List of long-lived methuselahs

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This is a list of notable methuselahs by lifespan in Conway's Game of Life. This list may change as new methuselahs are discovered.

Naturalistic methuselahs

The following methuselahs have been found via soup searches and other similar methods, and therefore do not have any "trick" to them. They generally become exponentially rarer as their lifespan increases.

Lifespan (L) Pattern Bounding box MCPS Initial population (I) Final population (F) L/I F/I F/L L/MCPS
52514 52514M[1] 16×16 103 98 5054 535.9 51.6 0.096 509.8
52513 52513M[2] 16×16 135 131 5054 400.9 38.6 0.096 389
52448 52448M[3][4] 11×35 47 25 5054 2097.9 202.2 0.096 1115.9
52446 52446M[5] 14×37 52 25 5054 2097.8 202.2 0.096 1008.6
52444 52444M[6] 12×37 49 24 5054 2185.2 210.6 0.096 1070.3
50752 50752M[7] 16×16 126 123 4792 412.6 39 0.094 402.8
50095 50095M[8] 16×16 119 112 5593 447.3 49.9 0.112 421
50093 50093M[9] 16×16 121 118 5593 424.5 47.4 0.112 414
50083 50083M[10] 26×20 77 59 5593 848.9 94.8 0.112 650.4
49769 49769M[11] 16×16 112 109 4333 456.6 39.8 0.087 444.4
49768 49768M[12] 16×16 124 117 4333 425.4 37 0.087 401.4
47575 47575M[13] 16×16 132 131 4054 363.2 30.9 0.085 360.4
47487 47487M 17×22 37 16 4054 2967.9 253.4 0.085 1283.4
42883 Homer[14] 16×16 131 129 4333 332.4 33.6 0.101 327.4
42100 42100M[15] 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[16] 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
35201 35201M 20×20 188 183 5828 192.4 31.8 0.166 187.2
35161 35161M 32×28 66 30 5823 1172 194.1 0.166 532.7
32829 32829M[17] 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 1195.5 138.5 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[18] 9×6 15 13 1623 2240.5 124.8 0.056 1941.7
29055 Lidka (Bell's grandparent) 9×15 21 13 1623 2235 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[19] 12×3 20 18 2923 1540.7 162.4 0.105 1386.6
27406 27406M[20] 6×6 20 20 2276 1370.3 113.8 0.083 1370.3
26659 26659M[20] 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[21] 6×6 18 18 2774 1420.4 154.1 0.108 1420.4
25415 25415M[20] 11×3 23 23 2012 1105 87.5 0.079 1105
25371 25371M[22] 118×12 119 10 2745 2537.1 274.5 0.108 213.2
25306 25306M[21] 10×4 17 14 3274 1807.6 233.9 0.129 1488.6
24827 24827M[23] 8×7 16 13 5151 1909.8 396.2 0.207 1551.7
23662 23662M[24][note 1] 16×2 21 20 2611 1183.1 130.6 0.11 1126.8
23354 Blom (23354 generation variant)[25] 7×6 17 14 2740 1668.1 195.7 0.117 1373.8
23349 Blom predecessor[26] 6×6 18 16 2740 1459.3 171.3 0.117 1297.2
23334 23334M (11-cell equivalent)[27] 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)[24] 15×2 19 18 2740 1295.4 152.2 0.118 1227.2
23315 Blom (12-cell variant)[25] 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)[25] 11×3 15 13 2740 1793.3 210.8 0.118 1554.2
22713 22713M[22] 105×90 109 10 1919 2271.3 191.9 0.084 208.4
18088 18088M[22] 39×78 85 10 3611 1808.8 361.1 0.2 212.8
18034 18034M[27] 5×8 13 11 2305 1639.5 209.5 0.128 1387.2
17778 17778M[28] 7×7 15 12 2385 1481.5 198.8 0.134 1185.2
17670 Bunnies variant[26] 6×6 18 16 1753 1104.4 109.6 0.099 981.7
17465 Bunnies 11 6×4 12 11 1749 1587.7 159 0.1 1455.4
17431 Bunnies 10b 9×6 12 11 1744 1584.6 158.5 0.1 1452.6
17425 Bunnies 10a 7×5 12 10 1744 1742.5 174.4 0.1 1452.1
17423 Bunnies 10 6×6 12 10 1749 1742.3 174.9 0.1 1451.9
17410 Bunnies 9 8×7 12 9 1744 1934.4 193.8 0.1 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[24][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 0.127 829.8
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
2602 Glider hits blinker 6×5 9 8 279 325.3 34.9 0.107 289.1
1108 R-pentomino relatives 6×3 7 6 116 184.7 19.3 0.105 158.3
1105 R-pentomino grandparents 4×3 5 5 116 221 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 7.3 0.149 49
243 Thunderbird 3×5 7 6 46 40.5 7.7 0.189 34.7
196 Queen bee predecessor 6×3 7 7 30 28 4.3 0.153 28
191 Queen bee 7×5 12 12 30 15.9 2.5 0.157 15.9
183 Gliders by the dozen (predecessor)[29] 7×3 9 7 124 26.1 17.7 0.678 20.3
177 Gliders by the dozen (original form) 9×5 21 20 124 8.9 6.2 0.701 8.4
175 Pi-heptomino pentaplet grandparent 4×2 5 5 55 35 11 0.314 35
173 Pi-heptomino 3×3 7 7 55 24.7 7.9 0.318 24.7
166 U-turner six-cell grandparent 6×3 7 6 16 27.7 2.7 0.096 23.7
163 U-turner 4×4 10 10 16 16.3 1.6 0.098 16.3
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 9 17.7 1.5 0.085 17.7
103 Century 4×3 6 6 15 17.2 2.5 0.146 17.2

Puffer-based methuselahs

The following methuselahs involve infinite growth mechanisms which are eventually destroyed by oncoming gliders. Because they do not follow the same distribution as traditional methuselahs, they are listed separately.

Lifespan (L) Pattern Bounding box MCPS Initial population (I) Final population (F) L/I F/I F/L L/MCPS
4764364 4764364M[30] 16×16 49 41 604190 116204 14736.3 0.127 97231.9
1370304 1370304M[31] 30×16 48 22 301370 62286.5 13698.6 0.22 28548
305230 305230M[30] 16×15 36 25 57628 12209.2 2305.1 0.189 8478.6
303421 303421M[30] 16×16 59 51 58684 5949.4 1150.7 0.193 5142.7
132364 132364M[32] 32×32 534 524 85736 252.6 163.6 0.648 247.9
128719 128719M[33] 31×31 491 481 80876 267.6 168.1 0.628 262.2
71095 71095M[30] 14×16 37 23 13959 3091.1 606.9 0.196 1921.5
71093 71093M[34] 15×16 40 25 13959 2843.7 558.4 0.196 1777.3

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. Rocknlol (October 23, 2021). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  2. goldenratio (January 17, 2021). Message in #cgol on the Conwaylife Lounge Discord server
  3. MathAndCode (September 7, 2021). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  4. MathAndCode (October 23, 2021). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  5. MathAndCode (January 17, 2021). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  6. MathAndCode (July 27, 2021). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  7. Dylan Chen (April 23, 2021). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  8. goldenratio (January 9, 2021). Message in #cgol on the Conwaylife Lounge Discord server
  9. Ian07 (January 9, 2021). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  10. Tanner Jacobi (January 9, 2021). Message in #cgol on the Conwaylife Lounge Discord server
  11. Goldtiger997 (April 24, 2020). Message in #cgol on the Conwaylife Lounge Discord server
  12. Ian07 (April 23, 2020). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  13. Ian07 (February 10, 2019). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  14. Adam P. Goucher (November 30, 2018). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  15. Ian07 (October 31, 2018). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  16. Rob Liston (October 28th, 2018). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  17. Matthias Merzenich (October 10th, 2010). Re: The Online Life-Like CA Soup Search (discussion thread) at the ConwayLife.com forums
  18. Simon Ekström (March 8, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  19. Simon Ekström (July 20, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  20. 20.0 20.1 20.2 Simon Ekström (April 10, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  21. 21.0 21.1 Simon Ekström (March 23, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  22. 22.0 22.1 22.2 dani (March 17, 2022). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums
  23. Simon Ekström (March 10, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  24. 24.0 24.1 24.2 Simon Ekström (April 3, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  25. 25.0 25.1 25.2 Simon Ekström (March 5, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  26. 26.0 26.1 Simon Ekström (March 16, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  27. 27.0 27.1 Simon Ekström (May 13, 2016). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums
  28. Simon Ekström (February 22, 2017). Re: Long-lived methuselahs (discussion thread) at the ConwayLife.com forums
  29. MathAndCode (May 21, 2020). Message in #cgol on the Conwaylife Lounge Discord server
  30. 30.0 30.1 30.2 30.3 dani (July 3, 2022). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums
  31. Paul Callahan (December 16, 2019). Re: Methuselah-ish Symmetric Soups (discussion thread) at the ConwayLife.com forums
  32. dani (August 2, 2022). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  33. dani (July 30, 2022). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  34. yaochen2 (July 2, 2022). Re: Thread For Your Useless Discoveries (discussion thread) at the ConwayLife.com forums

External links