Proposal of educational mathematical origami model with edutainment

Folding/wrapping model of frat circular membranes by modified Archimedean spiral configurations

Abstract

The purpose of this paper is to present generalized models of compact folding/wrapping method of flat circular membranes around a central hub using modified Archimedean spiral configurations. By using the formulated simple angle relations between fold-lines, various kinds of wrapping models are shown to be easily designed. The present models are expected not only to design a fundamental modeling of sail wrapping of solar-sail spacecraft but also to be used for instructional materials with edutainment.