Top 100 of Game-of-Life Ash Objects
Rank Common name mPr Size Sym Per Heat Infl. Total Count 1/Frequency
1 blinker
3 3 + 2 4 21 16511015164 3.038
2 block
3 4 * 1 . 16 16210373406 3.094
3 beehive
4 6 + 1 . 26 9590150574 5.230
4 loaf
5 7 / 1 . 30 2987748441 16.79
5 boat
5 5 / 1 . 22 2744696376 18.27
6 tub
4 4 * 1 . 21 613865446 81.71
7 pond
4 8 * 1 . 32 577967378 86.78
8 ship
5|6 6 x 1 . 23 377428868 132.9
9 longboat
6 7 / 1 . 29 179337034 279.7
10 toad
6 6 : 2 8 30 134257531 373.6
11 ship_on_ship
6|7 12 x 1 . 42 68720045 730
12 beacon
6 8 x 2 2 28 41069754 1221
13 barge
6 6 x 1 . 28 40648043 1234
14 loaf_on_loaf
7 14 / 1 . 53 25817479 1943
15 mango
7 8 : 1 . 34 15932502 3148
16 eater
7 7 . 1 . 28 8714673 5756
17 longbarge
7 8 x 1 . 35 6179781 8116
18 aircraft_carrier
6 6 : 1 . 26 3835606 13077
19 CP-pulsar
7 72 * 3 42.7 225 2561128 19584
20 paperclip
7 14 : 1 . 46 2435192 20597
21 longship
7 8 x 1 . 30 2067641 24259
22 shillelagh
8 8 . 1 . 31 1520530 32987
23 integral_sign
9 : 1 . 35 1427838 35129
24 boat_on_boat
10 x 1 . 40 1330890 37688
25 snake
6 6 : 1 . 24 1324115 37880
26 big_S
7 14 : 1 . 50 1261197 39770
27 pond_on_pond
7 16 x 1 . 57 1014220 49455
28 trans-boat_with_tail
8 9 . 1 . 35 574060 87374
29 hat
8 9 - 1 . 34 553099 90686
30 ship_on_boat
11 / 1 . 41 457068 109739
31 very_longboat
8 9 / 1 . 36 391728 128043
32 tub_with_tail
8 8 . 1 . 34 359107 139675
33 very_longship
8| 10 x 1 . 37 309881 161862
34 table_and_table
12 + 1 . 42 276438 181444
35 sinking_ship
8 8 / 1 . 34 228843 219181
36 cis-mirrored_R-bee
8 14 - 1 . 49 144596 346884
37 mooseantler
15 - 1 . 55 131227 382224
38 block_and_table
10 . 1 . 36 121096 414201
39 block_and_dock
14 . 1 . 50 118588 422961
40 twinpeaks
17 - 1 . 60 108896 460605
41 beehive_and_dock
16 . 1 . 60 79674 629542
42 beehive_with_tail
10 . 1 . 39 77389 648130
43 scorpion
16 . 1 . 54 61850 810964
44 loop
10 . 1 . 37 60245 832569
45 14-ner
14 . 1 . 50 52257 959835
46 cis-boat_with_tail
9 . 1 . 35 42443 1181775
47 longsnake
7 7 : 1 . 29 38056 1318008
48 trans-mirrored_R-bee
14 : 1 . 49 35998 1393358
49 JC
18 + 1 . 61 35900 1397161
50 cis-mirrored_hook
14 - 1 . 49 35372 1418017
51 elevener
11 / 1 . 41 34928 1436043
52 block_and_cap
12 . 1 . 40 33510 1496810
53 trans-loaf_with_tail
11 . 1 . 43 33020 1519022
54 cis-rotated_hook
14 : 1 . 51 32678 1534919
55 pentadecathlon
8 12 + 15 22.4 134 30747 1631317
56 trans-block_and_longhook
12 . 1 . 43 29822 1681916
57 clock
6 6 : 2 8 32 29711 1688200
58 10?003
10 . 1 . 41 26914 1863643
59 mirrored_dock
20 + 1 . 70 25762 1946980
60 broken_snake
10 . 1 . 38 24087 2082372
61 trans-hook_and_R-bee
14 . 1 . 49 23983 2091402
62 ?12?003
12 / 1 . 41 23122 2169280
63 cis-boat_and_dock
15 . 1 . 56 21696 2311859
64 ?12_eater_with_nine
12 . 1 . 44 21645 2317306
65 cis-block_and_longhook
12 . 1 . 43 20763 2415744
66 very_longsnake
8 : 1 . 34 20606 2434150
67 ?10_tub_with_nine
10 . 1 . 41 19235 2607647
68 long_shillelagh
9 . 1 . 36 16923 2963901
69 trans-R-bee_and_R-loaf
15 . 1 . 53 16635 3015215
70 boat_with_long_tail
10 . 1 . 38 16583 3024670
71 cis-hook_and_R-bee
14 . 1 . 49 15540 3227677
72 beehive_at_loaf
13 . 1 . 49 14899 3366541
73 tub_with_long_tail
9 . 1 . 37 14629 3428676
74 ?11?003
11 x 1 . 41 13690 3663849
75 ?8_snake_eater
8 . 1 . 32 13539 3704712
76 ?10_S-ten
10 : 1 . 38 12994 3860097
77 ?11_-loop
11 . 1 . 41 12872 3896682
78 ?10_great_snake_eater
10 . 1 . 39 10873 4613087
79 ?16_sym_scorp
16 - 1 . 53 10525 4765615
80 cis-loaf_with_tail
11 . 1 . 43 10473 4789277
81 ?15_bee-hat
15 . 1 . 52 9922 5055240
82 trans-rotated_R-bee
14 : 1 . 51 9839 5097885
83 long_sinkingship
9 / 1 . 39 9771 5133364
84 trans-boat_and_dock
15 . 1 . 56 8978 5586778
85 eater_on_boat
12 . 1 . 46 8548 5867816
86 R-bee_and_snake
13 . 1 . 46 8463 5926751
87 cis-boat_and_table
11 . 1 . 42 8057 6225406
88 beehive_and_table
12 . 1 . 46 7832 6404251
89 ?12_snorkel_loop
12 . 1 . 44 7534 6657565
90 trans-barge_with_tail
10 . 1 . 41 7501 6686854
91 bipole
8 : 2 4 37 6642 7551655
92 beehive_and_cap
14 . 1 . 50 6572 7632090
93 trans-boat_with_nine
11 . 1 . 42 6356 7891456
94 ortho-loaf_and_table
13 . 1 . 50 6265 8006081
95 quadpole
10 : 2 8 51 6087 8240200
96 ?12_beehive_bend_tail
12 . 1 . 44 6013 8341609
97 ?12_beehive_with_nine
12 . 1 . 46 6001 8358290
98 cis-R-bee_and_R-loaf
15 . 1 . 53 5886 8521593
99 longboat_on_ship
13 / 1 . 48 5804 8641987
100 beehive_at_beehive
12 / 1 . 45 5712 8781179
Censored ash results of 1,829,196 random seed tori with initial density 0.375 and sizes 2048 x 2048.
50,158,095,316 objects found. These were classified into 3798 distinct objects of which 95 wasn't still (heat>0).
For correct asymptotic statements, it is important to examine sufficent large areas, i.e. width > 1000,
and avoid artifical boundaries to an outer empty space.
So we conclude an average area of 152.96 cells/object and an asymptotic ash density of 0.0287115 bits/cell.
The temperature of 0.305597 changes/bit of the ash is doomed almost completely by blinkers and toads.
A heap of observed ash-patterns as character-graphic.
Most seen Game-of-Life Oscillators in the Ash
Rank Common name Sym Per Heat Infl. Total Count 1/Frequency
1 blinker + 2 4 21 16511015164 3.038
2 toad : 2 8 30 134257531 373.6
3 beacon x 2 2 28 41069754 1221
4 CP-pulsar * 3 42.7 225 2561128 19584
5 pentadecathlon + 15 22.4 134 30747 1.6*106
6 clock : 2 8 32 29711 1.7*106
7 bipole : 2 4 37 6642 7.6*106
8 quadpole : 2 8 51 6087 8.3*106
9 great-on-off
/ 2 2 65 4331 1.2*107
10 figure 8
x 8 16.5 88 1508 3.3*107
11 spark coil
+ 2 2 66 1364 3.6*107
12 mold
. 4 7.0 52 1098 4.6*107
13 quadpole on ship
. 2 8 70 458 1.1*108
14 tripole
/ 2 6 44 238 2.1*108
15 mazing
/ 4 14 66 224 2.2*108
16 blocker
. 8 9.0 78 137 3.7*108
17 jam
. 3 14.3 59 123 4.0*108
18 cis-queen bee shuttle
. 30 17.9 180 88 5.7*108
trans-queen bee shuttle
. 30 17.9 180 88 5.7*108
20 cis-beacon and dock
. 2 2 62 72 7.0*108
21 cis-beacon and table
. 2 2 48 56 9.0*108
22 trans-beacon and table
. 2 2 48 54 9.3*108
23 cloverleaf
+ 4 4.0 125 50 1.0*109
24 cis-beacon and anvil
. 2 2 69 45 1.1*109
25 test tubebaby
- 2 2 54 39 1.3*109
26 octagon II
* 5 16.0 84 30 1.7*109
unix
/ 6 11.3 86 30 1.7*109
28 tumbler
- 14 10.3 95 22 2.3*109
29 tub test tubebaby
- 2 2 66 21 2.4*109
30 trans-beacon and dock
. 2 2 62 20 2.5*109
31 cis-beacon_up and longhook
. 2 2 55 17 3.0*109
32 ?18?187
. 2 2 61 15 3.3*109
cis-beacon and cap
. 2 2 52 15 3.3*109
34 ?21?044
. 2 2 81 14 3.6*109
35 cis-beacon_down and longhook
. 2 2 55 13 3.9*109
36 griddle and block
. 2 6 54 7 7.2*109
boat_on_spark_coil
. 2 2 84 7 7.2*109
38 fore_and_back
: 2 4 75 6 8.4*109
?16?195
. 2 2 58 6 8.4*109
40 trans-block and longhook eating tub
. 3 6.0 65 5 1.0*1010
trans-beacon_down and longhook
. 2 2 55 5 1.0*1010
42 caterer
. 3 14.7 64 4 1.3*1010
griddle and beehive
. 2 6 64 4 1.3*1010
44 bipole_on_ship
. 2 4 54 3 1.7*1010
quadpole_on_boat
. 2 8 54 3 1.7*1010
cis-block and longhook eating tub
. 3 6.0 65 3 1.7*1010
?22?238
. 2 2 68 3 1.7*1010
Tim Coe's p8
. 8 12.5 90 3 1.7*1010
?17?691
. 2 2 63 3 1.7*1010
49 trans-beacon_up and longhook
. 2 2 55 2 2.5*1010
?16?450
. 2 2 53 2 2.5*1010
trans-beacon and cap
. 2 2 52 2 2.5*1010
cis-boat and longhook eating tub
. 3 6.0 71 2 2.5*1010
beehive and longhook eating tub
. 3 6.0 75 2 2.5*1010
?18?688
. 2 2 65 2 2.5*1010
?17?614
. 2 2 60 2 2.5*1010
?18?651
. 2 2 60 2 2.5*1010
griddle and boat
. 2 6 60 2 2.5*1010
?20?423
. 2 2 69 2 2.5*1010
?14?372
. 2 2 55 2 2.5*1010
(cf. oscillators out of random soup)
Legend
Rank -- running number sorted by frequency
Common name -- common object name
Size -- number of on-cells
Sym -- symmetry type (of eight possibilities)
Per -- period (0 means no period exists)
Heat -- number of changing cells
Infl. -- Influence area (all cells which are in the Moore-neighbourhood of an object on-cell)
Total Count -- number of observed occurences
1/Frequency -- reciprocal of its frequency relative to all objects
mPr -- size of minimal predecessor (after the | if generated without others)
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