Analysis based on the "acceleration" of the generation prosess of the Pendulum Pattern(3)

Analysis of Pendulum Pattern - Methodology of Form Analysis based on Mathematical Modeling(9)

Abstract

Pendulum Pattern, which was one of the non-graphics way, was well-developed in art, design and phototechnical area. 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 cause of "rattling" which occurs to the Pendulum Pattern is in the sphere surface where a point mass movement is a condition of restriction. (2)The movement period of a point mass and acceleration causes "rattling" by slipping by sphere surface.