Self-generating hexagonal cell division patterns

Aristid Lindenmayer, Jerome Malitz, Z. Tuza

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Consider the plane covered by regular hexagons. We investigate division patterns in which each hexagon is divided into two new regions, each new region has six neighbouring regions and each vertex in the new structure belongs to three new regions. These patterns are of interest for cell division processes in biology and are related to a certain class of hexagonal tilings of the plane.

Original languageEnglish
Pages (from-to)19-34
Number of pages16
JournalGeometriae Dedicata
Volume34
Issue number1
DOIs
Publication statusPublished - Apr 1990

Fingerprint

Cell Division
Hexagon
Tiling
Biology
Division
Vertex of a graph

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Self-generating hexagonal cell division patterns. / Lindenmayer, Aristid; Malitz, Jerome; Tuza, Z.

In: Geometriae Dedicata, Vol. 34, No. 1, 04.1990, p. 19-34.

Research output: Contribution to journalArticle

Lindenmayer, Aristid ; Malitz, Jerome ; Tuza, Z. / Self-generating hexagonal cell division patterns. In: Geometriae Dedicata. 1990 ; Vol. 34, No. 1. pp. 19-34.
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