… to aperiodic tilings, including Penrose tilings. The two variants of Penrose tiling we consider
here … need to be investigated, because we find that the Game of Life on the rhomb tiling is …

… Grünbaum & Shephard [10, chapter 10] provide a good introduction to aperiodic tilings,
including Penrose tilings. The two variants of Penrose tiling we consider here are ‘kites and darts’…

… tilings are nonperiodic, determining the next state of each tile … of the tiling and the states of
finitely many nearby tiles. As an … moving through a region of a Penrose tiling. This constitutes a …

… The checkerboard is, in fact, a regular square tiling and we call each tile in the tiling a cell.
To play Game of Life, we start with a simple configuration of live cells on the tiling and observe …

… us a class of aperiodic tilings known as Penrose tilings [5], and Conway with his Game of Life,
a … [4] We have investigated the results of playing the Game of Life on a Penrose tiling, and …

… Another environment on which a GoL can be defined is a Penrose tiling. To see what a
Penrose tiling is we start with tiling. A tiling of a surface with a finite set of shapes (tiles) is a …

… connection with the cellular-automata game Life. It was Gosper who constructed the " glider
gun" that made it possible to" universalize" Life's cellular space. (See the three chapters on …

… tilings of quadrilaterals. We investigate its behaviour on both the P2 (kite and dart) and P3
(rhombus) Penrose tilings, … Further, we note that the path followed by the glider on the P2 tiling …

… - To appreciate mystery of Penrose tiling one should make at … On every Penrose tiling we
can draw smaller and smaller … of the uncountability of Penrose patterns (Penrose had earlier …

… Penrose kite and dart tiling of the plane: an aperiodic tiling where, in his own words, “the tiles
may be used to form an instructive game ..… geometric construction of Penrose tiles and how …