A system for constructing relatively small polyhedra from Sonob\'e modules

TL;DR

This paper introduces a simple graph-theoretic system for designing small origami polyhedra using Sonobé modules, starting from deltahedra, to facilitate construction of compact modular structures.

Contribution

It presents a novel elementary graph-based method for constructing small augmented origami polyhedra from Sonobé modules, expanding design possibilities.

Findings

Developed a graph-theoretic framework for polyhedron design.

Enabled construction of small augmented origami polyhedra.

Applicable to convex and non-convex deltahedra.

Abstract

We develop a quite elementary graph theoretic system for designing small-size augmented origami polyhedra out of Sonob\'e modules beginning with a (convex or not) deltahedron.