Foldings of Regular Polygons to Convex Polyhedra Ⅰ: Equilateral Triangles

摘要

To fold a regular n-gon into a convex polyhedron is to form the polyhedron by gluing portions of the perimeter of the n-gon together, i.e. the n-gon is a net of the polyhedron. In this paper we identify all convex polyhedra which are foldable from an equilateral triangle.