Angular homeostasis: III. The formalism of discrete orbits in ontogeny |
| |
Authors: | Kenneth R. Berger Edmond A. Murphy |
| |
Affiliation: | 1. Division of Medical Genetics, The Johns Hopkins University School of Medicine, 21205, Baltimore, MD, USA
|
| |
Abstract: | The formal properties of orbits in a plane are explored by elementary topology. The notions developed from first principles include: convex and polygonal orbits; convexity; orientation, winding number and interior; convex and star-shaped regions. It is shown that an orbit that is convex with respect to each of its interior points bounds a convex region. Also, an orbit that is convex with respect to a fixed point bounds a star-shaped region. Biological considerations that directed interest to these patterns are indicated, and the implications of the prospect of higher orders of star-shapedness mentioned. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|