Non-totalistic CA Growth Challenge

For discussion of other cellular automata.
Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Non-totalistic CA Growth Challenge

Post by Saka » January 4th, 2018, 8:15 pm

I have a competition challenge thing.
Find a non-totalistic rule and find a pattern that exhibits lots of growth.
The goal is the highest FinalPop/InitPop (What I will call an FI score). Round the value if needed.
REVISION:
The goal is the highest FinalPop/InitialPop/Generations (Generations is the amount of generations needed to reach said population). Since this is more "sensitive" to changes, the first 3 digits must be provided. This is the Fig index.

For already-submitted patterns, just add a Fig index along with FI Score.
Rules:
1. The rule must be in the form of B/S, no custom ruletables, generations, or LTL
2. The pattern cannot be adjustable, so you cannot have a puffer colliding with another.
3. It is allowed for the final pattern to oscillate, just pick a random point in time or find the maximum population.
4. The pattern must stop growing at some point. Infinite growth patterns are not allowed.

Mine:
26 cells -> 412,237 cells
FI Score 15855.3
Fig index 1.775

Code: Select all

x = 7, y = 7, rule = B2ci3-i4ai6i78/S2a34a5aijn6acn78
4b3o$ob2ob2o$3bo2bo$3bobo$2b2o2bo$7o$bobob2o!
Natural
Current record:
Fig index: 244.823
26 cells to 291,344,568 in 45770 generations
toroidalet

Code: Select all

x = 26, y = 13, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6-ik78
25bo$21bo3bo$19bo4bo$19bo2b2o$21b2o$25bo$bo3bo14bo3bo$o$3b2o$2b2o2bo$b
o4bo$o3bo$o!
Engineered
Current record:
Fig index: o̶v̶e̶r̶ ̶9̶0̶0̶0̶ "somewhere between 10^16 and 10^17"
1422 to SomeLargeNumber in SomeOtherLargeNumber
calcyman

Code: Select all

x = 369, y = 464, rule = B3/S23
150bo$151bob2obobo$145b3o3b4o3bo$151bo2b2ob2o$150bo$148b3o$148b3o17b2o
$168b2o3$133bo$133bo$133bo$136b2o$136b2o38b2o$131bo3b3o38b2o$132b3o$
133bo$132b2o$132b3o$134bo8bo11bobo$132bo8b2ob2o10b2o$134bo9b2o10bo27b
2o$132b3o6b3o40b2o$143bo3bo$142bo3bo$124bo18b3obo$125bob2obobo12b2o$
119b3o3b4o3bo11bobo$125bo2b2ob2o12bo26b2o2bo$124bo19b2o29bobo$122b3o
18b3o28bo$122b3o18bob2o$142b5o29b2o2$177b2o$176bo$174b2ob2o$177b2o$
162bo12bo$162bo$164bo5bo$138b4o21bo6bobo$142bo19bo3bo2bo$124bob2ob2o7b
o4bo19bo2bobob2o$123b5o2b2o7b2obo25bob2o$123bo2b3obo10bo$129bo5$130b2o
$130b2o2$146b2o2bo$149bobo84b2o$148bo87b2o2$150b2o$138b2o$138b2o11b2o$
150bo$148b2ob2o$151b2o$149bo2$234b2o3b2o$146b2o$146b2o87bo3bo$236b3o$
236b3o6$233bo5bo$232bo5b3o$232b3o3b3o2$236b2o3b2o$236b2o3b2o6$236b2o8b
o$237bo6b3o$234b3o6bo$234bo8b2o$188bo$188b3o$191bo$190b2o32bo$222b3o$
221bo16b2o3b2o$221b2o15bo5bo2$235b2o2bo3bo$234b2o4b3o$236bo3$226b2o$
227b2o$217b5o4bo$216bob3obo16bo$217bo3bo15b2ob2o$218b3o$219bo16bo5bo$
220b2o$220bobo13b2obob2o$220bobo$221bo3$218b2obob2o$192b2o24bo5bo$193b
o25bo3bo$220b3o$189b2o47b2o$190bo47b2o2$186b2o$187bo2$183b2o$184bo36b
2o$221b2o$180b2o$181bo2$177b2o$178bo2$174b2o$175bo2$171b2o$172bo2$168b
2o$169bo2$165b2o$166bo2$162b2o$163bo2$159b2o$160bo2$156b2o$157bo2$153b
2o$154bo2$150b2o$151bo2$147b2o$148bo2$144b2o$145bo2$141b2o$142bo2$138b
2o$139bo2$135b2o$136bo2$132b2o$133bo2$129b2o$130bo2$126b2o$127bo2$123b
2o$124bo2$120b2o$121bo2$117b2o$118bo2$114b2o$115bo2$111b2o$112bo2$108b
2o$109bo2$105b2o$106bo2$102b2o$103bo$283bo$99b2o183bo$100bo179bo3bo$
281b4o$96b2o$97bo2$93b2o$94bo2$90b2o$91bo2$87b2o$88bo2$84b2o$85bo2$81b
2o$82bo2$78b2o$79bo2$75b2o$76bo2$72b2o$73bo2$69b2o$70bo2$66b2o$67bo2$
63b2o$64bo2$60b2o$61bo2$57b2o$58bo2$54b2o$55bo2$51b2o$52bo2$48b2o$49bo
2$45b2o$46bo2$42b2o$43bo2$39b2o$40bo298bo$340bo$36b2o298bo3bo$37bo299b
4o2$33b2o$34bo301bo$337bo$30b2o306bo$31bo306bo$337b2o$27b2o$28bo2$24b
2o313bo$25bo314bo22b6o$336bo3bo21bo5bo$21b2o314b4o27bo$22bo339bo4bo$
364b2o$18b2o$19bo339b2obob2o$358bobobo3bo$15b2o349bo$16bo343bo3b3o$
362bo$12b2o288bo57bob2o$13bo289bo56bo$299bo3bo54bob2o$9b2o289b4o54bo$
10bo345bob2o$356bo$6b2o346bob2o$7bo346bo$352bob2o$3b2o347bo$4bo345bob
2o$209bo140bo$2o208bo137bob2o$bo204bo3bo137bo$207b4o135bob2o$346bo$
344bob2o$344bo$342bob2o$342bo$340bob2o$340bo$338bob2o$338bo$336bob2o$
336bo$334bob2o$334bo$332bob2o$332bo$330bob2o$330bo$328bob2o$328bo$326b
ob2o$326bo$324bob2o$324bo$322bob2o$322bo$181bo138bob2o$179bo3bo136bo$
178bo139bob2o$178bo4bo20b3o2bo108bo$178b5o20bob2obo2b2o103bob2o$187b2o
13b2ob3o3b4obo99bo$184bob5o2b2o6b4obobo2bob5o96bob2o$183bo7b4o5bo3bob
4o4bo4bo94bo$183bo10bo4b2o2bo2bo4bo6bo93bob2o$183b3o7b2ob3obo2bo3b5o3b
o2bo3bo3bo85bo$182bo3bo2b3o9b2o5bo6bo2bo2bobobobo82bob2o$182bo3bo2b3o
9b2o5bo6bo2bo2bobobobo82bo$183b3o7b2ob3obo2bo3b5o3bo2bo3bo3bo81bob2o$
183bo10bo4b2o2bo2bo4bo6bo89bo$183bo7b4o5bo3bob4o4bo4bo86bob2o$184bob5o
2b2o6b4obobo2bob5o11bo76bo$187b2o13b2ob3o3b4obo7bo6bo72bob2o$178b5o14b
obo3bob2obo2b2o11bo79bo$178bo4bo12bo2bo4b3o2bo9b3o2bo6bo5b6o59bob2o$
178bo16b2o22b3o3b6o6bo5bo58bo$179bo3bo10bo20b2o3b2o15bo62bob2o$181bo
11b4o17b2ob2o19bo4bo56bo$192bo4bo17b6o19b2o56bob2o$192bo2bo20b3o3bo75b
o$192bo2bo22bo21b2obob2o49bob2o$193bo24bo3bo16bo3bobobo48bo$194b4obo
18b4o17bo54bob2o$195bo3bo39b3o3bo48bo$196bo46bo48bob2o$196bobo43b2obo
46bo$245bo44bob2o$195b3o46b2obo42bo$195b2o50bo40bob2o$195b3o48b2obo38b
o$249bo36bob2o$196bobo49b2obo34bo$196bo2bo51bo32bob2o$195bo54b2obo30bo
$196bobo54bo28bob2o$196b2o54b2obo26bo$195b2o58bo24bob2o$194bo2b2o55b2o
bo22bo$193bo3b2o58bo20bob2o$193bo3b3o56b2obo6b2o10bo$193bo3bobo59bo4bo
11bob2o$194bo63b2obobo3bo8bo$195b4o62bo3b2o7bob2o$199bo60b2obobo8bo$
193b3obo64b2o4bobobob2o$193bo2b2obo63bo4bo3bo$192bo2bobo64b2o2bobobob
2o$192b2o3b3o63b2o3bob2o$264b3ob3o$192bobo2bo67bo$191b2o4b2obo$192b2o$
193b5obo$194bobo$197b3o$197bo$199b3o$199bo$201b3o$201bo$203b3o$203bo$
205b3o$205bo$207b3o$207bo$209b3o$209bo$211b3o$211bo$213b3o$213bo$215b
3o$215bo$217b3o$217bo$219b3o$219bo$221b3o$221bo$223b3o$223bo$225b3o$
225bo$227b3o$227bo$229b3o$229bo$231b3o$231bo$233b3o$233bo$235b3o$235bo
$237b3o$237bo$239b3o$239bo$241b3o$241bo$243b3o$243bo$245b3o$245bo$247b
3o$247bo$249b3o$249bo$251b3o$251bo$253b3o5bo$253bo8bo$255b3obob2o$255b
o$257b2o2b2o2bobo$257bo10bo$259bo2bobo3bo$259bo2bobo3bo$259b3o6bo$265b
o2bo$266b3o!
Last edited by Saka on September 15th, 2019, 10:36 am, edited 12 times in total.
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

AforAmpere
Posts: 1066
Joined: July 1st, 2016, 3:58 pm

Re: Non-totalistic CA Growth Challenge

Post by AforAmpere » January 4th, 2018, 8:40 pm

39 cells to 1095354, so FI of 28086:

Code: Select all

x = 10, y = 9, rule = B37/S4567
2b2o$2bo$3o3bo$b2ob2o3bo$2b8o$2b8o$2b3ob3o$3b4o$7bo!
EDIT, reduced to 39 cells, same end
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)

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dani
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Location: New Jersey, USA
Contact:

Re: Non-totalistic CA Growth Challenge

Post by dani » January 4th, 2018, 9:05 pm

I've got 5 contenders in the same rule, although it might be cheaty considering a gun gets created and destroyed in all of them. The first four are closely related.

5 cells->328,644 cells (stabilizes at gen 37,590):

Code: Select all

x = 3, y = 5, rule = B2-an3aiy/S2-in3cijky4-nqrz5k
o$bo$2bo$bo$o!
FI of 65728.8

5 cells->328,868 cells (stabilizes at gen 37,580):

Code: Select all

x = 4, y = 5, rule = B2-an3aiy/S2-in3cijky4-nqrz5k
o$bo$3bo$bo$o!
FI of 65773.6

5 cells->328,868 cells (stabilizes at gen 37,589):

Code: Select all

x = 7, y = 3, rule = B2-an3aiy/S2-in3cijky4-nqrz5k
o5bo$2bo$o5bo!
FI of 65773.6

5 cells->328,868 cells (stabilizes at gen 37,589):

Code: Select all

x = 3, y = 7, rule = B2-an3aiy/S2-in3cijky4-nqrz5k
obo4$o$2bo$o!
FI of 65773.6

5 cells-> 502,616 cells (stabilizes at gen 1,843,772, the gun falls victim to a pulling reaction which takes a pretty long time to settle down):

Code: Select all

x = 7, y = 3, rule = B2-an3aiy/S2-in3cijky4-nqrz5k
6bo$obobo$6bo!
FI of 100523.2

Hopefully I didn't wreck the competition.
moose#0915

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Non-totalistic CA Growth Challenge

Post by Saka » January 4th, 2018, 9:37 pm

I have edited the OP and changed the scoring to the Fig system
AforAmpere wrote:39 cells to 1095354, so FI of 28086:

Code: Select all

x = 10, y = 9, rule = B37/S4567
2b2o$2bo$3o3bo$b2ob2o3bo$2b8o$2b8o$2b3ob3o$3b4o$7bo!
EDIT, reduced to 39 cells, same end
This has a Fig index of 0.169 if my script did it correctly.
danny wrote:
5 cells->328,644 cells (stabilizes at gen 37,590):
FI of 65728.8

5 cells->328,868 cells (stabilizes at gen 37,580):
FI of 65773.6

5 cells->328,868 cells (stabilizes at gen 37,589):
FI of 65773.6

5 cells->328,868 cells (stabilizes at gen 37,589):
FI of 65773.6

5 cells-> 502,616 cells (stabilizes at gen 1,843,772, the gun falls victim to a pulling reaction which takes a pretty long time to settle down):
FI of 100523.2
Figs for all:
a)1.748
b)1.750
c)1.749
d)1.749
e)0.055
Last edited by Saka on January 4th, 2018, 11:44 pm, edited 1 time in total.
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Non-totalistic CA Growth Challenge

Post by Saka » January 4th, 2018, 10:00 pm

Fig index 1.551

Code: Select all

x = 5, y = 5, rule = B2ci3-i4ai6i78/S2a34a5aijn6acn78
bob2o$b4o$o2bo$2bo$o2bo!
Oh my oh my, I found a pattern in a different rule of Fig index 4.165

Code: Select all

x = 7, y = 7, rule = B2cik3-i4ai6ai78/S2a3-j4a5aijn6acn78
b6o$obob2o$6bo$3ob2o$b2ob3o$2o2b3o$3bo!
Last edited by Saka on January 4th, 2018, 11:44 pm, edited 2 times in total.
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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gmc_nxtman
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Joined: May 26th, 2015, 7:20 pm

Re: Non-totalistic CA Growth Challenge

Post by gmc_nxtman » January 4th, 2018, 10:03 pm

FI score = 79466
Fig score = 0.584 (I think):

Code: Select all

x = 83, y = 82, rule = B2ei3-jqry8/S01e
obo81$82bo!
Initial Pop. 3, final pop 238,399. Takes 135,981 ticks to stabilize.

EDIT: Another one with higher FI (144,298) but low Fig score(0.564), there's probably better rules for the symmetry-breaking phenomenon:

Code: Select all

x = 104, y = 103, rule = B2ei3-jqry8/S01e
obo102$103bo!

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Non-totalistic CA Growth Challenge

Post by Saka » January 4th, 2018, 10:23 pm

An impressive result in the same rule as the 4.165 one.
29 cells to 1,609,006 cells in 13,484 generations

Code: Select all

x = 7, y = 7, rule = B2cik3-i4ai6ai78/S2a3-j4a5aijn6acn78
obo2bo$b2o2b2o$ob3o$2b2ob2o$b6o$3b2obo$3ob2o!
BUT, run it 1 tick and we get a Fig 4.773 one with 25 cells to 1,609,006 cells in 13,483 generations:

Code: Select all

x = 9, y = 9, rule = B2cik3-i4ai6ai78/S2a3-j4a5aijn6acn78
2bo$3bo2b2o$2o4b2o$4bo2b2o$bob5o$2b3o$bo4b2o$6bo$4bo!
Fig 4.772
23 to 518110 in 4721

Code: Select all

x = 7, y = 7, rule = B2cik3-i4ai6ai78/S2a3-j4a5aijn6acn78
2bob2o$2b2o2bo$2ob3o$bobobo$bo$2b2o2bo$b3ob2o!
Fig 4.147
22 to 810252 in 8882

Code: Select all

x = 9, y = 7, rule = B2-ae3-iq4ai6ai78/S2a3-j4a5aijn6acn78
ob4o$ob2o2bo$2bo4bo$bobo4bo$2bobobo$bo2b2o$3bobo!
Last edited by Saka on January 4th, 2018, 10:34 pm, edited 1 time in total.
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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dvgrn
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Re: Non-totalistic CA Growth Challenge

Post by dvgrn » January 4th, 2018, 10:31 pm

danny wrote:I've got 5 contenders in the same rule, although it might be cheaty considering a gun gets created and destroyed in all of them...
Hopefully I didn't wreck the competition.
@Saka, you calculated the Fig score for those five contenders -- so the rule "Infinite growth patterns are not allowed" just means

Option 1: the pattern's population has to stop growing,
not
Option 2: the pattern's bounding box (and therefore population) has to stop growing

?

I was looking for something along the lines of the second option as a sample for Golly's new Non-Totalistic folder. Just ran a fresh search, and got a population of 22, final population 508,005 -- not a contender, but clearly there are much larger organized explosions along similar lines:

Code: Select all

x = 6, y = 6, rule = B2-a5/S1e2-a35678
b4o$3obo$5o$3o2bo$6o$6o!
#C [[ STEP 50 AUTOFIT AUTOSTART ]]
EDIT: Or here's my new favorite Organized Explosion with a finite final bounding box:[/b]

Code: Select all

x = 8, y = 7, rule = B2-a5/S1e2-a35678
bo$bo3bo$bo2bo2bo$bo2bo2bo$obo2bo$bo3bo$bobo2bo!
#C [[ STEP 50 AUTOFIT AUTOSTART ]]
I take it this kind of thing is okay, starting from a small soup so therefore not adjustable -- even if the big population comes from one puffer-if-that's-what-you-call-it following another slower one?

My first thought was something like a B3/S23 spacefiller, plus a very far away block... but of course the block is adjustable and therefore forbidden. Does that rule out gmc_nxtman's symmetry-breaking example for the same kind of reason?

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Non-totalistic CA Growth Challenge

Post by Saka » January 4th, 2018, 10:52 pm

dvgrn wrote: @Saka, you calculated the Fig score for those five contenders -- so the rule "Infinite growth patterns are not allowed" just means

Option 1: the pattern's population has to stop growing,
not
Option 2: the pattern's bounding box (and therefore population) has to stop growing

?
Yes, I allow things that have gliders, but I just "barely tolerate" them and when I search for them I don't like gliders so I use the "crystalline" rules.
dvgrn wrote: My first thought was something like a B3/S23 spacefiller, plus a very far away block... but of course the block is adjustable and therefore forbidden. Does that rule out gmc_nxtman's symmetry-breaking example for the same kind of reason?
This is difficult. If the block only works if put at a specific distance (Can't go farther or nearer) then it is allowed. Gmc_nxtman's is a bit harder to allow-or-disallow because some placements of dots don't work, so I guess they are ok enough.

The crystal growth patterns with Fig index > 4 in the post above yours might be of interest.

o m g
Fig index 7.617
23 to 3,880,813 in 22151

Code: Select all

x = 7, y = 7, rule = B2-ae3-ik4ai6ai78/S2a3-j4a5aijn6acn78
2obobo$2b2o2bo$o4bo$o2b3o$2bo3bo$3ob3o$2bo2bo!
I really need to stop but I don't want to
Fig index 24.137
23 to 7,756,193 in 13,971

Code: Select all

x = 10, y = 10, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
6bo$3b3o$4b2o2b2o$4bo3bo$o2bo3b2o$o7bo$b2obo2bo$7bo$4bo$4bo!
At 15 ticks it becomes pop. 13
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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calcyman
Posts: 2119
Joined: June 1st, 2009, 4:32 pm

Re: Non-totalistic CA Growth Challenge

Post by calcyman » January 5th, 2018, 1:54 am

Here's my entry in B3/S23:

Code: Select all

x = 313, y = 101, rule = B3/S23
133bo$134bo$130bo3bo$131b4o3$130bo$131bo$132bo$132bo$131b2o4$133bo$
134bo172b6o$130bo3bo171bo5bo$131b4o177bo$306bo4bo$308b2o2$303b2obob2o$
302bobobo3bo$310bo$304bo3b3o$306bo$96bo207bob2o$97bo206bo$93bo3bo204bo
b2o$94b4o204bo$300bob2o$300bo$298bob2o$298bo$296bob2o$296bo$294bob2o$
3bo290bo$4bo287bob2o$o3bo287bo$b4o285bob2o$290bo$288bob2o$288bo$286bob
2o$286bo$284bob2o$284bo$282bob2o$282bo$280bob2o$280bo$278bob2o$278bo$
276bob2o$276bo$274bob2o$274bo$272bob2o$272bo$270bob2o$270bo$268bob2o$
268bo$266bob2o$266bo$264bob2o$264bo$262bob2o$262bo$260bob2o$260bo$258b
ob2o$258bo$256bob2o$256bo$254bob2o$254bo$252bob2o$252bo$250bob2o$250bo
$248bob2o$242bo5bo$137b2o7b2o76bo6b2o2bobobo4bobob2o$149bo5b2o59b2o5bo
2bo2b3o2bo4bo2bo3bo$137bo4bo3bo4bobo4bo3b25o16b2obobo5bo4bobo5bob4obob
4ob2obob2o$138b2obo4bob2ob3obo61bob3ob2ob3o5bo2bo6b2o$139bobob2ob2o3b
3o2b2obo42bo4bo5bob2o2b3o3bo2bo5bobobo5bo$140b2o4bo11b57o14bo3bo2bo4bo
2b2o$141bo3bo84b3o3b2obo3b2o$142b3o15b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2ob2o25b2ob3o$242bo$138b2o7b2o12bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo12b2o7b2o$139bo8b3obobob2o2b2ob2ob2ob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o2b2obobob3o8bo$139b2obobo2bobo7b4o3b
2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b4o7bobo2bobob2o$139b2obo4b
obob2ob2ob3o5b2o3b2o5b2o3b2o5b2o3b2o5b2o3b2o5b3ob2ob2obobo4bob2o$142bo
2bob2o4bo4bo7bo3bo7bo3bo7bo3bo7bo3bo7bo4bo4b2obo2bo$141b2ob3o20b3o9b3o
9b3o9b3o20b3ob2o$143b3o81b3o$144bo83bo!
What do you do with ill crystallographers? Take them to the mono-clinic!

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Non-totalistic CA Growth Challenge

Post by Saka » January 5th, 2018, 1:59 am

calcyman wrote:Here's my entry in B3/S23:

Code: Select all

Clever Calcyman's Creation
Woah.
What's the Fig Index for this guy?
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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gmc_nxtman
Posts: 1148
Joined: May 26th, 2015, 7:20 pm

Re: Non-totalistic CA Growth Challenge

Post by gmc_nxtman » January 5th, 2018, 3:25 am

FI 754250 and Fig index 88.247, probably beaten by calcyman's but whatever:

Code: Select all

x = 13, y = 2, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
2ob2obobo$bob3obo2bobo!
EDIT: Low fig index(only about 10) but a very high final pop.(31,943,622) and FI(798,591) so posting:

Code: Select all

x = 39, y = 2, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
bo3b3ob2obobobob3obob4ob2ob3obo$2o3b2ob2o3bo6bo2bo2b2ob3ob2o3bo!

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Non-totalistic CA Growth Challenge

Post by Saka » January 5th, 2018, 3:52 am

Fig Index 16.383

Code: Select all

x = 11, y = 4, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
2bob2obobo$3o3b3obo$2bo2bo$4bo!
Fig Index 22.380

Code: Select all

x = 11, y = 11, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
5bo$3bo$2bo4bo$b2o2b4o$4bo3bo$2ob2o3bobo$3bo$o4b6o$b2o3b3o$2b2o5bo$5bo
bo!
Fig Index 8.237, but in the "huge crystals" rule

Code: Select all

x = 11, y = 2, rule = B2-ae3-ik4ai6ai78/S2a3-j4a5aijn6acn78
o3bo3b3o$2ob2obob3o!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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gmc_nxtman
Posts: 1148
Joined: May 26th, 2015, 7:20 pm

Re: Non-totalistic CA Growth Challenge

Post by gmc_nxtman » January 5th, 2018, 4:02 am

FI 1334941, Fig index 128.224:

Code: Select all

x = 20, y = 2, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
bo5b2ob2obobo$2o6bob3obo2bobo!
EDIT: Fig index is only about 59, but has an FI of 1,934,517:

Code: Select all

x = 23, y = 2, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
2o8b2ob2obobo$bo9bob3obo2bobo!
Last edited by gmc_nxtman on January 5th, 2018, 4:15 am, edited 1 time in total.

Saka
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Location: In the kingdom of Sultan Hamengkubuwono X

Re: Non-totalistic CA Growth Challenge

Post by Saka » January 5th, 2018, 4:09 am

gmc_nxtman wrote:FI 1334941, Fig index 128.224:

Code: Select all

x = 20, y = 2, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
bo5b2ob2obobo$2o6bob3obo2bobo!
Amazing!
A stupid one in the crystal rule with Fig Index of 9.925

Code: Select all

x = 12, y = 2, rule = B2-ae3-ik4ai6ai78/S2a3-j4a5aijn6acn78
2b5obo2bo$ob5o2b3o!
Now that I have learned your sacred ways, Fig Index 64.306

Code: Select all

x = 30, y = 2, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
o16b2ob2obobo$2o16bob3obo2bobo!
Fig Index 63.549

Code: Select all

x = 26, y = 2, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
o9bo4b4obo2b2o$2o9b2obo2b2obob4o!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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calcyman
Posts: 2119
Joined: June 1st, 2009, 4:32 pm

Re: Non-totalistic CA Growth Challenge

Post by calcyman » January 5th, 2018, 6:01 am

Saka wrote:
calcyman wrote:Here's my entry in B3/S23:

Code: Select all

Clever Calcyman's Creation
Woah.
What's the Fig Index for this guy?

I haven't ran it to completion, but the approximate results are:

Initial pop: 646
Final pop: 450 000 000 000
FI: 700 000 000
Lifespan: 68 000 000
Fig index: 10

It's heavily penalised by its long lifespan, which is caused by switch-engines moving so slowly.

In terms of Fig index, this variant is much better (somewhere between 10^16 and 10^17):

Code: Select all

x = 369, y = 464, rule = B3/S23
150bo$151bob2obobo$145b3o3b4o3bo$151bo2b2ob2o$150bo$148b3o$148b3o17b2o
$168b2o3$133bo$133bo$133bo$136b2o$136b2o38b2o$131bo3b3o38b2o$132b3o$
133bo$132b2o$132b3o$134bo8bo11bobo$132bo8b2ob2o10b2o$134bo9b2o10bo27b
2o$132b3o6b3o40b2o$143bo3bo$142bo3bo$124bo18b3obo$125bob2obobo12b2o$
119b3o3b4o3bo11bobo$125bo2b2ob2o12bo26b2o2bo$124bo19b2o29bobo$122b3o
18b3o28bo$122b3o18bob2o$142b5o29b2o2$177b2o$176bo$174b2ob2o$177b2o$
162bo12bo$162bo$164bo5bo$138b4o21bo6bobo$142bo19bo3bo2bo$124bob2ob2o7b
o4bo19bo2bobob2o$123b5o2b2o7b2obo25bob2o$123bo2b3obo10bo$129bo5$130b2o
$130b2o2$146b2o2bo$149bobo84b2o$148bo87b2o2$150b2o$138b2o$138b2o11b2o$
150bo$148b2ob2o$151b2o$149bo2$234b2o3b2o$146b2o$146b2o87bo3bo$236b3o$
236b3o6$233bo5bo$232bo5b3o$232b3o3b3o2$236b2o3b2o$236b2o3b2o6$236b2o8b
o$237bo6b3o$234b3o6bo$234bo8b2o$188bo$188b3o$191bo$190b2o32bo$222b3o$
221bo16b2o3b2o$221b2o15bo5bo2$235b2o2bo3bo$234b2o4b3o$236bo3$226b2o$
227b2o$217b5o4bo$216bob3obo16bo$217bo3bo15b2ob2o$218b3o$219bo16bo5bo$
220b2o$220bobo13b2obob2o$220bobo$221bo3$218b2obob2o$192b2o24bo5bo$193b
o25bo3bo$220b3o$189b2o47b2o$190bo47b2o2$186b2o$187bo2$183b2o$184bo36b
2o$221b2o$180b2o$181bo2$177b2o$178bo2$174b2o$175bo2$171b2o$172bo2$168b
2o$169bo2$165b2o$166bo2$162b2o$163bo2$159b2o$160bo2$156b2o$157bo2$153b
2o$154bo2$150b2o$151bo2$147b2o$148bo2$144b2o$145bo2$141b2o$142bo2$138b
2o$139bo2$135b2o$136bo2$132b2o$133bo2$129b2o$130bo2$126b2o$127bo2$123b
2o$124bo2$120b2o$121bo2$117b2o$118bo2$114b2o$115bo2$111b2o$112bo2$108b
2o$109bo2$105b2o$106bo2$102b2o$103bo$283bo$99b2o183bo$100bo179bo3bo$
281b4o$96b2o$97bo2$93b2o$94bo2$90b2o$91bo2$87b2o$88bo2$84b2o$85bo2$81b
2o$82bo2$78b2o$79bo2$75b2o$76bo2$72b2o$73bo2$69b2o$70bo2$66b2o$67bo2$
63b2o$64bo2$60b2o$61bo2$57b2o$58bo2$54b2o$55bo2$51b2o$52bo2$48b2o$49bo
2$45b2o$46bo2$42b2o$43bo2$39b2o$40bo298bo$340bo$36b2o298bo3bo$37bo299b
4o2$33b2o$34bo301bo$337bo$30b2o306bo$31bo306bo$337b2o$27b2o$28bo2$24b
2o313bo$25bo314bo22b6o$336bo3bo21bo5bo$21b2o314b4o27bo$22bo339bo4bo$
364b2o$18b2o$19bo339b2obob2o$358bobobo3bo$15b2o349bo$16bo343bo3b3o$
362bo$12b2o288bo57bob2o$13bo289bo56bo$299bo3bo54bob2o$9b2o289b4o54bo$
10bo345bob2o$356bo$6b2o346bob2o$7bo346bo$352bob2o$3b2o347bo$4bo345bob
2o$209bo140bo$2o208bo137bob2o$bo204bo3bo137bo$207b4o135bob2o$346bo$
344bob2o$344bo$342bob2o$342bo$340bob2o$340bo$338bob2o$338bo$336bob2o$
336bo$334bob2o$334bo$332bob2o$332bo$330bob2o$330bo$328bob2o$328bo$326b
ob2o$326bo$324bob2o$324bo$322bob2o$322bo$181bo138bob2o$179bo3bo136bo$
178bo139bob2o$178bo4bo20b3o2bo108bo$178b5o20bob2obo2b2o103bob2o$187b2o
13b2ob3o3b4obo99bo$184bob5o2b2o6b4obobo2bob5o96bob2o$183bo7b4o5bo3bob
4o4bo4bo94bo$183bo10bo4b2o2bo2bo4bo6bo93bob2o$183b3o7b2ob3obo2bo3b5o3b
o2bo3bo3bo85bo$182bo3bo2b3o9b2o5bo6bo2bo2bobobobo82bob2o$182bo3bo2b3o
9b2o5bo6bo2bo2bobobobo82bo$183b3o7b2ob3obo2bo3b5o3bo2bo3bo3bo81bob2o$
183bo10bo4b2o2bo2bo4bo6bo89bo$183bo7b4o5bo3bob4o4bo4bo86bob2o$184bob5o
2b2o6b4obobo2bob5o11bo76bo$187b2o13b2ob3o3b4obo7bo6bo72bob2o$178b5o14b
obo3bob2obo2b2o11bo79bo$178bo4bo12bo2bo4b3o2bo9b3o2bo6bo5b6o59bob2o$
178bo16b2o22b3o3b6o6bo5bo58bo$179bo3bo10bo20b2o3b2o15bo62bob2o$181bo
11b4o17b2ob2o19bo4bo56bo$192bo4bo17b6o19b2o56bob2o$192bo2bo20b3o3bo75b
o$192bo2bo22bo21b2obob2o49bob2o$193bo24bo3bo16bo3bobobo48bo$194b4obo
18b4o17bo54bob2o$195bo3bo39b3o3bo48bo$196bo46bo48bob2o$196bobo43b2obo
46bo$245bo44bob2o$195b3o46b2obo42bo$195b2o50bo40bob2o$195b3o48b2obo38b
o$249bo36bob2o$196bobo49b2obo34bo$196bo2bo51bo32bob2o$195bo54b2obo30bo
$196bobo54bo28bob2o$196b2o54b2obo26bo$195b2o58bo24bob2o$194bo2b2o55b2o
bo22bo$193bo3b2o58bo20bob2o$193bo3b3o56b2obo6b2o10bo$193bo3bobo59bo4bo
11bob2o$194bo63b2obobo3bo8bo$195b4o62bo3b2o7bob2o$199bo60b2obobo8bo$
193b3obo64b2o4bobobob2o$193bo2b2obo63bo4bo3bo$192bo2bobo64b2o2bobobob
2o$192b2o3b3o63b2o3bob2o$264b3ob3o$192bobo2bo67bo$191b2o4b2obo$192b2o$
193b5obo$194bobo$197b3o$197bo$199b3o$199bo$201b3o$201bo$203b3o$203bo$
205b3o$205bo$207b3o$207bo$209b3o$209bo$211b3o$211bo$213b3o$213bo$215b
3o$215bo$217b3o$217bo$219b3o$219bo$221b3o$221bo$223b3o$223bo$225b3o$
225bo$227b3o$227bo$229b3o$229bo$231b3o$231bo$233b3o$233bo$235b3o$235bo
$237b3o$237bo$239b3o$239bo$241b3o$241bo$243b3o$243bo$245b3o$245bo$247b
3o$247bo$249b3o$249bo$251b3o$251bo$253b3o5bo$253bo8bo$255b3obob2o$255b
o$257b2o2b2o2bobo$257bo10bo$259bo2bobo3bo$259bo2bobo3bo$259b3o6bo$265b
o2bo$266b3o!
What do you do with ill crystallographers? Take them to the mono-clinic!

User avatar
gmc_nxtman
Posts: 1148
Joined: May 26th, 2015, 7:20 pm

Re: Non-totalistic CA Growth Challenge

Post by gmc_nxtman » January 5th, 2018, 6:11 am

Ok so clearly calcyman wins here with engineered patterns, but here's a natural pattern with FI 1017015 and Fig index 135.819:

Code: Select all

x = 14, y = 2, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
obob2ob3o2b2o$2b3o2bobob2o!
Perhaps we should start counting them in different categories? To me, engineering the pattern with the highest Fig index seems a little different than just soup searching for the rarest results.

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Non-totalistic CA Growth Challenge

Post by Saka » January 5th, 2018, 7:58 am

I like crystals rather than monoliths because they're pretty
So here's a Fig Index 4.860 crystal seed:

Code: Select all

x = 12, y = 10, rule = B2-ae3-ik4ai6ai78/S2a3-j4a5aijn6acn78
3bo3bo$bob2ob3ob2o$bob4o2b3o$4b2o$bo2bobobo$bobo5bo$o3bo2bobo$b2o5b2o$
2bo$4b3obo!
And a Fig Index 4.844 crystal:

Code: Select all

x = 12, y = 11, rule = B2-ae3-ik4ai6ai78/S2a3-j4a5aijn6acn78
6bo$4bo2bo$3b2o2b2o$2b3o$6bo2bo$o$bo2bobo4bo$b3obo$4bo5bo$5b4o$5bo!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

User avatar
Macbi
Posts: 711
Joined: March 29th, 2009, 4:58 am

Re: Non-totalistic CA Growth Challenge

Post by Macbi » January 5th, 2018, 8:36 am

calcyman wrote:In terms of Fig index, this variant is much better (somewhere between 10^16 and 10^17):

Code: Select all

x = 369, y = 464, rule = B3/S23
150bo$151bob2obobo$145b3o3b4o3bo$151bo2b2ob2o$150bo$148b3o$148b3o17b2o
$168b2o3$133bo$133bo$133bo$136b2o$136b2o38b2o$131bo3b3o38b2o$132b3o$
133bo$132b2o$132b3o$134bo8bo11bobo$132bo8b2ob2o10b2o$134bo9b2o10bo27b
2o$132b3o6b3o40b2o$143bo3bo$142bo3bo$124bo18b3obo$125bob2obobo12b2o$
119b3o3b4o3bo11bobo$125bo2b2ob2o12bo26b2o2bo$124bo19b2o29bobo$122b3o
18b3o28bo$122b3o18bob2o$142b5o29b2o2$177b2o$176bo$174b2ob2o$177b2o$
162bo12bo$162bo$164bo5bo$138b4o21bo6bobo$142bo19bo3bo2bo$124bob2ob2o7b
o4bo19bo2bobob2o$123b5o2b2o7b2obo25bob2o$123bo2b3obo10bo$129bo5$130b2o
$130b2o2$146b2o2bo$149bobo84b2o$148bo87b2o2$150b2o$138b2o$138b2o11b2o$
150bo$148b2ob2o$151b2o$149bo2$234b2o3b2o$146b2o$146b2o87bo3bo$236b3o$
236b3o6$233bo5bo$232bo5b3o$232b3o3b3o2$236b2o3b2o$236b2o3b2o6$236b2o8b
o$237bo6b3o$234b3o6bo$234bo8b2o$188bo$188b3o$191bo$190b2o32bo$222b3o$
221bo16b2o3b2o$221b2o15bo5bo2$235b2o2bo3bo$234b2o4b3o$236bo3$226b2o$
227b2o$217b5o4bo$216bob3obo16bo$217bo3bo15b2ob2o$218b3o$219bo16bo5bo$
220b2o$220bobo13b2obob2o$220bobo$221bo3$218b2obob2o$192b2o24bo5bo$193b
o25bo3bo$220b3o$189b2o47b2o$190bo47b2o2$186b2o$187bo2$183b2o$184bo36b
2o$221b2o$180b2o$181bo2$177b2o$178bo2$174b2o$175bo2$171b2o$172bo2$168b
2o$169bo2$165b2o$166bo2$162b2o$163bo2$159b2o$160bo2$156b2o$157bo2$153b
2o$154bo2$150b2o$151bo2$147b2o$148bo2$144b2o$145bo2$141b2o$142bo2$138b
2o$139bo2$135b2o$136bo2$132b2o$133bo2$129b2o$130bo2$126b2o$127bo2$123b
2o$124bo2$120b2o$121bo2$117b2o$118bo2$114b2o$115bo2$111b2o$112bo2$108b
2o$109bo2$105b2o$106bo2$102b2o$103bo$283bo$99b2o183bo$100bo179bo3bo$
281b4o$96b2o$97bo2$93b2o$94bo2$90b2o$91bo2$87b2o$88bo2$84b2o$85bo2$81b
2o$82bo2$78b2o$79bo2$75b2o$76bo2$72b2o$73bo2$69b2o$70bo2$66b2o$67bo2$
63b2o$64bo2$60b2o$61bo2$57b2o$58bo2$54b2o$55bo2$51b2o$52bo2$48b2o$49bo
2$45b2o$46bo2$42b2o$43bo2$39b2o$40bo298bo$340bo$36b2o298bo3bo$37bo299b
4o2$33b2o$34bo301bo$337bo$30b2o306bo$31bo306bo$337b2o$27b2o$28bo2$24b
2o313bo$25bo314bo22b6o$336bo3bo21bo5bo$21b2o314b4o27bo$22bo339bo4bo$
364b2o$18b2o$19bo339b2obob2o$358bobobo3bo$15b2o349bo$16bo343bo3b3o$
362bo$12b2o288bo57bob2o$13bo289bo56bo$299bo3bo54bob2o$9b2o289b4o54bo$
10bo345bob2o$356bo$6b2o346bob2o$7bo346bo$352bob2o$3b2o347bo$4bo345bob
2o$209bo140bo$2o208bo137bob2o$bo204bo3bo137bo$207b4o135bob2o$346bo$
344bob2o$344bo$342bob2o$342bo$340bob2o$340bo$338bob2o$338bo$336bob2o$
336bo$334bob2o$334bo$332bob2o$332bo$330bob2o$330bo$328bob2o$328bo$326b
ob2o$326bo$324bob2o$324bo$322bob2o$322bo$181bo138bob2o$179bo3bo136bo$
178bo139bob2o$178bo4bo20b3o2bo108bo$178b5o20bob2obo2b2o103bob2o$187b2o
13b2ob3o3b4obo99bo$184bob5o2b2o6b4obobo2bob5o96bob2o$183bo7b4o5bo3bob
4o4bo4bo94bo$183bo10bo4b2o2bo2bo4bo6bo93bob2o$183b3o7b2ob3obo2bo3b5o3b
o2bo3bo3bo85bo$182bo3bo2b3o9b2o5bo6bo2bo2bobobobo82bob2o$182bo3bo2b3o
9b2o5bo6bo2bo2bobobobo82bo$183b3o7b2ob3obo2bo3b5o3bo2bo3bo3bo81bob2o$
183bo10bo4b2o2bo2bo4bo6bo89bo$183bo7b4o5bo3bob4o4bo4bo86bob2o$184bob5o
2b2o6b4obobo2bob5o11bo76bo$187b2o13b2ob3o3b4obo7bo6bo72bob2o$178b5o14b
obo3bob2obo2b2o11bo79bo$178bo4bo12bo2bo4b3o2bo9b3o2bo6bo5b6o59bob2o$
178bo16b2o22b3o3b6o6bo5bo58bo$179bo3bo10bo20b2o3b2o15bo62bob2o$181bo
11b4o17b2ob2o19bo4bo56bo$192bo4bo17b6o19b2o56bob2o$192bo2bo20b3o3bo75b
o$192bo2bo22bo21b2obob2o49bob2o$193bo24bo3bo16bo3bobobo48bo$194b4obo
18b4o17bo54bob2o$195bo3bo39b3o3bo48bo$196bo46bo48bob2o$196bobo43b2obo
46bo$245bo44bob2o$195b3o46b2obo42bo$195b2o50bo40bob2o$195b3o48b2obo38b
o$249bo36bob2o$196bobo49b2obo34bo$196bo2bo51bo32bob2o$195bo54b2obo30bo
$196bobo54bo28bob2o$196b2o54b2obo26bo$195b2o58bo24bob2o$194bo2b2o55b2o
bo22bo$193bo3b2o58bo20bob2o$193bo3b3o56b2obo6b2o10bo$193bo3bobo59bo4bo
11bob2o$194bo63b2obobo3bo8bo$195b4o62bo3b2o7bob2o$199bo60b2obobo8bo$
193b3obo64b2o4bobobob2o$193bo2b2obo63bo4bo3bo$192bo2bobo64b2o2bobobob
2o$192b2o3b3o63b2o3bob2o$264b3ob3o$192bobo2bo67bo$191b2o4b2obo$192b2o$
193b5obo$194bobo$197b3o$197bo$199b3o$199bo$201b3o$201bo$203b3o$203bo$
205b3o$205bo$207b3o$207bo$209b3o$209bo$211b3o$211bo$213b3o$213bo$215b
3o$215bo$217b3o$217bo$219b3o$219bo$221b3o$221bo$223b3o$223bo$225b3o$
225bo$227b3o$227bo$229b3o$229bo$231b3o$231bo$233b3o$233bo$235b3o$235bo
$237b3o$237bo$239b3o$239bo$241b3o$241bo$243b3o$243bo$245b3o$245bo$247b
3o$247bo$249b3o$249bo$251b3o$251bo$253b3o5bo$253bo8bo$255b3obob2o$255b
o$257b2o2b2o2bobo$257bo10bo$259bo2bobo3bo$259bo2bobo3bo$259b3o6bo$265b
o2bo$266b3o!
I haven't run it to completion, but I think this is infinite growth. I tried it with only three blocks in the counter, and after they were gone the glider stream eventually punched its way through the debris. So it was growing logarithmically from that point on.

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dvgrn
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Re: Non-totalistic CA Growth Challenge

Post by dvgrn » January 5th, 2018, 2:18 pm

Macbi wrote:
calcyman wrote:In terms of Fig index, this variant is much better (somewhere between 10^16 and 10^17)...
I haven't run it to completion, but I think this is infinite growth. I tried it with only three blocks in the counter, and after they were gone the glider stream eventually punched its way through the debris. So it was growing logarithmically from that point on.
I got the same result, replacing the caber tosser with a high-period p30N gun after a few cycles. The glider stream punched through the initial debris, and formed a crystal growing back from the diagonal debris below. But when the crystal got back to the debris it collapsed and punched through the diagonal line immediately after.

In the real pattern this would only happen at O(log(immediately)) plus a big constant, but still it's a problem. Seems trivial to fix, though -- just add a little extra junk so that the caber tosser's gun is destroyed, as presumably it was supposed to be:

Code: Select all

x = 369, y = 464, rule = B3/S23
150bo$151bob2obobo$145b3o3b4o3bo$151bo2b2ob2o$150bo$148b3o$148b3o17bo$
168b2o3$133bo$133bo$133bo$136b2o$136b2o38bo$131bo3b3o38b2o$132b3o$133b
o$132b2o$132b3o$134bo8bo11bobo$132bo8b2ob2o10b2o$134bo9b2o10bo27bo$
132b3o6b3o40b2o$143bo3bo$142bo3bo$124bo18b3obo$125bob2obobo12b2o$119b
3o3b4o3bo11bobo$125bo2b2ob2o12bo26b2o2bo$124bo19b2o29bobo$122b3o18b3o
28bo$122b3o18bob2o$142b5o29b2o2$177b2o$176bo$174b2ob2o$177b2o$162bo12b
o$162bo$164bo5bo$138b4o21bo6bobo$142bo19bo3bo2bo$124bob2ob2o7bo4bo19bo
2bobob2o$123b5o2b2o7b2obo25bob2o$123bo2b3obo10bo$129bo5$130b2o$131bo2$
146b2o2bo$149bobo84b2o$148bo87b2o2$150b2o$138b2o$139bo11b2o$150bo$148b
2ob2o$151b2o$149bo2$234b2o3b2o$146b2o$147bo87bo3bo$236b3o$236b3o6$233b
o5bo$232bo5b3o$232b3o3b3o2$236b2o3b2o$236b2o3b2o6$236b2o8bo$237bo6b3o$
234b3o6bo$234bo8b2o$188bo$188b3o$191bo$190b2o32bo$222b3o$221bo16b2o3b
2o$221b2o15bo5bo2$235b2o2bo3bo$234b2o4b3o$236bo3$226b2o$227b2o$217b5o
4bo$216bob3obo16bo$217bo3bo15b2ob2o$218b3o$219bo16bo5bo$220b2o$220bobo
13b2obob2o$220bobo$221bo3$218b2obob2o$192b2o24bo5bo$193bo25bo3bo$220b
3o$189b2o47b2o$190bo47b2o2$186b2o$187bo2$183b2o$184bo36b2o$221b2o$180b
2o$181bo2$177b2o$178bo2$174b2o$175bo2$171b2o$172bo2$168b2o$169bo2$165b
2o$166bo2$162b2o$163bo2$159b2o$160bo2$156b2o$157bo2$153b2o$154bo2$150b
2o$151bo2$147b2o$148bo2$144b2o$145bo2$141b2o$142bo2$138b2o$139bo2$135b
2o$136bo2$132b2o$133bo2$129b2o$130bo2$126b2o$127bo2$123b2o$124bo2$120b
2o$121bo2$117b2o$118bo2$114b2o$115bo2$111b2o$112bo2$108b2o$109bo2$105b
2o$106bo2$102b2o$103bo$283bo$99b2o183bo$100bo179bo3bo$281b4o$96b2o$97b
o2$93b2o$94bo2$90b2o$91bo2$87b2o$88bo2$84b2o$85bo2$81b2o$82bo2$78b2o$
79bo2$75b2o$76bo2$72b2o$73bo2$69b2o$70bo2$66b2o$67bo2$63b2o$64bo2$60b
2o$61bo2$57b2o$58bo2$54b2o$55bo2$51b2o$52bo2$48b2o$49bo$38b2o$38bo6b2o
$46bo2$42b2o$43bo2$39b2o$40bo298bo$340bo$36b2o298bo3bo$37bo299b4o2$33b
2o$34bo301bo$337bo$30b2o306bo$31bo306bo$337b2o$27b2o$28bo2$24b2o313bo$
25bo314bo22b6o$336bo3bo21bo5bo$21b2o314b4o27bo$22bo339bo4bo$364b2o$18b
2o$19bo339b2obob2o$358bobobo3bo$15b2o349bo$16bo343bo3b3o$362bo$12b2o
288bo57bob2o$13bo289bo56bo$299bo3bo54bob2o$9b2o289b4o54bo$10bo345bob2o
$356bo$6b2o346bob2o$7bo346bo$352bob2o$3b2o347bo$4bo345bob2o$209bo140bo
$2o208bo137bob2o$bo204bo3bo137bo$207b4o135bob2o$346bo$344bob2o$344bo$
342bob2o$342bo$340bob2o$340bo$338bob2o$338bo$336bob2o$336bo$334bob2o$
334bo$332bob2o$332bo$330bob2o$330bo$328bob2o$328bo$326bob2o$326bo$324b
ob2o$324bo$322bob2o$322bo$181bo138bob2o$179bo3bo136bo$178bo139bob2o$
178bo4bo20b3o2bo108bo$178b5o20bob2obo2b2o103bob2o$187b2o13b2ob3o3b4obo
99bo$184bob5o2b2o6b4obobo2bob5o96bob2o$183bo7b4o5bo3bob4o4bo4bo94bo$
183bo10bo4b2o2bo2bo4bo6bo93bob2o$183b3o7b2ob3obo2bo3b5o3bo2bo3bo3bo85b
o$182bo3bo2b3o9b2o5bo6bo2bo2bobobobo82bob2o$182bo3bo2b3o9b2o5bo6bo2bo
2bobobobo82bo$183b3o7b2ob3obo2bo3b5o3bo2bo3bo3bo81bob2o$183bo10bo4b2o
2bo2bo4bo6bo89bo$183bo7b4o5bo3bob4o4bo4bo86bob2o$184bob5o2b2o6b4obobo
2bob5o11bo76bo$187b2o13b2ob3o3b4obo7bo6bo72bob2o$178b5o14bobo3bob2obo
2b2o11bo79bo$178bo4bo12bo2bo4b3o2bo9b3o2bo6bo5b6o59bob2o$178bo16b2o22b
3o3b6o6bo5bo58bo$179bo3bo10bo20b2o3b2o15bo62bob2o$181bo11b4o17b2ob2o
19bo4bo56bo$192bo4bo17b6o19b2o56bob2o$192bo2bo20b3o3bo75bo$192bo2bo22b
o21b2obob2o49bob2o$193bo24bo3bo16bo3bobobo48bo$194b4obo18b4o17bo54bob
2o$195bo3bo39b3o3bo48bo$196bo46bo48bob2o$196bobo43b2obo46bo$245bo44bob
2o$195b3o46b2obo42bo$195b2o50bo40bob2o$195b3o48b2obo38bo$249bo36bob2o$
196bobo49b2obo34bo$196bo2bo51bo32bob2o$195bo54b2obo30bo$196bobo54bo28b
ob2o$196b2o54b2obo26bo$195b2o58bo24bob2o$194bo2b2o55b2obo22bo$193bo3b
2o58bo20bob2o$193bo3b3o56b2obo6b2o10bo$193bo3bobo59bo4bo11bob2o$194bo
63b2obobo3bo8bo$195b4o62bo3b2o7bob2o$199bo60b2obobo8bo$193b3obo64b2o4b
obobob2o$193bo2b2obo63bo4bo3bo$192bo2bobo64b2o2bobobob2o$192b2o3b3o63b
2o3bob2o$264b3ob3o$192bobo2bo67bo$191b2o4b2obo$192b2o$193b5obo$194bobo
$197b3o$197bo$199b3o$199bo$201b3o$201bo$203b3o$203bo$205b3o$205bo$207b
3o$207bo$209b3o$209bo$211b3o$211bo$213b3o$213bo$215b3o$215bo$217b3o$
217bo$219b3o$219bo$221b3o$221bo$223b3o$223bo$225b3o$225bo$227b3o$227bo
$229b3o$229bo$231b3o$231bo$233b3o$233bo$235b3o$235bo$237b3o$237bo$239b
3o$239bo$241b3o$241bo$243b3o$243bo$245b3o$245bo$247b3o$247bo$249b3o$
249bo$251b3o$251bo$253b3o5bo$253bo8bo$255b3obob2o$255bo$257b2o2b2o2bob
o$257bo10bo$259bo2bobo3bo$259bo2bobo3bo$259b3o6bo$265bo2bo$266b3o!
Or probably just re-timing the caber tosser relative to the breeder-with-shutdown device, or moving it up or down the wick a little bit, would do the trick.

However, this whole type of engineered pattern seems susceptible to being disqualified due to the "no adjustability" rule. The adjustability in this case is that you can add blocks to the logarithmic delay counter to get a bigger final population.

The first thing I thought of along these lines was to add a big pile of quadri-Snarks to Macbi's quadratic-growth pattern, such that the output from the quadri-Snarks would carefully knock out one glider from the splitter construction recipe -- after a few million construction cycles, let's say.

I'm not sure what exactly would happen there, actually. In a few cases all those streams would punch through the ring of explosions around the outside, and you'd end up with linear growth. But if the single-channel recipe is interrupted while some constructors are pointed inward toward other constructors, I think you'd pretty definitely get a Death-Star-sized implosion that would sooner or later knock out the central gun. There might even be some implosions that wouldn't release any gliders, though I wouldn't count on that working out.

I didn't try to build an actual example, mostly because it seemed like it would be disqualified by the "no adjustability" rule, and also partly because Golly has a tough enough time simulating the basic quadratic-growth pattern. Also the growth rate is so slow that it would probably be hard to get a competitive Fig score in any case.

With a little redesign of the recipe, Golly could probably handle everything up to the very end, but the final chaotic implosion would suddenly need petabytes of memory to hold the pattern... So probably this is only interesting as a thought experiment.

Might be better off just carving out an empty area in the middle of a standard spacefiller, and dropping in a compact ultra-high-period gun. The initial population will be kind of high, but the final population will make up for it... oops, except the odds might favor switch engines getting produced around the chaotic border. These thought-experiment mega-Fig patterns are a real pain sometimes.

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calcyman
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Re: Non-totalistic CA Growth Challenge

Post by calcyman » January 5th, 2018, 2:40 pm

Macbi and dvgrn, thanks for noticing (and repairing!) that slight oversight.

Rather than create a cavity within a spacefiller, it's easier to place a gun near a Halfmax. That was my original idea, but it's difficult (mpossible?) to determine the long-term fate of an exploding spacefiller; in particular, it could easily radiate a switch-engine. By comparison, the Riley-breeder-plus-caber-tosser-and-nonfiller-quadrants can be run in HashLife to completion.
What do you do with ill crystallographers? Take them to the mono-clinic!

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gmc_nxtman
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Re: Non-totalistic CA Growth Challenge

Post by gmc_nxtman » January 5th, 2018, 8:56 pm

10-cell monolith predecessor with a fig index of 63.231:

Code: Select all

x = 17, y = 2, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
obob2o9b2o$obobo11bo!
EDIT: Probably the smallest so far, 8-cell monolith predecessor with a fig index of 48.517

Code: Select all

x = 9, y = 2, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
2b2o3b2o$obo2bo2bo!

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dvgrn
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Re: Non-totalistic CA Growth Challenge

Post by dvgrn » January 5th, 2018, 11:31 pm

calcyman wrote:Rather than create a cavity within a spacefiller, it's easier to place a gun near a Halfmax.
Ah, right, that's a much better idea, especially in terms of initial population.
calcyman wrote:That was my original idea, but it's difficult (impossible?) to determine the long-term fate of an exploding spacefiller; in particular, it could easily radiate a switch-engine.
Yeah, I could maybe come up with a probabilistic argument for some cases, where the wavefront of collapse along the diagonal edges develops some periodicity, and you end up with a very wide band of known ash along the edges:

Code: Select all

#C random example of periodic collapse waves developing
#C (will need Golly)
x = 10241, y = 98, rule = B3/S23
5119b2ob2o$5118bobobobo$5118bobobobo$5116b2obo2bob2o$5115bobo4bo$5114b
o3bobobob2o$5114b3obobobo2bo$5117bo2bo2b2o$5114b2o$5113bo2b3o3b3o$
5113bobo9bobo$5114bobob2ob2obob2o$5116bob2ob2obo$5116bobo3bobo$5117bo
5bo2$5115b11o$5115bo2bobobo2bo2$5112b2o6bo6b2o$5112bobo3b5o3bobo$5110b
obob3o7b3obobo$5109bobobobo9bobobobo$5109bobobobob2o3b2obobobobo$5110b
o3bob2obobob2obo3bo$5118b2ob2o$5074b2o8bo34bobo34bo8b2o$2o5071b2o3bo4b
2o31b4ob4o31b2o4bo3b2o5071b2o$o5071b2o2b2o4bo3b3o27bo7bo27b3o3bo4b2o2b
2o5071bo$5073bo4b5obo4bo27b3ob3o27bo4bob5o4bo$5077bo4bobo71bobo4bo$
5074b2o3b2ob2obo3bo27b3ob3o27bo3bob2ob2o3b2o$5077b2o4bo73bo4b2o$5067b
5o3b2o5bo30b2o2b2o3b2o2b2o30bo5b2o3b5o$5067bo4b2obo2bo34b2o2b3ob3o2b2o
34bo2bob2o4bo$5067bo6bo42bobobobo42bo6bo$5068bo5b2obo41bobo41bob2o5bo$
5070b2o2bo3b2o35b4obob4o35b2o3bo2b2o$5073bo41b2o3bo3b2o41bo$5071b3o44b
2ob2o44b3o$5070bo8bo5bo5bo5bo5bo5bo5b3obobob3o5bo5bo5bo5bo5bo5bo8bo$
5070bo4bobo2b2o4b2o4b2o4b2o4b2o4b2o7bobo7b2o4b2o4b2o4b2o4b2o4b2o2bobo
4bo$5070bo3b2o2bob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob5obobob5ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2obo2b2o3bo$5071bo45bobobobo45bo$5072b45o3bo3b45o
2$5074b45o3b45o$5073bo45bobo45bo$5072bo3b44ob44o3bo$5069bobo2bo2bo85bo
2bo2bobo$5068bo2bobo4b85o4bobo2bo$5067b2o10bo81bo10b2o$5066bo13b81o13b
o$5065b4o12bo77bo12b4o$5064bo4bo12b77o12bo4bo$5064bo2bo15bo73bo15bo2bo
$5064bo2bo16b73o16bo2bo$5065bo19bo69bo19bo$5066b4obo14b69o14bob4o$
5067bo3bo15bo65bo15bo3bo$5068bo19b65o19bo$5068bobo18bo61bo18bobo$5090b
61o$5067b3o21bo57bo21b3o$5067b2o23b57o23b2o$5067b3o23bo53bo23b3o$5094b
53o$5068bobo24bo49bo24bobo$5068bo27b49o27bo$5067bo3bo25bo45bo25bo3bo$
5066b4obo26b45o26bob4o$5065bo33bo41bo33bo$5064bo2bo32b41o32bo2bo$5064b
o2bo33bo37bo33bo2bo$5064bo4bo32b37o32bo4bo$5065b4o34bo33bo34b4o$5066bo
37b33o37bo$5067b2o36bo29bo36b2o$5068bo2bo34b29o34bo2bo$5069bobo35bo25b
o35bobo$5108b25o$5109bo21bo$5110b21o$5111bo17bo$5112b17o$5113bo13bo$
5114b13o$5115bo9bo$5116b9o$5120bo$5117b3ob3o$5118bo3bo$5117bobobobo$
5117bobobobo$5116bo7bo$5116bo7bo$5116bo2bobo2bo$5116b3o3b3o!
... At first, anyway. But there's no telling for sure how far the central chaos will spread, so it's only a crackpot guess that nothing would get through to make a switch engine.

In other news, here's an Organized Explosion seed with a finite bounding box, with a Fig rating that was sort of respectable yesterday. Fig=1062014/6922/28 = ~5.479, I believe. Seems like much bigger Fig ratings would come out of a long enough search -- probably not big enough to be a contender against other rules, but I like these patterns better than the plain solid-fill crystal ones.

Code: Select all

x = 8, y = 8, rule = B2-a5/S1e2-a35678
bo2b2o$b3obobo$o2b2obo$o2b2o$3b5o$b2o4bo$5b2o$bobobobo!
#C [[AUTOFIT AUTOSTART STEP 50 ]]
Aren't there any more methuseblobbish Life-like rules, with growing blobs with less predictable central fill, that can sometimes stop growing at random (but not shrink to nothing)? Maybe what's really wanted is a rule that often explodes, but sometimes gets stuck...?

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gmc_nxtman
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Re: Non-totalistic CA Growth Challenge

Post by gmc_nxtman » January 6th, 2018, 12:40 am

Largest monolith so far, FI 1658697, Fig index is only 55.205, but the final pop. is 53 million cells:

Code: Select all

x = 31, y = 2, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
bo5b6ob3o3b5obobobo$obobobo2bobobob2o2b2o3bob2o!
FI 1062858, Fig index 95.093, final pop. is almost 14 million cells:

Code: Select all

x = 13, y = 2, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
2o2bo2bobo2bo$2bob2o2b3obo!
EDIT: 9-cell monolith predecessor, FI 735751, Fig index 68.878:

Code: Select all

x = 13, y = 2, rule = B2-ae3-ik4ai5a6ai78/S2a3-j4a5aijn6acn78
bo6bo2b2o$obobobo3bo!
I find these fun to search for, but are admittedly becoming quite predictable...

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Re: Non-totalistic CA Growth Challenge

Post by Saka » January 6th, 2018, 10:50 pm

Beautiful Fig Index 6.043 crystal

Code: Select all

x = 12, y = 14, rule = B2-ae3-ik4ai6ai78/S2a3-j4a5aijn6acn78
7bo$6bo$6bo2bo$6b2o$3bo2b2o2b2o$3bo3b2ob2o$5bo$2bo4b2o$3bobo3bo$bo8bo$
o3bo$9bo$3bo2bo$3b3o2bo!
Image

Fig Index 6.119

Code: Select all

x = 10, y = 10, rule = B2-ae3-ik4ai6ai78/S2a3-j4a5aijn6acn78
bob3o2bo$2bobobob2o$3b3o$bo4bo$b2o6bo$bo6bo$3bo4b2o$bo6b2o$2o3bobo$3bo
3b3o!
Fig Index 9.663 in a new rule where linear growth is common

Code: Select all

x = 13, y = 10, rule = B2-ae3-ik4aiz6ai78/S2a3-j4a5aijn6acn78
6bo$3b2o$4b2ob2o$2o7bobo$o3bobobo2bo$o11bo$2bo8bo$5b2ob2o$4bob3o$7bo!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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