标题： 紧致多面体的顶点展开 显示英文标题

标题： Vertex unfoldings of tight polyhedra

摘要： 沿多面体的边展开多面体，如果相邻的面不仅可以在边相连，也可以在顶点相连，则称为顶点展开。 Demaine 等人证明了每个三角剖分的多面体都有一个顶点展开。 我们将这一结果扩展到紧致多面体，其中多面体是紧致的，如果所有非三角形的面都是相互不相邻的平行四边形。 显示英文摘要

摘要： An unfolding of a polyhedron along its edges is called a vertex unfolding if adjacent faces are allowed to be connected at not only an edge but also a vertex. Demaine et al showed that every triangulated polyhedron has a vertex unfolding. We extend this result to a tight polyhedron, where a polyhedron is tight if all non-triangular faces are mutually non-adjacent parallelograms.