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Cellular automata, Pascal's triangle, and generation of order

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Publication:1101229
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DOI10.1016/0167-2789(88)90019-XzbMath0642.68094OpenAlexW2035112056MaRDI QIDQ1101229

Burton H. Voorhees

Publication date: 1988

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(88)90019-x


zbMATH Keywords

cellular automataPascal trianglenearest neighbor additive automata


Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Cellular automata (computational aspects) (68Q80) Congruences; primitive roots; residue systems (11A07) General biology and biomathematics (92B05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)


Related Items (3)

Predecessors of cellular automata states. I: Additive automata ⋮ A 4-states algebraic solution to linear cellular automata synchronization ⋮ Nearest neighbor cellular automata over \(Z_ 2\) with periodic boundary conditions



Cites Work

  • Unnamed Item
  • Algebraic properties of cellular automata
  • Geometry of Binomial Coefficients
  • Statistical mechanics of cellular automata




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