• Citer

Which Convex Polyhedra Can Be Made by Gluing Regular Hexagons?

par Arseneva, Elena;Langerman, Stefan
Référence Graphs and combinatorics
Publication Publié, 2019-03-01

Article révisé par les pairs

• Accès en ligne
• Détails
• Contenu
• Statistiques

Résumé :

Which convex 3D polyhedra can be obtained by gluing several regular hexagons edge-to-edge? It turns out that there are only 15 possible types of shapes, 5 of which are doubly-covered 2D polygons. We give examples for most of them, including all simplicial and all flat shapes, and give a characterization for the latter ones. It is open whether the remaining can be realized.