Difference between revisions of "Talk:Still life"

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(reply to an old comment that's probably going to get buried, and a new finding that A019473 and A056613 may be slightly faster than exponential)
 
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== Too many still lifes in the Wiki? ==
 
== Too many still lifes in the Wiki? ==
  
I personally think there should be less still lifes in the wiki. The wiki shouldn't be a pattern database but more of a place to learn more about CGOL and related Cellular Automata. I find it strange that there are incomplete lists of 26-bit still lifes (of which Mickey Mouse is not the only one). There should either be a complete list of such still lifes or no list at all. Any thoughts? [[User:Gmc_nxtman|Gmc_nxtman]][[User talk:Gmc_nxtman|(talk]]
+
I personally think there should be less still lifes in the wiki. The wiki shouldn't be a pattern database but more of a place to learn more about CGOL and related Cellular Automata. I find it strange that there are incomplete lists of 26-bit still lifes (of which Mickey Mouse is not the only one). There should either be a complete list of such still lifes or no list at all. Any thoughts? [[User:Gmc_nxtman|Gmc_nxtman]]([[User talk:Gmc_nxtman|talk]])
 +
 
 +
: Agreed. (It's worth noting that since this comment was made, the 11- and 12-bit still lifes have all been filled in, by [[User:Apple Bottom]] and [[User:AwesoMan3000]] respectively) Perhaps we could instead turn these into a list, e.g. [[List of still lifes up to 10 bits]], [[List of 11-bit still lifes]], [[List of 12-bit still lifes]], etc.? [[User:Ian07|Ian07]] ([[User talk:Ian07|talk]]) 18:15, 14 February 2020 (UTC)
 +
 
 +
== Not actually exponential? ==
 +
Okay, so I just calculated the ratios between terms in {{OEIS|A019473}} and {{OEIS|A056613}} and they suggest that the growth rates for strict and pseudo still lifes might be slightly ''faster'' than exponential:
 +
 
 +
<div class="mw-collapsible mw-collapsed">
 +
Click on "Expand" to the right to view strict still life ratios:
 +
<div class="mw-collapsible-content">
 +
0.5
 +
 
 +
5.0
 +
 
 +
0.8
 +
 
 +
2.25
 +
 
 +
1.1111111111111112
 +
 
 +
2.5
 +
 
 +
1.84
 +
 
 +
2.630434782608696
 +
 
 +
1.9834710743801653
 +
 
 +
2.5791666666666666
 +
 
 +
2.1857835218093697
 +
 
 +
2.4286770140428677
 +
 
 +
2.3654899573950092
 +
 
 +
2.4500192975685064
 +
 
 +
2.4028040327662255
 +
 
 +
2.452916366179331
 +
 
 +
2.433897882273282
 +
 
 +
2.4604741057440296
 +
 
 +
2.4489966853721965
 +
 
 +
2.461342759789982
 +
 
 +
2.4610159309648316
 +
 
 +
2.468997712151491
 +
 
 +
2.470541027007787
 +
 
 +
2.476253015963959
 +
 
 +
2.4777978194826633
 +
 
 +
2.4815012396186904
 +
 
 +
2.483202673807253
 +
 
 +
2.486044234946105
 +
 
 +
2.4880173125038354
 +
 
 +
2.490382071335885
 +
</div></div>
 +
 
 +
<div class="mw-collapsible mw-collapsed">
 +
For pseudo still lifes, it's admittedly less clear, but towards the end the sequence reaches about 2.59, higher than the 2.56 claimed in the article:
 +
<div class="mw-collapsible-content">
 +
1.0
 +
 
 +
7.0
 +
 
 +
2.2857142857142856
 +
 
 +
3.4375
 +
 
 +
2.0
 +
 
 +
2.536363636363636
 +
 
 +
2.2222222222222223
 +
 
 +
2.653225806451613
 +
 
 +
2.472340425531915
 +
 
 +
2.666092943201377
 +
 
 +
2.5131421193396664
 +
 
 +
2.592183486238532
 +
 
 +
2.534238430284412
 +
 
 +
2.5813274044611783
 +
 
 +
2.5642023346303504
 +
 
 +
2.5902452733689936
 +
 
 +
2.5761903598245106
 +
 
 +
2.5881007391728206
 +
 
 +
2.5810271122792963
 +
 
 +
2.5873676413885005
 +
 
 +
2.584597222664841
 +
 
 +
2.587994946601949
 +
 
 +
2.587111291733172
 +
 
 +
2.589244058858992
 +
 
 +
2.5888687424002716
 +
 
 +
2.590116926254982
 +
</div></div>
 +
 
 +
[[User:Ian07|Ian07]] ([[User talk:Ian07|talk]]) 18:15, 14 February 2020 (UTC)

Latest revision as of 18:15, 14 February 2020

The 2 links to the Sloane sequences are broken, could somebody else fix them, here are the respective links:

https://oeis.org/A019473

https://oeis.org/A056613

flipper77 (talk) 05:06, 12 February 2015 (UTC)

Thanks, I've fixed them (and lowered the protection of this article). Nathaniel (talk) 04:03, 13 February 2015 (UTC)

Too many still lifes in the Wiki?

I personally think there should be less still lifes in the wiki. The wiki shouldn't be a pattern database but more of a place to learn more about CGOL and related Cellular Automata. I find it strange that there are incomplete lists of 26-bit still lifes (of which Mickey Mouse is not the only one). There should either be a complete list of such still lifes or no list at all. Any thoughts? Gmc_nxtman(talk)

Agreed. (It's worth noting that since this comment was made, the 11- and 12-bit still lifes have all been filled in, by User:Apple Bottom and User:AwesoMan3000 respectively) Perhaps we could instead turn these into a list, e.g. List of still lifes up to 10 bits, List of 11-bit still lifes, List of 12-bit still lifes, etc.? Ian07 (talk) 18:15, 14 February 2020 (UTC)

Not actually exponential?

Okay, so I just calculated the ratios between terms in OEISicon light 11px.pngA019473 and OEISicon light 11px.pngA056613 and they suggest that the growth rates for strict and pseudo still lifes might be slightly faster than exponential:

Click on "Expand" to the right to view strict still life ratios:

0.5

5.0

0.8

2.25

1.1111111111111112

2.5

1.84

2.630434782608696

1.9834710743801653

2.5791666666666666

2.1857835218093697

2.4286770140428677

2.3654899573950092

2.4500192975685064

2.4028040327662255

2.452916366179331

2.433897882273282

2.4604741057440296

2.4489966853721965

2.461342759789982

2.4610159309648316

2.468997712151491

2.470541027007787

2.476253015963959

2.4777978194826633

2.4815012396186904

2.483202673807253

2.486044234946105

2.4880173125038354

2.490382071335885

For pseudo still lifes, it's admittedly less clear, but towards the end the sequence reaches about 2.59, higher than the 2.56 claimed in the article:

1.0

7.0

2.2857142857142856

3.4375

2.0

2.536363636363636

2.2222222222222223

2.653225806451613

2.472340425531915

2.666092943201377

2.5131421193396664

2.592183486238532

2.534238430284412

2.5813274044611783

2.5642023346303504

2.5902452733689936

2.5761903598245106

2.5881007391728206

2.5810271122792963

2.5873676413885005

2.584597222664841

2.587994946601949

2.587111291733172

2.589244058858992

2.5888687424002716

2.590116926254982

Ian07 (talk) 18:15, 14 February 2020 (UTC)