Voronoi diagrams generated by regressing edges of precipitation fronts

Hantz, P�ter; de Lacy Costello, Ben; Ratcliffe, Norman M.

Abstract

The Voronoi diagram generated by regression edges of precipitation fronts was analyzed. In the reaction-diffusion system, one of the reagents penetrates into a gel by diffusion and forms a precipitate with the other reagent homogenized in the gel. It was observed that the spontaneous partitioning of the reacted phases results in the construction of a pattern analogous to a Voronoi diagram. It was found that the plane pertaining to generalizations of Voronoi diagrams would be formed where the regression edges at some points of the reactor are initiated at a later stage of the diffusion fronts advance.

• Journal Article Type: Article
• Publication Date: Feb 1, 2004
• Journal: Journal of Chemical Physics
• Print ISSN: 0021-9606
• Electronic ISSN: 1089-7690
• Publisher: AIP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 120
• Issue: 5
• Pages: 2413-2416
• DOI: https://doi.org/10.1063/1.1635358
• Keywords: Voronoi diagrams, precipitation fronts
• Public URL: https://uwe-repository.worktribe.com/output/1062885
• Publisher URL: http://dx.doi.org/10.1063/1.1635358