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- W2022732032 abstract "We formalize paper fold (origami) by graph rewriting. Origami construction is abstractly described by a rewriting system ( O , ↬ ) , where O is the set of abstract origamis and ↬ is a binary relation on O , that models fold . An abstract origami is a structure ( Π , ∽ , ≻ ) , where Π is a set of faces constituting an origami, and ∽ and ≻ are binary relations on Π , each representing adjacency and superposition relations between the faces. We then address representation and transformation of abstract origamis and further reasoning about the construction for computational purposes. We present a labeled hypergraph of origami and define fold as algebraic graph transformation. The algebraic graph-theoretic formalism enables us to reason about origami in two separate domains of discourse, i.e. pure combinatorial domain where symbolic computation plays the main role and geometrical domain R × R . We detail the program language for the algebraic graph rewriting and graph rewriting algorithms for the fold, and show how fold is expressed by a set of graph rewrite rules." @default.
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- W2022732032 date "2010-04-01" @default.
- W2022732032 modified "2023-09-30" @default.
- W2022732032 title "Origami fold as algebraic graph rewriting" @default.
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- W2022732032 doi "https://doi.org/10.1016/j.jsc.2009.10.002" @default.
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