Difference between revisions of "List of long-lived methuselahs"

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This is a '''list of the long-lived [[methuselah]]s''' in the [[Conway's Game of Life|Game of Life]]. This list may change as new methuselahs are discovered.
This is a '''list of [[methuselah]]s''' in the [[Conway's Game of Life|Game of Life]]. This list may change as new methuselahs are discovered.


{| class="sortable wikitable"
{| class="sortable wikitable"
Line 6: Line 6:
! Pattern
! Pattern
! Bounding box
! Bounding box
! MCPS{{refn|group=note|Minimum covering [[polyplet]] size; the minimum size of any polyplet covering all the life cells of the methuselah.}}
! [[MCPS]]
! Initial [[population]] (I)
! Initial [[population]] (I)
! Final population (F)
! Final population (F)
Line 13: Line 13:
! F/L
! F/L
! L/MCPS
! L/MCPS
|-
! 42883
| [[Homer]]<ref name="post66055" />
| 16&times;16
| 131
| 129
| 4333
| 332.4
| 33.6
| 0.101
| 327.4
|-
! 42100
| [[42100M]]<ref name="post65218" />
| 16&times;16
| 135
| 130
| 4884
| 323.8
| 37.6
| 0.116
| 311.9
|-
|-
! 40514
! 40514
Line 20: Line 42:
| 18
| 18
| 3735
| 3735
| 2230.8
| 2250.8
| 207.5
| 207.5
| 0.093
| 0.092
| 389.6
| 389.6
|-
! 39693
| [[Wilma]]<ref name="post65124" />
| 20&times;20
| 201
| 197
| 3524
| 201.5
| 17.9
| 0.089
| 197.5
|-
|-
! 35426
! 35426
Line 57: Line 90:
| 0.166
| 0.166
| 532.7
| 532.7
|-
! 32829
| [[32829M]]<ref name="post3604" />
| 31&times;23
| 47
| 15
| 3413
| 2188.6
| 227.5
| 0.104
| 698.5
|-
|-
! 31192
! 31192
Line 114: Line 159:
|-
|-
! 29055
! 29055
| [[Lidka]]
| [[Lidka]] (Bell's grandparent)
| 9&times;15
| 9&times;15
| 21
| 21
Line 123: Line 168:
| 0.056
| 0.056
| 1383.6
| 1383.6
|-
! 29053
| [[Lidka]] (original)
| 9&times;15
| 21
| 13
| 1623
| 2234.8
| 124.8
| 0.056
| 1383.5
|-
|-
! 28786
! 28786
Line 134: Line 190:
| 0.107
| 0.107
| 685.4
| 685.4
|-
! 27732
| [[27732M]]<ref name="post46952" />
| 12&times;3
| 20
| 18
| 2923
| 1540.7
| 162.4
| 0.105
| 1386.6
|-
! 27406
| [[27406M]]<ref name="post42546" />
| 6&times;6
| 20
| 20
| 2276
| 1370.3
| 113.8
| 0.083
| 1370.3
|-
! 26659
| [[26659M]]<ref name="post42546" />
| 8&times;5
| 17
| 16
| 3496
| 1666.2
| 218.5
| 0.131
| 1568.2
|-
|-
! 26458
! 26458
Line 145: Line 234:
| 0.134
| 0.134
| 661.5
| 661.5
|-
! 25567
| [[25567M]]<ref name="post41972" />
| 6&times;6
| 18
| 18
| 2774
| 1420.4
| 154.1
| 0.108
| 1420.4
|-
! 25415
| [[25414M]]<ref name="post42546" />
| 11&times;3
| 23
| 23
| 2012
| 1105
| 87.5
| 0.079
| 1105
|-
! 25306
| [[25306M]]<ref name="post41972" />
| 10&times;4
| 17
| 14
| 3274
| 1807.6
| 233.9
| 0.129
| 1488.6
|-
! 24827
| [[24827M]]<ref name="post41471" />
| 8&times;7
| 16
| 13
| 5151
| 1909.8
| 396.2
| 0.207
| 1551.7
|-
! 23662
| [[23662M]]<ref name="post42292" />{{refn|group=note|The longest-lasting methuselah not exceeding a 16&times;2 bounding box.}}
| 16&times;2
| 21
| 20
| 2611
| 1183.1
| 130.5
| 0.110
| 1126.8
|-
! 23354
| [[Blom]] (23354 generation variant)<ref name="post41276" />
| 7&times;6
| 17
| 14
| 2740
| 1668.1
| 195.7
| 0.117
| 1373.8
|-
! 23349
| [[Blom]] predecessor<ref name="post41728" />
| 6&times;6
| 18
| 16
| 2740
| 1459.3
| 171.3
| 0.117
| 1297.2
|-
|-
! 23334
! 23334
Line 167: Line 333:
| 0.124
| 0.124
| 1666.7
| 1666.7
|-
! 23317
| [[Blom]] (15&times;2 variant)<ref name="post42292" />
| 15&times;2
| 19
| 18
| 2740
| 1295.4
| 152.2
| 0.118
| 1227.2
|-
! 23315
| [[Blom]] (12-cell variant)<ref name="post41276" />
| 13&times;4
| 16
| 12
| 2740
| 1942.9
| 228.3
| 0.118
| 1457.2
|-
|-
! 23314
! 23314
Line 178: Line 366:
| 0.118
| 0.118
| 1371.4
| 1371.4
|-
! 23313
| [[Blom]] (11&times;3 variant)<ref name="post41276" />
| 11&times;3
| 15
| 13
| 2740
| 1793.3
| 210.8
| 0.118
| 1554.2
|-
|-
! 18034
! 18034
Line 200: Line 399:
| 0.134
| 0.134
| 1185.2
| 1185.2
|-
! 17670
| [[Bunnies]] variant<ref name="post41728" />
| 6&times;6
| 18
| 16
| 1753
| 1104.4
| 109.6
| 0.099
| 981.7
|-
|-
! 17465
! 17465
Line 255: Line 465:
| 0.101
| 0.101
| 1733.1
| 1733.1
|-
! 14911
| [[14911M]]<ref name="post42292" />{{refn|group=note|The longest-lasting methuselah not exceeding a 40&times;1 bounding box.}}
| 38&times;1
| 38
| 27
| 3554
| 552.3
| 131.6
| 0.238
| 392.4
|-
|-
! 7468
! 7468
Line 266: Line 487:
| 0.127
| 0.127
| 829.8
| 829.8
|-
! 6929
| [[Jaydot]]
| 3&times;6
| 10
| 9
| 1124
| 769.9
| 124.9
| 0.162
| 692.9
|-
|-
! 5206
! 5206
Line 332: Line 564:
| 0.105
| 0.105
| 220.6
| 220.6
|-
! 530
| [[Two-glider mess]]
| 6&times;6
| 11
| 10
| 72
| 53
| 7.2
| 0.136
| 48.2
|-
! 437
| [[F-heptomino]]
| 4&times;4
| 7
| 7
| 60
| 62.4
| 8.6
| 0.137
| 62.4
|-
! 343
| [[E-heptomino]]
| 4&times;3
| 7
| 7
| 51
| 49.0
| 7.3
| 0.149
| 49.0
|-
! 243
| [[Thunderbird]]
| 3&times;5
| 7
| 6
| 46
| 40.5
| 7.7
| 0.189
| 34.7
|-
! 191
| [[Queen bee]]
| 7&times;5
| 12
| 12
| 30
| 15.9
| 2.5
| 0.157
| 15.9
|-
! 184
| [[Gliders by the dozen]] (predecessor)
| 5&times;3
| 9
| 8
| 124
| 23
| 15.5
| 0.674
| 20.4
|-
! 177
| [[Gliders by the dozen]] (original form)
| 9&times;5
| 21
| 20
| 124
| 8.9
| 6.2
| 0.701
| 8.4
|-
! 173
| [[Pi-heptomino]]
| 3&times;3
| 7
| 7
| 55
| 24.7
| 7.9
| 0.318
| 24.7
|-
! 148
| [[B-heptomino]]
| 4&times;3
| 7
| 7
| 26
| 21.1
| 3.7
| 0.176
| 21.1
|-
! 148
| [[C-heptomino]]
| 4&times;3
| 7
| 7
| 26
| 21.1
| 3.7
| 0.176
| 21.1
|-
! 131
| [[Herschel great-grandparent]]
| 7&times;5
| 20
| 19
| 22
| 6.9
| 1.2
| 0.168
| 6.6
|-
! 130
| [[Herschel grandparent]]
| 5&times;4
| 8
| 7
| 22
| 18.6
| 3.1
| 0.169
| 16.3
|-
! 130
| [[Die hard]]
| 8&times;3
| 11
| 7
| 0
| 18.6
| 0
| 0
| 11.8
|-
! 129
| [[Herschel parent]]
| 5&times;4
| 7
| 6
| 22
| 21.5
| 3.7
| 0.171
| 18.4
|-
! 128
| [[Herschel]]
| 3&times;4
| 7
| 7
| 22
| 18.3
| 3.1
| 0.172
| 18.3
|-
! 106
| [[Block and glider]]
| 4&times;3
| 6
| 6
| 8
| 17.7
| 1.3
| 0.075
| 17.7
|-
! 103
| [[Century]]
| 4&times;3
| 6
| 6
| 15
| 17.2
| 2.5
| 0.146
| 17.2
|}
|}


Line 342: Line 761:
==References==
==References==
<references>
<references>
<ref name="post66055">{{LinkForumThread
|format    = ref
|author    = Adam P. Goucher
|date      = November 30, 2018
|p          = 66055
|title      = Re: Soup search results
|accessdate = December 3, 2018
}}</ref>
<ref name="post65218">{{LinkForumThread
|format    = ref
|author    = Ian07
|date      = October 31, 2018
|p          = 65218
|title      = Re: Soup search results
|accessdate = November 3, 2018
}}</ref>
<ref name="post30945">{{LinkForumThread
<ref name="post30945">{{LinkForumThread
|format    = ref
|format    = ref
Line 357: Line 792:
|accessdate = January 21, 2018
|accessdate = January 21, 2018
|p          = 40839
|p          = 40839
}}</ref>
<ref name="post41276">{{LinkForumThread
|format    = ref
|author    = Simon Ekström
|title      = Re: Long-lived methuselahs
|date      = March 5, 2017
|accessdate = January 21, 2018
|p          = 41276
}}</ref>
}}</ref>
<ref name="post41383">{{LinkForumThread
<ref name="post41383">{{LinkForumThread
Line 365: Line 808:
|accessdate = January 21, 2018
|accessdate = January 21, 2018
|p          = 41383
|p          = 41383
}}</ref>
<ref name="post41471">{{LinkForumThread
|format    = ref
|author    = Simon Ekström
|title      = Re: Long-lived methuselahs
|date      = March 10, 2017
|accessdate = January 21, 2018
|p          = 41471
}}</ref>
<ref name="post41728">{{LinkForumThread
|format    = ref
|author    = Simon Ekström
|title      = Re: Long-lived methuselahs
|date      = March 16, 2017
|accessdate = January 21, 2018
|p          = 41728
}}</ref>
<ref name="post41972">{{LinkForumThread
|format    = ref
|author    = Simon Ekström
|title      = Re: Long-lived methuselahs
|date      = March 23, 2017
|accessdate = January 21, 2018
|p          = 41972
}}</ref>
<ref name="post42292">{{LinkForumThread
|format    = ref
|author    = Simon Ekström
|title      = Re: Long-lived methuselahs
|date      = April 3, 2017
|accessdate = January 21, 2018
|p          = 42292
}}</ref>
<ref name="post42546">{{LinkForumThread
|format    = ref
|author    = Simon Ekström
|title      = Re: Long-lived methuselahs
|date      = April 10, 2017
|accessdate = January 21, 2018
|p          = 42546
}}</ref>
<ref name="post46952">{{LinkForumThread
|format    = ref
|author    = Simon Ekström
|title      = Re: Long-lived methuselahs
|date      = July 20, 2017
|accessdate = January 21, 2018
|p          = 46952
}}</ref>
<ref name="post3604">{{LinkForumThread
|format    = ref
|author    = Matthias Merzenich
|title      = Re: The Online Life-Like CA Soup Search
|date      = October 10th, 2010
|accessdate = February 13, 2018
|p          = 3604
}}</ref>
<ref name="post65124">{{LinkForumThread
|format    = ref
|author    = Rob Liston
|title      = Re: Soup search results
|date      = October 28th, 2018
|accessdate = October 28th, 2018
|p          = 65124
}}</ref>
}}</ref>
</references>
</references>
Line 371: Line 878:
{{LinkForumThread|p=55298|title=Re: Largest and oldest methuselah ever found!|author=Macbi|date=January 20, 2018}} (minimum covering polyplets)
{{LinkForumThread|p=55298|title=Re: Largest and oldest methuselah ever found!|author=Macbi|date=January 20, 2018}} (minimum covering polyplets)
*[http://pentadecathlon.com/lifeNews/2005/02/new_methuselah_records.html New Methuselah Records] at Game of Life News
*[http://pentadecathlon.com/lifeNews/2005/02/new_methuselah_records.html New Methuselah Records] at Game of Life News
[[Category:Everything else]]
[[Category:Everything else]]
 
[[Category:Methuselahs| List]]
__NOTOC__
__NOTOC__

Revision as of 08:27, 4 December 2018

This is a list of methuselahs in the Game of Life. This list may change as new methuselahs are discovered.

Lifespan (L) Pattern Bounding box MCPS Initial population (I) Final population (F) L/I F/I F/L L/MCPS
42883 Homer[1] 16×16 131 129 4333 332.4 33.6 0.101 327.4
42100 42100M[2] 16×16 135 130 4884 323.8 37.6 0.116 311.9
40514 40514M 78×54 104 18 3735 2250.8 207.5 0.092 389.6
39693 Wilma[3] 20×20 201 197 3524 201.5 17.9 0.089 197.5
35426 Fred 20×20 164 150 2924 236.2 19.5 0.083 216.0
35201 35201M 20×20 188 183 5828 192.4 31.8 0.166 187.2
35161 35161M 32×28 66 30 5823 1172.0 194.1 0.166 532.7
32829 32829M[4] 31×23 47 15 3413 2188.6 227.5 0.104 698.5
31192 Edna (original variant) 20×20 157 149 3602 209.3 24.2 0.115 198.7
31082 Edna (26-cell variant) 43×26 73 26 3602 1195.4 138.5 0.116 425.8
30872 Ed 20×20 163 151 2833 204.5 18.8 0.092 189.4
30046 Eve 16×10 26 20 3026 1502.3 151.3 0.101 1155.6
29126 Lidka predecessor[5] 9×6 15 13 1623 2240.5 124.8 0.056 1941.7
29055 Lidka (Bell's grandparent) 9×15 21 13 1623 2235.0 124.8 0.056 1383.6
29053 Lidka (original) 9×15 21 13 1623 2234.8 124.8 0.056 1383.5
28786 Iwona 20×21 42 19 3091 1515.1 162.7 0.107 685.4
27732 27732M[6] 12×3 20 18 2923 1540.7 162.4 0.105 1386.6
27406 27406M[7] 6×6 20 20 2276 1370.3 113.8 0.083 1370.3
26659 26659M[7] 8×5 17 16 3496 1666.2 218.5 0.131 1568.2
26458 Justyna 22×17 40 20 3548 1322.9 177.4 0.134 661.5
25567 25567M[8] 6×6 18 18 2774 1420.4 154.1 0.108 1420.4
25415 25414M[7] 11×3 23 23 2012 1105 87.5 0.079 1105
25306 25306M[8] 10×4 17 14 3274 1807.6 233.9 0.129 1488.6
24827 24827M[9] 8×7 16 13 5151 1909.8 396.2 0.207 1551.7
23662 23662M[10][note 1] 16×2 21 20 2611 1183.1 130.5 0.110 1126.8
23354 Blom (23354 generation variant)[11] 7×6 17 14 2740 1668.1 195.7 0.117 1373.8
23349 Blom predecessor[12] 6×6 18 16 2740 1459.3 171.3 0.117 1297.2
23334 23334M (11-cell equivalent)[13] 5×8 14 11 2898 2121.3 263.5 0.124 1666.7
23334 23334M 5×8 14 12 2898 1944.5 241.5 0.124 1666.7
23317 Blom (15×2 variant)[10] 15×2 19 18 2740 1295.4 152.2 0.118 1227.2
23315 Blom (12-cell variant)[11] 13×4 16 12 2740 1942.9 228.3 0.118 1457.2
23314 Blom 12×5 17 13 2740 1793.4 210.8 0.118 1371.4
23313 Blom (11×3 variant)[11] 11×3 15 13 2740 1793.3 210.8 0.118 1554.2
18034 18034M[13] 5×8 13 11 2305 1639.5 209.5 0.128 1387.2
17778 17778M[14] 7×7 15 12 2385 1481.5 198.8 0.134 1185.2
17670 Bunnies variant[12] 6×6 18 16 1753 1104.4 109.6 0.099 981.7
17465 Bunnies 11 6×4 12 11 1749 1587.7 159.0 0.100 1455.4
17423 Bunnies 10 6×6 12 10 1749 1742.3 174.9 0.100 1451.9
17410 Bunnies 9 8×7 12 9 1744 1934.4 193.8 0.100 1450.8
17332 Bunnies 8×4 11 9 1744 1925.8 193.8 0.101 1575.6
17331 Rabbits 7×3 10 9 1744 1925.7 193.8 0.101 1733.1
14911 14911M[10][note 2] 38×1 38 27 3554 552.3 131.6 0.238 392.4
7468 7468M 6×4 9 8 952 933.5 119.0 0.127 829.8
6929 Jaydot 3×6 10 9 1124 769.9 124.9 0.162 692.9
5206 Acorn 7×3 8 7 633 743.7 90.4 0.122 650.8
3933 Multum in parvo 6×4 7 7 633 561.9 90.4 0.161 561.9
3911 Switch engine 6×4 10 8 842 488.9 105.3 0.215 391.1
1108 R-pentomino relatives 6×3 7 6 116 184.7 19.3 0.105 158.3
1105 R-pentomino grandparents 4×3, 3×4, 4×4 5 5 116 221.0 23.2 0.105 221
1103 R-pentomino 3×3 5 5 116 220.6 23.2 0.105 220.6
530 Two-glider mess 6×6 11 10 72 53 7.2 0.136 48.2
437 F-heptomino 4×4 7 7 60 62.4 8.6 0.137 62.4
343 E-heptomino 4×3 7 7 51 49.0 7.3 0.149 49.0
243 Thunderbird 3×5 7 6 46 40.5 7.7 0.189 34.7
191 Queen bee 7×5 12 12 30 15.9 2.5 0.157 15.9
184 Gliders by the dozen (predecessor) 5×3 9 8 124 23 15.5 0.674 20.4
177 Gliders by the dozen (original form) 9×5 21 20 124 8.9 6.2 0.701 8.4
173 Pi-heptomino 3×3 7 7 55 24.7 7.9 0.318 24.7
148 B-heptomino 4×3 7 7 26 21.1 3.7 0.176 21.1
148 C-heptomino 4×3 7 7 26 21.1 3.7 0.176 21.1
131 Herschel great-grandparent 7×5 20 19 22 6.9 1.2 0.168 6.6
130 Herschel grandparent 5×4 8 7 22 18.6 3.1 0.169 16.3
130 Die hard 8×3 11 7 0 18.6 0 0 11.8
129 Herschel parent 5×4 7 6 22 21.5 3.7 0.171 18.4
128 Herschel 3×4 7 7 22 18.3 3.1 0.172 18.3
106 Block and glider 4×3 6 6 8 17.7 1.3 0.075 17.7
103 Century 4×3 6 6 15 17.2 2.5 0.146 17.2

See also

Notes

  1. The longest-lasting methuselah not exceeding a 16×2 bounding box.
  2. The longest-lasting methuselah not exceeding a 40×1 bounding box.

References

  1. Adam P. Goucher (November 30, 2018). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  2. Ian07 (October 31, 2018). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  3. Rob Liston (October 28th, 2018). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  4. Matthias Merzenich (October 10th, 2010). Re: The Online Life-Like CA Soup Search (discussion thread) at the ConwayLife.com forums
  5. Simon Ekström (March 8, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  6. Simon Ekström (July 20, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  7. 7.0 7.1 7.2 Simon Ekström (April 10, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  8. 8.0 8.1 Simon Ekström (March 23, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  9. Simon Ekström (March 10, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  10. 10.0 10.1 10.2 Simon Ekström (April 3, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  11. 11.0 11.1 11.2 Simon Ekström (March 5, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  12. 12.0 12.1 Simon Ekström (March 16, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  13. 13.0 13.1 Simon Ekström (May 13, 2016). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums
  14. Simon Ekström (February 22, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums

External links