Geometric Simplification of Cyber-Physical Systems

Abstract

Human beings are always attracted to patterns, designs, and shapes. Even infants are attracted to the geometry around them. Angles, shapes, lines, line segments, curves, and other aspects of geometry are ubiquitous. Even the letters are constructed of lines, line segments, and curves. Nature also has an abundance of geometry. Patterns can be found on leaves, in flowers, in seashells, and many other places. Even the human bodies consist of patterns, curves, and line segments. Therefore, like many professions, the cyber-physical systems also require at least a foundational understanding of geometry. This chapter elucidates the use of geometry to simplify the design and analysis of cyber-physical systems to enhance the efficiency in social applications. The knowledge learned through the understanding of geometric principles provides not only an increase in safety but also an increase in the creation of tools, skill level enhancement, and aesthetically pleasing arrangements.