Introduction

Abstract

In the realm of symmetry various disciplines meet, resulting in a combination of knowledge that extends the abilities of each separate discipline. Publications on symmetry-related subjects are now appearing from different angles of scientific research, and conferences are increasingly being held in places all over the world. Topics such as polyhedral shapes, domes, expandability, membranes, and lightweight structures in architecture all attract specialists of a wide variety; among these are architects, engineers, mathematicians, astronomers, crystallographers, chemists, biologists, physicists, artists, designers, industrialists, and more. This blending of information is occurring with a common goal: to achieve a functional application of geometry. In such a sense, this volume basically investigates the applicatory qualities of an orbit in group-theory, for Design Science.