3.2A4.A17.A4.A$3.A3.A
3.A2.2A.A15.4A$3.A5.3A16.A7.A$3.3A3.4A3.A2.3A2.A3.4A3.3A$4.A7.A16.3A
5.A$4.4A15.A.2A2.A3.A3.A$3.A4.A17.A4.2A3.A$4.A.A17.A4.A4.2A$4.A3.A2.A
.A3.2A4.A6.3A$5.3A4.2A3.2A6.A5.A$6.A4.A11.2A3.3A$7.3A12.A2.2A2.A$8.A
3.3A3.2A4.5A$9.A8.3A3.A$9.2A2.A4.3A2.2A2.A$10.3A5.3A3.3A$11.A5.A.2A4.
A$17.3A$18.A!
That one should be solved with father/grandfather search, lol.
35x29:

Code: Select all

x = 35, y = 29, rule = LifeHistory
.2A12.A2.3A.2A.A7.A$4.A.A2.A2.2A4.A2.4A2.A.A$8.A2.A4.A5.A.2A5.A2.A$A.
9A3.A2.A.4A.A2.2A4.A$.3A.3A.A3.5A2.3A.A3.A3.3A$2.A7.A2.A2.A4.A6.A.5A$
.A2.2A4.2A3.A.2A.2A2.2A6.2A$7.3A.A2.2A.3A.2A4.A.A4.A$A2.A.2A.A2.2A.A.
A.A2.2A.2A5.2A$8.A.2A2.4A4.A.A.3A2.A$A2.A.A4.2A.A3.3A.2A.A2.3A.3A$2.
3A2.A.A.A2.A.A.12A2.A.A$.A.A2.A4.A8.4A2.2A3.A.A$3A6.A.A2.2A4.2A.3A.2A
.A$.A4.2A.A8.A.2A.A.A2.6A$6.A3.4A.2A.2A3.2A5.A2.2A$A.A.2A.A.A.8A.2A.
2A.2A2.2A2.A$.A.A.7A.2A2.A7.A5.3A$.3A3.A2.A2.A4.A.3A2.2A.2A2.A$3.A.4A
.3A.A9.2A8.A$2.3A.A2.A2.3A.A4.4A2.A2.A$7.A5.A4.2A3.A.A.A.A2.A$9.A3.3A
5.A2.A3.3A.A$.A.4A4.3A3.A.A.A2.2A3.6A$2.3A3.A.A.A3.A4.A2.A2.A3.2A$.5A
6.A2.2A3.2A.2A$A.A.2A.4A7.A3.2A3.A$2.4A2.A5.A2.A7.A2.A.A.2A$.A.2A.A7.
3A4.A!
Some of the cells are actually unneccesary. It doesn't improve the bounding box however:

Code: Select all

x = 35, y = 29, rule = LifeHistory
15.A2.3A.2A.A$6.A2.A2.2A4.A2.4A2.A.A$8.A2.A4.A5.A.2A8.A$A.9A3.A2.A.4A
.A2.2A4.A$.3A.3A.A3.5A2.3A.A3.A3.3A$2.A7.A2.A2.A4.A6.A.5A$.A2.2A4.2A3.
A.2A.2A2.2A6.2A$7.3A.A2.2A.3A.2A4.A.A4.A$3.A.2A.A2.2A.A.A.A2.2A.2A5.2A
$8.A.2A2.4A4.A.A.3A2.A$A2.A.A4.2A.A3.3A.2A.A2.3A.3A$2.3A2.A.A.A2.A.A.
12A2.A.A$.A.A2.A4.A8.4A2.2A3.A.A$3A6.A.A2.2A4.2A.3A.2A.A$.A4.2A.A8.A.
2A.A.A2.6A$6.A3.4A.2A.2A3.2A5.A2.2A$A.A.2A.A.A.8A.2A.2A.2A2.2A2.A$.A.
A.7A.2A2.A7.A5.3A$.3A3.A2.A2.A4.A.3A2.2A.2A2.A$3.A.4A.3A.A9.2A8.A$2.3A
.A2.A2.3A.A4.4A2.A2.A$7.A5.A4.2A3.A.A.A.A2.A$9.A3.3A5.A2.A3.3A.A$.A.4A
4.3A3.A.A.A2.2A3.6A$2.3A3.A.A.A3.A4.A2.A2.A3.2A$.5A6.A2.2A3.2A.2A$A.A
.2A.4A7.A3.2A$2.4A2.A5.A2.A7.A$.A.2A.A7.3A4.A!

User avatar
praosylen
Posts: 2443
Joined: September 13th, 2014, 5:36 pm
Location: Pembina University, Home of the Gliders
Contact:

Re: Pure nonfillers

Post by praosylen » August 7th, 2020, 12:17 pm

Slight manual population improvement, no bounding box reduction:

Code: Select all

x = 39, y = 31, rule = LifeHistory
$18.3A.2A.A$9.A2.2A4.A2.4A2.A.A$7.2A2.A4.A5.A.2A$8.3A3.A2.A.4A.A2.2A$
7.A.A3.5A2.3A.A3.A3.A$10.A2.A2.A4.A6.A.5A$4.2A4.2A3.A.2A.2A2.2A6.2A$7.
3A.A2.2A.3A.2A4.A.A4.A$3.A.2A.A2.2A.A.A.A2.2A.2A5.2A$8.A.2A2.4A4.A.A.
3A2.A$A2.A.A4.2A.A3.3A.2A.A2.3A.3A$2.3A2.A.A.A2.A.A.3A.5A.2A2.A.A$.A.
A2.A4.A8.A.2A2.2A3.A.A$3A6.A.A2.2A4.2A.3A.2A.A$.A4.2A.A8.A.2A.A.A2.6A
$6.A3.4A.2A.2A3.2A5.A2.2A$A.A.2A.A.A.8A.2A.2A.2A2.2A2.A$.A.A.6A.A4.A7.
A5.3A$.3A3.A2.A2.A4.A.3A2.2A.2A2.A$3.A.4A.3A2.A8.2A8.A$2.3A.A2.A2.3A.
A4.4A2.A2.A$7.A5.A4.2A3.A.A.A.A$9.A3.3A5.A2.A3.3A$.A.4A4.3A3.A.A.A2.2A
3.2A$2.3A3.A.A.A3.A4.A2.A2.A$4.2A6.A2.2A3.2A.2A$4.2A.4A7.A3.2A$5.A2.A
5.A2.A7.A$4.A.A7.3A4.A!
former username: A for Awesome
praosylen#5847 (Discord)

The only decision I made was made
of flowers, to jump universes to one of springtime in
a land of former winter, where no invisible walls stood,
or could stand for more than a few hours at most...

Rocknlol
Posts: 125
Joined: April 15th, 2012, 9:06 am

Re: Pure nonfillers

Post by Rocknlol » September 19th, 2021, 11:53 pm

Population improvement to 215 and bounding box improvement to 33x29, respectively:

Code: Select all

x = 35, y = 29, rule = LifeHistory
18.3A5.A$12.A5.A2.A$10.3A5.A5.3A$13.A.A2.A8.2A$11.A.A4.A3.A2.A2.A$9.A
2.A.A3.A3.A5.A.A$6.A.A.A8.A4.2A$7.2A3.4A11.A.A.A.A$19.A4.2A4.3A$4.A.
3A4.A5.2A3.A$3.A2.A6.A.A9.A.2A.4A$2.2A.2A.A2.3A18.2A$.2A.A2.A4.A.A15.
2A2.A$2A4.2A6.A2.A2.A3.2A3.A$.3A4.A3.A4.A4.A3.A4.3A$5.A3.2A3.A2.A2.A
6.2A4.2A$A2.2A15.A.A4.A2.A.2A$.2A18.3A2.A.2A.2A$.4A.2A.A9.A.A6.A2.A$
10.A3.2A5.A4.3A.A$2.3A4.2A4.A$.A.A.A.A11.4A3.2A$9.2A4.A8.A.A.A$4.A.A
5.A3.A3.A.A2.A$6.A2.A2.A3.A4.A.A$6.2A8.A2.A.A$8.3A5.A5.3A$13.A2.A5.A$
8.A5.3A!

Code: Select all

x = 33, y = 29, rule = LifeHistory
18.A4.2A$11.A2.A2.3A4.A$10.A3.A4.2A2.2A.A$9.A.A.3A2.3A6.A$9.A3.2A3.A
2.4A.A.A$8.2A4.A2.A.A2.2A$10.A.2A3.A6.2A2.A.A$6.3A11.A$5.A4.A.A3.A4.A
2.2A.A.2A$5.A.A3.A2.A2.A.5A4.2A2.A$2.2A.A2.2A9.3A2.4A.A.A$.A5.A3.A.2A
2.2A5.A.A5.A$A3.A.2A3.A.A.2A.A4.3A2.4A$A9.A2.A.A4.A.A.A6.A$3A2.A7.2A.
A.2A7.A2.3A$.A6.A.A.A4.A.A2.A9.A$.4A2.3A4.A.2A.A.A3.2A.A3.A$A5.A.A5.
2A2.2A.A3.A5.A$.A.A.4A2.3A9.2A2.A.2A$A2.2A4.5A.A2.A2.A3.A.A$2.2A.A.2A
2.A4.A3.A.A4.A$12.A11.3A$2.A.A2.2A6.A3.2A.A$9.2A2.A.A2.A4.2A$4.A.A.4A
2.A3.2A3.A$5.A6.3A2.3A.A.A$6.A.2A2.2A4.A3.A$8.A4.3A2.A2.A$8.2A4.A!
EDIT: Further improvements: 209 for population and 33x27 for bounding box:

Code: Select all

x = 35, y = 29, rule = LifeHistory
18.3A5.A$18.A2.A$11.3A4.A5.3A$10.A2.A4.A8.2A$10.A2.A4.A3.A2.A2.A$9.3A
.A.A2.A3.A5.A.A$8.A5.A4.A4.2A$8.3A2.2A12.A.A.A$6.A5.A6.A4.2A4.2A$6.3A
4.A.A3.2A3.A7.A$3.A.A9.A9.A.2A.4A$2.6A2.A.A20.A$.2A6.A2.A17.3A.A$2A4.
2A5.A2.A2.A.A2.A.A4.A$A2.A3.A2.A6.A6.A2.A3.A2.A$3.A4.A.A2.A.A2.A2.A5.
2A4.2A$A.3A17.A2.A6.2A$.A20.A.A2.6A$.4A.2A.A9.A9.A.A$2.A7.A3.2A3.A.A
4.3A$3.2A4.2A4.A6.A5.A$3.A.A.A12.2A2.3A$9.2A4.A4.A5.A$4.A.A5.A3.A2.A.
A.3A$6.A2.A2.A3.A4.A2.A$6.2A8.A4.A2.A$8.3A5.A4.3A$13.A2.A$8.A5.3A!

Code: Select all

x = 33, y = 27, rule = LifeHistory
17.3A6.A$11.A4.A2.A4.A2.A$11.3A6.A3.A4.A$5.A.A.A6.A2.A2.2A.A.A$8.2A3.
A2.A.2A.2A2.2A$6.A.A9.A4.A.A2.A.A$2.A3.A.A3.2A.A2.2A5.2A2.A$4.A.A10.
2A5.A.A.3A$3.A4.2A.3A.A.A.3A5.A$5.A2.2A7.A.A2.2A2.3A.2A$.A.A7.A2.A2.A
3.A5.2A3.A$A.5A.A2.A7.A2.A.A2.A.3A$3A.A3.2A.2A.A2.A.A3.2A.A$.A3.A.3A
2.2A2.A2.2A2.3A.A3.A$6.A.2A3.A.A2.A.2A.2A3.A.3A$.3A.A2.A.A2.A7.A2.A.
5A.A$A3.2A5.A3.A2.A2.A7.A.A$.2A.3A2.2A2.A.A7.2A2.A$5.A5.3A.A.A.3A.2A
4.A$2.3A.A.A5.2A10.A.A$3.A2.2A5.2A2.A.2A3.A.A3.A$2.A.A2.A.A4.A9.A.A$
6.2A2.2A.2A.A2.A3.2A$5.A.A.2A2.A2.A6.A.A.A$3.A4.A3.A6.3A$5.A2.A4.A2.A
4.A$6.A6.3A!

erictom333
Posts: 171
Joined: January 9th, 2019, 2:44 am

Re: Pure nonfillers

Post by erictom333 » November 13th, 2021, 8:36 pm

For a harder challenge; What about a pattern such that every cell will be ON infinitely many times? Is this possible? More formally, for any cell C and time T, there exists a time T' >= T where C is ON.

Sokwe
Moderator
Posts: 2645
Joined: July 9th, 2009, 2:44 pm

Re: Pure nonfillers

Post by Sokwe » November 13th, 2021, 9:38 pm

erictom333 wrote:
November 13th, 2021, 8:36 pm
What about a pattern such that every cell will be ON infinitely many times?
Bill Gosper's total aperiodic pattern satisfies this condition.
-Matthias Merzenich

FractalFusion
Posts: 52
Joined: March 27th, 2009, 2:07 pm

Re: Pure nonfillers

Post by FractalFusion » November 21st, 2021, 4:43 am

erictom333 wrote:
November 13th, 2021, 8:36 pm
For a harder challenge; What about a pattern such that every cell will be ON infinitely many times? Is this possible? More formally, for any cell C and time T, there exists a time T' >= T where C is ON.
Putting aside total aperiodic, certain types of MMM breeder (rake of rakes) sweep the entire plane infinitely with gliders in a periodic manner. In this sense, it answers an even stronger challenge, where each cell's proportion of ON generations must tend to a positive number. (And running an MMM breeder in LifeHistory/Super has the advantage of being much more obvious that each cell will eventually be covered.)

I was looking for a MMM breeder in the Golly pattern files, but the only one I could find there (Life -> Breeders -> rake_breeder.rle), a c/2 p60 rake of p20 forward glider rakes, unfortunately doesn't work. To get it to work, you'd need a pxxx rake of p20 backrakes, where xxx is not a multiple of 10. So I quickly threw together a p144 rake of p20 backrakes, using reactions I managed to dig up from the jslife and lifep.zip pattern collections to get this result:

Code: Select all

x = 470, y = 376, rule = LifeHistory
68bo2bo104b2o$72bo99b4ob2o$68bo3bo99b6o$69b4o100b4o$186b3o$79b2o104b5o
$48b2o26b3ob2o103b3ob2o$47b5o24b5o107b2o$50b2o25b3o122b4o$90b2o102b2o
4b7o$48bo24bo15b4o101bobo2b2ob3ob2o$48bo24bo5bo9b2ob2o99b2o2bo2b2o3b2o
$73bo5bo11b2o101bo2bo$75bo2b2o4bobo108bobo4b2o$75bo7bo2b2o86b2o20bo8bo
$75bo2b2o4bobo85bo4bo28bo$79bo11b2o85bo23bo3bo$79bo9b2ob2o78bo5bo24b4o
$64bo24b4o80b6o$65b2o23b2o116bo2bo$64b2o83b2o61bo$74bo2bo70b4o56bo3bo$
78bo69b2ob2o44bo11b4o$74bo3bo71b2o5bo39b2o$40b2o33b4o76bo3bo36bobo$38b
o4bo116bo$44bo23bo2bo42bo40bo4bo47b2o15b2o$11b3o24bo5bo10bo16bo41bobo
39b5o45bo2b2o12b2ob2o$11bo27b6o11b2o10bo3bo41b2o13b3obo71bo4bo8bo3b4o$
12bo42b3o11b4o55bo3bob2o69bo8b2o2bobo3b2o$3bo5bo7bo38b2obo68bo2bo37b4o
33b2o5bo2b2o3bo$2b3o3b3o5b3o40bo69bobo22b3o11bo3bo34b2o5b2o2bobo3b2o$
2bob2o2bob2o4bob2o45bo3b3o92bo7bo32bob4o8bo3b4o$3b3o3b3o5b3o37bo7bo2b
5o86b7o2bo2bo32bo2bob2o12b2ob2o$3b2o4b2o6b2o38bo7bob4ob2o84bo2b3ob2o
37b3o3bo14b2o$71b2o86b7o2bo2bo$52b3o109bo7bo$51b5o90bo21bo3bo40b2o$51b
3ob2o87bobo22b4o37b3ob2o$16b3o35b2o89b2o63b5o$15bo2bo183bo2bo5b3o$18bo
136b2o49bo$18bo23b2o110b4o44bo3bo$15bobo20b4ob2o109b2ob2o44b4o$38b6o
112b2o$39b4o$137bo11b2o$135bobo10b4o$bo134b2o10b2ob2o$3o147b2o$ob2o
134bobo$b3o133bo2bo$b2o143b2o$136bo8b8o$137b2o6bo6bo18b2o$89b2o61bo16b
2ob2o$89b2o42bo12bo4bo17b4o$131bo3bo12b2o20b2o$136bo40b5o$131bo4bo39bo
4bo$132b5o18bo25bo$151b2o23bo3bo$150bo2bobobo20bo10bo2bo$151b2o3bo36bo
$152bo23b2o11bo3bo$159bobo16bo11b4o$160bo12bo7b2o2b3o45b2o$172bo8b2o2b
3o43bo4bo$173bo7b2o2b3o49bo$167bo10bo11b4o37bo5bo$168bo7b2o11bo3bo38b
6o$166b3o24bo$189bo2bo$245b5o$244bo4bo$177b2o70bo$175b2ob2o64bo3bo$
175b4o67bo14b6o$158bo17b2o81b2o5bo$143b2o14bo97b2obo5bo$139b4ob2o11b3o
11b2o88bo3bo$118bo20b6o24b2ob2o89bo$117b2o21b4o25b4o90b2o$117bobo50b2o
61b4o25b4o$162b3o5bo61b6o24b2ob2o$161bob2o3bo3bo59b4ob2o25b2o$161bo5bo
5bo62b2o$161b3o3bo5bo95b2o$153bo8bo3bob6o18bobo58b3o12b4o$151bo3bo8bo
27b2o14b4o43bo12b2ob2o$156bo36bo13bo3bo42bo15b2o$151bo4bo54bo$152b5o
50bo2bo5b3o47bo$215b5o45bobo14bo2bo$215b3ob2o46bo18bo$139b6o73b2o45bo
4bo11bo3bo$138bo5bo116bo8bo12b4o$144bo116b3obo8b2o2b3o$138bo4bo65b3o3b
o14b2o29bo2b2o8b2o2b3o$140b2o67bo2bob2o12b2ob2o31b2o8b2o2b3o$210bob4o
8bo3b4o28b2o8bo12b4o$212b2o5b2o2bobo3b2o26bob3o8bo11bo3bo$75bo5bo129b
2o5bo2b2o3bo29b2ob2o25bo$74b3o3b3o127bo8b2o2bobo3b2o24b2o4bo9bo10bo2bo
$74bob2o2bob2o126bo4bo8bo3b4o24b2o3b2o6bo3bo$75b3o3b3o127bo2b2o12b2ob
2o24b5o12bo$75b2o4b2o130b2o15b2o26b3o8bo4bo$259bo10b5o$201bobo59b2o$
202b2o58b4o$202bo11b4o44b2ob2o$88b3o122bo3bo46b2o$87bo2bo126bo$90bo
122bo2bo$90bo$87bobo118b4o$207bo3bo$211bo$210bo$207b2o$73bo128b3o$72b
3o126bo3b2o3b2o16bo2bo$72bob2o126bo2bob3ob2o19bo$73b3o85b2o40b9o16bo3b
o$73b2o86b2o44b4o18b4o$192b3o$191b5o43b2o$191b3ob2o39b3ob2o$194b2o40b
5o$237b3o$250b2o$231b2o16b4o$231bobo3bo11b2ob2o$233bob2obo3bo2bo5b2o$
236b2o4bo3bo55b2o$231bo4bo4bo4b2o50b4ob2o$232bo3b2o4bo3bo51b6o$233b4ob
o3bo2bo5b2o46b4o$237bo11b2ob2o58b3o$249b4o58b5o$223bo26b2o59b3ob2o$
224b2o88b2o$223b2o9bo2bo90b4o$238bo85b9o$234bo3bo84bo2bob3ob2o$200b2o
33b4o83bo3b2o3b2o$198bo4bo119b3o$204bo23bo2bo96b2o$198bo5bo27bo67b2o
29bo$199b6o9bo13bo3bo65bo4bo28bo$215b2o12b4o71bo23bo3bo$214b3o2bo78bo
5bo24b4o$219bo79b6o14bo$225bo3b3o87b2o13bo2bo$196b2ob2obo14bo7bo2b5o
42b2o41bobo17bo$195b2ob3obo14bo7bob4ob2o21bo18b4o56bo3bo$197b3o31b2o
22bobo16b2ob2o56b4o$212b3o40b2o19b2o5bo$198b3o10b5o65bo3bo$211b3ob2o
69bo$199b2o13b2o65bo4bo39b2o23b2o$282b5o38b4o11bo8b2ob2o$273b3o47b2ob
4o8bobo4bo3b4o$202b2o68bo3bo46b3o3bo7bo2bo5bo3b2o$198b4ob2o67b2ob2o18b
4o24b2o12bo6bo2bo$198b6o80bo9bo3bo26bo11bo2bo5bo3b2o$199b4o82b2o11bo
21bo4bo12bobo4bo3b4o$275bo6b3o5b2o2bo2bo20b3o2bo16bo8b2ob2o$274bobob2o
b3o6b3o24bo4b2o3bo23b2o$273b3obo2b5o5b2o2bo2bo19bo5bo4bo$273b3obo3bo3b
2o11bo18b3o3bobob2o$274b2o8bo9bo3bo40b2o$276b2ob2o14b4o21bobo13b3ob2o$
278bo42b2o13b5o$147bo5bo174bo2bo5b3o$146b3o3b3o113bo12b2o49bo$146bob2o
2bob2o110bobo11b4o44bo3bo$147b3o3b3o111b2o11b2ob2o44b4o$147b2o4b2o127b
2o2$275b2o$274b4o$274b2ob2o$276b2o$267bo$266bobo$264b3ob2o2b2o$264b2ob
12o$267bo2bo7bo18b2o$225b2o38b2o3b2o6bo16b2ob2o$225b2o32bo17bo17b4o$
257bo3bo12b2o20b2o$145bo116bo40b5o$144b3o110bo4bo39bo4bo$144bob2o110b
5o44bo$145b3o148bo5bo3bo$145b2o148bobo6bo10bo2bo$294b2ob2o2bo17bo$301b
o5bo7bo3bo$305b3o3bo4b4o$297b2o6b2o5b2o48b2o$297b2o5bo6b3o44b4ob2o$
296bo2b3o3b2o5b2o44b6o$296b2o3bo3b3o3bo4b4o39b4o$297b3o2bo4bo7bo3bo52b
3o$298b2obo17bo51b5o$300bo14bo2bo52b3ob2o$289bo84b2o$290bo97b4o$288b3o
12b2o75b2o4b7o$301b2ob2o74bobo2b2ob3ob2o$301b4o74b2o2bo2b2o3b2o$302b2o
76bo2bo$269b2o110bobo4b2o$265b4ob2o25b2o61b2o20bo8bo$265b6o24b2ob2o58b
o4bo28bo$266b4o25b4o65bo23bo3bo$296b2o60bo5bo24b4o$296bo27bo34b6o$259b
2o29b2o2bo3bo25bobo67bo2bo$258bo31b2obo5bo24b2o9b2o61bo$258b3o29b4o5bo
34b4o44bo11bo3bo$258b2o19bo14b6o34b2ob2o43b2o11b4o$277bo3bo54b2o5bo37b
obo$282bo58bo3bo$277bo4bo63bo45b2o$278b5o31bo26bo4bo43bo3bo16b2o$313bo
b2o25b5o42bo2bob2o4bo8b2ob2o$312bo4b2o70bo4b2o2bobo4bo3b4o$265b6o118bo
2b3o2bo2bo5bo3b2o$264bo5bo42bobo39b4o30bo3bo3bo6bo2bo$270bo43bo23b3o3b
o9bo3bo31b2o5bo2bo5bo3b2o$264bo4bo75b2o11bo39bobo4bo3b4o$266b2o74b3o5b
2o2bo2bo42bo8b2ob2o$341b3o6b3o34b2ob2o19b2o$342b3o5b2o2bo2bo29b2ob2o$
345b2o11bo30bo$344bo9bo3bo40b2o$331bo23b4o37b3ob2o$329bobo64b5o$330b2o
56bo2bo5b3o$341b2o49bo$340b4o44bo3bo$340b2ob2o44b4o$342b2o2$219bo115b
2o$218b3o101bo11b4o$218bob2o98bobo11b2ob2o$219b3o99b2o13b2o$219b2o103b
obo$323bo2bo$332b2o$322bo8b8o$323b2o6bo6bo18b2o$291b2o45bo16b2ob2o$
291b2o26bo12bo4bo17b4o$317bo3bo12b2o20b2o$322bo40b5o$317bo4bo39bo4bo$
318b5o12b2ob2o27bo$335b2o3bo21bo3bo$334bo5bo23bo10bo2bo$334bobobo40bo$
217bo118bo23b3o4bo7bo3bo$216b3o146b3o3bo4b4o$216bob2o145b2o5b2o$217b3o
144bo6b3o$217b2o146b2o5b2o$365b3o3bo4b4o$352bo14bo7bo3bo$353bo25bo$
351b3o21bo2bo3$363b2o$361b2ob2o52b2o$361b4o49b4ob2o$362b2o50b6o$329b2o
12bo71b4o$325b4ob2o12bo12b2o69b3o$325b6o11b3o10b2ob2o67b5o$326b4o25b4o
68b3ob2o$356b2o72b2o$348b3o5bo87b4o$347bob2o3bo3bo84b6o$328b3o16bo5bo
5bo74bo7bob3ob2o$328bobo16b3o3bo5bo41bo32b2o6b2o3b2o$328b3o8bo8bo3bob
6o41bobo30b2o$337bo3bo8bo50b2o32b3o6b2o$342bo73b2o18b2o9bo$337bo4bo71b
o4bo28bo$338b5o77bo23bo3bo$414bo5bo24b4o$415b6o$325b6o105bo13bo2bo$
324bo5bo60b2o43b2o16bo$330bo59b4o41bobo12bo3bo$324bo4bo60b2ob2o56b4o$
326b2o64b2o5bo$397bo3bo46bo$402bo46bo$397bo4bo64b2o$398b5o62b2ob2o$
443bo2bo14bo3b4o$392bo49b2obobo8b2o2bobo3b2o$391b3o2b2o13b4o28bo4bo6bo
2b2o3bo$391bo2bo3bo11bo3bo27b2o2b2o8b2o2bobo3b2o$397bo8bo7bo26bobo17bo
3b4o$401b7o2bo2bo24b2o25b2ob2o$393b3o4bo2b3ob2o28bobobo25b2o$392bo8b7o
2bo2bo23bo2bo2b2o$392b2o2b2o8bo7bo22bo3bo2bo$395bobo12bo3bo23bo5bo10b
2o$395b3o13b4o24bo3bo8b3ob2o$440b3o9b5o$385bo58bo2bo5b3o$383bobo11b2o
49bo$384b2o10b4o44bo3bo$396b2ob2o44b4o$398b2o2$391b2o$293bo96b4o$293bo
bo94b2ob2o$293b2o97b2o$375b2o2$388b2o$385bob8o$385bo8bo18b2o$289b2o70b
2o24bo6bo16b2ob2o$289b2o70b2o12bo17bo17b4o$373bo3bo12b2o20b2o$378bo40b
5o$373bo4bo39bo4bo$297bo76b5o44bo$296b2o120bo3bo$296bobo121bo10bo2bo$
413b2o20bo$413bob2ob2o11bo3bo$414bob2o2bo11b4o$423b2o2b3o$417bo5b2o2b
3o$414b3o6b2o2b3o$415b3o2bo11b4o$416b4o11bo3bo$435bo$406bo24bo2bo$407b
o$405b3o$419b2o$417b2ob2o$417b4o$418b2o$385b2o$381b4ob2o25b2o$381b6o
10bo13b2ob2o$382b4o12bo12b4o$396b3o4b2o7b2o$403b2o7bo$401bo8bo3bo$399b
3o7bo5bo$401bo7bo5bo$395bo14b6o$393bo3bo$398bo$393bo4bo$394b5o3$381b6o
$380bo5bo$386bo$380bo4bo$382b2o!
For this breeder, each cell is activated an infinite number of times and eventually becomes period 2880, and each cell's proportion of ON generations tends to 1/288.

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Scorbie
Posts: 1692
Joined: December 7th, 2013, 1:05 am

Re: Pure nonfillers

Post by Scorbie » November 22nd, 2021, 1:53 am

FractalFusion wrote:
November 21st, 2021, 4:43 am
Putting aside total aperiodic, certain types of MMM breeder (rake of rakes) sweep the entire plane infinitely with gliders in a periodic manner. In this sense, it answers an even stronger challenge, where each cell's proportion of ON generations must tend to a positive number. (And running an MMM breeder in LifeHistory/Super has the advantage of being much more obvious that each cell will eventually be covered.)
This is the best demonstration of "total periodic" I have seen.

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