A Complete List of All Convex Polyhedra Made by Gluing Regular Pentagons
2020 Volume 28 Pages 791-799
Details
2020 Volume 28 Pages 791-799
We give a complete description of all convex polyhedra whose surface can be constructed from several congruent regular pentagons by folding and gluing them edge to edge. Our method of determining the graph structure of the polyhedra from a gluing is of independent interest and can be used in other similar settings.