Origami robot model via an elliptic curve?

Abstract

An aim of the paper is to present a simple algorithm for creating a heaven-and-hell-origami-like object (H&H OLO) as a possible model for reconfigurable, self-folding, origami robot. It is an original, by happy chance resulting side-product of a research of synographs on an elliptic curve basis. The whole object has an analytical representation with the help of the explicit equations of the object components as well as through the simple linear transformations. Designing and creating robots, cyber-physical systems (CPSs) and others are potential branches of the next use, development and feedback inspiration.