2x2 100 most common patterns

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Yimmy
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Joined: February 18th, 2015, 2:01 pm

2x2 100 most common patterns

Post by Yimmy »

I was bored, so I went over to catogolue and made this
First row is ranking, second is apgcode, and third is amount of appearances.
  • 1: xs2_3 8123579974 (Domino)
    2: xs2_12 2850251451
    3: xs5_255 681480785
    4: xs3_124 657594212
    5: xs6_699 402007563
    6: xs4_116 348002594
    7: xp2_156 245488461
    8: xs5_296 134028359
    9: xp2_ff 111004752
    10: xs6_696 57973159 (beehive)
    11: xp26_36c 30880284
    12: xp2_386 29802543
    13: xs5_128c 26787599
    14: xp4_18f 19463756
    15: xp14_23s44 17406747
    16: xp4_2dh 15924618
    17: xs7_2596 10774033 (loaf)
    18: xp2_152c 9570916
    19: xp4_13ac 9319016
    20: xs6_1agc 9207318
    21: xp4_6hp 8913849
    22: xs6_69i 7975962
    23: xq8_2je4 7221713 ([2x2] crawler)
    24: xs7_6hq 5043003
    25: xp2_ell 4878696
    26: xp2_68j 4091978
    27: xs6_39c 3951957 (carrier)
    28: xs8_6996 3438886 (pond)
    29: xp10_hrrrh 2817491
    30: xs8_69ic 1956781 (mango)
    31: xs6_6hc 1482830
    32: xp2_6gr 1065513
    33: xs9_255kk 894355
    34: xp2_1q0c 887779
    35: xp2_0j86z1 849841
    36: xs8_25hk8 832108
    37: xs5_1248g 739588
    38: xs7_255o 659283
    39: xp14_0h51z1 648606
    40: xs7_0i96z1 563153
    41: xp2_15akg 530455
    42: xp6_vvz77 518433
    43: xs8_116886 380397
    44: xs7_124gk8 375325
    45: xs6_124go 284154
    46: xs6_0g8421z1 270238
    47: xp2_154k8 236410
    48: xp22_17w71 235788
    49: xs8_251452 224725
    50: xs8_2ll8 191834
    51: xs7_21eg8 183103
    52: xs9_2ll44 177406
    53: xp2_1542a4 166940
    54: xs7_6hcz1 158880
    55: xp2_154kg 132220
    56: xp2_m1qz1 110249
    57: xp14_124080s 106951
    58: xs8_g88611z1 96018
    59: xp2_1248gk4 92174
    60: xp2_154ko 80542
    61: xp2_1lk2c 66000
    62: xp4_44rrrrr44 65116
    63: xs9_29mg6 64704
    64: xp2_1542154 62693
    65: xs9_2kl58 61779
    66: xs8_44ll 57447
    67: xs8_215413 51748
    68: xs9_611686 51132
    69: xp2_124gk4 50126
    70: xs10_o0o552z01 49860
    71: xp2_44lj 48388
    72: xs11_254ll2 42476
    73: xs8_55kk 42088
    74: xs8_2542a4 38419
    75: xs8_c2pz21 37030
    76: xs9_g88616z1 36843
    77: xs7_0m1cz1 36114
    78: xs11_550u16 32214
    79: xs10_21lk2c 30162
    80: xs10_255kk8 26635
    81: xs8_1248gk8 26317
    82: xp2_2a8413 24567
    83: xs8_25128c 24055
    84: xs8_06hcz21 23515
    85: xs10_30fg4c 22821
    86: xp2_1542ac 21442
    87: xp4_6brrb6 20173
    88: xs8_g08413z11 19786
    89: xp6_78w87 19565
    90: xs11_61u08ozx1 18387
    91: xs8_21eg84 18047
    92: xp10_vuwuvz1y01 17727
    93: xp2_30eg84 16581
    94: xs7_0g8413z1 16440
    95: xp2_154kg8 15235
    96: xp2_30fgk4 14320
    97: xs9_25128a4 14272
    98: xp2_2akm15 14231
    99: xp2_68b886z303 14081
    100: xs8_2154k8 13846
Last edited by Yimmy on September 24th, 2015, 8:44 pm, edited 1 time in total.
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Lewis
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Re: 2x2 100 most common patterns

Post by Lewis »

Is there much in the way of information about when the various common-ish oscillators in this rule were found, and who found them? I know there's that 'stamp collection' of oscillators found by Alan Hensel and Dean Hickerson before 1999, but I have no idea if that was all the known higher-period oscillators known then or just a sample of them.
Objects like xp3_550i826 and xp10_hrrrh seem like they ought to have been found alongside the other objects there.

EDIT: Are there any widely accepted names for any of the small still lifes/oscillators in this rule?
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Yimmy
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Joined: February 18th, 2015, 2:01 pm

Re: 2x2 100 most common patterns

Post by Yimmy »

I'm pretty sure only stuff that also works in normal life the domino, and the 2X2 crawler
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