User:Marrow16: Difference between revisions

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[[JaGol]]
Author of [[JaGol]] [https://github.com/marrow16/JaGol GitHub]
 
As there are 262144 (= 2<sup>18</sup>), it is possible to give each rule a unique 'index' based on a binary digit for each B (born with) and S (survives with) count:-
 
{| class="wikitable"
! B8 !! B7 !! B6 !! B5 !! B4 !! B3 !! B2 !! B1 !! B0 !! S8 !! S7 !! S6 !! S5 !! S4 !! S3 !! S2 !! S1 !! S0
|-
| 2<sup>17</sup> || 2<sup>16</sup> || 2<sup>15</sup> || 2<sup>14</sup> || 2<sup>13</sup> || 2<sup>12</sup> || 2<sup>11</sup> || 2<sup>10</sup> || 2<sup>9</sup> || 2<sup>8</sup> || 2<sup>7</sup> || 2<sup>6</sup> || 2<sup>5</sup> || 2<sup>4</sup> || 2<sup>3</sup> || 2<sup>2</sup> || 2<sup>1</sup> || 2<sup>0</sup>
|-
| 131072 || 65536 || 32768 || 16384 || 8192 || 4096 || 2048 || 1024 || 512 || 256 || 128 || 64 || 32 || 16 || 8 || 4 || 2 || 1
|}
 
Applying this index to known outer-totalistic rules:-
{| class="sortable wikitable"
! Rulestring !! Name !! Index
|-
| B0123478/S01234678 || [[AntiLife]] || 212959
|-
| B012345678/S34678 || [[InverseLife]] || 262104
|-
| B1/S012345678 || [[H-trees]] || 1535
|-
| B1/S1 || [[Gnarl]] || 1026
|-
| B1357/S02468 || [[Fredkin]] || 87381
|-
| B1357/S1357 || [[Replicator (CA)|Replicator]] || 87210
|-
| B2/S || [[Seeds]] || 2048
|-
| B2/S0 || [[Live Free or Die]] || 2049
|-
| B234/S || [[Serviettes]] || 14336
|-
| B25678/S5678 || [[Iceballs]] || 248288
|-
| B3/S012345678 || [[Life without death]] || 4607
|-
| B3/S023 || [[DotLife]] || 4109
|-
| B3/S12 || [[Flock]] || 4102
|-
| B3/S1234 || [[Mazectric]] || 4126
|-
| B3/S12345 || [[Maze]] || 4158
|-
| B3/S1237 || [[SnowLife]] || 4238
|-
| B3/S124 || [[Corrosion of Conformity]] || 4118
|-
| B3/S13 || [[LowLife]] || 4106
|-
| B3/S23 || [[Conway's Game of Life|Conway's Life]] || 4108
|-
| B3/S238 || [[EightLife]] || 4364
|-
| B3/S45678 || [[Coral]] || 4592
|-
| B34/S34 || [[34 Life]] || 12312
|-
| B34/S456 || [[Bacteria]] || 12400
|-
| B345/S2 || [[Blinkers]] || 28676
|-
| B345/S4567 || [[Assimilation]] || 28912
|-
| B345/S5 || [[Long Life]] || 28704
|-
| B3457/S4568 || [[Gems]] || 94576
|-
| B34578/S456 || [[Gems Minor]] || 225392
|-
| B35/S234578 || [[Land Rush]] || 20924
|-
| B3567/S15678 || [[Bugs (outer-totalistic cellular automaton)|Bugs]] || 119266
|-
| B35678/S4678 || [[Holstein]] || 250320
|-
| B35678/S5678 || [[Diamoeba]] || 250336
|-
| B357/S1358 || [[Amoeba]] || 86314
|-
| B357/S238 || [[Pseudo Life]] || 86284
|-
| B36/S125 || [[2x2]] || 36902
|-
| B36/S235 || [[Blinker Life]] || 36908
|-
| B36/S23 || [[HighLife]] || 36876
|-
| B367/S125678 || [[Slow Blob]] || 102886
|-
| B3678/S235678 || [[Stains]] || 233964
|-
| B3678/S34678 || [[Day & Night]] || 233944
|-
| B368/S238 || [[LowDeath]] || 168204
|-
| B368/S245 || [[Move]] || 167988
|-
| B37/S1234 || [[Mazectric with Mice]] || 69662
|-
| B37/S12345 || [[Maze with Mice]] || 69694
|-
| B37/S23 || [[DryLife]] || 69644
|-
| B378/S012345678 || [[Plow World]] || 201215
|-
| B378/S235678 || [[Coagulations]] || 201196
|-
| B38/S23 || [[Pedestrian Life]] || 135180
|-
| B38/S238 || [[HoneyLife]] || 135436
|-
| B45/S12345 || [[Electrified Maze]] || 24638
|-
| B45678/S2345 || [[Walled cities]] || 254012
|-
| B4678/S35678 || [[Vote 4/5]] || 238056
|-
| B5678/S45678 || [[Vote]] || 246256
|}

Revision as of 13:38, 4 November 2017

Author of JaGol GitHub

As there are 262144 (= 218), it is possible to give each rule a unique 'index' based on a binary digit for each B (born with) and S (survives with) count:-

B8 B7 B6 B5 B4 B3 B2 B1 B0 S8 S7 S6 S5 S4 S3 S2 S1 S0
217 216 215 214 213 212 211 210 29 28 27 26 25 24 23 22 21 20
131072 65536 32768 16384 8192 4096 2048 1024 512 256 128 64 32 16 8 4 2 1

Applying this index to known outer-totalistic rules:-

Rulestring Name Index
B0123478/S01234678 AntiLife 212959
B012345678/S34678 InverseLife 262104
B1/S012345678 H-trees 1535
B1/S1 Gnarl 1026
B1357/S02468 Fredkin 87381
B1357/S1357 Replicator 87210
B2/S Seeds 2048
B2/S0 Live Free or Die 2049
B234/S Serviettes 14336
B25678/S5678 Iceballs 248288
B3/S012345678 Life without death 4607
B3/S023 DotLife 4109
B3/S12 Flock 4102
B3/S1234 Mazectric 4126
B3/S12345 Maze 4158
B3/S1237 SnowLife 4238
B3/S124 Corrosion of Conformity 4118
B3/S13 LowLife 4106
B3/S23 Conway's Life 4108
B3/S238 EightLife 4364
B3/S45678 Coral 4592
B34/S34 34 Life 12312
B34/S456 Bacteria 12400
B345/S2 Blinkers 28676
B345/S4567 Assimilation 28912
B345/S5 Long Life 28704
B3457/S4568 Gems 94576
B34578/S456 Gems Minor 225392
B35/S234578 Land Rush 20924
B3567/S15678 Bugs 119266
B35678/S4678 Holstein 250320
B35678/S5678 Diamoeba 250336
B357/S1358 Amoeba 86314
B357/S238 Pseudo Life 86284
B36/S125 2x2 36902
B36/S235 Blinker Life 36908
B36/S23 HighLife 36876
B367/S125678 Slow Blob 102886
B3678/S235678 Stains 233964
B3678/S34678 Day & Night 233944
B368/S238 LowDeath 168204
B368/S245 Move 167988
B37/S1234 Mazectric with Mice 69662
B37/S12345 Maze with Mice 69694
B37/S23 DryLife 69644
B378/S012345678 Plow World 201215
B378/S235678 Coagulations 201196
B38/S23 Pedestrian Life 135180
B38/S238 HoneyLife 135436
B45/S12345 Electrified Maze 24638
B45678/S2345 Walled cities 254012
B4678/S35678 Vote 4/5 238056
B5678/S45678 Vote 246256
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