Self-generating hexagonal cell division patterns

✍ Scribed by Aristid Lindenmayer; Jerome Malitz; Zsolt Tuza

• Book ID: 104643463
• Publisher: Springer
• Year: 1990
• Tongue: English
• Weight: 675 KB
• Volume: 34
• Category: Article
• ISSN: 0046-5755
• DOI: 10.1007/bf00150685

✦ Synopsis

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. * Research supported in part by the University of Utrecht and in part by the 'OTKA' Research Fund of the Hungarian Academy of Sciences. 1 An infinite collection of hexagons is locally finite if for every point p of the plane there is an rp > 0 such that the circle of centre p and radius rp meets only a finite number of hexagons.