User:Marrow16: Difference between revisions

From LifeWiki
Jump to navigation Jump to search
mNo edit summary
Blanked the page
 
Line 1: Line 1:
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
|}
Some interesting 'new' rules:-
{| class="sortable wikitable"
! Rulestring !! Named !! Index !! Description
|-
| B3/S12368 || VH Tuner || 4430 || Any starting pattern seems to result in vertical and horizontal lines - either stable or semi-stable (period 2 oscillations)
|-
| B3/S0123458 || Maze Plaque || 4415 || Random starting pattern is replaced by maze like appearance that seems to always end as stable
|-
| B3/S3468 || Whirly World || 4440 || Reduces to spinning oscillators
|-
| B015/S5678 || Wax and Wane || 18400 || Areas seem to wax and wane
|-
| B23/S2347 || Circuit Board || 6300 || Random starting pattern reduces to something that looks like a circuit board
|-
| B012345678/S012356 || Psychedelic Continents || 261743 || Forms continent shapes that flash
|-
| B167/S13457 || City Blocks || 99514 || Random starting pattern reduces to blocks
|-
| B3/S2378 || ? || 4492 || Occasionally produces gliders
|-
| B34/S23 || Water Surface || 12300 || Patterns that resemble the surface of water
|}

Latest revision as of 13:26, 5 November 2017