Analysis based on the "acceleration" of the generation process of the Pendulum Pattern(11)

Analysis of Pendulum Pattern - Methodology of Form Analysis based on Mathematical Modeling(17)

Abstract

Pendulum Pattern, which was one of the non-graphics way, was well-developed in art, design and phototechnical area. The forms of Pendulum Pattern, which is defferent from the general expression in graphics. Today, the study of Pendulum Pattern itself is not developed as it is difficult to describe the basic rule. In this study, I describe Pendulum Pattern generated rules by mathematical principle modeling based on theories of non-linear dynamical systems. As a result I comfirmed the following. (1)The transition state of “Two forces” caused by “velocity” and “gravity” has a great influence on the characteristics of the Pendulum Pattern. (2)The transition in the correlation between the “Two forces” is thought to be caused by the shape of the sphere surface, which is a constraint on mass motion.