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Searching for Spaceships (2002) [4 citations — 0 self]

by David Eppstein
MORE GAMES OF NO CHANCE
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Abstract:

We describe software that searches for spaceships in Conway's Game of Life and related two-dimensional cellular automata. Our program searches through a state space related to the de Bruijn graph of the automaton, using a method that combines features of breadth first and iterative deepening search, and includes fast bit-parallel graph reachability and path enumeration algorithms for finding the successors of each state. Successful results include a new 2c/7 spaceship in Life, found by searching a space with 2^126 states.

Citations

281 Depth-First Iterative-Deepening: An Optimal Admissible Tree Search – Korf - 1985
27 Fast recursive formulations for best-first search that allow controlled use of memory – Sen, Bagchi - 1989
12 Candidates for the Game of Life in Three Dimensions – Bays - 1987
12 State-Space Search: Algorithms, Complexity, Extensions, and Applications – Zhang - 1999
7 Cellular automaton growth on Z 2 : theorems, examples and problems – Gravner, Griffeath - 1998
6 What is Life – Berlekamp, Conway, et al. - 1982
4 Integer programming and Conway’s game of Life – Bosch - 1999
4 A new candidate rule for the game of two-dimensional life – Heudin - 1996
3 P.: Tight bounds on periodic cell configurations – Buckingham, Callahan - 1997
2 The discovery of a new glider for the game of three-dimensional Life – Bays - 1990
2 Larger Than Life: it’s so nonlinear – Evans - 1996
1 Cellular automata in the triangular tessellation – Bays - 1994
1 Further notes on the game of three-dimensional Life – Bays - 1994
1 Scanner-model-based document image improvement – Bern, Goldberg - 2000
1 The Game of Life, part I – Gardner - 1983
1 À la recherche du paradis perdu – Hardouin-Duparc
1 Paradis terrestre dans l’automate cellulaire de Conway – Hardouin-Duparc - 1974
1 A zoo of Life forms, http://delta.cs.cinvestav.mx/ ˜ mcintosh/ comun/zool/zoo.pdf – McIntosh - 1988
1 Life’s still lifes, http://delta.cs.cinvestav.mx/ ˜ mcintosh/comun/ still/still.pdf – McIntosh - 1988
1 Some characteristics of the smallest reported Life and alienlife spaceships – Wainwright - 1994