  We introduce our GraftalLace Cellular Automaton in short GLCA which is a new
one-dimensional cellular automaton on the regular square lattice. It makes a
monochromatic infinite directed graph otherwise an octal number triangle or
number trapezoid by partly influences the states of the neighbour cells with
bit operations. We show new ways to make symmetric fractals like Sierpinski
triangle and Pascal triangle modulo 3 and unknown complex patterns. We find
reversible rules and show possibilities to represent and extend our automaton
in different ways. 2D version of GLCA can be represented as a 3D digraph or a
2D animated tessellation which could be a closer relative of Conway's Game of
Life.
