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.

中文翻译：

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通过胶合规则五边形制成的所有凸多面体的完整列表

我们给出了所有凸多面体的完整描述，这些凸多面体的表面可以通过折叠和粘合边对边的几个全等正五边形来构造。我们从粘合中确定多面体图结构的方法是独立的，可以用于其他类似的设置。