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Game of Life Cellular Automata (Paperback, 2010 ed.)
Loot Price: R4,552
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Game of Life Cellular Automata (Paperback, 2010 ed.)
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In the late 1960s British mathematician John Conway invented a
virtual mathematical machine that operates on a two-dimensional
array of square cell. Each cell takes two states, live and dead.
The cells' states are updated simultaneously and in discrete time.
A dead cell comes to life if it has exactly three live neighbours.
A live cell remains alive if two or three of its neighbours are
alive, otherwise the cell dies. Conway's Game of Life became the
most programmed solitary game and the most known cellular
automaton. The book brings together results of forty years of study
into computational, mathematical, physical and engineering aspects
of The Game of Life cellular automata. Selected topics include
phenomenology and statistical behaviour; space-time dynamics on
Penrose tilling and hyperbolic spaces; generation of music;
algebraic properties; modelling of financial markets; semi-quantum
extensions; predicting emergence; dual-graph based analysis; fuzzy,
limit behaviour and threshold scaling; evolving cell-state
transition rules; localization dynamics in quasi-chemical analogues
of GoL; self-organisation towards criticality; asynochrous
implementations. The volume is unique because it gives a
comprehensive presentation of the theoretical and experimental
foundations, cutting-edge computation techniques and mathematical
analysis of the fabulously complex, self-organized and emergent
phenomena defined by incredibly simple rules.
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