A Basis for Computer Generation of the Drawings of Machine Parts : Part 1, Topological Generating Rules of Convex Polyhedral corresponding to Dual Graphs having Hamiltonian Cycles
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It is pointed out that, in making automatic the processes of machine design by means of man-machine interaction, the machine lacks the capability of generating the shape of machine parts. To overcome this difficulty in principle, the paper presents a topological method of generating convex polyhedra. As an instruction from man the edge-vertex table (k, λ_k│k=3,4,...,r, where k: number of edges gathering into a vertex, λ_k : number of k-edged vertex) is proposed. When the machine receives the edge-vertex table, it generates all of the mutually different linear dual graphs on convex polyhedra, where the graphs have Hamiltonian cycles. The fundamental theory for the above process is contained.
- 一般社団法人日本機械学会の論文
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- A Basis for Computer Generation of the Drawings of Machine Parts : Part 1, Topological Generating Rules of Convex Polyhedral corresponding to Dual Graphs having Hamiltonian Cycles
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