An elementary monodimensional binary cellular automaton -90- with 1 white starting point -bottom middle- [Un automate cellulaire binaire monodimensionnel élémentaire -90- avec 1 point de départ blanc -en bas et au milieu-].




This picture was computed using the following set of rules (B=Black, W=White):
                    BBB = W
                    BBW = B
                    BWB = W
                    BWW = B
                    WBB = B
                    WBW = W
                    WWB = B
                    WWW = W
with, for example, "BWW = B" meaning:
                    if ((CELL(x-1,t)==Black)&&(CELL(x,t)==White)&&(CELL(x+1,t)==White)) then CELL(x,t+1)=Black
This cellular automaton is called 90. As a matter of fact, when concatenating the right-hand sides of the preceding rules one obtains:
                    --------   --------
                    WBWBBWBW = 10100101 = 01011010
and the binary number 01101110 equals the decimal number 90 (for 90=64+16+8+2). It can be displayed as the following cubes:
                                    WWB=B---------------WWW=W                         B-------------------W
                                      /.                  /|                         /.                  /|
                                     / .                 / |                        / .                 / |
                                    /  .                /  |                       /  .                /  |
                                   /   .               /   |                      /   .               /   |
                                  /    .              /    |                     /    .              /    |
                               WBB=B---------------WBW=W   |                    B-------------------W     |
                                 |     .             |     |                    |     .             |     |
                                 |     .             |     |                    |     .             |     |
                                 |     .             |     |                    |     .             |     |
                                 |   BWB=W...........|...BWW=B                  |     W.............|.....B
                                 |    .              |    /                     |    .              |    /
                                 |   .               |   /                      |   .               |   /
                      ^          |  .                |  /                       |  .                |  /
                    Y |  Z       | .                 | /                        | .                 | /
                      | /        |.                  |/                         |.                  |/
                      |/       BBB=W---------------BBW=B                        W-------------------B
                      O---->
                          X
the 'X', 'Y' and 'Z' axes being respectively the 'Right', 'Left' and 'Current' axes.

By the way there are 256 different such elementary monodimensional binary cellular automata (see and ).




(CMAP28 WWW site: this page was created on 01/17/2003 and last updated on 06/25/2020 12:41:30 -CEST-)



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