论文信息 - Self-generating hexagonal cell division patterns

Self-generating hexagonal cell division patterns

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.

Zsolt Tuza | Aristid Lindenmayer | Jerome Malitz

[1] Aristid Lindenmayer,et al. Map OL-systems with edge label control: Comparison of marker and cyclic systems , 1986, Graph-Grammars and Their Application to Computer Science.

[2] G. C. Shephard,et al. Tilings and Patterns , 1990 .

[3] F. T. Lewis. The effect of cell division on the shape and size of hexagonal cells , 1926 .

[4] Grzegorz Rozenberg,et al. Parallel Generation of Maps: Developmental Systems for Cell Layers , 1978, Graph-Grammars and Their Application to Computer Science and Biology.

[5] A. Lindenmayer,et al. Models for growth of clones in hexagonal cell arrangements: applications in Drosophila wing disc epithelia and plant epidermal tissues. , 1981, Journal of theoretical biology.

[6] Aristid Lindenmayer,et al. An introduction to parallel map generating systems , 1986, Graph-Grammars and Their Application to Computer Science.

[7] R. Korn,et al. THE GEOMETRY OF PLANT EPIDERMAL CELLS , 1973 .